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3 years ago

9

Write the equation of the line that has a slope of - 2/3 and a y-intercept of (0,-7)

2 answers:

UNO [17]3 years ago

6 0

Since we have the y-intercept and the slope of the line, let’s use slope-intercept form:

y = mx + b, where m is the slope and b is the y-intercept.

y = -2/3x - 7

earnstyle [38]3 years ago

4 0

You will use the equation y=mx+b.

M is the slope and b is the y-intercept.

So since we already have both, all we have to do is plug it in.

y= - 2/3 -7.

Hope this helps!

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Let X be a random variable that is equal to the number of times a 5 is rolled in three rolls of a fair 5-sided die with the inte

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

Firstly we will make PMF

For X=0, P=(4/5)^3=64/125

For X=1, P=C(3,1)*(1/5)*(4/5)^2=3*16/125=48/125

For X=2, P=C(3,2)*(1/5)^2*(4/5)=3*4/125=12/125

For X=3, P=C(3,3)*(1/5)^3=1/125

So,

E[X^2]=1*48/125+2^2*(12/125)+3^2/125=0.84

E[X]=48/125+12/125*2+1/125*3=0.6

So,

E[X]^2=0.36

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3 years ago

Kenny's scores the first 5 times he played a video game are listed below. 38, 51, 64, 77, 90 Kenny's scores follow a pattern. If

gayaneshka [121]

Kenny's score on his 72nd game played is 961

<em><u>Solution:</u></em>

Given that the first 5 score of Kenny are listed below:

38, 51, 64, 77, 90

Kenny's scores follow a pattern

<em><u>To find: Kenny's score on his 72nd game played</u></em>

Let us first find the pattern followed

38, 51, 64, 77, 90

<em><u>Find the difference between terms</u></em>

51 - 38 = 13

64 - 51 = 13

77 - 64 = 13

90 - 77 = 13

So the difference between terms is constant

So the sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>The formula for nth term of arithmetic sequence is given as:</u></em>

$a_n = a_1 + (n-1)d$

$a_n$ = the nᵗʰ term in the sequence

$a_1$ = the first term in the sequence

d = the common difference between terms

Here d = 13 and $a_1 = 38$

So we get,

$a_n = 38 + (n-1) \times 13$

<em><u>To find the score of 72nd game, substitute n = 72</u></em>

$a_{72} = 38 + (72-1) \times 13\\\\a_{72} = 38 + 71 \times 13\\\\a_{72} = 38 + 923\\\\a_{72} = 961$

Thus Kenny's score on his 72nd game played is 961

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3 years ago

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Lemur [1.5K]

Since a and 5 aren't like terms, you would write the expression as $\frac{a+5}{b}$

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Mary's age is 10 years less than 2 times Joe's age. If the difference between their ages is 30, how old is Mary?

zheka24 [161]

Answer:

its 5

Step-by-step explanation:

cause 2 divided by 30is 15 minus 10 its 5

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2 years ago

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A motorcycle bought for $10,000 depreciates continuously at 9% per annum. What is its value after 7 years?

Stells [14]

Answer:5326

Step-by-step explanation:

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2 years ago