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Genrish500 [490]
3 years ago
15

is the relationship between the amount of the orange juice concentrate c and the amount of water w proportional? Explain. Zoe us

ed 3:7 juice concentrate yesterday. and 14 ounces of water in the juice yesterday. Today she wants to make twice as much orange juice.
Mathematics
2 answers:
gregori [183]3 years ago
8 0

Answer:

B.12 Ounces

Step-by-step explanation:

cluponka [151]3 years ago
3 0

Answer:  

B.12 ounces

Step-by-step explanation:

step 1

Find out the ounces of orange juice concentrate used yesterday

Let

x ----> ounces of orange juice concentrate used yesterday

y ---> ounces of water used yesterday

we know

that

----> equation A

----> equation B

substitute equation B in equation A

solve for x

step 2

today she wants to make twice as much orange juice.

To find out how much orange juice concentrate she needs, multiply the ounces of orange juice concentrate used yesterday by 2

so

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What is volume, and how is it measured?
Lelu [443]

Answer:

Volume is the amount of space taken up by an object, while capacity is the measure of an object's ability to hold a substance, like a solid, a liquid or a gas.

Step-by-step explanation:

Volume is measured in cubic units, while capacity can be measured in almost every other unit, including liters, gallons, pounds, etc.

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2 years ago
An investment account plays 3.7% annual interest compound weekly. If $370 is invested in this account, what will be the balance
MAXImum [283]

Answer: 358

Explanation:  370 - 12 = 358

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2 years ago
A survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries,
Andru [333]

Answer:

A. Null and alternative hypothesis:

H_0: \mu_d=0\\\\H_a:\mu_d\neq 0

B. Yes. At a significance level of 0.05, there is enough evidence to support the claim that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

P-value = 0.00002

C. As the difference is calculated as (population 1 − population 2), being population 1: groceries and population 2: dinning out, and knowing there is evidence that the true mean difference is positive, we can say that the groceries annual credit card charge is higher than dinning out annual credit card charge.

The point estimate is the sample mean difference d=$840.

The 95% confidence interval for the mean difference between the population means is (490, 1190).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

Then, the null and alternative hypothesis are:

H_0: \mu_d=0\\\\H_a:\mu_d\neq 0

The significance level is 0.05.

The sample has a size n=42.

The sample mean is M=840.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=1123.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{1123}{\sqrt{42}}=173.2827

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{840-0}{173.2827}=\dfrac{840}{173.2827}=4.848

The degrees of freedom for this sample size are:

df=n-1=42-1=41

This test is a two-tailed test, with 41 degrees of freedom and t=4.848, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=2\cdot P(t>4.848)=0.00002

As the P-value (0.00002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

We have to calculate a 95% confidence interval for the mean difference.

The t-value for a 95% confidence interval and 41 degrees of freedom is t=2.02.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.02 \cdot 173.283=350

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 840-350=490\\\\UL=M+t \cdot s_M = 840+350=1190

The 95% confidence interval for the mean difference is (490, 1190).

7 0
2 years ago
Pls help me on this!
salantis [7]

Answer:

The answer is A

Step-by-step explanation:

You would measure earth's mass is kg and not in g , mg or mcg

5 0
3 years ago
When a barrel is 30% empty it
blondinia [14]

Answer:

it is 70% full

Step-by-step explanation:

When it is 30 % empty it means it is 70% full

0.7x=0.3x+30

0.7x-0.3x=30

5 0
2 years ago
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