If a basketball player makes 65% of all free throws in her first 5 seasons. The observed proportion is higher than the expected proportion, indicating that the player performed better than expected in her 6th season.
What is the observed frequency of her 6th season?The expected frequency of successful free throws in the 6th season can be calculated based on the player's overall success rate in the first 5 seasons. Since the player made 65% of all free throws in her first 5 seasons, we can expect her to make 65 out of 100 free throws in any given season. Therefore, the expected frequency of successful free throws in the 6th season would be:
Expected frequency = (65/100) * 150 = 97.5
The observed frequency of successful free throws in the 6th season is 105.
To compare the observed and expected frequencies, we can calculate the standardized residual (z-score) as follows:
z-score = (observed frequency - expected frequency) / sqrt(expected frequency * (1 - expected frequency / total sample size))
total sample size = 150
expected frequency = 97.5
observed frequency = 105
z-score = (105 - 97.5) / sqrt(97.5 * (1 - 97.5/150)) = 1.28
The z-score of 1.28 suggests that the observed frequency is 1.28 standard deviations above the expected frequency. This indicates that the player's success rate in the 6th season is higher than what would be expected based on her overall success rate in the first 5 seasons.
Possible explanations for the difference in frequencies could be due to factors such as improvements in the player's technique, changes in the player's physical or mental state, or random variation. It is also possible that the sample size of 150 free throws in the 6th season is not large enough to draw definitive conclusions about the player's success rate in that season.
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Suppose the national average dollar amount for an automobile insurance claim is $758.83. You work for an agency in Michigan and you are interested in whether or not the state average is less than the national average. The hypotheses for this scenario are as follows. Null Hypothesis: μ ≥ 758.83, Alternative Hypothesis: μ < 758.83. You take a random sample of claims and calculate a p-value of 0.0349 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.
A. The true average claim amount is significantly higher than $758.83.
B. The true average claim amount is higher than or equal to $758.83.
C. We did not find enough evidence to say the true average claim amount is less than $758.83.
D. The true average claim amount is significantly different from $758.83.
E. The true average claim amount is significantly less than $758.83.
Answer:
The correct option is E
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 758.83[/tex]
The null hypothesis is [tex]H_o : \mu \ge 758.83[/tex]
The alternative hypothesis is [tex]H_a : \mu < 758.83[/tex]
The p-value is [tex]p-value = 0.0349[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally from the value given we see that the p-value < [tex]\alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
The true average claim amount is significantly less than $758.83.
The owner of 12 book stores is buying 32 copy's of a book for each of his stores. How many books will he buy in all?
Answer:
384
Step-by-step explanation:
12 book stores and 32 copies of a book for each book store
12 times 32 = 384 books
monke good? yes yes yes
Answer:good
Step-by-step explanation:
monke
Answer:
monkey good
good monkey
Step-by-step explanation:
HELP ASAP
what are the root functions?
a) What are the coordinates of A?
b) What are the coordinates of B?
Answer:
A (-2.5, -1.5)
B (4.5, -3.5)
Simplify the following. -(3z)2
Answer:
the answer is ; -6z
Step-by-step explanation:
Yuri drew triangle ABC then reflected it over line m to create triangle WXY.
Yuri concludes that the triangles are congruent. Which is a correct validation for this conclusion?
When the triangle was reflected, the height of the resulting triangle is parallel to the height of the original triangle.
When the triangle was reflected, the base of the resulting triangle lies on the same line as the base of the original triangle.
When the triangle was reflected, the corresponding sides and angle measures of the resulting triangle are the same as the original triangle.
When the triangle was reflected, the corresponding sides of the resulting triangle have slopes that are opposite to the slopes of the original triangle.
Answer:
C
Step-by-step explanation:
25 points
What is an equation of a line, in point-slope form, that passes through (1, -7) and has a slope of-?
O y+7 +1)
Oy-7=-(+1)
O y+7=--1)
oy-7=-1)
Answer:
I think option C is correct
Deborah spent $70 on food and clothes she spent $26 more on clothes then on food Brighton solve a system of equations to find how much Debra spent on each
Answer:
Step-by-step explanation:
You know the total will be $70.
She bought food, let's call that "F"
She spent $26 more on clothes than food. So her clothes purchase is "F+26".
So let's set-up the equation this way:
food + clothing = Total Spent
F + F + 26 = 70
2F + 26 = 70 (subtract 26 from both sides of the = sign)
2F = 44 (Divide both sides so you find out how much was spent on "F" or food.)
F = 22 (But the question doesn't stop there.)
Deborah spent $22 on food. (Remember, she spent $26 more on clothes, so we have to use our "clothes" equation? ) Deborah spent $48 on clothes. She spent a total of $70 on her purchases.
Ahmed is saving up his money to buy a iPad that costs $319.50. Right now he has $21.95, and can save $63.00 each week. How many weeks will it take for Ahmed to have enough money to buy the iPad?
Answer:
5 weeks
Step-by-step explanation:
319.50-21.95=297.55
297.55/63.00=4.72
Since he can't wait for those many weeks, you would round it to 5 so he has enough money
Which number can be written on the line to make the inequality true?
3.91 less-than blank less-than 4.23 less-than 4.44
A number line going from 3.9 to 4.5 in increments of 0.1.
3.7... 3.9....4.1.... or 4.3 PLEASE HURRY JUST AWNSER
Answer:
3.91 < 4.1 < 4.23 < 4.44
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Solve for x: 1/3 (x-22) = 4x
x = -2
x = 34
x = 2
x = -10
Answer:
x=-2
Step-by-step explanation:
Write the formula to calculate the area of a triangle whose sides are unequal in length
Answer:
√S(S-A)(S-B)(S-C)
Step-by-step explanation:
S=(A+B+C)\2
where S= semi-perimeter
A,B and C are unequal length of triangle.
Answer:
the formula to calculate the area of a triangle whose sides are unequal in length is A=hb b/2
Use the figure below to find the length of the midsegment.
68
54
4x + 6
68
54
4x + 44
Answer:
38
Step-by-step explanation:
4x + 6 = ½(4x + 44) (midsegment theorem)
Multiply both sides by 2
2(4x + 6) = 4x + 44
8x + 12 = 4x + 44
Collect like terms
8x - 4x = -12 + 44
4x = 32
Divide both sides by 4
x = 8
Length of midsegment = 4x + 6
Plug in the value of x
Midsegment = 4(8) + 6
= 32 + 6
= 38
1. Line K is represented by the equation y =- 2/3x +4. Line Lis perpendicular to line K and
passes through the point (4,- 1). Determine the equation of line L.
Answer:b
Step-by-step explanation:
because i got i right
I need this done quick pls.
Answer:
58º
Step-by-step explanation:
The sum of a triangle's interior angles is 180º. We know two interior angles, and we can solve from there: 180-(65+57)=180-65-57=180-180-122=58.
Use the coordinate grid to determine the coordinates of point A:
What are the coordinates of point A?
A ( fraction negative 1 and 1 over 4, fraction 3 over 4)
B ( fraction 1 and 1 over 4, fraction negative 3 over 4)
C( fraction negative 3 over 4, fraction 1 and 1 over 4)
D( fraction 3 over 4, fraction negative 1 and 1 over 4)
Answer:
A. (fraction negative 1 and 1 over 4, fraction 3 over 4)
Step-by-step explanation:
Coordinates of point A cam be represented as (x, y). That is where point A cam be traced from the x-axis is the value of x, while the y-value is the point we can trace from the y-axis side ways to point A.
So, Point A from the x-axis, we have x = -1¼, and from the y-axis, we have y = 3/4.
Coordinates of point A cam be written as:
(-1¼, ¾).
Helpppppppppppppppppppppp ASAP
9514 1404 393
Answer:
B. G(x) = (x -0.5)³ -(x -0.5)
Step-by-step explanation:
The desired equation can be found by translating the function left one unit. That is accomplished by replacing x with x+1. Then you have ...
G(x) = ((x +1) -1.5)³ -((x +1) -1.5)
G(x) = (x -0.5)³ -(x -0.5) . . . . . . . . matches choice B
2x – 3y = -5
y = 2 + x
The value of y in the system of equations is:
y = -1.
y = -3.
y = 1.
y = 3
Answer:
y = 3
Step-by-step explanation:
2x-3y = -5 --------- (1)
y = 2+x ------- (2)
substitute (2) into (1)
2x-3y = -5
2x-3( 2+x ) = -5
2x-6-x = -5
2x-x = -5+6
x = 1
substitute x = 1 into (2)
y = 2+x
y = 2+1
y = 3
–5(–2) =
please help :) :D
Answer:
10
Step-by-step explanation:
-5 * -2 = 10
cuz - * - = +
and 5 * 2 = 10
hence 10
Answer:
-7
Step-by-step explanation:
-5(-2)
-5-2
-7
..........
Simplify.
16wxy
72xy
Answer: 1152wx^2y^2
Step-by-step explanation:
) Buyers are charged a shipping fee of $4.75 for each scarf order.
Which expression can you use to find the total price of a scarf order?
Answer:
huh can you put the whole question?
Step-by-step explanation:
Put all the answers
Step-by-step explanation:
Find the 61st term of -12, -28, -44,
Answer:
[tex]a_{61}=-972[/tex]
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:
[tex]a_{61}=-12+(61-1)(-16)[/tex]
[tex]a_{61}=-12-60*16=-12-960[/tex]
[tex]\mathbf{a_{61}=-972}[/tex]
9(2n+1) =
can someone help me, please
Answer:
9(2n + 1) = 18n + 9Step-by-step explanation:
9(2n + 1)
use the distributive property a(b + c) = ab + ac
= (9)(2n) + (9)(1) = 18n + 9
Step-by-step explanation:
9(2n+1) =0
18n+9 = 0
18n = -9
n = -9/18
n = -1/2
A store has two different brands of laundry
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
Answer:
Is there supposed to be a pic?
Step-by-step explanation:
Dad gave his son 60 euros to buy wallpaper. In the store, it turned out that the price for one roll wallpaper increased by 3 euros, and because of this, the son was able to buy 1 roll of wallpaper less than he needed. How many rolls of wallpaper could he buy and how much did one roll cost? Did he do the right thing to buy the wallpaper?
Answer:
$92.296
Step-by-step explanation:
no, he did not make the right decision that's $19.096 over the budget.
Find the probability of getting the color crewmate and the hat. Determine the probability for each question and write the code in the box below.
Answer:
Step-by-step explanation:
Probability of an event to occur (P) = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex]
1). Probability of getting the red crewmate,
[tex]P_1=\frac{3}{6}=\frac{1}{2}[/tex]
Probability of getting a chef hat,
[tex]P_2[/tex] = [tex]\frac{1}{8}[/tex]
Probability of getting the red crewmate and the chef hat = [tex]P_1\times P_2[/tex]
= [tex]\frac{1}{2}\times \frac{1}{8}[/tex]
= [tex]\frac{1}{16}[/tex]
2). Probability of getting blue crewmate,
[tex]P_1=\frac{2}{6}[/tex]
[tex]=\frac{1}{3}[/tex]
Probability of getting an egg hat,
[tex]P_2=\frac{2}{8}=\frac{1}{4}[/tex]
Probability to get the blue crewmate and an egg hat = [tex]P_1\times P_2[/tex]
= [tex]\frac{1}{3}\times \frac{1}{4}[/tex]
= [tex]\frac{1}{12}[/tex]
3). Probability of getting a green crewmate = [tex]\frac{1}{6}[/tex]
Probability of getting a banana hat = [tex]\frac{3}{8}[/tex]
Probability of getting a green crewmate and banana hat
= [tex]\frac{1}{6}\times \frac{3}{8}[/tex]
= [tex]\frac{1}{16}[/tex]
what 1+1
duwjus
w7wjqiw
Answer:
hmm.......i think it's 11
it might be 2
no 11
ehh maybe 11
oh my god
so uhmmmmmm
it's either 11
or it's 2
im having a mental crisis
Help me it’s 20 points
In a girl's bank, there is a collection of nickels, dimes, and quarters which amounts to $9.50. There are four times as many quarters as nickels, and 3 more dimes than nickels. How many coins of each kind are there?
Answer:
Step-by-step explanation:
Let the amount of nickels be x
Let the amount of dimes be y
Let the amount of quarters be z
If the total collection amounts to $9.50, then;
x+y+z = 9.50 ..... 1
If there are four times as many quarters as nickels, then;
z = 4x .... 2
Also if there are 3 more dimes than nickels then;
y = x+3 .... 3
Substitute 2 and 3 into 1;
x + x+3 + 4x = 9.50
6x = 9.50 -5
6x = 4.50
x = 4.50/6
x = $0.75
Since y = x +3
y = 0.75 + 3
y = $3.75
Also, z = 4x
z = 0.75(5)
z = $3.0
Hence there are