a) In fractions the probability that a teenager selected at random is female and their favorite hobby is watching films is given as: 1/4, while
b) if the teenager from the question above rejoins the group and another teenager is picked at random, the probability that the teenager picked at random is male and their favorite hobby is playing video games is 1/6.
What is probability?Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
With regard to problem (a),
There is a total of 32 teenagers.
Of those, 8 are female with a favorite hobby of watching films.
Thus,
Related Probability = 8/32; divide both numerator and denominator by 8 to get;
= 1/4
With regard to problem (b), the probability that the teenager picked at random is male and their favorite hobby is playing video games is:
P = (14/32) x (2/14)
P = 2/32; thus
P = 1/16.
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Full Question:
A group of teenagers are asked about their favourite hobbies. The results are shown in the following table: Sports Playing video games Watching films Total
Male 9 2 3 14
Female 7 3 8 18
Total 16 5 11 32
Q6a. In fractions, what is the probability that a teenager selected at random is female and their favorite hobby is watching films? You can simplify this fraction if you wish.
Q6b. the teenager from the question above rejoins the group and another teenager is picked at random what is the probability that the teenager picked at random is male and their favourite hobby is playing video games? you can simplify this fraction if you wish
First down = 25 yards.
Ball moved 6 yards closer = 25 - 6 or 19 yards.
Then 10 yards away = 19 + 10 or 29 yards.
Then 8 yards closer = 29 - 8 or 21 yar
This is the question.
At the start of the first down, the football was 25 yards from the Captains' end zone. During three downs, the ball moved 6 yards closer to their end zone, then 10 yards farther from it, and then 8 yards closer to it. How many yards from their end. zone was the ball at the end of the third down?
please tell fast plzzzzzz
Answer:
45
Step-by-step explanation:
1/2×90
45
complement=
90-45
45
Carlos, Margaret, and James are playing a board game with a spinner. The spinner goes from 1 to 6. They
start by spinning to see who will go first. (Highest number will go first.)
1. First, Carlos spins a 3. How likely do you think it is that Margaret will get a higher number?
Probability that Margaret will get a higher number than Carlos is 3/2.
What is probability?Probability is the measure of the likelihood of an event to occur.
Formula of probabilityP(E) = number of favorable outcomes/ total number of outcomes
Where, P(E) is the probability of an event.
According to the question we have,
A spinner goes from 1 to 6.
⇒ sample space = {1, 2, 3, 4, 5, 6}
⇒ Total number of outcomes = 6
Also, Carlos spins 3.
So, the numbers which required to win the game by Margaret are 4, 5 ,6 (greater than 3).
⇒ Total number of favorable outcomes = 3
Therefore,
The probability that Margaret will get a higher number than Carlos = [tex]\frac{3}{2}[/tex]
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simplificati raportul algebric
Answer:
F euuehejuehehheeeuzkvr
Answer:
what is the number
Step-by-step explanation:
i dontvno the answer beacause it is blurred
NEED HELP ASAP (only need help on 8)
step by step preferably but any help will do
Answer:
∠W=110
∠X=110
∠Y=70
∠Z=70
Step-by-step explanation:
∠X+∠Y=180 (supplementary angles)
(13x-7)+(8x-2)=180
21x=189
x=9
∠X = 13x-7 = 13(9)-7 = 117-7 = 110
∠Y = 8x-2 = 8(9)-2 = 72-2 = 70
Since WX║ZY and WZ=XY, ∠Z=∠Y and ∠W=∠X
This figure consists of a rectangle and a quarter circle.
What is the perimeter of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
cm
Answer:
75.27
Step-by-step explanation:
Rectangle = 20+2+2+20-11=47
quarter circle = 1/4(2)(11)(3.14)=17.27 + 11 = 28.27
47+28.27=75.27
Answer:
75.27.cm
Step-by-step explanation:
it works i got a 100 on the test
-2 (x + 5) = 4 formula to find X
Answer:
-2x -10=4
-2×=4+10
-2×=14
×=14/-2
therefore,×= -7
Which equation represents the vertical line passing through (5,-4)?
x = -4
y = -4
x = 5
y = 5
pick one
Answer:
Y = -4
Step-by-step explanation:
Given:
Points (5, -4)
Computation:
We know that vertical line means Y axis
On Y axis x always zero
So,
Y = -4
The mid point of ST is M=(-2,3). One end point is S=(4,-2). Find the coordinates of the other endpoint. T
Answer:
S=(6,5)?......not sure tho
Can someone help me :)
Answer:
51
b+129=180
b+95+34=180
Step-by-step explanation:
hope this helped :)
A rectangular gate has a width of 3 feet and a length of 4 feet. What is the
length from the top left corner to the bottom right corner of the gate? *
7(4g) + 3(5h) +2(-3g) g=1/2, h=1/3
Answer:16
Step-by-step explanation:
6 Item 6 For a specific species of fish in a pond, a wildlife biologist wants to build a regression equation to predict the weight of a fish based on its length. The biologist collects a random sample of this species of fish and finds that the lengths vary from 0.75 to 1.35 inches. The biologist uses the data from the sample to create a single linear regression model. Would it be appropriate to use this model to predict the weight of a fish of this species that is 3 inches long
Answer:
Yes, because the regression equation is based on the random sample.
Step-by-step explanation:
A simple linear regression model that describes the relationship between X and Y takes the form
Yi= ∝ + βXi + εi or
Y i= U(y.x) + εi
where εi's are the random errors. The random errors εi's are assumed to be independent of Xi and normally distributed with E(εi)= 0 and Var (εi)= σ²(y.x) , a constant for all Xi. These assumptions imply that Yi also have a common variance σ²(y.x) , as the only random element in the is εi.
The estimated regression line Y= a+ bX is also the predictor of Yi= ∝ + βXi+ εi
. That is Y^ can also be used to predict an individual value Y0 of Yi rather than a mean value, corresponding to the given X0. To draw the inferences about Y0 we need to know it mean and variance.
Use a model to divide. 1/2÷7 . What is the answer 2/7 1/14 14 3 1/2?
Answer:
1/14 i think
Step-by-step explanation:
b. Solve for x in the
triangle:
74°
6x + 17
35
Step-by-step explanation:
74° + 35° + ( 6x + 17° ) = 180°6x + 17° = 180° - 74°- 35°6x + 17° = 180° - 109°6x + 17° = 71°6x = 71° - 17°6x = 54x = 54÷6x = 9MARK ME AS BRAINLIST PLZ FOLLOW METriangles
Given :-A diagram with angles 74°, 35° and ( 6x + 17 )°.
To Find :-Value of x.
Concept Used :-Sum of all angles in a triangle is 180°.
Solution :-Sum of all angles in a triangle = 180°
74° + 35° + 6x + 17° = 180°
6x + 74° + 35° + 17° = 180°
6x + 126° = 180°
6x = 180° - 126°
6x = 54°
x = 9
Answer :-So, value of x is 9.
se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m ¿cual es el area que se va a pintar?
Answer:
16.8 metros cuadrados.
Step-by-step explanation:
Dado que se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m, y que el área de un hexágono es igual al perímetro multiplicado por la apotema, y dicho resultado dividido por 2, para determinar cuál es el área que se va a pintar se debe realizar el siguiente calculo:
((6x3) x 2.8) / 2 = X
(12 x 2.8) / 2 = X
33.6 / 2 = X
16.8 = X
Así, el área que se va a pintar es de 16.8 m2.
How many gallons of 12% salt solution should a biologist add to 5 gallons of 15% salt solution to get a 14% solution?
WILL MARK BRAINLIEST IF ANSWERED WITHIN 15 MINUTES
Answer:
life
Step-by-step explanation:
hi
Write the product (x-7)^2 in standard form
Answer:
x^2-14x+49
formula:
a^2-2ab+b^2
if
(a-b)^2
substitute values and
Wham bam yes ma'm
What is 13x+14=???????
Answer:
x= -1.077
Step-by-step explanation:
(13x+14) -14=0(-14)
13x/(13)= -14/(13)
x= -1.077
reduce a)95/75 b) 250/750 to its simplest form
Answer:
a) 19/15 b) 1/3
Step-by-step explanation:
in both the question I reduced the numbers with 5
i wi mark you brainless and give point of this gets completed
Answer:
1. (x + 5)(x +10)
2. (x - 7)( x - 8)
3. (x - 4)( x - 7)
4. 2(7x−1)(x−9)
5. (2x+9)(x+6)
6. (x−1)(x−2)
7. (2x+3)(x+8)
8. (9x−2)(x−7)
9. 6(x−6)(x+7)
10. (9x+10)(x−4)
11. (3x+7)(x+3)
12. (x−9)(x−9)
13. 4(9x−10)(x−8)
14. 3(x+3)(x−9)
15. 2(x−1)(x+3)
16. 2(3x−1)(x+2)
17. 5(x−2)(x−2)
18. 2(x−1)(x−2)
Step-by-step explanation:
I'm so sorry it took this long that made my brain hurt it was worth it
Sorry it took so long..
hope I helped!!
BRAINLIEST AND STARS
4)
Suppose a circle has a diameter of 20 inches. What is its radius?
A)
400 in
B)
40 in
C)
20 in
D)
10 in
Answer:
D
Step-by-step explanation:
a
Solve. Add, subtract, multiply or divide.
Anosh collects feathers. His father started his collection by giving him 7
feathers. Since then he has collected 28 more feathers. How many feathers does
Anosh have?
Answer:
Anosh has 35 feathers.
Step-by-step explanation:
Initially, he had 0 feathers.
His father started his collection by giving him 7 feathers.
After his father gave him, he has 7 feathers.
Since then he has collected 28 more feathers. How many feathers does Anosh have?
So now, he has 7 + 28 = 35 feathers.
Anosh has 35 feathers.
Decide if the following is a true or false statement - explain how you know
(-3.2) + (-2.8) is positive
Answer:
false
Step-by-step explanation:
(-3.2) + (-2.8)
-3.2 - 2.8
= - 6
answer is negative so false
Find the cosine of <G
Answer:
cos G = 3/5
Step-by-step explanation:
cos = adjacent sides/ hypotenuse
cos G = FG/ GE
cos G = 3/5
Help me please please dont answer if you don’t know i will also give brainliest
Answer:
$100.75
Step-by-step explanation:
422.05 - 106.30 - 310.00 + 95.00 = 100.75
4) The overall project budget is $20,000. At Week 8, the actual cost is $9,000 and the CPI is
1.1. What is the earned value of the project at Week 8?
Answer:
the earned value of the project is $9,900
Step-by-step explanation:
The computation of the earned value of the project is shown below:
As we know that
CPI = Earned value ÷ Actual cost
1.1 = Earned value ÷ $9,000
So, the earned value is
= 1.1 × $9,000
= $9,900
hence, the earned value of the project is $9,900
[tex]( {a}^{3})( {a}^{2} ( {a}^{6) }
answer:(a¹¹)
Ce clasă ești sa văd daca te pot ajuta
Riya buys 9 square paving slabs, each with a side of 1m. She lays them in the form of square.
(a) What is the perimeter of her arrangement?
Answer:
Step-by-step explanation:
The slabs are arranged in a 3×3 matrix. Each side is 3 m long. The perimeter is 4×3 = 12 meters.
Which of the following is the expansion of
(2x + 3)^3?
I think the answer is 8×^3+36×^3+54×+27. If the answer is wrong then I'm sorry
Answer:
8x^3 + 36x^3 + 54x + 27
Step-by-step explanation:
If you're asking to expand the equation the answer is 8x^3 + 36x^3 + 54x + 27