1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kipiarov [429]
2 years ago
13

The library has 3,121 magazines. Each bin holds 73 magazines. How many magazines will be in the partially filled bin?

Mathematics
2 answers:
katen-ka-za [31]2 years ago
4 0

Answer: 55 magazines will be in the partially filled bin.

Step-by-step explanation:

3,121 / 73 = 42.75, or 42 whole bins.

42 * 73 = 3,066

3,121 - 3,066 = 55

attashe74 [19]2 years ago
3 0

Answer:

55

Step-by-step explanation:

3121/73=42 R55

You might be interested in
A sample size 25 is picked up at random from a population which is normally
Margarita [4]

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

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 of 100 and variance of 36.

This means that \mu = 100, \sigma = \sqrt{36} = 6

Sample of 25:

This means that n = 25, s = \frac{6}{\sqrt{25}} = 1.2

(a) P(X<99)

This is the pvalue of Z when X = 99. So

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

By the Central Limit Theorem

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

Z = \frac{99 - 100}{1.2}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033. So

P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

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

Z = \frac{100 - 100}{1.2}

Z = 0

Z = 0 has a pvalue of 0.5

X = 98

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

Z = \frac{98 - 100}{1.2}

Z = -1.67

Z = -1.67 has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

6 0
2 years ago
Evaluate 5x3 - 21 + 7 when x = -2.
Sliva [168]

Answer:

26

Step-by-step explanation:

5x³ - 21 + 7

x = 2

then:

5x³ - 14

5*2³ -14

5*8 - 14

40 - 14

26

8 0
3 years ago
Read 2 more answers
-y= -2x +5 how do you make variable positive
Anastaziya [24]
Hej!

You would need to multiply both sides by -1

Resulting in...
y=2x-5
7 0
3 years ago
What is the relative minimum of the function?<br><br> Enter your answer in the box.
trapecia [35]

Answer:

-5

Step-by-step explanation:

The minimum is at the vertex.  This is at (1, -5)

The minimum value is -5

5 0
2 years ago
Find the domain and range
Savatey [412]

Answer:

what range

Step-by-step explanation:

range of

ano pong range

7 0
2 years ago
Other questions:
  • What is the factorization of 8x2+13x-6
    11·2 answers
  • What does the graph show
    8·2 answers
  • Each of a sample of four home mortgages is classified as fixed rate (F) or variable rate (V). (Enter your answers as a comma-sep
    9·1 answer
  • Solve −2x2 +3x − 9 = 0. (2 points)
    5·2 answers
  • SOMEONE ANYONE PLEASEE​
    13·2 answers
  • When Mary was born, she weighed 8 pounds. When she was 10 years old, she weighed 10 times as much. How much more did Mary weigh
    12·2 answers
  • What is 3a^9r^-3/-4a-2
    6·1 answer
  • marias mother told her to go to the health food store and buy 10 pounds of apples each bag weighed 5 pounds and contained 15 app
    7·1 answer
  • HELP ASAP PLEASE ! Questions are in the pic
    10·2 answers
  • 81x - 122 = 22 <br> (find x)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!