The probability that a student chosen randomly from the class has a sister, in a class of 25 students, is 2/5.
What is the addition rule of probability for two events?For two events A and B, we have:
Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.
This can be written symbolically as:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
For three events, A, B and C:
[tex]P(A \cup B \cup C) = P(A) + P(B) + P(C) - P(A\cap B) - P(A \cap C) - P(B \cap C) + P(A \cap B \cap C)[/tex]
In a class of 25 students, 16 have a brother and 10 have a sister. There are 6 students who have a brother and a sister.
Let A is event of a student having a brother and B is event of a student having a sister.
The probability of event A is,
[tex]P(A)=\dfrac{16}{25}[/tex]
The probability of event B is,
[tex]P(B)=\dfrac{10}{25}\\P(B)=\dfrac{2}{5}[/tex]
The probability of occurrence of both event A and B together,
[tex]P(A\cap B)=\dfrac{6}{25}[/tex]
Thus, the probability that a student chosen randomly from the class has a sister, in a class of 25 students, is 2/5.
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here jwu4444 thank u so much
Answer:
0
Step-by-step explanation:
Answer:
you're welcome
glad to help!
This bar graph shows the money earned from the sale of skateboards one Saturday at four stores. What can you tell from the information in this graph? A) Skateaway sold the most skateboards. B) Skating is more popular at Great Skates. At Ben's Boards, skateboards cost the least. D) Skateaway made the most money selling skateboards.
Answer:
its D <3
Step-by-step explanation:
hope this helps :)
Answer:
D) Skateaway made the most money selling skateboards.
I just took the test I got it right.
Stay gold
solve the system using elimination
y = -x
10x + 2y = 40
Answer:
so first you would subtract the 10x from the one side so the equation now looks like
2y = -10x + 40
y = −5x + 20
im not sure if this is what you mean but this is how i interpreted it.
if right pls brainly
Jamal works at the recreation center 40 hours a week during the school year. He earns $8.75 an hour for 8 hours a day. Bi-weekly, he works 80 hours. Calculate his bi-weekly taxes below.
Answer:
40x8.75=$350, 80-40=40x8=$320 350+320=$670
Answer:
670
Step-by-step explanation:
Jason just got tired for a new job and will make $80,000 in his first year. Jason was
told that he can expect to get raises of $5,000 every year going forward. How much
money in salary would Jason make in his 23rd year working at this job?
Answer:
$110,080
Step-by-step explanation:
This is an arithmetic sequence because each new term is obtained by adding $5000 to the preivous term.
The general formula for such an arithmetic series is
a(n) = $80,000 + ($5,000)(n - 1)
and so in his 23rd year Jason would make
a(23) = $80,000 + ($5,000)(23 - 1), or
$110,080
Answer:
$110,080 is the answer
Triangle ABC is similar to triangle FGH.
A) 24 cm
B) 9 cm
C) 15.75 cm
D) 28 cm
Answer:
C
Step-by-step explanation:
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
If I remember correctly it should be 7 for the first one and 5 for the second
Answer:
7 & 5
Step-by-step explanation:
Hope it helps:)!!!!!
Please help me
possible answers:
37 degrees
38 degrees
40 degrees
43 degrees
Answer:
38 degrees.
Step-by-step explanation:
Using the Cosine Rule:
11^2 = 10^2 + 17^2 - 2*10*17cos A
cos A = (11^2 - 10^2 - 17^2) / (-2*10*17)
cos A = -268/-340 = 0.788235
m < A = 37.979
35 POINTS AND BRAINLIEST SHOW ALL WORK
9-2x=35 THANK YOUUU
Answer:
x = -13
Step-by-step explanation:
Step 1: Rearrange terms
9-2x=35
-2x+9=35
Step 2: Subtract from both sides of the equation
-2x+9-9=35-9
Step 3: Simplify
-2x+0=26
-2x=26
Step 4: Divide both sides of the equation by the same term
-2x/-2 = 26/-2
Step 5: Simplify
x = 26/-2
x=-13
Hi :) I'm working with rational and irrational numbers. There's a problem .025 with the 25 repeating. If anyone could lend some help on how to solve an equation like this. It would be greatly appreciated.
When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowest terms
Answer:
https://www.sketchywebsite.net/
Step-by-step explanation:
i cant figure out 8 to the power of 7 over 8 to the power of -2
Answer:
134217728
Step-by-step explanation:
Answer:
8⁹Step-by-step explanation:
8⁷ / 8⁻² = 8⁷⁻⁽⁻²⁾ = 8⁷⁺² =8⁹Find the perimeter of the figure. Round all figures to the nearest hundredths place.
Isosceles trapezoid
A 70.24 ft
B 74.48 ft
C 79.42 ft
D 92.84 ft
Answer:92.84
Step-by-step explanation: 39+27+13.5+13.5 because the two sides are longer than 12
The perimeter of the trapezium is 143.94 ft.
We have,
The perimeter of an isosceles trapezium can be found by adding the lengths of all four sides.
In this case, the trapezium has height = 12 ft and parallel sides of length 27 ft and 39 ft.
To find the length of the non-parallel sides we can use the Pythagorean theorem:
a² = (39 - 27/2)² + 12²
a² = 1440
a ≈ 37.95 ft
Therefore,
The perimeter of the trapezium is:
P = 27 + 39 + 2a
P ≈ 27 + 39 + 2(37.95)
P ≈ 143.9 ft
Rounding to the nearest hundredth place,
we get P ≈ 143.94 ft.
Thus,
The perimeter of the trapezium is 143.94 ft.
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What is 1\10 x 1.2 >>>>>>>>>>>>>>>>>>>>>>>>
Answer:
1/10 x 1.2 is 0.12
Step-by-step explanation:
so yeeeeeeee
HELP PLEASE I HAVE BEEN STUCK FOR HOURS THIS IS DUE- I'll mark brainliest. In parallelogram WXYZ, diagonal WY is drawn, M and N are points on WX and YZ respectively, and WY intersects MN at E. If m<Z= 60°, m<WYX= 84°, and m<NEY= 102°, find m<ZNM. l'll mark brainliest, I'm not sure how to do this problem and I'm stressed-
Answer:
m<ZNM = 138 degrees
Step-by-step explanation:
Answer:
138°Step-by-step explanation:
We can observe that:
∠ZWY ≅ ∠XYW as alternate interior anglesm∠ZWY = m∠XYW = 84°m∠WEN = 180° - m∠NEY = 180° - 102° = 78°, as straight angle is 180°m∠WZN = 60° - givenConsider sum of interior angles in quadrilateral WENZ:
m∠ZWY + m∠WEN + m∠WZN + m∠ZNM = 360°Substitute values and find the missing angle:
m∠ZNM = 360° - (84° + 78° + 60°) = 138°Select the correct answer.
Members of a student council are designing a school float for a parade. They decide to poll 10% of the student body to get feedback about the
theme they have chosen.
What would most likely happen if they decided to randomly sample 5% of the student body instead?
Answer: The sample portion would less closely model the population proportion
Answer:
Answer is that is will less closely model to the total population.
Step-by-step explanation:
This is because there are less numbers to be chosen and will be harder to find a proper medium and mean.
Unit 11: Value & Surface Area
Homework 1: Area of planes Figure
Pls Help me with #11
Answer:
The area of the triangle is 351cm^2.
Step-by-step explanation:
To find the area of a triangle, the formula is (1/2) x base x height. In this case, the height would be a line that cuts straight through the center of the triangle. However, this height is not given to us. We can still find it through Pythagoras' Theorem though.
Let A be the tip of the triangle, and B and C be the points on either side of the triangle. Assuming an imaginary line that cuts the triangle in a symmetrical half, let T be the point at the end of the line, directly below point A.
Using Pythagoras' Theorem,
AB^2 = AT^2 + TB^2
AT^2 = AB^2 - TB^2
AT^2 = 30^2 - (26/2)^2
AT^2 = 30^2 - 13^2
AT =
[tex] \sqrt{ {30}^{2} - {13}^{2} } [/tex]
AT = 27.0370116692
So the length of AT is our height. We can now find the area of the triangle.
Area of triangle = (1/2) x 26cm x AT
Area of triangle = 351.4811516996
Area of triangle = 351cm^2 (To 3s.f.)
To the nearest tenth, what percentage of people were in the 41 - 50 age group and favored the Do-It-Yourself books?
A. 9.2%
B 20.4%
C. 45.1%
D. 57.1%
HELPP ASAP
Answer: it should be 9.2%
Step-by-step explanation:
The percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .
What is Percentage ?Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]"\%"[/tex] .
Percentage [tex]=\frac{Obtained\ Number}{Total\ Number} *100[/tex]
We have,
Total number of people [tex]=750[/tex]
Number of people in the [tex]41 - 50[/tex] age group [tex]=268[/tex]
Number of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books [tex]=69[/tex]
So,
Percentage of favored the Do-It-Yourself books in the [tex]41 - 50[/tex] age group [tex]=\frac{Do-It-yourself\ 41-50\ age}{Total\ Number\ people} *100[/tex]
[tex]=\frac{69}{750} *100[/tex]
[tex]=9.2\%[/tex]
So, the percentage of people is [tex]9.2\%[/tex] .
Hence, we can say that the percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .
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If a point is randomly chosen on the square shown, what is the probability that it will be in the red section?
A)
AA
B
)
WP
M
D)
Pa
Explanation: There are four equal sections, one of which is red. So the probability of landing in the red space is 1/4.
Simplify the expression. Write your answer as a power.
Answer:
either 2^8/3^8 or 256/6561
Step-by-step explanation:
looked it up on Symbolab
can you help me please I have been stuck
a bowling ball with a diameter of 10.9
Answer:
34.226
Step-by-step explanation:
10.9 ÷ 2 = 5.45
C = 2πr
2 × 5.45 × 3.14
34.226
Kayla has 16 cups of trail mix that she wants to give to her friends. She decides to divide it into cup portions. How many portions can she make?
[?] portions
Answer:
16
Step-by-step explanation:
A school is holding its annual book fair. The line plot below shows the amount of books students have bought
What is the experimental probability that a student will buy 3 books?
A.4/15
B.3/15
C.4/3
D.4/9
what is the total number of outcomes from selecting one sweatshirt from a choice of five sweatshirts and one pair of pants from a choice of four pants
Answer:
20
Step-by-step explanation:
4x5/20
Cameron and some friends are going to the movies. At the theater, they sell a bag of popcorn for $5.50 and a drink for $3.75. How much would it cost if they bought 3 bags of popcorn and 6 drinks? How much would it cost if they bought pp bags of popcorn and dd drinks?
Answer:
Total cost= $39
Step-by-step explanation:
Giving the following information:
At the theater, they sell a bag of popcorn for $5.50 and a drink for $3.75.
First, we will establish the total cost formula:
Total cost= 5.5p + 3.75d
p= number of bags of popcorn
d= number of drinks
Now, for 3 bags and 6 drinks:
Total cost= 5.5*3 + 3.75*6
Total cost= $39
A high school drama club is selling tickets for a fundraiser event. Based on data from past events, the number of tickets sold can be modeled by a linear function Q(x) = −40x + 640, where x is the price, in dollars, of each ticket. The revenue R can be determined by multiplying the ticket price x by the number of tickets sold. Write a quadratic function R that correctly represents this model.
The quadratic function R that correctly represents the revenue model is given by R(x) = -40x² + 640x.
To find the quadratic function R that represents the revenue, we need to multiply the ticket price x by the number of tickets sold Q(x).
Given that the number of tickets sold Q(x) is given by the linear function Q(x) = -40x + 640, the revenue R can be calculated as:
R(x) = x * Q(x)
Substitute the expression for Q(x) into the revenue equation:
R(x) = x * (-40x + 640)
Now, we'll expand the expression:
R(x) = -40x² + 640x
Thus, the quadratic function R that correctly represents the revenue model is given by R(x) = -40x² + 640x.
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Which of the following expressions is not equal to X^3?
A. X^5 . X^-4 .X^2
B. X^-2 .X^9 .x^-4
C.x^0 . x^10 . x^-7
D. x. x^7 . x^-4
Answer:
D. x. x^7 . x^-4
Step-by-step explanation:
A. X^5 . X^-4 .X^2=X^(5-4+2)= X^3
B. X^-2 .X^9 .x^-4=X^(-2+9-4)= X^3
C.x^0 . x^10 . x^-7=X^(0+10-7)= X^3
D. x. x^7 . x^-4=X^(1+7-4)= X^4
A. X=1
B. X=2
C. X=3
D. X=4
E. X=5
F. X=6
Answer:
1.) 5
2.) 6
3.) 2
4.) 2
5.) 2
6.) 5
Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?
4 mph
7 mph
10 mph
12 mph
Answer:it’s 4 mph
Step-by-step explanation:
Answer: 4mph
Step-by-step explanation:
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