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2 years ago

(6a −? )5a =? a2 − 35a

2 answers:

7 0

Answer:
5a(6a-7) = 30a² - 35a

Explanation:
Before we begin, remember the following:
a(b+c) = ab + bc

Now for the given:
Assume that the first question mark is x and that the second question mark is y.

The expression now becomes:
(6a-x) * 5a = ya² - 35a
Distribute the 5a over the bracket and equate it with the right-hand side as follows:
5a(6a) - 5a(x) = ya² - 35a
30a² - 5ax = ya² - 35a

By comparison:
30a² = ya² ..............> This means that y = 30
-5ax = -35a
-5x = -35
5x = 35
x = 35/5
x = 7

Based on the above, the expression is:
5a * (6a-7) = 30a² - 35a

Hope this helps :)

timofeeve [1]2 years ago

5 0

(6a - 7)5a = 30a^2 - 35a

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The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control a

Dafna11 [192]

Answer:

Probability that at least 490 do not result in birth defects = 0.1076

Step-by-step explanation:

Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.

To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects

Proof -

Given that,

P(birth that result in a birth defect) = 1/33

P(birth that not result in a birth defect) = 1 - 1/33 = 32/33

Now,

Given that, n = 500

X = Number of birth that does not result in birth defects

Now,

P(X ≥ 490) = $\sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}$

= ${^{500} C_{490} } (\frac{32}{33} )^{490} (\frac{1}{33} )^{500-490}$ + .......+ ${^{500} C_{500} } (\frac{32}{33} )^{500} (\frac{1}{33} )^{500-500}$

= 0.04541 + ......+0.0000002079

= 0.1076

⇒Probability that at least 490 do not result in birth defects = 0.1076

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2 years ago

What does -5+y/6=-7 in one step equation form ?

max2010maxim [7]

Answer: y= −12

Step-by-step explanation:

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3 years ago

Sarah has a shoebox that has a base that is 12 inches x 10 inches. The shoe box is 7.5 inches tall. Sarah lost the top to the bo

katrin2010 [14]

450

10*12= 120 the bottom of the box
10*7.5= 75 one side
75*2= 150 two sides
12*7.5= 90 another side
90*2= 180 two other sides
120+150+180 = 450

Hope this helped :)

8 0

3 years ago

Ms. Masse's biology class is conducting an experiment

olga_2 [115]

2 + 2 + 2 + 2 + 2 = 10
Five days

2 + 2 + 2 + 2 + 2 + 2 + 2 = 14
Full week

10 x 2 = 20

14 x 2 = 28

The bacteria will double every day for a total of 20/28 bacteria on the last day.

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2 years ago

Simplify: (2a2 - 3ab + 2b2) - (a2 + 2ab -5b2)

djverab [1.8K]

Answer:

a2 - 5ab + 7b2

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "b2" was replaced by "b^2". 3 more similar replacements.

= (((2•(a2))-3ab)+(2•(b2)))-(((a2)+2ab)-5b2)

= (((2•(a2))-3ab)+2b2)-(a2+2ab-5b2)

= ((2a2 - 3ab) + 2b2) - (a2 + 2ab - 5b2)

factor Into multi variable polynomial :

= 4.1 Factoring a2 - 5ab + 7b2

Your answer should be :

= a2 - 5ab + 7b2

8 0

2 years ago