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cluponka [151]
2 years ago
10

5. Write an equation for a line with a slope of -4 and goes through the point (5, -1). Show all work.​

Mathematics
1 answer:
Artyom0805 [142]2 years ago
4 0

Answer:

y=-4x+19

Step-by-step explanation:

Plug into point-slope formula

y-y1=m(x-x1)

y-(-1)=-4(x-5)

y+1=-4x+20

 -1          -1

y=-4x+19

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Raul is practicing for baseball tryouts he wants to find how far he can hit a baseball he hits the ball 10 times and measures th
wel

Answer:

See Explanation

Step-by-step explanation:

Given

n = 10 --- Number of tryouts

Required

Determine the average distance

<em>This question has missing details, as the distance he hits the ball in each tryout is not given. However, I'll give a general explanation.</em>

<em></em>

The mean is calculated as:

\bar x = \frac{\sum x}{n}

\sum x means the sum of the distance in each tryout.

Assume that the distance in the 10 tryouts are: 6, 8, 5, 9, 4, 5, 8, 7, 7, 6.

So, the mean is:

\bar x = \frac{6+ 8+ 5+ 9+ 4+ 5+ 8+ 7+ 7+ 6}{10}

\bar x = \frac{65}{10}

\bar x = 6.5}

<em>So, the average distance is 6.5</em>

4 0
3 years ago
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Which combinations of transformations will always produce congruent figures? check all that apply
Vinvika [58]
You didnt provide the selections, but some answers would most likely be rotations, translations, and reflections.
4 0
3 years ago
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How do these numbers compare? Drag the correct comparison symbol to the box. 2.75 2.6
Natalka [10]
<h2>COMPARE</h2>

<h2>\\ \sf \: 2.75 \:  \:  \: \green{\boxed{\tt{{ > }}}} \:  \:  \: 2.6 \\</h2>

The correct sign for the two given digits compared is greater than. 2.75 is greater than 2.6.

8 0
2 years ago
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Please help with problem !!!
True [87]

Answer:

Step-by-step explanation:

y = 2x^2 - 12x +19                Put brackets around the  1st 2 terms. Take 2

y = 2(x^2 - 6x ) + 19             Take 1/2 of the 6 square it and add inside the brackets

y = 2(x^2 - 6 + (6/2)^2) +19 Subtract 2 *9 from the 19. Express 1st 3 terms as ( )^2

y = 2(x- 3)^2 + 19 - 18

y = 2(x - 3)^2 + 1

Answers

y intercept when x = 0 is y = 19

axis of symmetry x = 3

vertex: (3,1)

Graph

graph: red

axis of symmetry: blue

y intercept, vertex: green

7 0
3 years ago
The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use 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 question:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

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

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

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

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

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

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0
3 years ago
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