Find the unknown 9,006-7,474?

Multiply 15 and 6.8. So speed * time = distance

So the answer is 102

Answer:

sine and tangent

will be positive.

The correct representation of the function g(x) as a translation 2 units right and 5 units up of f(x) = -√√x is:

g(x) = -√√(x - 2) + 5.

To perform a translation 2 units right, the x-coordinate needs to be replaced with (x - 2). This shift moves the entire graph horizontally to the right by 2 units.

Additionally, to shift the graph 5 units up, we add 5 to the function. Thus, the function g(x) is obtained by taking the negative square root of the square root of (x - 2) and then adding 5 to the result.

Among the given options, g(x) = -√√(x - 2) + 5 accurately represents the translation described, while the other options either have incorrect sign placement, incorrect order of operations, or an incorrect translation direction.

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The predicted value of y when I = 5 is equal to D) 30.

To determine the predicted value of y when I = 5, we can use the equation of the simple linear regression model:

y = b0 + b1x

where b0 and b1 are the regression coefficients and x is the predictor variable.

We can find b1 using the formula:

b1 = r(Sy/Sx)

where r is the sample correlation coefficient, Sy is the standard deviation of the y variable, and Sx is the standard deviation of the x variable.

Plugging in the given values:

b1 = -0.98(8/2) = -4

We can find b0 using the formula:

b0 = ybar - b1*xbar

where ybar and xbar are the mean of the y variable and the x variable respectively.

Plugging in the given values:

b0 = 10 - (-4)*10 = 50

Therefore, the equation of the simple linear regression model is:

y = 50 - 4x

So when I = 5, the predicted value of y is:

y = 50 - 4(5) = 50 - 20 = 30

The closest answer choice is D. 30.

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\(h + 12 = 22 \: (put \: h = 10) \\ 10 + 12 = 22 \\ 22 = 22 \\ lhs = rhs\)

i hope it helped you

Answer:

h+12 = 22

subtract 22 from both side

h+12-22 = 22-22

h-10= 0

ad 10 on both side

h-10+10 = 0+10

h=10

Answer:

first one: a,d,e

second one: d

Step-by-step explanation:

pemdas

Answer:

1.- A

2.- A

Step-by-step explanation:

To solve this question we need to do a rule of 3, this way:

0.5 h ---> 65people

5 h ------> x

650 people could ride the ferries wheel in 5 hours.

                       SOLVING LEFT-SIDED RIGHT TRIANGLE

Answer:

The value of the missing length of the side x=26 units

Step-by-step explanation:

The Pythagorean theorem states

\(\:a^2\:+\:b^2\:=\:x^2\)

We will use the Pythagorean Theorem to solve for the missing side length.

\(24^2\:+\:10^2\:=\:x^2\)

switch both sides

\(x^2=24^2+10^2\)

\(x^2=576+100\)

\(\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\)

\(x=\sqrt{676},\:x=-\sqrt{676}\)

\(x=26,\:x=-26\)

As x can not be negative.

Therefore, the value of the missing length of the side x=26 units

                          SOLVING LEFT-SIDED RIGHT TRIANGLE

Answer:

The value of the missing length of the side y=15 units

Step-by-step explanation:

Considering the right-sided right triangle

The Pythagorean theorem states

\(a^2\:+\:b^2\:=\:c2\)

We will use the Pythagorean Theorem to solve for the missing side length.

\(15^2\:+\:y^2\:=\:\left(15\sqrt{2}\right)^2\)

\(225+y^2=450\)    ∵ \(\left(15\sqrt{2}\right)^2=450\)

\(y^2=225\)

\(y=\sqrt{225},\:y=-\sqrt{225}\)

\(y=15,\:y=-15\)

As y can not be negative.

Therefore, the value of the missing length of the side y=15 units

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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Answer:

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of variances.

Ohio had an average of 52, standard deviation of 7.22, sample of 40.

This means that \(\mu_O = 52, s_O = \frac{7.22}{\sqrt{40}} = 1.1416\)

Pennsylvania had an average of 33, standard deviation of 10.11, sample of 33.

This means that \(\mu_P = 33, s_P = \frac{10.11}{\sqrt{33}} = 1.76\)

Distribution of the difference:

\(\mu = \mu_O - \mu_P = 52 - 33 = 19\)

\(s = \sqrt{s_O^2 + s_P^2} = \sqrt{1.1416^2 + 1.76^2} = 2.1\)

Confidence interval:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.999}{2} = 0.0005\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.0005 = 0.9995\), so Z = 3.29.

Now, find the margin of error M as such

\(M = zs\)

\(M = 3.29*2.1 = 6.91\)

The lower end of the interval is the sample mean subtracted by M. So it is 19 - 6.91 = 12.09 hours per week

The upper end of the interval is the sample mean added to M. So it is 19 + 6.91 = 25.91 hours per week.

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

Step-by-step explanation:

when it is phrased like that it should mean that we apply the scale factor to the original images to create the new ones.

and that means the new images will in our case be bigger by the factor of 2.

therefore, the 4th answer option is correct.

2 cm turn into 2×2 = 4 cm

1.5 cm turn into 2×1.5 = 3 cm

3 cm turn into 2×3 = 6 cm

P(Z > z) = 0.1801  => P (Z< z ) = 0.91 (From z table) .

Given that,

In the question:

To find the P(Z > z) = 0.1801

Now, According to the question:

The P(Z > z) = 0.1801

Since, we use the z - table with area to left of z .

We want this equation in left - area form,

P(Z > z) = 0.1801

=> P (Z< z ) = 0.91

From the table of Normal Distribution table

Hence, P(Z > z) = 0.1801  => P (Z< z ) = 0.91 (From z table) .

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Answer:

Slopes of parallel lines are equal

Step-by-step explanation:

On a coordinate plane, quadrilateral ABCD is shown. Point A is at (-2, -2), point B is at (-3, 4), point C is at (2, 2), and point D is at (3, -4).

The slope of the line segment BC is:  

\(\dfrac{4-2}{-3-2} =-\dfrac{2}{5}\)

The slope of the line segment AD is:

\(\dfrac{-4-(-2)}{3-(-2)} =\dfrac{-4+2}{3+2}=-\dfrac{2}{5}\)

The slope of the line segment CD is:

\(\dfrac{2-(-4)}{2-3} =\dfrac{2+4}{2-3}=\dfrac{6}{-1}=-6\)

The slope of the line segment BA is:

\(\dfrac{4-(-2)}{-3-(-2)} =\dfrac{4+2}{-3+2}=\dfrac{6}{-1}=-6\)

Because the slopes of parallel lines are equal. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.

Answer:

c.) on edg.

Step-by-step explanation:

got it right :)

Answer:

y = 0x + 1

When x=0, y = 1

Step-by-step explanation:

Using the multiplication of matrices, we can find that options a, b and c are the undefined matrices.

A matrix is a rectangular array of values that are defined for mathematical operations including addition, subtraction, and multiplication.

The quantity of rows and columns in a matrix—also referred to as the order of the matrix—determines its size. A 6 4 symbol and 6 by 4 reading are used to symbolise and denote the order of a matrix having 6 rows and 4 columns.

Here in the question,

When the matrices, M and P are multiplied, the resulting matrix is an undefined matrix.

Similarly, we can see when Q and M are multiplied, the resulting matrix is an undefined matrix.

Lastly, when the matrices, N and M are multiplied, the resulting matrix is an undefined matrix.

Therefore, option a, b and c are the undefined matrices.

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Answer:

$5.37

...............

Answer:

.38

9/25 is .36 as a decimal

Step-by-step explanation:

Answer:

  a) x = 12

  b) NP = 3.56; NL = 4.44

Step-by-step explanation:

Triangles NPQ and NLM are said to be similar. That means corresponding angles P and L have the same measure. This fact lets you solve for x.

  angle L = angle P

  3x +24 = 60 . . . . a 2-step linear equation

  3x = 36 . . . . . . . step 1: subtract 24

  x = 12 . . . . . . . . step 2: divide by the coefficient of x

__

Corresponding sides are proportional, so you have ...

  NP/NL = NQ/NM

The length of PL is given, so you have an additional equation, ...

  NP +NL = 8

This gives two equations in the two unknown values, NP and NL.

__

Substituting the given values of NQ and NM, the first equation becomes ...

  NP/NL = 3.2/4 = 0.8

Multiplying by NL, we get ...

  NP = 0.8·NL

Substituting this into the equation for the sum gives ...

  0.8·NL +NL = 8

  1.8·NL = 8

  NL = 8/1.8 = 40/9 = 4.4444...(repeating)

  NP = 0.8·NL = 32/9 = 3.5555...(repeating)

Rounded to hundredths, the values are ...

  NP ≈ 3.56, NL ≈ 4.44

Answer:

There are 3 two topping sundaes possible.

Step-by-step explanation:

The order in which the toppings are chosen is not important. For example, chocolate and caramel topping is the same as a caramel and chocolate topping. So we use the combinations formula to solve this question.

Combinations Formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

How many 2 topping sundaes are possible?

2 toppings from a set of 3(chocolate, caramel and strawberry). So

\(C_{3,2} = \frac{3!}{2!(3-2)!} = 3\)

There are 3 two topping sundaes possible.

The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.

This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).

In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.

Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

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Answer:

angle b

Step-by-step explanation:

let's assume the triangle is a right angle triangle . either angle a or c can be equal to 60 degree

Answer:

900 meters long

Step-by-step explanation:

Toby is riding his bicycle at 15 m/s. If it takes him 60 seconds to get to the end of the street. What was the length of the street?

at 15 meters per second for 60 seconds:

= time * speed

60* 15= 900 meters traveled,

so the street is 900 meters long.

230 students applied to at least one of the universities K, A, or B.

To solve this problem, we can use the principle of inclusion-exclusion to find the number of students who applied to at least one of the universities K, A, or B.

Let's denote:

K = students who applied for university K

A = students who applied for university A

B = students who applied for university B

We are given:

K = 120

A = 100

B = 96

K ∩ A = 42 (students who applied for both K and A)

K ∩ B = 24 (students who applied for both K and B)

B ∩ A = 36 (students who applied for both B and A)

Neither = 16 (students who applied for neither university)

To find the total number of students who applied to at least one of the universities, we'll use the inclusion-exclusion principle:

Total = K + A + B - (K ∩ A) - (K ∩ B) - (B ∩ A) + Neither

Total = 120 + 100 + 96 - 42 - 24 - 36 + 16

Total = 230

Therefore, 230 students applied to at least one of the universities K, A, or B.

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Answer:

74.1 minutes is the answer

Answer:

(x + 2)² + (y - 2)² = 3²

Step-by-step explanation:

Equation of a circle is (x - a)² + (y - b)² = r²,

where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.

So, we have (x - -2)² + (y - 2)² = 3²

subtract a minus means we add.

(x + 2)² + (y - 2)² = 3²

Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!

Austin's rate of motion is (1/70)π Radians per second.

To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:

ω = Δθ / Δt

Where:

ω = angular velocity (in radians per second)

Δθ = change in angular displacement (in radians)

Δt = change in time (in seconds)

We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:

s = (3/4) * 2πr

s = (3/2)πr

We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).

So, Δt = 105 seconds

Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:

Δθ = (3/4) * 2π

Δθ = (3/2)π

Therefore, Austin's rate of motion (ω) in radians per second is:

ω = Δθ / Δt

ω = [(3/2)π] / 105

ω = (3/210)π

ω = (1/70)π radians per second

So, Austin's rate of motion is (1/70)π radians per second.

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Answer:

w=3

Step-by-step explanation:

3w=+6+3

3w=9

w=9÷3

w=3

how I get?

3×w

if 3 move to the front it's goes to ÷

so 9÷3