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svet-max [94.6K]
3 years ago
6

Y=-1/2x+1 what is the slope

Mathematics
1 answer:
klio [65]3 years ago
6 0
The slope is -1/2. When it’s in the equation like that, the slope is always the number that has the letter X next to it.
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Select the correct answer.
tigry1 [53]

Answer:

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Step-by-step explanation:

Empirical Rule:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Mean $45.90, standard deviation $10.31.

Sample:

By the Central limit theorem, mean $45.90, standard deviation s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155

Which interval can the branch manager be 95% certain that the sample mean will fall within?

By the Empirical Rule, within 2 standard deviations of the mean. So

45.90 - 2*0.5155 = $44.87

45.90 + 2*0.5155 = $46.93

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

6 0
2 years ago
Read 2 more answers
The auto rental company rented 8,669 autos last month. This month it rented 3,742 more autos than it did last month. About how m
balandron [24]
8,869 + 3,742 = 12,411. Rounded it's C., 12,400. Hope that helps!
4 0
3 years ago
Find the measures of all of the angles.
irga5000 [103]

Answer:

a:

1. ABC = 60°

2. BCA = 90°

3. CAB = 30°

b:

XVR = WVS = 125°

RVS = 55°

RST = VSU = 110°

RSV = UST= 70°

TUS = 39°

Step-by-step explanation:

a:

According this is a Right Triangle ( BCA = 90°) and the sum angles of a triangle is 180° :

90+5x+9x+6=180

14x=84

x=6

Then we have : ABC = 9(6)+6 =60

CBA = 5(6)=30

b :

Given that the size of the opposite angles to a vertex are equal and the sum of the interior angles of a triangle is 180 degrees, the size of all angles can be easily found.

8 0
2 years ago
Help me please I need the answer
Verdich [7]

Answer:

141

Step-by-step explanation:

162+54-75=141

3 0
3 years ago
A is the midpoint of BC. <br> BA = 3x+8 <br> AC=23. <br> solve for x
AnnyKZ [126]

Since A is the midpoint of BC, we can assume BA and AC are equal to each other.

We also know that BC = BA + AC = 23 + 23 = 46

7 0
3 years ago
Read 2 more answers
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