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3 years ago

6

A shark is swimming 60 feet below the surface of the ocean. There is a fish that is 25 feet deeper in the water. Use the express

ion (-60) + (-25) to describe the fish's location relative to the surface of the ocean

1 answer:

nordsb [41]3 years ago

6 0

The fish’s location relative to the surface of the ocean is -85

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On a given day, 36 of the 445 students in a school were absent. What was the appproximate absentee rate that day?

Nata [24]

Answer: The approximate absentee rate that day would be 8.09%.

Step-by-step explanation:

Since we have given that

Number of students who were absent = 36

Total number of students = 445

We need to find the approximate absentee rate that day :

Rate of absentee of that day would be

$\dfrac{\text{Number of absentee}}{\text{Total number of students}}\times 100\\\\=\dfrac{36}{445}\times 100\\\\=8.09\%$

Hence, the approximate absentee rate that day would be 8.09%.

5 0

3 years ago

Find the slope of the line through the points (1,−8) and (−9,−10). Provide your answer as a fraction simplified in lowest terms.

Vlad [161]

Answer:

1/5

Step-by-step explanation:

-8-(-10) 2 1

---------- = ------ = --------

1-(-9) 10 5

4 0

3 years ago

Read 2 more answers

Suppose that the population of the scores of all high school seniors who took the SAT Math (SAT-M) test this year follows a Norm

Vlad1618 [11]

Answer:

Confidence = $1-\alpha=1-0.01=0.99$

And then the confidence level would be given by 99%

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

The distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar x =512$ represent the sample mean

$\sigma=100$ represent the population standard deviation

n= 100 sample size selected.

The confidence interval is given by this formula:

$\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$ (1)

The marginof error for this case is given by Me=25.76. And we know that the formula for the margin of error is given by:

$Me=z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

$25.76=z_{\alpha/2} \frac{100}{\sqrt{100}}$

And we can find the critical value $z_{\alpha/2}$ like this:

$z_{\alpha/2}=\frac{25.76(\sqrt{100})}{100}=2.576$

And we know that on the right tail of the z score =2.576 we have $\alpha/2$ of the total area. We can find the area on the right of the z score using this excel code:

"=1-NORM.DIST(2.576,0,1,TRUE)" or using a table of the normal standard distribution, and we got 0.004998= $\alpha/2$ , so then $\alpha=0.00498*2=0.009995 \approx 0.01$ , and then we can find the confidence like this:

Confidence = $1-\alpha=1-0.01=0.99$

And then the confidence level would be given by 99%

8 0

3 years ago

The diameter of a circle measures 10 yd. What is the circumference of the circle?

crimeas [40]

Answer:

31.4 yards

Step-by-step explanation:

Radius (R) = d / 2

R = 10 / 2 = 5 yards

Circumference (C) = 2 π r

C = 2 * 3.14 * 5 yards

C = 31.4 yards

3 0

3 years ago

a store has a sale where all shirts are sold at a discount of 20% if the regular price of the shirts is $20, how may shirts coul

Elena-2011 [213]

Answer:

15 shirts.

Step-by-step explanation:

A 20% discount means you still pay 80% of the price.

x represents the number of shirts that can be bought.

(20 x (1-0.2) )x = 240 or (20 x .8)x = 240

16 x = 240

x = 240/16 = 15

7 0

3 years ago