So
P(A)=0.33P(A')=0.67Now
They win from 15games=10They lose=5The required probability
[tex]\\ \rm\rightarrowtail P(A')^{10}\times P(A)^5\times ^{15}C_{10}[/tex]
[tex]\\ \rm\rightarrowtail (0.33)^{5}\times (0.67)^{10}\times \dfrac{15!}{5!10!}[/tex]
[tex]\\ \rm\rightarrow 0.0039(0.0182)\times\dfrac{15(14)(13)(12)(11)10!}{5!10!}[/tex]
[tex]\\ \rm\rightarrowtail 0.00007098\times \dfrac{360360}{120}[/tex]
[tex]\\ \rm\rightarrowtail 0.00007098(3003)[/tex]
[tex]\\ \rm\rightarrowtail 0.213[/tex]
So probability
0.213(100)=21.3%Option B
Answer:
b. 21.4 % (nearest tenth)
Step-by-step explanation:
P(lose) = 33% = 0.33
P(win) = 1 - 0.33 = 0.67
Using binomial distribution X ~ B(n, p)
where n is the number of trials and p is the probability of success
⇒ X ~ B(15, 0.67)
Binomial probability formula:
[tex]\sf P(X=x)= \ _nC_x\cdot p^x \cdot(1-p)^{n-x}[/tex]
[tex]\sf \implies P(X=10)=15C10\cdot 0.67^{10} \cdot(1-0.67)^{15-10}[/tex]
[tex]\sf =3003 \cdot 0.67^{10} \cdot 0.33^5[/tex]
[tex]\sf =0.214226434...[/tex]
Converting to percentage:
0.214266434... x 100% = 21.4 % (nearest tenth)
what are the solutions to the equation?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \:f(x) = g(x)[/tex]
[tex]\qquad \sf \dashrightarrow \:x + 2 = - {x}^{2} + 4[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + x + 2 - 4 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + x - 2 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 2x - x - 2 = 0 [/tex]
[tex]\qquad \sf \dashrightarrow \:x(x + 2) - (x + 2) = 0[/tex]
[tex]\qquad \sf \dashrightarrow \:(x + 2)(x - 1) = 0[/tex]
Hence, x = -2 or x = 1
help asap please)
The vertices of a trapezoid are shown below.
P(0,0),Q(4,0),R(4,6),S(0,12)
This trapezoid is dilated about the origin by a scale factor of 4. What is the location of point P?
A. (0,0)
B. (4,0)
C.(4,4)
D.(0,4)
Answer: A
Step-by-step explanation:
You can multiply the coordinates by 4, giving (0,0)
I need help.ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
use a kittykat proportion
Step-by-step explanation:
I need this asap give me the right answer
Answer:
Its 320 i think its so many numbers my eyes cant keep up
Step-by-step explanation:
just add em all up
solve pls brainliest
Answer:
a) 441 gallons
b) -243 fish
Step-by-step explanation:
For a), multiply the 7 gallons of water by the 63 minutes to get 441 total gallons of water added
For b), multiply the 27 fish by 9 days to find the total decrease in fish, which is -243 fish.
Hopefully this helps - let me know if you have any questions!
What is the solution to the equation below?
5x = 2x + 12
O A. x = 4
B. x= 12
C. x= 6
O D. No Solutions
SUBM
Answer:
5x=2x+12
5x-2x=12
3x=12
x=4
A is the coreect one
Line M is represented by the following equation: x + y = −1 What is most likely the equation for line P so the set of equations has infinitely many solutions? (4 points) Group of answer choices x − y = 1 2x + 2y = 4 2x + 2y = −2 2x + 2y = 2
The most likely equation for line P so the set of equations has infinitely many solutions is 2x + 2y = -2.
How to know an equation with infinitely many solutions?If a linear equation has the same variable term and the same constant value on both sides of the equation, it has infinitely many solutions.
Therefore, let's check for the equation with the same terms and constant with the equation :
x + y = -1
Hence, the most likely equation of line p is as follows:
2x + 2y = -2
divide both sides by 2
2x/ 2 + 2y / 2 = -2 / 2
x + y = - 1
The equation of the line will be 2x + 2y = -2
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What single decimal multiplier would you use to decrease by 2% followed by a
3% decrease?
2% decrease= 0.98
3% decrease = 0.97
A simple random sample is drawn from a normally distributed population, and when making a statistical inference about the population mean, the margin of error is found to be 5. 9 at a 95% level of confidence. If the mean of the sample is 18. 7, what is the 95% confidence interval for the population mean? 18. 7 ± 5. 9 18. 7 ± 9. 7 18. 7 ± 11. 6 18. 7 ± 15. 2.
The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The population mean with a 95% confidence interval is 18.7±5.9.
What is the margin of error?The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.
In order to find the population of the mean, we need to subtract the margin of error from the sample mean. Therefore, the population mean with a 95% confidence interval is 18.7±5.9.
Learn more about Margin of Error:
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How can you find percents
Answer:
To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%. The second case involves a fraction. If the given number is in fractional form, first convert it to a decimal value and multiply by 100.
Step-by-step explanation:
. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%
hope this will help
Problem What is the volume of a cylinder with base radius 4 and height 7?
Answer:
351.86
Step-by-step explanation:
V = π r² h
V = (3.14) (4)² (7)
V = (3.14) (16) (7)
V = 351.86
A
the angle of elevation from point a to the top of a hill is 499.
if point a is 400 feet from the base of the hill, how high is
the hill?
a4
49
Answer:
899 ft
Step-by-step explanation:
if point a is 400 feet from the base and 499 feet away from the top you would need to add 400+499 together to get 899
What is the area of a regular pentagon with a side of 15 cm?
Answer:
hello.
• Area: 387.11cm²
•A (side)= 15 cm.
hope this helps.
Help me someone please
Answer:
150
Step-by-step explanation:
since a circle is 360 degrees, add up all of the other degrees and then subtract from 360
What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. A normal curve with a peak at 0 is shown. The area under the curve shaded is 1 to 2. Z Probability 0. 00 0. 5000 1. 00 0. 8413 2. 00 0. 9772 3. 00 0. 9987 0. 14 0. 16 0. 86 0. 98.
The approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
It is given that the standard normal curve shows the shaded area in the curve.
It is required to find the approximate area of the unshaded region under the standard normal curve.
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
In the curve showing the shaded region area between:
[tex]\rm P(1 < Z < 2)[/tex]
First, we calculate the shaded region area:
From the data given the value of Ф(1) = 0.8413.
P(Z<1) = 0.8413 and
P(Z<2) = 0.9772
The area of the shaded region:
= P(Z<2) - P(Z<1)
= 0.9772 - 0.8413
= 0.1359
The area of the unshaded region:
= 1 - The area of the shaded region ( because the curve is symmetric)
= 1 - 0.1359
= 0.8641 ≈ 0.86
Thus, the approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
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Hello I need help on this math question
Answer:
A. 904.32 ft cubed
Step-by-step explanation:
determine the equation of the circle with center (0,6) containing the point (74,2)
The circle with center (0,6) containing the point (74,2) has an equation of x² + (y - 6)² = 74.1²
How to calculate the equation of a circle
The equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the center and r is the radius.
The circle with center (0,6) containing the point (74,2). Hence:
[tex]Radius=\sqrt{(2-6)^2+(74 -0)^2}=74.1\ unit[/tex]
The equation is:
x² + (y - 6)² = 74.1²
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solve for Surface Area
Answer:
325.76
Step-by-step explanation:
72+104+149.76
in each diagram line p is parallel ANSWER FAST Pls
Answer:
choice A is correct
Step-by-step explanation:
the value of x should be 75
Carlos paid for 7 pallets of grass to be delivered.
Each pallet of grass cost $108.25.
Carlos paid $89.99 for delivery.
What is the total amount Carlos paid?
Answer:
$847.74
Explanation:
Each pallet → $108.257 pallets → $108.25 * 7 = $757.75total cost:
7 pallets cost + delivery cost $757.75 + $89.99$847.74Answer:
$847.74
Step-by-step explanation:
Given:
Cost of one pallet = $108.25Delivery charge = $89.99 Number of pallets in order = 7Total amount paid = (cost of one pallet x number of pallets ordered) + delivery charge
⇒ total = (108.25 x 7) + 89.99
= 757.75 + 89.99
= 847.74
help me pls i’ll reward brainliest
Answer:
D. 288π
Step-by-step explanation:
Volume = [tex]\frac{4}{3}[/tex]π[tex]r^3[/tex]
A = π [tex]\frac{4}{3} (6)^3[/tex]
A = π [tex]\frac{4}{3} (216)[/tex]
A = 288π
I hope this helps!
You have $1000 invested for 3 years and get 10% interest.
Answer:
$1331 compounded annually after three years
Step-by-step explanation:
Given the following question:
1000 dollars invested (princpal)....
You invest that 1000 dollars for three years (time)....
Assuming it's compounded annually we need to substitute the values into the formula to calculate compound interest.
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
[tex]P=1000[/tex]
[tex]\frac{r}{n} =\frac{10}{100} =10\div100=0.1[/tex]
[tex]nt=(1)(3)[/tex]
[tex]A=1000(1+0.1)^{(1)(3)}[/tex]
[tex]1\times3=3[/tex]
[tex]A=1000(1+0.1)^{3}[/tex]
[tex]1+0.1=1.1[/tex]
[tex]1.1^3=1.1\times1.1\times1.1=1.331[/tex]
[tex]A=1000\times1.331[/tex]
[tex]1000\times1.331=1331[/tex]
[tex]=1331[/tex]
Which means after a intital investment of 1000 dollars you will have "1331 dollars" after three years compounded annually.
Hope this helps.
HELP QUICK EASY QUESTION IM JUST DUM
A factory has 10 pounds of red dye for its marbles. Each batch of
marbles uses 0.2 pound of red dye.
a. Juan says that the factory can make 5 batches of marbles with
the 10 pounds of dye. Explain why his statement is not reasonable.
Answer:
10 ÷ 0.2=50
Step-by-step explanation:
10 lbs in total. Each batch uses 0.2 lbs.
We can find how many batches can be made by dividing 10 by 0.2.
10 ÷ 0.2=50
Juan is incorrect because if they could only make 5 batches then they would have only had 1 pound of red dye available.
They have 10 pounds of red dye available to make marbles, and if each batch takes only 0.2 lbs of it, then they can make 50 batches of marbles.
3x + y = 4 6x + 4y = 6 equivalent equation and solution
Answer:
x = 5/3 , y = -1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}3x+y=4\\ 6x+4y=6\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=\frac{4-y}{3}[/tex]
[tex]\begin{bmatrix}6\cdot \frac{4-y}{3}+4y=6\end{bmatrix}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\begin{bmatrix}2y+8=6\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=\frac{4-y}{3}[/tex]
[tex]\mathrm{Substitute\:}y=-1[/tex]
[tex]x=\frac{4-\left(-1\right)}{3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=\frac{5}{3}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=\frac{5}{3},\:y=-1[/tex]
3(5/3) + -1
5-1 = 4
True
6(5/3) + 4(-1)
10 -4 = 6
True
~lenvy~
A- 5 = 31
0.5b - 5 = 31
2c - 5 = 31
Answer:
what is the question?
Step-by-step explanation:
Look at the photo attached
Answer:
Step-by-step explanation:
A = true
D = true
HELP!!! The diameter of a circular wall hanging is 4 ft. What is the area of the wall hanging to the nearest tenth? Use 3.14 for π.
A: 3.1 ft2
B: 12.6 ft2
C: 9.4 ft2
D: 6.3 ft2
Help it’s do in 5 minutes
Answer:
B
Step-by-step explanation:
Area of circle= πr²
Start by finding the radius:
Diameter= 2(radius)
4= 2(radius)
radius= 4 ÷2
radius= 2 ft
Area of circular wall hanging
= 3.14(2²)
= 3.14(4)
= 12.56
= 12.6 ft² (nearest tenth)
Thus, option B is correct.
Which graph represents the solution to the compound inequality?
4x + 8<-16 or 4x + 824
O4+
=>
-7 -6 -5 4 -3 -2 -1 0 1
O4
-7 6 5 4 3 2 1 0
1
O
+ +
-7 -6 -5 4 -3 -2 -1 0 1
O
-7 -6 -5 4 -3 -2 -1 0 1
Answer:
We know that the slope or rate of change of the function can be:
positive
negative
zero, or
undefined
Function 1
From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0
so using the slope formula
Rate of change = m = y₂-y₁ / x₂-x₁
Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)
Rate of change = m = 4-4 / 1-0
Rate of change = m = 0/1
Rate of change = m = 0
Thus, the rate of change of function 1 is zero.
Function 2
We know the slope-intercept form of linear equation is
where m is the rate of change or slope of the function and b is the y-intercept
Given the function
comparing with the slope-intercept form i.e. y = mx+b
Therefore, the rate of change of function 2 = m = 8
Conclusion
The rate of change of function 1 = 0
The rate of change of function 2 = 8
as
8 - 0 = 8
Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.
We know that the slope or rate of change of the function can be:
positive
negative
zero, or undefined
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Function 1
From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0
so using the slope formula
Rate of change = m = y₂-y₁ / x₂-x₁
Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)
Rate of change = m = 4-4 / 1-0
Rate of change = m = 0/1
Rate of change = m = 0
Thus, the rate of change of function 1 is zero.
Function 2
We know the slope-intercept form of linear equation is y = mx+b
where m is the rate of change or slope of the function and b is the y-intercept
Given the function
comparing with the slope-intercept form i.e. y = mx+b
Therefore, the rate of change of function 2 = m = 8
Conclusion
The rate of change of function 1 = 0
The rate of change of function 2 = 8
as
8 - 0 = 8
Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.
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Lin is trying to earn money to go to knott's. She already has $15 saved up, and her dad is paying her $3 per chore she does. She needs at least $52 to get into the park.
Answer:
Lin needs to do 16 more chores if she wants to be able to pay the park fee
Step-by-step explanation:
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
10 POINTS!
A restaurant manager collected data and created the histogram shown below.
Which of the following statements accurately describes the information in the graph?
A.
The age range with the highest number of visitors is 11-20.
B.
The age range with the highest number of visitors is 31-40.
C.
The age range with the lowest number of visitors is 1-10.
D.
The age range with the lowest number of visitors is 21-30.
Answer:
B
Step-by-step explanation:
Answer:
I think it's C
Step-by-step explanation: