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Wittaler [7]
3 years ago
6

What is the exact value of the trigonometric expression in simplest form?

Mathematics
1 answer:
Bingel [31]3 years ago
4 0

Step-by-step explanation:

-  \sqrt{3}  + 4(  \frac{ \sqrt{3} }{2} )

-  \sqrt{3}  + 2 \sqrt{3}  =  \sqrt{3}

sqr root of 3

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How do you write thirty four million, sixty- two thousand
serious [3.7K]
34,062,000! you are welcome!
7 0
3 years ago
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Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with
soldier1979 [14.2K]

The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

<h3>Probability</h3>

a. Distribution

X ~ N (20 , 6)

b. P(x ≤24)

= P[(x - μ ) / σ  (24 - 20) / 6]

= P(z  ≤0.67)

=  0.74857

=0.7486

Hence:

Probability = 0.7486

c. P(21 < x < 26)

= P[(21 - 26)/ 6) < (x - μ  ) / σ   < (24 - 20) / 6) ]

= P(-0.83 < z < 0.67)

= P(z < 0.67) - P(z < -0.)

=  0.74857- 0.2033

= 0.54527

Hence:

Probability =0.54527

d. Using standard normal table ,

P(Z < z) = 66%

P(Z < 0.50) = 0.66

z = 0.50

Using z-score formula,

x = z×  σ +  μ

x = 0.50 × 6 + 20 = 23

23 Christmas cards

Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

Learn more about probability here:brainly.com/question/24756209

#SPJ1

8 0
2 years ago
It took a car 4 days to travel 4554 miles. What was the car's average speed in miles per hour
Ahat [919]

Answer:

18.975

Step-by-step explanation:

I hope this is right but i did 60 times 4 =240. then I divided 4554 by 240 but i hope this works and can yhu mark me brainliest

3 0
3 years ago
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Serjik [45]

Answer:

<h3>The answer is option F</h3>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To calculate the equation of the line first find the slope

Slope of the line using points

(0 , 0) and (4 , -2) is

m =  \frac{ - 2 - 0}{4 - 0}  =  \frac{ - 2}{4}  =  -  \frac{1}{2}

Now use the formula

y - y1 = m(x - x1) to find the equation of the line using any of the points

Using point (0,0)

That's

y - 0 =   - \frac{ 1}{2} (x - 0)

The final answer is

y =  -  \frac{1}{2} x

Hope this helps you

4 0
3 years ago
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Solve the inequality for x and identify the graph of its solution.
grandymaker [24]

Answer:

x<1

Step-by-step explanation:

[1x + 1]< 2

Simplify both sides of the inequality.

x+1<2

Subtract 1 from both sides.

x+1−1<2−1

x<1

Answer:

x<1

On the graph line, the circle is open on number 1 and is going left

8 0
3 years ago
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