Answer:
PK=15
RJ=9
Step-by-step explanation:
PK and RJ are angle bisector because they also bisect their side lengths.
QK=2(PQ)=10
PK=5+10=15
QJ=2(QR)=6
RJ=6+3=9
RJ=9
All 30 pupils in a class took part in a sponsored spell to raise money for charity. The pupils were expected to get an average of 14 spellings cprescr each. The average amount of sponsorship was 20 pounds for each correct spelling. How much money would the class expect to raise for charity altogether? Give answer in pounds
Answer: £84
Step-by-step explanation:
The number of pupils in the class is 30, and the average number of correct spellings for each pupil is 14.
The total expected correct spellings is 30 x 14 = 420 spellings.
The average sponsorship for each correct spelling is 20p which = £0.20.
Therefore, the number of pounds the class is expected to raise for charity is 420 x 0.20 = £84.
Number of pounds the class is expected to raise for charity is 8400 pounds.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Number of pupils in the class = 30
Average number of correct spellings for each pupil = 14.
The total expected correct spellings is 30 x 14 = 420 spellings.
The average sponsorship for each correct spelling is 20 pounds
The number of pounds the class is expected to raise for charity is 420 x 20 = 8400 pounds
Thus, number of pounds the class is expected to raise for charity is 8400 pounds.
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A utility company might offer electrical rates based on time-of-day consumption to decrease the peak demand in a day. Enough customers need to accept the plan for it to be successful. Suppose that among 50 major customers, 15 would accept the plan. The utility selects 10 major customers randomly (without replacement) to contact and promote the plan. a. What is the probability that exactly two of the selected major customers accept the plan
Answer:
0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan
Step-by-step explanation:
The customers are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
50 major customers, 15 would accept the plan.
This means that [tex]N = 50, k = 15[/tex]
The utility selects 10 major customers randomly (without replacement) to contact and promote the plan.
This means that [tex]n = 10[/tex]
a. What is the probability that exactly two of the selected major customers accept the plan
This is P(X = 2).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,50,10,15) = \frac{C_{15,2}*C_{35,8}}{C_{50,10}} = 0.2406[/tex]
0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan
Need help with it today
Answer:
C
Step-by-step explanation:
s - 7 + 5
s - 2
what is the decimal equivalent of 8/12
Answer:
0.666 repetitive, or 0.67
Step-by-step explanation:
Find f(-4) for f(x)=x^4-7x^2-12
1 2/3 +(-2/5) as a fraction
A computer is on sale for 25% off. If the sale price is $449, what was the original price?
Answer:
discount=25%
selling price=$449
original price=?
Step-by-step explanation:
we have
original price=selling price + discount% of original price
original price-discount% of original price=$449
original price (1-25/100)=$449
original price=$449/0.75=$598.66
Evaluate -2x+6y when x= -3 y=-1
Answer:
0
Step-by-step explanation:
Substitute x for -3 and y for -1:
= -2(-3) + 6(-1)
= 6 + -6 (or 6 - 6)
= 0
help!!! Pleasee thank youuuu
Answer:
a
Step-by-step explanation:
it is the reflection or mirror image
If you were to solve the equation x+14=22, what steps would you take to solve this equation?
subtract 14 from 22 to isolate the variable
-7 1/3 divided by 4 1/4 in mixed number.
Answer:
1 37/51
Step-by-step explanation:
problem: which of the expression(s) below is greater than 5/2? Select all that apply
A) 2/5 ÷ 4/3
B) 4/3 ÷ 1/3
C) 5/3 ÷ 1/2
Answer:
C) 5/3 divided by 1/2
Step-by-step explanation:
5/2 = 2.5
A. 2/5 divided by 4/3 = 0.3
B. 4/3 divided by 1/3 = 1
C. 5/3 divided by 1/2 = 3.333
3.333 is bigger than 2.5
:)
Elena went 60 meters in 50 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed. Who went faster? Explain your reasoning.
How many terms are in the following expression:
2x3 + 3x2 + 2 - 1
A. 1
B. 4
C. 6
D. 11
Answer:4
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The numbers are the terms
6 numbers 6 terms
f(x)= 2/x-2 find (fof) (i)
Answer:
Step-by-step explanation:
cant see pic
Jack had 3 bottles of soda. Each bottle held 2 1/2 cups of soda. How many cups of soda did he have total?
Answer:
1 1/5 cups of soda.
Step-by-step explanation:
To solve this you need to change 3 and 2 1/2 into improper fractions so you get 6/2 and 5/2. Then you have to flip 5/2 so it becomes 2/5 and then you just have to cross cancel. Since the 2 from 2/5 can go into the 2 in 6/2 one time, 2/5 changes into 1/5 and 6/2 changes to 6/1. Now you can multiply across so 6 times 1 is 6 and 1 times 5 is 5 so you get 6/5. Now you have to change it into a mixed number which would be 1 1/5.
I hope this helps you :D
Factor
x2 + 10x + 25
Answer:
(x+5)(x+5)
Step-by-step explanation:
x²+10x+25
25
/ \
+5 and +5
(x+5)(x+5)
if you dont understand. I recommend this video https://youtu.be/yBCAv_NzzPQ
at 10:21
I need to find the missing side given the area
Answer:
4
Step-by-step explanation:
The formula to the area of a triangle is 1/2(base) * height. Since it is asking to find the height and you are given the base, you need to solve:
1/2(6) * x = 12
multiply: 3x = 12
divide: x = 4
Which of the following integers is a solution to the inequality below?
-3x - 7 ≤ -7x - 27
Select one:
a. -6
b. 1
c. -3
d. 4
An employee at a gift shop earns $72.00 for working 9 hours. At this hourly rate, what should the employee earn for a 40-hour work week?
Answer:
The employee would earn $320 for a 40-hour work week.
Step-by-step explanation:
Given
Total Earning amount = $72.00Total Time taken = 9 hoursTo determine
We have to find the employee's earning earn for a 40-hour work week.
First Step
Determining the hourly rate
In order to determine the hourly rate, the first step we need to do is to divide the earning amount by the total number of hours.
Hourly rate = Total Earning amount / Total Time taken
= $72.00 / 9 hours
= $8.00 per hour
Second Step
Determining the employee's earning earn for a 40-hour work week.
As we have already determined that employee is earning $8.00 per hour.
i.e.
Hourly rate = $8.00 per hourIn order to determine the employee's earning for a 40-hour work week, all we need is to multiply the hourly rate i.e. 8 with 40.
Thus,
Earning for 40-hour work week = Hourly rate × 40
= 8.00 × 40
= $320
Therefore, the employee would earn $320 for a 40-hour work week.
Match the labeled points on the graph to statements about their coordinates Two numbers with a sum of 2
Answer:
see explanation!
Step-by-step explanation:
Line N
A set of points where the coordinates of each point have a sum of 2Line M
A set of points where the y-coordinates of each point is 10 less than its x-coordinate
Any coordinate on N has a sum of 2.
Any coordinate on M has a y that is 10 less than the x.
The matching of the given labeled points provided on the graph regarding their statements would be as follows:
Line n - A set of points where the coordinates of each point have a sum of 2 Line m - A set of points where the y-coordinate of each point is 10 less than the x-coordinate.The points that line m represent would be:
Point E [tex](13, 3)[/tex]
Point B [tex](6, -4)[/tex]
Point D [tex](2, -8)[/tex]
The points signalled by line n are as follows:
Point A [tex](-2, 4)[/tex]
Point B [tex](6, -4)[/tex]
Point C [tex](12, -10)[/tex]
Now, if we solve for lines
Line m
[tex]x_{1} + y_{1} \\= 13 + 3\\= 16[/tex]
While for Line n
Point A
[tex](x_{1} + y_{1}) = (-2 + 4) \\= 2[/tex]
Point B
[tex]x_{2} + y_{2} = 6 + (-4) \\= 2[/tex]
Thus, the correct match would be as above.
Learn more about "Coordinates" here:
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Calculate the volume of the cylinder: 10 yd 7 yd
Round to nearest tenth
WILL MARK AS BRAINLIEST
Answer:
The answer is 384.85 yd to the power of 3
Step-by-step explanation:
πr2h
= π×3.52×10
= 122.5π
= 384.85
The volume of the given cylinder would be 384.65 cubic yards.
What is the volume of cylinder?The volume of cylinder is given by -
V = πR²h
Where -
R - Radius of the cylinder
h - height of the cylinder
Given is to calculate the volume of the cylinder with height 10 yd and diameter 7 yd.
For the given cylinder, we have -
Radius of the cylinder : 7/2 = 3.5 yd
Height of the cylinder : 10 yd
So, we can write the volume of the cylinder as -
V = πR²h
V = 3.14 x 3.5 x 3.5 x 10
V = 384.65 cubic yards
Therefore, the volume of the given cylinder would be 384.65 cubic yards.
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Which of the following graphs represents the solution to the following system
of inequalities?
3x + 4y <12
2x - y24
Answer:
I am pretty sure it is most likely answer D.
Step-by-step explanation:
Hope this helps! Have a great day and good luck!
What % of $10 = $2??????
Answer:
20% of 10= 2 is the answer
hope this helps!
It takes 80 oz of grass seed to seed 5600 ft? of lawn. At this rate, how much would be needed for 8400 ft of lawn?
Answer:
120 oz
Step-by-step explanation:
5600/80 = 70 rate
8400/ 70 = 120 oz
Find the equation of the function in the graph
A) y=x
B) y=|x|
C) y=x3
D) y=x2
Answer:
D
Step-by-step explanation:
it is a graph of [tex]x^{2}[/tex]
Answer:
D.) y=x2
Step-by-step explanation:
Look in pic above, on EDGE NUITY I always used to graph to find the answer
Maricela has a 32 ounce drink. She drink 8 ounces. What is the percent of ounces Maricela left from the drink
Answer:
The percent she has left in the drink is 75%
Step-by-step explanation:
1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.
The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Find the coordinates of the other endpoint, D.
Answer: Endpoint = (-4,6)
Step-by-step explanation:
To find any endpoint use the formula [tex]\frac{x_1+x_2}{2} = Xmp[/tex] [tex]\frac{y_1+y_2}{2} =Ymp[/tex]
[tex]\frac{6+x_2}{2} = 1[/tex] [tex]\frac{-2+y_2}{2} =2[/tex]
multiply each by 2 to simplify
[tex]\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2[/tex] [tex]\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4[/tex] take the equations and simplify
6+[tex]x_{2}[/tex] = 2 -2+[tex]y_{2}[/tex] = 4 =
-6 -6 +2 +2
[tex]x_{2}[/tex] = -4 [tex]y_{2}[/tex] = 6
To check use the Midpoint formula
[tex]\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)[/tex]
pls helpp mee!!!!! pleaseee
Answer:
it is 5 inches squared
Step-by-step explanation:
1 inches. sjwjqkqkwjhed
According to the graph, what is the experimental probability of selecting the letter C?
Number of occurrences of letters
16.7%
24%
16%
20%
Answer:
16%
Step-by-step explanation:
50 events and C shows 8
50/8 = 16%
Answer:
The Answer is 0.16 = 16%