Answer:
0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either she makes it, or she does not. The probability of making a free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that Shruti succeeds at any given free-throw is 80%, percent.
This means that [tex]p = 0.8[/tex]
Sample of 12 free throws:
This means that [tex]n = 12[/tex]
Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{12,10}.(0.8)^{10}.(0.2)^{2} = 0.2835[/tex]
[tex]P(X = 11) = C_{12,11}.(0.8)^{11}.(0.2)^{1} = 0.2062[/tex]
[tex]P(X = 12) = C_{12,12}.(0.8)^{12}.(0.2)^{0} = 0.0687[/tex]
[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) = 0.2835 + 0.2062 + 0.0687 = 0.5584[/tex]
0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Answer:0.8
Step-by-step explanation:in 5 of the 25 stimulated trials, scrutiny continued federal than 10 successes
find the value of x in the following..... 3^x = 8
Answer:
x ≈ 1.893 ( to 3 dec. places )
Step-by-step explanation:
Using the rule of logarithms
log [tex]x^{n}[/tex] = n logx
Given
[tex]3^{x}[/tex] = 8 ( take the log of both sides )
log[tex]3^{x}[/tex] = log8, that is
xlog3 = log8 ( divide both sides by log3 )
x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893
The repairmen are fixing 9 cars 2 motorcycle and 6 trucks what is the ratio of cars to motorcycle?
Answer:
9:2
Step-by-step explanation:
Put in what we know
cars: motorcycles
9 2
I NEED HELP FAST, 20 POINTS
Which of the following fractions is not equivalent to 2?
1 4/4
10/5
3/6
2/1
Answer:
The 1st one 1 4/4 and the 3rd one 3/6
Step-by-step explanation:
10/5=2
2/1=2
Deja is training for a race on Saturday. On Sunday, she runs 1/6 of a mile. On Monday she runs 1/5 of a mile. On Tuesday she runs 1/4 of a mile. On Wednesday she runs 1/3 of a mile. On Thursday she runs 1/2 of a mile. Finally, on Friday, the day before the race, she runs a whole mile. If the length of the race is the same as the total distance Deja ran in preparation, how many miles is the race?
Answer:
49/20 miles or 2.45 miles
Step-by-step explanation:
LCM(1,2,3,4,5,6,)=60
10/60+12/60+15/60+20/60+30/60+60/60=147/60=49/60 or 2.45
Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?
Answer: 40 feet
Step-by-step explanation: Volume = length * width * height
then substitute Volume = 2 * 4 * 5
multiply Volume = 8 * 5
multiply again Volume = 40
hope this helps mark me brainliest if it did have a great day
Si al numerador de una fraccion se añade 5, el valor de la fraccion es 2, y si al numerador se resta 2, al valor de la fraccion es 1.Hallar la fraccion.
Answer:
Respuesta.- La fracción es 9/7
Step-by-step explanation:
1) Llamando X e Y a la fracción, tenemos: X/Y
Si al numerador se le añade 5, es decir X+5, el valor de la fracción es 2, luego:
(X+5)/Y = 2
Y si al numerador se le resta 2, es decir X-2, el valor de la fracción es 1, luego:
(X-2)/Y = 1
Juntando amabas ecuaciones:
(X+5)/Y= 2
(X-2)/Y = 1
Despejando Y en ambas:
Y = (X+5)/2
Y = (X-2)..........(1)
Igualandolas:
(X+5)/2= (X-2)
De donde:
X+5 = 2X-4
X = 9
Y finalmente, sustituyendo el valor de X = 9 en la ecuaión (1), tendremos:
Y = (X-2)
Y = (9-2)
Y = 7
Respuesta.- La fracción es 9/7
PLZ HELP ME I DON'T WANNA FAIL THIS
Answer
Step-by-step explanation:
sentence 3 does not use a correct verb.
Consider rectangle ABCD with diagonals BD and AC
intersecting at
Which is true about the angle relationships in the
rectangle? Check all that apply.
BEA and 2 CED are vertical angles and equal
76
ZABE and 2 CBE are complementary angles,
BEC and CED are vertical angles,
-------
BEA and AED are supplementary angles
whose sum is 180°
O
BEC and
AED are adjacent angles,
Answer:
BEA and AED are supplementary angles whose sum is 180°
Step-by-step explanation:
complete question is:
Consider rectangle ABCD with diagonals BD and AC intersecting at E.
Which is true about the angle relationships in the rectangle? Check all that apply.
BEA and 2×CED are vertical angles and equal 76 ABE and 2×CBE are complementary angles, BEC and CED are vertical angles,BEA and AED are supplementary angles whose sum is 180° BEC and AED are adjacent angles,Answer:
it is abd
Step-by-step explanation:
.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?
Answer:
330 000 m²
Step-by-step explanation:
1. Area of farm
[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]
2. Area for wheat
[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]
3.Area for olive trees
[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]
4. Area for sunflowers
Total area = 1 000 000 m²
- Area for wheat = 280 000 m²
- Area for olive trees = 390 000
670 000
Area for sunflowers = 330 000 m²
Sunflowers occupy 330 000 m².
Gavin owes the bank $63,000. After 10 years, Gavin owes $93,255. Gavin knows the debt grows with an interest rate that compounds once every year. What is the rate of interest (as a percentage)?
Answer:
1,616.60
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Step-by-step explanation:
There are 125 sheep and 5 dogs in a flock how old is the shepherd?
Answer:
25 years old
hope this helps
~savannah:))
If there are 125 sheep and 5 dogs in a flock then the shepherd is 25 years old.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
The number of sheeps are 125
One hundred twenty five
The number of dogs are 5
Five.
We need to find how old is the shepherd
To find this we just need to divide one hundred twenty five by five
125/5
25
Hence, if there are 125 sheep and 5 dogs in a flock then the shepherd is 25 years old.
To learn more on Division click:
https://brainly.com/question/21416852
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Trace a pattern block. Divide it into two equal parts, and write a unit fraction to describe the area of each part. Explain your work.
Answer:
1/2
Step-by-step explanation:
The unit fraction for an area (or anything, for that matter) divided into 2 parts so the area of each one is equal to each other and be a haft of the original block. Please have a look at the attached photo.
What 2 numbers that multiply to make 7 and add to 6
Answer:1 and 6
Step-by-step explanation:1 x 6 = 6
1 + (6) = 7
Are you asking because you are trying to figure out how to factor the following quadratic equation?
x2 + 7x + 6 = 0
If so, the solution to factor the quadratic equation above is:
(X + 1 ) (X + 6)
To summarize, since 1 and 6 multiply to 6 and add up 7, you know that the following is true:
x2 + 7x + 6 = (X + 1 ) (X + 6)
Ben decided to invest his savings into a friends local business if he invests 1,750 at an annual interest rate of 6.4% how much interest will he earn in 4 years
Answer:
He will earn an interest of $448 in 4 years
Step-by-step explanation:
In this question, we are interested in calculating the interest earned on an investment for a period of 4 years.
To calculate this interest, we shall be using the formula for simple interest but with slight difference in terms definition
Mathematically;
I = PRT/100
Where ;
P is the amount invested which is $1,750 according to the question
R is the interest rate which is 6.4%
T is the time which is equal to 4 years
Plugging these figures, we have
I = (1,750 * 6.4 * 4)/100 = 44,800/100 = $448
I need help with question number 3
Hey there! I'd be delighted to help you out!
First, let's write down our expression!
[tex](x^2-x)+(8x-2x^2)[/tex]
When we look at this expression, we see that all of the numbers are terms, or numbers that are added. We have four terms in this equation, which are:
[tex]x^2, -x, 8x, -2x^2[/tex]
Now, to simplify, we want to combine like terms. Like terms are numbers that have the same variable (or no variable) and are raised to the same power. 1 and 5 are like terms because they both have no variable and they are both raised to the power of 1 (any number that is itself is raised to this power). 4x and 12x are like terms because they both have an x and a power of 1. 4y and 5x are not like terms because they have different variables. 4x³ and 2x² are not like terms because they are raised to different powers.
Now, we see that with our numbers, x² and -2x² are like terms, and -x and 8x are also like terms. We can combine accordingly.
[tex]x^2-2x^2=-x^2\\\\-x+8x=7x[/tex]
Now we combine to get our simplified expression!
[tex]-x^2+7x[/tex]
I hope that this helps! Have a wonderful day!
Simplify the expression:
5k + 7 + 10
Answer:
5k+17
Step-by-step explanation:
Combine like terms. Like terms are terms such as 10 and 7. Some caome with variables, such as 5k and 6k. 10+7 is 17. Since you can't combine unlike terms, the expression becomes 5k+17.
Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.
Answer:
g = j - 12
Step-by-step explanation:
We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:
j = g + 12
if we solve for g:
g = j - 12
which is the same as saying that Gus made 12 number of engine less than Jessie
Answer:
g = x - 12
where x is the number of axles installed by Jessie
Step-by-step explanation:
Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.
As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,
x = g + 12
Such that
g = x - 12
A daycare center charges $300 per month for preschool and $3.50 per hour every hour after preschool. The function c = 300 + 3.50h can be used to represent the total cost c of monthly preschool and childcare, where h is the number of hours spent in childcare after preschool. If the one month charges for one child totaly $637.75, what was the total number of hours the child spent in childcare after preschool? *
Answer:
The total number of hours the child spent in childcare after preschool was 96.5.
Step-by-step explanation:
The cost of the preschool, in function of the number of hours that the child spent there, is given by the following equation:
[tex]c(h) = 300 + 3.5h[/tex]
If the one month charges for one child totaly $637.75, what was the total number of hours the child spent in childcare after preschool?
This is h when c(h) = 637.75. So
[tex]c(h) = 300 + 3.5h[/tex]
[tex]637.75 = 300 + 3.5h[/tex]
[tex]3.5h = 337.75[/tex]
[tex]h = \frac{337.75}{3.5}[/tex]
[tex]h = 96.5[/tex]
The total number of hours the child spent in childcare after preschool was 96.5.
Find the length of the third side to the nearest tenth.
Answer:
What’s the third length?..
Step-by-step explanation:
The radius of a circle is 6mm. What is the area of the shaded portion of the circle.
The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3
Area of a sectorFrom the question, we are to determine the area of the shaded portion.
The shaded portion in the circle is the major sector.
The area of a sector is given by the formula,
[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]
Where [tex]\theta[/tex] is the angle subtended by the sector
and r is the radius of the circle.
From the given information,
r = 6 mm
and [tex]\theta[/tex] is the angle subtended by the major sector
Therefore
[tex]\theta = 360^\circ - 70^\circ[/tex]
[tex]\theta = 290^\circ[/tex]
Putting the parameters into the formula, we get
[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]
Simplifying
[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]
Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3
Lear more on area of a sector here: https://brainly.com/question/10090807
Can you pleasee help me with the Screenshot Below its Overdue.
Answer:
what grade is this its and your answer is
Step-by-step explanation:
13/5 63/1 A = X
Which equation can be used to find the unknown length, a, in this triangle?
You need more information. Maybe a picture?
Answer:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
Step-by-step explanation:
Find the area of the shaded regions:
Answer:
You are gonna need to gimme that shaded area
Step-by-step explanation:
I cant do it without them
Answer:
144
Step-by-step explanation:
72 the 72 it equals it and plus they are adjacent
Grade 7 . Pre-Assessment
4. David has a total of 72 game cards in his collection. A friend gave him 27 of the
cards. David purchased the rest of the cards in packages of 9 at the store.
How many packages of cards did David purchase?
A. 6
B. 5
C. 4
D. 3
Correct Answers only!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
$12000
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 40000 × 15/100 × 2
I = $12000
Solve. - 5 3/4 - 3 1/2
Answer: Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form: −37/4
Step-by-step explanation:
easy geometric shapes questions help please! they go together
7.solution
v=4/3πr^3
=4/3π×6^3
=4/3×216cm^3π
=288cm^3π
8.solution
SA=4πr^2
=4×6^2π
=4×36cm^2π
=144cm^2π
Mabel is the costume manager for a large theater company. She has 20 different hats,
including 4 pork pie hats.
What is the probability that a randomly chosen hat from Mabel's inventory will be a pork pie
hat?
Write your answer as a fraction or whole number.
P(pork pie hat) =
Submit
Answer:
4/20 or 1/5 being simplified
Step-by-step explanation:
Which equation demonstrates the additive identity property?
(7 + 4i) + (7-4i) = 14
(7 + 4i) + 0 = 7 + 4i
(7 + 4i) ( 1 ) = 7 + 4i
(7 + 4i) + (-7- 4i) = 0
the answer for the question is b! :)
4/x - 3/y = 1 ............(1)
6/x + 15/y = 8 ........(2)
Answer:
1. No x-intercept/Zero
2. x = 3/4
Step-by-step explanation:
