The final margin of an NFL football game is approximately normally distributed, with a mean equal to the gambling point spread and a standard deviation of 14 points. Recall the great 2008 Super Bowl in which the Giants upset the Patriots. The Patriots had been favored by 12 points. What does that fact imply about the Giants' initial (i.e., pre-game) chances of winning

Answers

Answer 1

Answer:

The Giants had 0.1949 = 19.49% probability of winning initially.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean equal to the gambling point spread and a standard deviation of 14 points. The Patriots had been favored by 12 points.

This means that [tex]\mu = 12, \sigma = 14[/tex]

What does that fact imply about the Giants' initial (i.e., pre-game) chances of winning

P(X > 0): Probability of Patriots winning.

P(X < 0): Probability of Giants winning.

So we want to find P(X < 0), which is the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - 12}{14}[/tex]

[tex]Z = -0.86[/tex]

[tex]Z = -0.86[/tex] has a pvalue of 0.1949

The Giants had 0.1949 = 19.49% probability of winning initially.


Related Questions

Help plzz best friend if sooooooooooooooooooooooooooooo

Answers

Answer:

10

Step-by-step explanation:

Am i right?

Answer:

c.10

Step-by-step explanation:

8/3.2 = 2.5 so times 2.5 by 4 to get 10

P.S. Good luck on edg

I really need help on this one, guys

Answers

Answer:

6.2 meters

Step-by-step explanation:

Use pythagorean theorem to find b:

b = √(2.8² - 2.7²) = √0.55 = 0.7 (nearest tenth)

Perimeter of triangle = sum of all its sides = 2.8 + 2.7 + 0.7

Perimeter = 6.2 meters

please i need help pleasee

Answers

The answer is 1 1/3 or one and one third or 1.3 repeating :)

The manager of a music store has kept records of
The manager of a music store has kept records of the number of CDs bought in a single transaction by customers who make a purchase at the store. The accompanying table gives six possible outcomes and the estimated probability associated with each of these outcomes for the chance experiment that consists of observing the number of CDs purchased by a randomly selected customer at the store.
Number of CDs purchased 1 2 3 4 5 6 or more
Estimated probability 0.30 0.25 0.20 0.15 0.05 0.05
(a) What is the estimated probability that the next customer purchases three or fewer CDs?
(b) What is the estimated probability that the next customer purchases at most three CDs?
How does this compare to the probability computed in part (a)?
greater than part (a)less than part (a) the same as part (a)
(c) What is the estimated probability that the next customer purchases five or more CDs?
(d) What is the estimated probability that the next customer purchases one or two CDs?
(e) What is the estimated probability that the next customer purchases more than two CDs?

Answers

Answer:

(a) [tex]P(x\le 3) = 0.75[/tex]

(b) [tex]P(x\le 3) = 0.75[/tex]

(b) is the same as (a)

(c) [tex]P(x \ge 5) = 0.10[/tex]

(d) [tex]P(x = 1\ or\ 2) = 0.55[/tex]

(e) [tex]P(x > 2) = 0.45[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccc}{CDs} & {1} & {2} & {3} & {4} & {5} & {6\ or\ more}\ \\ {Prob} & {0.30} & {0.25} & {0.20} & {0.15} & {0.05} & {0.05}\ \ \end{array}[/tex]

Solving (a): Probability of 3 or fewer CDs

Here, we consider:

[tex]\begin{array}{cccc}{CDs} & {1} & {2} & {3} \ \\ {Prob} & {0.30} & {0.25} & {0.20} \ \ \end{array}[/tex]

This probability is calculated as:

[tex]P(x\le 3) = P(1) + P(2) + P(3)[/tex]

This gives:

[tex]P(x\le 3) = 0.30 + 0.25 + 0.20[/tex]

[tex]P(x\le 3) = 0.75[/tex]

Solving (b): Probability of at most 3 CDs

Here, we consider:

[tex]\begin{array}{cccc}{CDs} & {1} & {2} & {3} \ \\ {Prob} & {0.30} & {0.25} & {0.20} \ \ \end{array}[/tex]

This probability is calculated as:

[tex]P(x\le 3) = P(1) + P(2) + P(3)[/tex]

This gives:

[tex]P(x\le 3) = 0.30 + 0.25 + 0.20[/tex]

[tex]P(x\le 3) = 0.75[/tex]

(b) is the same as (a)

Solving (c): Probability of 5 or more CDs

Here, we consider:

[tex]\begin{array}{ccc}{CDs} & {5} & {6\ or\ more}\ \\ {Prob} & {0.05} & {0.05}\ \ \end{array}[/tex]

This probability is calculated as:

[tex]P(x \ge 5) = P(5) + P(6\ or\ more)[/tex]

This gives:

[tex]P(x\ge 5) = 0.05 + 0.05[/tex]

[tex]P(x \ge 5) = 0.10[/tex]

Solving (d): Probability of 1 or 2 CDs

Here, we consider:

[tex]\begin{array}{ccc}{CDs} & {1} & {2} \ \\ {Prob} & {0.30} & {0.25} \ \ \end{array}[/tex]

This probability is calculated as:

[tex]P(x = 1\ or\ 2) = P(1) + P(2)[/tex]

This gives:

[tex]P(x = 1\ or\ 2) = 0.30 + 0.25[/tex]

[tex]P(x = 1\ or\ 2) = 0.55[/tex]

Solving (e): Probability of more than 2 CDs

Here, we consider:

[tex]\begin{array}{ccccc}{CDs} & {3} & {4} & {5} & {6\ or\ more}\ \\ {Prob} & {0.20} & {0.15} & {0.05} & {0.05}\ \ \end{array}[/tex]

This probability is calculated as:

[tex]P(x > 2) = P(3) + P(4) + P(5) + P(6\ or\ more)[/tex]

This gives:

[tex]P(x > 2) = 0.20+ 0.15 + 0.05 + 0.05[/tex]

[tex]P(x > 2) = 0.45[/tex]

15j + 15 i need this ASAP will give brainlyest

Answers

Answer:

15 ( j + 1)

Step-by-step explanation:

You need to factor it.

15 ( j +1 )

= 15j + 15 ✔

How do I write a polynomial when given the zeros

Answers

Answer:

Given the zeros of a polynomial, you can very easily write it -- first in its factored form and then in the standard form. Subtract the first zero from x and enclose it in parentheses. This is the first factor. For example if a polynomial has a zero that is -1, the corresponding factor is x - (-1) = x + 1.

Step-by-step explanation:

A table contain 30 milligrams of medications. How many tablets will be needed to provide with 240 milligrams of medication

Answers

Answer:

8 tablets

Step-by-step explanation:

Answer:

8 tablets

Step-by-step explanation:

240/30

(-1 1/2) * 2/3 =
pls i need help!!

Answers

Answer: -1

Step-by-step explanation:

[tex]\bigg (-1\dfrac{1}{2} \bigg) \cdot \dfrac{2}{3} =-\dfrac{3}{2} \cdot \dfrac{2}{3} =-1[/tex]

Choose the graph of the linear equation 24x + 64y = 384!
?

pls answer fast

Answers

1
............................

Answer: A the first one

What is the value of the following expression when b = -2 and C = 3? -12b + 5c - 15

Answers

Answer:

-24

Step-by-step explanation:

12(-2)+5(3)-15

-24+15-15

-24+15

-9-15

= -24

Pls help meeeeeee ahhhhhhh!

Answers

Answer: 8x+7

Step-by-step explanation:

The first thing you need to do is multiply (x+1) by 7 (this is the part where you use the distributive property). x times 7 is 7x and 1 times 7 is 7. So now you should have x+7x+7. Now just combine like terms. You can add x and 7x but you can't add the one because there is no variable (x) in it. Your final answer should be 8x+7. Hope this helps!


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Marine biology ;;;;;;;;;;;;;;;;;

Answer:

D

Step-by-step explanation:

please help mee with this thing

Answers

it’s c) but my answer has to me 20 things long so yah
The answer is C because the shape is the same and the size of the sides have increased by the same ratio

40% of
a number is 8 more than the
number
Which is the number

Answers

Do you mean 8 more smaller if so the answer to your question is
X+y=40
Y=8 + x
Substituting the second equation into the first:
X+(8+x)=40
2x+8=40
2x=32
Smaller number: x=16
Y=8+(16)
Large number: y=24

Classify the following triangle. Check all that apply. A. Scalene B. Right C. Acute D. Equilateral E. Obtuse F. Isosceles ​

Answers

Answer:

E and F

Step-by-step explanation:

The triangle given has two equal sides, and an obtuse angle that is more than 90° that measures 120°. The other two angles are of equal measure since their opposite sides are of the same length. Thus, this implies that it is an isosceles triangle because it has two equal base angles and two equal sides. It also implies that it is an obtuse triangle since one of it's angles is more than 90°.

Answer:

the correct answer is acute and scalene

this is confusing, i need help​

Answers

Answer:

Step-by-step explanation:

2. SV ║TU

3. SV ≅TU  

7. corresponding sides of congruent Δ are congruent

8. quadrilaterals that have one set of opposite sides ║ and ≅ are parallelograms

4) -3x – 2y = -17
9x + 2y = 23
A) (1,7)
B) (10, 7)
C) (5, 7) D) (-7,7)

Answers

Answer:

A). (1, 7)

Step-by-step explanation:

-3x – 2y = -17

9x + 2y = 23

____________+

6x = 6

x = 6/6

x = 1

9x + 2y = 23

9(1) + 2y = 23

9 + 2y = 23

2y = 23 - 9

2y = 14

y = 14/2

y = 7

Akili has two tests next week. The probability that he will pass the first test, science, is 3 4 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 4 5 ; otherwise, the probability is only 1 3 that he will pass the math test. What is the probability he passes exactly one test

Answers

Answer:

0.2333 = 23.33% probability he passes exactly one test

Step-by-step explanation:

We have these following probabilities:

3/4 probability that he passes the first test.

If he passes the first test, 4/5 probability that he passes the math test.

If he does not pass the first test, 1/3 probability that he passes the math test.

What is the probability he passes exactly one test

Two scenarios:

Pass first(3/4 probability) and fails second(1/5 probability).

Fails first(1/4 probability) and passes second(1/3 probability). So

[tex]p = \frac{3}{4}*\frac{1}{5} + \frac{1}{4}*\frac{1}{3} = \frac{3}{20} + \frac{1}{12} = \frac{9 + 5}{60} = \frac{14}{60} = 0.2333[/tex]

0.2333 = 23.33% probability he passes exactly one test

How long a ladder must you have to reach the top of a 15-foot wall if the bottom of the ladder is placed 4 feet from the base of the wall? Round to the nearest tenth of a foot.
14.5 ft
15.5 ft
17.0 ft
19.0 ft

Answers

Answer:

15.5

Step-by-step explanation:

on edguenity

Answer:

15.5

Step-by-step explanation:

trust

Killian has $25 in his bank account. He wants to have at least $100. Working for his dad he earns $7.50 for each hour. Write an inequality that would help you find the number of hours he needs to work.

Answers

Answer:

Step-by-step explanation:

100-25<= 7.5x

x >= 10

Answer:

Responsability+nopartyscapes=200$!!!!

Step-by-step explanation:

Find the volume of a triangular prisim with the following dimensions.
Base= 5
Height= 3
Length= 8​

Answers

So I think it would be 55 because the base times the height = 15 and base length = 40

Answer:

60³

Step-by-step explanation:

Hi again.

This time we are working with a triangular prism which is a bit trickier than a rectangular prism but it is still pretty easy once you know the formula.

The formula for a triangular prism is :

V = 1/2 x b x h x l

Or in full terms :

Volume = 1/2 x Base x Height x Length

So basically we are going to plug in the base , height, and width like we did before but this time at the end we are going to divide it in half.

So like last time, lets look at what we are given :

Base = 5

Height = 3

Length = 8

And now we put these numbers into the formula :

Volume = 1/2 x Base x Height x Length

Volume = 1/2 x 5 x 3 x 8

Lets save the 1/2 for last and do the others first.

So we can do 5 x 3 and get 15.

Then 15 x 8 and we get 120.

Now the equation is literally :

Volume = 1/2 x 120

(This is the same as 120 / 2 just in multiplication terms)

So lets do this :

120 / 2

=

60

So now we have your answer :

Volume = 60³

(Don't forget the little 3)

Again, I hope this helps!

Any questions or concerns please comment or message me ofc :)

Find the value of x.
125°= (5x + 30)

Answers

Answer: the answear is 19

Step-by-step explanation:

first you subtract 30 from the 30 and the 125 which takes out the 30 and makes the 125, 95

second you divide 5 by 5 and cross it out

then you divide 95 by 5 and get 19 which is your answer

Please help me it’s sixth grade math

Answers

Answer:

its and absolute value

1. 5

2. 12.9

Need help finding angle A,B,C,D!!

Answers

I would double check but I believe that a=102. b=78. c=64 and d=116.
Keep in mind that a line=180 degrees. I hope this helps.

This is equation
I don't know how to do
so can anyone tell me plz
with explanation it will help me alot ❤​

Answers

Answer:

[tex] - \frac{10}{9} [/tex]

What is the decimal multiplier to decrease by 0.4%

Answers

Answer:

.004

Step-by-step explanation:

translate the percent to a decimal

Answer:

0.996

Step-by-step explanation:

for a decrease u need to transfere to a decimal then take it away from 1

Factor the polynomial completely.
x^4 – 256

Answers

Answer:

(x²+16)(X+4)(x-4)

Step-by-step explanation:

x⁴ can be written as (x²)²

256 can be written as (16)²

by identity. a²-b²= (a+b)(a-b) :

(x²+16)(x²-16)

x²-16 can be written as (x)²- 4²

by identity. a²-b²= (a+b)(a-b) :

(X+4)(x-4)

Therefore, the factors altogether would be

(x²+16)(x+4)(x-4)

Select the correct answer.
Which of the following tables corresponds to the equation below?
y =
O
A.
I
0
1
3
4
5
y
1
4
16
64
256 1,024
B.
0
1
2
3
4
5
y
0
1
4
16
64
4
0
1
2
3
4
5
4
12 /
1
4
16
64
256
D.
0
1
3
4
y
1
4
8
12
16
+

Answers

Answer:

A.

Step-by-step explanation:

The table that corresponds to the equation y = ¹/₄(4ˣ) is; Table C

How to simplify an equation?

We are given the equation; y = ¹/₄(4ˣ)

At the input value of x = 0;

x = ¹/₄(4⁰)

x = ¹/₄

At the input value of x =  1;

y = ¹/₄(4¹)

y = 1

At the input value of x = 2;

y = ¹/₄(4²)

y = 4

At the input value of x = 3;

Thus;

y = ¹/₄(4³);

y = 16

At the input value of x = 4;

y = ¹/₄(4⁴)

y = 64

At the input value of x = 5;

y = ¹/₄(4⁵)

y = 256

Read more about Equations at; https://brainly.com/question/2972832

#SPJ6

Al sumar 2x+5y-4z+9 y 2x-4y+6 se obtiene?

Answers

Answer: (Responder)

4x + y + 15 – 4z

Step-by-step explanation: (Explicación paso a paso)

(2x + 5y – 4z) + (9 + 2x – 4y + 6)

Group Like Terms (Agrupar términos similares)

2x + 2x + 5y – 4y – 4z + 9 + 6

Add Similar Elements (Agregar elementos similares)

4x + 5y – 4y – 4z + 9 + 6

4x + y – 4z + 9 + 6

Add The Numbers (Suma los números)

4x + y + 15 – 4z

Write the equation of a parabola in vertex form,
f(x) = a(x – h)2 +k, with vertex (-1, 8) and
passing through (3,4)
You must show your work to receive full credit

Answers

Answer:

Step-by-step explanation:

Vertex-form equation for a vertical parabola with vertex (h,k):

y = a(x-h)²+k

Plug in coordinates of vertex:

y = a(x+1)²+8

plug in (3,4) and solve for a:

4 = a(3+1)²+8

a = -¼

The equation of the parabola is

y = -¼(x+1)²+8

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