Answer:
If solving for slope
y = 1 /3 x + 9
suppose a basketball player has made 215 out of 322 free throws. if the player makes the next 2 free throws, i will pay you $32 . otherwise you pay me $24 . step 2 of 2 : if you played this game 590 times how much would you expect to win or lose? round your answer to two decimal places. losses must be expressed as negative values.
Suppose a basketball player has made 215 out of 322 free throws. If the player makes the next 2 free throws, you will be paid $32, otherwise, you pay $24. To find out how much you would expect to win or lose if this game is played 590 times, the first thing to do is to find the probability that the player will make the next two free throws.In order to find the probability that the player makes the next 2 free throws, the total number of free throws attempted is 322 + 2 = 324.
The probability that the player makes each free throw is equal to the ratio of the number of successful free throws to the total number of free throws attempted.Therefore, the probability that the player makes each free throw is215/322 = 0.6667 (rounded to four decimal places)The probability that the player will make the next 2 free throws is:0.6667 × 0.6667 = 0.4445 (rounded to four decimal places).
This means that the probability that the player misses at least one free throw is:1 − 0.4445 = 0.5555 (rounded to four decimal places)If you win, you get $32, while if you lose, you have to pay $24. This means that your expected value is given by the formula:E(X) = $32(0.4445) − $24(0.5555) = −$0.22Therefore, if you played this game 590 times, you would expect to lose a total of:$0.22 × 590 = -$129.80 (rounded to two decimal places)Note that since you are expected to lose, the value is negative.
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Measuring Segments and Intersections
solve for x
Answer: " x = 5 " .
____________________________
Step-by-step explanation:
____________________________
(2x + 10) + (x - 4) = 21 ; Solve for x :
___________________________
2x + 10 + x - 4 = 21 ;
On the "left-hand-side" of the equation;
combine the "like terms:
+2x + x = + 3x ;
+ 10 - 4 = + 6 ;
and rewrite the equation:
3x + 6 = 21 ;
Subtract "6" from each side of the equation:
_________________________
3x + 6 - 6 = 21 - 6 ;
to get:
3x = 15 ;
Now, divide each side of the equation by "3" ;
to isolate "x" on one side of the equation;
& to solve for "x" ;
_________________________
3x / 3 = 15 / 3 ;
to get:
" x = 5 " .
_________________________
Hope this answer—and explanation—is helpful to you!
_________________________
Sketch the graphs:
y=-x+5
Answer:
This is the graph I inputted into desmos.
Step-by-step explanation:
Next time, using a graphing calculator will work! However, making a table for the x and y outputs will also make it easier to graph points.
For example: see attached image of table.
a bag of fertilizer covers 2500 square feet of lawn how many bags of fertilizer should be purchased to cover a rectangular lawn 410 by 65 feet
Answer: 11
Step-by-step explanation:
410 * 65 = 26,650 sq ft
26,650/2500 = 10.66 bags
Answer:
11 bags.
Step-by-step explanation:
We know that the area is 410 x 65 = 26650
Now, we need to divide to find how many bags is needed.
26240/2500 = 10.66, which we round up cause we can't have a half bag.
Mrs.Oliveros bought 12.036 gallons of gasoline for her car.How is this number written in expaned notation
Help me please what is 11/5 you can write it in numerical numbers lile this 1,2 or whole number fractions like this 1 1/2
Answer:
11/5 = 2 1/5
11/5 = 2.2
Step-by-step explanation:
Find the value of x. Round to the nearest tenth. 22 28 11
PLEASE HELP
Answer:
63.43
Step-by-step explanation:
For this I'll be using tangent, which is an easier way.
tan x = 22/11
x = \(tan^{-1}\) (22/11)
Plug into calculator, you get 63.43.
Answer: 69.9
Step-by-step explanation:
please help with show work. urgent
Answer:
51
Step-by-step explanation:
I need help on this question!
Answer:
x+7 y-0
(the second option)
Toilet rolls come in packs of 4 and 9
The 4 pack is £2.04
The 9 pack is £4.68
By valculating the price per roll determine which pack is better value
Show your working
Answer:
the 4 pack is cheaper
Step-by-step explanation:
divide the price of the pack by the number rolls in it
4 pack is about 51 cents per roll
9 pack is 52 cents per roll
A tiankeng is a sinkhole with nearly vertical walls. The Tianpingmiao tiankeng is approximately cylindrical with a diameter of 180
meters and a depth of 420 meters.
a. If the top of the tlankeng is open and plants can grow on the bottom and sides, what is the surface area available for plants? Round to the
nearest square meter.
m²
b. What is the volume of water that could fill the Tianpingmiao tiankeng? Round to the nearest cubic meter.
From the information given;
a. The surface area available for plants is 51, 433. 2 square meters
b. The volume of water that could fill the Tianpingmiao tiankeng is 11, 000, 000 cubic meters
How to determine the valueThe formula for determining the surface area of a cylinder is expressed as;
Surface area = 2π r h + 2π r²
From the information given, we have that;
Diameter = 180 metersDepth which is the height is 420 metersNote that the formula for radius is expressed as;
Radius = diameter/ 2
Substitute the value
Radius = 180/ 2
Radius = 90 meters
Now, let's solve for the surface area
Surface area = 2 × 3. 14 × 90 × 420 + 2 × 3. 14 × (90)²
expand the bracket and solve
Surface area =565. 2 + 50868
Add the values
Surface area = 51, 433. 2 square meters
The formula for volume of a cylinder is'
Volume = π r² h
Volume = 3. 14 × (90)² × 420
Volume = 11, 000, 000 cubic meters
Thus, the surface area and volume of the Tianpingmiao tiankeng are 51, 433 square meters and 11, 000, 000 cubic meters respecively.
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The bike store marks up the wholesale cost of all of the bikes they sell by 30%. Andre wants to buy a bike that has a price tag of $125. What was the cost of this bike before the markup?
Answer:
$96.15
Step-by-step explanation:
Given data
markup = 30%
cost price= $125
let the cost price before markup be x
125-30/100*x= x
125-0.3x= x
125= x+0.3x
125= 1.3x
divide both sides by 1.3
x= 125/1.3
x= $96.15
Hence the price before markup is $96.15
♡Easy Brainliest♡ Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angle's complement? A Both sinA and cosB are equal to ab. B Both sinA and cosB are equal to ac. C For sinA to equal cosB, a and c must be equal. D For sinA to equal cosB, a and b must be equal.
Answer:
Answer is A
Step-by-step explanation:
Hope it helps
Pets owned by each customer or jays pet store
Answer:
3
Step-by-step explanation:
its the median, just see which one is in the middle by crossing out one dot on each side until you get to the middle
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
I'm not completely sure, but I think the correct answer is option D.
describe the graph of the solution
First, we want to note two things:
We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.
We can describe this with an inequality: x ≥ -10
Be sure you use ≥ and not >, since -10 is included.
We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.
You can also use set-builder notation: { x | x ≥ -10 }
(I will give branliest please help me)
Which linear equation represents a line that is parallel to the line drawn and includes point P?
y = 42 - 4
4x + 3y = 15
y=-30 +3.25
-3. + 4y = -5
A fair coin is tossed three times. What are all the possible outcomes? How many
total outcomes are possible
Answer:
2 outcomes
Step-by-step explanation:
the coin only has 2 sides so you can flip it 1000 times and you could only get 2 outcomes, unless it lands straight up and down
Find the value of the variables in each figure. Explain your reasoning.
Answer:
see explanation
Step-by-step explanation:
The figure has one pair of parallel sides and is a trapezoid.
Each lower base angle is supplementary to the upper base angle on the same side, thus
15x + 30 + 10x = 180 , that is
25x + 30 = 180 ( subtract 30 from both sides )
25x = 150 ( divide both sides by 25 )
x = 6
Also
3y + 18 + 90 = 180 , that is
3y + 108 = 180 ( subtract 108 from both sides )
3y = 72 ( divide both sides by 3 )
y = 24
-------------------------------------------------------------------
2x, 90 and x lie on a straight line and sum to 180 , thus
2x + 90 + x = 180 , that is
3x + 90 = 180 ( subtract 90 from both sides )
3x = 90 ( divide both sides by 3 )
x = 30
------------
2y and x are alternate angles and congruent , thus
2y = x = 30 ( divide both sides by 2 )
y = 15
The probiallty of rolling a number less than 3 on a number cube is 2/6. Jenifer rolls a number cube 60 times.
how many times can Jenifer except to role a number less than 3
A.10
B.20
C. 30
d.40
E.50
Find each value without using a calculator.
tan(-7π /4)
To find the value of tan(-7π/4) without using a calculator, we can use the properties of the tangent function and the unit circle.The unit circle is a circle with a radius of 1, centered at the origin (0, 0).
It can help us determine the trigonometric values for different angles.
To start, let's determine the reference angle for -7π/4. The reference angle is the positive acute angle formed between the terminal side of the angle and the x-axis.
To find the reference angle, we add 2π (or 360 degrees) repeatedly until we get an angle between 0 and 2π (or 0 and 360 degrees):
-7π/4 + 2π = π/4
So, the reference angle for -7π/4 is π/4.
Now, we need to determine the quadrant in which -7π/4 lies. Since -7π/4 is in the fourth quadrant, where both the x-coordinate and y-coordinate are negative, the value of the tangent function will also be negative.
Next, let's find the value of the tangent function for the reference angle of π/4. Since the tangent function is defined as tan(angle) = sin(angle) / cos(angle), we need to find the values of sine and cosine for the reference angle.
In the first quadrant, the point on the unit circle corresponding to the reference angle π/4 is (√2/2, √2/2). Since the tangent function is the ratio of sine to cosine, we have:
tan(π/4) = sin(π/4) / cos(π/4) = (√2/2) / (√2/2) = 1
Since the tangent function is negative in the fourth quadrant, the final value is -1.
Therefore, tan(-7π/4) = -1.
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Jessica opened a savings account with $40.00.
She is going to add $20 per week over the twelve weeks of summer. She will close the account when the summer is over.
Which expression would be an appropriate domain for this situation?
Check the picture below.
so for the equation y = 40 + 20x, what's an appropriate domain? or namely, what could be some valid values for "x"?
well, Jessica is going to put in 20 bucks only for 12 weeks, so whatever "x" is going to be, is must be from 0 to 12, or in interval notation [0 , 12].
What is the value of the expression 8 3/5 (-22.8)?
Answer:
-528/25
Step-by-step explanation:
Abbey wants to use her savings of $1,325 to learn yoga. the total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. choose the inequality that would be used to solve for the maximum number of months for which abbey can learn yoga with her savings. 35x 50 ≤ 1,325 35 50x ≥ 1,325 35 50x ≤ 1,325 35x 50 ≥ 1,325
Answer:
Step-by-step explanation:
Take 1325-35=1290. 1290/30= 43. She will be able to learn 43 Yoga for 43 months.
find the 50ty term if the nth term is 5n-3
Answer:
247
Step-by-step explanation:
From the question given above, the following data were obtained:
nth term (Tₙ) = 5n – 3
Number of term (n) = 50
50th term (T₅₀) =?
The 50th term can be obtained as follow:
Tₙ = 5n – 3
T₅₀ = 5(50) – 3
T₅₀ = 250 – 3
T₅₀ = 247
Therefore, the 50th term is 247.
Martin has a vegetable garden that is 8 feet long and 5 feet wide. Next year, Martin wants to increase both the length and width of his vegetable garden by 15%. By what percent will the area of Martin’s vegetable garden increase with these changes?
Answer:
9.2 feet long and 5.75 feet wide
find f(6) when using the function f(x)=3x+47
Answer: f(6) = 65
Step-by-step explanation:
plug in 6 for x
f(6) = 3(6) + 47
f(6) = 18 + 47
f(6) = 65
in a study by elizabeth loftus, subjects watched a film of an automobile accident, then answered a series of questions, including one asking them to estimate the speed of the cars. which subjects gave the highest speed estimates? group of answer choices
The subjects who gave the highest speed estimates were likely those who were most confident in their answers and most willing to take risks in their estimates.
Those who were less confident and more hesitant to take risks would likely give lower estimates, while those who were more confident and willing to take risks would give higher estimates. Additionally, the subjects who had prior knowledge of the speed at which cars typically travel may have given higher estimates than those who did not have that knowledge. Finally, any subjects who were predisposed to overestimate due to a bias towards overestimating in general would have likely given the highest speed estimates.The subjects who gave the highest speed estimates in Elizabeth Loftus's study were likely those who had the highest levels of anxiety and/or were the most emotionally involved in the film. These individuals may have had difficulty accurately assessing the speed of the cars due to their heightened emotional state, and thus reported higher speeds than were actually observed. Additionally, people who were more familiar with cars and driving may have been more likely to give higher speed estimates due to their greater understanding of the physics involved. It is also possible that some individuals may have been influenced by the expectations of the experimenters, and thus reported higher speeds than what they actually observed.
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Subtract and simplify.
(-5y²+7y-4)-(-3y²-3y+8)
Answer:
-2y^2+10y-12
Step-by-step explanation:
if one in four adults own stocks, then what type of probabilty distribution would be used to determine the probability in a random sample of 10 people that exactly three own stocks?
The probability distribution that would be used in this scenario is the binomial distribution.
The binomial distribution is used to calculate the probability of a certain number of successes in a fixed number of independent trials, given a known probability of success in each trial. In this case, the number of successes is owning stocks, the number of trials is 10 people, and the probability of success is one in four adults owning stocks.
In this case, the probability that exactly three out of ten people own stocks, given that one in four adults own stocks, you would use the binomial probability distribution. The reasoning for this is because the binomial distribution is used when there are a fixed number of trials (in this case, 10 people), each trial has only two possible outcomes (owning stocks or not owning stocks), and the probability of success (owning stocks) is the same for each trial (1 in 4 or 0.25).
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