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Kruka [31]
3 years ago
12

John began the week with -21

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

Answer:

810

Step-by-step explanation:

-21 + d = 789

d = 789+21

d= 810

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In a recent national survey, the mean price for a 2000 sq ft home in Florida is $240,000 with a standard deviation of $16,000. T
Doss [256]

Answer:

In both Florida and Ohio the house is 2.5 standard deviations from the mean.

Step-by-step explanation:

Z-score

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:

The 200,000 house would be closer to the mean in the state in which the absolute value of the z-score is smaller.

Florida:

\mu = 240000, \sigma = 16000

So

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

Z = \frac{200000 - 240000}{16000}

Z = -2.5

In Florida, a home priced at $200,000 is 2.5 standard deviations from the mean.

Ohio:

\mu = 170000, \sigma = 12000

So

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

Z = \frac{200000 - 170000}{12000}

Z = 2.5

In Ohio, it is also 2.5 standard deviations from the mean.

In both Florida and Ohio the house is 2.5 standard deviations from the mean.

6 0
3 years ago
Solve the missing side. Find the missing side. Round to the nearest tenth. Please show the work. Part 2. #5-8​
enyata [817]

Answer:

5. 6.1 units

6. 29.4 units

7. 12.8 units

8. 29.1 units

Step-by-step explanation:

5. We have the opposite and adjacent sides here for angle 21 degrees. So we need to use tangent, which is opposite / adjacent:

tan(21)=x/16

x=16*tan(21) ≈ 6.1 units

6. We have the opposite and hypotenuse sides here for angle 33 degrees. So we need to use sine, which is opposite / hypotenuse:

sin(33)=16/x

x=16/sin(33) ≈ 29.4 units

7. We have the opposite and adjacent sides here for angle 37 degrees. So we need to use tangent, which is opposite / adjacent:

tan(37)=x/17

x=17*tan(37) ≈ 12.8 units

8. We have the opposite and hypotenuse sides here for angle 31 degrees. So we need to use sine, which is opposite / hypotenuse:

sin(31)=15/x

x=15/sin(31) ≈ 29.1 units

Hope this helps!

4 0
3 years ago
Read 2 more answers
Find the length of the leg. If your answer is not an integer, leave it in simplest radical form.
Afina-wow [57]

both sides will be 12√2

About 45 degrees

8 0
4 years ago
Read 2 more answers
A group of students went on a field trip. There were 3 boys for every 4 girls inthe group. If there were 20 girls, how many stud
Margarita [4]

Answer:

15 boys

Step-by-step explanation:

start by dividing 20 by 4

you get 5

5 times 3 next

now you have 15

7 0
3 years ago
I need help ASAP please
svetoff [14.1K]

Answer: 23

Step-by-step explanation:

6 0
3 years ago
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