Answers
Hope this helps :)
Related Questions
People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below:
Pink Lemonade: 156 males, 72 females
Yellow Lemonade: 104 males, 48 females
Answers
Answer
Step-by-step explanation:
You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.
Pink Lemonade Yellow Lemonade TOTAL
Male 156 104 260
Female 72 48 120
TOTAL 228 152 380
P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6
P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6
Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6
Independents events are events that can happen independently on their own. Events A and B are independent if P(A|B) = P(A).
The "prefer pink" event and "female" event are independent because [tex]P(P|F) = P(P) = 0.6[/tex]
To do this, we make the following representations:
[tex]P \to[/tex] Pink Lemonade
[tex]Y \to[/tex] Yellow Lemonade
[tex]M \to[/tex] Male
[tex]F \to[/tex] Female
The "prefer pink" event and "female" event are independent if:
[tex]P(P|F) = P(P)[/tex]
[tex]P(P|F) \to[/tex] the probability that a selected person prefers pink provided that the person is female
[tex]P(P) \to[/tex] the probability that a selected person is female
P(P| F) is calculated as:
[tex]P(P| F) = \frac{n(P\ n\ F)}{n(F)}[/tex]
i.e. the number of females who prefers pink divided by the number of females
From the table, we have:
[tex]n(P\ n\ F) = 72[/tex]
[tex]n(F) = 72 + 48 =120[/tex]
So, the probability is:
[tex]P(P| F) = \frac{72}{120}[/tex]
[tex]P(P| F) = 0.6[/tex]
[tex]P(P)[/tex] is calculated as:
[tex]P(P) = \frac{n(P)}{Total}[/tex]
i.e. the all people who prefer pink divided by total number of people
From the table, we have:
[tex]n(P) = 156 + 72 = 228[/tex]
[tex]Total = 156 + 72 + 104 + 48 = 380[/tex]
So, the probability is:
[tex]P(P) = \frac{228}{380}[/tex]
[tex]P(P) = 0.6[/tex]
Recall that:
The "prefer pink" event and "female" event are independent if:
[tex]P(P|F) = P(P)[/tex]
And we have:
[tex]P(P| F) = 0.6[/tex]
[tex]P(P) = 0.6[/tex]
Hence, the events are independent because:
[tex]P(P|F) = P(P) = 0.6[/tex]
Option (a) is correct
Read more about independent events at:
https://brainly.com/question/12543071
WHOEVER ANSWERS IT WILL GET BRAINIST ASAP DUE IN 5 MINUTES
Answers
Answer:
D
Step-by-step explanation:
2 3 4 5 6 7 8 9 10
TIME REMAINING
41:13
The Bears have won 7 and tied 2 of their last 13 games. They have not forfeited any games. Which ratio correctly compares their wins to losses?
7:13
13:7
4:7
7:4
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What's the pattern 7,19,31,43
Answers
It’s 7, 19, 31, 43
Explanation:
You already have it.
7+12=19
19+12=31
31+12=43
1.25 × 109 + 3.50 × 109 + 3.25 × 109 =
Answers
Answer:
872 is the final answer
Step-by-step explanation:
Answer: The answer is 872
Step-by-step explanation:
PLEASE HELP IT IS EASY!!!!!!!!!!!!!! I HAVE AN EXAM!!!!!!!!!!!!!!! A student took 75 minutes to answer a combination of 30 multiple-choice and extended-response questions. She took 2 minutes to answer each multiple-choice question and 5 minutes to answer each extended-response question.
Determine which two equations best represent the situation given that R represents the number of extended-response questions and M represents the number of multiple-choice questions.
Determine the number for each type of question on the test.
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Answer:
M+R=30
2M+5R=75
R=5
M=25
Step-by-step explanation:
-2(M+R=30)
2M+5R=75
-2M-2R=-60
2M+5R=75
__________
3R=15
R=5
2M+5(5)=75
2M+25=75
2M=50
M=25
(10 points) only answer section b plz
Answers
PLEASE HELP ILL GIVE THE BRAINLEST FOR THE RIGHT ANSWER
graph y= -1/2-6
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If a = 3, what is the value of 2a^2
Answers
Answer:
18
Step-by-step explanation:
2(3)^2
2(9)
18
Answer:
The answer is 18.
Step-by-step explanation:
2a²
2(3)²
2(9)
18
A salesperson at a jewelry store earns 8% commission each week. Last week, Heidi sold $530 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?
Answers
Answer:
she made $42.40
the store made $487.60
Step-by-step explanation:
530 x .08
Leon is using an area model to multiply 38×14. First, he makes a rectangle that is 38 units long and 14 units tall. Then, he breaks it into smaller parts using place value to make it easier to multiply. Use the drop-down menus to show the area of each part.
Answers
Answer:
300, 120, 80 and 32 respectively.
Step-by-step explanation:
To break it down for easy multiplication, write
38 as 30 + 8
14 as 10 + 4
Now let's multiply
(30 + 8)(10 + 4) = 300 + 120 + 80 + 32
So the areas of each part would be
300, 120, 80 and 32 respectively.
3. a) The dimensions of your game cover are 20 cm x 15 cm. However, you need to have a strip of
constant width around the border for labeling purposes (game console type, etc). This width will
take up 32% of your game cover's total space. What is the width of the border? Make sure to
state any values that don't make sense.
Answers
20cm×15 cm =300
32
/100 = 0.32
9514 1404 393
Answer:
1.5 cm
Step-by-step explanation:
All areas are in cm^2. For a width w, the border will have an area equal to the product of its centerline length and its width:
border area = 2((20-w) +(15-w))·w = w(70 -4w)
This area is 32% of the total cover area, so is ...
0.32(20)(15) = 96
Equating these expressions for the area gives ...
96 = 70w -4w^2
w^2 -17.5w = -24 . . . . . divide by -4
w^2 -17.5w +8.75^2 = -24 +8.75^2 . . . . . complete the square
(w -8.75)^2 = 52.5625 . . . . simplify
w -8.75 = ±√52.5625 = ±7.25
A border width only makes sense if it is between 0 and 7.5 cm, so the appropriate value for w is ...
w = 8.75 ± 7.25 . . . . . . . . . add 8.75
w = 8.75 -7.25 = 1.50 . . . . . the solution w=16 makes no sense
The border width is 1.5 cm.
ASAP ASAP ASAP ASAP. PLS PLSPLS
Answers
Solve the inequality − 3 x + 6 > 15
Answers
Answer:
The Answer to your question is x<-7 Hope This could Help
Step-by-step explanation:
Answer:
x<−3
Step-by-step explanation:
Let's solve your inequality step-by-step.
−3x+6>15
Step 1: Subtract 6 from both sides.
−3x+6−6>15−6
−3x>9
Step 2: Divide both sides by -3.
−3x/−3>9/−3
pls mark as brainliest
Question
Solve the equation. Enter the answer in radical form, and then use a calculator to approximate the
solution to two decimal places, if necessary. Use a graphing calculator to graph the related function to
check your answer.
5x2 - 16 = 29
The solutions are x =
and x-
Answers
Answer:
solving the equation [tex]5x^2 - 16 = 29[/tex] we get the solution: [tex]\mathbf{x=3,x=-3}[/tex]
Step-by-step explanation:
We need to solve the equation [tex]5x^2 - 16 = 29[/tex]
We need to solve the equation to find the value of x.
We can solve this equation using simple DMAS rule.
We are given:
[tex]5x^2 - 16 = 29[/tex]
Add 16 on both sides
[tex]5x^2 - 16+16 = 29+16\\5x^2=45[/tex]
Now, divide both sides by 5
[tex]\frac{5x^2}{5}=\frac{45}{5} \\x^2=9[/tex]
Now, we know that [tex]\sqrt{x^2}=\pm x[/tex]
Taking square root on both sides.
[tex]\sqrt{x^2}=\sqrt{9}\\x=\pm3[/tex]
So, we get values of x:
[tex]x=3, x=-3[/tex]
Therefore, solving the equation [tex]5x^2 - 16 = 29[/tex] we get the solution: [tex]\mathbf{x=3,x=-3}[/tex]
plz helppp
Analyze the diagram below and complete the instructions that follow. Find the value of x and the value of y
A. x=15, y= 10 √3
B. x=20, y= 10 √3
C. x=20 √3, y= 5 √3
D. x=15, y= 5 √3
Answers
Answer:
Use the SOH CAH TOA
Step-by-step explanation:
Angle = 60°
x = opposite o
y = adjacent a
10√ 3 = hypotenuse h
To find x we use SOH {sineø = o/h}
Sin 60° = x/10√ 3
x=10√ 3 * sin 60
X=15
You can use Pythagoras theorem or CAH{cosø = a/h}
Cos 60°= y/10√ 3
y=Cos 60° * 10√ 3
y=5√ 3
Evaluate the following numerical expression.
6 + 2^3 • 3 =
Answers
Answer:
30
Step-by-step explanation:
2^3=8
8x3=24
24+6=30
Tim bought a washing machine for a total of $651 with tax included. What was the price of the washing machine before tax if Tim lives in an area with an 8.5% sales tax rate?
Answers
Answer:
The washing machine cost $600 before tax
Step-by-step explanation:
Percentages
The washing machine cost $651 including a tax of 8.5%.
If x was the cost of the washing machine before tax, then the tax was:
x*8.5/100 = 0.085x
It was added to the original price:
x + 0.085x = 1.085x
That is the final price, thus
1.085x=$651
Solving:
x = $651/1.085
x = $600
The washing machine cost $600 before tax
7.
After determining the number of T-shirts and caps to purchase, the senior
class officers forgot to include shipping costs. The fabric textile company
charges shipping and handling fees according to the number of T-shirts and
caps purchased
One of the class officers writes the function f(n) = 20n + 275, where n is the
number of T-shirts purchased, and f(n) is the amount of money available to
spend on caps.
Which description does 20 represent in the class officer's function? Select all
that apply.
A. the shipping cost
B. the cost per T-shirt
C. the rate of change in the graph
D. x-intercept
Ey-intercept
Answers
Answer:
B
Step-by-step explanation:
Answer and ill mark brainlist!!
Answers
Answer:
the slope is 1
Step-by-step explanation:
Full equation is y=x+4
what is "The temperature outside at 6 a.m. is 4 degrees celsius. The temperature rising by 1.5 degrees celsius every hour." in a mathematical equation!! please help
Answers
Answer:
7 a.m is 5.5
Step-by-step explanation:
(6=4)+1.5=(_+1.5)
make a T chart
thats how it should work for you
-5x + 4y = 3
x = 2y - 15
solve for x and y
I'm failing please send help
Answers
Answer:
Let's solve for x.
−5x + 4y = 3
Step 1: Add -4y to both sides.
−5x + 4y+ −4y =3+ −4y
−5x = −4y +3
Step 2: Divide both sides by -5.
-5x divided by 5 = -4y+3 divided by -5
x=4/5y + −3/5
Step-by-step explanation:
Factor 72x−18xy
Find the Factor of 72x-18xy
Answers
Answer:
4x and (1-y)
Step-by-step explanation:
4x(1-y)
this is my answer
The factors of the expression are 18x and 4-y
Given the expression 72x - 18xy
Find the factor of each term:
72x = 18 * 4 * x
18xy = 18 * x * y
Since 18x is common to both terms, hence the factored form is expressed as:
72x - 18xy = 18x (4 - y)
The factors of the expression are 18x and 4-y
Learn more on factors here: https://brainly.com/question/24539261
What's the value of x? 4 (x - 6) + 6 = 6x - 6
Answers
Answer:
x=-6
Step-by-step explanation:
Answer:
I got X = -6 hope I'm right
Say the fraction in decimal form. 1/10
Answers
Answer:
0.1
Step-by-step explanation:
Please mark me brainleist
PLS HELPPPPP
This is due today....
Answers
Answer:
its B becuase the exspresion of it is the hours of the 16 like 8 16 like that
Step-by-step explanation:
259 Students go on a field trip. There are 19 vehicles, some vans and some buses.
7 students can fit in a van, and 25 students can fit in a bus.
how many buses were there?
how many vans were there?
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Explanation:
12 vans, 7 Buses
7 x 25 = 175
12 x 7 = 84
175 + 84 = 259
60% of 89 is what number?
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Answer:
53.4
Step-by-step explanation:
A local coffee house donates 2 pounds of
gourmet coffee beans to be sold at a local
fundraiser. The people running the fundraiser
decide to package and sell the coffee beans
in pound packages. How many pound
packages can they make
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Answer:
They can make 2
Step-by-step explanation:
The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2
more of my math lesson plz help guyssss
