Answer:
✅[tex] R = 4c [/tex]
Step-by-step explanation:
The equation that will represent the amount raised after selling the cakes to be written in slope-intercept form is given as [tex] y = mx + b [/tex].
Where,
y = R (amount of cake sold in dollars)
x = c (cakes sold)
m = slope
b = y-intercept.
The equation would look like:
[tex] R = mc + b [/tex]
We need to find the value of m and b, to get an equation to represent the situation.
The first point we have from the information given is (15, 60) => 15 cakes sold for $60.
The second point is (22, 88) => 22 cakes sold for $88.
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{88 - 60}{22 - 15} = \frac{28}{7} = 4 [/tex]
To find b, substitute c = 15, R = 60 and m = 4, into [tex] R = mc + b [/tex].
[tex] 60 = 4(15) + b [/tex]
[tex] 60 = 60 + b [/tex]
[tex] 0 = b [/tex]
Since b = 0, this means there is a proportional relationship between R and c.
Substitute m = 4 and b = 0 into [tex] R = mc + b [/tex] to derive an equation to represent the amount R Natalia and her friends raised after selling c cakes.
[tex] R = 4c + 0 [/tex]
✅[tex] R = 4c [/tex]
Which equations has a solution of X=1.5
Bailey has 8 pears.
Each pear weighs
1/4 pound. How
many ounces of
pears does Bailey
have?
The answer is 2 pounds.
Each pound weighs 1/4, so you divide 8 by 1/4 and you get 2.
Construct a 98% confidence interval to determine whether there is any difference between the mean drug concentration in tablets produced at the two sites. Now analyze the data using a statistical test of hypothesis that the two means are different. Do the inferences drawn from the test of hypothesis and confidence interval agree
Answer:
Step-by-step explanation:
So, we are given two sites;
Site one: 91.28 , 92.83, 89.35, 91.90 82.85, 94.83, 89.83, 89.00, 84.62, 86.96, 88.32, 91.17, 83.86, 89.74, 92.24, 92.59, 84.21, 89.36, 90.96, 92.85, 89.39, 89.82, 89.91, 92.16, 88.67.
=> The mean = add up all the numbers/ the total numbers (which is 25). = 89.55.
=> The standard deviation = 3.005
SITE TWO: 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20 93.44 86.77 83.77 93.19 81.79.
=> The mean= add up all the numbers/ the total numbers (which is 25). = 89.033.
=> Standard deviation = 3.271.
NB: the assumption here is that the variance for both sites are the same.
STEP ONE: DETERMINE THE DEGREE OF FREEDOM AND THE CRITICAL VALUE.
The degree of freedom =( mean of site 1 ) + (mean of site 2) - 2 = (25 + 25) − 2 = 48.
Since the degree of freedom is 48, Recall that the value for alpha given = 0.02. Then, the critical value = 2.407.
STEP TWO: DETERMINE THE STANDARD DEVIATION AND THE STANDARD ERROR FOR BOTH.
Therefore, the standard deviation = √[( 25 - 1) × 3.005^2 + (25 -1) × 3.271^2) ÷ (25 +25 - 2) ] = 3.14.
Also, the standard error = standard deviation × ( √(1/ mean 1 + 1/mean 2) ..
Standard error = 3.14 × [ ✓( 1/25 + 1/25)] = 0.89.
STEP THREE: DETERMINE THE CONFIDENCE INTERVAL.
confidence interval = (89.548 - 89.033 - 2.41 × 0.89, 89.548 - 89.033 + 2.41 × 0.89) = (- 1.62, 2.65).
STEP FOUR: THE HYPOTHESES.
=> THE TWO TAILED TEST.
Jo:μ1 = μ2.
Ja: μ1 ≠ μ2.
Thus, the rejected region is {t : ∣ t ∣ > 2.7}
As critical value = 2.7 for the degree of freedom which is 48 and α=0.01.
If we do the t - test for this,.we will have;
(89.548 - 89.003)÷ ( standard deviation × √ ( 1/25 + 1/25). = 0.58.
So,from our t - value, is less or equals to the critical value, therefore, the null hypothesis is not rejected.
Also, from the p-value table which gives p=0.565. The p- value is greater than or equal to the alpha value(0.01). therefore, the null hypothesis is not rejected.
We are not going to reject the null hypothesis because the information gathered is not enough.
How many fewer boys’ shoes were 19 cm long than 22 cm long?
Answer:
6 boys
Step-by-step explanation:
I had a quizlet
Please help I’m stuck on this question
Answer:
A. this is a vector, so you need a bar on top (ie not D)
Step-by-step explanation:
4x^10 + 9x^10 what is the sum or difference
Answer:
[tex]13x^1^0[/tex]
Step-by-step explanation:
[tex]4x^1^0+9x^1^0[/tex]
Add similar elements:
[tex]4x^1^0+9x^1^0=13x^1^0[/tex]
What are the answers and explain
Answer:
Step-by-step explanation:
answers to what
PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU 7x - 4x + 3
Answer:
7x - 4x + 3
3x + 3 = 6x
Step-by-step explanation:
7 - 4 = 3 meaning 7x -4x would be 3x as they are similar terms and then you add + 3 making it 6x
Three friends go grocery shopping together, and each buys the same kind of
oranges. LaMar buys 2 pounds (lb) and pays $1.00. Enrico buys 4 pounds and
pays $2.00. Anna buys 3 pounds and pays $1.50.
Identify the aranh and unit price that represent the orange costs.
Answer: C In my case
Step-by-step explanation:
Well you wanna choose the one with 1,2,3,4 as its pounds and that should be correct with the 50 cents in dollars.
Carley owns an ice cream stand. She wants to predict how many ice cream cones she will sell as a function of the average daily high temperature each month. The data for the past 777 months is shown in the table below.
Answer:
can you show me the data so i can see the temperature
Answer: Graph C
Step-by-step explanation: The answer is C (Took the quiz)- Khan Academy
Bella went shopping for a new phone. To find the total plus tax, she multiplied the price of the phone by 1.075. What percent tax did she pay?
sec²A-cosec²A=(tanA+cotA)(tanA-cotA)
Answer:
Step-by-step explanation:
Sec²A-cosec²A=(tanA+cotA)(tanA-cotA)
Tan^2A+1-cot^2A-1=(tan^2A-cot^2A)
tan^2A-cot^2A=tan^2A-cot^2A
L.H.S=R.H.S
Hence proved.
4n+7-2 pls in really need help;-;
Answer:
4n + 5
Step-by-step explanation:
This equation cannot be simplified further
Unless you meant 4n + 7 = 2
Then the answer would be -1.25
Answer:
4n+5 hope this helps
Step-by-step explanation:
4n+7-2
4n+5
which term of the series 2187,729,243...is 1/9
Answer:
Step-by-step explanation:
Givens
a = 2187
r = 1/3
L = 1/9
what is n
Formula
L = a*r^(n-1)
1/9 = 2187 * (1/3)^(n-1)
1/(9 * 2187) = (1/3)^(n - 1)
1/19683 = (1/3)^(n - 1)
=================
You need to break 19683 down into its prime factors.
19683 = 3* 729
19683 = 3 * 3 * 243
19683 = 3 * 3 * 3 * 81
81 = 3^4 so there are 4 more threes in the breakdown.
19683 = 3 * 3 * 3 * 3 * 3 * 3 * 3
1/19683 = 1/(3)^(7-1)
1/9 is the 6th term in the series.
Study the diagram of circle C, where two chords, AB and DE, are equidistant from the center.
If AB=3x − 7, and DE = 5(x − 5), what is the length of AB?
Enter the correct value.
The answer to what is the length of AB and the correct value is 20
I got a 100% on test
Mr. Santiago has a flight from New York to Paris that covers a distance of 3,640 miles in 7 hours. If the plane travels at the same speed per hour, how many miles will it have traveled after 4 hours?
2. Josh watches 720 shows in one year. If he watches the same number of shows each month, how many shows does he watch in 5 months?
Answer:He traveled 2080 miles after 4 hours. He covered 3640 miles in 7 hours with a constant speed, so we can calculate the speed: 3640/7=520 miles/hour. After 4 hours, he traveled 520*4=2080 miles.
Step-by-step explanation:
There are 4 trucks for every 5 cars in a parking lot. If there are 80 cars, how many trucks are in the parking lot?
Answer:
There are 64 trucks!
Step-by-step explanation:
what is 15+15 I need help
Answer:
30
Step by step explanation:
lol
can someone help me with this?
Answer:haha no
Step-by-step explanation:
There was a country concert held at the park. For every 3 men there were 5 women that went to the concert. If 30 more women attended the concert than men, how men and how many women attended the concert.
Answer:
3m == 5w, that means for such unit, there is a 2 person difference
30 person difference = 30/2 = 15units
and again one unit means 3m and 5w
so 15*3men, and 15*5women
and you can check the difference is 30
Help I don’t understand?!?!
Answer:
Which number u trynna flex bro
Step-by-step explanation:
lets go lets roll gogogogog
When using substitution to solve this system of equations, what is the result of the first step x=6y+3
x+2y=5
The result of first step is 6y+3+3y = 5 and values of x and y after solving are 1/4 and 9/2 respectively.
What is substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
Given that, the two equations x=6y+3 and x+2y=5 being solved by substitution method
So, the equations are,
x=6y+3.......(i)
x+2y=5......(ii)
Substituting eq(i) in eq(ii)
6y+3+2y = 5
8y = 2
y = 1/4
Put y = 1/4 in eq(i)
x = 6x1/4+3
x = 9/2
Hence, The result of first step is 6y+3+3y = 5 and values of x and y after solving are 1/4 and 9/2 respectively.
For more references on substitution method, click;
https://brainly.com/question/14619835
#SPJ2
Find the length of JI
Answer:
12
Step-by-step explanation:
Assuming that KI is 15 units longs, we can set up an equation by using the equations given.
2x-15+2x-6=15 /simplify
4x-21=15 /+21
4x=36 /÷ 4
x=9
Now that we know that x is 9 units, we plug it into the given equation of the line.
2*9-6=12
Thus, JI is 12 units long.
I hope this helps!
What is the image of 2,-1 after a reflection over the y axis
There are no images included, but it would be -2,-1.
Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?
A 3x33 cube is built out of twenty-seven 1x1x1 blocks. Then,
seven ixi blocks are removed. Specifically, the center block
from each of the six faces of the cube is removed and the center
block of the cube is removed. What is the total surface area of
the modified cube?
Answer:-7^2(negitive seven to the second power)
Step-by-step explanation:
Plz i need an accurate answer help me plz. Choices -
-6 or 6
Answer:
6/2 or it can be 3 and that one will be with the one that says x=1 and 7 will be the answer for the one that says x=5 or it can be 14/2
Step-by-step explanation:
I hope this is what you mean
Solve the equation-17x-16=-135
Answer:
x=7
Step-by-step explanation:
Add 16 to both sides
-17x-16+16=-135+16
Simplify
-17x=-119
Divide both sides by -17
-17x/-17=-119/-17
Simplify
x=7
Hope this helped! :)
I need some help with these, I would appreciate it.
What is the equation you would set up to solve the following problem? DO NOT SOLVE THE EQUATION.
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?