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Darina [25.2K]
3 years ago
8

What is the range of the function shown below?

Mathematics
1 answer:
Ivenika [448]3 years ago
5 0

Answer:

Step-by-step explanation:

{ - 9, - 4, - 1}

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A data set has a normal distribution with a mean of 47 and a standard deviation of 4.6. Use this information to scale the horizo
gulaghasi [49]

Horizontal axis with 1, 2, and 3 standard deviations above the mean are 51.6, 56.2, 60.8

Horizontal axis with 1, 2, and 3 standard deviations below the mean are 42.4, 37.8, 33.2

<u>Step-by-step explanation:</u>

A data set has a normal distribution with a mean of 47 and a standard deviation of 4.6

  • Mean, M ⇒ 47
  • Standard deviation ⇒ 4.6

From this information, you have to scale the horizontal axis with the mean of this distribution and values at 1, 2, and 3 standard deviations above and below the mean.

Horizontal axis with 1, 2, and 3 standard deviations above the mean :

1 standard deviation above the mean ⇒ M + SD

⇒ 47 + 4.6 = 51.6

2 standard deviations above the mean ⇒ M + 2SD

⇒ 47 + (2 × 4.6) = 56.2

3 standard deviations above the mean ⇒ M + 3SD

⇒ 47 + (3 × 4.6) = 60.8

Horizontal axis with 1, 2, and 3 standard deviations below the mean :

1 standard deviation below the mean ⇒ M - SD

⇒ 47 - 4.6 = 42.4

2 standard deviations below the mean ⇒ M - 2SD

⇒ 47 - (2 × 4.6) = 37.8

3 standard deviations below the mean ⇒ M - 3SD

⇒ 47 - (3 × 4.6) = 33.2

8 0
3 years ago
Which graph represents the piecewise-defined function?
Valentin [98]

Answer: The below figure shows the graph of f(x).

Explanation: Given function, f(x)=\begin{cases}5 & \text{ if } x6 \end{cases}

Since, here three conditions are given,

In first case for values x<-5 , f(x)=5, so we get a line y=5 parallel to x-axis which passes through point (0,5).

In second case, for values  -5\leq x\leq 6, f(x) =-2, so we get a line y=-2 parallel to x-axis which passes through point  (0,-2).

In third case, for values x>6, f(x)=1, so we get a line y=1 parallel to x-axis which passes through point (0,1).

Thus, these three lines make the piecewise-defined function f(x).

7 0
3 years ago
Read 2 more answers
The table below shows an inequality and a number by which to multiply both sides.
Paraphin [41]

Answer:

10>-15

Step-by-step explanation:

4 0
3 years ago
plzzz help smart people, its math will mark branilyest (DONT ANSWER IF YOU DONT KNOW THIS TYPE OF MATH PLZZ SHOW WORK)
sveta [45]

Answer:

6) 15

7)5

8)120 degrees

9)60 degrees

10)9

Step-by-step explanation:

GHIJ is a parallelogram.

Opposite sides of a parallelogram are congruent.

3y - 1 = 2y + 1

3y - 2y = 1 + 1

y = 2

Opposite sides of a parallelogram are congruent.

4x + 3 = x + 12

4x - x = 12 - 3

3x = 9

x = 9/3

x = 3

6)GH = ?

GH = 4x + 3

GH = 4(3) + 3

= 12 + 3

= 15

therefore, GH = 15

7) HI = ?

HI = 2y + 1

= 2(2) + 1

= 4 +1

= 5

therefore, HI = 5

Opposite angles of a parallelogram are equal.

8) m(angle I) = 120 degrees...... (given)

therefore, measure of angle G = measure of angle I

therefore, m(angle G) = 120 degrees

Consecutive angles of a parallelogram are supplementary.

9) m(angle I) + m(angle J) = 180 degrees

120 + m (angle J) = 180

m(angle J) = 180 - 120

= 60 degrees.

The diagonals of a parallelogram bisect each other.

10) JK = 9 .........( given)

JK = HK

therefore, HK = 9

5 0
3 years ago
What is the sum of 1/10+8/100
galben [10]
\frac{1}{10} + \frac{8}{100} = \frac{10}{100} + \frac{8}{100}= \frac{10+8}{100}=\frac{18}{100} = \frac{9}{50}
8 0
3 years ago
Read 2 more answers
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