Answer:
(3n-2)(n-2)
Step-by-step explanation:
There are 55 black balls and 88 red balls in an urn. If 44 balls are drawn without replacement, what is the probability that no more than 11 black ball is drawn
Answer:
[tex]Probability = \frac{70}{143}[/tex]
Step-by-step explanation:
Given
[tex]Black = 5[/tex]
[tex]Red = 8[/tex]
[tex]Total = 13[/tex]
To solve the required probability, we need to determine the number of available selections:
There are two possible scenarios;
1: All 4 selections are red.
2. 1 selection is black, while 3 others are red
Scenario 1: All Red
[tex]^8C_4 = \frac{8!}{(8-4)!4!}[/tex]
[tex]^8C_4 = \frac{8!}{4!4!}[/tex]
[tex]^8C_4 = \frac{8*7*6*5*4!}{4!4!}[/tex]
[tex]^8C_4 = \frac{8*7*6*5}{4!}[/tex]
[tex]^8C_4 = \frac{8*7*6*5}{4*3*2*1}[/tex]
[tex]^8C_4 = \frac{1680}{24}[/tex]
[tex]^8C_4 = 70[/tex]
Scenario 2: 1 Black, 3 Red
Selecting Black:
[tex]^5C_1 = \frac{5!}{(5-1)!1!}[/tex]
[tex]^5C_1 = \frac{5!}{4!1!}[/tex]
[tex]^5C_1 = \frac{5*4!}{4!*1}[/tex]
[tex]^5C_1 = 5[/tex]
Selecting Red:
[tex]^8C_3 = \frac{8!}{(8-3)!3!}[/tex]
[tex]^8C_3 = \frac{8!}{5!3!}[/tex]
[tex]^8C_3 = \frac{8*7*6*5!}{5!3*2*1}[/tex]
[tex]^8C_3 = \frac{8*7*6}{6}[/tex]
[tex]^8C_3 = 8*7[/tex]
[tex]^8C_3 = 56[/tex]
Number of Selection = 5 * 56
[tex]Selection = 280[/tex]
Total Available Selection is calculated as thus:
[tex]Available\ Selection = 70 + 280[/tex]
[tex]Available\ Selection= 350[/tex]
Next, is to calculate the number of possible selections:
i.e 4 balls out of 13
This is calculated as:
[tex]^{13}C_4 = \frac{13!}{(13-4)!4!}[/tex]
[tex]^{13}C_4 = \frac{13!}{9!4!}[/tex]
[tex]^{13}C_4 = \frac{13 * 12 * 11 * 10 * 9!}{9!4*3*2*1}[/tex]
[tex]^{13}C_4 = \frac{13 * 12 * 11 * 10}{4*3*2*1}[/tex]
[tex]^{13}C_4 = \frac{17160}{24}[/tex]
[tex]^{13}C_4 = 715[/tex]
[tex]Probability = \frac{Available\ Selection}{Possible\ Selection}[/tex]
[tex]Probability = \frac{350}{715}[/tex]
[tex]Probability = \frac{70}{143}[/tex]
Hats, T-shirts, and jackets are sold at a rock concert. 3 hats, 2 shirts, and one jacket costs $140. Two hats, two shirts, and 2 jackets cost $170. One hat, 3 shirts, and 2 jackets cost $180. Create a system of 3 equations to model the situation. Assume the price of hats is x, shirts is y and jackets is z.
Step-by-step explanation:
3x + 2y + z = 140
2x + 2y + 2z = 170
x + 3y + 2z = 180
simplify
(x+4)−(x−1)
Answer:
5Step-by-step explanation:
[tex](x+4)−(x−1)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=x+4-\left(x-1\right)\\\\-\left(x-1\right):\quad -x+1\\=x+4-x+1\\\\\mathrm{Simplify}\:x+4-x+1:\\\quad 5\\\\[/tex]
Solve and graph 8(p+3)>2(4p-1)
Midnight Mocha is a 24-hour café that specializes in coffee drinks. It has a drive- through that is almost fully automated. Each mug of coffee is dispensed by the automated machinery and should provide exactly 12 ounces. Recently, customers have complained that the cups appear to have too much or too little coffee. Midnight Mocha began a quality control program. Every day for 9 days they sampled 9 cups of coffee. They computed the average amount of coffee for the 9 cups and the range of values. Those values are listed below. 1 2 3 4 5 6 7 8 9 Mean 11.9 12.2 12.0 12.1 11.7 11.9 12.1 12.1 12.0 Range 0.19 0.24 0.18 0.19 0.19 0.18 0.07 0.09 0.07 Use formulas with table values to determine control limits. What would be the upper control limit (UCL) and lower control limit (LCL) for the means? (2 decimals) UCL 12.05 LCL 11.99 What would be the upper control limit (UCL) and lower control limit (LCL) for the range values? (2 decimals) UCL How many of the observations for the means are out of control? (maintain 2 decimals in comparisons) How many of the nine observations for the ranges are out of control? LCL =
Answer:
hi
Step-by-step explanation:
20. A rectangle has a length of x + 2 meters and a width of 2x - 5. (A.APR.1)
A. Write an expression for the perimeter of the rectangle. Simplify your final answer.
B. Write an expression for the area of the rectangle. Simplify your final answer.
x + 2
2x - 5
A. Perimeter =
B. Area =
C. If x is 5, what is the perimeter? What is the area?
Rubric
2 pts - Two key elements are present
1 pt - One key element is present
O pts - No key elements are present
Answer:
A:
2(x + 2) + 2(2x - 5) =
2x + 4 + 4x - 10 =
6x - 6
perimeter = 6x - 6
B:
(x+2)(2x - 5) expand the brackets:
2x² - 5x + 4x - 10
area = 2x² - x - 10
C:
area = 6x - 6 = (6 x 5) - 6 = 30 - 6 = 24
perimeter = 2x² - x - 10 = (2 x 5²) - 5 - 10 = (2 x 25) - 5 - 10 = 50 - 5 - 10 = 35
brainliest please? x
Write an explicit rule to represent the sequence:
20, 24, 28, 32, 36,...
Answer:
add 4
Step-by-step explanation:
4 + 3 (3 × 2)² - 1
how do I set up the account?
Answer:
4+(9*6)^2-1
Step-by-step explanation:
The scale on a map js 1cm : 6.6 km the distance between two cities on the map is 18cm what is the actual distance between the two cities
Answer:
118.8 kmStep-by-step explanation:
Given
The scale 1 cm : 6.6 kmTo find
18 cmSolution
1 cm ⇔ 6.6 km1*18 cm ⇔ 6.6*18 km 18 cm ⇔ 118.8 kmPercentages
Your favorite store is having a sale. You run across a shirt that originally sold for $47, but
is on a -40% Off" rack. A pair of jeans that originally
sold for $60 is advertised for "30%
Off". Your eye is attracted to a pair of designer shoes on sale for $35. You decide to
purchase the shirt, jeans, and shoes.
1) What is the sale price of the shirt?
What is the sale price of
the jeans?
2) What is the subtotal of the shirt, jeans, and the shoes?
3) You discover a coupon for 25% off the purchase price and give it to the cashier. With
the 25% off coupon what is the pre-tax cost of your purchase?
4) If the sales tax on your purchase is 5%, what is the total amount you are charged?
5) Your credit card has a monthly interest rate of 2% and a minimum payment of $10. You
make the minimum payment every month. Fill in the chart below until you pay off your
purchase.
Payment
Balance
$10.00
New Balance
Interest
Remaining
Balance
Month
1
2
3
4
5
6
7
8
9
10
Answer:
1) Shirt = $28.20 Jeans = $42
2) subtotal = $105.20
3) with the discount from the coupon, the pre-tax cost is $83.90
4) about $ 88.10 (actual answer was $88.095)
5) i have no clue bro, im sorry
Step-by-step explanation:
The sale price of the shirt is [tex]\$28.20[/tex] The sale price of the jeans [tex]\$42.00[/tex] Subtotal is [tex]\$[/tex]105.20 Pre-tax cost [tex]\$78.90[/tex] The total amount charged with 5% sales tax is [tex]\$42.00[/tex]
The sale price of the shirt:
Given -The original price of the shirt is $47, and it is on a "40% Off" sale. To find the sale price, we can calculate [tex]40\% of \$47[/tex]and subtract it from the original price:
The sale price of the shirt = [tex]\$47 - (40\% \times\$47)[/tex]
The sale price of the shirt =[tex]\$47 - (\$18.80)[/tex]
The sale price of the shirt =[tex]\$28.20[/tex]
The sale price of the jeans:
Given =The original price of the jeans is $60, and it is advertised as "30% Off." Similar to the shirt, we can calculate the sale price of the jeans:
The sale price of the jeans =[tex]\$60 - (30\% \times\$60)[/tex]
The sale price of the jeans =[tex]\$60 - (\$18.00)[/tex]
The sale price of the jeans = [tex]\$42.00[/tex]
Subtotal of the shirt, jeans, and shoes:
Subtotal = Sale price of the shirt + Sale price of the jeans + Sale price of the shoes
Subtotal = [tex]\$[/tex]28.20 + [tex]\$[/tex]42.00 +[tex]\$[/tex]35.00
Subtotal =[tex]\$[/tex]105.20
The pre-tax cost of your purchase with the[tex]25\%[/tex] off coupon:
The 25% off coupon is applied to the subtotal. We calculate 25% of the subtotal and subtract it from the subtotal to find the pre-tax cost:
Pre-tax cost = Subtotal -[tex](25\% \times Subtotal)[/tex]
Pre-tax cost = [tex]\$105.20 - (25\% \times \$105.20)\\[/tex]
Pre-tax cost =[tex]\$105.20 - (\$26.30)[/tex]
Pre-tax cost = [tex]\$78.90[/tex]
The total amount charged with 5% sales tax:
To calculate the total amount charged, we need to add the sales tax to the pre-tax cost:
Sales tax = [tex]5\% \times Pre-tax cost[/tex]
The Total amount charged = Pre-tax cost + Sales tax
The Total amount charged =[tex]\$78.90 + (5\% \times \$78.90)[/tex]
The total amount charged = [tex]\$78.90 + \$3.94[/tex]
The total amount charged =[tex]\$82.84[/tex]
The credit card payments for months are;
Payment | Balance | New Balance | Interest | Remaining Balance
Month 1 | $10.00 | $72.84 | $1.46 | $71.46
Month 2 | $10.00 | $61.46 | $1.23 | $60.69
Month 3 | $10.00 | $50.69 | $1.01 | $49.70
Month 4 | $10.00 | $39.70 | $0.79 | $38.49
Month 5 | $10.00 | $28.49 | $0.57 | $27.06
Month 6 | $10.00 | $17.06 | $0.34 | $16.40
Month 7 | $10.00 | $6.40 | $0.13 | $6.53
Month 8 | $6.53 | $0.00 | $0.00 | $0.00
The remaining balance is paid off in full by the 8th month, and the interest is calculated based on the remaining balance each month.
Learn more about sales tax here :
https://brainly.com/question/29442509
#SPJ2
If leah has 22 boxes she gives 12 boxes to her mom how many boxes does leah have left
Subtract the amount she gives her mom from the total amount she has:
22 - 12 = 10
She has 10 boxes left.
Find the slope containing the two points (2,-1) and (4,-4)
Answer:
-5/2
Step-by-step explanation:
You have to take y2-y1 and divide it by x2-x1
PLZ HELPPPPP WILL GIVE BRAINLIEST AND NO WRONG ANSWER PLZ
Answer:
D
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
D. because it has a proper domain and range and no other answer has correct domain/range. Therefore, D is the answer.
SOLVE FOR D
S=D/T
THANK YOU
Olivia buys 4 masks that each cost the same amount
and a scarecrow, all for $176.75. If the scarecrow
costs $56.75, find out the cost of each mask cost.
The larger of two numbers is one more than four times the smaller number . If the sum of the numbers is 61, find the numbers.
Step-by-step explanation:
Let the smaller number be x.
So, according to Question,
the larger number will be 1+4x.
Now, sum of the numbers is 61, like this:-
[tex]1 + 4x + x = 61[/tex]
[tex]5x = 61 - 1[/tex]
[tex]5x = 60[/tex]
[tex]\tt{x = \dfrac{60}{5}}[/tex]
[tex]\boxed{\tt{x = 12}}[/tex] is the required Answer.
Hope it helps :)
8. Find the value of x.
42.3
56.4
a. 108
b. 16.5675
C. 108.6
d. 7
Answer:
i'm answer is letter b 16. 5675
A rotation maps point A(5, 4) to A’(–4, 5).
Which describes the rotation?
180° clockwise rotation
180° counterclockwise rotation
90° counterclockwise rotation
90° clockwise rotation
Answer:
90° counterclockwise rotation
Step-by-step explanation:
I just took the quiz and got it correct,
Hope this helps.
Answer:
answer above is correct
Step-by-step explanation:
Lines k and l are parallel. When lines k and l are cut by the transversals below, an isosceles triangle is formed. Lines k and l are parallel. Lines s and t intersect lines k and l to form a triangle. At the intersection of lines s, t, and k, clockwise from top left, the angles are blank, blank, blank, 70 degrees, 1, blank. At the intersection of lines s and l, the angles are blank, x degrees, blank, blank. At the intersection of lines l and t, the angles are x degrees, blank, blank, blank. What is Measure of angle 1? 35 degrees 40 degrees 55 degrees 70 degrees
Answer:
its 48
Step-by-step explanation:
Answer:
it's 40
Step-by-step explenation
dont need one the people have brains
The keyboard on a particular computer has a rectangular shape where the length is 332 mm and the width is 141 mm. Find the perimeter of the rectangle defined by this keyboard.
Answer:
946 mm
Step-by-step explanation:
(332*2)+(141*2)
What is the area of the triangle below?
Answer:The area of the triangle is given by the formula mentioned below: Area of a Triangle = A = ½ (b × h) square units where b and h are the base and height of the triangle, respectively. Now, let’s see how to calculate the area of a triangle using the given formula.
Step-by-step explanation:
HELPPP I GIVE BRAINLIEST FOR THIS ANSWER PLSSS
Answer:
Yes
Step-by-step explanation:
The lines in question have no degree angle to them. Don't let the line in the middle confuse you!
Hope this helps!
I need help with number 8
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The square roots are approximately ...
√5 ≈ 2.23
√17 ≈ 4.12
√56 ≈ 7.48
√88 ≈ 9.38
√118 ≈ 10.86
These are plotted below.
What is the value of 6(82)? Use place value and the distributive property. 6(82) = 6(80 + 2) = ? 432 482 492 552
Answer:
492
Step-by-step explanation:
6x82
Answer:
the answer is 492 the person above me is correct!!
Step-by-step explanation:
What percent of all children like the Simpsons? Round your answer to the nearest tenth of a percent. Type a numerical answer.
Answer:
0.3
Step-by-step explanation:
You know the total amount of children like simpsons are 90, and the total can be calculated by adding the 100+110+90 to get the total amount of children in all groups. You then can divide 90 by 300 to get the percent.
Hope this helps!
I think that chart is a bit overdue or inaccurate xd
Find the missing factor.
80 X
640.000
This Question !!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=800
Step-by-step explanation:
2000=all sides
two sides are 200 &200 =400
the other two are 2000-400=1600
1600/2=800 each
A survey of 73 students found that 37% were in favor of raising tuition to pave new parking lots. The standard deviation of the sample proportion is 9.8%. How large a sample (to the nearest person) would be required to reduce this standard deviation to 4.7%?
Answer:
The value is [tex]n_2 = 317[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 73
The proportion that in favor of raising the tuition is [tex]\^{p} = 0.37[/tex]
The standard deviation is [tex]s_1 = 0.098[/tex]
The required standard deviation [tex]s_2 = 0.047[/tex]
Generally the requires standard deviation is mathematically represented as
[tex]s_2 = s_1 * \sqrt{\frac{n_1}{n_2} }[/tex]
=> [tex]\frac{s_2}{s_1} = \sqrt{\frac{n_1}{n_2} }[/tex]
=> [tex]\frac{n_1}{n_2} =[\frac{s_2}{s_1} ]^2[/tex]
=> [tex]\frac{73}{n_2} =[\frac{0.047}{0.098} ]^2[/tex]
=> [tex]\frac{73}{n_2} =0.2300[/tex]
=> [tex]n_2 = \frac{73}{0.2300}[/tex]
=> [tex]n_2 = 317[/tex]
What is the distance between 2 and 3 on the number line? Write the integer only. *
Answer:
1
Step-by-step explanation:
The distance between any two numbers on the number line is their difference:
3 - 2 = 1
_____
Any two consecutive integers have a distance between them of 1 on the number line.
Which expression is equivalent to 2(3x-8)?
Answer:
6x-16
Step-by-step explanation:
2(3x-8)
distribute the 2
2 x 3x = 6x
2 x -8 = -16