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3 years ago

Choose the equation below that represents the line passing through the point (1, −4) with a slope of one half.

2 answers:

7 0

3rd one
Reason:
Point slope formula: y-y1=m(x-x1)
y1=-4
x1=1
m=1/2
Put it all together and you get a final answer of:
y-(-4)=1/2(x-1)
two negs make one pos
so,
final answer:y+4=1/2(x-1)

Alona [7]3 years ago

5 0

Point-slope formula: y-y1 = m (x-x1)

Now, just plug in the numbers

y+4 = 1/2 (x-1)

So, the answer is C.

HOPE THIS HELPS!!!!

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3 years ago

Mr. and Mrs. Storey drove 2,400 miles during their vacation. Mr. Storey (y) drove 3 times as many miles as Mrs. Storey (x).

Wittaler [7]

X + y = 2400
y = 3x

x + 3x = 2400
4x = 2400
x = 2400/4
x = 600 <== Mrs. Storey drove 600 miles

y = 3x
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3 years ago

Which product is negative?

finlep [7]

The third one is negative im pretty sure

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3 years ago

The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

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 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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

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

$-0.5 = \frac{55.5 - \mu}{\sigma}$

$-0.5\sigma = 55.5 - \mu$

$\mu = 55.5 + 0.5\sigma$

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when $X = 71.52, Z = 1.28$

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

$1.28 = \frac{71.52 - \mu}{\sigma}$

$1.28\sigma = 71.52 - \mu$

$\mu = 71.52 - 1.28\sigma$

Since we also have that $\mu = 55.5 + 0.5\sigma$

$55.5 + 0.5\sigma = 71.52 - 1.28\sigma$

$1.78\sigma = 71.52 - 55.5$

$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

The standard deviation is $\sigma = 9$

6 0

3 years ago

Three buildings in a town are mapped on a coordinate grid. The Cinema is located at (2,1), the Museum is located at (–3,–1), and

balu736 [363]

Answer:

The Cinema is equidistant from the Theater and the Museum

Step-by-step explanation:

Refer to attachment

As per the graph, the three buildings are located on same line, the Cinema (2, 1) is in the middle and the Cinema is equidistant from the Museum (-3,-1) and the Theater (7,3):
2 - (-3) = 5 and 7 - 2 = 5

Correct answer choice:

The Cinema is equidistant from the Theater and the Museum

6 0

4 years ago

Read 2 more answers