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cricket20 [7]
3 years ago
8

Question 21 (1 point) This table shows the input and output values for a linear function f(x). What is the positive difference o

f outputs for any two inputs that are four values apart? x −3 −2 −1 0 1 2 3 f(x) −1.5 −1 −0.5 0 0.5 1 1.5 Enter your answer in the box. (Enter the number and nothing else)

Mathematics
2 answers:
Eva8 [605]3 years ago
8 0

Answer:

2

Step-by-step explanation:

x     f(x)      

−3    −1.5

−2    −1

−1     −0.5

0     0

1      0.5

2     1

3     1.5

This table shows the input and output values for a linear function f(x).

Now, two inputs which are four values apart are say -3 and 1 and the corresponding outputs are - 1.5 and 0.5.

Therefore, the positive difference of outputs is [0.5 - (- 1.5)] = 2 (Answer)

Gre4nikov [31]3 years ago
6 0

Answer:

2

Step-by-step explanation:

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A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal c
Lina20 [59]

Answer: 97.72%

Step-by-step explanation:

Given : A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal curve.

Let x be the random variable that represents the shoe sizees.

Also, The population mean = \mu=11 ; Standard deviation: \sigma=1.5

Formula for z:-

z=\dfrac{x-\mu}{\sigma}

Put x= 8, we get

z=\dfrac{8-11}{1.5}=-2

Now, the probability that the male shoe sizes are greater than 8 :-

P(x>8)=P(z>-2)=1-P(z\leq-2)\\\\=1-0.0227501=0.9772499\approx0.9772

Hence, the percent of male shoe sizes are greater than 8 is 97.72%.

7 0
3 years ago
Find all roots x^5-2x^3-8x=0
kobusy [5.1K]
X^5 - 2 x^3 - 8 x=0x (x - 2) (x + 2) (x^2 + 2) = 0
x - 2 = 0 or x = 0 or x + 2 = 0 or x^2 + 2 = 0
x = 2 or x = 0 or x = - 2 or x^2 = - 2
x^2 = - 2 has no solution since for all x on the real line, x^2 >= 0 and - 2 < 0

Ans : x = 2 or x = 0 or x = - 2
7 0
3 years ago
You draw a card from a standard deck of 52 cards. What is the probability of drawing a
nikklg [1K]

Answer:

1/13

Step-by-step explanation:

There are 4 king cards:

King of Hearts

King of Diamonds

King of Clover

King of Spades

This is 4 cards in a standard deck of 52. Set as a fraction 4/52.

Simplify:

(4/52)/(4/4) = 1/13

1/13 is the probability of drawing a KIng card.

~

8 0
3 years ago
When f(x)= -3,what is x
White raven [17]
F(x) = -3.

x = f⁻¹(-3)

x = f inverse of (-3).


7 0
3 years ago
Read 2 more answers
3) Valerie works at a local amusement park. She earns $9.80 per hour. She 20 points
NemiM [27]
<h3>Answer:  Choice A</h3><h3>9.80h+10 = 88.40</h3>

===========================================================

Work Shown:

  • h = number of hours worked.
  • 9.80h = amount of money earned after working h number of hours (ignoring the meal bonus).
  • 9.80h+10 = total amount of money earned after adding on the meal bonus.
  • 9.80h+10 = 88.40 is the equation we use since the total 9.80h+10 is the same as the total she earned 88.40 dollars.

--------------------

Extra info (optional section)

If you want to solve for h, then you could follow these steps.

9.80h+10 = 88.40

9.80h = 88.40-10 ... subtract 10 from both sides

9.80h = 78.40

h = 78.40/9.80 .... divide both sides by 9.80

h = 8

Valerie worked 8 hours on Friday.

As a check,

9.80h + 10 = 88.40

9.80*8 + 10 = 88.40

78.40 + 10 = 88.40

88.40 = 88.40

The answer is confirmed.

3 0
3 years ago
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