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3 years ago

(07.01 MC)

Mathematics

2 answers:

ratelena [41]3 years ago

5 0

I choose A. 0, because the angles are complementary

Anit [1.1K]3 years ago

4 0

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

$\cos 90^\circ=0$

As we know that

Sine function and Cosine function are complementary.

So, it becomes ,

$\cos(90^\circ-90^\circ)=0\\\\\implies \sin 0^\circ=0$

Hence, Option 'a' is correct i.e. a. 0, because the angles are complementary.

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2. Use the distributive property to rewrite the following expression. 3(x+5)

baherus [9]

The answer is 3x+15

You multiply the x and 5 by 3 to get 3x and 15

6 0

3 years ago

Please help! I'll give out the brainiest!

gavmur [86]

To find the solution
-4x>36
divide both sides by -4
(REMEMBER WHEN YOU DIVIDE BY A NEGATIVE, THE SIGN FLIPS OVER)
x < -36/4
simplified
x < -9

Hope this helps :)

6 0

3 years ago

In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the

sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

Let $\hat p$ = sample proportion of households who own a 4K television.

The z-score probability distribution for sample proportion is given by;

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

where, $\hat p$ = sample proportion

p = population proportion of households own a 4K television = 35%

n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } }$ ) = P(Z > 3.67) = 1 - P(Z $\leq$ 3.67)

= 1 - 0.99988 = 0.00012

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

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3 years ago

1) The number √ , where n is a prime number is

Firlakuza [10]

It is an irrational number

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3 years ago

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