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ioda
3 years ago
8

Student finished eighth of homework problem in the class If the ratio of problem she finish to problem she still had left was 4.

1 how many homework problems did she have total?
Mathematics
1 answer:
omeli [17]3 years ago
6 0
5 homework problems because 4+1=5
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HELP pleaseee ASAP I’m stuck
Blizzard [7]

Step-by-step explanation:

using trig, tangent is equal to opposite over adjacent.

in this case, the angle is 45, opposite is 7, and adjacent is a.

thus tan 45° = 7/a

solve for a to get a = 7/tan 45° = 4.32

6 0
3 years ago
The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor
melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: H_{0}: p = 0.7

And the alternate hypothesis is: H_{a}: p > 0.7

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that \mu = 0.7, \sigma = \sqrt{0.7*0.3}

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that n = 500, X = \frac{375}{500} = 0.75

Value of the z-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}

z = 2.44

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0
3 years ago
Please im finna fail my NWEA testtttt
julia-pushkina [17]
I think it’s B. since it’s on the adjacent & hypotenuse side it makes it cosine, and the correct way to set it up is B i believe. hopefully i’m not wrong because it could also be D
7 0
3 years ago
Read 2 more answers
A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is give
Andre45 [30]

Answer:

  • Growth
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Step-by-step explanation:

<u>Given function:</u>

  • P(t) = 400(1.22)^{t}

<u>Initial population size is when t = 0</u>

  • P(0) = 400(1.22)⁰ = 400(1) = 400

<u>The multiple of 1.22 is applied every year, so the ratio of change is:</u>

  • 1.22 = 122% = 100% + 22%

This is an exponential growth which represents 22% annual growth.

5 0
3 years ago
1/10 ton of sand to 4/5. What is the ratio in ton per minute?
g100num [7]

1/10 4/5 we need common denominaters so

1/10 4(2)/(5)= 8/10

5 0
3 years ago
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