Mary has a bag with 80 pieces of candy. She gives ¼ of her candy to John and 10% to Lisa. How much more candy did she give to John then Lisa?

Answers

Answer 1
Answer:

Answer:

12 pieces

Step-by-step explanation:

80 pieces of candy

1/4 is 25% or 20 pieces of candy

10% would be 8 pieces of candy

subtract the two. Your answer is 12

Answer 2
Answer:

Answer:

He had 14 more pieces

Step-by-step explanation:

So 80/4 is 20 pieces. So we know John has 20. Now she has 60 left since 80-20 is 60. Now 10 percent of 60 would be 6 pieces. We can subtract 6 from 20 to find out how many more pieces John had. 20-6 is 14. So John had 14 more than Lisa


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A psychologist designed a new aptitude exam to measure logical and analytical thinking abilities. The time allowed for the exam is 60 minutes, and the exam is made up of 35 multiple choice questions. The psychologist expects that an examinee will spend an average of 1.66 minutes answering each question, with a standard deviation of 0.73 minutes. What proportion of examinees will complete the exam on time? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places

Answers

Answer:

52.79% of examinees will complete the exam on time.

Step-by-step explanation:

Problems of normally distributed samples can be 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 problem, we have that:

There are 35 questions. The psychologist expects that an examinee will spend an average of 1.66 minutes answering each question, with a standard deviation of 0.73 minutes. This means that the mean and the standard deviation for the time to complete the test is \mu = 35*1.66 = 58.1, \sigma = 35*0.73 = 25.55.

What proportion of examinees will complete the exam on time?

The time allowed for the exam is 60 minutes. So this proportion is the pvalue of Z when X = 60. So:

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

Z = (60 - 58.1)/(25.55)

Z = 0.07

Z = 0.07 has a pvalue of 0.5279.

This means that 52.79% of examinees will complete the exam on time.

The administration of a large university is interested in learning about the types of wellness programs that would interest its employees. To do this, they plan to survey a random sample of employees. Under consideration are several plans for selecting the sample. Which of the following sampling strategies is the stratified sampling?A. Simple Random Sampling.
B. Stratified Sampling.
C. Cluster Sampling.
D. Systematic Sampling.
E. Convenience Sampling.

Answers

Answer:

a. There are five categories of employees (administration faculty, professional staff, clerical and maintenance). Randomly select ten individuals from each category.

Completed question;

The administration of a large university is interested in learning about the types of wellness programs that would interest its employees. To do this, they plan to survey a random sample of employees. Under consideration are several plans for selecting the sample. Which of the following sampling strategies is the stratified sampling?

a. There are five categories of employees (administration faculty, professional staff, clerical and maintenance). Randomly select ten individuals from each category.

b. Fach employee has an ID number. Randomly select 50 numbers.

c. Randomly select a school within the university (eg, Business School) and survey all of the individuals (administration, faculty, professional staff, clerical and maintenance) who work in that school.

d. The HR Department has an alphabetized list of newly hired employees (hired within the last five years). After starting the process by randomly selecting an employee from the list, then every 5th name is chosen to be included in the sample.

Step-by-step explanation:

Stratified sampling is a sampling strategy from a population that involves sampling by dividing or partitioning the population into smaller subgroups.

So the correct answer is "There are five categories of employees (administration faculty, professional staff, clerical and maintenance). Randomly select ten individuals from each category." because it involves dividing the population into subgroups.

Which is bigger 17 qt or 4 gal

Answers

The bigger quantity out of the given amounts is required.

17 qt is bigger than 4 gal.

Units

The given amounts are 17 qt and 4 gal

Let us convert quarts to gallons so that we can compare the same units.

The conversion factor is

1\ \text{qt}=(1)/(4)\ \text{gal}

For 17 qt

17\ \text{qt}=(17)/(4)=4.25\ \text{gal}

So, the quantities are 4.25 gal and 4 gal.

4.25 gal is greater than 4 gal.

Learn more about units:

brainly.com/question/4158962

~Hello there!
~1 gallon is 4 quarts. 
~4 gallons is 16 quarts.
~So, 17 quarts would be bigger than 4 gallons. 
~I hoped this helped and have a great day!

Find the rectangular prism with the given volume and height
V=96ft., h=8ft

Answers

V = l x w x h
96 = l x w x 8
divide both sides by 8
12 = l x w

the rectangular prisms other dimensions would be any positive combination of numbers that multiplies to 12. 

WUse the distributive property to create true equations.
4(2 + 6) = blank
+ blank
35 - 21 =blank
(
5-3)
Due soon help!!!

Answers

1. 8+24
2. can’t quite understand the format ?

What is 3 divided by 80

Answers

0.0375 did you mean 80÷3 if so 26.6