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givi [52]
1 year ago
7

Jenny is eight years older then twice her cousin sues age. The sum of their ages is less then 32. What is the greatest age that

sue could be
Mathematics
1 answer:
maw [93]1 year ago
3 0

Answer:

The age of Sue could be 7 years

Step-by-step explanation:

Jenny is 8 years older than twice her cousin Sue's age.

The first equation will be :

J = 8 + 2S ---------(1)

The sum of their ages is less than 32.

The second equation will be :

J + S < 32  ----------------(2)

Now rearrange both equations :

8 + 2S + S < 32

3S < 32 - 8

3S < 24

S < 24/3

S < 8

S = 7

The age of Sue could be 7 years.

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A researcher wants to know how professional athletes in her city feel about safety measures. She obtains a list of 952 professio
AVprozaik [17]

Answer:

Step-by-step explanation:

For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled .

In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is .

<h2>p=0.76</h2>
3 0
2 years ago
The distribution of the amount of a customer’s purchase at a convenience store is approximately normal, with mean $15.50 and sta
viktelen [127]

Answer:

0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

Step-by-step explanation:

Mean = \mu = 15.50

Standard deviation = \sigma = 1.72

We are supposed to find the proportion of customer purchase amounts between $14.00 and $16.00

P(14<x<16)

Formula : z=\frac{x-\mu}{\sigma}

At x = 14

z=\frac{14-15.50}{1.72}

z=-0.8720

Refer the  z table for p value

P(x<14)=0.1922

At x = 16

z=\frac{16-15.50}{1.72}

z=0.290

Refer the  z table for p value

P(x<16)=0.6141

P(14<x<16)=P(x<16)-P(x<14)=0.6141-0.1922=0.42

So, Option C is true

Hence 0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

4 0
1 year ago
Jackson has ten dollar bills and one dollar bills in his pocket. The number of ten dollar bills is five more than six times the
Katyanochek1 [597]

Answer:

Let t be the number of ten dollar bills.

o×6+5=t

If you need it without t, then it's:

o×6+5

Step-by-step explanation:

Let t be the number of ten dollar bills.

o×6+5=t

We get this because the question said that there were more ten-dollar bills than 6 times the number of one-dollar bills.

5 0
1 year ago
Which of the following is a zero of the function f(x) = x3 - x2 - 21x + 45.
marin [14]
The zeros are 3 and -5. Hope this helps!
5 0
1 year ago
You put $1200 in an account that earns 3% simple interest. Y= a (1 + r)t Find the total amount in the account after four years.
olchik [2.2K]

Hello!

To find how much money total will be in the account after four years, you need to use the function, y = a(1 + r)^{t}, as seen above. In this function, a is the starting value, r is the interest rate, and t is the amount of time (in years).

Before substituting values into the function, we need to convert 3% into a decimal. Remember that all percentages are out of 100, so we divide 3 by 100 and remove the percentage sign, or move the decimal two places to the left.

3/100 = 0.03 | 0.03 is the interest rate.

With all the necessary values, we can find the total amount in the account. In this case, a = 1200, r = 0.03, and t = 4.

y = 1200(1 + 0.03)^{4}

y = 1200(1.03)^{4}

y = 1200(1.12550881)

y = 1350.610572, which can be rounded to 1350.61 dollars.

Therefore, after 4 years, the total amount in the account will be about 1350.61 dollars.

6 0
1 year ago
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