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Sav [38]
3 years ago
12

The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes

an average of 28 days, with a standard deviation of 7 days (normal distribution), from the time pledges are made until donations are actually received. To better manage cash flow, the director wants to know what the status of pledges looks like by about 40 days. What is the probability that pledges are received within 40 days
Mathematics
1 answer:
Rzqust [24]3 years ago
7 0

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 28, \sigma = 7

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

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

Z = \frac{40 - 28}{7}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

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Given a right triangle with legs a, b and hypotenuse c, solve for b if a= 72 and c= 75
kotykmax [81]

Answer:

The answer is a. 21.

Step-by-step explanation:

We solve this question by using Pythagoras theorem to relate the sides of a right angled triangle.

Here,

Hypotenuse of the given triangle(c)=75

Two sides of right angled triangle are:

a=72

b=?

Then,

for a given right angled triangle abc,

Using Pythagoras theorem,

c=\sqrt{a^{2} +b^{2} }

Squaring on both sides,

c^{2} =a^{2}+b^{2}

or,75^{2}=72^{2}+b^{2}

or, b^{2}=75^{2}-72^{2}

or,b^{2}=5625- 5184

or,b^{2} =441

∴b=21

So, the value of b is obtained to 21 by the use of Pythagoras theorem.

7 0
3 years ago
Plz help me with these two problems I’m having such trouble
igomit [66]
For No. 13 you need to calculate the distance each girl travels and compare to see whose distance is greater. The formula for distance is rate x time or d=rt. The rate is just how fast they consistently go.

Mia
d = r x t
d = 14 x 3/2
d = 21 miles

Chloe
d = r x t
d = 35 x 3/4 (btw 3/4 is just 45/60 simplified)
d = 105/4 = 26 1/4 miles

Final Answer: Chloe traveled further

For No. 14 we will recalculate Mia's distance but replace 1/5 hours with 2 hours because it says she will bike 30 minutes after Chloe had stopped. Afterwards we will compare Mia's new distance with Chloe's old distance.

Mia
d = r x t
d = 14 x 2
d = 28 miles

Final Answer: Yes Mia would be able to catch up to Chloe, and even surpass her in 30 minutes if Chloe stopped.

3 0
3 years ago
What is the number that is 25 units away from -12?
Crazy boy [7]

Answer:

13

Step-by-step explanation:

25 - 12 = 13

6 0
3 years ago
What is the greatest common factor of 18&28
mestny [16]
List the GCF of 18 and 28
18: 1, 2, 3, 6, 9, 18
28: 1, 2, 4, 7, 14, 28
So 2 is the GCF because it is the greatest number that can divide by both numbers
4 0
3 years ago
What is 4/8 divided by 7/8
kifflom [539]

Answer: 4/7


Step-by-step explanation:

4/8 / 4/7

now you do multilpication so,

4x8

over

8x7

32/56 divided by 56/8=

4/7


hope i helped <33



8 0
3 years ago
Read 2 more answers
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