If x=3 and y= -5 find the value of x-y2

Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blo

Romashka [77]

Answer:

12

Step-by-step explanation:

Since they traveled in opposite directions, we would add the 2 numbers!

8+4=12.

7 0

3 years ago

Describe how to compare the two decimals 0.6 and 0.8

Dovator [93]

Answer:

they are 0.2 apart from each other and can easily be shown on a number line

Step-by-step explanation:

8 0

3 years ago

Write an equation for the line passing through the given pair of points. give the final answer in standard form (-4,-2) and (3,-

Andrew [12]

Answer:

y = -2/7x - 22/7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-4, -2)

Point (3, -4)

Step 2: Find slope m

Substitute: $m=\frac{-4+2}{3+4}$
Add: $m=\frac{-2}{7}$

Step 3: Find y-intercept b

Define: y = -2/7x + b
Substitute: -4 = -2/7(3) + b
Multiply: -4 = -6/7 + b
Isolate b: -22/7 = b
Rewrite: b = -22/7

Step 4: Write linear equation

y = -2/7x - 22/7

7 0

3 years ago

A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of 27$ and a standard devi

34kurt

Answer:

(a) The probability that the store’s revenues were at least $9,000 is 0.0233.

(b) The revenue of the store on the worst 1% of such days is $7,631.57.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.

Then, the mean of the distribution of the sum of values of X is given by,

$\mu_{X}=n\mu$

And the standard deviation of the distribution of the sum of values of X is given by,

$\sigma_{X}=\sqrt{n}\sigma$

It is provided that:

$\mu=\$27\\\sigma=\$18\\n=310$

As the sample size is quite large, i.e. n = 310 > 30, the central limit theorem can be applied to approximate the sampling distribution of the store’s revenues for Sundays by a normal distribution.

(a)

Compute the probability that the store’s revenues were at least $9,000 as follows:

$P(S\geq 9000)=P(\frac{S-\mu_{X}}{\sigma_{X}}\geq \frac{9000-(27\times310)}{\sqrt{310}\times 18})\\\\=P(Z\geq 1.99)\\\\=1-P(Z$

Thus, the probability that the store’s revenues were at least $9,000 is 0.0233.

(b)

Let s denote the revenue of the store on the worst 1% of such days.

Then, P (S < s) = 0.01.

The corresponding z-value is, -2.33.

Compute the value of s as follows:

$z=\frac{s-\mu_{X}}{\sigma_{X}}\\\\-2.33=\frac{s-8370}{316.923}\\\\s=8370-(2.33\times 316.923)\\\\s=7631.56941\\\\s\approx \$7,631.57$

Thus, the revenue of the store on the worst 1% of such days is $7,631.57.

5 0

3 years ago

You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you

mestny [16]

$\frac{26 \frac{1}{3} -10 \frac{1}{4}}{2}=\\ \frac{ \frac{79}{3} - \frac{41}{4} }{2} =\\ \frac{ \frac{79}{3} * \frac{4}{4} - \frac{41}{4} * \frac{3}{3} }{2} =\\ \frac{ \frac{356}{12}- \frac{123}{12} }{2} =\\ \frac{ \frac{233}{12} }{2} =\\ \frac{233}{24} =\\ 9\frac{17}{24}$

9 17/24 inches.

8 0

3 years ago

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