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2 years ago

Its literally 15 points

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

3 0

Answer:

There are many areas but

Step-by-step explanation:

Area of square is L × W

where you multiply both length × width you get the answers squared

Area of a cube is L × W × H

this is where you multiply all length × width × height and get the answer cube

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Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify t

laiz [17]

Answer:

There is sufficient evidence to conclude that child booster seats meet the specific requirement.

Step-by-step explanation:

Sample: 697, 759, 1266, 621, 569, 432

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.

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

$Mean =\displaystyle\frac{4344}{6} = 724$

Sum of squares of differences = 415616

$S.D = \sqrt{\frac{415616}{5}} = 288.31$

We are given the following in the question:

Population mean, μ = 1000 hic

Sample mean, $\bar{x}$ = 724

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = 288.31

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1000\text{ hic}\\H_A: \mu < 1000\text{ hic}$

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

Formula:

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

Putting all the values, we have

$t_{stat} = \displaystyle\frac{724 - 1000}{\frac{288.31}{\sqrt{6}} } = -2.344$

Now, $t_{critical} \text{ at 0.05 level of significance, 5 degree of freedom } = -2.015$

Calculation the p-value from table,

P-value = 0.033

Since,

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.

We conclude that the measurement is less than 1000 hic.

Thus, there is sufficient evidence to conclude that child booster seats meet the specific requirement.

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4 years ago

Anyone good at equation of straight lines? (Addmaths) help me!

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Y = mx + c

where:

m is the gradient

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3 years ago

If you place the north pole of a magnet near the north pole of another magnet, what do you except to happen

slavikrds [6]

They will repel each other

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3 years ago

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30 points if you answer this question and please show work !!

worty [1.4K]

I don't know what is between f(x) and g(x), so (for now) there are two posible answers:

1. $f(x)g(x) = f(x)\cdot g(x)$ - function multiplication:

$f(x)g(x)=(2x-3)\cdot(3x+8)=2x\cdot3x+2x\cdot8-3\cdot3x-3\cdot8=\\\\=6x^2+16x-9x-24=\boxed{6x^2+7x-24}$

2. $f(x)g(x)=f(x)\circ g(x)$ - function composition:

$f(x)g(x) = f(x)\circ g(x) = f\big(g(x)\big)=2(3x+8)-3=2\cdot3x+2\cdot8-3=\\\\=6x+16-3=\boxed{6x+13}$

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3 years ago

What is absolute value and why is it always positive?

xxMikexx [17]

Answer:

Step-by-step explanation:

An absolute value is the distance a number is from 0 on the number line. So, regardless if it is a negative or a positive number, the distance from that number to 0 will always be positive. For example, -5 is 5 units away from 0, and 5 is also 5 units from zero. They have the same absolute value, even though one is negative and the other is positive.

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3 years ago

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