Write the equation of the quadratic function shown in the graph.
Answer:
Step-by-step explanation:
y = a(x-h)² + k, where (h,k) is the vertex.
vertex is clearly (0,0), so y = ax².
Plug in (3,3) and solve for a:
3 = a3²
a = ⅓
y = ⅓x²
Bella, Tia, and Ron participate in a trivia contest at a book shop. Tia scores 4 points, Ron scores 3 points, and Bella scores 2 points. Each player gets a number of paperback books equal to the square of the points he or she scores. What is the total number of books the players receive?
42 × 32 × 22
42 + 32 + 22
24 × 23 × 22
24 + 23 + 22
Answer:
4(2 on top) + 3(2 on top) + 2(2 on top)
Step-by-step explanation:
Jane's dog is 62 centimeters long. Alan's dog is 33 centimeters long. How
much shorter is Alan's dog than Jane's dog?
I’m unsure how to do this statistics problem I believe it has to do with the bell curve
In a random sample of 8 people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.4 minutes. A 90% confidence interval using the t-distribution was calculated to be (30.5,40.5). After researching commute times to work, it was found that the population standard deviation is 9.3 minutes. Find the margin of error and construct a 90% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.
Answer:
Margin of Error = 5.4088 ;
Confidence interval = (30.1 ; 40.9)
Interval estimate are almost the same
Step-by-step explanation:
Given that :
Population standard deviation, σ = 9.3
Sample size, n = 8
Xbar = 35.5
Confidence level = 90%
The confidence interval:
Xbar ± Margin of error
Margin of Error = Zcritical * σ/sqrt(n)
Zcritical at 90% = 1.645
Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088
Confidence interval :
Xbar ± Margin of error
35.5 ± 5.4088
Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1
Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9
(30.1 ; 40.9)
T distribution =. (30.5 ; 40.5)
Normal distribution = (30.1, 40.9)
Answer this for me please.
Quadrilateral ABCD is translated 2 units to the left and 5 units down to create quadrilateral A'B'C'D'.
D
6.1
1.4
А A
2.2
4.5
B
D
36
А?
36°
В?
Answer: 14.2
Step-by-step explanation: Khan Academy
29 of the 42 athletes who participated in
the parkrun were female. Determine
the probability of randomly selecting
a male athlete from this group.
Heather paid $37.50 for a pizza to be delivered to her house. She had a coupon for 30% off and
there is a tax of 8%. What was the total cost of the pizza to be delivered?
Answer:
The original cost of the pizza before the discount coupon and the tax was $49.28.
Step-by-step explanation:
Given that Heather paid $ 37.50 for a pizza to be delivered to her house, and she had a coupon for 30% off and there is a tax of 8%, to determine what was the total cost of the pizza to be delivered, the following calculation has to be done:
100 - 8 = 92
100 = 37.50
92 = X
92 x 37.50 / 100 = X
34.50 = X
100 - 30 = 70
70 = 34.50
100 = X
100 x 34.50 / 70 = X
49.28 = X
Thus, the original cost of the pizza before the discount coupon and the tax was $ 49.28.
what does any order grouping mean when adding expressions
Which properties are used?
Answer:
To evaluate a variable expression means to find the value of the expression for given values of the variables. To evaluate, substitute the given values for the variables in the expression and simplify using the order of operations (PEMDAS)
Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to. Each sample contains 65 responses, and the standard error of the mean is 44.8.
Use this information to complete the statement. Round your answer to the nearest hundredth.
The standard deviation is approximately(blank) .
Answer:
361.09
Step-by-step explanation:
Explanation:
Calculate the standard error of the mean, SE, using this formula, where is the standard deviation and n is the sample size.
For this situation, the sample size is 65, and the standard error of the mean is 44.8. Substitute these values into the formula, and solve for .
So the standard deviation is approximately 361.09.
The standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have:
Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to each sample contains 65 responses, and the standard error of the mean is 44.8.
As we know,
The standard error is given by:
SE = σ/√n
SE = 44.8
n = 65
44.8 = σ/√65
44.8√65 = σ
σ = 361.09
Thus, the standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.
Learn more about the standard deviation here:
brainly.com/question/12402189
#SPJ2
Let the universal set U = {q, r, s, t, u, v, w, x,
y, z}; with
subsets A = (q, s, u, w, y); B = {q, s, y, z}; and C={v, w, x, y, z).
List the members of the indicated set, using set braces.
AUB
Denise made 1/2 of a liter of hot chocolate. Each mug holds 1/10 of a liter. How many mugs will Denise be able to fill?
Answer:
5 mugs
Step-by-step explanation:
1/2 converted into 10ths would be 5/10 ... meaning 5 mugs
Kristen owns a bakery and is making a cake for a wedding. The dimensions of the cake are shown below. Answer each of the questions below.
What is the frosted area of the top cake? (Round to the nearest tenth)
What is the frosted area of the bottom cake? (Round to the nearest tenth)
What is the total surface area of cake that will be frosted?
Answer:
$22.5.
Step-by-step explanation:
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
y = (25 - x)(100 + 5x)
Simplifying,
y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
dy/dx = 0 = 25 - 10x
f(x) = x²+1
What is f(f(x))?
Answer:
f(f(x)) = x⁴ + 2x² + 2
Step-by-step explanation:
if f(x) = x² + 1, then f(f(x)) is equal to:
f(x)² + 1
= (x² + 1)² + 1
= x⁴ + 2x² + 1 + 1
= x⁴ + 2x² + 2
Solve the equation. 4 2/5 + k = -3 2/11
Step-by-step explanation:
[tex]\tt{}4 \frac{2}{5} + k = - 3 \frac{2}{11} [/tex]
[tex]\tt{} \frac{22}{5} + k = - \frac{35}{11} [/tex]
[tex]\tt{}k = \frac{35}{11} - \frac{22}{5} [/tex]
[tex]\tt{}k = - \frac{417}{55} [/tex]
[tex]\tt{}k = - 7 \frac{32}{55} [/tex]
808 - 589 what is the answer I need help
(I'm just trying to see if anybody here smart)
☁️ Answer ☁️
Find out who owns any 808-589 phone number. Get name, address, relatives, court records for the registered owner. (Nah jk)
The answer is:
219
Explanation: I used my eyes, fingers, and a calculator.
Hope it helps.
Have a nice day noona/hyung
Please help me hurry
Answer:
m<P = 48°
m<Q = 132°
Step-by-step explanation:
Given:
m<S = (14x + 6)°
m<R = (5x + 3)°
Required:
m<P, m<Q
Solution:
✔️First, find the value of x
m<S + m<R = 180° (consecutive angles are supplementary)
14x + 6 + 5x + 3 = 180 (substitution)
Collect like terms
19x + 9 = 180
19x = 180 - 9
19x = 171
x = 171/19
x = 9
✔️m<P = m<R (opposite angles are congruent)
m<P = (5x + 3)° (substitution)
Plug in the value of x
m<P = 5*9 + 3
m<P = 48°
✔️m<Q = m<S (opposite angels are congruent)
m<Q = (14x + 6)°
Plug in the value of x
m<Q = 14*9 + 6
m<Q = 132°
A set of two or more equations with the same variables is called a system of equations. When you set the
two expressions that are equal to the same variable equal to each other, like you did in the previous lesson,
you are using the Equal Values Method of solving a system of equations. Use the Equal Values Method to
solve the following problem.
It is time to cool off on a hot summer day! Team Sunshine is filling an inflatable kiddie pool from a garden
hose. The pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose.
Next door, Team Breeze's pool is already filled with 180 gallons of water. They are emptying the pool at 5
gallons per minute with buckets.
Write two equations to represent the situation. Use the equations to find how long it takes until both pools
have the same amount of water. Check your calculations.
Answer:
Both pools will have the same amount of water after 11 minutes and 32 seconds.
Step-by-step explanation:
Since Team Sunshine is filling an inflatable kiddie pool from a garden hose, and the pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose, while next door, Team Breeze's pool is already filled with 180 gallons of water, and they are emptying the pool at 5 gallons per minute with buckets, to determine how long it will take until both pools have the same amount of water, the following calculation must be performed:
Team Sunshine:
30 + (8X) = T
30 + 8x10 = 110
30 + 8x11 = 118
30 + 8x12 = 126
30 + 8x11.5 = 122
30 + 8x11.6 = 122.8
30 + 8x11.55 = 122.4
30 + 8x11.54 = 122.3
Team Breeze:
180 - (5X) = T
180 - 5x11 = 125
180 - 5x12 = 120
180 - 5x11.5 = 122.5
180 - 5x11.6 = 122
180 - 5x11.55 = 122.25
180 - 5x11.54 = 122.3
1 = 60
0.54 = X
0.54 x 60 = X
32.4
Thus, both pools will have the same amount of water after 11 minutes and 32 seconds.
PLEASE ANSWER THIS QUESTION
(WARNING : I ASK YOU GUYS FOR THE LAST TIME, I CAN'T DOWNLOAD ANYTHING BECAUSE MY COMPUTER IS WEIRD SO PLEASE DON'T TELL ME TO DOWNLOAD THE ANSWER AND JUST GIVE ME THE ANSWER PLEASE)
Help please question in picture
Answer:
10 units squared
Step-by-step explanation:
[tex]4(5)=20[/tex]
[tex]\frac{20}{2}=10[/tex]
What is the quotient of m and 11
I don't understand this, I really need help!!!!!! quickly
Answer:
2923.34
Step-by-step explanation:
π×r²×h
3.14 ×7 ²×19 2923.34
2923.34
Step-by-step explanation:
the formula for the volume of a cylinder is V = 3.14 × radius squared × h. So 3.14 × 49 × 19 which equals 2924.82
What is the area of a rectangle with the length 14 1/2 inches and a width of 5 2/3 inches
Answer:
A = 82 1/6 in^2 (frac. form)
or
A = 82.17 in^2 (dec. form)
Step-by-step explanation:
A = l*w
A = (14 1/2)(5 2/3)
A = (29/2)(17/3)
A = 82 1/6 in^2 (frac. form)
or
A = 82.17 in^2 (dec. form)
Cory writes the polynomial x7 + 3x5 + 3x + 1. Melissa writes the polynomial x7 + 5x + 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?
Answer:
Yes??
Step-by-step explanation:
7+3x5+3x+1
7+15+3x+1
22+3x+1
3x+23
7+5x+10
5x+17
Yes, much difference
---
hope it helps
sorry if i'm wrong, sum of the x's confused me
Answer:D
Step-by-step explanation:
URGENT WILL GIVE BRAINLIEST
Answer:
It's either C or D, I'm thinking C, but I don't know for sure. Sorry for the delay
The Holbrooks ordered 25 gallons of orange juice and 16 pints of cranberry juice for their resturant. How much juice do they have in all?
Answers = a- 57 gallons b- 29 gallons
c- 216 gallons d- 164 gallons
Answer:
27gallons
Step-by-step explanation:
First we need to convert 16pints to gallons
Since;
1 pint = 0.125gallons
16 pints = x
Cross multiply
1 * x = 16 * 0.125
x = 2gallons
Since Holbrooks ordered 25 gallons of orange juice and 16 pints of cranberry juice for their resturant, the total juice he has is 25gallons + 2 gallons = 27gallons
help plz with Algebra question I attached a file
Answer:
x=4.63
Step-by-step explanation:
Area = (1/2) (base) (height)
20 = (1/2) (x+4) (x)
40 = x²+4x
x²+4x-40=0
Put in quadratic equation:
x=[tex]\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}[/tex]
x=[tex]\frac{-4(+/-)\sqrt{176} }{2}[/tex]
x=4.63324958071 or x=-8.63324958071
Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63
Can someone help me
Answer:
x is 10
Step-by-step explanation:
draw a line AD to make triangle ABD (which will be a right triangle)
use Pythagorean theorem to find the length of AD
[tex]a^{2} +b^{2} =c^{2} \\6^{2} +8^{2} =c^{2} \\36+64=c^{2} \\100=c^{2} \\10=c[/tex]
Side AD is a radius of the circle, x is also a radius, so they are equal so x is 10
Please help me find the surface area!
Answer: question 9 COULD be 240 and 12. might be 2880
Step-by-step explanation: