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ss7ja [257]
4 years ago
12

An acute angle θ is in a right triangle with sin θ = five sixths. What is the value of cot θ?

Mathematics
1 answer:
Molodets [167]4 years ago
6 0
<span>The value of cot is √13/6</span>
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Home Videos Inc. surveys 450 households and finds that the mean amount spent for renting or buying videos is P135 a month and th
adell [148]

SOLUTION:

Case: Hypothesis testing

Step 1: Null and Alternative hypotheses

\begin{gathered} H_0:\mu=P127.50 \\ H_1:\mu\leq P127.50 \end{gathered}

Step 2: T-test analysis

\begin{gathered} t=\frac{\hat{x}-\mu}{\frac{s}{\sqrt{n}}} \\ t=\frac{135-127.5}{\frac{75.25}{\sqrt{450}}} \\ t=2.144 \end{gathered}

Step 3: t-test with the significance level

\begin{gathered} t_{\alpha}=? \\ \alpha=0.05 \\ From\text{ }tables \\ t_{0.05}=1.654 \end{gathered}

Step 4: Comparing

t>t_{\alpha}

So tail to reject the null hypothesis. There is enough evidence at a 0.05 level of significance to claim that the mean spent is greater than P127.50.

Final answer:

Yes, there is evidence sufficient to conclude that the mean amount spent is greater than P127.50 per month at a 0.05 level of significance.

6 0
1 year ago
An increase of 10% would give workers a salary of $880. What salary would an increase of 20% give?
jok3333 [9.3K]

Answer:

$960

Step-by-step explanation:

110% = $880

10% = $80

120% = $960

8 0
3 years ago
Are These shapes similar or congruent
Klio2033 [76]

Answer:

is it congruent !!!!!!!

4 0
3 years ago
I need help with the third part of number 2 please!
OverLord2011 [107]

Answer: 21.8

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2

5^2 + b^2 = 10^2

25 + b^2 = 100

b^2 = 75

b = 8.7

area = 1/2bh

1/2 5x8.7

1/2 43.5

21.8

5 0
3 years ago
How to solve<br><br> -3(x+4)=-15
egoroff_w [7]

Answer:

x=1      -3(1+4)=-15

Step-by-step explanation:

-3(x+4)=-15

---------------

-3         -3

x+4= 5

  -4=-4

x=1

That should be right

3 0
3 years ago
Read 2 more answers
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