When Victoria goes bowling, her scores are normally distributed with a mean of 130 and a standard deviation of 11. What is the probability that the next game Victoria bowls, her score will be between 123 and 130, to the nearest thousandth?
Answer:
0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 130 and a standard deviation of 11.
This means that [tex]\mu = 130, \sigma = 11[/tex]
What is the probability that the next game Victoria bowls, her score will be between 123 and 130?
This is the p-value of Z when X = 130 subtracted by the p-value of Z when X = 123. So
X = 130
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{130 - 130}{11}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5
X = 123
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{123 - 130}{11}[/tex]
[tex]Z = -0.64[/tex]
[tex]Z = -0.64[/tex] has a p-value of 0.2611
0.5 - 0.261 = 0.239
0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130
Can someone please help me I will mark u brilliant
Answer:
25
Step-by-step explanation:
The median of a set is the number in the middle of the set in this case it is 25
Simplify: −2x−y−2z+4x−2y+3z
Answer:
2x - 3y + z
Step-by-step explanation:
hope this helped :]
In a completely randomized experimental design involving three assembly methods, 30 employees were randomly selected and 10 were assigned to each of the three methods. The time required to complete the task was recorded. The following information is provided: MSTR = 45.89 and MSE = 6.27. What is the critical value of F if we want to determine whether the means of the three populations are equal at the 5% level of significance?
Answer:
The answer is "3.35".
Step-by-step explanation:
Treatment independence degree
[tex]= 3 - 1 \\\\= 2[/tex]
Grade of error independence
[tex]= 30 - 3 \\\\= 27[/tex]
[tex]\alpha = 0.05[/tex]
F is the critical value[tex]= 3.35[/tex]
with the use of the critical value table F or the Excel command [tex]FINV(0.05,2,27)[/tex]
I Jen has an account balance of more than $15. Is her account balance greater than or less than a debt of $20? Fully explain your reasoning in writing.
Which expression is equivalent to 7t + 2)?
1. 7t + 14
2. 7t +9
3. t+9
4. t+14
Answer:
1.
Step-by-step explanation:
7 * t = 7t
7 * 2 = 14
7(t+2) = 7t + 14
Which measurement can be used to describe the size of an angle?
90 grams
90 degrees
90 milliliters
90 inches
Do
Answer:
90 degrees
Step-by-step explanation:
grams is a unit of mass
degrees is a unit of angle measure
milliliters is a unit of volume
inches is a unit of length
WILL MARK BRAINLIEST!!!!!
In A ABC, AB= 6 cm, AC= 15 cm, and mZA= 48°
What is the area of A ABC?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
cm?
Answer:
33.44 cm²
Step-by-step explanation:
sorry if incorrect
20. Solve for x.
25
12
20
Answer:
x = 9.6
Step-by-step explanation:
25x = 12 x 20
25x = 240
x = 9.6
Kaylee bought 2 burritos which cost $2.75 each. She also bought a drink for $3.50. How much money did Kaylee spend?
$19.25
$9
$12.50
$10
10 • (0.15 +q) for q= 2.6
Answer:
27.5
Step-by-step explanation:
Please let me know if you want an explanation for why this is the answer (comment on this answer). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!
What is the first step in evaluating the expression shown below? (12 ÷ ( 7 . 4 − 3 . 6 ) + 8 − 2) A. Subtract 7 . 4 − 3 . 6 . B. Divide 12 ÷ 7 . 4 . C. Add 3 . 6 + 8 . D. Subtract 8 − 2 .
Answer:
A
Step-by-step explanation:
(12 ÷ ( 7 . 4 − 3 . 6 ) + 8 − 2)
Follow the order of operations, the first thing to do would be the parenthesis.
7.4 - 3.6 = 3.8
So, your answer would be A, Subtract 7 . 4 − 3 . 6.
Have a wonderful day!
Answer:
A hope you get it right
(☞ﾟヮﾟ)☞ ¯\_(ツ)_/¯
write this number in words "5397024"
Answer:
fifty three lakh ninty seven thousand twenty four
five million three hundred ninety-seven thousand twenty-four
Meghan walked 1.67 fewer miles than Ellie. Ellie walked 5.34 miles. How many more miles did Meghan walk?
Answer:
7.01 miles
Step-by-step explanation:
5.34 + 1.67 = 7.01 miles
the term “more” indicates adding 2 or more numbers
what the the opposite of - 4.1 ?
Answer:
The opposite of -4.1 is 4.1.
opposites are the same number but either with a + sign or a - sign
EX)
7, -7
5, -5
4, -4
1) Kyle puls $740 in the
bank for 5.5 years with a
27% interest rate. How
much money does he
have in the bank all
together after 5.5
years
Answer:
1,838.90
Step-by-step explanation:
Annual interest rate 27%=0.27 per year.
Solving our equation:
A = 740(1 + (0.27 × 5.5)) = 1838.9
A = $1,838.90
Binomial distributions
The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 52.5%. What is the probability that in a random sample of 430 voters, less that 49.6% say they will vote for the incumbent?
Answer: the vote will get 82.45%
Step-by-step explanation:
I need the answer fast pls
Answer:
C. is the correct answer
f(x) = 3x2 – 2x - 9
g(x) = 3x2 + 2x2 - 4x - 9
Find (f - g)(x).
9514 1404 393
Answer:
(f -g)(x) = -3x^3 +x^2 +2x
Step-by-step explanation:
We assume the expression for g(x) has a typo, and the first term should be 3x^3.
(f -g)(x) = f(x) -g(x) = (3x^2 -2x -9) -(3x^3 +2x^2 -4x -9)
= 3x^2 -2x -9 -3x^3 -2x^2 +4x +9
= -3x^3 +(3 -2)x^2 +(-2+4)x +(-9+9)
(f -g)(x) = -3x^3 +x^2 +2x
The slope of the line below is -2. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y side.
Answer:
y=-2x-3
Step-by-step explanation:
Since the slope is -2, we can make an equation : y=-2x+b
Now plug in the point given to find b.
1=-2(-2)+b
1=4+b
b=-3
so, the equation is y=-2x-3
In how many ways can you answer 15 true/false questions
Answer:
32768
Step-by-step explanation:
Each question has 2 options.
On a true/false test with one question, there are 2¹, or 2 possible answers
On a test with 2 questions, there are 2², or 4 possible answers.
On a test with 3 questions, there are 2³, or 8 possible answers.
So, 2¹⁵ = 32768 possible ways.
What value of X makes the equation true -7x - (-5-x) = -9(2x-1) -
Answer:
x=17/9
Step-by-step explanation:
-7x-(-5-x)=-9(2x-1)
= -7x+5x+x= -18x+9
= -x= -18x+9
+18x +18x
=17x=9
x= 17/9
Hope this helps!
Answer:
-7x -(-5-x)=9(2x-1)
-7x+5x+x=18x+9
-x=-18x+18x
17x=9
x=17/9
Step-by-step explanation:
hopes this help
Question 20 of 25
What is the quadratic regression equation that fits these data?
Number of seconds Height (in feet)
x. y
0. 11
1. 13
2. 13
3. 12
4. 9
5. 1
A. y = -3.07x^2 +0.41x + 15.65
B. y=19.61(0.69^2)
c. y= -2.34x^2 + 2.19x + 16.25
D. y = -1.11x^2 + 3.74x + 10.64
Answer: The person who said it's D is right
Step-by-step explanation: I took the test and I got it right
The quadratic regression equation that fits these data is -1.107 X² +3.736 X +10.643 .
What is Quadratic Regression ?A quadratic regression is the process of finding the equation of the parabola that best fits a set of data. As a result, we get an equation of the form:
y=ax2+bx+c where a≠0 .
The best way to find this equation manually is by using the least squares method.
That is, we need to find the values of a ,b, and c such that the squared vertical distance between each point (xi,yi) and the quadratic curve y=ax2+bx+c is minimal.
After solving we get the values of a , b, and c and thus we form the equation
-1.107 X² +3.736 X +10.643
To know more about Quadratic Regression
https://brainly.com/question/732489
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Area and Perimeter in Context
You live in a big house. The master bathroom is 12 by 20 feet. Calculate the area of your bathroom.
a. 100 sq. ft
b. 240 sq. ft
c.180 sq. ft
d. 170 sq. ft
Please select the best answer from the choices provided
Answer:
B. 240 sq. ft
Step-by-step explanation:
I calculated it logically
A video store charges $5 per game rental plus $12 to rent the game system. Write an expression for renting the game system and a number of games
i need some help with this question
Answer:
186.8yards
Step-by-step explanation:
This is a right angle triangleSo apply Pythagoras Theron[tex] \\ \rm \mapsto \: {h}^{2} = {p}^{2} + {b }^{2} \\ \\ \rm \mapsto \: h = \sqrt{ {p}^{2} + {b}^{2} } \\ \\ \rm \mapsto \: h = \sqrt{ {50}^{2} + {180}^{2} } \\ \\ \rm \mapsto \: h = \sqrt{2500 + 32400} \\ \\ \rm \mapsto \: h = \sqrt{34900} \\ \\ \rm \mapsto \: h = 186.8[/tex]
Answer:
187
Step-by-step explanation:
[tex]50^{2}[/tex] + [tex]180^{2}[/tex] = 2500 + 32400
2500 + 32400 = 34900
[tex]\sqrt{34900}[/tex] = 186.81541692269406
what is the area of a square with its side length of s cm
Answer:
Step-by-step explanation:
Answer:
The area is s².
Step-by-step explanation:
The area of a square is the length times the width. Because it's a square, the length and width are the same, so instead of multiplying the length and width, we can take the length of one side and square it. You said the length is "s", which I assume is a variable, so the area will equal s ⋅ s, or s².
Solve for x.
9
2x-111
X
= [?]
Answer:
x=94
Step-by-step explanation:
I hope I'm correct. Here's my explanation: x+9 and 2x-111 would equal 180, hence the line (supplementary). So x+9+2x-111=180
x=94
hope this helps.
Step-by-step explanation:
x+9=2x-111( being corresponding angles )
x=2x-111-9
x-2x=-120
-x=-120
x=120
PLEASE HELP ASAP!!!!
If two angles are adjacent and add up to 130º and one angle is 89º, what is the measure of the other angle?
Answer:
41
Step-by-step explanation:
130-89= other angle whic is 41
The table below shows the values for the function
y = f(x).
Complete the table for the
function
y = f(1/5x).
Given:
The table of values of function [tex]y=f(x)[/tex] is given.
To find:
The table of values of function [tex]y=f(\dfrac{1}{5}x)[/tex].
Solution:
The horizontal stretch is defined as:
[tex]g(x)=f(ax), 0<a<1[/tex]
Here, f(x) is horizontally stretched by factor a to get g(x).
The given function is:
[tex]y=f(\dfrac{1}{5}x)[/tex]
It means the function [tex]y=f(x)[/tex] is horizontally stretched by factor [tex]\dfrac{1}{5}[/tex] to get [tex]y=f(\dfrac{1}{5}x)[/tex].
So, we need to multiply the given x-values by 5 to get the required table of values.
Therefore, the required table of values is:
x y
-20 7
-5 -2
0 3
15 -4
30 5