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ruslelena [56]
3 years ago
5

Use the Pythagorean Theorem to solve for x. a.4.7 b.7.5 c.8,1 d.19.8

Mathematics
2 answers:
denis-greek [22]3 years ago
8 0

Answer:

B: 7.5

Step-by-step explanation:

Use the formula a²+b²=c² to calculate. a=x b=13 c=15. Simply plug in the numbers to the coresponding letters

a²+13²=15²

a²+169 = 225

   -169    -169

__________

      a²= -56

a = 7.5

Hoochie [10]3 years ago
8 0

Answer:

b

Step-by-step explanation:

so we now a and b are the legs let's say a=13 and b=x/? we also have c=15 which is the hypotenuse. let's get started.

a²+b²=c²

13²+x²=15²

169+x²=225

225-169=56

x²=56

so we square root both of them.

x=7.5 rounded

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IgorLugansk [536]

Answer:

The equation –3y = 15 – 4x rewritten in slope-intercept form is  

✔ y = (4/3)x – 5

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The y-intercept is  

✔ –5

and the slope of the line is  

✔ 4/3

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Line  

✔ B

is the graph of the line –3y = 15 – 4x.

8 0
3 years ago
Also need help with this question
Masja [62]

Answer:

C

Step-by-step explanation:

In option c, the first block is divided into 3 pieces where 2 parts are shaded whereas the second block is divided into 6 pieces where 3 parts are shaded

For both to be equivalent, both of them should be the same

2/3 = x/6

x = 4

4 pieces should be shaded in in the second block to be equal to the first one, in the diagram only 3 parts are shaded thus the answer is c

8 0
2 years ago
What is the difference?
TEA [102]

Answer:

I WAS WRONG PICK D

Step-by-step explanation:

I'm an idiot

7 0
3 years ago
An author published a book which was being sold online. The first month the author sold 21000 books, but the sales were declinin
Wittaler [7]

Answer:  119,616

You may have to erase the comma when inputting the answer.

=======================================================

Explanation:

The author sells 21,000 books in the first month.

Then they sell 21,000*(1-0.12) = 21,000*(0.88) = 18,480 in the second month.

Then they sell 18,480*(1-0.12) = 18,480*(0.88) = 16,262.4 = 16,262 in the third month.

And so on. These values follow a geometric sequence with first term a = 21,000 and common ratio r = 0.88

We can think of the 0.88 as 88% of the original value (since losing 12%, we keep the remaining 88%)

-------------

Use the formula below to sum the first 9 terms of the geometric sequence

Plug in a = 21000 and r = 0.88

S_n = a*\frac{1-r^n}{1-r}\\\\S_9 = 21000*\frac{1-0.88^9}{1-0.88}\\\\S_9 \approx 21000*\frac{0.6835216}{0.12}\\\\S_9 \approx 21000*5.6960133\\\\S_9 \approx 119,616.2793\\\\S_9 \approx 119,616\\\\

The author sold about 119,616 books over the course of the first nine months.

4 0
3 years ago
Suppose that 10% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Four homeown
guapka [62]

Remainder of question:

Find the probability distribution of x

Answer:

The random variable x is defined as: X = {0, 1, 2, 3, 4}

The probability distribution of X:

P(X = 0) = 0.656

P(X = 1) = 0.2916

P(X= 2) = 0.0486

P(X=3) = 0.0036

P(X = 4) = 0.0001

Step-by-step explanation:

Sample size, n = 4

Random variable, X = {0, 1, 2, 3, 4}

10% (0.1) of the homeowners are insured against earthquake, p = 0.1

Proportion of homeowners who are not insured against earthquake, q = 1 - 0.1

q = 0.9

Probability distribution of x,

P(X = r) = ^nC_r *p^r q^{n-r} \\\\P(X= 0) =(^4C_0 *p^1 q^4 )\\P(X=0) = (^4C_0 *0.1^0 0.9^4 ) = 0.656\\P(X= 1)= (^4C_1 *p^1 q^3 )\\P(X=1) = (^4C_1 *0.1^1 0.9^3 ) = 0.2916\\P(X= 2)=( ^4C_2 *p^2 q^2) \\P(X=2) = (^4C_2 *0.1^2 0.9^2 ) = 0.0486\\P(X= 3) = (^4C_3 *p^3 q^3) \\ P(X=3) = (^4C_3 *0.1^3 0.9^1 ) = 0.0036\\P(X= 4) =  (^4C_4 *p^4 q^0 )\\ P(X=4) =(^4C_4 *0.1^4 0.9^0 ) = 0.0001

5 0
3 years ago
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