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
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.
please help what is this help
Carrie is 36 years old. She has worked in the same store for 12 years. Today, she had 63 customers. How old was Carrie when she began working in the store?
A. 24
B. 27
C. 48
D. 51
Answer:
A. 24
Step-by-step explanation:
What is Max’s final number of his number if his starting number is 7?
Answer:
30
Step-by-step explanation:
(n+8)=2(7+8)=2(15)=30
Answer:
30
Step-by-step explanation:
Find the value of X please hurry
Answer:
x=23
Step-by-step explanation:
90-65=25
25-2=23=x
4x + 10 > 54 how do I solve this
Answer:
4x + 10 >54
-10. -10
4x> 44
/4. /4
x= 11
4(11) +10 >54
44+10.>54
54>54
the answer is false since they're both equal
Quadrilateral ABCD with vertices A(-9, 2), B(-8, 8), C(-4, 6), and D(-2, 2) is shown. You want to reflect quadrilateral ABCD in the
vertical line that passes through the midpoint of BC . Graph the line of reflection and the image after the reflection.
Answer:
See explanation.
Step-by-step explanation:
Graph the quadrilateral. By inspection, you can tell where the midpoint is. (see attachment 1)
Now, I'll draw a line through it. (see attachment 2)
To reflect across a line, think about the points traveling across the line the same number of spaces the point is from the line. For example, point A is three away from the line. So, A' will be 3 away from the other side. The coordinates will be at (-3,2). (see attachment 3).
Do the same for the other points, and you'll have your image.
4 out of the 8 balloons in a bunch are red.
What is the probability that a randomly selected balloon will be red?
Answer:
There is a 50/50 chance that there would be a red balloon selected. If you need the decimal version, .50
or, in fraction form
1/2
Solve for “x” x+2 1/2=10.
Answer:
x = 7.5
Step-by-step explanation:
x + 2 1/2 = 10
Subtraction Property of Equality
x = 7 1/2 as a mixed number = 15/2 as an improper fraction = 7.5 in decimal form
I usually prefer decimal form
Subtract.
78.9−5.64 Pls help
Answer:
73.26
Step-by-step explanation:
I hope this helps :)
Answer:
73.26 is your answer.
Step-by-step explanation:
Help please !!
The table below represents a linear function. What is the slope of the graph of this function? input X: -2, -1, 0, 1, 2. output Y: -3, -1, 1, 3, 5
Answer:
2
Step-by-step explanation:
Rise/ run
y/x
Once you graph the ordered pairs you will have
(-2,-3) (-1,-1) etc...
it will work out to be up two over one 2/1 which equals two
r=26 in. find the diameter.
Answer:
see
Step-by-step explanation:
diameter=2×pi×r
diameter. 2.22/7.r
4y/2x evaluate the expression when x=4 and y= -6
AnswerJust plug in x=-3, y=2 and z=-1 and simplify to get 2%28-3%29-%284%282%29-3%29%2B5%28-3%29%28-1%29=-6-%288-3%29%2B15=-6-5%2B15=4. So 2x-%284y-3%29%2B5xz=4 when x=-3, y=2 and z=-1
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
Plug in 4 as x and -6 as y
4y/2x
4(-6) / 2(4)
-24 / 8
= -3
So, the expression is equal to -3
What is the value of z in the equation 2 (4z − 9 − 11) = 166 − 46? (1 point)
A. 15
B. 20
C. 30
D. 35
Answer:
B. 20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Plz guys help me plz
Answer:
B
Step-by-step explanation:
✔️Rate of change using two points on the line, say (2, 60) and (3, 75);
Rate of change (m) = ∆y\/∆x = (75 - 60) / (3 - 2) = 15/1
Rate of change = 15
This means each class costs $15
✔️Initial value is the y-intercept (b). It represents the initial start-up fee.
To find initial value/y-intercept (b), substitute m = 15 and (x, y) = (2, 60) into y = mx + b.
Thus:
60 = 15(2) + b
60 = 30 + b
60 - 30 = b
30 = b
b = 30
Therefore, initial start-up fee is $30.
Select the inequality below that could have 7 as a solution.
21x ≥ 7
12+ x > 15
14x 28
In the year 2005, there were 100 rabbits in a particular region. Since then, the population has increased by 3.4% per year. Write an expression that represents the rabbit population in the year 2025, and solve it.
Answer:
Step-by-step explanation:
Your answer
Ok, lets do it systematically.
2005– 100 rabbits
3.4 % per year increasement.
So every year it increase 0.034 *100 = 3.4 per year
Total 2025-2005= 20 years
So expression is : 0.034*100*year(20)
Answer is : 3.4*20 = 68. So, in 2025, total rabbits will be 168
Mark it as Brainlist answer. Follow me.
Calculate the areas of these rectangles.
a)
8 cm
3 cm
b)
5.2 cm
7.7 cm
Answer:
a ) 24 cm
b) 40.04
Step-by-step explanation:
you literally just multiply them
Could I get some help?
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,542 was collected on the
sale of 1,158 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.
Answer:
#adult tickets sold = 346
#student tickets sold = 812
Step-by-step explanation:
let 'x' = # adult tickets sold
let 'y' = # students tickets sold
System of Equations:
x + y = 1158
5x + y = 2542
I used the elimination method and multiplied the first equation by -1
-x - y = -1158
+ 5x + y = 2542
4x = 1384
x = 346
346 + y = 1158
y = 812
can you help me out I’ll mark brain list .
Answer:
Linear-
nonlinear
Linear
Step-by-step explanation:
If the square root of 16 = x, then x2 =
Answer:
8
Step-by-step explanation:
16=x
16 square root is 4
16=4
x2
(4)2= 8
Answer:
x2 or 2x=8
Step-by-step explanation:
the square root of 16 is 4
since the other term is 2*x you plug-in numbers and get 2*4=8
1 + hk + j use h=-5, j = -6, and k = 6
Help me
9514 1404 393
Answer:
-35
Step-by-step explanation:
Put the values where the corresponding variables are and do the arithmetic.
1 + hk + j
= 1 + (-5)(6) +(-6)
= 1 -30 -6
= -35
Heidi earns $11.50 per hour plus a bonus of $105 for the week. Her goal is to earn $650 for the week. Which equation
represents the number of hours, h, Heidi will have to work to reach her goal?
Answer:
48 hours
Step-by-step explanation:
$650 - $105 = $545
$545 ÷ $11.50 = 47.39 = 48 hours (Rounded)
Please Help I Need To Answer This Quick!!....
Answer:
A+B+C=180°( BY SUM OF ALL ANGLE IS 180°)
70°+40°+C=180°
110°+C=180°
C=180°-110°
C=70°
C+X=180°(BY LINEAR PAIR)
70°+X=180°
X=180°-110°
X=70°
б – 3 = 3 + 6
Solving for the variable
Answer:
Step-by-step explanation:
Um well the variable would be 12
Answer:
The answer is 12
Step-by-step explanation:
Solve for it by simplifying both sides of the equation, then isolating the variable.
Hoped this helped!
Brainly, please?
Nick brings five pizzas to a birthday party. The boys at the birthday party eat 2/5 of the pizzas. How many pizzas did the boys eat? Explain
Answer:
2 pizzas
Step-by-step explanation:
2/5 of 5 is easy since there are 5
so 2 out of 5 is 2
Answer:
2 pizzas
Step-by-step explanation:
If there were 5 pizzas to begin with and only 2 out of that 5 were eaten, then that means they ate 2
0 0 0 0 0 pizzas started with
_ _ pizzas ate
0 0 0 pizzas left with
So if there were 3 pizzas left with, then you can subtract 3 from 5 to see how many are gone or eaten.
Hope this Helps!!!
Sarah leans a 20 ft ladder against
the side of her house so that the
base of the ladder is 14 ft from the
house ABOUT how far up the side
of the house does the ladder reach?
Answer:
(a) 14
this is what i got
please help i will give brainliest
Answer:
437/4x^5/328^1/2-445^1/21Step-by-step explanation:
hope this helps...
have a nice day
Which equation represents a parabola?
O 4x2 – 2x + 3y2– y + 1 = 0
O x2 + x - 2y2 – 4y + 2 = 0
0 -3x + 4y2 – 2y + 6 = 0
O 2x2 + y2 – 4y + 6 = 0
Answer:
C on edge
Step-by-step explanation:
Only equation of the 4 that makes a parabola
Equation 0 -3x + 4y2 – 2y + 6 = 0 represents the Parabola.
What is a Parabola?
A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line.
Finding the suitable equation:It is symmetric about the y-axis, which is an axis of symmetry.
So,
Equation 0 -3x + 4y2 – 2y + 6 = 0 represents the Parabola.
Learn more about Parabola:
https://brainly.com/question/4148030
#SPJ2
is a set that is contained in a larger set.
Answer:
I- What? yes?
Step-by-step explanation:
