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castortr0y [4]
2 years ago
15

Suppose that Clayton Kershaw of the Los Angeles Dodgers throws his fastball with a mean velocity of 94 miles per hour (mph) and

a standard deviation of 2 mph and that the distribution of his fastball speeds can be modeled by a Normal distribution What percent of Kershaw’s fastballs will travel at least 100 mph?
Mathematics
1 answer:
vekshin12 years ago
8 0

Answer:

Step-by-step explanation:

ah,  probability,  so the std. deviation is 2 MPH,  so that means to get from the mean.. or average speed of 94, he'll have to vary by 3 std. deviations  or  6 MPH to hit 100

99.7%  of throws fall into that area of with in 3 std. deviations so that means

0.3% fall outside also , 1/2 of those will 3 std. deviations slow while the other half is fast

so

0.15%  will be 100 or faster.... not many

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7. All of the following are perfect square trinomials EXCEPT one. Which is it?
wolverine [178]

Answer:

All answers EXCEPT answer C. are perfect square trinomials.

Step-by-step explanation:

A perfect square trinomial is polynomial that satisfies the following condition:

(a+b)^{2} = a^{2}+2\cdot a \cdot b + b^{2}, \forall\,a,b\in\mathbb{R}

Let prove if each option observe this:

a) 4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}

1) 4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2} Given

2) (2\cdot x)^{2}+ 2\cdot (2\cdot x)\cdot (3\cdot y)+(3\cdot y)^{2} Definition of power/Distributive, associative and commutative properties.

3) a = 2\cdot x, b = 3\cdot y Definition of perfect square trinomial/Result.

b) 9\cdot a^{2}-36\cdot a + 36

1) 9\cdot a^{2}-36\cdot a + 36 Given.

2) (3\cdot a)^{2}-2\cdot (3\cdot a)\cdot 6 + 6^{2} Definition of power/Distributive, associative and commutative properties.

3) a = 3\cdot a, b = 6 Definition of perfect square trinomial/Result.

c) x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}

1) x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2} Given

2) x\cdot y\cdot (1-4\cdot x+4\cdot x) Distributive property.

3) x\cdot y \cdot 1 Existence of the additive inverse/Modulative property.

4) x\cdot y Modulative property/Result.

d) a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}

1) a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4} Given

2) (a\cdot b)^{2}+2\cdot (a\cdot b)\cdot (2\cdot a^{2})+(2\cdot a^{2}) Definition of power/Distributive, associative and commutative properties.

3) a = a\cdot b, b = 2\cdot a^{2} Definition of perfect square trinomial.

All answers EXCEPT answer C. are perfect square trinomials.

8 0
3 years ago
Isabel need to cut a square piece of wood with the area of 70 in.² approximate the size of the square round to the nearest 10th
babymother [125]

Answer:

8.4 in by 8.4 in

Step-by-step explanation:

The area of a square is the side length squared.

Let s be the side length:

s^2 = 70

s = \sqrt(70) = 8.4 in

3 0
2 years ago
In scientific notation is 14,200 000 becomes 1.42 x10'5
lyudmila [28]
You are correct with the 1.42 but wrong with the 10^5
Count the digits after the 1, which is 7. So it should be
1.42 x 10^7
6 0
3 years ago
I need the answer for question 15 a and b
trasher [3.6K]
A is 14 total 
B is yes because the gained 11 and lost 3 which means they gained 8 after taking away the ones lost and they are still on the positive side so they keep th ball.

7 0
3 years ago
Read 2 more answers
I need the answer in under 34 min
MissTica

Answer:

I. 1 cup is $4.50

2 cups is $9.00

3 cups is $13.50

ll. 6 cups is $27.00

Step-by-step explanation:

Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00

then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.

therefore 6 cups is 6•18/4 which is $27.00.

hence 5 cups is 5•18/4 which is $22.50.

4 0
3 years ago
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