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Margarita [4]
3 years ago
13

The height of a cone-shaped container is 18 centimeters and its radius is 7 centimeters. Meg fills the container completely with

honey. Every day Meg uses 21 cubic centimeters of honey from the container to make honey cookies. After how many days will the container be completely empty? Round your answer to the nearest whole number. (Use π = 3.14.)
Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer:

44

Step-by-step explanation:

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The solution to an inequality is graphed on the number line.
Valentin [98]

The correct answer is option B which is {x | x ≤ 4.5}

<h3>What is a number line?</h3>

A number line is a representation of a graduated straight line used to represent real numbers in introductory mathematics.

Because the arrow is pointing to the left, the answer to the solution set needs to be less than the number the dot is on.

A solid dot on a number means that that number is included in the solution set.

In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.

Therefore the correct answer is option B which is {x | x ≤ 4.5}

To know more about number lines follow

brainly.com/question/4727909

#SPJ1

6 0
2 years ago
A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are list
Kitty [74]

Answer:

It does not appear ​that, as a​ group, the students are reasonably good at estimating one minute.

Step-by-step explanation:

We are given the following data in the question:

75, 88, 51, 73, 49, 31, 69, 74, 72, 59, 72, 81, 99, 101, 73

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1067}{15} = 71.13

Sum of squares of differences = 4739.733

S.D = \sqrt{\frac{4739.733}{14}} = 18.39

Population mean, μ = 60 minutes

Sample mean, \bar{x} = 71.13 minutes

Sample size, n = 15

Alpha, α = 0.10

Sample standard deviation, s = 18.39 minutes

First, we design the null and the alternate hypothesis

H_{0}: \mu = 60\text{ minutes}\\H_A: \mu \neq 60\text{ minutes}

We use Two-tailed t test to perform this hypothesis.

Formula:

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

Putting all the values, we have

t_{stat} = \displaystyle\frac{71.13 - 60}{\frac{18.39}{\sqrt{15}} } = 2.34

Calculating the p-value from the table, we have,

P-value = 0.034354

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, we conclude that it does not appear ​that, as a​ group, the students are reasonably good at estimating one minute.

7 0
3 years ago
Geoff purchased a life annuity for $4,800 that will provide him $100 monthly payments for as long as he lives. Based on IRS tabl
Anestetic [448]

Answer:George will receive $1200

first $100 payment which will included in his gross income.

Step-by-step explanation:

His gross income will be $100 per months multiple by 12months which will be his first $100 payment.

$100× 12=$1200

3 0
3 years ago
What would be an equation that gives you the 3 consecutive numbers of 72
Vera_Pavlovna [14]
I'm not sure what you mean by "the 3 consecutive numbers of 72".

Do you mean 3 consecutive numbers that ADD UP TO 72 ?

If that's what you want, then you can use this equation:

The middle number . . . . . x
The smallest number . . . . (x-1)
The biggest number . . . . . (x+1)

The equation:        (x-1)   +   (x)   +   (x+1)   =   72 .

Boil that equation down, and you discover that  x=24 .

So the 3 numbers are  23,  24,  and  25 .
___________________________________

If that's not what your question means, then this answer
isn't what you need, and you should completely ignore it.
8 0
4 years ago
Did i choose the right answer?
zloy xaker [14]
I got 2 over 1/4 but i'm not sure if mine is correct.

8 0
3 years ago
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