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2 years ago

14

If Luke spins the pointer on a fair 3-color spinner twice. what is the probability that the pointer lands on the same color twic

e?

1 answer:

Free_Kalibri [48]2 years ago

7 0

The correct answer is 2 out of 6

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Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the

Llana [10]

Answer:

h(x), g(x), f(x)

Step-by-step explanation:

The axis of symmetry of a parabola is the vertical line through its vertex.

__

<h3>f(x)</h3>

The equation is written in vertex form:

f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'

The vertical line through the vertex is x=h.

Your equation is ...

f(x) = -2(x -4) +2

so (h, k) = (4, 2) and the line of symmetry is x=4.

__

<h3>g(x)</h3>

The given equation can be written in vertex form:

g(x) = 5x² -10x +7

g(x) = 5(x² -2x) +7

g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square

g(x) = 5(x -1)² +2

so (h, k) = (1, 2) and the line of symmetry is x=1.

__

<h3>h(x)</h3>

Your problem statement tells us ...

h(x) = -(x +2)² +2

so (h, k) = (-2, 2) and the line of symmetry is x=-2.

The coordinates of the vertex can also be read from the graph: (-2, 2).

__

<h3>order</h3>

The rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).

7 0

1 year ago

Can someone help me with this question please!!!!!

lianna [129]

Answer:

a = 29

u = 12

Step-by-step explanation:

32 + 7u + 9 + 2a - 3 = 3a + 7u + 9

32 + 2a - 3 = 3a

a = 29

3(29) + 7u + 9 = 180

7u = 180 - 96

7u = 84

u = 12

6 0

2 years ago

Read 2 more answers

Sarah has a bag of jolly ranchers. There are 15 grape, 20 blue raspberry, 10 watermelon, 8 cherry, and 7 green apple jolly ranch

Anettt [7]

A) 15/33 B) 18/33 C) 26/33 if you have to use words use most likely, probably, etc

3 0

2 years ago

Read 2 more answers

-16 + x = -15<br><br> CAN SOMEONE HELP ME PLEASE

Maksim231197 [3]

Answer: x= 1

Step-by-step explanation: Look at pic down below.

7 0

2 years ago

According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507 and st

Leviafan [203]

Answer:

The actual SAT-M score marking the 98th percentile is 735.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 507, \sigma = 111$

Find the actual SAT-M score marking the 98th percentile

This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So

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

$2.054 = \frac{X - 507}{111}$

$X - 507 = 2.054*111$

$X = 735$

8 0

2 years ago