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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Find the missing angles
Please try to give a good explanation so I can learn how it was done! Thank you
Answer:
Explained below.
Step-by-step explanation:
1. Bisecting splits an angle into two equal parts. Angle 2 and 3 are now equal.
2. And since it is a right angle, both angles are 45 degrees.
3. All triangle angles will ALWAYS add up to 180.
4. Angle 4 = 180 - 45 (Angle 3) -83.
Angle 4 = 52.
5. Do same thing for Angle 1.
6. Angle 1 = 180 - 45 (Angle 2) - 48
Angle 1 = 87.
Final answers.
1. 87 degrees
2. 45 degrees.
3. 45 degrees.
4. 52 degrees.
ERGENT! DUE TODAY! What is the equation in point-slope form of the line that passes through the point (3,-2) and has a slope of 2/3?
(look at image)
Answer:
y = 2/3x - 4
Step-by-step explanation:
in the coordinate plane, triangle ABC has vertices A(1,-2), B(1,0.5), and C(2,1) and triangle DEF has vertices D(4,-3), E(4,2), and F(6,3). The triangles are similar because DEF is the image of ABC under a dilation with center (_,_) and scale factor ___.
PLEASE HELPP
Answer:
(A) the center of dilation is at (-2,-1)
(E) the scale factor is 2
The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The ratio of the lengths of corresponding sides of triangles ABC and DEF.
AB and DE are corresponding sides, so:
AB/DE = (distance between A and B) / (distance between D and E)
= 2.5 / 5
= 0.5
BC and EF are corresponding sides, so:
BC/EF = (distance between B and C) / (distance between E and F)
=1.118 / 2.236
= 0.5
AC and DF are corresponding sides, so:
AC/DF = (distance between A and C) / (distance between D and F)
AC/DF = 2.236 / 4.472
= 0.5
We see that all three ratios are equal to 0.5.
Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
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Write fifty three hundredths in standard form
Answer:
53/100 or 0.53 i think thats right
Please help I will mark brainliest
Answer: the graph is incorrect
Step-by-step explanation:
The graph should be headed towards the left (the negative x side) because x is negative
Answer:
The graph is not correct, because it is a positive graph. It answers the equation y= x, and Franco said it was y= -x. His line would be negative, and this graph is positive.
Step-by-step explanation:
Value of 5.3x10 4.2x10 scientific notation
If a+b/a-b=5/3, what are the following ratios? 2a-4b/a-2b
Answer:
Hope this may helps you
The value of ratios (2a - 4b) / (a - 2b) is,
⇒ 2
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The value is,
⇒ (a + b )/ (a-b) = 5/3
Now, We get;
⇒ a + b = 5
⇒ a - b = 3
Hence, By solving above equation,
a = 4
b = 1
Thus, The value of ratios (2a - 4b) / (a - 2b) is,
⇒ (2a - 4b) / (a - 2b)
⇒ (2 × 4 - 4 × 1) / (4 - 2 × 1)
⇒ (8 - 4) / (4 - 2)
⇒ 4 / 2
⇒ 2
Thus, The value of ratios (2a - 4b) / (a - 2b) is,
⇒ 2
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What is the value of x in the rhombus below?
O A. 28
O B. 56
O C. 58
O D. 24
Answer:
A. 28
Step-by-step explanation:
x = 28
Value of x in the rhombus is [tex]28^{0}[/tex].
What is rhombus?A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square.
According to the question
DB, CA are diagonal line
So, <CAB + <DBA = [tex]90^{0}[/tex]
⇒ x + 6 + 2x = [tex]90^{0}[/tex]
⇒ 3x = 90 - 6
⇒ 3x = 84
⇒ x = [tex]\frac{84}{3}[/tex]
⇒ x = [tex]28^{0}[/tex]
Hence, value of x in the rhombus is [tex]28^{0}[/tex].
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Solve the equation using the distributive property and properties of equality. 1/2x(X+6)= 18
What is the value of x?
Answer:
x equals to 4
Step-by-step explanation:
because x is a coefficient of the bracket
Quick Help please !!! Don’t really know what to do :(
Answer:
do you have to find the perimeters? or areas?
Step-by-step explanation:
plz help this is very confusing
Answer:
[tex] x \ge 15 [/tex]
Step-by-step explanation:
An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.
Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.
Thus, using inequality, this can be represented as:
[tex] 2(2x + 7) + 4x + 3 \ge 137 [/tex]
Solve for x
[tex] 4x + 14 + 4x + 3 \ge 137 [/tex]
Add like terms
[tex] 8x + 17 \ge 137 [/tex]
Subtract 17 from both sides
[tex] 8x + 17 - 17 \ge 137 - 17 [/tex]
[tex] 8x \ge 120 [/tex]
Divide both sides by 8
[tex] \frac{8x}{8} \ge \frac{120}{8} [/tex]
[tex] x \ge 15 [/tex]
if you know if try to answer its fine if you cant
Answer:
1/8
Step-by-step explanation:
Please Help
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Answer:
The coordinates of the point P = (x, y) = (-1, 4)
Step-by-step explanation:
Let the coordinates of P be (x, y)
(x₁, y₁) = (-6, 9)(x₂, y₂) = (2, 1)ratio = m:n = 5:3Using the section formula
x = [(mx₂ + nx₁)] / [(m+n)]
= [5(2)+3(-6)] / [5+3]
= [10-18] / [8]
= -8/8
= -1
y = [(my₂ + ny₁)] / [(m+n)]
= [5(1)+3(9)] / [5+3]
= [5+27] / [8]
= 32/8
= 4
Therefore, the coordinates of the point P = (x, y) = (-1, 4)
Please help me answer this :) and explain how you got your answer ! ( will give brainslt )
Answer:
Graph B (bottom left)
Step-by-step explanation:
Let's eliminate answers by reading the prompt:
Jaelene drains some of the water from a pool at a constant rate.
These are two big clues. Since Jaelene drains water, she is losing water, and at a constant rate. Therefore, we can eliminate A and C because you would be gaining water in the pool and not draining.
She stops draining water to fix the hose and then fills the pool up with water again.
Also important clues. If you stop draining water, the water level does not change. Also, since the pool is filling up, that means we are gaining water. Therefore, we can eliminate option D because that would mean we're still draining water but we're not in this case.
Therefore, the only correct answer is graph B (bottom left)
Solve [tex]17(9-x)-50=52[/tex]17(9-x)-50=52
Answer:
17(9−x)−50=52
Step 1: Simplify both sides of the equation.
17(9−x)−50=52
(17)(9)+(17)(−x)+−50=52(Distribute)
153+−17x+−50=52
(−17x)+(153+−50)=52(Combine Like Terms)
−17x+103=52
−17x+103=52
Step 2: Subtract 103 from both sides.
−17x+103−103=52−103
−17x=−51
Step 3: Divide both sides by -17.
-17x ÷ -17
-51 ÷ -17
x = 3
What is the answer bbs
Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. Write an equation to represent the situation.
A) 30 - 0.12 = 18x
B) 18 + 0.12x = 30
C) 18 - 0.12x = 30
D) 18x + 0.12 = 30
please help
Answer:
B
Step-by-step explanation:
It's B because Alex wants to spend exactly $30, and since he has to pay $18 as a charge and $0.12 per mile, you would have to add those two together to get $30. Since you're spending money per mile and the charger, you have to add them.
A pack of pencils that have 30 pencil in the pack cost $5.99. How much is one pencils cost? (unit rate)
Answer:
$0.19 per pencil
Step-by-step explanation:
$5.99 divided by 30 = 0.19
Y’all know this anything about this?
We are given:
Parallelogram CDEF∠C = 13x - 10∠D = 5x + 10To Find: ∠E
Concept Used:
Adjacent angles of a Parallelogram are SupplementaryFinding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
__________________________________________________________
Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
__________________________________________________________
Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
A farmer conducted a hypothesis test to see if a new type of soybean would grow better on their land. The alternative hypothesis is the new seed will on average grow more than the old soybean type. The farmer runs a controlled experiment and finds a p-value of .345. The farmer comes to the conclusion that there is no evidence that the new soybean will lead to a larger harvest. What error(s) is it possible to commit
Answer:
Type 2 Error
Step-by-step explanation:
Null Hypothesis [H0] : New soybean has no impact on harvest
Alternate Hypothesis [H1] : New soybean leads to larger harvest
The farmer accepts the null hypothesis & concludes, that there is no impact of new soybean on harvest.
He could have committed Type 2 Error, which refers to accepting a null hypothesis when it is actually false.
Which of the following situations results in a sum of 1 1/2 ? Select all that apply .
1. I painted 5/8 of one room and 7/8 of another .
2. I gained 6 1/2 pounds and my wife lost 8 pounds .
3. I had 4 1/4 bottles of juice and drank 1 3/4 of them .
4. I cut 3 1/3 inches from my grass. The grass grew 1 5/6 inches over the next week .
5.I used up 1/4 of a pound of coffee and bought 1 1/4 of a Pound of coffee from the store .
6. I used 3/4 of a pound of ground beef to make burgers and purchased 2 1/4 of a pound of ground beef .
Answers ASAP!!!!
Answer:
A, E, And D
Step-by-step explanation:
i did the quiz :)
what is the answer to 2/5 times 1/4
Can you please tell me if this is a function or not
Graph the line.
y=-3x - 3
Step-by-step explanation:
:) <333333 .! :)))))))))
Which of these is a point-slope equation of the line that is perpendicular to
y- 25 =2(x- 10) and passes through (-3, 7)?
A. y-7= -2(x+ 3)
B. y+7=--3)
C.y-7- -x+3)
D. y+7 = 2(x- 3)
Given:
Equation of line is [tex]y-25=2(x-10)[/tex].
A line is perpendicular to the given line and passes through (-3,7).
To find:
The point slope form of the perpendicular line.
Solution:
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex] ...(i)
where, [tex](x_1,y_1)[/tex] is the point from which the line is passing through and m is slope.
We have,
[tex]y-25=2(x-10)[/tex] ...(ii)
From (i) and (ii), we get
[tex]m_1=2[/tex]
Product of slopes of two perpendicular lines is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]2\times m_2=-1[/tex]
[tex]m_2=-\dfrac{1}{2}[/tex]
So, slope of perpendicular line is [tex]-\dfrac{1}{2}[/tex].
Point slope form of the perpendicular line is
[tex]y-(7)=-\dfrac{1}{2}(x-(-3))[/tex]
[tex]y-7=-\dfrac{1}{2}(x+3)[/tex]
Therefore, the correct option is C.
how many milligrams (mg) are
in a levothyroxine 88mcg tablet?
Aaliyah had some candy to give to her four children she first took 10 pieces of herself and then evenly divided the raise among her children each to receive two pieces with how many pieces did she start
Answer:
she started with 18
Step-by-step explanation:
2(4)+ 10= 18
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 0 6 feet by 2 feet by 3 feet 6 feet by 5 feet by 4 feet 7 feet by 6 feet by 4 feet 8 feet by 3 feet by 7 feet 8 feet by 4 feet by 3 feet
Answer:
I think the answers are...
B. 6 feet by 5 feet by 4 feet
C. 7 feet by 6 feet by 4 feet
D. 8 feet by 3 feet by 7 feet
(I'm so sorry if it's wrong)
Hope this Helps!
Answer:
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.
6 feet by 2 feet by 3 feet
6 feet by 5 feet by 4 feet
7 feet by 6 feet by 4 feet
8 feet by 3 feet by 7 feet
8 feet by 4 feet by 3 feet
Step-by-step explanation:
Please answer: A A piece of wood that is 7.07 centimeters long. Then she sawed 0.7 centimeters off the end. How long is the piece of wood now?
Answer:
6.37 cm
Step-by-step explanation:
In Austin Texas, there were 42 days where the temperature reached over 100 degrees. 1/3 of those days were in June. How many days in June did the temperature hit above 100?How man
Answer: 14 days in June
Step-by-step explanation:
Multiply 1/3 × 42. That is the same as dividing 42/3 = 14