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Volgvan
3 years ago
7

HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

!

Mathematics
1 answer:
USPshnik [31]3 years ago
7 0

Answer:

65mph

Step-by-step explanation:

Add 100 and 30 together then divide by 2. You get 65 miles per hour.

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A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa
Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

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

In this problem, we have that:

\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

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

By the Central Limit Theorem

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

0.643 = \frac{X - 220}{2.1974}

X - 220 = 0.643*2.1974

X = 221.41

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

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

-0.643 = \frac{X - 220}{2.1974}

X - 220 = -0.643*2.1974

X = 218.59

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0
3 years ago
Anwen walks at an average
Roman55 [17]

Answer:

7 km

Step-by-step explanation:

2 hours 20 minutes is 2 and 1/3 hours. 3 * 2 and 1/3 = 3 * 7/3 = 7km.

4 0
3 years ago
Read 2 more answers
What is the solution to the equation?
Oxana [17]

ANSWER

(C) d=1

EXPLANATION

The given equation is

\frac{ - 3d}{ {d}^{2} - 2d - 8} +  \frac{3}{d - 4}  =  \frac{ - 2}{d + 2}

Factor the first fraction to get,

\frac{ - 3d}{(d + 2)(d - 4)} +  \frac{3}{d - 4}  =  \frac{ - 2}{d + 2}

Multiply through by (d+2)(d-4)

- 3d + 3(d + 2) =  - 2(d - 4)

Expand:

- 3d + 3d + 6 =  - 2d + 8

6 =  - 2d + 8

6  - 8=  - 2d

- 2 =  - 2d

divide both sides by -2

d = 1

7 0
3 years ago
Read 2 more answers
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how man
tiny-mole [99]

Answer:

77 boxes

Step-by-step explanation:

1000/13= 76.9230769

They can't sell part of a box and a little extra money never hurt any one.

4 0
3 years ago
Read 2 more answers
line DE contains the points D(-1,-4) and E (3,3). Line FG contains the point F (-3,3).Which set of coordinates for point G makes
GalinKa [24]
The answer would be (-3,-7)
6 0
3 years ago
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