The probability that the director chooses 3 boy kittens and 2 girl kittens is 0.32.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have total number of kitten = 4+5 = 9
Total number of outcomes if the director is going to choose 5 of these kittens at random to be in the commercial:
= C(9, 5) = 126
The director chooses 3 boy kittens number of ways:
= C(4, 3) = 4
The director chooses 2 girl kittens number of ways:
=C(5, 2) = 10
Total favourable outcomes = 10×4 = 40
The probability = 40/126
= 0.317 ≈ 0.32
Thus, the probability that the director chooses 3 boy kittens and 2 girl kittens is 0.32.
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Find (a) arc length and (b) Area of a sector.
Answer:
a) 29.45 cm (2 dp)
b) 220.89 cm² (2 dp)
Step-by-step explanation:
Formula
[tex]\textsf{Arc length}=r \theta[/tex]
[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]
Calculation
Given:
[tex]\theta=\dfrac{5 \pi}{8}[/tex] r = 15 cm[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}[/tex]
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3200 seats. The students filled 2496 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
The percentage of the seats in the theater were filled by the 6th graders on the trip is 78%.
What is the percentage?Percentage is a measure of frequency that is expressed as the fraction of a number out of 100.
The percentage of the seats in the theater were filled by the 6th graders = (number of filled seats / total number of seats) x 100
(2496/3200) x 100 = 78%
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Non-Liner System of Equations:
I created two systems of equations (one being linear one being quadratic) and need to solve them algebraically with work shown.
pls help
f(x) = 3x + 5
f(x) 3x^2 + 5
Answer: x=1, x=0
Step-by-step explanation:
Urgent Please Help!!!!
What percentage of scores lie in the shaded region? Use the empirical rule to find your answer.
Answer:
81.5%
Step-by-step explanation:
A car has an average speed of 45 miles per hour. how long will it take to travel 360 miles? which equation and decimal form are represented by the visual model?
Answer:
It would take 8 hours to drive 360 miles.
Step-by-step explanation:
360/45=8
D=R*T
Will mark brainlist to whoever answers first
Find the coordinates of the image of J( 8,7 ) after a reflection over the x-axis.
Answer: A
Step-by-step explanation:
On a reflection through the x-axis, the x-coordinate of the point will not change, but the y-coordinate will be changed with a negative sign.
So, the reflection of the point is: (8, -7)
Therefore, Option(a)(8, -7) is true.
Awnser This Question to get 10pts!
Remember to say: 1. 2. (Beetween 1.) and 3.
Answer
Box (1) : 240Box (2) : 40Box (3) : 2632Hope it helps
Using the image above, what is the measure of Angle D? Round to the nearest hundredth
Answer:
57.1 degrees
Step-by-step=
32.9+90=122.9
180-122.9=57.1
A bag contains 5 pictures of Paris and 7 pictures of London. Determine whether the events of selecting the picture of Paris and another picture of Paris with replacement are independent or dependent. Then identify the indicated probability.
The events of selecting the picture of Paris and another picture of Paris with replacement are independent events.
The probability of picking two Paris pictures is 25/144.
What is an independent event?Independents events are events whose occurrence do not depend on each other. They are random event.
The probability of picking two Paris pictures = (number of Paris pictures / total number of pictures) x (number of Paris pictures / total number of pictures)
5/12 x 5/12 = 25 / 144
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How many graduates from university a had an income under 20,000
8x+5y=16 8x+10y=56 what strategy could you apply to use the linear combination method to solve the system?
Answer:
elimination
Step-by-step explanation:
Options :
(24 - n ) - 6
(25 - n) + 6
25 + 4x
25 - (6 + n)
Answer: 25 - (6 + n)
Explanation:The number 25 is decreased by and sum of number.
The numbers are 6 and n, Their Sum = (6 + n)
When 25 is decreased by this sum of numbers
25 - (6 + n)Answer:
25 - (6+n)
Step-by-step explanation:
Important terms:
Decreased means to go down which represents subtraction Sum means the total amount which represents additionLet "a number" = nFinding the answer
We want to find a word phrase that matches the expression, 25 decreased by the sum of 6 and a number.
Using the terms we just defined we know that the sum of 6 and a number would be 6 + n. ( as again sum = addition or total amount of )
25 is being decreased by the sum of 6 and n so in other words the sum of 6 + n is being subtracted by 25 which would result us in getting 25 - (6+n)
Why the "6+n" must be in parenthesis
The 6 + n must be in the parenthesis because the individual sum of those two numbers is being subtracted from 25.
3/4 to decimal what the answer
Answer:
0.75
Step-by-step explanation:
4/4=1
3/4=0.75
2/4=1/2=0.5
1/4=0.25
SOmeone please help me with this math puzzle
Answer:
1) (I) 1/4, 2) (B) 11/20, 3) (G) 3/20, 4) (C) 4/5
Step-by-step explanation:
Probability is Desired Outcome/All Possible Outcomes. For the first problem, we want apples, which is 25. Altogether though, there are 100 options. So, we get 25/100 or 1/4. For the second, oranges and grapes together (because either would be a desired outcome) are 55. So, we have 55/100, or 11/20. For the third, apples and oranges, the max can be 15, because that's how many total oranges (the lesser of the two) and you can't have anything other than that. So, we get 15/100 or 3/20. Finally, we're looking for everything but bananas, which is 100-20, or 80. For that, we get 80/100 or 4/5.
Hope this helped!
Answer:
Question 1: The Students favorite fruit is an apple is 1/4
Question 2: 3/20
Question 3: 2/5
Question 4: 4/5
Step-by-step explanation:
* All of the fruits equal up to 100, so 25 percent of 100 is 1/4 or 0.25
* Do 100/55. It should give you 5.8181818181818181818181818181818 which would be at least 3/20 because it is closer to 1.
* 25+15=40. 2/5=0.4 which is 40% of 100.
Kindly help me solve this questions
a) 3/X+2-2=1/1/2
b) 3(4-7x)/5-0.7=x-6/2
Answer:
a) x=6
b) x= 498/463
hope this helps!!
Last question!!! please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
======================================================
Explanation:
Draw out a right triangle as you see below.
Let's use the pythagorean theorem to find 'a'
[tex]a^2 + b^2 = c^2\\\\a = \sqrt{c^2 - b^2}\\\\a = \sqrt{(9.9)^2 - (7.3)^2}\\\\a = \sqrt{44.72}\\\\a \approx 6.6873\\\\a \approx 6.7\\\\[/tex]
Some paint is made by mixing 2 cans of white paint for every 5 cans of red
paint. To make the same tint, how many cans of white paint would you need if
you used 13 cans of red paint? Explain how you solved the problem.
Does anybody know this? Find the circumference of a circle if the diameter is 8 meters do not round your answer use 3.14 for pi
Answer:
The circumference of the circle is 25.12 meters
Step-by-step explanation:
By definition, the circumference of a circle is the perimeter or the length around the circle.
To find the circumference of a circle, all we need to do is multiply the radius by pi and 2. Giving us the equation :
C = 2 * pi * r
We are also given that the diameter of the circle is 8 meters. With this, we can cut it in half to get the radius. 8 / 2 = 4
Now, we plug in our values:
2 * 3.14 * 4
When we evaluate this, we get the answer to be : 25.12
The circumference of the circle is 25.12 meters
Extra references for the definitions of radius and circumference.
The radius is the length from the center of the circle, to the outside (perimeter aka circumference point) of it. The diameter is the length across one end of the circle, to the other end, crossing through the center point.
A quadrilateral has diagonals which are perpendicular to one another. What is the most we can determine about what kind of quadrilateral this is?
Step-by-step explanation:
a rhombus.
all 4 sides are of equal length.
The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a standard deviation Sigma = $4,000. What is the z-score of a company employee who makes an annual salary of $28,000?.
Answer:
see the attachment.
Answer:
C, -1.5
Step-by-step explanation:
edge
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. the table below shows the information about the two credit cards marcia currently uses. card a card b amount $1,389.47 $1,065.32 apr 16% 12% monthly payment $39.38 $28.05 after 4 years, approximately how much will marcia have saved in interest by consolidating the two balances? a. $1,890.24 b. $133.92 c. $543.84 d. $1,346.40 please select the best answer from the choices provided. a b c d
The amount save by Marcia in interest by consolidating the two balances is $133.92.
What is the total payment for APR of 16%?
The total monthly payment for APR of 16% is calculated as follows;
Total monthly payments for 16% =$39.38x48 = $1890.24
What is the total payment for APR of 12%?Total monthly payments for 12% APR = $36.59*48 = $1756.32
Amount saved by MarciaA = $1890.24 - $1756.32
A = $133.92
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scale drawings
the scale drawing car length
is 3.5 cm. if the scale is
1 cm:4.5 ft, what is the actual car
stion length?
length?
Answer:
13•5ft
Step-by-step explanation:
1cm = 4.5ft
3cm = x
cross multiply
x= 3×4•5
:- x = 13•5ft
Find the area of the triangle repost because no one answered last time
Check the picture below.
bear in mind that for a triangle, the height or "altitude" is the perpendicular distance from the top of the triangle to the base.
HELLPP!
Change 17/34 into a percent. Show your work.
Answer:
50%
Step-by-step explanation:
[tex] \frac{17}{34} = \frac{1}{2} = 50\%[/tex]
Which of the following is a closed statement?
A) yis not an odd number .
B) z is a positive number
D) x is an odd number .
D) 30 is an odd number .
Answer:
30 is an odd number
Step-by-step explanation:
hope it help
Question:
Which of the following is a closed statement?
Answer:
D) 30 is an odd number .Step-by-step explanation:
#hope it helps!
Answered by ReyvREYV111
What is the mean absolute deviation of 1, 2, 2, 3, 5, 6, 6, 8, 8, 9
Answer:
5
Step-by-step explanation:
1+2+2+3+5+6+6+8+8+9/10=5
wat is 2+2? im doing this to give you an extra 2 points!
Answer:
oh oh....I know...it's 4....I'm I right
Answer:
4
Step-by-step explanation:
Thanks btw
Let's pretend the [] are boxes.
[] this is one box.
[] [] these are 2 boxes, which is 2
if you put 2 plus 2,
[] [] + [] []
count them, you get 4
Hooray!
If you dunno how to count, you just see each of the boxes, then count up
1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. when you stop seeing the boxes, stop counting - the number you're on is the answer to your + question!
your and friend got 20 frog and your friend caught 5 times more? how many did ur friend catch please explain
If you catch 3.33 frogs. Then the number of the frogs that were caught by your friend will be 16.67.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
You and your friend got 20 frogs and your friend caught 5 times more.
Let you catch x frogs. Then the number of the frogs that were caught by your friend will be 5x.
x + 5x = 20
6x = 20
x = 3.33
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Let you caught x and friend caught 5x
Now
x+5x=206x=20x=20/6x=3.335x=16.67
Which graph below shows the solutions for the linear inequality y2-x+1?
Answer:
The answer will be 1 + y2 - xProve: An odd number squared is an odd number. = (2n + 1)2
Answer:
[tex] {(2n + 1)}^{2} = 4 {n}^{2} + 4n + 1 = 2(2 {n}^{2} + 2n) + 1[/tex]