use the elimination method to solve the system of equations. choose the correct ordered pair x-y=2 2x+3y=14

Is it is it possible to have 43 pencils and divide the pencils into groups with the same number of pencils with none left over

anastassius [24]

we have given 43 pencils

we need to divide it equally so that none can be without groups.

we need to find the factors of 43.

we know that 43 is a prime number. which cannot be divided.so it is not possible to divide the 43 pencils with none left over .

6 0

3 years ago

Read 2 more answers

wires are attached to a pole to make it more secure. the diagram shows one of those wires having a length of 220 feet the angle

MariettaO [177]

In(36)=h/220ft
220ftsin(36) = h
h=129.3 ft

7 0

3 years ago

Read 2 more answers

Write an absolute value inequality that represents the situation. The area, A, in square inches of a square photo is required to

xz_007 [3.2K]

Answer:

$|A - 8.7| < 0.4$

Step-by-step explanation:

Given

$8.5 < A < 8.9$

Required

Write as an absolute value inequality

The absolute value inequality can be derived using

$|A - Mid| < Length$

First Step: Get the middle of the interval

$Mid = \frac{1}{2}(8.5 + 8.9)$

$Mid = \frac{1}{2}(17.4)$

$Mid = 8.7$

Next: Get the Length of the interval

$Length = 8.9 - 8.5$

$Length = 0.4$

Substitute values for Mid and Length in $|A - Mid| < Length$

$|A - 8.7| < 0.4$

Hence:

<em>The absolute inequality is </em> $|A - 8.7| < 0.4$ <em></em>

7 0

3 years ago

The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees ba

blsea [12.9K]

Answer:

The test statistic is z = -2.11.

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Group 1: Sample of 35, mean of 1276, standard deviation of 347.

This means that:

$\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537$