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2 years ago

Given: The

Mathematics

1 answer:

AlekseyPX2 years ago

7 0

Answer:

Step-by-step explanation:

We can calculate for a using sine rule.

For angle A,

A + 27° + 82° = 180 ( sum of angles in a triangle).

A + 109 = 180

A = 180 - 109 = 71°

Therefore,

A = 71°

calculating for side a

$\frac{sin \: 27}{12} = \frac{sin71}{a} \\ a = \frac{12 \times sin71}{sin27} \\ a \: = \frac{11.346}{0.454} \\ a = 25$

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Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on pa

erica [24]

Answer: 0.3974

Step-by-step explanation:

Given : The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal.

Real annual returns on U.S. common stocks had mean : $\mu=0.087$

Standard deviation : $\sigma=0.202$

We assume that the past pattern of variation continues.

Let x be the random variable that represents the annual returns on common stocks over the next 32 years .

The formula for z-score : $z=\dfrac{x-\mu}{\sigma}$

For x= 0.14, $z=\dfrac{0.14-0.087}{0.202}\approx0.26$

By using the standard normal distribution table , we have

The probability that the mean annual return on common stocks over the next 32 years will exceed 14% :-

$P(x>0.14)=P(z>0.26)=1-P(z\leq0.26)\\\\=1-0.6025681=0.3974319\approx0.3974$

4 0

3 years ago

Anwser the question for brainlist

klasskru [66]

Answer:

there's no question, pal

Step-by-step explanation:

27.9333, use a calculator.

6 0

3 years ago

Xiao's teacher asked him to rewrite the sum 60+90 is the product of the GCF of the two numbers and the sum. Xiao wrote 3(20+30).

larisa [96]

Xiao was mistake because 3(20+30) still can divide by 10. The sum is 30(2+3)

5 0

3 years ago

Find the area of the circle. Round to the nearest whole number

GuDViN [60]

Hello!

$\mathcal{GIVEN:}$

Diameter of the circle = 12 cm

$\mathcal{TO\:FIND:}$

Area of the Circle

$\mathcal{SOLUTION:}$

A=πr²

Hey! We have the diameter, not the radius.

Don't panic. In order to find the radius, we should divide the diameter by 2.

So, the radius is 6.

Plug it into the formula:

A=π(6)²

A=π(36)

A≈113 cm

Hope it helps!

Good luck and enjoy your day!

-SnowFlake

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3 years ago

For every 24 minutes of television there are 6 minutes of commercials how many minutes of a commercial are there 1 hour and 36 m

oksian1 [2.3K]

Answer: 16 minutes

Step-by-step explanation:

24: 6= 4

1 hour = 60 minutes

60+36 =96

24 x 4 = 96

4 + 4+ 4+ 4= 16

5 0

3 years ago