If the lines QS and TV are parallel cut by a transversal line, we can deduce that the angles mSRU = mQRP because they are vertical angles. This means that they are opposite to each other and formed by two intersecting lines, hence, they are congruent.
In conclusion:
mSRU = mQRP = 56°
The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $4. There is 1 winning ticket out of the 280 tickets sold. The winner gets a prize worth $62. Round your answers to the nearest cent.
What is the expected value (to you) of one raffle ticket? $
Calculate the expected value (to you) if you purchase 12 raffle tickets. $
What is the expected value (to the PTO) of one raffle ticket? $
If the PTO sells all 280 raffle tickets, how much money can they expect to raise for the classroom supplies? $
The expected values of the raffle ticket for you are given as follows:
One ticket: -$3.76.12 tickets: -$45.12.For the PTO, the expected values are given as follows:
One ticket: $3.76.12 tickets: $45.12.What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
For you, the distribution is given as follows:
P(X = 62) = 1/280.P(X = -4) = 279/280.Hence the expected value for one ticket is given as follows:
E(X) = 62/280 - 4 x 279/280
E(X) = -$3.76.
For twelve tickets, the expected value is given as follows:
12 x -3.76 = -$45.12.
For the PTO, we use the inverse signals, as the distribution is the inverse, that is:
P(X = -62) = 1/280.P(X = 4) = 279/280.More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440
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Of the following fractions3/7, 5/8, 7/13, and 11/19 Which is the largest
Answer:
5/8
Step-by-step explanation:
5/8=0.6.25
0.625> all the other numbers
Stephany can type 36 pages in 9 hours. At this rate, how many pages will Stephany type per hour?
The pages that Stephanie can type per hour will be 4 pages per hour.
How many pages will Stephany type per hour?A Rate demonstrates how many times one number can fit into another number. It contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
Since Stephany can type 36 pages in 9 hours, the pages will that she can type per hour will be:
= Number of pages / Number of hours
= 36 / 9
= 4 pages
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Write an equivalent expression to x-3y+2
Answer:
x-6y+4
Step-by-step explanation:
Question 15 of 60
Choose the symbol that correctly compares the fractions below.
8 8
-?-
10 10
OA. None of these are correct.
OB. <
C. >
OD. =
SUBMIT
Answer:
D
Step-by-step explanation:
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Help a brother out (The numbers are options btw)
Answer:
3 is incorrect
Step-by-step explanation:
ab is too long so if it were multiplied twice itd be no where near ac
Simplify the expression please show all work only equations - 1/4 - 1/5
Answer:
Simplifying the expression gives;
\(-\frac{9}{20}\)Explanation:
Given the fraction;
\(-\frac{1}{4}-\frac{1}{5}\)Simplifying, the Lowest common multiple of the denominators 4 and 5 is;
\(4\times5=20\)So, we have;
\(\begin{gathered} -\frac{1}{4}-\frac{1}{5} \\ \frac{-5-4}{20}=-\frac{9}{20} \end{gathered}\)Therefore, simplifying the expression gives;
\(-\frac{9}{20}\)I need step by step help on how to work out this percentage question
Answer:
$15.7, $141.3Step-by-step explanation:
Discount
157*0.1 = $15.7Sale price
157 - 15.7 = $141.3At the potluck, there were 6 pecan pies, 7 lemon pies, 13 cherry pies, and 8 apple pies. Determine the ratio of apple pies to the total number of pies.
212.809 rounded to nearest hundreth
Answer:
I think is 213 or 212.8
Step-by-step explanation:
Because 9 round to 10
810 rounds to 800
and if is nesesary 212.800 rounds to 213.
But I'm sure is 212.8, you choose.
Can you please help me solve this questions. I want a clear explanation thank you.
Given:
\(\begin{gathered} \text{Mean}=\mu=21.4 \\ \text{Standard deviation=}\sigma=5.0 \\ \text{Smple size=n=66} \end{gathered}\)The z-score for 90 percent is 1.64.
To find the 90 percent confidence interval,
\(\begin{gathered} \mu+(\frac{\sigma}{\sqrt[]{n}}\times1.64)=21.4+(\frac{5}{\sqrt[]{66}}\times1.64) \\ =21.4+1.0094 \\ =22.4094\ldots\ldots(\text{ upper limit)} \\ \text{And} \\ \mu-(\frac{\sigma}{\sqrt[]{n}}\times1.64)=21.4-(\frac{5}{\sqrt[]{66}}\times1.64) \\ =21.4-1.0094 \\ =20.3906\ldots\ldots\ldots(\text{lower limit)} \end{gathered}\)Answer: The 90 % confidence interval is ( 20.3906 , 22.4094 )
A baby has its first doctor's visit when it is 5 months old and it weighs 19 pounds. The doctor tells the mother to expect the baby to gain 2 pounds each month. Find an equation in the form y = m x + b that models the baby's weight, where x is the age of the baby in months and y is its weight in pounds.
A formula in which the baby's weight is represented by the equation y = m x + b, where x is the baby's age in months and y is its weight in pounds is: y = 2x + 19.
Define about the slope-intercept form?A method of formulating a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form. The point where the line crosses its y-axis is known as the y-intercept, and the slope refers to how steep the line is.
For the given question:
baby's weight is give by equation: y = m x + b.
In which, x = age of the baby in months.
y = its weight in pounds.
When, x = 5, y = 19
2 pounds each month; m = 2
Find y-intercept .
19 = 2*5 + c
c = 19 - 10
c = 9
formula for baby's weight: y = 2x + 9.
Thus, a formula in which the baby's weight is represented by the equation y = m x + b, where x is the baby's age in months and y is its weight in pounds is: y = 2x + 19.
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What is the range of g?
y
--
.
9
7.
6+
5+
4+
3+
2+
1+
.
3
{4}}
-7 -6 -5 -4 -3 -2
+++
2 3 4 5 6 7
-2
-3
-4+
-5
-6+
7
7
Answer:
y 9 5 473648
Step-by-step explanation:
the table show how many points eduardo scored during each game use mental math to find how many points he scored
The total points scored by Eduardo in the first three games is 97.
We are given a table that shows the points scored by Eduardo during three games.
In game 1, he scored 52 points.
In game 2, he scored 19 points.
In game 3, he scored 26 points.
In game 4, he scored 10 points.
We need to find the sum of the total points scored by him in the first three games.
A summation, also known as a sum, is the outcome of adding numbers or quantities arithmetically. A summation always has an even number of terms.
The points are 52 + 19 + 26 = 97.
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It takes Liza 2/3 of an hour to walk from her home to her college at a rate of 6 km/h. How far apart are her home and the college?
Four times the sum of a number and 20 is at most -17
Answer:
4(20+b)≤-17
Step-by-step explanation:
I hope this helps!
seventeen and nine hundred five thousandths in decimal form
Answer:
17.905
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EX 1) Games Galore Super Store buys the latest video game at a wholesale price of $30.00. The markup rate at Game's Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax?
Answer:
$42
Step-by-step explanation:
Given that,
Galore Super Store buys the latest video game at a wholesale price of $30.00.
The markup rate at Game's Galore Super Store is 40%.
We need to find the price from the store. It can be calculated as follows :
\(C=30+\dfrac{40}{100}\times 30\\\\=30+12\\\\=\$42\)
Hence, we will pay $42.
PLEASE I NEED HELP
Use composition to prove that f(x) and g(x) are inverses. Check your work
F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.
How do you verify that f x and G x are inverses?If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.
Explanation:
Instance 1
Inverse functions of both functions can be found using the first method.
Example.
Inverse of f (x) = x + 7 is what we're looking for.
We attempt to determine x using the equation y = x + 7.
y = x + 7
Inferring that g (x) is the inverse of f (x) from the fact that x = y 7
Finding g (x inverse )'s is now necessary.
g( x ) = x − 7
y = x − 7
x = y + 7
As a result, we discovered that f (x) is the inverse function of g (x).
f and g are equal if g is inverse of f and vice versa.
The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.
Example:
f ( g ( x ) = [ x − 7 ] + 7
G ( x ) placed as x is the expression in brackets.
f ( g ( x ) ) = x − 7 + 7 = x
g (f ( x ) = [ x + 7 ] − 7
f ( x ) inserted as x is the expression in brackets.
g ( f ( x ) ) = x + 7 − 7 = x
The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.
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1.50m×150.m what is the answer need with solution
\(225m^{2}\).
Step-by-step explanation:1. Multiply the magnitude of each measure.\(1.50*150=225\)
2. Add the correct unit to the magnitude.
In this case we are multiplying meters two times, therefore, the answer will have square meters (\(m^{2}\)) as a unit.
3. Express your result.\(175m^{2}\).
√50, √8, whats the area of the triangle no picture
Answer:
Area = 10
Step-by-step explanation:
(\(\sqrt{50}\)×\(\sqrt{8}\)) ÷ 2 = 10
Determine the equation of the graph and select the correct answer below.
Answer: y = (x - 1)² - 3
Step-by-step explanation:
y = (1-1)²-3
y=0-3
y=-3
Please answer for me
Answer:
17
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
(33*2) +x^2 = 98
66+x^2 =98
x^2=32
x=16 ft
∠A ≅ ∠B, ∠C is a complement of ∠A. m∠C = 25°; m∠B =
Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.
If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.
Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.
Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:
∠B + ∠C = 90°.
Substituting the given value, we have:
∠B + 25° = 90°.
To isolate ∠B, we subtract 25° from both sides of the equation:
∠B = 90° - 25°.
Simplifying, we get:
∠B = 65°.
Therefore, the measure of ∠B is 65°.
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1,3,6,10,15,21,28 as a function
It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:
f(n) = n*(n+1)/2
Where n is the position of the number in the sequence.
So, for example:
f(1) = 1*(1+1)/2 = 1
f(2) = 2*(2+1)/2 = 3
f(3) = 3*(3+1)/2 = 6
and so on.
A basketball player attemps 15 baskets in a game he makes 9 attemped baskets. Witch ratio describe the nuber of basketsthe player made to th number of baskets the player attemped
Find the distance between each pair of parallel lines with the given equationsY = -3/2x + 4 and y = -3/2x - 1 (system)
Rewriting the equations we get
\(y=-\frac{3}{2}x+4\Rightarrow2y+3x=8,y=-\frac{3}{2}x-1\Rightarrow2y+3x-2\)We know that distance between two parallel lines of the form
\(ax+by=c_1,ax+by=c_2\)is
\(d=\frac{c_1-c_2}{\sqrt[]{a^2+b^2}}\)Here
\(a=3,b=2,c_1=8,c_2=-2\)Thus the distance d will be
\(d=\frac{8-(-2)}{\sqrt[]{9+4}}=\frac{10}{\sqrt[]{13}}\)the table shows the total cost of bowling any number games and renting bowling shoes. write a two step equation to represent the total cost of c for bowling g games.
Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.
Explain about the slope intercept form:The task is to create an equation that use the total expense (y) and the total number of bowled games (x). Hence, the way that we will begin is by entering the knowing into the formula of slope intercept form: y=mx+b.
The cost of a game is $4, while the cost of renting shoes is set and unknowable. Since each game costs $4, we already have. Hence, y=4x+b. Yet b is still unknown to us. The constant b in the equation y=mx+b usually refers to the fixed price in linear math equations.We are aware of the a y, overall game cost, and the x, overall game number. These figures are, respectively, $14 and 3.Thus, we include them in the formula: y=4x+b.
14 = 4(3)+b
Find b
14 = 12+b
14 - 12=b
b = 2
Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.
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Complete question:
The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of the game increases the price by $4. After 3 games, the total cost with shoe rental is $14.
a.write an equation to represent the total cost y to rent shoes and bowl x games.
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip