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Ket [755]
1 year ago
13

A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she dropped 24.9 feet. How many

feet had she been below sea level, if she was 66.7 feet below sea level after she dropped?
Mathematics
1 answer:
Harrizon [31]1 year ago
8 0

The Depth of the Scientist before dropping is;  42.2 ft

<h3>How to calculate sea level elevation?</h3>

It is pertinent to note that sea level is usually considered zero level. Thus, one is either above the sea level (positive sign) or below the sea level.

Now, we are told that the scientist was already below the sea level before she dropped 24.9 ft.

Now, if after dropping 24.9 ft, she is now 66.7 ft below sea level, then it means that the depth she was at before dropping 24.9 ft is;

Depth before dropping 24.9 ft = 66.7 - 24.9

Depth before dropping = 42.2 ft

Read more about Sea level Elevation at; brainly.com/question/2092614

#SPJ1

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Answer:

11/9

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The domain of a function are the possible input values of the function.

<em>The domain of the function is (d) Whole numbers</em>

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This means that the domain of the graph is (0,\infty)

The number of times one can visit the pool cannot be decimal.

Hence, the domain of the function is whole numbers

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4 0
3 years ago
A sample survey is designed to estimate the proportion of sports utility vehicles being driven in the state of California. A ran
mart [117]

Answer:

a) The 95% confidence interval would be given (0.070;0.121).

b) "increase the sample size n"

"decrease za/2 by decreasing the confidence"

Step-by-step explanation:

Notation and definitions

X=48 number of vehicles classified as sports utility.

n=500 random sample taken

\hat p=\frac{48}{500}=0.096 estimated proportion of vehicles classified as sports utility vehicles.

p true population proportion of vehicles classified as sports utility vehicles.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

(a) Use a 95% confidence interval to estimate the proportion of sports utility vehicles in California. (Round your answers to three decimal places.)

The confidence interval would be given by this formula :

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.5=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

And replacing into the confidence interval formula we got:

0.096 - 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.070

0.096 + 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.121

And the 95% confidence interval would be given (0.070;0.121).

We are confident (95%) that about 7.0% to 12.1% of vehicles in California are classified as sports utility .  

(b) How can you estimate the proportion of sports utility vehicles in California with a higher degree of accuracy? (HINT: There are two answers. Select all that apply.)

For this case we just have two ways to increase the accuracy one is "increase the sample size n" since if we have a larger sample size the estimation would be more accurate. And the other possibility is "decrease za/2 by decreasing the confidence" because if we decrease the confidence level the interval would be narrower and accurate

7 0
3 years ago
Need help :)<br><br><br><br> pleaseeeeeee :(
gayaneshka [121]

Answer: x\geq 88

This means that he has to save at least $88 or more to have enough money.

Step-by-step explanation:

He has $37 and he needs to save more (+) but we don't know how much more that is, so that's why that is our unknown value. (x). The sum of them has to be at least 125 or greater.

37+x\geq 125

Subtract 37

x\geq125-37

x\geq 88

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Why is a coordinate plane useful for graphing locations? Why is it useful as a map?
erastovalidia [21]
It makes it alot easier to call out locations and plot them fast.
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