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3 years ago

What is the slope and y intercept of the equation 6x - 1 = 3y - 10

Mathematics

1 answer:

-BARSIC- [3]3 years ago

3 0

your x value is your slope so the slope is 6 and your y intercept is the y value so your intercept is 3

hope this helps

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When y is 4, p is 0. 5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equatio

dmitriy555 [2]

Answer:

$\dfrac{xy}{pm}=8$

Step-by-step explanation:

If x varies directly as the product of p and m, and inversely with y, the relation can be written ...

x = k(pm)/y . . . . where k is the constant of proportionality

This can be solved for k:

k = xy/pm

For the given values, the value of k is ...

k = (2)(4)/((0.5)(2)) = 8

Then the relation between the variables can be written ...

(xy)/(pm) = 8

5 0

1 year ago

Solve the inequality for x. Show each step of the solution. 2x>4(3x-5)-20

Elden [556K]

Answer:

x>4

Step-by-step explanation:

2x>4(3x-5)-20

2x>12x-20-20

2x>12x-40

2x-12x>-40

-10x>-40

x>4

8 0

3 years ago

Hurry someone please answer plsss<br> Find the midpoint of each line segment.

djverab [1.8K]

Answer:

2.5

Step-by-step explanation:

you can use pythag theorem and divide c by two:

-3^2+4^2=c^2

9+16= 25

c=5

however, 5/2=2.5

4 0

3 years ago

The table shows the ratio of caramel corn to cheddar cornvin a bag. What is the constant propotionality?

zvonat [6]

Since we know is a proportionality, namely a multiplier on "x", we can simply use any of those points, say hmmm let's use 10, 15,

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we know that }
\begin{cases}
x=10\\
y=15
\end{cases}\implies 15=k10\implies \cfrac{15}{10}=k\implies \cfrac{3}{2}=k$

8 0

3 years ago

In 2014, the CDC estimated that the mean height for adult women in the U.S. was 64 inches with a standard deviation of 4 inches.

Vladimir79 [104]

Answer:

A. 16%

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 64, \sigma = 4$

Which of the following gives the probability that a randomly selected woman has a height of greater than 68 inches?

This is 1 subtracted by the pvalue of Z when X = 68. So

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

$Z = \frac{68 - 64}{4}$

$Z = 1$

$Z = 1$ has a pvalue of 0.84.

1 - 0.84 = 0.16

So the correct answer is:

A. 16%

6 0

3 years ago