6 Three of the ten people in the Latin club are chosen at random to represent the club at a tournament. What is the probability that Joseph, Heidi, and Katy are chosen?
Answers
The probability that Joseph, Heidi, and Katy are chosen is 1/40 if three of the ten people in the Latin club are chosen at random to represent the club at a tournament option (G) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Total ways of choosing 3 out of 10 = C(10, 3) = 120
Total outcomes = 120
Total favorable outcomes = 3(Joseph, Heidi, and Katy)
Probability = 3/120 = 1/40
Thus, the probability that Joseph, Heidi, and Katy are chosen is 1/40 if three of the ten people in the Latin club are chosen at random to represent the club at a tournament option (G) is correct.
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Related Questions
The diameter of a circle is 14 kilometers. What is the circle's area? d=14 km Use 3.14 for . square kilometers
Answers
Answer:
153.86
Step-by-step explanation:
The equation for the area of a circle is A = πr^2. The "r", in this sense, is the radius, which is half of the diameter. If the diameter is 14 then the radius is 7. The radius will then be squared to create 49, as 7 multiplied by itself is 49. The number must then be multiplied by π, or in this case, 3.14. This will give you the answer of 153.86.
plsss help and explain how to do it because im confused
Answers
What is the volume of this figure?
Enter your answer in the box.
Answers
Answer:
Pls list the figure-
Step-by-step explanation:
If you dont list it we cant help you if its a cube just multiply the sides
if tan of theta =3/4 what is sec of theta
Answers
Answer:
5/4
Step-by-step explanation:
Given :
tanθ = 3/4 = opposite/adjacentFinding the missing side :
The hypotenuse must be found√3² + 4²√255Taking the sec ratio :
secθ = hypotenuse/oppositesecθ = 5/4The volumes of two similar solids are 210 m3 and 1,680 m3. The surface area of the larger solid is 856 m2. What is the surface area of the smaller solid? 107 m2 214 m2 1034 m2 6848 m2.
Answers
The surface area of the smaller solid according to the task content is; 107m²
What is the surface area of the smaller solid?It follows from task content that the two solids are similar. On this note, the same formula applies for calculating their areas and volume.
Since, surface area is directly proportional to the volume in both shapes;
The surface area of the smaller solid is;
A = (210 × 856)/1680
A = 107m².
Read more on surface area and Volume;
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Answer:
A
Step-by-step explanation:
If MNPQ is a quadrilateral, what is angle MQP
Answers
Answer:
62°Step-by-step explanation:
angle M = angle Q
(An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.)
so
Angle Q = 30 + 32
Angle Q = 62°
The diameter of the center circle on a soccer field is 20 yards. What is the area of the circle?
Answers
Answer: pie × r² = 314
Step-by-step explanation:
3.14 ×10 × 10 where r is diameter/2
A particular type of bacteria splits into 2 every 30 minutes. There are 8 bacteria in the petree dish when you start your shift of looking after the culture. Write an exponential function B(t) where t is the time periods elapsed and B is the number of bacteria.
Answers
Please help! 25 points
Answers
Answer:
C.
Step-by-step explanation:
which functions have a maximum and are transformed to the left and down of the parent function, f(x)=x²? check all that apply
p(x)=14(x+7)²+1
q(x)=-5(x+10)²-1
s(x)=-(x-1)²+0.5
g(x)=2x²+10x-35
t(x)=-2x²-4x-3
Answers
Answer:
q(x) and t(x)
Step-by-step explanation:
p(x) has no maximum (bc it's an upward parabola) and is shifted up from the parent equation
q(x) has a maximum (downward parabola) and is shifted left and down from the parent equation
s(x) has a maximum (downward parabola), but is shifted right and up of the parent equation
g(x) has no maximum (upward parabola) but is shifted left and down
t(x)has a maximum (downward parabola) and is shifted left and down from the parent equation
See the attached image for details :) hope this helps!
help me solve this problem please
Answers
hope this helps :D
Members of a baseball team raised $1592.50 to go to a tournament. They rented a bus for $844.50 and budgeted $68 per player for meals. Determine the number of players the team can bring to the tournament.
Answers
Answer: Assume p to be the number of players, then, the equation which describes this problem is,
844.50+ 68 p = 1592.50844.50+68p=1592.50
68 p = 74868p=748
p = 11p=11.
The number of players, the team can bring to the tournament are 11.
Step-by-step explanation:
Answer: They can bring 11 players to the tournament.
Step-by-step explanation:
$1592.50 - $844.50= $748
Divide $748 by $68, then you will get 11. And 11 will be the answer.
What is square root of pi^2 = ?
Answers
Answer:
Pi
Step-by-step explanation:
The square root and exponent cancel each other out.
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1400 grams and mass was decreasing by 8% per day. Determine the mass of the radioactive sample at the beginning of the 17th day of the experiment. Round to the nearest tenth (if necessary).
Answers
Answer: 339.3 grams
Work Shown:
y = 1400(1-0.08)^x
y = 1400(1-0.08)^17
y = 339.25097192703
y = 339.3
if there are 95 students in a school and there are 12 classes how many students are in each class
Answers
Answer:
11 classes will have 8 students, 1 class will have 7 students
Step-by-step explanation:
Take the total number of students and divide by the number of classes
95 / 12 =7.916666
Most classes will have 8 students, 1 class will have 7 students
Write the coordinate pair (x,y) for each of the following
Answers
I need help. I'm desperate. Find the area of the shaded region, round to the nearest tenth. I will give brainliest
the answer is NOT 17.4
Answers
ANSWER
A. (243pi+162) ft^2
EXPLANATION
The area of the shaded region is the sum of the area of the major sector and the area of the isosceles triangle.
Area of major sector
[tex]=\frac{360-90}{360}[/tex] × [tex]\pi[/tex] × [tex]18^2[/tex][tex]=243\pi ft^2[/tex]
The area of the isosceles triangle is calculated using the formula;
[tex]=\frac{1}{2}r^2sin(0)[/tex]
[tex]=\frac{1}{2}[/tex] × [tex]18^2[/tex] [tex]sin(90)[/tex][tex]=162ft^2[/tex]
The area of the shaded region
[tex]=(243\pi +162)ft^2[/tex]
The correct answer is A.
SOMEONE HELP I DON'T UNDERSTAND :(
4) Solve for x and find the measure of angle zxy
Answers
Answer:
Angle zxy = 55 degrees, x = 12
Step-by-step explanation:
Since the angle WXY is labeled as a right angle from the square in the angle, and angle WXZ is 35 degrees, we know that angle ZXY must be 55 degrees, because 55+35 = 90. Then to solve for x, we use the measure of angle ZXY to construct the equation 4x+7 = 55. subtract 7 from both sides to get 4x = 48, then divide both sides by 4 to arrive at the answer of x = 12.
Convert the fraction below into a decimal using
long division. Round any repeating decimals to
the thousandths.
13/15
Answers
Answer:
0.86666666666667
Step-by-step explanation:
What we have to do is do 13 divided by 15 which equals 0.86666666666667.
Please help! Also please explain how you got any of the answers!
Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.
Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answers
Answer:
hey dude try doing them first then ask people thry are easy also open your book and see the steps there
Multiply and show the steps on how to solve this
(2-3x) (3+8x)
Answers
Answer:
-24x² + 7x + 6
Step-by-step explanation:
(2 - 3x)(3 + 8x)6 - 9x + 16x - 24x²-24x² + 7x + 6Answer:
-24x²+7x+6
Step-by-step explanation:
Rearrange terms
Rearrange terms
(2-3x)(3+8x)
(-3x+2)(3+ 8x)
(-3x+2)(3+ 8x)
(-3x + 2)(8x + 3)
3
Distribute
(-3x+2)(8x + 3)
-3x(8x + 3) + 2(8x + 3)
4
Distribute
-3x(8x + 3) + 2(8x + 3)
-24x2-9x + 2(8x + 3)
Distribute
-24x² - 9x + 2(8x + 3)
-24x² - 9x + 16x + 6
6
Combine like terms
-24x²-9x + 16x + 6
-24x²+7x+6
Solution
-24x²+7x+6
help me find the slope of the roof plss
Answers
Answer:
The slope of the roof is 2ft / 6ft = 1ft / 3ft
Step-by-step explanation:
slope = rise / run
rise is the increasing height = 2ft
run is the length = 6ft
slope = 2ft / 6ft this can be simplified to 1ft / 3ft
Could someone please answer and explain the following question?
Answers
Answer:
see explanation
Step-by-step explanation:
the error in the question is that
sec²x = [tex]\frac{1}{cos^2x}[/tex] ≠ [tex]\frac{1}{sin^2x}[/tex] , and
csc²x = [tex]\frac{1}{sin^2x}[/tex] ≠ [tex]\frac{1}{cos^2x}[/tex]
have been used incorrectly in simplifying the expression
then
[tex]\frac{tan^2x+1}{1+cot^2x}[/tex]
= [tex]\frac{sec^2x}{csc^2x}[/tex]
= [tex]\frac{\frac{1}{cos^2x} }{\frac{1}{sin^2x} }[/tex]
= [tex]\frac{1}{cos^2x}[/tex] × [tex]\frac{sin^2x}{1}[/tex]
= [tex]\frac{sin^2x}{cos^2x}[/tex]
= tan²x
Giving Brainyest to the person with the correct answer
Answers
Answer:
C. 6.475 is the answer
Can someone help please!!
Answers
30 is next to 90, 90 goes reflection is 90
I need help please asap ! Quick answer
Answers
Answer:
I think that is the fist one.
Which relation is also a function?
A. ((10, 5), (5, 10), (15, 5), (20, 25),
(25, 15))
B. ((10, 5), (5, 10), (15, 10), (20, 25),
(20, 15))
C. x 5 10 20 10 25
y 10 5
15 15 20
5
2
D.
3
7
B
Answers
Answer:
A
Step-by-step explanation:
A because the vertical line test passes if you graph all the points.
Find the surface area of a square pyramid or it’s side length 5m and. Slant height 4m
Answers
Answer:
h = height s = slant height a = side length P = perimeter of base e = lateral edge length r = a/2 V = volume L = lateral surface area B = base surface area A = total surface area
A = 72.17 m2
Step-by-step explanation:
hope this helped!
can you please factorise 10fz-25z
Answers
Answer:
5z(2f - 5)
Step-by-step explanation:
What is the greatest common factor of 10 and -25? Both can be evenly divided by 5. Thus, divide both numbers by 5 and place the 5 outside of the parentheses.
(10fz - 25z) -----> 5(2fz - 5z)
Next, do the two terms share any variables? Both are multiplied by "z". Thus, you can divide each term by "z" and place it outside of the parentheses.
5(2fz - 5z) -----> 5z(2f - 5)
The terms no longer share any common factors. Therefore, your final answer is: 5z(2f - 5).
I need help please answer
Answers
Answer:
It will be in quadrant one if it flips across the x-axis becuase the x-axis will take it toward the right which is the quadrant 1
Step-by-step explanation: hope this helps
Answer:
Quadrant III
Step-by-step explanation:
When you reflect across the X-axis, you flip it over the horizontal line. The Quadrants are numbered like this : 2 1
3 4
So it will be in Quadrant III
