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Vilka [71]
2 years ago
12

In 2012, Gallup asked participants if they had exercised more than 30 minutes a day for three days out of the week. Suppose that

random samples of 100 respondents were selected from both Vermont and Hawaii. From the survey, Vermont had 65.3% who said yes and Hawaii had 62.2% who said yes. What is the value of the sample proportion of people from Hawaii who exercised for at least 30 minutes a day 3 days a week?
Mathematics
1 answer:
enot [183]2 years ago
7 0

Answer:

0.622

Step-by-step explanation:

According to the question,

62.2% of the respondents from Hawaii said that they had exercised more than 30 minutes a day for 3 days out of the week.

So, value of the sample proportion of people from Hawaii who exercised for at least 30 minutes a day for 3 days in a week is given by,

\frac {62.2}{100}

= 0.622  

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Select the correct interpretation of the probability of getting an 11 when a pair of dice is rolled. Interpret an event as signi
klio [65]

Answer:

c. Not significant at .055

Step-by-step explanation:

When a pair of dice is rolled, we have 6²=36 possible outcomes. Only 2 of these outcomes have a total score of 11:

  1. When the first dice is 5 and the second is 6.
  2. When the first dice is 6 and the second is 5.

Then, we can calculate the probability of getting 11 as the quotient between the successs outcomes and the total outcomes.

Then, the probability of getting 11 is:

P=\dfrac{X}{N}=\dfrac{2}{36}=0.055

This probability is not equal or less than 0.05, so it is not significant at 0.055.

3 0
2 years ago
steve gaimes is paid overtime for all time worked past 40 hours in a week. his regular time pay rate is $12 an hour and his over
Elena-2011 [213]

Answer:

40 hours

Step-by-step explanation:

47.3-40= 7.3

He worked 7.3 hours overtime meaning he worked 40 regular hours.

6 0
2 years ago
Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)
nevsk [136]

Answer:

Option 1:(x-4)^2+y^2=100

Step-by-step explanation:

Given center = (h,k) = (4,0)

The point (-2,8) lies on circle which means the distance between the point and center will be equal to the radius.

So,

The distance formula will be used:

d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\=\sqrt{(4+2)^{2}+(0-8)^{2}}\\=\sqrt{(6)^{2}+(-8)^{2}}\\=\sqrt{36+64}\\ =\sqrt{100}\\ =10\ units

Hence radius is 10.

The standard form of equation of circle is:

(x-h)^2+(y-k)^2 = r^2

Putting the values

(x-4)^2+(y-0)^2=10^2

(x-4)^2+y^2=100

Hence option 1 is correct ..

7 0
2 years ago
Read 2 more answers
How much money, as a one-time deposit, PV, would you need to deposit into an account that earns 1.5% compounded monthly to earn
Karolina [17]

Answer:

The amount needed as a one-time deposit to earn $7,500 in 3 years is <em>$4388.17</em>

Step-by-step explanation:

<u>Basic Finance Formulas </u>

One of the most-used formulas to compute present and future values is

FV=PV(1+r)^{n}

Where FV is the future value, PV is the present value, r is the interest rate and n is the number of periods. It's vital to keep in mind that r and n must be referred to the same compounded time, e.g. r is compounded monthly and n is expressed in months

The question requires to compute the PV needed as a one-time deposit to earn a future value of $7,500 in 3 years at a 1.5% rate compounded monthly.

FV=7,500

r=1.5%=0.015

n=3*12=36 months

We converted n to months because r is compounded monthly . The formula

FV=PV(1+r)^{n}

must be managed to make PV isolated

PV=FV(1+r)^{-n}

PV=7,500(1+0.015)^{-36}

PV=\$4388.17

Answer: The amount needed as a one-time deposit to earn $7,500 in 3 years is $4388.17

3 0
2 years ago
3.5 hours:$10 1/2 hour:$1.25. What is the unit rate in dollars per hour for each company?
Rasek [7]

One company wants $10 per 3.5 hours, so they want 10 / 3.5 ≈ 2,86 dollars per hour (after rounding to the closest hundreths).

Second company wants $1.25 per half an hour, so they want 2 * 1,25 = 2,50 dollars per hour.

The unit rate is 2,86:2,50

7 0
2 years ago
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