In 2011, a U.S. Census report determined that 68% of college students are working students. A researcher thinks this percentage has changed and surveys 144 college students. The researcher reports that 93 of the 144 are working students. Is there evidence to support the researcher's claim at the 1% significance level

Answer:

32) a) x = 3/19 ounces

33) d) 0,2 meter per minute

Step-by-step explanation:

32)

7 1/2 = 15/2

47 1/2 = 95/2

95/2 dough             15/2 sugar

  1    dough                     x = (15/2*1) / 95/2

                                       x = (15/2)(95/2)

                                       x = 15/95

                                       x = 3/19 ounces

33)

Distance      16  |    18  |  20  |   22

Time            80  |  90  | 100  |  110

Time 90 - 80 = 10

Distance 18 - 16 = 2

Each 10 minutes go 10 meters

2 / 10 = 0,2 meter per minute

Answer:

Constant of proportionality

K= 16.5 gallons per minute

Step-by-step explanation:

Time t (minutes) Water g (gallons)

For t= 1, g= 16.50,

for t= 1.5 ,g= 24.75

For t= 2,g= 33

Let the function be

Gallons g= k(time t)

Where k is the constant of proportionality

16.5= k(1)....for when t= 1

24.75= k(1.5) ..for when t= 1.5

Solving gives

8.25=k(0.5)

8.25/0.5= k.

16.5 = k

K= 16.5 gallons per minute

Answer:

The answer is

Step-by-step explanation:

To find the percentage increase we use the formula

From the question

The original value = 12

To find the change we subtract the smaller value from the larger one

That's

Change = 20 - 12 = 8

So the percentage increase is

We have the final answer as

[tex]67\%[/tex] to the nearest whole number

Hope this helps you

Answer:

multiply 7 by 42

= 294

42 x 7 can be done as mental math, but that is challenging for some people.

Answer: 294

Break up 42 like so: 42 = 40 + 2

Then we can say,

7*(42) = 7*(40+2) = 7*40 + 7*2 = 280 + 14 = 294

The mental math part is knowing that 7*4 = 28, then you add on a zero to get 7*40 = 280. This is added to 7*2 = 14 to get the final answer above.

Answer:

B. 1.64b

Step-by-step explanation:

0.33b+1b+0.31b

=1.64b

Answer: h = 137.4 metres

Step-by-step explanation:

Given that the length of the shadow of a pole on level ground increase 90m, that is, (x + 90)m will be the total length of the shadow. Also we are given that the angle of elevation of the sum changes from 58-38.

To calculate the height, we will employ trigonometry ratio. SohCahToa which are: tan 58 and tan 38.

Please find the attached files for the solution

Answer:

8 (read below)

Step-by-step explanation:

There is 8 if you re counting the bottom, light turqoise one. If not, then 7.

Answer:

17 or 18

Step-by-step explanation:

Answer:

I hope this will be the answer... ✌️

[tex]\large{\pmb{\underline{\underline{\sf{Refraction:-}}}}}[/tex]

Refraction is the bending of a light or sound wave, or the way the light bends when entering the eye to form an image on the retina.

[tex]\large{\pmb{\underline{\underline{\sf{Examples~ Of~ Refraction:-}}}}}[/tex]

[tex]{\huge{\underline{\small{\mathbb{\pink{HOPE \ THIS \ HELPED \ UH:)}}}}}}[/tex]

Cheers !! :3

Answer:

253/1000, 23.5%

Step-by-step explanation:

Answer:

C. 43

Step-by-step explanation:

As per above:

Correct answer choice is C. 43

Answer:

C.) 43

Step-by-step explanation:

I got it right on founders edtell

Answer:

The angle of slice is approximately 16°.

Step-by-step explanation:

The slice of pizza represent the sector of a circle.

The area of a sector is:

[tex]A=\frac{1}{2}r^{2}\phi[/tex]

Here,

r = radius of the circle

Φ = angle in radians

Given:

A = 20 inches²

r = 12 inch

Compute the angle of the slice as follows:

[tex]A=\frac{1}{2}r^{2}\phi[/tex]

[tex]\phi=\frac{2\times A}{r^{2}}[/tex]

  [tex]=\frac{2\times 20}{12\times 12}\\\\=0.2778[/tex]

The angle us 0.2778 radians.

Convert the angle into degrees as follows:

[tex]\text{Angle}=0.2778\times\frac{180}{\pi}=15.9168\approx 16^{o}[/tex]

Thus, the angle of slice is approximately 16°.

Answer:

1) When this does happen, how many posters will each Avenger have completed?

24 posters each.

2) If x denotes the number of days and y denotes the number of posters, what are the equations needed to solve this problem?

y = 12 + 6x.......... Equation 1

y = 12x .......... Equation 2

Step-by-step explanation:

1) When this does happen, how many posters will each Avenger have completed?

We are told in the question:

Number of days = x

Number of posters = y

Ms. Ironperson has completed 12 posters and will complete 6 more per day.

y = 12 + 6x.......... Equation 1

Mr. Thoro has not started yet but can make 12 per day.

y = 12x................Equation 2

Hence, the equations needed to solve this problem:

y = 12 + 6x.......... Equation 1

y = 12x .......... Equation 2

We substitute 12x for y in equation 1

y = 12 + 6x.......... Equation 1

12x = 12 + 6x

Collect like terms

12x - 6x = 12

6x = 12

x = 12/6

x = 2

Hence, since x = the number of days,

The number of days = 2 days

Substitute 2 for x in Equation 2

y = 12x .......... Equation 2

y = 12 × 2

y = 24 posters.

Since y = number of posters,

number of posters = 24 posters.

We were told in the question that, when Mr Thoro catches up with Ms Ironperson, that would both have completed the same number of posters.

Hence, both Avengers would have completed 12 posters each.

Answer:

The slope of the perpendicular line is -4/3

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

m * 3/4 = -1

Multiply by 4/3

m * 3/4 * 4/3 = -1 * 4/3

m = -4/3

The slope of the perpendicular line is -4/3

Answer:

[tex] \frac{7}{15} [/tex]

Step-by-step explanation:

[tex] \frac{7}{25} \div \frac{3}{5} = \frac{7}{25} \times \frac{5}{3} = \frac{35}{75} = \frac{7}{15} [/tex]

Hope this helps ;) ❤❤❤

The calculated division of the numbers 7/25 divided by 3/5 is 7/15

From the question, we have the following parameters that can be used in our computation:

7/25 divided by 3/5

When represented as an equation, we have

7/25 divided by 3/5 = 7/25 ÷ 3/5

Represent as a product expression

So, we have

7/25 divided by 3/5 = 7/25 * 5/3

So, we have the following result

7/25 divided by 3/5 = 7/15

Using the above as a guide, we have the following:

the result is 7/15

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Answer:

32 blocks

Step-by-step explanation:

distance between home (0,0) and mall (0,7) = 7

distance between mall (0,7) and movies (9,7) = 9

distance between movies (9,7) and store (9,0) = 7

distance between store (9,0) and home (0,0) = 9

7 + 9 + 7 + 9 = 32 blocks

Answer:

the 90% confidence interval is ( 48.684  , 51.316  )

Step-by-step explanation:

Given that :

the sample size = 36

Sample Mean = 50

standard deviation = 4.80

The objective is to calculate a 90% confidence interval.

At 90% confidence interval ;

the level of significance = 1 - 0.9 = 0.1

The critical value for [tex]z_{\alpha/2} = z_{0.1/2}[/tex]

[tex]= z_{0.05}[/tex] = 1.645

The standard error S.E = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

=[tex]\dfrac{4.8}{\sqrt{36}}[/tex]

[tex]=\dfrac{4.8}{6}[/tex]

= 0.8

The Confidence interval level can be computed as:

[tex]\bar x \ \pm z \times \ \dfrac{ \sigma }{\sqrt{n}}[/tex]

For the lower limit :

[tex]\bar x \ - z \times \ \dfrac{ \sigma }{\sqrt{n}}[/tex]

[tex]=50 \ - 1.645 \times \ \dfrac{ 4.8 }{\sqrt{36}}[/tex]

[tex]=50 \ - 1.645 \times \ 0.8 }}[/tex]

=50 - 1.316

= 48.684

For the upper limit :

[tex]\bar x \ - z \times \ \dfrac{ \sigma }{\sqrt{n}}[/tex]

[tex]=50 \ + 1.645 \times \ \dfrac{ 4.8 }{\sqrt{36}}[/tex]

[tex]=50 \ + 1.645 \times \ 0.8 }}[/tex]

=50 + 1.316

= 51.316

Thus, the 90% confidence interval is ( 48.684  , 51.316  )

Answer:

z = 5

Step-by-step explanation:

1.1z+5.5=2.2z

Subtract 1.1z from each side

1.1z-1.1z+5.5=2.2z-1.1z

5.5 = 1.1z

Divide each side by 1.1

5.5/1.1 = 1.1z/1.1

5 = z

Answer:

The point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.

Step-by-step explanation:

The distance between two points (x₁, y₁) and (x₂, y₂) on the x-y plane can be calculated with:

√((x₁ - x₂)² + (y₁ - y₂)²)

So in this case, with the points (-3, 2) and (4, 0), the distance is:

√((-3 - 4)² + (2 - 0)²)

√(49 + 4)

√(53) ≈ 7.28

Since 7.28 > 5, the point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.

Answer:

a) 4/25, or 0.16, or 16%

b) 1/5, or 0.2, or 20%

c) The first option - the theoretical and experimental values should become closer the more trials that are performed.

Step-by-step explanation:

a) 4 of Tammy's 25 spins landed on black, so the experimental probability is 4/25, or 0.16, or 16%.

b) The spinner is split into 5 equal sections. Assuming it is fair, the chance of landing in any given section for a single spin is 1/5, or 0.2, or 20%.

c) The theoretical and experimental values should get closers the more trials you do.

For example, consider 1 coin flip vs 100. The theoretical probability of landing on a given side of a coin is 1/2, or 0.5, or 50%. With a single flip, your experimental probability will either be 0% or 100%, both off of the theoretical probability by 50%. After 100 flips however, the experimental and theoretical probabilities will be much closer to each other.

Answer:

136 minutes

Step-by-step explanation:

Given :

2 miles ----> takes 17 min

1 mile -----> takes 17/2 min

hence the unit rate is (17/2) min per mile

Thus, 16 miles will take

= (17/2) miles per min x 16 miles

= (17/2) x 16

= 136 minutes

Answer:

136 min

Step-by-step explanation:

lets make it simple.

2 miles / 17 min = 16 miles / x

just cross multiply

2 x = 17 (16)

2 x = 272

x = 272 / 2

x = 136 min

Answer:

Following are the answer to this question:

Step-by-step explanation:

Matrix:

[tex]A=\left[\begin{array}{cc}0.3&0.7\\1&0\end{array}\right][/tex]

[tex]A^2=\left[\begin{array}{cc}0.79&0.21\\0.3&0.7\end{array}\right][/tex]

In the above-given matrix, all entries of the matrix A²  will be positive and the matrix A will be the transition of the matrix A, that regulates the Markov​ chain.

Answer:

x=1

Step-by-step explanation:

because 3 over 2 plus 1 over 2 is 4 over 2 and 2 fits in 4 2 times so its 2 x but since thats solving for 2 half of that is 1, thus its x=1

The required simplified value of x is x = 1. Option 1 is correct.

Given,
Three halves plus one-half times x equals two x.
To simplify the above expression.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
3/2 + 1/2 x = 2x
3/2 = 2x - 1/2 x
3x / 2 = 3 / 2
x = 1

Thus, the required simplified value of x is x = 1. Option 1 is correct.

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Answer:

  -1

Step-by-step explanation:

Twice a number: 2n.

15 less than the number: n-15.

The sum of those: (2n) +(n-15) = 3n-15.

__

The difference between -19 and the number: -19-n

__

These values are the same, so we have ...

  3n -15 = -19 -n

  4n = -4 . . . . . . . . add n+15 to both sides

  n = -1 . . . . . . . . .  divide by -4

The number is -1.

Answer:

The sample size is  [tex]n =278[/tex]

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 100[/tex]

    The standard deviation is  [tex]\sigma = 850[/tex]

Given that the confidence level is  95% then the level of significance is mathematically represented as

       [tex]\alpha = (100-95)\%[/tex]

       [tex]\alpha =0.05[/tex]

Next we obtain the critical value  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table  

  The value  is  [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

Generally the sample size is mathematically represented as

       [tex]n = \frac{(Z_{\frac{\alpha }{2}})^2}{E^2} * \sigma^2[/tex]

=>   [tex]n = \frac{(1.96)^2}{100^2} * 850^2[/tex]

=>    [tex]n =278[/tex]

Answer:

13 units

Step-by-step explanation:

Use the distance formula, d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex], where (x2, y2) and (x1, y1) are two different points on the line.

Plug in the values:

d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

d = [tex]\sqrt{(9 - 4)^2 + (5 + 7)^2}[/tex]

d = [tex]\sqrt{5^2 + 12^2}[/tex]

d = [tex]\sqrt{25 + 144}[/tex]

d = [tex]\sqrt{169}[/tex]

d = 13

Answer:

15

Step-by-step explanation:

12 X 15 is 180, which is closest to 187, we have to add a 5 in the space next to 71 and 180 under 187

Answer:

5 cm

Step-by-step explanation:

13² - 12² = x²

169 - 144 = x²

25 = x²

5 = x

Answer:

35

Step-by-step explanation:

We can call the amount of questions they answered as 4x, 6x and 3x respectively. Since Chandran answered 30 questions, we know that 6x = 30 so x = 5. The total number of questions Kadir and Ping Wei answered was 4x + 3x = 7x and since we know that x = 5, the answer is 7 * 5 = 35 questions.

Answer:

point?

Step-by-step explanation:

is this a question or a statement

Answer:

Point

Step-by-step explanation:

once two line intersect the area where they intersected becomes a point

Answer:

x = -2

Step-by-step explanation:

The segments described in the question are equidistant (meaning they are the same length). Therefore, using algebraic techniques, we can set these two equal to each other and solve for x.

4x - 8 = 6x - 4 Combine like terms by subtracting 6x from both sides.

-2x - 8 = -4 Combine like terms by adding 8 to both sides.

-2x = 4 Divide by -2 on both sides of the equation.

x = -2