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Len [333]
4 years ago
8

20 points AND brainliest if answered correctly!

Mathematics
1 answer:
lisabon 2012 [21]4 years ago
4 0
They both make the equation true
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Choose the correct simplification of (5x − 6)(2x2 − 3x − 6).
Likurg_2 [28]
(5x - 6)(2x^2 -3x - 6)

Use FOIL to help expand the expressions

First
Outer
Inner
Last

When we foil out the expression we get: 

5x*2x^2+(5x)(-3x)+(5x)(-6)+(-6)(2x^2)+(-6)(-3x)+(-6)(-6)

Now start multiplying the expression to get: 
10x^3-15x^2-30x-12x^2+18x+36

Combine like terms; Final answer: 
10x^3-27x^2-12x+36

so A 
3 0
3 years ago
Compute​ P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate thi
MAXImum [283]

Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:

P(X) = \left[\begin{array}{ccc}n\\X\end{array}\right].p^{x}.(1-p)^{n-x}

P(20) = \left[\begin{array}{ccc}53\\20\end{array}\right] .(0.3)^{20}.(1-0.3)^{33}

P(20) = \frac{53!}{33!.20!}.3.5.10^{-11}.7.7.10^{-6}

P(20) = 0.0552

To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:

n . p = 53*0.3 = 15.9

n.(1-p) = 53(1-0.3) = 37.1

Since both ARE greater than 5, normal distribution can be used.

To approximate:

mean = n . p = 15.9

standard deviation = \sqrt{n.p.(1-p)} = 3.34

Find the z-score:

z = \frac{x - mean}{sd} = \frac{20-15.9}{3.34} = 1.23

z-score = 0.8907

Comparing values:

0.8907 - 0.0552 = 0.8355

6 0
3 years ago
Find the value of the variable.<br> 8<br> 4<br> 6<br> y =
Softa [21]

9514 1404 393

Answer:

  y = 12

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  y/6 = 8/4

  y = 6·8/4

  y = 12

7 0
3 years ago
Read 2 more answers
Use technology to find the line of best fit for the following data.
Colt1911 [192]

Answer:Meepo

Step-by-step explanation:

Meepo

5 0
3 years ago
HELP!!!!! PLZ The values in the table represent a linear function. What is the common difference of the associated arithmetic se
adell [148]

Answer:

The common difference is 14

Step-by-step explanation:

The series goes 11,25,39,53,67

To find the common difference, take the second term and subtract the first term.

25-11  = 14

Check with the third term and the second term

39-25 = 14

The common difference is 14

6 0
3 years ago
Read 2 more answers
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