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2 years ago

I need help :) Find the GCF: 10x^5−16x^4+4x^2

1 answer:

5 0

The greatest common factor is 2x^2.
the largest number that divides evenly into <span>10x^5−16x^4+4x^2 is two.
the highest degree is x^2 so the answer would be 2x^2
</span>

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According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the

Elanso [62]

Answer: 0.0885

Step-by-step explanation:

Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.

i.e. p= 0.16

Sample size : n= 154

Now, the probability that more than 20% of this sample is comprised of female employees is given by :-

$P(p>0.20)=P(z>\dfrac{0.20-0.16}{\sqrt{\dfrac{0.16(1-0.16)}{154}}})$

[∵ $z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$ ]

$=P(z>1.35)\approx1-P(z\leq1.35)=1-0.9115=0.0885$ [Using the standard z-value table]

Hence, the required probability = 0.0885

6 0

2 years ago

How does the graph of this function compare with the graph of the parent function, y=1/x? It is shifted right 5 units and up 2 u

nasty-shy [4]

Answer:

It is shifted left 5 units and up 2 units from the parent function.

Step-by-step explanation:

Given

$y = \frac{1}{x}$

$y' = \frac{1}{x+5} + 2$

Required

Compare both functions

First, translate y, 5 units left.

The rule is:

$(x,y) \to (x + 5,y)$

So, we have:

$y = \frac{1}{x}$

$y_1 = \frac{1}{x + 5}$

Next, translate y1, 2 units up.

The rule is:

$(x,y) \to (x,y+2)$

So, we have:

$y' = y_1 + 2$

$y' = \frac{1}{x + 5} + 2$

Hence, the transformation is:

5 units left and 2 units up

7 0

3 years ago

what is the population of the Emperor penguin rounded to the nearest ten thousand and to the nearest hundred thousand

gogolik [260]

Answer:

130,000 to 250,000

Step-by-step explanation:

7 0

3 years ago

NEED HELP ASAP!! SHORT QUESTION!!

vichka [17]

Length. : 3. 4. 6. 8. 9.
Cost ($) : 24. 32. 48. 64. 72

3 0

3 years ago

Two turtles race. The speed of the first is 4 1/ 2 inches per minute and the speed of the other is 5 inches per minute How far a

RSB [31]

Answer:

(a) 1.5 inches

(b) 2.5 inches

Step-by-step explanation:

speed of first turtle = 4 1/2 inches per minute = 9/2 inches per minute

speed of the second turtle = 5inches per minute

distance = speed x time

(a) Distance traveled by first turtle in 3 minutes

s = 9/2 x 3 = 13.5 inches

distance traveled by second turtle in 3 minutes

s' = 5 x 3 = 15 inches

So, the gap is

s'- s = 15 - 13.5 = 1.5 inches

(b) Distance traveled by first turtle in 5 minutes

s = 9/2 x 5 = 22.5 inches

distance traveled by second turtle in 5 minutes

s' = 5 x 5 = 25 inches

So, the gap is

s'- s = 25 - 22.5 = 2.5 inches

s = 9/2 x 10 = 45 inches

distance traveled by second turtle in 10 minutes

s' = 5 x 10 = 50 inches

So, the gap is

s'- s = 50 - 45 = 5 inches

6 0

3 years ago