SEND HELP I JUST WANNA TAKE A NAP

Vikki [24]

Part 1:

3+2+1 = 6 total units

There is only 1 history book.

1/6 total.

Part 2:

6-1 (we've lost the history book) = 5 total units

3 novels. = 3/5

Part 3:

1/6 * 3/5 = 3/30 or 1/10

3 0

3 years ago

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Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.4 and a mean diameter of 212

zhannawk [14.2K]

Answer:

$P(211.9$

And using the normal standard table or excel we can find this probability with this difference:

$P(-0.639$

Step-by-step explanation:

For this case we define the random variable X="metal shafts" produced in a manufacturing company, and we have the following properties given:

$E(X)= 212, \sigma = 1.4$

Previous concepts

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

They select a sample if size n=4, by the central limit theorem the distribution for the sample mean is given by:

$\bar X \sim N(\mu=212, \frac{1.4}{\sqrt{80}}= 0.1565)$

We are interested on this probability

$P(211.9$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we use this formula we got this:

$P(211.9$

And using the normal standard table or excel we can find this probability with this difference:

$P(-0.639$

6 0

3 years ago

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Find the area of the polygon. A) 96 cm2 B) 192 cm2 C) 208 cm2 D) 224 cm2

chubhunter [2.5K]

Answer:

208 cm2 (C)

Step-by-step explanation:

16*6=96

The area of the LEFT polygon is 96 according to length times width.

Since the entire length is 14 and the rectangle alone has a length of 6, 14-6=8 which then you multiply by 14 to get your area of the RIGHT polygon.

8*14= 112

When you add both area values together you get the area of the entire polygon.

96+112=208

4 0

4 years ago

Simplify 2(x+7) 2x + 20 - 2 = x+4 2x + 8

zubka84 [21]

Answer:

x = 0

Step-by-step explanation:

2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing

2(x+7) would be 2x+14

4(2x+8) would be 8x+32

2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms

2x and 2x can be combined on the left side

x and 8x can be combined on the right side

4x + 14 + 20 - 2 = x + 8x + 32

4x + 32 = 9x + 32 you can now solve this equation

start by subtracting 4x on both sides

32 = 5x +32 now subtract 32 on both sides

0 = 5x so x = 0

3 0

3 years ago

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ANSWER THIS QUESTION IF YOUR GOOD AT MATH ↓

blondinia [14]

Answer:

It's C, g(x) = (1/2)^x

This is a horizontal reflection of y = 2^x

across the y axis.

Step-by-step explanation:

Using the process of elimination, you can spot this answer by applying what is logical about the transformations of an exponential function.

The transformations of a standard exponential function can be given by:

ab^(1/c(x-h))+k

First note that A must be incorrect because -2^x would be a reflection across the x axis which would not match the function g because a reflection across the x axis would cause the exponential growth or decay value b to become a reciprocal and -2 is not a reciprocal of 2.

6 0

3 years ago