How many times does 9 go into 695 with partial quotient divison

Answers

Answer 1
it's 77 remainder two

Related Questions

Heather works as a waitress at her family's restaurant she works every 2 hours every morning during the breakfast shift and returns to work each evening for the dinner shift in the last 4 days she worked 28 hours if Heather works the same number of hours each evening how many hours did she work during each dinner shift?

Answers

Heather worked 5 hours every evening during each dinner shift.

What is a Linear Equation?

Linear equations are equations whose highest power of the variables is 1. The graph of a linear equation is a straight line.

A nonlinear equation is an equation whose highest power of the variables is not 1 and the graph is not a straight line.

Let morning shift = m

evening shift = e

Representing the word problem in an equation;

4(m + e) = 28

Diving both sides by 4

m + e = 7

but she always works 2 hours in th morning shift

2 + e = 7

e = 7 - 2

e = 5

Therefore she worked 5 hours in the evening shift for 4 days.

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I NEED HELP ASAP!! Find the measure of the missing angle X

I NEED HELP ASAP!! Find the measure of the missing angle X

Answers

Answer:

x=50°

Step-by-step explanation:

The function g(x) is a transformation of the cube root parent function,
f(x)=√x. What function is g(x)?
5-
1
-5-
1
g(x)
f(x)
5
O A. g(x)=√x+2+1
B. g(x)=√x-1+2
O C. g(x)=√x-2+1
O D. g(x)=√x+1+2

The function g(x) is a transformation of the cube root parent function,f(x)=x. What function is g(x)?5-1-5-1g(x)f(x)5O

Answers

By using horizontal and vertical translations, we find that the expression for g(x) is g(x) = \(\sqrt[5]{x - 2}\) + 1. (Correct choice: C)

What kind of transformations have been done on a parent function to generate another function?

The picture presents us the graphs of two functions. The blue function represents the parent function f(x), whose form is \(f(x) = \sqrt[5]{x}\), whereas the black function is the transformed function g(x), which is the result of applying two transformations:

Horizontal translation 2 units in +x direction.Vertical translation a unit in +y direction.

Then, we must apply the following definition involving the concepts of horizontal and vertical translations:

g(x) = f(x - 2) + 1     (1)

If we know that \(f(x) = \sqrt[5]{x}\), then the complete expression of the function is:

g(x) = \(\sqrt[5]{x-2}\) + 1

Hence, by using horizontal and vertical translations, we find that the resulting expression for g(x) is g(x) = \(\sqrt[5]{x - 2}\) + 1. (Correct choice: C)

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X=
2 Michael bakes a soft pretzel and a loaf of bread. Use the system of equations to
find c, the amount of flour, in cups, needed for the soft pretzel, and b, the amount
of flour, in cups, needed for the loaf of bread. Show your work.
b = 24c
5
16+ 4c = 2/
SOLUTION

Answers

The value of b is 3.

The value of c is 1/8.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 5 = 9 is an equation.

We have,

Two equations given are:

b = 24c ____(1)

(1/4)b + 4c = 5/4 _____(2)

Putting (1) in (2) we get,

(1/4)24c + 4c = 5/4

6c + 4c = 5/4

10c = 5/4

c = 5/40

c = 1/8

Putting c = 1/8 in (1) we get,

b = 24/8

b = 3

Thus,

b = 3.

c = 1/8.

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Carlita saw 5 times as many robins as she did cardinals while bird watching. She saw a total of 36 birds. How many more robins did she see than cardinals?

Answers

Answer: Calita saw 30 Robins and  6 Cardinals

Step-by-step explanation:

Step 1

  writing the mathemathecal expression  becomes

Let robins be represented as R

and Cardinals be represented as C

so our first equation becomes

R+C = 36----- eqn 1

but she saw 5times as many robins as cardinals, with a total of 36 birds making us have

Therefore R= 5C

 5C +C= 36------- eqn 2

STEP  2--- solving equation 2

5C+C = 36

6C= 36

C= 36/6=6

Puting the valueof C=6 in equation 1 becomes

R+C= 36

R+6=36

R=36-6= 30

R=30

Therefore Calita saw 30 Robins and  6 Cardinals

A counter in Lamar's kitchen is 1 yard wide and 2 yards long. Lamar wants to replace the counter with a granite countertop, which would cost $204.63 per square yard. How much would the granite countertop cost?

Answers

Answer:

Step-by-step explanation:

Comment

Find the number of square yards

Area = L * w

L = 2

w = 1

Area = 2 * 1

Area = 2

Now for the counter top

1 sq yard costs 204.63

2 sq yards cost 2 * 204.63

2 sq yards cost 409.26

Answer: 409.26

is 3 cubed is the same as 3x3x3​

Answers

Answer:

Yes

Step-by-step explanation:

3 cubed is \(3^3\\\) which is the same as 3x3x3

Yes,

Reason:- 3³ = 3×3×3 which gives 27

So your answer is Yes

Which expression is not equivalent to a · c · 5 · 5?

25 ca
10 ac
25 ac

Answers

Answer:

a.c,means ac or ca and 5.5=25,So 10 ac is not equivalent

If f(x)= 5x + 4
find
the inverse of f(x)

Answers

Answer:

f(x)=y

5x+4=y

5x=y-4

x=y-4/5

inverse of x=(x-4)/5

I need help I don't understand at all.

I need help I don't understand at all.

Answers

Let's solve your equation step-by-step.

1/4x - 2 = -6 + 5/12x

Step 1: Subtract 5/12x from both sides.

So now the problem is: -1/6x - 2 = -6

Step 2: Add 2 to both sides

So now the problem is -1/6x = -4

Step 3: Multiply -6 to both sides

Now you have x alone and 24

Answer: x = 24
1/4x-2= -6+5/12x1/4x-5/12x= -6+23x-5x/12= -42x= -4×122x= -48x= -48÷2x= -24

please mark this answer as brainlist

help me please!!!!!!!!

help me please!!!!!!!!

Answers

Answer:

BC = 29.4

Step-by-step explanation:

30² = 20² + BC² -2•20•BC•cos(108)

900 = 400 +BC² -12.4•BC

900 -400 = BC² -12.4•BC

BC² -12.4•BC -500 = 0

Solve the equation using Bhaskara and you'll find two possible values for BC, which are:

BC = -17 and BC = 29.4

A negative number doesn't make sense because it is a side of a triangle, so we choose BC = 29.4

What is the degree of the polynomial 2x² 3xy 5y² 2?

Answers

The degree of the given polynomial is 2 because the highest exponent is 2 present in terms 2x^2 or 5y^2.

First, try to understand what is polynomial.

Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables. x^2+ 3x - 5 is an illustration of a polynomial with a single variable. There are three terms in this example: x^2, 3x, and -5.

The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases."

Now let's talk about the degree of the polynomial.

The highest exponent of a monomial contained within a polynomial is referred to as the polynomial's degree. As a result, a polynomial equation with one variable having the biggest exponent is referred to as a polynomial degree.

The terms of a given polynomial is 2x^2, 3xy, 5y^2, and 2 Highest exponent is 2 in 2x^2 or 5y^2.

So the degree of the polynomial is 2.

The given Question is an incomplete complete question here.

\(2x^2 + 3xy + 5y^2 +2\).

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the difference between 75% of a number and 20% of the same number is 378.9 what is 40% of that number?

Answers

\(\begin{gathered} \text{ If we note by "x" our number, then} \\ 0.75\cdot x-0.2x=378.9 \\ (0.75-0.2)x=378.9 \\ 0.55x=378.9 \\ x=\frac{378.9}{0.55} \\ x=688 \end{gathered}\)

Thus, the 40% of the number is

\(688.909\cdot0.4=275.563\)

What is the common factor of each term in the expression 2b 1 5b?

Answers

Answer:

the common factor is b since it is divisible by both 2b and 5b

Step-by-step explanation:

URGENT PLS IM DESPERATE!!! IT'S DUE IN 35 MINUTES!!! Write an equation for each table, graph, and verbal description. (A) Table of X and Y values. When X is 1, Y is 9. When X is 2, Y is eighteen. When X is 3, Y is twenty-seven. When X is 4, Y is thirty-six. y = x (B) First quadrant of a coordinate plane. The points 0 comma 0, 2 comma 5, 4 comma ten, 6 comma fifteen, 8 comma twenty, and ten comma twenty-five are graphed and connected with a line. y = x (C) Each hour, Milo reads 24 pages. y = x

URGENT PLS IM DESPERATE!!! IT'S DUE IN 35 MINUTES!!! Write an equation for each table, graph, and verbal

Answers

Your answer will be:

y = 9x

y = 2.5x

y = 24x

I hope this helps!

URGENT PLS IM DESPERATE!!! IT'S DUE IN 35 MINUTES!!! Write an equation for each table, graph, and verbal

A presidential candidate plans to begin her campaign by visiting the capitals in of states. what is the probability that she selects the route of specific​ capitals?

Answers

The probability that a presidential candidate selects a specific route of capitals is impossible to determine without knowing the specifics of the route.

The probability of a presidential candidate selecting a specific route of capitals depends on a variety of factors. For example, if the route includes a large number of states, then the probability of selecting that route decreases. If the route includes fewer states, then the probability of selecting that route increases. Additionally, the candidate's strategy and objectives in selecting the route also play a role in determining the probability. For example, if the candidate is trying to reach certain demographics or regions of the country, then the probability of selecting a certain route may be higher. Ultimately, the probability of a presidential candidate selecting a specific route of capitals is impossible to determine without knowing the specifics of the route.

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A small apartment has a 10ft by 10ft bedroom, a 5ft by 5ft bathroom, and a single multi-use 14ft by 18ft living room/kitchen. what is the total square footage (area) of the apartment?

Answers

The total square footage (area) of the apartment is 337 square feet.

It is given in the question that, In a small apartment:-

Dimensions of the bedroom = 10 ft by 10ft

Dimensions of the bathroom = 5 ft by 5 ft

Dimensions of the living room/kitchen = 14 ft by 18 ft

We have to find the total square footage (area) of the apartment.

We know that,

Area of square = \(side^2\)

Hence,

Area of the bedroom = 100 square feet

Area of the bathroom = 25 square feet

Area of the living room/ kitchen = 212 square feet

Hence,

Total square footage of the apartment = 100 + 25 + 212 = 337 square feet.

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Simplify. 2x(-11x - 7) A) –22x2 -14x B) –11x2 -14x C) -22x - 14x2 D) 22x2 -14x2
GIVING BRAINLIST

Answers

Answer:

a.-22x²-14x

Step-by-step explanation:

2x(-11x-7)

multiply each term in the parentheses by 2x

2x*-11x - 2x*7

= -22x²- 14x

Answer:

\( \sf \: a) - 22 {x}^{2} - 14x\)

Step-by-step explanation:

Given expression,

→ 2x(-11x - 7)

Let's simplify the expression,

→ 2x(-11x - 7)

→ (2x × -11x) - (2x × 7)

→ (2 × -11)x² - (2 × 7)x

→ (-22)x² - (14)x

→ -22x² - 14x

Hence, option (a) is correct.

I need alottttt of hellp

I need alottttt of hellp

Answers

The expressions that have 3 as the greatest common factor are b + 3 + 6c, 27n + 66p, and 36 - 9j + 6k.

Thus,

b + 3 + 6c         - Yes

-30 - 24z           - No

27n + 66p         - Yes

36 - 9j + 6k       - Yes

Determining the greatest common factor

From the question, we are to determine if 3 is the greatest common factor of the given expressions

b + 3 + 6c

3(b + 1 + 2c)

The greatest common factor is 3

-30 - 24z

6(-5 -4z)

The greatest common factor is not 3. The greatest common factor is 6

27n + 66p

3(9n + 22p)

The greatest common factor is 3

36 - 9j + 6k

3(12 - 3j + 2k)

Thus, The greatest common factor is 3

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A soil element in the field has various complicated stress paths during the lifetime of a geotechnical structure. The behaviour of this soil can be predicted under more realistic field conditions. Briefly discuss simulation field conditions in the laboratory using shear strength test.

Answers

The simulation of field conditions in the laboratory using shear strength tests allows for the prediction of soil behavior under realistic stress paths. This involves subjecting the soil element to various complex stress paths that it would experience during the lifetime of a geotechnical structure.

In shear strength testing, the laboratory conditions are designed to mimic the field conditions as closely as possible. This includes replicating the stress levels, stress paths, and boundary conditions that the soil would encounter in the field. The laboratory setup typically involves a shear box or a triaxial apparatus, where the soil sample is confined and subjected to controlled loading.

To simulate realistic field conditions, different types of stress paths can be applied during the shear strength testing. This could involve cyclic loading to simulate the effect of repeated loading and unloading, as well as different combinations of vertical and horizontal stresses to replicate the stress paths experienced by the soil in the field. The testing can also consider time-dependent effects, such as creep and consolidation, which influence the long-term behavior of the soil.

By simulating field conditions in the laboratory through shear strength testing, engineers and researchers can better understand the behavior of soil under realistic stress paths. This information is crucial for designing geotechnical structures that can withstand the complex and varied stress conditions they may encounter in the field.

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GIVING BRAINLIEST PLS HELP!! Which of the following absolute value expressions are equal to 10. (More than 1)
-8 + |-17 - 1|
120 ➗ |-2 • 3|
|-15 ➗ 5| • (-5)
|20 - 25| • 2
33 - |6 + 17|

Answers

Answer:

The First One and the last one

A ballet school wants to buy new slippers for students in a class. They collected the sizes and displayed them in a line plot.

A horizontal number line starting at 3.5 with tick marks every 0.5 units up to 8. The following values are labeled: the value of 4 has one dot, the value of 4.5 has two dots, the value of 5 has two dots, the value of 6 has one dot, the value of 6.5 has two dots, the value of 7 has one dot, and the value of 8 has one dot. The image is titled Ballet Shoe Sizes.

What is the range, and what does it mean in terms of this data set?

The range is 4.5, and it means that the data varies by a value of 4.5.
The range is 3.5, and it means that it is the value that occurs the most.
The range is 4.0, and it means that the data varies by a value of 4.0.
The range is 4.0, and it means that it is the value that is the smallest.

Answers

As a result, the answer to the following question, This implies that the ballet shoe range in the class vary significantly, with some students having significantly bigger or smaller feet than others.

What is range?

The variable's range is calculated by taking its greatest observed value and subtracting its minimum observed value (minimum). Possible range or variational bounds: a variety of steel costs; a variety of styles; The scope or size of a method or action: perception. The maximum or anticipated range of a weapon's projectile. A list or set's range is the number between the lowest and maximum. Align all of the numbers before determining the region. Next, subtract (reduce) the lowest number from the greatest number. The solution includes the range of the list. The solution specifies the range of the list.

The range is 4.5, which implies that the difference between the data set's biggest and lowest values is 4.5. The range is 8 - 3.5 = 4.5 since the biggest number is 8 and the smallest value is 3.5. This implies that the ballet shoe sizes in the class vary significantly, with some students having significantly bigger or smaller feet than others.

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Between Method A (MAD of 1.4) and Method B (MAD of 1.8) which forecasting method performed the best?

Answers

Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.

To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.

A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.

Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.

Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.

Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy. 

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The average high temperatures in degrees for a city are listed. 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57if a value of 98° is added to the data, how does the mean change?a. the mean increases by 8.2°. b. the mean decreases by 8.2°. c. the mean increases by 1.4°. d. the mean decreases by 1.4°.

Answers

Answer:

b

Step-by-step explanation:

Samuel measured a house and it’s a lot and made a scale drawing the scale he used was 14 inches:5 feet in the drawling the porch is 56 inches wide what is width of the actual porch

Answers

the width of the actual porch will be 20 feet.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A rectangle is a closed, four-sided figure in two dimensions. All of a rectangle's angles are equal to 90 degrees, and its opposite sides are equal and parallel to one another. See the shape, sides, and angles of the rectangle in the illustration below.

The scale of the Drawing was 14:5

If the width of the porch is 56 inches then what is the length of the porch

Since the scale of the drawing is 14:5 this implies that ratio of width of drawing and the original is 14:5.

Let x be the original width of porch and the width of the drawing is given as 56 inches, therefore by the given ratio we have

56:x=14:5

x = 56*5/14 = 20 feet

Hence the width of the actual porch will be 20 feet.

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Wingard Credit Union is redesigning the entryway into its bank of ATM machines. Management is interested in understanding how long customers spend in front of the ATMs. Customer service times follow an Exponential distribution, with an average customer taking 3.9 minutes to complete a transaction. Calculate the probability that a customer will take less than two minutes. Additionally, calculate the probability that a customer will take more than 4 minutes. The probability that a customer will take less than two minutes is \%. (Enter your response rounded to one decimal place.) a what is the probability a customer will take less than 2 mins?
b. what is the probability that a customer will take more that 4 mins ?

Answers

According to the question a.)  the probability that a customer will take less than two minutes is 0.424 or 42.4%. b.) the probability that a customer will take more than four minutes is 0.097 or 9.7%.

Let's calculate the probabilities using the given information.

a. Probability that a customer will take less than 2 minutes:

The average customer service time is 3.9 minutes, which corresponds to λ (lambda) in the exponential distribution. Plugging in the values, we have:

\(P(X < 2) = 1 - e^\(-3.9 * 2\)

Calculating this expression, we find:

P(X < 2) ≈ 0.424

Therefore, the probability that a customer will take less than two minutes is approximately 0.424 or 42.4%.

b. Probability that a customer will take more than 4 minutes:

Using the same average customer service time of 3.9 minutes, we can calculate:

\(P(X > 4) = e^\(-3.9 * 4\)

Calculating this expression, we find:

P(X > 4) ≈ 0.097

Therefore, the probability that a customer will take more than four minutes is approximately 0.097 or 9.7%.

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You are driving on the freway and notice your speedometer says to. The car in front of you appears to be coming towards you at speed
4
1

to. and the car behind you appears to be gaining on you at the same speed
4
1

to. What speed would someone standing on the ground say each car is moving? (b) Suppose a certain type of fish always swim the same speed. You watch the fish swim a certain part of a river with length L. You notice that it takes a time
6
1

t
0

for the fish to swim downstream but only
3
1

t
0

to swim upstream. How fast is current of the river moving? (c) You now want to swim straight across the same river. If you swim (in still water) with a speed of
10
3L

, what direction should you swim in? (d) How long does it take to get across if the river has a width of
3
1

L. Problem 7 Relative (a) You are driving on the freeway and notice your speedometer says t
0

. The car in front of you appears to be coming towards you at speed
4
1

t
0

, and the car behind you appears to be gaining on you at the same speed
4
1

t
0

. What speed would someone standing on the ground say each car is moving? (b) Suppose a certain type of fish always swim the same speed. You watch the fish swim a certain part of a river with length L. You notice that it takes a time
6
1

t
0

for the fish to swim downstream but only
3
1

t
0

to swim upstream. How fast is current of the river moving? (c) You now want to swim straight across the same river. If you swim (in still water) with a speed of
f
a


3L

, what direction should you swim in? (d) How long does it take to get across if the river has a width of
3
1

L.

Answers

a) The speed of the car in front of you appears to be coming towards you is 41t₀. The speed of the car behind you appears to be gaining on you at the same speed is 41t₀. Someone standing on the ground would say that the two cars are moving at t₀ + 41t₀ = 82t₀.

b) We know that the speed of the fish in still water is V, and the speed of the current is C. And the time the fish takes to swim downstream is 61t₀ and upstream is 31t₀. So:

Downstream: V + C = L / (61t₀)

Upstream: V - C = L / (31t₀)

Adding the two equations we get:

2V = (4L / 61t₀) → V = (2L / 61t₀)

Therefore, C = (L / 61t₀) which is the speed of the current.

c)In order to get across the river, you have to swim at a speed perpendicular to the current (so that you don't get drifted away) and with a speed of fa * 3L, as given. Therefore, the required angle can be found by:

f a3L = (V cos α)sin α

= (C cos α)sin αtan α

= (fa * 3L) / C

= 3fa * 61t₀ / Ld)

The width of the river is 31L. The time taken to get across can be found using the formula:

Time = (Distance) / (Speed)

Since the speed of the current is C, the effective speed (in still water) is fa * 3L, the distance to be crossed is 31L, and the time taken is:

Time = (31L) / (fa * 3L - C)  

= (31L) / (3fa * 61t₀ / L)

= (31L²) / (3fa * 61t₀)

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The question is in the screenshot. Please help me answer question 67.

The question is in the screenshot. Please help me answer question 67.

Answers

Given data:

The list and the measurment of ingredients used to make 16 brownies is as follows.

Butter = 2/3 cups.

unsweetended choclolate = 5 ounces.

sugar = 1 1/2

vanilla = 2 tablespoons.

egg = 2

flour = 1 cup

to find the recipe, ingredients used to make 8 brownies.

Reduce the measure by half,. that is dividing it by 2.

thus,

Butter =1/3

unsweetended choclolate= 2.5 ounces

sugar = 3/4 cup

vanilla = 1 tablespoon.

egg =1

flour= 1/2 cup.

PLEASE HELP ITS IMPORTANT!!


a dutch company built a submarine that can hold 10 passengers and 1 pilot the submarine has a safety feature that will automatically raise the submarine if it goes below -650 feet to show this feature to a buyer the sub dove a depth of -872 (5/12) feet the automatic feature then rose the sub 50 (3/5) feet per minute how much time in minutes does it take in minutes for the sub to reach the certified depth? round your answer to the nearest tenth of a minute.

Answers

Using a linear function, it takes 4.4 minutes for the sub to reach the certified depth.

What is a linear function?

A linear function is modeled according to the following rule:

y = mx + b

In which:

m is the slope, called the rate of change of the function, given by the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis(x = 0).

For this problem, the velocity is constant, which is why a linear function is used.

The slope and intercept are given as follows:

Slope of 50.6, as the velocity is of 50 and 3/5 feet per minute = 50 + 3/5 = 50 + 0.6 = 50.6.Intercept of -872.42, which is the initial depth, converting the mixed number to decimal as we did for the slope above.

Hence the depth after t minutes is given by:

D(t) = -872.42 + 50.6t.

The certified depth is reached when D(t) = -650, hence:

D(t) = -872.42 + 50.6t.

-650 = -872.42 + 50.6t.

t = (872.42 - 650)/50.6

t = 4.4 minutes.

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A poll conducted by the UC Berkeley Institute of Governmental Studies in 2019 found that 51.7% of 4527 respondents said they considered moving out of the state. Complete parts a through c. a) Compute a 90% confidence interval for the proportion of all Californians who considered moving out of state. b) Int repret your interval in this context. Select the correct answer below and fill in the answer baxes to complete your choice: (Type integers or decimals rounded to one decimal place as needed.) A. One is 90% conficent that the probability a randomly sampled Casfornian who considered moving out of the state is between and B. One is 90% confident that the true proportion of Californans who considered moving out of the slate is between y and C. The percent of Calilomians who considered moving out of the state is between % and D. There is a 90se chance, based on this sample, that betreen … and % of Californians considered moving out of state c) Since high cost of housing has often been cited as a reason why residents move out, suppose thę state government wil consider investing in new aftordable housing initiatives if it can be reasonably sure that more than 50% of Californians would consider moving. What should the state government conclude, based on the data? Since the contidence interval _____50\%, the state government____consider investing in new atordabie housing initiatives.

Answers

Therefore, the state government should consider investing in new affordable housing initiatives.

a) To compute the 90% confidence interval, we can use the formula:

CI = p ± z*(√(p(1-p))/n)

where p is the sample proportion, z is the z-score corresponding to a 90% confidence level (which is 1.645), and n is the sample size.

Plugging in the values, we get:

CI = 0.517 ± 1.645*(√((0.517)(1-0.517))/4527)

CI = 0.505 to 0.529 (rounded to three decimal places)

b) The 90% confidence interval tells us that we are 90% confident that the true proportion of Californians who considered moving out of the state is between 0.505 and 0.529.

c) Since the confidence interval does not include the value of 0.5, which is the null hypothesis value, we can conclude that there is evidence to suggest that more than 50% of Californians would consider moving out of state due to high cost of housing.

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