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Sedbober [7]
3 years ago
9

Bob opened a savings account with $115. He now saves$35 a month(x). Write an equation representing how much money (y) Bob has in

his savings account.
Mathematics
2 answers:
disa [49]3 years ago
5 0

Answer:

y=115+35x

Step-by-step explanation:

Kamila [148]3 years ago
4 0
Y=115+35x I hope this helped
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An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then li
Dahasolnce [82]

Answer and explanation:

Probability = number of favorable outcomes/ total number of outcomes

Since all glasses labelled C, D, and P are all same Cola

Probability that C is ranked first = 1/3

Probability that D is ranked last = 1/3

4 0
3 years ago
Juan is 4 feet tall. Marina is 52 inches tall.who is taller? explain your awnser.
mariarad [96]
Marina is taller because since Juan is 4 feet, he is 48 inches tall and Marina is 52 inches tall so Marina is taller than Juan.
6 0
3 years ago
Read 2 more answers
Fourteen out of 20 teens said they eat breakfast every morning what is a reasonable prediction for the number of teens out of 12
Oksi-84 [34.3K]

Answer:

896

Step-by-step explanation:

14 of 20 teens eats breakfast every morning.

The percentage of those who eat breakfast every morning

= 14/20 x 100%

= 0.7 x 100%

= 70%

So, 70% of 20 teens eat breakfast every morning.

The reasonable prediction for the number of teens that eats breakfast every morning from 1280 teens will be 70% of 1280.

70/100 x 1280

0.7 x 1280

896

The prediction would be 896 out of 1280 teens eats breakfast every morning

8 0
3 years ago
Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on pa
Debora [2.8K]

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

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 normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, 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 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.

Mean 8.7% and standard deviation 20.2%.

This means that \mu = 8.7, \sigma = 20.2

40 years:

This means that n = 40, s = \frac{20.2}{\sqrt{40}}

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

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

By the Central Limit Theorem

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

Z = \frac{13 - 8.7}{\frac{20.2}{\sqrt{40}}}

Z = 1.35

Z = 1.35 has a pvalue of 0.9115

1 - 0.9115 = 0.0885

0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

(b) What is the probability that the mean return will be less than 8%?

This is the pvalue of Z when X = 8. So

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

Z = \frac{8 - 8.7}{\frac{20.2}{\sqrt{40}}}

Z = -0.22

Z = -0.22 has a pvalue of 0.4129

0.4129 = 41.29% probability that the mean return will be less than 8%

8 0
2 years ago
ms. Omar runs the school tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are
irina1246 [14]

Answer:

a=\frac{5}{3}b\\\\or\\\\3a=5b

Step-by-step explanation:

let a be the number of tennis balls.

let b be the number of tennis rackets.

We write determine the ratio of balls to rackets by dividing the number of balls by the number of rackets:

\frac{a}{b}=\frac{5}3}\\\\a=\frac{5}{3}b

For every one ball, there 5 thirds of a racket.

We plot this function on a graph to visualize our model;

4 0
3 years ago
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