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Bezzdna [24]
3 years ago
10

Write the sum of the numbers as the product of their GCF and another sum. But for 27 + 18. And put an answer that i can copy wor

d for word for my homework. Thanks!
Mathematics
1 answer:
Step2247 [10]3 years ago
4 0

Answer: 9(3+2)

Step-by-step explanation:

The GCF of 27 and 18 is 9  because the factors of 27 are, 1,3,9 and 27 and the the factors of 18 are, 1,2,3,9 and 18.

The greatest factor that they both share is 9.

And 9 times three is 27 and 9 times 2 is 18.

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F(x) = -4x2 + 4x – 4<br> Find f(3)
ValentinkaMS [17]

F(3) occurs when x =3. So lets plug 3 into our equation.

f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28

F(3) = -28

I hope this helps! :)

5 0
3 years ago
11. angle MLN and angle JLK are complementary, m angle MLN=7x-1 and m angle JLK=4x+3 . a. Solve for x b. Find m angle MLN and m
Natali [406]

a. Solve for x

Since  angle MLN and angle JKL are complementary, the value of x = 8

Since  angle MLN and angle JKL are complementary, their sum equal 90°.

Since  angle MLN = 7x - 1 and angle JKL = 4x + 3, we have that

7x - 1 + 4x + 3 = 90

Collecting like terms, we have

7x + 4x - 1 + 3 = 90

Simplifying, we have

11x + 2 = 90

Subtracting 2 from both sides, we have

11x = 90 - 2

11x = 88

Dividing through by 11, we have

x = 88/11

x = 8

So, Since  angle MLN and angle JKL are complementary, the value of x = 8

b. Find m angle MLN and m angle JKL .

Since angle MLN=7x-1 and angle JLK=4x+3  thus, angle MLN = 55° and angle JKL = 35°

Since angle MLN = 7x - 1 and x = 8, we have

angle MLN = 7x - 1

angle MLN = 7(8) - 1

angle MLN = 56 - 1  

angle MLN = 55°

Since angle JKL = 4x + 3 and x = 8, we have

angle JKL = 4x + 3

angle JKL = 4(8) + 3

angle JKL = 32 + 3

angle JKL = 35°

So, Since angle MLN=7x-1 and angle JLK=4x+3  thus, angle MLN = 55° and angle JKL = 35°

Learn more about complementary angles:

brainly.com/question/13389583

4 0
2 years ago
11. Name a pair of complementary angles in this figure.
vesna_86 [32]

Answer:

DEH & DEJ

Step-by-step explanation:

It a acute and angle so it equal complementary

5 0
2 years ago
Can somebody help me with this question?​
sergejj [24]

Answer:

.

Step-by-step explanation:

6 0
3 years ago
genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. Construct a ​%
Andreas93 [3]

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The  95%  confidence interval is  0.2392  <  p < 0.3108

No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

Step-by-step explanation:

From the question we are told that

  The total sample size is  n  =  432 + 164 =596

   The  number of  offspring that is yellow peas is y =  432

   The  number of  offspring that is green peas   is g =  164

   

The sample proportion for offspring that are yellow peas is mathematically evaluated as

        \r p  =  \frac{ 164 }{596}

        \r p  =  0.275

Given the the  confidence level is  95% then the level of significance is mathematically represented as

       \alpha  =  (100 - 95)\%

      \alpha =  5\%  =  0.0 5

The  critical value of  \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} } = 1.96

Generally the margin of error is mathematically evaluated as

        E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }

=>      E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }

=>      E =  0.0358

The  95%  confidence interval is mathematically represented as

      \r p - E  <  p < \r p + E

=>   0.275 -  0.0358  <  p < 0.275 +  0.0358

=>   0.2392  <  p < 0.3108

6 0
3 years ago
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