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Doss [256]
3 years ago
12

8p + 3q - when p=1/3 and q=7

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Answer:

23.6 Repeated

Step-by-step explanation:

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From the top of an apartment building, the angle of depression to a car parked on the street below is 32 degree. The car is park
Citrus2011 [14]

Answer: The height of the building = 56 feet.

Step-by-step explanation:

Let AB be the height of the building and BC be the distance of the car from the building on the ground.

Now , ∠ C = 32°   [Alternate interior angles ]

According to the trigonometry,

\tan x =\dfrac{Perpenicular}{base}\\\\\Rightarrow\ \tan 32^{\circ} =\dfrac{AB}{90}\\\\\Rightarrow\ 0.6248693519=\dfrac{AB}{90}\\\\\Rightarrow\ AB = 90\times 0.6248693519=56.238241671\approx56

Hence, the height of the building = 56 feet.

6 0
3 years ago
Factor completely.<br> 4x^3 + 12x^2 + 3x + 9
Sergio039 [100]

Answer:

(4x^2 + 3)(x + 3)

Step-by-step explanation:

Split the equation in the middle so you can factor it out:

4x^3 + 12x^2   |   + 3x + 9

Then factor out:

4x^2(x + 3)   |   3(x + 3)

Congrats, you completed your equation:

(4x^2 + 3)(x + 3)

5 0
3 years ago
How do you writ 1.660 in scientific notation ​
belka [17]

Answer:

1.66 * 10^{0}

Step-by-step explanation:

1.660

we would only move the decimal point once.

1.66 * 10^0

10^0 = 1

7 0
3 years ago
Caleb invested $6,200 in an account paying an interest rate of 7 1/2% compounded
Citrus2011 [14]
Oh this is a hard one I will get back to you whenever I get it
7 0
3 years ago
College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall
Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

z=\frac{x-\mu}{\sigma}

z = z-score,

x = Random sample score,

\mu = Mean,

\sigma = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

35\text{ min}=0.58\text{ Hour}

z=\frac{9.6-8.6}{0.58}

z=\frac{1}{0.58}

z=1.72

Now, we need to find P(z>1.72).

Using formula P(z>a)=1-P(z, we will get:

P(z>1.72)=1-P(z

Using normal distribution table, we will get:

P(z>1.72)=1-0.95728

P(z>1.72)=0.04272

0.04272\times 100\%=4.272\%

Therefore, 4.27% of college students sleep for more than 9.6 hours.

7 0
3 years ago
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