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3 years ago

What is the slope of the line? (please explain!)

Mathematics

2 answers:

xxTIMURxx [149]3 years ago

8 0

-5/2
Slope is rise over run

Dennis_Churaev [7]3 years ago

4 0

Answer:

-2/5

Step-by-step explanation:

Slope of a line is also called gradient.

Let A(x₁,y₁) and B(x₂,y₂) be points on a certain line;

slope = (y₂ -y₁)/(x₂ - x₁)

In this question the 2 points that lie on the line are: (-5,5) and (0,3)

slope = (3 - 5)/(0 - -5)

= -2/5

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The distance between river city and pine bluff is 6 inches what is the scale of the map

son4ous [18]

The distance between pine bluff and river city is approx. 535.1 miles ( i had to search this up because without that information you cant find out your scale). 535.1 miles is 2 825 328 feet (or 535.1 X 5 280, because there are 5280 feet in a mile), and 2 825 328 feet is 33 903 936 inches (or 2 825 328 X 12, because there are 12 inches in a foot). Now if you take 33 903 936, and divide it by 6, which was how many inches were shown on your map, you get 5 650 656. and so, the scale on your map is 1:5 650 656, or for every 1 inch on your map, there are 5 650 656 inches in real life.

8 0

3 years ago

Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator.

mart [117]

Answer:

$\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}$ .

Step-by-step explanation:

The given expression is

$\dfrac{3y^{\frac{1}{4}}}{4x^{-\frac{2}{3}}y^{\frac{3}{2}}\cdot 3y^{\frac{1}{2}}}$

We need to simplify the expression such that answer should contain only positive exponents with no fractional exponents in the denominator.

Using properties of exponents, we get

$\dfrac{3}{4\cdot 3}\cdot \dfrac{y^{\frac{1}{4}}}{x^{-\frac{2}{3}}y^{\frac{3}{2}+\frac{1}{2}}}$ $[\because a^ma^n=a^{m+n}]$

$\dfrac{1}{4}\cdot \dfrac{y^{\frac{1}{4}}}{x^{-\frac{2}{3}}y^{2}}$

$\dfrac{1}{4}\cdot \dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{y^{2}}$ $[\because a^{-n}=\dfrac{1}{a^n}]$

$\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}$

We can not simplify further because on further simplification we get negative exponents in numerator or fractional exponents in the denominator.

Therefore, the required expression is $\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}$ .

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4 years ago

PLEASE HELP WILL GIVE 40 POINTS!!!!!!!! 10 QUESTIONS!!! PLEASE??!!!

mixas84 [53]

Answer:

#1 You have to start at the origin then go twice to the left then down 4 times.

5 0

3 years ago

Read 2 more answers

A company makes auto batteries. They claim that of their LL70 batteries are good for months or longer. Assume that this claim is

Katen [24]

Answer:

The probability that the sample proportion is within 0.03 of the population proportion is 0.468.

Step-by-step explanation:

The complete question is:

A company makes auto batteries. They claim that 84% of their LL70 batteries are good for 70 months or longer. Assume that this claim is true. Let p^ be the proportion in a random sample of 60 such batteries that are good for 70 months or more. What is the probability that this sample proportion is within 0.03 of the population proportion? Round your answer to two decimal places.

Solution:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p\\$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

The information provided is:

$p=0.84\\n=60$

As the sample size is large, i.e. n = 60 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion of LL70 batteries that are good for 70 months or longer.

Compute the probability that the sample proportion is within 0.03 of the population proportion as follows:

$P(-0.03$