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3 years ago

Two angles are complementary. One of the angles is twice the other.

2 answers:

8 0

There are TWO angles, if one angles is x then the other angle is 2x, lets set up an equation. The equation is going to be x+2x=90. Now we solve, x=1x, so 1x+2x=3x. 3x=90. Divide both sides by 3, 3x/3=90/3, 90/3=30, x=30. Add 30 by 30, 30+30=60. So, the answer is b) 60°

sergiy2304 [10]3 years ago

5 0

Two complementary angles must add to 90 degrees, and if you divide 90 into thirds (two parts for the larger angle, one for the smaller), then you get 30 degrees.

If the smaller angle is 30 degrees, then the larger is two times that, which is 60. 60 + 30 = 90, so the larger angle is equal to 60 degrees.

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While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem

Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = population proportion.

So, Null Hypothesis, $H_0$ : p = 0.013 {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, $H_A$ : p > 0.013 {means that this is an unusually high number of faulty modems}

The test statistics that would be used here One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion faulty modems= $\frac{10}{367}$ = 0.027

n = sample of modems = 367

So, the test statistics = $\frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }$

= 2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that this is an unusually high number of faulty modems.

6 0

3 years ago

Two 6 sided dice are rolled. what is the probability of rolling a 3 on either of the dice

emmasim [6.3K]

There is a 2 of 6 percent chance that one them might land on three if you add one extra dice it would be 3 of 6 percent chance and so on.

Hope this Helped!

;D
Brainliest??

7 0

2 years ago

A-8 B-16 C-12 Please help guys.

Ksju [112]

Its c the answer is c because 8+4 is 12 and if you get rid of the angle and move the line so it’s straight it would be both 8 and 4

6 0

1 year ago

Y=3x+13 2x=y-9 Solve for x and y points using addition method

GrogVix [38]

$y=3x+13 \\
2x=y-9 \ \ \ |-y-2x \\ \\
y=3x+13 \\
\underline{-y=-2x-9} \ \ \ \hbox{add the sides} \\
y-y=3x-2x+13-9 \\
0=x+4 \\
x=-4 \\ \\
y=3x+13=3 \times (-4)+13=-12+13=1 \\ \\
\boxed{(x,y)=(-4,1)}$

6 0

3 years ago

Read 2 more answers

What is the length of AC?

sashaice [31]

A is at -8 and C i5 at 5

-8 to 0 is 8 units and 0 to 5 is 5 units.

8 +5 = 13

AC is 13 units long.

3 0

3 years ago

Read 2 more answers