Answer:
Step-by-step explanation:
[tex]\text{From the given information:}[/tex]
[tex](a)[/tex]
[tex]\text{ P(ball of each color)=P(1st ball is black \& 2nd (red)) + P(1st(red) \& 2nd(black)})[/tex]
[tex]\text{ P(ball of each color)} = {P(1st (black) \times P(2nd \ red \ | \ 1st black) }+P(1st \ red) \times P(2nd \ black \ | \ 1st \ red)}[/tex]
[tex]\text{ P(ball of each color)} = \Big(\dfrac{10}{20}\Big ) \times \Big(\dfrac{10}{19}\Big ) + \Big(\dfrac{10}{20}\Big ) \times \Big(\dfrac{10}{20}\Big )[/tex]
[tex]\text{ P(ball of each color)} = \Big(\dfrac{10}{19}\Big )[/tex]
[tex](b)[/tex]
[tex]\text{If the combination of total no. of black \& red balls with no =10*10 =100}[/tex]
[tex]Then;[/tex]
[tex]\text{the no. of ways red is less than no. of black = 9}[/tex]
[tex]Thus:[/tex]
[tex]\text{P(ball of each color and number on red ball is 1 less than number of black ball is :)}[/tex][tex]= \text{P(ball of each color) * P(red is 1 less than black [] ball of each color)}[/tex]
[tex]=\Big( \dfrac{10}{19}\times \dfrac{9}{100} \Big )[/tex]
[tex]= \dfrac{9}{190}[/tex]
Are 6(n + 3) - 4 and 6n + 14 equivalent expressions?
Answer:
yes
Step-by-step explanation:
because if you multiply 6 and n it is 6n and 6 x 3 are 18 but subtract 4 and it is correct
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 84.584.5; this version has a mean of 66.966.9 and a standard deviation of 1111. Kiersten got a score of 281.8281.8; this version has a mean of 261261 and a standard deviation of 2626. Pierce got a score of 7.697.69; this version has a mean of 7.27.2 and a standard deviation of 0.70.7. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
Tobias should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
The applicant with the highest z-score should be chosen.
Tobias:
Score of 84.5, in a version with mean 66.9 and standard deviation 11. His z-score is found when [tex]X = 84.5, \mu = 66.9, \sigma = 11[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{84.5 - 66.9}{11}[/tex]
[tex]Z = 1.6[/tex]
Kiersten:
Score of 281.8, in a version with mean 261 and standard deviation 26. His z-score is found when [tex]X = 281.8, \mu = 261, \sigma = 26[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{281.8 - 261}{26}[/tex]
[tex]Z = 0.8[/tex]
Pierce:
Score of 7.69, version with mean 7.2 and standard deviation 0.7. His z-score is found when [tex]X = 7.69, \mu = 7.2, \sigma = 0.7[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.69 - 7.2}{0.7}[/tex]
[tex]Z = 0.7[/tex]
Due to the higher z-score, Tobias should be offered the job.
Tally marks are always
recorded in bunches of
(4 5 1 2)
Answer:
what is the ?
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Which data set would be numerical?
A.favorite color
B.height of trees
C.place of birth
D.hair color
Answer:
b height of trees
Step-by-step explanation:
Find the value of each variable in the circle to the right. The dot represents the center of the circle.
Answer:
b = 90 degrees
a= 68.5 degrees
angle a = 1/2(137)
a = 68.5
determine whether ABCD is a parallelogram The vertices are A(-2,3) , B(3,2), C(2,-1) and D(-3,0)
Answer:
Yes, this is a parallelogram
Step-by-step explanation:
Justin picks 35 cherries, and fills 5 baskets evenly.
How many cherries are in each basket?
Answer:
7 cherries
Step-by-step explanation:
35/5= 7
Simple Math
A satellite weighs 150 pounds on Earth. Using
the table above, how much more does this
satellite weigh on Saturn than on Mars?
Please I Need Help I can't Figure It out
Need help on this one thank u
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex]a + 0.5b - 4 a - b \\ - 3a - \frac{1}{2} b[/tex]
Calculate B for the figure below
7 mi
4 mi
O 6.28 mi
O 28 mi
25.12 mi
O 12.56 mi
PLEASEEEE HELPPPP
Answer:6.28 mi 2
Step-by-step explanation:
School sucks ikr
Composite figures. I need help with this.
Explain your answer !!
Have a nice day
Will give braisnlt
Answer:
Equations:
[tex]4H + 3P = 13.75[/tex]
[tex]2H + 5P = 11.25[/tex]
[tex]H = 2.50[/tex] --- Hot dog
[tex]P = 1.25[/tex] --- Pretzel
Step-by-step explanation:
Represent hot dogs with H and Pretzels with P.
For Tina:
[tex]4H + 3P = 13.75[/tex]
For Doug:
[tex]2H + 5P = 11.25[/tex]
Solving for the price of both items:
We have:
[tex]4H + 3P = 13.75[/tex] --- (1)
[tex]2H + 5P = 11.25[/tex] --- (2)
Multiply (2) by 2
2 * ([tex]2H + 5P = 11.25[/tex])
-------------------
[tex]4H + 10P = 22.50[/tex] --- (3)
Subtract (3) from (1)
[tex]4H + 3P = 13.75[/tex]
[tex]4H + 10P = 22.50[/tex]
----------------------
[tex]4H - 4H + 3P - 10P = 13.75 - 22.50[/tex]
[tex]3P - 10P = 13.75 - 22.50[/tex]
[tex]-7P = -8.75[/tex]
Solve for P
[tex]P = \frac{-8.75}{-7}[/tex]
[tex]P = 1.25[/tex]
Substitute 1.25 for P in (2)
[tex]2H + 5P = 11.25[/tex]
[tex]2H + 5 * 1.25 = 11.25[/tex]
[tex]2H + 6.25 = 11.25[/tex]
Collect Like Terms
[tex]2H = 11.25-6.25[/tex]
[tex]2H = 5[/tex]
Solve for H
[tex]H = \frac{5}{2}[/tex]
[tex]H = 2.50[/tex]
what is 30% of 70?
I am confused
Answer:
21
Step-by-step explanation:
Answer:
Its 21
Step-by-step explanation:
Given h(x) = -5x + 3, find h(5).
Answer:
h(5) = -22
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(x) = -5x + 3
h(5) is x = 5
Step 2: Evaluate
Substitute in x [Function]: h(5) = -5(5) + 3Multiply: h(5) = -25 + 3Add: h(5) = -22Sam traveled 56 miles in 8 hours. If he traveled at the same rate on the next day,how far can he go the next day,how far could he go in 14 hours.
Answer:
Step-by-step explanation:
56 miles/(8 hours) = 7 miles/hour
14 hours × 7 miles/hour = 98 miles
Shipra's haircut cost $14. She left a 25% tip.
What was the total cost of the haircut with tip?
Enter your answer in the box.
The height of a weather balloon as it is launched can be represented by an exponential model in the form y = a* b^x where y is the height in km after x minutes. After 2 minutes, the recorded height is 3 km, and after 3 minutes, it is 9 km. Which of the following represents another point on the graph of this exponential model?
Group of answer choices
(1,-3)
(1, 1)
(4, 15)
(4, 16)
Answer:
Step-by-step explanation:
4,15
The point (4, 3) is on the graph of this exponential model.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can use the given information to form two equations with two unknowns (a and b) and solve for them.
From the first data point (2, 3 km):
y = a b^x
3 = a b^2
From the second data point (3, 9 km):
y = a b^x
9 = a b^3
Dividing the second equation by the first equation:
9/3 = (a b³) / (a b²)
3 = b
Substituting b = 3 into the first equation:
3 = a x 3²
a = 1/9
So the exponential model is y = (1/9) x 3^x.
To find another point on the graph of this exponential model, we can choose a value for x and calculate y.
Let's try x = 4:
y = (1/9) x 3^4
y = 1 x 3/3 x 3/3 x 3/3 x 3/9
y = 3
Therefore,
The point (4, 3) is on the graph of this exponential model.
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The price of a carton of eggs at Supermarket A is $2.10. The price of a carton of eggs at Supermarket B is 40% less than the price at Supermarket A. What is the price of a carton of eggs at Supermarket B ?
PLEASE ANSWER!
Answer:
84 Percentage increase
Step-by-step explanation:
Detailed calculations & verification
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
40% = 40/100 = 40 ÷ 100 = 0.4.
100% = 100/100 = 100 ÷ 100 = 1.
Increase the number by 40% of its value.
Percentage increase = 40% × 210
New value = 210 + Percentage increase
Calculate the New Value
New value =
210 + Percentage increase =
210 + (40% × 210) =
210 + 40% × 210 =
(1 + 40%) × 210 =
(100% + 40%) × 210 =
140% × 210 =
140 ÷ 100 × 210 =
140 × 210 ÷ 100 =
29,400 ÷ 100 =
294
Calculate absolute change (actual difference)
Absolute change (actual difference) =
New value - 210 =
294 - 210 =
84
Find the area of the composite figure. First, find the area of the triangle. 3 cm Triangle Area = [?] cm2 6 cm Rectangle Area = [] cm2 9 cm Total Area of Composite Figure = [ ] cm2 Enter
Answer:
The area of the triangle is 9 and the area of the regtangle is 54 so when you add them you will get 63 i hope it will help!
What is the mean of the following data set?
82, 100, 92, 66, 72, 96, 70, 88.
Answer:
83.25
Step-by-step explanation:
add all the numbers and divide by 8. 666/8 = 83.25
Answer:
83.25
Step-by-step explanation:
Mean = sum of all terms / number of terms
82+100+92+66+72+96+70+88 = 666
666 / 8 = 83.25
What is 3 + 3? Please
Answer:
the answer is 6
Step-by-step explanation:
Answer:
3+3=6
Step-by-step explanation:
just put 3 lines and 3 more lines then count all them together and it equals 6
hope i help have a great day and can i pls have Brainliest
The seventh-grade class is putting on a variety show to raise money. It costs $150 to rent the auditorium that they are going to use. If they charge $5 per ticket, how many tickets do they need to see in order to raise at least $750?
Answer:
180 tickets
Step-by-step explanation:
750 + 150 = 900 they will have to make
900/5 = 180 tickets
To raise at least $750, the seventh-grade class needs to sell a minimum of 180 tickets, priced at $5 each, to cover the fundraising goal and the $150 auditorium rental cost.
Given that,
Seventh-grade class is putting on a variety show to raise money.
The auditorium rental cost is $150.
Each ticket is priced at $5.
The goal is to raise at least $750.
Denote the number of tickets they need to sell as "x".
The revenue generated from ticket sales can be calculated by multiplying the number of tickets sold (x) by the ticket price ($5),
Which gives us 5x dollars.
Now since,
Total revenue from ticket sales - Auditorium rental cost ≥ Fundraising goal
Therefore,
5x - 150 ≥ 750
Add 150 to both sides:
5x ≥ 900
Divide both sides by 5 to solve for x:
x ≥ 180
Since the seventh-grade class cannot sell a fractional number of tickets,
Hence,
They need to sell at least 180 tickets to raise at least $750 and cover the auditorium rental cost.
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y = 2x + 4 and y = 3x
+ 2
I need help with algebra 20 points
Answer:
4s
Step-by-step explanation:
s is the original number of stickers, and since she wants four times as many stickers, you just multiply by 4 so you get 4s
Whats the square root of 826 also looking for a minecraft girI needs to be 15 or older
Answer:
28.740,
Step-by-step explanation:
Answer:
28.7 and plus dont use people for internet gaming sidechicks its just wrong go find someone that can actually be there for you
Step-by-step explanation:
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold $750 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?
the answer for your question is...
tbh I have no clue i just want 5 points.
Answer: A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold $750 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?
Step-by-step explanation: sorry I want five points now
Mario needs 18 ounces of cream cheese to make 3 cheesecakes. How many ounces of cream cheese does Mario need if he wants to make 10 cheesecakes?
Answer:
60 ounces
Step-by-step explanation:
18/3=6
6x10=60
Answer:
60 ounces
Step-by-step explanation:
18 ÷ 3 = 6 6 x 10 = 60First you need to find how many ounces are in one cheesecake. 18 ÷ 3 = 6. Then, you multiply 6 by 10, which is 60.
XYZ Corporation recorded the number of employee absences each week over a period of 10 weeks. The result is the data list 5, 3, 4, 1, 4, 7, 2, 6, 3, 5. Find the standard deviation of the number of absences each week.
Answer:
4 ansences
Step-by-step explanation:
40 / 4 is 10 so ans is 10 absences
How many x-intercepts would the function shown below have?
F(x) =x^2 (x^2+9) (x^2-3) (5x+1) ^2
Step-by-step explanation:
step 1. x intercepts are where y = 0
step 2. y = 0 when factors are equal to zero
step 3. the x intercepts are 0, sqr(3), -sqrt(3), -1/5
step 4. answer: 4.