Kari worked twice as many hours as Chris. She also worked ten less than three times as many hours as Mark. Chris and Mark worked the same number of hours.

Answer:

A sample of 1015 should be taken.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.12.

This means that [tex]\pi = 0.12[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex]. I used 95% because the confidence level was not given.

How large a sample should be taken to estimate the actual proportion of smokers with a margin of error of 0.02?

This is n for which M = 0.02. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{\frac{0.12*0.88}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96\sqrt{0.12*0.88}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.12*0.88}}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.12*0.88}}{0.02})^2[/tex]

[tex]n = 1014.2[/tex]

Rounding up:

A sample of 1015 should be taken.

Answer:

at 5 weeks

Step-by-step explanation:

y = 3x + 40   (David)

y = 6x + 25  (Perla)

since both equal 'y' we can set the expressions equal and solve for 'x'

3x + 40 = 6x + 25

subtract 3x from each side to get:

40 = 3x + 25

subtract 25 from each side to get:

15 = 3x

15/3 = x

5 = x

Answer:

8

Step-by-step explanation:

10÷2=5

16÷2=8

so then it means it is 8

Answer:

-1/12, 1/2, -1/16, 1/16, -1/20, 1/20, -1/2, 1/2, -1/10, 1/10

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

10 Fractions

-5/6 = -400/480

5/8 = 300/480

201/480

202/480

203/480

204/480

205/480

206/480

207/480

208/480

209/480

210/480

10 Decimals

5/6 = -0.8333333333

5/8= 0.625

0.226

0.227

0.228

0.229

0.23

0.231

0.232

0.233

0.234

0.235

Answer:

The answer is 3

Answer:

x = 3

Step-by-step explanation:

-x = 3 - 4x +6

make the -4x positive and then add it to the -x

-x = 3 +6

+4x

3x = 3 +6

then add the 3 +6 together

3x = 3 + 6

         9

3x = 9

we want to get X alone so we are going to divide 3 by both sides

3x/3 = 9/3

1x = 3

and if you did not know we usually don't show the "1" if it is in front of a exponent (you just have to remember that there is a one there)

now you have your answer

x = 3

Answer:

C (Sorry if its incorrect)

Step-by-step explanation:

I believe its C

Becuase a converse is switching the hypothis and conclusion around

Answer:

4.5 or 9/2 using bodmas ruke

Answer:

180 miles is answer

cuz it takes 80 miled to travel in 12 hours

Answer:

The speed of the current is 10 mph

Step-by-step explanation:

x= speed of the current

[tex]\frac{80}{20-x} + \frac{120}{20+x} = 12[/tex]

80 (20+x) + 120 (20-x) = 12 (20-x) (20+x)

x=10

Answer:

y=7x

Step-by-step explanation:

Take two points from the line and plug them into y2-y1/x2-x1. In this case, I chose (6,42) and (7,49). This will make the equation 49-42/7-6. This is equal to 7/1 or 7. Therefore, the equation is equal to y=7x.

If this helps please mark as brainliest

Step-by-step explanation:

6x7=42

7x7=49

8x7=56

9x7=63

Answer:

t = (log200)/4 hours

Step-by-step explanation:

10,000 = 50(10)^(4t)

Divide both sides by 50

200 = 10^(4t)

Take the log of both sides

log200 = 4t

Divide both sides by 4

(log200)/4 = t

t = (log200)/4    (exact answer)

t ≈ 0.575257498915995 (numeric approximation)

Answer: D. 10.200

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

B. 40°

Step-by-step explanation:

I calculated it logically

Answer:

Yeah if you want too

Step-by-step explanation:

It depends if its school or personal

I'm using it on my own laptop

Step-by-step explanation:

Answer:

40 percent

Step-by-step explanation:

Start by taking the difference of the two values:

35-25 = 10.

the $10 is how much the value increased by.

To get the percent that the $25 increased by, take 10/25 to get .4

This .4 can then be turned into a percentage when you multiply it by 100. = 40 percent.

You can check your answer by finding 40 percent of 25, which is 10.

Answer:

a) There is not sufficient evidence to support the claim that the mean attendance is greater than 642.

Step-by-step explanation:

since in the question it is mentioned that the average attendance at games should be more 642 and according to this he moving the team with a larger stadium. Also the hypothesis conducted and the conclusion would be failure to deny the null hypothesis

So here the conclusion that should be made in non-technical term is that there should be no enough proof in order to support the claim that the mean attendence is more than $642

Answer:

weak cuz theres no flow its just scattered everywhere

Step-by-step explanation:

Answer:

(Sorry im late) The answer is weak

Step-by-step explanation:

I think i remember taking the test:)

Answer:

According to the histogram, the data points from 15-29 would be 12.

Step-by-step explanation:

No explanation needed.

Answer:

12

Step-by-step explanation:

Add the number of data points that are greater or equal to 15 (4+2+6) = 12.

Answer:

cubic

Step-by-step explanation:

y = x³  is a cubic shape  try graphing it

Answer:

40 Meters

Step-by-step explanation:

Answer:

6: x = 3 and y = 5

7: x = 8 and y = 7

Step-by-step explanation:

In parallelograms opposite sides are congruent

For #6

x + 5 = 2x + 2

step 1 subtract x from each side

2x - x = x

x - x cancels out

now we have 5 = x + 2

step 2 subtract 2 from each side

5 - 2 = 3

2 - 2 cancels out

we're left with x = 3

y + 10 = 2y + 5

step 1 subtract 5 from each side

10 - 5 = 5

5 - 5 cancels out

now we have y + 5 = 2y

step 2 subtract y from each side

y - y cancels out

2y - y = y

we're left with y = 5

For #7

3x - 2 = 2x + 6

step 1 add 2 to each side

-2 + 2 cancels out

6 + 2 = 8

now we have 3x = 2x + 8

step 2 subtract 2x from each side

3x - 2x = x

2x - 2x cancels out

we're left with x = 8

6y - 8 = 4y + 6

step 1 add 8 to each side

-8 + 8 cancels out

6 + 8 = 14

now we have 6y = 4y + 14

step 2 subtract 4y from each side

6y - 4y = 2y

4y - 4y cancels out

now we have 14 = 2y

step 3 divide each side by 2

2y / 2 = y

14 / 2 = 7

we're left with y = 7

Answer:

given

y=-8x+3

Interchanging the role of x and y

x=-8y+3

x-3=-8y

y=(3-x)/8

Inverse is y=(3-x)/8 or y=-(x-3)/8

Answer:

Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P

Step-by-step explanation:

The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)

The radius of [tex]\bigodot[/tex]O, r₁ = 5

The given center of the circle [tex]\bigodot[/tex]P = (12, -1)

The radius of [tex]\bigodot[/tex]P, r₂ = 12

The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;

a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)

b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4

Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4

We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P

∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.

Answer:

0.8 = is the proberbilty of getting an even number and a heads when you flip a coin

0.25 = is the proberbility of getting a 2 or 4 out of the bag including 1 - 8

0.5 = the probability of drawing a yellow and green marble

1 =  the probability of drawing an even number or a number greater than 4

Im not really sure about the last one tho

Step-by-step explanation: