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3 years ago

Graph: f(x) = x + 3

Mathematics

1 answer:

Oduvanchick [21]3 years ago

6 0

Answer:2 units to the right and 4 units down

Step-by-step explanation:

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Negative three times a number plus four is no more than the number minus 8

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Answer:

-3n+4< (or equal to) n-8

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3 years ago

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I am a polygon that connects with the bases of a polyhedron

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It is a pyramid. a polygon meets with a polyhedron and make a pyramid

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Mrs. McDonald's students have been working very hard during class, completing all class work and homework, and even attending tu

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(13+83+85+87+90+91+93+97+98+99+100+100):12= 85,33

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3 years ago

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year

puteri [66]

Answer:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$

Step-by-step explanation:

information given

$\bar X=10.6$ represent the sample mean

$\sigma=4.1$ represent the population standard deviation

$n=45$ sample size

$\mu_o =12$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to test

We want to test if the true mean is less than 12, the system of hypothesis would be:

Null hypothesis: $\mu \geq 10$

Alternative hypothesis: $\mu < 10$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing the info given we got:

We can replace in formula (1) the info given like this:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$

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4 years ago

A pool in the shape of a rectangle prism is being filled with water. The length and width is 24 feet and 15 feet. If the hight o

hram777 [196]

Check the picture below.

$\textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=24\\ w=15\\ h=1\frac{1}{3} \end{cases}\implies V=(24)(15)(1\frac{1}{3})\implies \stackrel{in~ft^3}{V}=(24)(15)(\frac{4}{3}) \\\\\\ \stackrel{\textit{converting all feet to inches}}{\stackrel{in~in^3}{V}=(24\cdot 12)(15\cdot 12)(\frac{4}{3}\cdot 12)}\implies V=(288)(180)(16)\implies V=\stackrel{in^3}{829440}$

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2 years ago