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AlexFokin [52]
3 years ago
15

According to Moebs Services Inc., an individual checking account at U. S. community banks costs these banks between $175 and $20

0 per year. Suppose that the average annual cost of all such checking accounts at U. S. community banks is $190 with a standard deviation of $20. Find the probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is
Mathematics
1 answer:
Anika [276]3 years ago
5 0

Answer:

0.1855

Step-by-step explanation:

Assuming normal distribution, Sampling mean = $190

Sampling standard deviation = \sigma /\sqrt{n} = 20 /\sqrt{100} = $2

a) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is less than $187 = P(X < 187)

= P(Z < (187 - 190)/2)

= P(Z < -1.5)

= 0.0668

b) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is more than $193.5

= 1 - P(X < 193.5)

= 1 - P(Z < (193.5 - 190)/2)

= 1 - P(Z < 1.75)

= 1- 0.9599

= 0.0401

c) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is between $191.70 to 194.5 = P(X < 194.5) - P(X <191.7)

= P(Z < (194.5 - 190)/2) - P(Z < (191.7-190)/2)

= P(Z < 2.25) - P(Z < 0.85)

= 0.9878 - 0.8023

= 0.1855

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Alex777 [14]
<span>The Volume of a Cylinder  =   </span><span>π <span>• r² • height<span>
</span></span></span>radius = 13.5 feet
volume = PI * 13.5^2 * 4 feet (the problem states it is to be filled to a depth of 4 feet)
volume = PI * 182.25 * 4
volume = <span> <span> <span> 2,290 cubic feet</span></span></span>
The hose delivers 80 <span>cubic feet per hour so it will take:
</span>2,290 / 80 = <span> <span> <span> 28.625 </span> </span> </span> hours
**************************************************************************
The volume of the pool is:
volume = PI * 182.25 * 4.5
= <span> <span> <span> 2,576.</span></span></span>5 cubic feet


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3 years ago
Using the solubility curve, choose all of the statements that are correct.
irinina [24]

Answer:

See explanation below

Step-by-step explanation:

According to the solubility curve attached, let's analyze each sentence to see which one is correct:

<u>"Solubility of NaCl is least affected by temperature"</u>

True. as you can see in the curve, solubility of NaCl remains almost constant at any value of temperature, so in this case, it does not matter the temperature, the NaCl solubility will be the same.

<u>"completely dissolve 60 g of KBr in 100 g of water at 20 °C"</u>

True. As you can see in the graph, solubility of KBr begins at 60 g, so in 20 °C we have something dissolved there. Actually you have like 70 g dissolved there, so, this is true.

<u>"The solubility of KNO3 is the least affected by changes in temperature"</u>

False. The curve for KNO3 is exponencial, so, changes in temperature do actually affect the solubility.

<u>"100 g of KBr will dissolve completely in 100 g of water at 75 °C"</u>

False. According to the curve, 100 g dissolve when we reach more than 100 °C. At 75 °C only about 85 g of KBr is dissolved.

<u>"if you mix 120 g of NaClO3 in 100 g of water at 10 °C, approximately 30 g will not dissolve"</u>

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3 years ago
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Kay [80]

Answer:

Yes

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Alonzo loaned jeremy $325.18 for 1 year at a simple interest rate of 12 5/8%. how much interest will jeremy have to pay?
gayaneshka [121]

Jeremy will pay $41.05 interest.

We know that, Interest = PRT/100

where,

P = principal

R = rate

T = time

For given question, principal (P) = $325.18

interest rate R = 12 5/8%

                        = 12.625%

And period T = 1 year

We need to find the interest.

⇒ Interest = PRT/100

⇒ Interest = (325.18 × 12.625 × 1) / 100

⇒ Interest = 4105.3975 / 100

⇒ Interest = $41.05

Therefore, Jeremy will pay $41.05 interest.

Learn more about the interest here:

brainly.com/question/15052754

#SPJ4

7 0
1 year ago
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