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Ksju [112]
3 years ago
8

A softball pitcher has a 0.42 probability of throwing a strike for each pitch. If the softball pitcher throws 20 pitches, what i

s the probability that exactly 7 of them are strikes?
Round your answer to three decimal places.
Mathematics
1 answer:
IrinaK [193]3 years ago
5 0

Answer: 0.15

Step-by-step explanation:

7 (0.42)/ 20

You might be interested in
Jayda is buying notebooks for school the cost of each notebook is $1.75 write an equation that shows the cost of Jada's notebook
maks197457 [2]

Answer:

1.75*C=N

Step-by-step explanation:

N=Notebooks

C=Cost

N= 4

3 0
2 years ago
A lidless box is to be made with a volume of 256256 ft cubed 3. Find the dimensions of the box that requires the least amount of
sveta [45]

The optimum shape of such a box is half a cube. The corresponding cube will have a volume of 2×256 ft³ = 512 ft³ = (8 ft)³. Such a box has a square base that is 8 ft on a side. If the height is half that of the cube, it will be 4 ft.

The dimensions of your box will be 8 ft square by 4 ft high.

_____

If the base dimension is x ft, the area (quantity of material) is

... a = x² + 4x(256/x²)

... a = x² + 1024x⁻¹

Then the derivative of area with respect to x is

... a' = 2x -1024x⁻²

Setting this derivative to zero and solving for x gives the value of x for minimum area.

... 0 = 2x -1024/x²

... 512 = x³

... x = 8 . . . . . . . . same as above.

7 0
3 years ago
4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).
Natalka [10]

The zeros of

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

are

x=0,x=-2,x=-5x=0,x=−2,x=−5

EXPLANATION

The given function is

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

To find the zeros of the above function, we just have to equate the function to zero and solve for x.

x(x + 2)(x + 5) = 0x(x+2)(x+5)=0

This implies that,

x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0

x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5

To graph the above function, we need to consider the multiplicity.

We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.

We also need to consider the position of the graph on the following intervals,

x < - 5x<−5

When

x = - 10x=−10

y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0

The graph is below the x-axis.

- 5 \: < \: x \: < \: - 2−5<x<−2

When

x = - 3x=−3

y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0

The graph is above the x-axis.

- 2 \: < \: x < \: 0−2<x<0

when

x = - 1x=−1

y = -1(1)(4) \: < \: 0y=−1(1)(4)<0

The graph is below the x-axis.

Finally the interval,

x \: > \: 0x>0

when

x = 1x=1

y = 1(3)(6) \: > \: 0y=1(3)(6)>0

The graph is above the x-axis.

We can now use the above information to sketch graph as shown in the diagram above

3 0
2 years ago
A smartphone costs ​$120. Sales tax is 5​%. What is the total​ cost, including​ tax?
miv72 [106K]

Since 100% = $120,

105% = $126.

3 0
3 years ago
The equation 4 ( x - 2 ) = 100 is a true equation for a particular value of x. Explain why 2 ( x - 2 ) = 50 is also true for the
KatRina [158]

Answer:

a) 4(x - 2) = 100

4x - 8 = 100

4x = 92

x = 23

b) 2(x - 2) = 50

2x - 4 = 50

2x = 46

x = 23

Step-by-step explanation:

When solving for x in both equations, we get the same value of x which makes that statement true.

3 0
2 years ago
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