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KiRa [710]
2 years ago
7

Y = sin (x + 60°), What transformation does + 60° cause to the sine graph?

Mathematics
1 answer:
Goshia [24]2 years ago
5 0

Answer:

3. There is a phase shift (Horizontal shift).

Step-by-step explanation:

Use desmos to help you

Graph

y=sin(x+60)

y=sin(x)

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Sean and Evan are college roommates who have part-time jobs as servers in restaurants. The distribution of Sean’s weekly income
Sauron [17]

Answer:

d. 0.303

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We want the probability of Sean having a greater income than Evan, which is the probability of the subtraction of Sean's income by Evan's income is greater than 0.

Distribution of the difference between Sean's and Evan's income:

Sean has mean 225, Evan 240. So

\mu = 225 - 240 = -15

Sean's standard deviation is of 25, Evan's of 15. So

\sigma = \sqrt{25^2+15^2} = 29.15

Probability that Sean will have a greater income than Evan in a randomly selected week:

Probability of the subtraction being greater than 0, which is 1 subtracted by the pvalue of Z when X = 0. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0 - (-15)}{29.15}

Z = 0.51

Z = 0.51 has a pvalue of 0.695

1 - 0.695 = 0.305.

Closest to 0.303, option d.

5 0
3 years ago
2. Use your inequality from Question 1 and let h = 27 cm. Is this value of h a valid solution to the inequality? Explain.
Slav-nsk [51]

Answer:

someone needs to answer this because i dont know

it.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Hi guys can u pls help me with number 4? Thanks :))))
Sonja [21]

Step-by-step explanation:

4 is the greatest number that 12, 16, and 20

The greatest common factor of 28 and 70 is 14.

1.6

8 0
2 years ago
X-3y=6<br> x=3y+4<br><br> solve for x and y
Fantom [35]

Answer:

1) x = 6, y = -2 + 1/3x

2)

Step-by-step explanation:

1) x-3y=6

-3y=6-x, 6-x/-3y

y = -2 + 1/3x

x - 3(-2+1/3x) = 6

x - 6 + x = 6

2x =12

x = 6

2) x=3y+4

-3y = -x+4

y = -x/-3 +4/-3

y = 1/3x + -4/3

x = 3(1/3x + -4/3)

I am unsure about x on number two...

7 0
3 years ago
Suppose you have 4 purple marbles, 3 green marbles, and 5 red marbles.
Aloiza [94]

Answer:

3/4

Step-by-step explanation:

5 0
3 years ago
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