By definition of conditional probability,
P(A | B) = P(A and B) / P(B)
so
P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29
Which of the following grids does the
shaded portion represent 10% of the grid?
Answer:
C
Step-by-step explanation:
Since the area all of the grids are 100 (10X10), in order for the shaded portion to be 10% of that it would have to be 10 of the squares. (10% = 10/100) Therefore because the one with 10 squares shaded is C, the answer is C!
Answer:
meow meow ............
.......
mrs shalini asked her students to draw pictures of their home. 17/30 used color pencils and 11/30 used crayons for coloring. what fraction of the class used either color pencils or crayons?
Answer:
23/25 of the class used either color pencils or crayons
Step-by-step explanation:
56% used color pencils
36% used crayons
36% + 56% = 92%
turn 92% into a fraction = 92/100
simplify = 23/25
the capacity at the local pool is 225 people.
a. If there were 198 people at the pool, what is the percentage of capacity
b. if there were 180 people at the pool, what is the percentage of the capacity
a. 88%
b. 80%
Step-by-step explanation:
198/225=.88
180/225=.80
What equals 18 to the third power
Answer:
5832
Step-by-step explanation:
18 × 18 = 324
324 × 18 = 5832
help me with this please and if you can do a step by step it would help
Answer:
Angle 6x and Angle 5x + 10 are corresponding angle pair,
they are equal
6x = 5x + 106x - 5x = 10x = 10so each angle = 6 × 10 = 60°
If the distance from A (5,6) to B (1, b) is twice the distance from B to
C(1, -3), determine the possible values of b.
Answer:
The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Step-by-step explanation:
From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:
[tex]AB = 2\cdot BC[/tex]
[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.
[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]
Then, we expand and simplify the expression above:
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]
If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:
[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]
[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]
[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]
This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:
[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]
In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
A bicycle is on sale at a 15% discount. The sale price is $680. What was the original price?
Answer:
$800 is the original price
Step-by-step explanation:
15% discount
if 85% = $680
100% =?
100/85 * $680
=$800
Answer:
800
Step-by-step explanation:
(7.3x105) + (3.7x105) science notation form please help me
a
1.10x10^11
b
11.0x10^5
c
1.1x10^10
d
1.1x10^6
9514 1404 393
Answer:
d. 1.1×10^6
Step-by-step explanation:
As with other kinds of sums, factoring out a common factor can make it easier.
(7.3×10^5) + (3.7×10^5) = (7.3 +3.7)×10^5 = 11.0×10^5
Please note this is the sum, and it matches answer choice B, but it is not "scientific notation." To put this back in scientific notation, we must move the decimal point 1 place to the left. That rewrite looks like ...
11.0×10^5 = (1.1×10^1)×10^5 = 1.1×(10^1×10^5) = 1.1×10^(1+5) = 1.1×10^6
11 feet
Find the area of the square.
A = ft2
Answer:
area of square = side²
area of square=(11 feet)²
area of square=121 feet²
How to get from 40 to 5 in two steps
Answer:
Step one: say "5"
Step two: say "40"
Done.
Max used 3 7/8 pounds of yellow potatoes and 2 5/8 pounds of sweet potatoes to make a potato salad. How many more pounds of yellow potatoes than sweet potatoes did Max use?
Step-by-step explanation:
[tex]\tt{}3 \frac{7}{8} - 2 \frac{5}{8} [/tex]
[tex]\tt{}(3 -2) + ( \frac{7}{8} - \frac{5}{8} )[/tex]
[tex]\tt{}1 + \frac{1}{4} [/tex]
[tex]\tt{}1 \frac{1}{4} [/tex]
[tex]\tt{} \frac{5}{4} [/tex]
[tex]\tt{}1.25[/tex]
Find arc mKL(only real answers)
Based on these results, what is the probability that Ms. Le
will choose a yellow or purple marble?
FOR BRAINLITS!!
Is 2,12 4,24 6,36 8,48 10,60 proportional
Answer:
Yes
Step-by-step explanation:
12 divided by 2 = 6, 24 divided by 4 = 6, 36 divded by 6 = 6, 48 divded by 8 = 6, 60 divided by 10 = 6.
All answers have 6 so yes it is proportional.
An online store sells flower arrangements for birthdays and other special events. In a review of their production costs, the
online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5
dollars.
Construct a confidence interval for the mean cost (in dollars) for one shipment of vases.
Answer: A confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)
Step-by-step explanation:
Confidence interval for mean: Mean ± Margin of error
Given: The online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5 dollars.
A confidence interval for the mean cost (in dollars) for one shipment of vases
[tex]=(54-5, 54+5)\\\\=(49,59)[/tex]
Hence, a confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)
A friend tells you about a recent study dealing with the number of years of teaching experience among current college professors. He remembers the mean but can't recall whether the standard deviation was 6 months, 6 years or 16 years. Which was it?
Answer:
6 years
Step-by-step explanation:
Witch is larger? 1/3 or 3/9
Answer:
they are equal
Step-by-step explanation:
1/3 to a decimal is 0.333
3/9 is 0.333
so they are the same the person above me is wrong
recipe calls for 1/3 of a cup of milk for 10 cookies how many cups of milk are needed to make 90 cookies
Answer:
just multiply by 9 :)
Step-by-step explanation:
nabiha wants to decorate her home for an upcoming party she bought a roll of ribbon from "dollarama" which is 3.2 m long
(a) how many 15 cm of ribbon can be cut from a 3.2m long ribbon
(b) how long is the remaining peice
Answer:
A = 21
B = 5
Step-by-step explanation:
1 meter = 100 centimeters
This means that she has 320cm of ribbon. Now you need to divide 320 by 15
320/15 = 21.3333333333
So to check your work you could multiply 15 by 21
15 x 21 = 315
This answer is less than 320 so you now know that Nabiha can cut 21 pieces of ribbon that are 15cm long. You also know that the remaining piece is 320 - 315 = 5.
Please award me brainiest! Hope this helps!
PLEASE HELP THANK YOU !!!!!!!
Answer:
Pretty sure c is your correct answer :)
Step-by-step explanation:
I hope this helps :)
What is the median of 2,1,2,5,3
Answer:
2
Step-by-step explanation:
Rearrange the data set in numerical order: 1, 2, 2, 3, 5 and take the number in the middle.
(Valley Forge Income Tax Advice) VF is a small accounting firm supporting wealthy individuals in their preparation of annual income tax statements. Every December, VF sends out a short survey to their customers, asking for the information required for preparing the tax statements. Based on 24 years of experience, VF categorizes their cases into the following groups:
Group I (new customers, easy): 15 percent of cases
Group 2 (new customers, complex): 5 percent of cases
Group 3 (repeat customers, easy): 50 percent of cases
Group 4 (repeat customers, complex): 30 percent of cases
Here, "easy" versus "complex" refers to the complexity of the customer's earning situation.
[In order to prepare the income tax statement, VF needs to complete the following set of activities. Activity times (and even which activities need to be carried out) depend on which group a tax statement falls into. All of the following activity times are expressed in minutes per income tax statement.
Group Filling Initial meeting Preparation Review by Writing
senior accounting
1 20 30 120 20 50
2 40 90 300 60 80
3 20 no meeting 80 5 30
4 40 no meeting 200 30 60
The activities are carried out by the following three persons:
Administrative support person: fi ling and writing.
Senior accountant (who is also the owner): initial meeting, review by senior accountant.
Junior accountant: preparation
Assume that all three persons work eight hours per day and 20 days a month. For the following questions, assume the product mix as described above. Assume that there are 50 income tax statements arriving each month.
a. Which of the three persons is the bottleneck?
b. What is the ( implied) utilization of the senior accountant? The junior accountant? The administrative support person?
c. You have been asked to analyze which of the four product groups is the most profitable. Which factors would influence the answer to this?
d. How would the process capacity of VF change if a new word processing system would reduce the time to write the income tax statements by 50 percent?
The solution is, c3 = 24 cases, and, c4 = 96 cases.
What is percentage?A percentage can be stated as a number or ratio that can be expressed as a fraction of 100. A percentage usually represented as a number or ratio expressed as a fraction of 100. It is usually denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number which has no unit of measurement.
here, we have,
given that,
Total time in a week = 40 hours = 2400 minutes
Total time Administrator is utilized = 50 * 20 = 1000 minutes
Total time Senior accountant is utilized= 20% * 50 * 40 = 400 minutes
Total time Junior accountant is utilized = 40%*50*15 = 600 minutes
For Total cases, Total capacity
= Total time / Bottlenck time (Administrator)
= 2400 / 20
= 120 cases
C-3) Capacity of new customers at 20:80 ratio = 20% * 120 = 24 cases
C-4) Capacity of repeat customers at 20:80 ratio = 20%*120 = 96 cases
c-1 = Flow rate
= min ( demand, capacity) for new customers
= 10 new cases / week (20%*50)
c-2 = Flow rate
= 40%*50
= 40 cases / week
c3 = 24 cases
c4 = 96 cases
Hence, The solution is, c3 = 24 cases, and, c4 = 96 cases.
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Brainliest. Please aced and expert help me out here.
Answer:
The following statements are true.
A rhombus is a parallelogram with equal sides. In a parallelogram, opposite sides are equal. The area of a rhombus is found using the formula A = b × h. b and h represents the base and height of the rhombus respectively. The area is found the same way for both a rhombus and a parallelogram. The formula, area = base × height can be used for both rhombus and parallelogram.Step-by-step explanation:
I'm not an ace nor a genius but here are the correct answers
The width of a rectangle is 7t-4.5 feet and the length is 4.5t+9 feet. Find the perimeter of the
rectangle
Answer:
P=2L+2w
P=2(4.5t+9)+2(7t-4.5)
P=9t+18+14t-9
P=23t+9 feet
csc\theta -cot\theta =\frac{sin}{1+cos\theta }
Answer:
Step-by-step explanation:
Left Hand Side
Change to sin(theta) and cos(theta)
csc(theta) = 1/sin(theta)
cot(theta) = cos(theta)/sin(theta)
1/sin(theta) - cos(theta)/sin(theta) Put over Sin(theta) Common denominator
[1 - cos(theta)] / sin(theta) Multiply numerator and denominator by 1 + cos(theta)
(1 - cos(theta)(1 + cos(theta) ) / sin(thata)*(1 + cos(theta))
(1 + cos(theta)(1 - cos(theta)) = 1 - cos^2(theta)
sin^2(theta) / (sin(theta)* ( 1 + cos(theta)
sin(theta) / (1 + cos(theta) )
Right hand Side.
See Above.
Pls help me complete this
Answer: 1/10, 3/20, 1/4, 1/5, 3/10
Step-by-step explanation: So first, you need to find the total number of times Leon spins the spinner, which is 20. You get 20 by counting the total number of x's there are.
Then you need to find the number of times each number got landed on. In order, it would be 2/20, 3/20, 5/20, 4/20, and 6/20.
Next, you have to simplify them. 2/20 simplified is 1/10, then 3/20 can't be simplified, so leave it like that, 5/20 would be 1/4, 4/20 would be 1/5, and finally, 6/20 would be 3/10.
A car rental company is interested in the amount of time its vehicles are out of operation for repair work. A random sample of 21 cars showed that, over the past year, the numbers of days that each of these cars had been inoperative were as follows: 15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14 Assuming that the population is normally distributed, construct a 95% confidence interval for the mean number of days that vehicles in the company's fleet are out of operation.
Answer:
(10.891; 15.869)
Step-by-step explanation:
Given the data::
15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14
The confidence interval is obtained using the relation :
Mean ± margin of error
Margin of Error = Zcritical * s/sqrt(n)
Using a calculator, the mean value of the data and standard deviation above is :
Mean = Σx / n ; n = sample size
Mean, xbar = 281 / 21
Mean = 13.38
Standard deviation , s = sqrt[Σ(X - xbar)²/ n-1]
Standard deviation, s = 5.82
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 95% confidence level = 1.96
Margin of Error = 1.96 * 5.82/sqrt(21) = 2.489
Confidence interval :
Mean ± margin of error
13.38 ± 2.489
Lower boundary = (13.38 - 2.489) = 10.891
Upper boundary = (13.38 + 2.489) = 15.869
(10.891; 15.869)
9) The area of the given rectangle is 40 square feet. Find the length and the width of the rectangle.
Length: x+1
Width: X + 4
Answer:
Step-by-step explanation:
hello : solve (x+1)(x+4)=40
x²+5x+4 =40
x²+5x-36 =0 continu us delta
find the difference between 3/4 and 5/10
Answer:
The answer would be 1/4. I explained below if you don't get how you get the answer. Good luck!
Step-by-step explanation:
1. Find the LCM of 4 and 10
4, 8, 12, 16, 20
10, 20
The LCM of 4 and 10 is 20.
2. Divide 4 and 10 by 20.
20 ÷ 4 = 5
20 ÷ 10 = 2
3. Multiply the numbers by the answer you got in step 2.
3 x 5 = 15
5 x 2 = 10
4. Put it together.(example:number you got in step 3/20)
15/20
10/20
5. Subtract
15/20 - 10/20 = 5/20
You get the answer of 5/20 or 1/4. I would write 1/4 though.
A manufacturer of MP3 players surveyed one hundred retail stores in each of the firm's sales regions. An analyst noticed that in the South Atlantic region the average retial price was $165 (mean) and the standard deviation was $30. However, in the Mid-Atlantic region the mean price was $170, with a standard deviation of $15. What do these statistics tell us about these two sales regions
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
South Atlantic region :
Mean price = $165
Standard deviation = $30
Mid-Atlantic region :
Mean price = $170
Standard deviation = $15
Based on the mean price computed for the 100 retail stores in the study, we can conclude that the price of MP3 in the south Atlantic region is lesser than that of the mid Atlantic region ;
$165 < $170
However, we can conclude that the variation in the prices of MP3 varies greatly from one store to another in the south Atlantic region with a standard deviation of $30 while in the Mid Atlantic region, the prices are closer and less variable from one store to the other.