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4 years ago

11

Eliza is a chef at a restaurant. she is making spaghetti sauce and put 14 tomatoes and 4 onions in the pot. what is the ratio of

tomatoes to onions in the pot?

1 answer:

notka56 [123]4 years ago

7 0

Here,
tomato = 14
onion = 4
then,
ratio of tomato to onion = 14/4
= 7/2

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Assume the general population gets an average of 7 hours of sleep per night. You randomly select 45 college students and survey

tekilochka [14]

Answer:

a) ii. This is a left-tailed test.

b) -1.59

c) -1.301

d) i. reject null hypothesis

e) Option i) The data supports the claim that college students get less sleep than the general population.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 7 hours

Sample mean, $\bar{x}$ = 6.87 hours

Sample size, n = 45

Alpha, α = 0.10

Sample standard deviation, s = 0.55 hours

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 7\text{ hours}\\H_A: \mu < 7\text{ hours}$

a) We use one-tailed(left) t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{6.87 - 7}{\frac{0.55}{\sqrt{45}} } =-1.59$

c) Now,

$t_{critical} \text{ at 0.10 level of significance, 44 degree of freedom } = -1.301$

Since,

$t_{stat} < t_{critical}$

d) We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis and conclude that mean number of hours of sleep for all college students is less than 7 hours.

e) Option i) The data supports the claim that college students get less sleep than the general population.

8 0

3 years ago

PLEASE HELP ASAP!! an onion soup recipe calls for 3 2/3 cups of chopped onions. katrina has already chopped 1 1/3 cups of onions

ivanzaharov [21]

Answer:

$x+1\frac{1}{3}=3\frac{2}{3}$

Step-by-step explanation:

Let the number of cups of onions Katrina still needs to chop = x

She has already chopped the onions = $1\frac{1}{3}$ cups ≈ $\frac{4}{3}$ cups

So total amount of chopped onions = $(x+\frac{4}{3})$ cups

Since, onion soup recipe calls for the chopped onions = $3\frac{2}{3}$ cups ≈ $\frac{11}{3}$ cups

Therefore, equation which shows the number of cups of onions to be chopped more will be,

$x+1\frac{1}{3}=3\frac{2}{3}$

We further solve this equation for the value of x,

x = $\frac{11}{3}-\frac{4}{3}$

x = $\frac{(11-4)}{3}$

= $\frac{7}{3}$ cups

≈ $2\frac{1}{3}$ cups

5 0

3 years ago

Do the phrases 6 less a number y and 6 less than a number y mean the same thing? Explain. A. No, they do not both mean the same

Yuri [45]

Answer:

B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.

Step-by-step explanation:

Given

Phrase 1: 6 less a number y

Phrase 2: 6 less than a number y

<em>Mathematically,</em>

Phrase 1 can be represented as follows;

$y - 6$

<em>Mathematically,</em>

Phrase 2 can be represented as follows;

$y - 6$

<em>Since the representation of both phrases are the same, then option B answers the question.</em>

<em></em>

4 0

3 years ago

Robert believes that the lengths 8 in, 13 in, and 20 in will form a triangle. Is he correct?

adell [148]

Answer: I think it’s D

Step-by-step explanation:

it’s because 8^2 + 13^2 equals 233 and when square rooted equals 15.26 not 20 so no.

7 0

3 years ago

A classmate said that line AB and line DC are parallel based on the diagram below. Explain your classmates error.

MatroZZZ [7]

<em><u>Explanation</u></em>:

The only information we have to go on is that ∠AWZ ≅ ∠XYC. However, these are not specific kinds of angles that can prove lines parallel. If we had a pair of alternate interior angles, such as ∠AWZ and ∠WZY, we could say that the lines are parallel. However, we do not have enough information.

3 0

3 years ago