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3 years ago

Solve for x A) 0.9 B) 160 C) 10 D) 1.1

Mathematics

1 answer:

Alex777 [14]3 years ago

3 0

Answer:

A) 0.9

Step-by-step explanation:

Since these chords are perpendicular, we know that the proportion of each length is equal. Thus 3/40 = x/12, which we can solve to find x = 0.9

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Quadrilateral A'B'C'D' is a dilation of quadrilateral ABCD about point P Is this dilation a reduction or an enlargement? O reduc

Mama L [17]

Answer: reduction

Step-by-step explanation:

ABCD-> 'ABCD

its bc 'ABCD got smaller compared to ABCD

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3 years ago

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How do you do systems of two equations? Problem: y=-3x+4, y=3x-2

juin [17]

I assume you are trying to solve for each variable. if thats the case you want to use one equation to solve for y and then plug the y value into the next variable
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3 years ago

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

Rick had 6 meters 63 centimeters of wire in his toolshed. He bought 2 meters 24 centimeters more wire and put this in his shed.

Nookie1986 [14]

Answer:

543 centimeters or 5 meters 43 centimeters

Step-by-step explanation:

663+224=887

887-344=543

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3 years ago

George said if 2 and 4 are factors of a number, then 8 is a factor of the whole number. is he correct explain

Mamont248 [21]

He is correct and incorrect. 2 and 4 can create factors but they can also be factors of other numbers. So 8 can be a factor of bigger whole numbers and can also have it own smaller factors.

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3 years ago