MATHEMATICS COLLEGE

A grandmother is 12 times as old as her grandson, and the grandson is 55 years younger than his grandmother. How old is each now?

Answers

Answer 1
Answer:

Answer:

5 & 60

Step-by-step explanation:

s * 12 = g

s + 55 = g

12s = s + 55

11s = 55

s = 5

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Two cities are 3450 miles apart. A plane leaves one of​ them, traveling towards the other at an average speed of 310 miles per hour. At the same time a plane leaves the​ other, traveling towards the​ first, at an average speed of 380 miles per hour. How long will it take them to​ meet?

Answers

Answer:

5 hours.

Step-by-step explanation:

let they meet after t hours.

310t+380t=3450

690t=3450

69t=345

t=345/69=5

Plz help i dont understand and if u can help i will mark brainliest!!​

Answers

Answer:

Let fertilizer be F

and peat moss be P

since F is proportional to P

F = kP

where, k = constant of proportionality

k = F/P

putting in the values,

k = (3/4) /12

k = 3/4 * 1/12

k = 1/16

Therefore the constant of proportionality is 1/16.

You need 2.5 pounds of potatoes. If each potato weighs 5 ounces, how many potatoes will you need?

Answers

Answer:

40 potatoes.

Step-by-step explanation:

16 ounces make a pound, so you multiply that by 2.5 and you get 40.

Final answer:

You need 8 potatoes to total 2.5 pounds, considering each potato weighs 5 ounces.

Explanation:

To solve this problem, you first need to understand that 1 pound is equal to 16 ounces. So, 2.5 pounds would be 40 ounces (16 ounces/pound x 2.5 pounds). If one potato weighs 5 ounces, you would divide 40 (total ounces needed) by 5 (ounces per potato) to find the number of potatoes needed. Thus, you will need 8 potatoes to get approximately 2.5 pounds.

Learn more about Weight Conversion here:

brainly.com/question/32919286

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Over three days I earn 2568. On the first day I made twice as much as the second day. On the third day I made three times as much as the second day. How much did I earn on the first day.

Answers

Answer:

I earned $856 on the first day

Step-by-step explanation:

Let's call

x = earning on the second day

2x = earnings on the first day

3x = earnings on the third day

The total earnings are $2568, thus

x + 2x + 3x = 2568

Simplifying:

6x = 2568

Dividing by 6:

x = 2568/6

x = 428

I earned $428 on the second day.

2x = 2*$428 = $856

I earned $856 on the first day

Writing on the SAT Exam It has been found that scores on the Writing portion of the SAT (Scholastic Aptitude Test) exam are normally distributed with mean 484 and standard deviation 115. Use the normal distribution to answer the following questions. Required:
a. What is the estimated percentile for a student who scores 425 on Writing?
b. What is the approximate score for a student who is at the 87th percentile for Writing?

Answers

Answer:

a) The estimated percentile for a student who scores 425 on Writing is the 30.5th percentile.

b) The approximate score for a student who is at the 87th percentile for Writing is 613.5.

Step-by-step explanation:

Problems of normally distributed distributions 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 = (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 question, we have that:

\mu = 484, \sigma = 115

a. What is the estimated percentile for a student who scores 425 on Writing?

This is the pvalue of Z when X = 425. So

Z = (X - \mu)/(\sigma)

Z = (425 - 484)/(115)

Z = -0.51

Z = -0.51 has a pvalue of 0.3050.

The estimated percentile for a student who scores 425 on Writing is the 30.5th percentile.

b. What is the approximate score for a student who is at the 87th percentile for Writing?

We have to find X when Z has a pvalue of 0.87. So X for Z = 1.126.

Z = (X - \mu)/(\sigma)

1.126 = (X - 484)/(115)

X - 484 = 1.126*115

X = 613.5

The approximate score for a student who is at the 87th percentile for Writing is 613.5.

In an effort to make children’s toys safer and more tamperproof, toy packaging has become cumbersome for parents to remove in many cases. Accordingly, the director of marketing at Toys4Tots, a large toy manufacturer, wants to evaluate the effectiveness of a new packaging design that engineers claim will reduce customer complaints by more than 10 percentage points. Customer satisfaction surveys were sent to 220 parents who registered toys packaged under the old design and 220 parents who registered toys packaged under the new design. Of these, 81 parents expressed dissatisfaction with packaging of the old design, and 41 parents expressed dissatisfaction with packaging of the new design.What's the T-Statistic

Answers

what is a t-statistic??

????
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