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2 years ago

Factor the expression p2-16

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

3 0

Answer:

(p - 4)(p + 4)

Step-by-step explanation:

p² - 16 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

p² - 16

= p² - 4²

= (p - 4)(p + 4)

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Ha: μ ≠ 30 we know that the sample standard deviation is 10 and the sample size is 70. for what sample mean would the p-value be

Andrew [12]

From the given problem the same size is n = 70. Df = n – 1 = 70 – 1 = 69.

The population mean is u = 30, sample standard deviation is s = 10 and the sample size is n = 70. Then,

t = x – u / s sqrt of n

1.995 = x – 30 / (10 sqrt of 70)

1.995 = x – 30 / 1.1952

X – 30 = 1.995 (1.1952)

X – 30 = 2.3844

X = 30 + 2.3844

X = 32.3844

The sample mean is 32.3844

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3 years ago

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Anarel [89]

Answer:

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Step-by-step explanation:

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3 years ago

Input output 17 rule: 3x-1

Marrrta [24]

Answer:

x = 6

Step-by-step explanation:

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7 0

2 years ago

True or false? (b^5)^2 = b^7

Mashcka [7]

The answer to this is false

5 0

3 years ago

Read 2 more answers

Pls help due ASAP and show workings pls

Vladimir [108]

Answer:

The coordinates of point B are: (29,-15)

Option D is correct option.

Step-by-step explanation:

Endpoint of diameter of a circle = A(5,7)

Centre of circle = P(17,-4)

We need to find coordinates of other endpoint of diameter of a circle i.e. B

The formula used is: $Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

We are given coordinates of centre (midpoint) P(17,-4)

and A (5,7) x₁=5, y₁=7

We need to find Point B i.e. (x₂,y₂)

Putting values and finding point B

$Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(17,-4)=(\frac{5+x_2}{2}, \frac{7+y_2}{2})\\We\:can\:write:\\17=\frac{5+x_2}{2}\:and\: -4=\frac{7+y_2}{2}\\17\times 2=5+x_2\:and\: -4\times 2=7+y_2\\34=5+x_2\:and\: -8=7+y_2\\34-5=x_2\:and\: -8-7=y_2\\x_2=29\:and\: y_2=-15$

so, we get: x₂ = 29 ,y₂ = -15

The coordinates of point B are: (29,-15)

Option D is correct option.

8 0

3 years ago