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almond37 [142]
2 years ago
12

Find the exact value of sin(20) using the double-angle formula given: sin(0) = -4/5 , π<0<3π/2

Mathematics
1 answer:
viktelen [127]2 years ago
5 0

Answer:

I think its A

Step-by-step explanation:

Sin(20) = 0.91294525072 which in a fraction it would be 24/25

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Find the diameter, area and circumference.<br> 11<br> 0
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diameter = two times the radius

2r

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Which of the following numbers lies between 0.3 and 0.4 ?<br>​
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Where are the following numbers to refer to?
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The upper arm length of females over 20 years old in a country is approximately Normal with mean 35.8 centimeters (cm) and stand
lana [24]

Answer:

a) The range of lengths from 28.3 cm to 43.3 cm covers almost all (99.7%) of this distribution.

b) 16% of women over 20 have upper arm lengths less than 33.3 cm.

Step-by-step explanation:

The Empirical Rule(68-95-99.7 Rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 35.8 cm

Standard deviation = 2.5 cm

(a) What range of lengths covers almost all (99.7%) of this distribution?

This range is from 3 standard deviations below the mean to three standard deviations above the mean.

So from 35.8 - 3*2.5 = 28.3 cm to 35.8 + 3*2.5 = 43.3 cm

The range of lengths from 28.3 cm to 43.3 cm covers almost all (99.7%) of this distribution.

(b) What percent of women over 20 have upper arm lengths less than 33.3 cm?

68% of the women over 20 have upper arm length between 33.3 cm and 38.3 cm. The other 32% have upper arm length lower than 33.3 cm or higher than 38.3. The distribution is symmetric, so 16% of the have upper arm length lower than 33.3 cm and 16% have upper arm length higher than 38.3 cm

So 16% of women over 20 have upper arm lengths less than 33.3 cm.

4 0
3 years ago
Someone plz solve and check thanks
maksim [4K]

Remember to follow the order of operation, PEMDAS. PEMDAS stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

5. 9(7x - 4) = 27

First, distribute 9 to all terms within the parenthesis:

9(7x - 4) = 27

(9 * 7x) - (9 * 4) = 27

63x - 36 = 27

Next, isolate the variable, x. Do the opposite of PEMDAS.

First, add 36 to both sides:

63x - 36 (+36) = 27 (+36)

63x = 27 + 36

63x = 63

Isolate the variable, x. Divide 63 from both sides:

(63x)/63 = (63)/63

x = 63/63 = 1

x = 1

~

6. 5(3x + 8) = 175

First, distribute 5 to all terms within the parenthesis:

5(3x + 8) = (5 * 3x) + (5 * 8) = 15x + 40

15x + 40 = 175

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 40 from both sides:

15x + 40 (-40) = 175 (-40)

15x = 175 - 40

15x = 135

Next, divide 15 from both sides of the equation:

(15x)/15 = (135)/15

x = 135/15 = 9

x = 9

~

8 0
2 years ago
Can someone please help me with these math problems?
MArishka [77]
The 1 question is 3 and the second one is 3
8 0
3 years ago
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