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Nady [450]
3 years ago
13

Factor completely x2 - 16y2

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0

Answer:

(x+4y)(x-4y)

Step-by-step explanation:

Since

\large a^2-b^2=(a+b)(a-b)

we can see that

\large x^2-16y^2=(x+4y)(x-4y)

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The new number, 550, is 200 more than the original number. What is the approximate percent change?a The percent change is 33%. b
Svetradugi [14.3K]
B The percentage change is 55%
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3 years ago
Read 2 more answers
Suppose you are the manager of Speedy Oil Change which claims that it will change the oil in​ customers’ cars in less than 30 mi
Veronika [31]

Answer:

Explained below.

Step-by-step explanation:

(1)

The hypothesis can be defined as follows:

<em>H</em>₀: The Speedy Oil Change will change the oil in​ customers’ cars in more than 30 minutes on average, i.e. <em>μ</em> > 30.

<em>H</em>ₐ: The Speedy Oil Change will change the oil in​ customers’ cars in less than 30 minutes on average, i.e. <em>μ</em> ≤ 30.

(2)

Use Excel to compute the sample mean and standard deviation as follows:

\bar x=\text{AVERAGE(array)}=24.917\\\\s=\text{STDEV.S(array)}=8.683

Compute the test statistic as follows:

t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{24.917-30}{8.683/\sqrt{36}}=-3.51

The degrees of freedom is:

df = n - 1

   = 36 - 1

   = 35

Compute the p-value as follows:

p-value=P(t_{35}

(3)

The <em>p</em>-value = 0.0006 is very small.

The null hypothesis will be rejected at any of the commonly used significance level.

(4)

There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in​ customers’ cars in less than 30 minutes on average.

3 0
3 years ago
A shipping box holds 450 golf balls. A larger shopping box has dimensions triple the size of the other box. How many golf balls
salantis [7]
That is so easy oh and where are my manners.
My name is Tessadog. I hope you enjoy my answer.
ok so all you have to do is 450 x 3 to find your answer.
Well I may not be 100% because i am more 89.9 % sure so good luck on your test. Please mark me brainiest if i am right.
Tessadog wishes you a good rest of your day and i geuss i am out
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We know that the ratio is 6:9 green to blue balloons. We can divide 1620 by 9. This gives us 180. Next, we multiply 6 * 180. This gives us 1080.

There are 1,080 green balloons.
3 0
2 years ago
there is a 50% off sale at the video game store. during the sale sonia pays $30 for a new game. what was the orginal prce
Temka [501]
The original price would be $60 cuz 50% is half which means 30 is half of 60
8 0
3 years ago
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