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Morgarella [4.7K]
3 years ago
14

How do I solve these trigonometric functions?

Mathematics
1 answer:
scoundrel [369]3 years ago
8 0

this one is correct.

See attached

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g At a certain gas station, 30% of all customers use the restroom. What is the probability that, out of the next 10 customers, (
Kruka [31]

Answer:

P(x=4) = 0.200

Step-by-step explanation:

Given

n=10 --- selected customers

x = 4 --- those that are expected to use the restroom

p =30\% = 0.30 --- proportion that uses the restroom

Required

P(x = 4)

The question illustrates binomial probability and the formula is:

P(x) = ^nC_x * p^x * (1 - p)^{n - x}

So, we have:

P(x=4) = ^{10}C_4 * (0.30)^4 * (1 - 0.30)^{10 - 4}

P(x=4) = ^{10}C_4 * (0.30)^4 * (0.70)^6

P(x=4) = 210* (0.30)^4 * (0.70)^6

P(x=4) = 0.200

4 0
3 years ago
What are the values of a and b?
ivann1987 [24]

Answer:

<h2>a = 400/21, b = 580/21</h2>

Step-by-step explanation:

Small triangles are similar. Therefore, the sides are proportional

\dfrac{a}{20}=\dfrac{20}{21}               <em>cross multiply</em>

21a=(20)(20)       <em>divide both sides by 21</em>

a=\dfrac{400}{21}

For b, we can use the Pythagorean theorem:

b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}

3 0
3 years ago
Help me please thank you
dimaraw [331]

Answer:

You have to upload a pic of you're work?

Step-by-step explanation:

8 0
3 years ago
The function h(x) = 1/2 (x+3)2 +2. How is the graph of the h(x) translated from the parent graph of a quadratic function, F(x) =
Natali5045456 [20]
For this case, the parent function is given by:
 F (x) = x ^ 2&#10;
 We apply the following function transformation:
 Vertical compressions:
 To graph y = a * f (x)
 If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
 We have then:
 y = (1/2) * x ^ 2&#10;
 Horizontal translations:
 Suppose that h> 0
 To graph y = f (x + h), move the graph of h units to the left.
 We have then:
 y = (1/2) * (x + 3) ^ 2&#10;
 Vertical translations:
 Suppose that k> 0
 To graph y = f (x) + k, move the graph of k units up.
 We have then:
 h (x) = (1/2) * (x + 3) ^ 2 + 2&#10;
 Answer:
 
Vertical compression by factor of 1/2. Horizontal displacement 3 units to the left. Vertical displacement 2 units up.
3 0
3 years ago
Ms. Ritchie has 42 sheets of paper for an art project. Each student needs 5 sheets. How many students can get paper? How many sh
Serggg [28]

Answer:

8.4

Step-by-step explanation:

42÷5

then just multiply your answer to 5 to see if it is right

4 0
3 years ago
Read 2 more answers
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