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1 year ago

2

Mathematics

1 answer:

nignag [31]1 year ago

6 0

Answer:

1st = 4×10 ^-9

2nd= 4×10^1

3rd = 4×10^7

4th = 4×10^-5

Step-by-step explanation:

for whole numbers you just have to count from the ending till the number indicated beside the x10

for decimals you count from the front starting at the decimal till you cover the whole number

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What is the inverse of the function f(x) = x + 2?

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Turn f(x) into y so the equation is y=x+2. Now switch their places so it is x=y+2. Now solve for y. The answer is y=x-2.

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3 years ago

What is the vertex of the function f (x) = x2 - 10x? (5,-25) (5.-75) (-5,75) (-5,25)

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Option A

The vertex is (h, k) = (5, -25)

Solution:

Given function is:

$f(x) = x^2-10x$

The vertex form is given as:

$y = a(x-h)^2+k$

<h3>where (h, k) is the vertex</h3>

Rewrite the equation in vertex form

$f(x) = x^2-10x$

Complete the square for $x^2-10x$

Use the form $ax^2+bx+c$ to find the values of a, b, c

a = 1 , b = -10, c = 0

Consider the vertex form of a parabola

$a(x+d)^2+e$

Substitute the values of a and b into the following formula to find "d" :

$d = \frac{b}{2a}\\\\d = \frac{-10}{2 \times 1}\\\\d = -5$

Find the value of "e" using the formula,

$e = c - \frac{b^2}{4a}\\\\e = 0 - \frac{(-10)^2}{4 \times 1}\\\\e = -25$

Substitute the value of a, d, e into vertex form

$a(x+d)^2+e\\\\1(x-5)^2-25\\\\(x-5)^2-25$

Set y equal to above equation

$y = (x-5)^2-25$

Compare the above equation with vertex form

$y = a(x-h)^2+k$

$y = (x-5)^2-25$

We find, h = 5 and k = -25

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4 years ago

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Answer:

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b. A) The critical value increases.

Step-by-step explanation:

If all possible samples of size N are drawn from a ﬁnite population, Np, without replacement, and the standard deviation of the mean values of the sampling distribution of means is determined then:

σx =d √N

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d ∞ N

from this, we can say d is directly proportional to √N

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therefore, we can conclude that:

A) Yes; as sample size increases, effect size increases.

In this estimate, tc is called the conﬁdence coefﬁcient for small samples, d is the standard deviation of the sample, x is the mean value of the sample and N is the number of members in the sample.

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it is necessary to know the sample parameters x and s and the population parameter µ. x and s can be calculated for the sample, but usually an estimate has to be made of the population mean µ, based on the sample mean value.

from the above equation it can be deduced that t value is determined with the sample size, and as the sample size increases

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mojhsa [17]

Answer:

Step-by-step explanation:

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