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3 years ago

14

Micheal can eat 21 cookies in 3 minutes. She wants to know how many minutes it would take her to eat 35 cookies if she can keep

up the pace.
15 points <3

1 answer:

AlexFokin [52]3 years ago

6 0

Answer:

It will take her 5 minutes

Step-by-step explanation:

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Calculate the sample standard deviation and sample variance for the following frequency distribution of heart rates for a sample

adelina 88 [10]

Answer:

$\sigma = 12.5$ ---- sample standard deviation

$\sigma^2 = 157.2$ ---- sample variance

Step-by-step explanation:

Solving (a): The sample variance

First, we calculate the midpoint of each class (this is the average of the limits)

So, we have:

$x_1 = \frac{56 + 64}{2} = 60$

$x_2 = \frac{65 + 73}{2} = 69$

And so on

So, the table becomes:

$\begin{array}{cc}{x} & {f} & {60} & {11} & {69} & {15} & {78} & {14} & {87} & {4} & {96} & 11 \ \end{array}$

Calculate the mean

$\bar x = \frac{\sum fx}{\sum f}$

$\bar x = \frac{60*11+69*15+78*14+87*4+96*11}{11+15+14+4+11}$

$\bar x = \frac{4191}{55}$

$\bar x = 76.2$

The variance is:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}$

So, we have:

$\sigma^2 = \frac{(60 - 76.2)^2*11+(69 - 76.2)^2*15+(78 - 76.2)^2 *14+(87 - 76.2)^2*4+(96 - 76.2)^2*11}{11+15+14+4+11-1}$

$\sigma^2 = \frac{8488.8}{54}$

$\sigma^2 = 157.2$

The sample standard deviation is:

$\sigma = \sqrt{\sigma^2$

$\sigma = \sqrt{157.2$

$\sigma = 12.5$

Solving (b): The sample variance

In (a), we calculate the sample variance to be:

$\sigma^2 = 157.2$

6 0

3 years ago

a cell phone and phone case cost 110$ in total. the cell phone costs 100$ more than the phone case. How much was the cell phone?

Flauer [41]

Answer:

210$ i hope this helped!

3 0

3 years ago

Read 2 more answers

A factory has 88 employees. 50% of the employees work part-time. How many of the factory employees work part-time?

inna [77]

Answer: 44

Step-by-step explanation:

88/2 = 44

5 0

3 years ago

Read 2 more answers

Suppose that a small country consists of four states:

Kamila [148]

Answer:

a.) Standard Divisor = 20000

b.) Standard Quota for State A = 66

Standard Quota for State B = 54

Standard Quota for State C = 26

Standard Quota for State D = 4

Step-by-step explanation:

The country consists of four states

A B C D

1,326,000 1,068,000 524,000 82,000

Total population = 1326000 + 1068000 + 524000 + 82000

= 3000000

It is said that there are 150 seats in the legislature that have to be apportioned among the four states based on their respective states.

a.) Find the standard divisor

Standard Divisor = $\frac{Total \hspace{0.1cm} population }{Number \hspace{0.1cm} of \hspace{0.1cm} seats} = \frac{3000000}{150} = 20000$

b.) Each state's standard quota.

Standard Quota for State A = $\frac{1326000}{20000} = 66.3 \approx 66$

Standard Quota for State B = $\frac{1068000}{20000} = 53.4 \approx 54$

Standard Quota for State C = $\frac{524000}{20000} = 26.2 \approx 26$

Standard Quota for State D = $\frac{82000}{20000} = 4.1 \approx 4$

If the quota are rounded to the nearest number and added then we find that the total is 149 and we so we take the quota which has the highest decimal part and round up and then summing all the quotas we get a total of 150 seats.

8 0

4 years ago

If cot(θ)=<br> 5<br> 12<br> and 0°<θ<90°, what is sin(θ)?

Ivahew [28]

Using,
1+cot^2 x = csc^2 x
1+ (5/12)^2 = csc^2 x
1+25/144 = csc^2 x = (144+25)/144 = 169/144
csc x = sqrt (169/144) = 13/12

sin x = 1/ csc x = 1/(13/12) = 12/13 is your answer :)

5 0

4 years ago