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2 years ago

A geology teacher takes her class on an annual field trip to analyze rock samples. They use randomized sets of

Mathematics

2 answers:

Tpy6a [65]2 years ago

8 0

Second option would be the answer

vazorg [7]2 years ago

5 0

Answer:

Step-by-step explanation:

It’s obvious

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Geometry<br> Solve for x. Round to the nearest tenth of a degree, if necessary.

zvonat [6]

Answer:

13. x = 52.8°

14. 663.65 ft

15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

Tan = Opposite/Adjacent

tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

x° = arctan(2.5/1.9) ≈ 52.8°

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

Tan = Opposite/Adjacent

tan(11°) = (129 ft)/(distance to shore)

distance to shore = (129 ft)/tan(11°)

distance to shore ≈ 663.65 ft

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

Sin = Opposite/Hypotenuse

sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

ladder length ≈ 30.7 ft

3 0

2 years ago

Each morning, Zack leaves his house at 6:35 A.M. It takes Zack 10 minutes to walk to the bus stop. Zack rides the bus for 30 min

skad [1K]

Zack will arrive at his office at 7:25 A.M.

7 0

3 years ago

Describe a sequence of transformations that maps triangle ABC onto triangle A"B"C"<br> Help please?

monitta

the answer is reflection

7 0

3 years ago

The average salary of all residents of a city is thought to be about $39,000. A research team surveys a random sample of 200 res

Rina8888 [55]

Answer:

$z=\frac{40000-39000}{\frac{12000}{\sqrt{200}}}=1.179$

$p_v =2*P(z>1.179)=2*[1-P(Z$

Step-by-step explanation:

Data given and notation

$\bar X=4000$ represent the average score for the sample

$s=12000$ represent the sample standard deviation

$n=200$ sample size

$\mu_o =39000$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to apply a two tailed test.

What are H0 and Ha for this study?

Null hypothesis: $\mu = 39000$

Alternative hypothesis : $\mu \neq 39000$

Compute the test statistic

The sample size is large enough to assume the distribution for the statisitc normal. The statistic for this case is given by:

$z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$z=\frac{40000-39000}{\frac{12000}{\sqrt{200}}}=1.179$

Give the appropriate conclusion for the test

Since is a two tailed test the p value would be:

$p_v =2*P(z>1.179)=2*[1-P(Z$

Conclusion

If we compare the p value and a significance level given for example $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the true population mean for the salary not differs significantly from the value of 39000.