3. Calculate the value of x in the figure to the right: (2 Points)

Solution :

95% confidence interval for the difference between the means of ACT scores between two schools, is given by :

[tex]$[(\overline X_1 - \overline X_2)-ME, (\overline X_1 - \overline X_2)+ME]$[/tex]

[tex]$\overline X_1 = 25.90 , \ \ \ \overline X_2 = 27.70$[/tex]

[tex]$S_1=3.49, \ \ \ S_2 = 2.47$[/tex]

[tex]$n_1=39, \ \ n_2=37$[/tex]

M.E. , Margin of error,

[tex]$=t_{n_1+n_2-2,0.025} \times \left( s \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$[/tex]

[tex]$s^2 = \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}$[/tex]

  [tex]$=\frac{38(3.49)^2+36(2.47)^2}{39+37-2}$[/tex]

 = 9.222

s = 3.03

[tex]$t_{74,0.05} = 1.99$[/tex]

[tex]$M.E. = 1.99 \times 3.03 \times \sqrt{\frac{1}{39}+\frac{1}{37}}$[/tex]

        = 1.4

Therefore, 95% CI = [(25.90-27.70) - 1.4 , (25.90-27.70) + 1.4]

                              = [-3.2, -0.4]

Therefore, the lower bound is -3.2

Answer:

40

Step-by-step explanation:

Angle 1 and 2 are alternate angles

Then they are equal

2x+20=3x+10

Solve for x

X=10

Then 2 (10)+20 =40

Answer:

so it is 20 c because like why not

Answer:

test statistic = 12.115

Step-by-step explanation:

Given data :

std = 2.1 years

n = 10

( std )^2 = 4.41

determine the test statistic

apply a two-tailed test ( chi squared test for one population variance )

test statistic

λ^2 = [tex]\frac{(n-1)s^2}{3.2761}[/tex]   ( Referring to Exhibit 11-1 )

      = ( 10 - 1 )*(2.1)^2 / 3.2761

      = 12.115

The ordered pairs in each set are:

A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}

R = {(-4, 4), (4, 4), (7, 7), (9, 9)}

S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}

We have,

A ✕ B:

The concept of Cartesian product was used to generate all possible ordered pairs by pairing each element from set A with each element from set B.

R:

The concept of the absolute value was used to determine the condition for an ordered pair (x, y) to be in relation R, which is that the absolute value of x is equal to the absolute value of y.

S:

The concept of even numbers was used to determine the condition for an ordered pair (x, y) to be in relation S, which is that the difference between x and y is an even number.

R ∪ S:

The concept of a union was used to combine the ordered pairs that are in either relation R or relation S.

R ∩ S:

The concept of intersection was used to find the ordered pairs that are common to both relation R and relation S.

Thus,

The ordered pairs in each set are:

A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}

R = {(-4, 4), (4, 4), (7, 7), (9, 9)}

S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}

Learn more about sets here:

https://brainly.com/question/8053622

#SPJ4

Answer:

0.47

Step-by-step explanation:

f(x) = (x - 2)^(1/3)

average rate of change from x = -2 to x = 4 is [f(4) - f(-2)]/[4 - (-2)]

f(-2) = (-4)^(1/3) = -1.587401

f(4) = 2^(1/3) = 1.25992

[f(4) - f(-2)]/[4 - (-2)] = [1.25992 - (-1.587401)]/[4 - (-2)] = 0.47

Answer:

Left skewed

Step-by-step explanation:

Looking at the box and whisker plot attached showing the wait times and the number of times they occur, we can see that as we approach the left, the number of times the wait time occurs increases. The box plot also shows like as if the box was pushed to the right as the center line is closer to the right than left.

Thus, we can say it's left skewed.

Answer:

60

Step-by-step explanation

20*3 becasuse it equlatrial

Answer:

What are the answer choices?

Answer:

Is that all to the problem?

Step-by-step explanation:

Answer:

Is there supposed to be more information?

Step-by-step explanation:

Answer:

x ≈ 5

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]log_{10}[/tex] x ≈ 0.701 , then

x = [tex]10^{0.701}[/tex] ≈ 5

Answer:

$8518.40

Step-by-step explanation:

FV = PV(1+r)^n

FV = future value

PV = present value

r = rate

n = # of years

Value in 2 yrs = 11,000 x (1 - 0.12)^2 = 8518.4

there are four lateral faces

Answer:

1

2

4

Step-by-step explanation:

Answer:

13.157894736842% or 13.2% or 13%

Step-by-step explanation:

me with math:  (┬┬﹏┬┬)

Answer:

[tex]Z = 2[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 21 and a standard deviation of 5.

This means that [tex]\mu = 21, \sigma = 5[/tex]

Find the Z score for a student that gets a 31

This is Z when X = 31. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{31 - 21}{5}[/tex]

[tex]Z = 2[/tex]

Answer:18.2

Step-by-step explanation: you add them up and and divide them

Answer:

6400/8 = 800gm

because 7000-600= 6400

and 6400/8 is our answer = 800grams

Step-by-step explanation:

1)  First we can convert kg into grams

2)   Then we deduct 600grams from the mass to show the weight of the mass without the weight of the bowl = - 600grams

1)      7kg = 7000gm  

2)     7000-600 = 6400

6400/8 = 800 grams

Answer:

Option B (800))

Step-by-step explanation:

We know that the mass of the empty container is 600 gr

And when they put 8 cans of equal mass then the final weight of the container is 7 kilograms or 7000 grams

If we call x the weight of the cans then this situation can be represented.

Now we solve the equation for the variable x.

Answer:

[tex]V=6x^3+3x^2[/tex]

Step-by-step explanation:

The given figure shows a cuboid whose length is (2x+1) breadth is x and height is 3x.

We need to find the volume of the three dimensional figure.

The volume of a cuboid is given by :

V = lbh

Substitute all the values,

[tex]V=(2x+1)\times x\times 3x\\\\V=(2x+1)\times 3x^2\\\\= 3x^2(2x)+3x^2\\\\V=6x^3+3x^2[/tex]

So, the volume of the figure is equal to [tex]6x^3+3x^2[/tex].

Hello!

I had this problem in a test, and there is an image of a right triangle in the test

We have been given an image of a right triangle and are asked to find the perimeter of our given triangle.

The answer is 10.3 units, Option A

Answer: 12

Step-by-step explanation:

You can find the area of a rectangle that forms around it, and then subtract the little extra triangles. You can form a 5 by 5 square around the points. There are 4 extra little triangles. Two of them have a base and height of 2 and 2. Two of them have a base and height of 3 and 3. So you get the total area of those 4 triangles to be: 2+2+4.5+4.5=13. So 25-13=12.

Answer:

b

Step-by-step explanation:

Answer:

1. C

3. D

5. B

Don't know the others sorry!

Step-by-step explanation:

Answer:

4. [tex]g(x)=-x^{2}-10x-15[/tex]

6.[tex](2, -11)[/tex]

Answer:

i rath  r buy...

the twin-pack

sunscreen

Step-by-step explanation:

Coefficient of 'x'= 5a

Coefficient of 'x square'= -17

Constant term = 14a

9514 1404 393

Answer:

  A)  15

Step-by-step explanation:

The angle where the tangent meets the radius is 90°, so the Pythagorean theorem applies to this right triangle.

  ?² +8² = 17²

  ?² = 289 -64 = 225

  ? = √225 = 15

The unknown side length is 15.

Answer:

lenght indicated appear to be tangent

Answer:

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

2/3a=1/3+1/6

2/3a=3/6

a=1/2x3/2

a=3/4

Answer:

Step-by-step explanation:

Answer: 32%

Step-by-step explanation:

The percentage increase will be gotten by using the formula:

= Increase in score / Former score × 100

= (33 - 25) / 25 × 100

= 8/25 × 100

= 8 × 4

= 32%

The percentage increase is 32%.

Answer:

2.67 hours

Step-by-step explanation:

Diana: 15 cookies per hour

Jamie: 7.5 cookies per hour

15 + 7.5 = 22.5

22.5 cookies per hour

[tex]\frac{60}{22.5} =\frac{y}{1}[/tex]

22.5 · y = 60 · 1

22.5y = 60

22.5y ÷ 22.5 = 60 ÷ 22.5

[tex]y=2\frac{2}{3}[/tex]

[tex]2\frac{2}{3}[/tex]  rounded to the nearest hundredth is 2.67