I f the mean of 5 observation is 15 and four of them are 11, 12, 19, 20. what is the fifth number
Answer:
13
Step-by-step explanation:
11 * 12 * 19 * 20 * 13 = 75
75/5 = 15
Answer:
13
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
let x be the fifth number , then
[tex]\frac{11+12+19+20+x}{5}[/tex] = 15
[tex]\frac{62+x}{5}[/tex] = 15 ( multiply both sides by 5 to clear the fraction )
62 + x = 75 ( subtract 62 from both sides )
x = 13
7. Parallelogram CDEF with vertices C(-4,-4),
D(-2, 0), E(6, 1), and F(4, -3) in the line y = 2.
I need the coordinates after the reflection.
As per the given data, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).
What is Parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other, and the opposite angles are also equal.
To reflect the parallelogram CDEF across the line y=2, we need to reflect each vertex across the line.
The line y=2 acts as a mirror, so the distance of each point to the line will remain the same before and after reflection, but the sign of the y-coordinate will change.
The reflection of point (x, y) across the line y=2 can be found by the formula (x, 2 - (y-2)) or (x, 4 - y).
Using this formula, we can find the coordinates of the reflected parallelogram:
- The reflected image of point C(-4,-4) is (-4, 8).
- The reflected image of point D(-2, 0) is (-2, 4).
- The reflected image of point E(6, 1) is (6, 3).
- The reflected image of point F(4, -3) is (4, 7).
Therefore, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).
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how do i find the length of a=7.4 b=? c=3.6
Answer:
b=6.5
Step-by-step explanation:
a²+b²=c²
7.4²+b²=3.6²
b²=3.6²-7.4²
b²=12.96-54.76
b²= -41.8
√b²=√-41.8
b=6.465
b=6.5
Question
There are a total of 101 students in a drama club and a yearbook club. The drama club has 13 more students than the yearbook club. How many students are in the drama club? the yearbook club?
Answer:
students in the drama club: 57
students in the yearbook club: 44
Step-by-step explanation:
101 - 13 = 88
88 / 2 = 44
101 - 44 = 57
44 in the drama club and 57 in the yearbook club
2. Solve the following system of equations.
f(x) = 2x^2 – 5x– 7
g(x) = -4x^2+16
O (-1.2,17.88) and (-1.5, 17)
O (2.42,-7.4) and (-1.58, 5.9)
(-1.5, 17) and (3.7, 1788)
O (2.4,- 44) and (3.7, 17.88)
Answer:
Cited by 3 — —1.4 p F, ~ +~~• 3*,7 38 4.0 7 h m 0 16 44.20 17 25.10 —0.7 3326~7 ... O—1.2 —1.4 F ~ ,F~ ~ 7.8 38 26.6 m ~ .8 ~5 2~5 44;65 26 2.95 h -4
Step-by-step explanation:i know
Answer:
(2.42,-7.4) and (-1.58, 5.9)
Explanation:
f(x) = 2x² – 5x– 7g(x) = -4x² + 16Solve algebraically:
⇒ f(x) = g(x)
⇒ 2x² – 5x– 7 = -4x² + 16
⇒ 2x² - 5x - 7 + 4x² - 16 = 0
⇒ 6x² -5x -23 = 0
Now use the quadratic function: [tex]\boxed{ \sf x = \dfrac{-b\pm\sqrt{b^2 - 4ac} }{2a}}[/tex]Identify : a = 6, b = -5, c = -23
Solving Step Wise:[tex]\rightarrow \sf x = \dfrac{-(-5)\pm\sqrt{(-5)^2 - 4(6)(-2)} }{2(6)} \ = \ \dfrac{5\pm\sqrt{577} }{12} \ = \ 2.42, -1.58[/tex]
Solve for y : 2(2.42)² - 5(2.42) -7 and 2(-1.58)² - 5(-1.58) - 7 = -7.4, 5.9
Coordinates: (2.42,-7.4) and (-1.58, 5.9)
Match the mortgage types with their descriptions. it requires the buyer to make a 20% down payment. a large portion of principal is paid in a single payment at the end of the loan. it has the same interest rate for the life span of the loan. it requires a lower down payment and allows buyers to have a lower credit score. it initially has a fixed rate for three to five years and then adjusts at a predetermined time. it starts with a low interest rate and then adjusts throughout the duration of the loan.
The types of mortgages and their descriptions are:
Government insured - it requires the buyer to make a 20% down payment.Balloon mortgage - a large portion of principal is paid in a single payment at the end of the loan.Fixed rate - it has the same interest rate for the life span of the loan.Coventional - it requires a lower down payment and allows buyers to have a lower credit score.Hybrid - it initially has a fixed rate for three to five years and then adjusts at a predetermined time.Adjustable - it starts with a low interest rate and then adjusts throughout the duration of the loan.What are some types of mortages?There are various types of mortgages to take care of the people of different economic situations.
For instance, government insured mortgages help reduce mortgage rates but require a down payment of 20% of the mortgage and fixed rate mortgages allow for the same payment for the mortgage's life.
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2
Which of the following is a rational number?
(10 Points)
о 3л
O 6√8
O√3+3
O4√16
The following solid is a right pyramid with a square base. a) Calculate the length of AW b) Find the length of VW
Answer:
Step-by-step explanation:
Select the correct answer. In which of the scenarios can you reverse the dependent and independent variables while keeping the interpretation of the slope meaningful? A. As the number of cigarettes smoked in a day increases, the risk for lung cancer increases. B. As the age of an infant increases, the height of the infant increases. C. As the number of vehicles in a city increases, the amount of pollution in the city increases. D. As the concentration of salt in water increases, the density of water increases. E. As the number of calls made by a cell phone increases, the cell phone bill amount increases. Reset Next
Answer:
In Option A, we can see that the reverse may not be true as the increase in the risk for lung cancer may not necessarily mean an increase in cigarette smoked in a day. For example, high risk of lung cancer may be due to high exposure to asbestos dust too.
In Option B, again we can see that the reverse may not be true as an increase in the height of an infant does not necessarily mean that the age of the infant is increasing too. For example the infant may have a rapid gain in height even if the age is not increasing as rapidly.
In Option C, too, that an increase in the amount of pollution in a city does necessarily mean that the number of vehicles in the city has increased. For example, this increase in pollution may be due to the establishment of a high pollution causing industry in the city or in it's vicinity.
Likewise, in Option D, an increase in the density of water does not necessarily mean that the concentration of salt in the water has increased.
Only in Option E do we see a possible reverse dependence happening because an increase in the phone bill amount does usually mean an increase in the number of calls made by the cell phone.
So, in the given list of Options only in Option E can we reverse the dependent and independent variables while keeping the interpretation of the slope meaningful.
Step-by-step explanation:
5TH GRADE WORK HELP PLEASE I DON'T KNOW HOW TO DO THIS
Answer:
1 yard = 3 feet
We will need to multiply the yard lengths by 3 to convert the measurements to feet.
8 feet x 3 = 24 yards >>>> 8 ft = 24 yards
6 feet x 3 = 18 yards >>>> 6 ft = 18 yards
5 feet x 3 = 15 yards >>>> 5 ft = 15 yards
Then you would do Length x width x depth x 7.5 (Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the pool, expressed in gallons.)
So...
24 x 18 x 15 x 7.5 =
48, 600
I hope this helps and this helps and I hope this is the answer you needed.
What is the solution for x in the equation?
-2x+14+10x=34
Answer: The solution of x is 2.5
Step-by-step explanation: hope it helps:)
Answer: [tex]x=\frac{5}{2}[/tex]
Step-by-step explanation:
Simplify the expression:
[tex]-2x+14+10x=34[/tex]
[tex]\left(-2x+10x\right)+14=34[/tex]
[tex]8x+14=34[/tex]
Group all constants on the right side of the equation:
[tex]8x+14-14=34-14[/tex]
[tex]8x=34-14[/tex]
[tex]8x=20[/tex]
Isolate the x:
[tex]\frac{8x}{8}=\frac{20}{8}[/tex]
[tex]x=\frac{20}{8}[/tex]
[tex]x=\frac{5\cdot 4}{2\cdot 4}[/tex]
[tex]x=\frac{5}{2}[/tex]
The [tex]CORRECT[/tex]answer to this solution is: [tex]x=\frac{5}{2}[/tex]
[tex]calderonj4588~:)[/tex]
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the ohitcome of a single trial of a random experiment. Compute the probability of each of the following events. 00 Event A: The sum is greater than 9. Event B: The sum is not divisible by 6. Write your answers as fractions.
Answers:
P(A) = 1/6
P(B) = 5/6
=========================================================
Explanation:
Let's calculate P(A).
Refer to the dice chart below.
We have
3 copies of "10"2 copies of "11"1 copy of "12"There are 3+2+1 = 6 sums that are greater than 9.
This is out of 6*6 = 36 sums total
P(A) = 6/36 = (1*6)/(6*6) = 1/6
----------------------
Now to calculate P(B).
The multiples of 6 in the table are: 6, 12
There are 5 copies of "6"There is 1 copy of "12"There are 1+5 = 6 items that are a multiple of 6. This means we have 36-6 = 30 sums that aren't a multiple of 6
P(B) = 30/36 = (5*6)/(6*6) = 5/6
Side note: it's probably coincidence that P(A)+P(B) = 1 in this case.
Please explain it with EVERY step.
Use synthetic substitution to evaluate f(z) = 8z³ - 5z² +9z+9 when z = 5.
A function assigns the values. The value of f(z)=8z³-5z² +9z+9 will be 929.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of f(z)=8z³-5z² +9z+9, when the value of z is 5 will be,
f(z)=8z³-5z² +9z+9
f(5)=8(5)³-5(5)² +9(5)+9
f(5)= (8×125) - (5×25) + (9×5) + 9
f(5) = 1,000 - 125 + 45 + 9
f(5) = 929
Hence, the value of f(z)=8z³-5z² +9z+9 will be 929.
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Pls help asap
ivan made strawberry jam and raspberry jam. he made enough strawberry jam to fill 2/3 of a jar. if he made 4/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
write your answer as a fraction or as a whole or mixed number.
4/5 × 2/3
= (4×2)/(5×3)
=8/15
PLSSS HELP ASAP!
(Will give brainliest)
Answer:
Question 3: D, 90°
Question 2: D, 84°
Step-by-step explanation:
Answer:
2. d. 84°
3. d. 90°
Step-by-step explanation:
Q2
32 + 64 + x = 180x + 96 = 180x = 84°Q3
20 + 70 + x = 180x + 90 = 180x = 90°A country has 33 parks that allow camping and 101 parks that have
playgrounds. Of those, 16 parks both allow camping and have
playgrounds. The country has a total of 346 parks.
What is the probability of randomly selecting a park that allows
camping or has a playground? Write your answer as a fraction.
Answer:
134:346 Add the 33 to 101 to get first number, then total number of parks 346 is the second number, they may end up wanting you to to reduce the fraction.67:143
The top of a monument will be a rectangular pyramid. it will take 22 m3 of bronze to make the top that is 11 m tall. a rectangular pyramid with a base side of 2 meters. what is the missing dimension of the base of the pyramid? 1 m 2 m 3 m 4 m
The missing dimension of the base is 3 meters
How to determine the missing dimension of the base?The given parameters are:
Volume, V = 22Height, h = 11Base side, l = 2Let the missing dimension of the base be w.
So, we have:
V = lwh/3
This gives
22 = 2 * w * 11/3
Multiply both sides by 3
66 = 2 * w * 11
Divide both sides by 22
w = 3
Hence, the missing dimension of the base is 3 meters
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I want a answer to my question
Answer:
50, 25
Step-by-step explanation:
The general pattern expressed by the sequence 800, 400, 200, 100 seems to be the previous number divided by 2. Therefore the next two numbers in this number pattern are most likely 100 / 2 = 50 and 50 / 2 = 25.
Answer:
50 and 25
Step-by-step explanation:
x / 2 is the constant
next number
100/2 = 50
next number
50/2 = 25
Mary is inscribing a square in the circle shown, but she is having difficulty remembering the process.
Which summary describes the basic process for constructing a square inscribed in the circle?
A.
Create the perpendicular bisector of FO. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
B.
Set the compass width to the length of FO, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle, and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
C.
Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
D.
Set the compass width to the length of FG, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle, and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
Make the FG perpendicular bisector. Then draw the square using the perpendicular bisector's points of intersection with the circle, as well as points F and G is the correct procedure. Option C is correct.
What is the procedure for constructing a square inscribed in the circle?The procedure is as follows:
1. A circle's diameter is drawn.
2. Using the approach given in the perpendicular bisector of a segment, draw a perpendicular bisector of the diameter. This is also the circle's diameter.
3. The vertices of the inscribed square are the four points on the circle that result.
The summary describes the basic process for constructing a square inscribed in the circle is to create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
Hence,option C is correct.
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Answer: C
Step-by-step explanation:
C.
Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
Breanna purchased 8 oranges for $10.00. Jonathon purchased 6 oranges for $8.00. What was the unit rate for each purchase?
Answer:
Step-by-step explanation:
breanna's oranges were $1.25
jonathon's oranges were $1.33
Kellie bought 8 towels and spent $39.60.Each towel costs the same amount.
Part B
What is the price, in dollars, of 11 towel?
Answer: $54.45
Step-by-step explanation:
First, we will find the price of one towel.
-> We will divide the cost by the towels bought.
$39.60 / 8 = $4.95
Now, we can find the price of 11 towels.
-> We will multiply the cost of one towel by 11 to find the total cost.
$4.95 * 11 = $54.45
Answer:
$54.45
Step-by-step explanation:
Given:
Number of towels = 8
Money spent on towels = $39.60
To Find:
What is the price, in dollars, of 11 towel?
Solve:
Since, each towels cost the same amount then we can divide the cost by number of towels.
39.60/8 = 4.95
Thus, Each towel costs $4.95
Then we are trying to find the price in dollars of 11 towels.
Knowing that 1 towels cost $4.95 then 11 towels:
4.95 × 11 = $54.45
Kavinsky
I NEED THIS DONE ASAP
Answer:
you didnt put anything
Step-by-step explanation:
B
A
Solve for x and then find the measure of ZB:
LB
Answer:
because measure A and B are supplemantery ,since the measure of $m(A°)+m(B°)=180°$ , then 6z-48+4z+38=180° → 10z=190 → z=19 , therefore
m(B°)=4(19)+38 → m(B°)=114 ,and m(A°)=6(19)-48=66°
Question 21:
Name the angle:
Answer: Either angle QPO or angle OPQ
Explanation:
When naming an angle, we always have the vertex as the middle letter. That vertex is P. It's where the two rays are joined.
So we could have the name "angle QPO" or "angle OPQ" since the order of the other letters doesn't matter. All that we care about is P is in the middle.
PLEASE HELP USING ALL MY POINTS FOR THIS!!! WILLMARK BRAINLIST
A basketball team allows people to buy either a ticket (T), or an signed autograph ticket (S). If two customers buy one ticket each, what is the sample space for this? Select all the choices that are included in the sample space.
SSS
TTT
TST
TT
ST
TS
TSS
T
SST
STS
S
TTS
STT
SS
An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The sample space for the given situation is {CC, AC, CA, AA}.
What is a sample space?An experiment's or random trial's sample space is the set of all conceivable outcomes or results. Set notation is commonly used to represent a sample space, and the potential ordered outcomes, or sample points, are given as elements in the set.
For the given situation, Let Buying a classical ticket be represented by T, while buying an autograph event ticket is represented by S.
Therefore, The sample space for buying either a classic ticket T or an autograph event ticket S from the table = {TT, TS, ST, SS}.
Hence, the sample space for the given situation is {TT, TS, ST, SS}.
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The probability that a randomly selected point on the grid below is in the blue area is StartFraction 9 over 16 EndFraction. A grid with 16 squares. 9 squares are shaded blue. Which expression can be used to find the probability that a randomly selected point is in the white area of the grid? 1 minus StartFraction 9 over 16 EndFraction 1 minus StartFraction 7 over 16 EndFraction 1 + StartFraction 9 over 16 EndFraction 1 + StartFraction 7 over 16 EndFraction
1 minus StartFraction 9 over 16 EndFraction
This is the same as writing 1 - 9/16
======================================================
Explanation:
9/16 is the fraction 9 over 16
It is a shorthand way of saying 9 squares are shaded out of 16 total.
When writing 1 - 9/16 or 1 - (9/16), this represents the number of white squares that aren't shaded blue.
------------
This is what happens when you simplify the expression
1 - 9/16
16/16 - 9/16
(16-9)/16
7/16
This shows that there are 7 white squares.
------------
Or if you want, you can think of it like this:
16 squares total, 9 are blue
16-9 = 7 squares are white
7/16 is the fraction of squares that aren't shaded blue.
I’ll mark brainly if you answer this
Answer:
I'm pretty sure it is (c)
Step-by-step explanation:
bc the angle is not read in the right order
Select the correct answer.
Which graph shows a function and its inverse?
Answer:
Graph B
Step-by-step explanation:
Remember that for a function to have an inverse, the function must be 1-to-1. The two functions must also be symmetrical about the line y=x, which is apparent in the second graph.
A company earns $7 for every book sold. The company can sell 200 books in 2 hours. At this rate, how much money would the company earn in 8 hours of selling books?
Answer:
$5,600
Step-by-step explanation:
1. divide 200 by 2 (this gives you the rate for 1 hour of book sales)
2. multiply the answer by 8 hours
3. multiply your answer (800) by $7
4. You solved it! $5,600 is how much money a company would earn if they sold books for 8 hours.
Answer:
The company earns $5,600 per 8 hours of book sellingStep-by-step explanation:
Step 1
Find how much books the company sells in 8 hours of selling books
To find this, we see that 2 hours = 200 books. Also, 8/2=4. That means that if we multiply 200 by 4, then we will get our total amount of books sold in 8 hours.
200x4=800
800 books sold in 8 hours
Step 2
Find how much money does 800 books equal to get FINAL ANSWER
To find this, we need to know the price of 1 book, the price of one book is 7$, that means that if we do 7$x800books, then we get our FINAL ANSWER
7x800=$5,600
Hence, the company earns $5,600 for sellings books for 8 hours.