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3 years ago

What is the value of x? Enter your answer in the box. x=

Mathematics

2 answers:

AysviL [449]3 years ago

8 0

X = 10^2 - 6^2
x = /64
x = 8

Leya [2.2K]3 years ago

7 0

We can use the Pythagorean theorum.

6^2 + x^2= 10^2

36 + x^2 = 100

x^2 = 64

x = 8

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What is the slope intercept of 6x-2y=10

Archy [21]

Answer:

y=3x-5

Step-by-step explanation:

slope intercept form: y=mx+b

-2y=-6x+10

2y=6x-10

y=3x-5

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3 years ago

. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of al

Shtirlitz [24]

Answer:

900 sample size

Step-by-step explanation:

To determine the sample size for a proportion, the margin of error formula is used to determine this:

$E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }$

$n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2$

Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, $Z_\frac{\alpha }{2}$ is the z score.

Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5

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3 years ago

What scale factor was applied to the first rectangle to get the resulting image?

madam [21]

Answer:

The scale factor for the resultant rectangle is $\frac{2}{5}$ units.

Step-by-step explanation:

Given two rectangles with sides 3 units and 7.5 units.

We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.

Scale factor is defined as the ratio of corresponding side of given figure to the corresponding side of resulting figure.

That is $\text{Scale factor}=\frac{\text{length of side of given figure}}{\text{length of side of resulting figure}}$

Here, $\text{Scale factor}=\frac{\text{length of side of given rectangle }}{\text{length of side of resulting rectangle}}$

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2 years ago

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Answer:

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2 years ago

According to the empirical (69-95-99.7) rule, if a random variable z has a standard normal distribution, then approximately 95%

Dmitry_Shevchenko [17]

Using z-scores, it is found that the value of z is z = 1.96.

-----------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean $\mu$ and standard deviation $\sigma$ , is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.
Each z-score has an associated p-value, which is the percentile.

The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
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A similar problem is given at brainly.com/question/16965597

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1 year ago