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3 years ago

NEED HELP WITH TRIG MUST SHOW FULL WORK

Mathematics

2 answers:

Murljashka [212]3 years ago

5 0

Answer:

33.8

Step-by-step explanation:

tankabanditka [31]3 years ago

3 0

Answer: 33.8

Step-by-step explanation:

SOHCAHTOA

Since you are finding angle Q and the known sides are the adjacent side and the hypotenuse, one should use cos (CAH) to find the value of angle Q.

1. sinФ = a/H

2. sinQ = 15/27

3. Q = $sin^{-1} (\frac{15}{27})$

4. Q = 33.75899

5. Q = 33.8

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What is the area of this triangle?<br>

lyudmila [28]

Answer: 12 units squared

Explanation:

A=1/2 bh

A=1/2 8*3

A=1/2 24

A=12

Therefore, the area of this triangle is 12 units squared

5 0

4 years ago

For the hypotheses below test alpha = 0.025 with n = 100 and bar p = 0.67. State

I am Lyosha [343]

Answer:

Part a : Critical value

For this case we want a value of $\alpha = 0.025$ we need to find on the normal standard distribution a z score that accumulates 0.025 of th area on the left and this value is $z_{crit}= -1.96$

Part b: Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.67 -0.76}{\sqrt{\frac{0.76(1-0.76)}{100}}}=-2.107$

Part c: Statistical decision

$n \hat p= 100*0.67= 67 >5$

$n (1-\hat p)= 100*(1-0.67)= 33 >5$

So then the normal approximation makes sense.

Since the calculated value is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level provided and we can conclude that the true proportion is lower than 0.76

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.67$ estimated proportion of interest

$p_o=0.76$ is the value that we want to test

$\alpha=0.025$ represent the significance level

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.76:

Null hypothesis: $p\geq 0.76$

Alternative hypothesis: $p < 0.76$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Part a : Critical value

For this case we want a value of $\alpha = 0.025$ we need to find on the normal standard distribution a z score that accumulates 0.025 of th area on the left and this value is $z_{crit}= -1.96$

Part b: Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.67 -0.76}{\sqrt{\frac{0.76(1-0.76)}{100}}}=-2.107$

Part c: Statistical decision

$n \hat p= 100*0.67= 67 >5$

$n (1-\hat p)= 100*(1-0.67)= 33 >5$

So then the normal approximation makes sense.

6 0

4 years ago

Expand the polynomial and simplify: (4xy− 1 8 y^2)^2

Vinvika [58]

Answer: $4y^{2}(2x-9y)^{2}$

Step-by-step explanation:

We have the following polynomial:

$(4xy-18y^{2})^{2}$

This is a polynomial of the form $(a-b)^{2}=a^{2}-2ab+b^{2}$ . Following this rule to expand it, we have:

$(4xy)^{2}-2(4xy)(18y^{2})+(18y^{2})^{2}$

$16x^{2}y^{2}-144xy^{3}+324y^{4}$

Applying common factor $4y^{2}$ :

$4y^{2}(4x^{2}-36xy+81y^{2})$

Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to $(2x-9y)^{2}$ . Hence, the final simplification is:

$4y^{2}(2x-9y)^{2}$

3 0

3 years ago

What is 54/72 in simplest form?

KonstantinChe [14]

The answer is 3/4. You divide both numbers (54 and 72) by 18 and you get 3/4. Hope it helps!

5 0

3 years ago

Help please thank you

Zepler [3.9K]

Answer:

Step-by-step explanation:

The first two are incorrect. Only very special n's will work. (Every 10th one for n>0)

Just call A and B incorrect.

400o = 360 + 40

The answer is between C and D

The question is will a negative value for n work? Suppose n = - 1 That means you go around the circle clockwise 1 time and though the question does not say it, you must start at the positive x axis.

Having said that 40 is plus.

The 360 starts at the + x axis. It doesn't matter how it got there. 40 degrees from the +x axis is in the first quadrant. It always will be.

D is correct but C is the better answer because it includes D.

3 0

3 years ago