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2 years ago

A cube has volume 1200 cubic inches. Write the edge length of the cube as a power.

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

8 0

1200 is the domain the answer is times the domain

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How do you graph y=-1.5<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20" id="TexFormula1" title=" x^{2} " alt=" x^{2} " align

lorasvet [3.4K]

$y=-1.5 x^{2} +6 \\ \\ x=-3 \Rightarrow y=-1.5*(-3)^2+6 =-1.5*9+6=-13.5+6=-7.5\\ \\x=-2 \Rightarrow y=-1.5*(-2)^2+6 =-1.5*4+6=-6+6=0\\ \\x=-1 \Rightarrow y=-1.5*(-1)^2+6 =-1.5*1+6=-1.5+6=-4.5\\ \\x=0 \Rightarrow y=-1.5*0^2+6 =6$

$x=1 \Rightarrow y=-1.5*(1)^2+6 =-1.5+6=-4.5\\ \\ x= 2 \Rightarrow y=-1.5*2^2+6 =-1.5*4+6=-6+6=0\\ \\x=3 \Rightarrow y=-1.5*3^2+6 =-1.5*9+6=-13.5+6=-7.5$

6 0

3 years ago

When do we flip an inequality?

tatuchka [14]

Answer:

When multiplying and dividing it by a negative

Step-by-step explanation:

4 0

3 years ago

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According to your online content assignment, a good schedule keeps a student from:

seraphim [82]

Answer:

Step-by-step explanation:

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3 years ago

Use the null hypothesis H0 : μ = 98.6, alternative hypothesis Ha: μ < 98.6, and level of significance α = 0.05. 98 99.6 97.8

andrezito [222]

Answer:

The t-score is -1.8432

Step-by-step explanation:

We are given the following in the question:

98, 99.6, 97.8, 97.6, 98.7, 98.4, 98.9, 97.1, 99.2, 97.4, 99.1, 96.9, 98.8, 99.9, 96.8, 97, 98.7, 97.6, 98.7, 98.2

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.

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

$Mean =\displaystyle\frac{1964.4}{20} = 98.22$

Sum of squares of differences = 16.152

$s = \sqrt{\dfrac{16.152}{49}} = 0.922$

Population mean, μ = 98.6

Sample mean, $\bar{x}$ = 98.22

Sample size, n = 20

Sample standard deviation, s = 0.922

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 98.6\\H_A: \mu < 98.6$

Formula:

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

Putting all the values, we have

$t_{stat} = \displaystyle\frac{98.22 - 98.6}{\frac{0.922}{\sqrt{20}} } = -1.8432$

The t-score is -1.8432

7 0

2 years ago

Can someone help me solve this question please?

Snowcat [4.5K]

To find the population after a year, you can multiply 4.5x10⁸ by 1.05, as it increases by 5% per year (1.05=1+5%). To find the population after five years, you have to multiply 4.5x10⁸ by 1.05 five times.

4.5x10⁸(1.05)⁵

=574326703.125

Since you can't have a decimal amount of people, you round this number to 574326703.

Therefore, the population after five years is going to be about 574326703.

7 0

2 years ago