All categories

3 years ago

Find the mean. Z-score = -1.4 Standard Deviation: 7 x = 20

Mathematics

1 answer:

Umnica [9.8K]3 years ago

8 0

Answer:

9.6

Step-by-step explanation:

You might be interested in

are any two regular polygons similar. The area of the smaller figure is about 390 cm^2. choose the best estimate of the area of

galben [10]

Answer:

The best estimate of the area of the larger figure is $693\ cm^{2}$

Step-by-step explanation:

step 1

<em>Find the scale factor</em>

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x-----> the corresponding side of the larger figure

y-----> the corresponding side of the smaller figure

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

we have

$x=12\ cm$

$y=9\ cm$

substitute

$z=\frac{12}{9}=\frac{4}{3}$ -----> the scale factor

step 2

<em>Find the area of the larger figure</em>

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x-----> the area of the larger figure

y-----> the area of the smaller figure

$z^{2}=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=390\ cm^{2}$

substitute and solve for x

$(\frac{4}{3})^{2}=\frac{x}{390}$

$(\frac{16}{9})=\frac{x}{390}$

$x=390*16/9=693.33\ cm^{2}$

4 0

2 years ago

What is the constant of proportionality in the equation y=5x?

zaharov [31]

Answer: The constant of proportionality is 5 because the equation would be y=kx but instead of k it has 5.

5 0

2 years ago

Find the value of each variable

shepuryov [24]

The value of the variable d is 10.

3 0

2 years ago

Find the difference 7/9 - 5/13 in lowest term

Hoochie [10]

Answer:

46/117

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Let f(x)=−1/2(x+2)^2+5 .

jolli1 [7]

Answer: 2

Explanation:

The average rate of change is the net change of the function, i.e. final value less initial value, divided by the interval:

                                                     f(b) - f(a)       f(1) - (f(-3)
average change rate from a to b = ---------------- = ---------------
                                                     b - a             1 - (-3)

f(1) = -(1/2) (1 + 2)² + 5 = -(1/2) (3)² + 5 = 5 - 9/2 = 1/2

f(-3) = -(1/2) ( -3 + 2)² + 5 = -(1/2) (-1)² + 5 = 5 - 1/2 = 9/2

                                         (1/2) - (9/2)
average change rate = -------------------- = 2
                                             1 - 3
That is the answer.

8 0

2 years ago

Read 2 more answers