I need answer asap please thank you

I Need Answer Asap Please Thank You

Answers

Answer 1

Answer:

I mean all your doing is adding the equations together. 4x+7x is 11x, -5y+2y is -3y, and 18+10 is 28. So you'll get 11x-3y=28

Answer 2

Answer:

x=86/49,y=−8/7

Step-by-step explanation:

Write the problem as a mathematical expression.

7x−5y=18

7x+2y=10

Multiply each equation by the value that makes the coefficients of x opposite.

(−1)⋅(7x−5y)=(−1)(18)

7x+2y=10

Simplify.

−7x+5y=−18

7x+2y=10

Add the two equations together to eliminate x

from the system.

− 7x+ 5y=−18

 7x+2y  =10

  7y=−8

Divide each term by 7 and simplify.

y=−8/7

Substitute the value found for y into one of the original equations, then solve for x .

x=86/49

The solution to the independent system of equations can be represented as a point.

(86/49,−8/7)

The result can be shown in multiple forms.

Point Form:

(86/49,−8/7)

Equation Form:

x=86/49,y=−8/7


Related Questions

The number of loaves of bread that can be baked is proportional to the amount of flour used. Determine the number of loaves that can be baked with 15 cups of flour

Answers

Answer:

3 loaves

Step-by-step explanation:

See attachment for complete question.

Represent Loaves with L and Flour with F

Since L is proportional to F, the relationship can be defined as:

L = kF

Where k represent the constant of proportionality

When L = 4, F = 20

Substitute these values in the above formula.

4 = k * 20

Divide both sides by 20

4/20 = k

⅕ = k

k = ⅕

To solve for 15 cups of Flour, we have:

F = 15

Substitute 15 for F and ⅕ for k in L = kF

L = ⅕ * 15

L = 3

Hence, 3 loaves will be baked using 15 cups of flour

The number of loaves of bread that can be baked is proportional to the amount of flour used. Determine

rut gon cac phan so sau36\63 30\25 24\32 15\30

Answers

2348833bdjdjfjfj ududdu

Question 5
(01.02 LC)
Which number has an 8 that is the value of the 8 in 78? (2 points)
10
O 7.08
O 7.8
O 78
O 7,800
Math

Answers

Answer:

7.8

Step-by-step explanation:

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Mr nealy has $107.40 he withdrew $120 from the ATM. Does he have enough money to pay for the meal? If he has enough money, how much change will he get back?

Answers

Answer: He has enough

Step-by-step explanation:120-107.40=12.60

suppose that karen, sue, and peter all work 10 hours a day. in an hour, karen can make one widget or 3 thingamajigs. in an hour, sue can make one widget or one thingamajig. in an hour, peter can make 3 widgets or one thingamajig. if they all split their time evenly between making widgets and thingamajigs, how many thingamajigs can they make?

Answers

The three workers can produce 25 thingamajigs if they split their time evenly between producing widgets and thingamajigs.

Step 1: Calculate the production rate of each workerFirstly, calculate the production rate of each worker for both widgets and thingamajigs. In one hour, Karen can make 1 widget or 3 thingamajigs. In one hour, Sue can make 1 widget or 1 thingamajig. Lastly, Peter can make 3 widgets or 1 thingamajig in one hour.Karen's hourly production rate: 1 widget or 3 thingamajigsSue's hourly production rate: 1 widget or 1 thingamajigPeter's hourly production rate: 3 widgets or 1 thingamajig

Step 2: Calculate the total hourly production of the groupSecondly, calculate the hourly production of the entire group. To split their time evenly, they will have to spend 5 hours each producing widgets and thingamajigs.In 5 hours, Karen can produce 5 widgets or 15 thingamajigs (since her hourly production rate is 1 widget or 3 thingamajigs).In 5 hours, Sue can produce 5 widgets or 5 thingamajigs (since her hourly production rate is 1 widget or 1 thingamajig).In 5 hours, Peter can produce 15 widgets or 5 thingamajigs (since his hourly production rate is 3 widgets or 1 thingamajig).Step 3:

Calculate the total number of thingamajigsLastly, add up the total thingamajigs produced by each worker in 5 hours and you'll have the answer:15 (Karen's production) + 5 (Sue's production) + 5 (Peter's production) = 25 thingamajigsIn total, the three workers can produce 25 thingamajigs if they split their time evenly between producing widgets and thingamajigs.

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3- Find all values of Z such that e² = 2+i√3

Answers

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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2. 8 × - 11 - 3× + 8

please solve this thankyou!!​

Answers

Answer:

-54.8 ( in fraction -274/5)

Step-by-step explanation:

2.8 × (-11) - 3 × 8 =

-30.8 - 24 =

-54.8 ( in fraction -274/5)

If you wanted to find the depth of a submarine during a dive, would it be more reasonable to use an equation with the rate in feet per minute or feet or hour? Explain why?

Answers

Answer: i would say feet per minute

Step-by-step explanation:seems more reasonable

what does -16t^2 mean in h(t)=5+100t-16t^2

Answers

-16t^2 represent the position on the graph on the negative side.

According to the statement

we have given equation is h(t)=5+100t-16t^2 -(1)

And we have to find representation of -16t^2

we know that the equation number (1) represent the Quadratic Equation

And in this we have to solve the Quadratic Equation and find the representation of the given terms. then

h(t)=5+100t-16t^2

5+100t-16t^2 = 0

16t^2 -100t-5 = 0

In this equation 16t^2 represent the equation on the graph.

It means that it shows the position on the graph.

Overall, -16t^2 represent the position on the graph on the negative side.

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Demand and Consumer Surplus: Joe's demand for pizza can be described with this function: Q = 30 - 2P where Q is the number of slices of pizza consumed per week and Pis the price of a slice. a. Plot the demand curve, with P on the vertical axis and on the horizontal axis. Label the vertical and horizontal intercepts (5 points). b. Joe's total spending on pizza at P = 5 equals 20*5 = 100. His total spending on pizza at P=4 is 22*4 = 88. Without calculating the elasticity of demand directly, what do these total spending figures tell you about Joe's elasticity of demand for pizza between P= 5 and P=4? Explain. (5 points) c. Suppose P=9. Calculate Joe's consumer surplus at this price. (5 points) d. Suppose a rise in the price of tomatoes results in pizza prices rising to $15 (!) per slice. What is Joe's consumer surplus at this new price? (5 points)

Answers

The total spending figures indicate that Joe's demand for pizza is elastic as his total spending decreases when the price decreases, suggesting he is responsive to price changes.

What is the interpretation of Joe's total spending figures for pizza at different prices?

a. The demand curve for Joe's pizza can be plotted by using the equation Q = 30 - 2P, where Q represents the quantity of pizza consumed and P represents the price per slice.

On the graph, the vertical axis represents the price (P), and the horizontal axis represents the quantity (Q). The vertical intercept occurs when Q is 0, which corresponds to P = 15. The horizontal intercept occurs when P is 0, which corresponds to Q = 30.

b. The total spending on pizza at P = 5 is $100, and the total spending at P = 4 is $88. This information indicates that Joe's total spending decreases as the price of pizza decreases.

Based on this, we can infer that Joe's elasticity of demand for pizza between P = 5 and P = 4 is elastic. When the price decreases from $5 to $4, the total spending decreases, indicating that the demand is responsive to price changes.

c. When P = 9, we can substitute this value into the demand function to calculate the corresponding quantity: Q = 30 - 2(9) = 30 - 18 = 12. To calculate Joe's consumer surplus, we need to find the area of the triangle formed by the demand curve and the price line.

The consumer surplus is given by (1/2) ˣ  (9 - P) ˣ  Q = (1/2) ˣ (9 - 9) ˣ  12 = 0.d. If the price of pizza rises to $15 per slice, we can again substitute this value into the demand function to find the corresponding quantity: Q = 30 - 2(15) = 30 - 30 = 0.

Joe's consumer surplus at this new price would be zero since he is not consuming any pizza at that price, resulting in no surplus.

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Brady has been
approved for a home loan on a property he has under contract. The purchase
price is $150,000, and he is required to have $5,250 as a down payment. Which
of the following loan types is Brady most likely getting?




a. Conventional loan




b. ARM loan




c. FHA loan




d. VA loan




e. Fixed loan

Answers

The type of loan that Brady most likely getting  is option (a) conventional loan

Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.

ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.

VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.

Therefore, the correct option is (a) Conventional loan

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Help me please, I’ll give brainliest!!

Help me please, Ill give brainliest!!

Answers

Answer:

A line that is perpendicular to y=2/5x-5 must have a slope of -5/2, but a line parallel to line y=5/2x+6 must have a slope of 5/2, and these slopes do not match up.

Explanation:

In order for a line to be parallel to another line, they must have the same slope. In order for a line to be perpendicular to another line, their slopes must be opposite reciprocals (meaning that when they are multiplied, the product is -1). From here you can find what slope the line must have to perpendicular or parallel to another line, and then you can see that the answers to not match up to be the same line!

Hope this helped :)

WHICH OF THE FOLLOWING ANGLES CANNOT BE CONSTRUCTED USING
RULER AND COMPASSES?
(a) (b) 85 (c) 15 (d) 135

Answers

It is d hope this helps

If you want to buy an item in a store that costs $40 and is on sale for 30% off, then how much would the item actually cost you after the discount? Round to the nearest cent.

Answers

The amount that the item actually cost you after the discount is $28.

What is a discount?

A discount simply means the amount that's is less off from a product.

The following information can be deduced:

Cost of item = $40

Sales off = 30%

The cost of the item will be:

= Cost - Discount

= $40 - (30% × $40)

= $40 - $12

= $28

The cost is $28.

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Please help with this

Please help with this

Answers

Answer:

142.75

Step-by-step explanation:

can you help me please ​

can you help me please

Answers

9514 1404 393

Answer:

  240

Step-by-step explanation:

The generic k-th term of the expansion of the binomial ...

  (a +b)^n

is given by ...

  (nCk)a^(n-k)b^k . . . . . where nCk = n!/(k!(n-k)!) and 0 ≤ k ≤ n

For this problem, we have ...

  a=2x, b=y, n=6, k=2

Then the 2nd term (counting from 0) is ...

  6C2×(2x)^4×y^2 = (6·5)/(2·1)·16x^4·y^2

  = 240x^4y^2

The desired coefficient is 240.

_____

Additional comment

The coefficients for the expansion match the numbers in a row of Pascal's triangle. The row beginning with 1, n will have the coefficients for the expansion to the n-th power.

can you help me please

What is the sequence 6, 30, 150, 750, ____ ?

Answers

The value of the missing number and the 6th term is 3750

What is a geometric sequence?

The formula for determining the nth term of a geometric sequence with a common ratio greater than one is expressed as;

Tn = ar^n-1

From the information given, the first term(a) is 6 and we are to find the 5th term, thus, n is 5

Let's substitute into the formula

T5 = 6 × 5^5-1

T5= 6× 5^4

Find the value

T5 = 6 × 625

T5 = 3750

Thus, the value of the missing number and the 6th term is 3750

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Xan will cover some of this box in wrapping paper. He plans to leave one of the largest faces uncovered.

A prism has a length of 11 centimeters, height of 12 centimeters, and width of 10 centimeters.

How much wrapping paper will Xan need?
592 square cm
614 square cm
724 square cm
808 square cm

Answers

Answer:

614

Step-by-step explanation:

right on edge unit test

Pleaseeeeee helpppppp!
I will mark brainliest, but pls only if you know the answer
Its Geometry A

Pleaseeeeee helpppppp!I will mark brainliest, but pls only if you know the answerIts Geometry A

Answers

Answer:

see explanation

Step-by-step explanation:

A base angle

B leg

C vertex angle

D leg

E base angle

F base

in any isosceles triangle there are 2 congruent legs and 2 congruent base angles.

the base angles are opposite the congruent legs

the remaining side, the base is the 3rd side of the triangle

the vertex angle is formed by the 2 congruent legs

1. Consider a simple Taylor rule with an inflation target of zero: i=F+t+t, where it is the nominal interest rate, 7> 0 is the natural real interest rate, T, is inflation, and it is the output gap. The aggregate demand and supply equations are given by t = -(rt-1- F) + pit-1 + ε and ₁=₁-1+0ỹt + e, where ep and are demand and supply shocks, respectively. The relationship between it and rt is given by the Fisher identity (assuming expected inflation is equal to current inflation): rt=it-t. All parameters (r, o, y, B, p, α) are > 0. Further, assume that the following parameters (o, B, p, y < 1). Suppose that there is one-time 10% supply shock at time t = 0 so that = 0.1. There is no further demand or supply shock after t = 0. Assume that prior to t=0, the economy was in steady state with i= r, π = 0, y = 0, and r = r. (a) Solve for inflation and the output gap at t = 0 and 1 (i.e., To, 71,90,91) as functions of model parameters (or compute the exact values if available). (b) Suppose that ≤1. Show that ₁ ≥ yo ≥ 0 and 7₁ ≥ To > 0. (c) Suppose that > 1. Show that it is possible to stabilize inflation after only one period (i.e., 1 0). At what value of 0 would this occur? (d) What can you say about the role of the value of or for inflation stabilization? But what is the cost of a higher ratio of on/oy?

Answers

a) The inflation rate at t = 1 is 0 and the output gap at t = 1 is 0.1.

b) So, 7₁ > 0 and To > 0 (As given, all parameters are > 0)

c) It is possible to stabilize inflation after only one period at B/p = (r - 7₁)/0.1

d) a higher ratio of on/oy is beneficial for inflation stabilization.

(a) Given,

Inflation target (π) = 0

Nominal interest rate (i) = F + t + t

Natural real interest rate (r) = 7 > 0

Output gap (y) = ỹt

Aggregate demand equation is t = -(rt-1- F) + πt-1 + ε

Aggregate supply equation is ỹt = ỹt-1+0t + e

Inflation rate (πt) = 0 for all t.

Nominal interest rate i = r + πt + ỹt

By Fisher identity, rt = it - πt

Now, for t = 0

Before the shock, i = r, π = 0 and y = 0

Given,

shock = 0.1

So, for t = 0,

output gap is given by

ỹt = ỹt-1+0t + e

= 0 + 0.1 + 0

= 0.1

Now, i = r + πt + ỹt

= r + 0 + 0.1

= r + 0.1

So, at t = 0, inflation rate π = 0 and output gap ỹ0 = 0.1

At t = 1

Inflation rate π1 = 0 (As given in the question)

Nominal interest rate i1 = r + π1 + ỹ1

So, we need to find ỹ1.

Now, putting the value of inflation rate and nominal interest rate in the Fisher identity, we get

rt-1 = i1 - π0

= r + ỹ1

Therefore, from the aggregate supply equation we ge

tỹ1 = ỹ0+0(ỹ1) +

e= 0.1 + e

Putting the value of ỹ1 in the nominal interest rate equation we get

i1 = r + π1 + ỹ1

= r + 0 + 0.1 + e

= r + 0.1 + e

(b) Given,o, B, p,

y < 1

Let ỹ0 = α

Then ỹ1 = 0.1 + e ≤ 1 (As given)

So, 0 ≤ ỹ1 ≤ 1

Now, from the aggregate supply equation we have,

ỹt = ỹt-1+0(ỹt) + e

As it is an increasing function of e and 0 < ỹ1 ≤ 1, we get ỹ2 < ỹ1 and 0 ≤ ỹ2 ≤ 1

So, 0 ≤ ỹt ≤ 1 for all t.

Hence, yo ≥ 0

Now, ỹ1 = α + 0.1 + e ≤ 1

So, α ≤ 0.9

So, 0 ≤ α ≤ 0.9

Now, let's calculate 7₁ and

π1.7₁ = rt-1

= i1 - π0

= r + ỹ1 - 0

= r + 0.1

So, 7₁ > 0 and To > 0 (As given, all parameters are > 0)

(c) Given, > 1

At time t = 0, the output gap is given by ỹ0 = α

Then, ỹ1 = 0.1 + e, and ỹ2 = 0.1 + 0 = 0.1

As ỹ2 is constant, it is clear that inflation will be stabilized after only one period.

To check this explicitly, let's calculate π1

Now, 7₁ = r + 0.1So, i1 = 7₁ + π1

By Fisher identity, i0 - π0 = rt-1

= r

Therefore, i0 = r + π0

So, the shock is given bye = ỹ1 - ỹ0-0(7₁)

= 0.1 - α

From the aggregate demand equation, we get

t = -(rt-1- F) + πt-1 + ε

= -(r - F) + 0 + ε

= -r + F + ε

Now, we can calculate inflation at t = 1 as

π1 = π0 + (1-B)(α - ỹ0) + B(π0 + o + y ỹ1) - p(7₁ - r)

π1 = 0 + (1-B)(α - α) + B(0 + o + y 0.1) - p(7₁ - r)

π1 = 0.1B - p(7₁ - r)

We want π1 = 0

So, 0.1B - p(7₁ - r) = 0

Thus, B/p = (r - 7₁)/0.1

Let B/p = ζ, then ζ = (r - 7₁)/0.1

Thus, it is possible to stabilize inflation after only one period at B/p = (r - 7₁)/0.1

(d) As we saw in part (c), a higher value of the ratio B/p results in the stabilization of inflation after only one period. Therefore, a higher ratio of on/oy is beneficial for inflation stabilization.

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The radius of a circle is 2 feet. Central angle AOB cuts off arc AB. The length of arc AB is 2pi/9 yards. What is the radian measure of angle AOB?

Answers

π/3 radian is the radian measure of angle AOB

How to find the radian measure of angle AOB?

The length of an arc can be calculated using the arc length formula in radians below:

Arc Length (L) = θ × r

Where

θ is  is the radian measure of the angle and r is the radius of the circle

Given: L = 2π/9 yards, r = 2 feet = 2/3 yard

L = θ × r

2π/9 = θ × 2/3

θ  = (2π × 3) / (9×2)

θ  = π /3 radian

Therefore, the radian measure of angle AOB is π /3 radian

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what is the sum of 4 and -5​

Answers

Answer:

-1

Step-by-step explanation:

its like subtracting 5 and 4

The designer sketched a model of the pond. The model drawing had a circumference of 24 inches. What is the AREA of the model she drew? Show your work. Round your answer to the nearest tenth.

Answers

Answer:

Area of model pond = 45.6 inch² (Approx.)

Step-by-step explanation:

Given:

Circumference of circular pond = 24 inches

Find:

Area of model pond

Computation:

Circumference of circle = 2πr

Circumference of circular pond = 2πr

24 = 2[22/7][r]

Radius r = [24 x 7] / [2 x 22]

Radius r = 3.81 inch (Approx.)

Area of circle = πr²

Area of model pond = πr²

Area of model pond = (22/7)(3.81)²

Area of model pond = [3.1428][14.5161]

Area of model pond = 45.6 inch² (Approx.)

Ou are taking a​ multiple-choice test that has 4 questions. Each of the questions has 3 answer​ choices, with one correct answer per question. If you select one of these choices for each question and leave nothing​ blank, in how many ways can you answer the​ questions?

Answers

Answer:

In 256 ways

Step-by-step explanation:

The number of answer choices will be; 4 * 3 = 12 answer choices

Okay, so per question we have 4 choices

The number of ways we can answer the first question is 4 ways since there are 4 choices

For the second question, 4 ways also

For the third 4 ways

And for the last question, four ways too

So the number of ways to correctly answer the question will be ;

4 * 4 * 4 * 4 = 256 ways

3) A lottery ticket says that the chances of winning are 1 in 8. Suppose you buy 10 of these lottery tickets. Find the probability that at least one of them will be a winner

Answers

The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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The mean SAT score in mathematics is 519. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis and the alternative hypothesis that they would use. brainly

Answers

The alternative hypothesis that H1 : µ   > 519

What is a hypothesis short answer?

A hypothesis is an assumption, an idea that is proposed for the sake of argument so that it can be tested to see if it might be true. In the scientific method, the hypothesis is constructed before any applicable research has been done, apart from a basic background review.

Hypothesis Examples -

If I replace the battery in my car, then my car will get better gas mileage.If I eat more vegetables, then I will lose weight faster.If I add fertilizer to my garden, then my plants will grow faster.If I brush my teeth every day, then I will not develop cavities.

The mean SAT score in mathematics = 519

\(H_{0}\)  : µ  = 519                 or          \(H_{0}\) : µ  \(\leq\)   519

\(H_{1}\) :  µ   > 519

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x-y = -4 , 3x + 2y = 7

Answers

The solution to the system of equations is x = -0.2 and y = 3.8.

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two sides, usually separated by an equals sign (=). The expressions on both sides are called the left-hand side (LHS) and the right-hand side (RHS) of the equation.

Equations are used to represent relationships between variables and to find unknown values. Solving an equation involves determining the values of the variables that make the equation true.

Equations play a fundamental role in mathematics and are used in various disciplines such as algebra, calculus, physics, engineering, and many other fields to model and solve problems

To solve the system of equations x-y = -4 and 3x + 2y = 7, we can use the method of substitution.

From the first equation, we can isolate x by adding y to both sides: x = -4 + y.

Now, substitute this expression for x in the second equation: 3(-4 + y) + 2y = 7.

Simplify the equation: -12 + 3y + 2y = 7.

Combine like terms: 5y - 12 = 7.

Add 12 to both sides: 5y = 19.

Divide both sides by 5: y = 3.8.

Substitute this value back into the first equation to find x: x - 3.8 = -4.

Add 3.8 to both sides: x = -0.2.

Therefore, the solution to the system of equations is x = -0.2 and y = 3.8.

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. suppose a population was normally distributed with a mean of 10 and standard deviation of 2. what proportion of the scores are below 12.5? explain your answer with reasoning.

Answers

The proportion of scores that are below 12.5 is 0.8944 or 89.44%.

Given that the population is normally distributed with a mean of 10 and a standard deviation of 2, we can calculate the proportion of scores below 12.5 using the z-score formula.

z = (x - μ) / σwhere x = 12.5, μ = 10, and σ = 2.

Substituting these values into the formula, we get:

z = (12.5 - 10) / 2z = 1.25

We must find the area under the standard normal distribution curve to the left of z = 1.25. This area represents the proportion of scores that are below 12.5.

We can use a standard normal distribution table or calculator to find this area. Using a standard normal distribution table, the area to the left of z = 1.25 is 0.8944.

Therefore, the proportion of scores below 12.5 is 0.8944 or 89.44%.

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The diameter of ball bearing are ditributed normally. The mean diameter i 81 millimeter and the variance i 16. Find the probability that the diameter of a elected bearing i greater than 85 millimeter. Round your anwer to four decimal place

Answers

the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587

The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.

To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.

We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.

We the look up the probability for a value of 1 in the z-table, which is 0.1587.

This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.

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LESSON 18 SESSION 4
7 Tell whether each statement is True or False.
a. 80% of 90 is the same as of 90.
b. 45% of 60 is 27.
c. 20% of 90 is the same as
as
d. 25 is 35% of 80.
of 90.
of
True False
о
O
о
O
L

Answers

a. 80% of 90 is the same as of 90 - False

b. 45% of 60 is 27 - True

c. 20% of 90 is the same as as of 90- True

d. 25 is 35% of 80 -False

What are the statement  about?

a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.

b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.

c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.

Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.

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