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Daniel [21]
3 years ago
10

What is an equation of the line that passes through the points (6, 0) and (-1, -7)?

Mathematics
1 answer:
Orlov [11]3 years ago
6 0

Answer:

y = x - 6

Step-by-step explanation:

We want to write a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we need to find the slope, which is just the change in the y-coordinates divided by the change in the x-coordinates:

slope = m = \frac{6-(-1)}{0-(-7)} =\frac{7}{7}=1

Our equation now looks like this: y = x + b

Now, to find the y-intercept, let's use one of the points provided and plug those values of x and y into the incomplete equation we have to solve for b:

0 = 6 + b  ⇒  b = -6

So, the equation is: y = x - 6.

Hope this helps!

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Miguel has already put 36 sports cards in 5 folders. He buys 372 more cards. He puts the same number of cards into the 5 folders
Ainat [17]
I think the answer is 75.6 because i divided 36 cards by 5 folders and i got 1.2. And then i divided 372 extra cards by 5 folders am got 74.4. I add the two total and have 75.6 5/36 = 1.2 5/372 = 74.4 1.2+74.4= 75.6 srry if I'm wrong
4 0
3 years ago
Multiply (x + 14)(x + 15). What is the product?
Contact [7]

Answer:

x^2+29x+210

I hope this helps! I did this through the FOIL method. :)

5 0
2 years ago
An article written for a magazine claims that 78% of the magazine's subscribers report eating healthily the previous day. Suppos
Schach [20]

Answer:

89.44% probability that less than 80% of the sample would report eating healthily the previous day

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.78, n = 675

So

\mu = E(X) = np = 675*0.78 = 526.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{675*0.78*0.22} = 10.76

What is the approximate probability that less than 80% of the sample would report eating healthily the previous day?

This is the pvalue of Z when X = 0.8*675 = 540. So

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

Z = \frac{540 - 526.5}{10.76}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

89.44% probability that less than 80% of the sample would report eating healthily the previous day

8 0
3 years ago
HELP MEEEEEEEEE plz​
Diano4ka-milaya [45]

Answer:

15

Step-by-step explanation:

Red : Blue :

3        8

We have 40 blue marbles

Multiply 8 by what to get 40

40/8 =5

So we need to multiply by 5

Red : Blue :

3*5      8*5

15         40

There are 15 red marbles

8 0
3 years ago
Read 2 more answers
John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages
oksano4ka [1.4K]

Answer:

John’s age is 8 years

Step-by-step explanation:

Let

x -----> John’s father's age

y -----> John’s age

z -----> John’s sister's age

we know that

x=5y -----> equation A

y=2z

z=y/2 -----> equation B

(x+2)+(y+2)+(z+2)=58

x+y+z+6=58

x+y+z=52  -----> equation C

Substitute equation A and equation B in equation C and solve for y

5y+y+y/2=52

Multiply by 2 both sides to remove the fraction

10y+2y+y=104

13y=104

y=8

<em>Find the value of x</em>

x=5(8)=40

<em>Find the value of z</em>

z=8/2=4

therefore

John’s father's age is 40 years

John’s age is 8 years

John’s sister's age is 4 years

7 0
3 years ago
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