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3 years ago

10

Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c

cakes using f cups of flour.
Which of these equations represent the relationship between c and f? Highlight the correct answer.

1 answer:

lidiya [134]3 years ago

7 0

Answer:

f/c

Step-by-step explanation:

it is bcs 913/4 and the same concept is used

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Based on historical data, your manager believes that 37% of the company's orders come from first-time customers. A random sample

fomenos

Answer:

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

37% of the company's orders come from first-time customers.

This means that $p = 0.37$

A random sample of 225 orders will be used to estimate the proportion of first-time-customers.

This means that $n = 225$

Mean and standard deviation:

$\mu = p = 0.37$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.37*0.63}{225}} = 0.0322$

What is the probability that the sample proportion is between 0.26 and 0.38?

This is the pvalue of Z when X = 0.38 subtracted by the pvalue of Z when X = 0.26.

X = 0.38

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

By the Central Limit Theorem

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

$Z = \frac{0.38 - 0.37}{0.0322}$

$Z = 0.31$

$Z = 0.31$ has a pvalue of 0.6217

X = 0.26

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

$Z = \frac{0.26 - 0.37}{0.0322}$

$Z = -3.42$

$Z = -3.42$ has a pvalue of 0.0003

0.6217 - 0.0003 = 0.6214

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

5 0

3 years ago

100 points , I need to know the answers to this

ElenaW [278]

Answer: number 3 is 10 and number 4 is 3.16

Step-by-step explanation:

its just finding the square roots and doing the operation that follows

8 0

3 years ago

Please do a and b and explain

Blizzard [7]

This is a decay problem,

The equation is written as start value x (1 - rate)^tike

Using the information given in the problem:

a) Total = 120(1-0.12)^Hours

b) Replace hours with 19 and solve:

Total = 120(1-0.12)^19

Total = 120(0.88)^19

Total = 10.57674 mg

Round the answer as needed.

4 0

3 years ago

What is the name for facts in subtraction problems

12345 [234]

The name for facts in subtraction problems: Fact Family is a group of math facts that uses the same numbers, for addition, and subtraction.

Answer: =====> I believe is, Subtraction Fact Strategies, or Fact Families.

1. ). Strategy: ===> Think Addition:

1.). Subtraction Description ====> Using the known addition fact to solve the subtraction problem. Ex. 13-5, think what goes with 5 to make 13?

2.). Strategy: ===> Fact Families

2.). Subtraction Description ====> Think of the fact family to recall the missing number.

3.). Strategy ===> Build Up Through

3.). Subtraction Description ===> Ten Used when either the subtrahend or minuend is 8 or 9. Ex: 14-9: start with 9 and work up through 10: 9 and 1 is 10 and 4 more makes 5.

4.). Strategy ==> Back Down Through Ten

4.). Subtraction Description: ==> Working backward with 10 as a “bridge”. Ex. 15-6, Take 5 away from 15 to get to ten. Then take one more away, leaving 9.

Hope that helps!!! : )

6 0

3 years ago

Keenan currently does a total of 8 pushups each day. He plans to increase the number of pushups he does each day by 2 pushups un

Viefleur [7K]

Answer:

12

Step-by-step explanation:

Given that

Current count of pushups = 8

Number of increase in pushups each day = 2

The desired pushup goal on daily basis = 30

Days require = x= ?

as we can conclude the number of pushups would increase by following sequence

8, 10, 12, 14, 16, ......30

Now as we can be the number of pushups by a constant number each day it means this sequence is arithmetic.

First term of our sequence is X1 and the final term is Xn, and the difference between two consecutive terms (Common Difference) is 2.

So

X1 = 8

Xn = 30

d = 2

Using the formula of nth term for arithmetic sequence

Xn = X1 + (n-1)d

Substituting the values

30 = 8 + (n-1)2

30-8 = (n-1)2

22 = 2n -2

22+2 = 2n

2n = 24

n = 24/2

n = 12

So, it means on the 12th day he will have to do 30 pushups if he starts from 8 and increase 2 pushups each day.

5 0

4 years ago

Read 2 more answers