Answer:
[tex]y = \frac{1}{10}x + 6[/tex]
500 cups cost $56
Step-by-step explanation:
Given
[tex]x = cups[/tex]
[tex]y = cost[/tex]
[tex](x_1,y_1) = (150,21)[/tex]
[tex](x_2,y_2) = (300,36)[/tex]
Solving (a): Linear Equation
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute right values
[tex]m = \frac{36 - 21}{300- 150}[/tex]
[tex]m = \frac{15}{150}[/tex]
[tex]m = \frac{1}{10}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where
[tex](x_1,y_1) = (150,21)[/tex]
[tex]m = \frac{1}{10}[/tex]
This gives:
[tex]y = \frac{1}{10}(x - 150) + 21[/tex]
Open bracket
[tex]y = \frac{1}{10}x - \frac{1}{10}*150 + 21[/tex]
[tex]y = \frac{1}{10}x - 15 + 21[/tex]
[tex]y = \frac{1}{10}x + 6[/tex]
Solving (b): Cups of coffees for $56
Substitute 56 for y in [tex]y = \frac{1}{10}x + 6[/tex]
[tex]56 = \frac{1}{10}x + 6[/tex]
Subtract 6 from both sides
[tex]-6+56 = \frac{1}{10}x + 6-6[/tex]
[tex]50 = \frac{1}{10}x[/tex]
Multiply both sides by 10
[tex]10 * 50 = \frac{1}{10}x * 10[/tex]
[tex]10 * 50 = x[/tex]
[tex]500 = x[/tex]
[tex]x = 500[/tex]
Hence: 500 cups cost $56
Graham recruited student volunteers to participate in his dissertation study. He set up several times for students to come to a specified classroom and read various types of instructional materials and to be tested. He ran all of his control conditions first and then for each session he placed all students at the session in the same treatment condition. This is problematic because those who volunteered early are likely different than those who volunteered later. This problem is primarily due to 1. response bias. 2. instrumentation bias. 3. researcher bias. 4. sampling bias.
Answer:
Sampling bias
Step-by-step explanation:
Bias refers a prominent problem in statistical analysis whereby one or more analytical factor are favored than the other during an analysis which should be made random. The problem. With Graham's dissertation study is the fact that he failed to randomlyvplace his subjects or observation in the study groups, favoring a particular group with non random subset. When randomization is ejected or missing from an analysis or study, it becomes less and less representative. Here, allotting early Arrivals Into the treatment group has introduced a sampling bias as those who came later, this will also leads to less reproducibility of experiment.
ayuda la otra es otra y después de la y
Answer:
es igual a 30
Step-by-step explanation:
x=10 y Y=5
por tanto sería
10+10+5+5=30
Evaluate 8 * 3 ^ x for a ) x = - 2 and (b) * x = 3 Write your answers in simplest form
Answer:
a. [tex]\frac{8}{9}[/tex] b. 216
Step-by-step explanation:
Amanda ate 1/3 of her mom's pie. she gave the remaining 2/3 to 4 friends, What fraction did each friend get.
On a map, 2.7 inches = 60 miles. How far apart are two cities if they measure 4.5 inches
apart on the map?
Answer:
120 miles
Step-by-step explanation:
2.7 times 2 is 4.5, so 60 times 2 is 120 (you're basically doubling both.)
what is the correct equation for the graph?
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.
What is the y-intercept of y=2/3x+2
Answer:
(0,2)
Step-by-step explanation:
The linear equation is mx+b=y.
m=slope
x= x coordinates
b=y intercept
y=y coordinates
In this case 2 is the y intercept.
Answer:
Y-intercepts: (0,2) so I'm pretty sure your answer is 2.
Step-by-step explanatio
Which expression can be used to solve the problem below? What is 1/4 of the product of 12 and 3?
Answer:
12/4=3and3/4is 1/4 of the product of 12
and 3.
Which solid has a greater volume? O A. Figure A 48 B. Figure B O C. they are equal A 2 O D. need more information
9514 1404 393
Answer:
B. Figure B
Step-by-step explanation:
The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.
The pyramid volume is ...
V = 1/3Bh
V = 1/3(4²)(9) = 48 . . . cubic units
__
The cylinder volume is ...
V = πr²h
V = π(1²)(48) = 48π . . . cubic units
The cylinder has π times as much volume as the pyramid. Figure B is larger.
_____
Additional comment
If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.
Brayden was out at a restaurant for dinner when the bill came. His dinner came to $22. After adding in a tip, before tax, he paid $28.60. Find the percent tip.
Answer:
Step-by-step explanation:
Your answer
Price = 22$
TIP IN PRICE = 28.6$
Tip in discount = 30%
Mark it as Brainlist answer. Follow me.
Answer
Step-by-step explanation:
Help again! Just these last 3 questions. I don't wanna beg for answers, but I need help thank you. This assis due in a few minutes, I'm not gonna rush you, just take your time :)
Answer:
Question 4: 20 + 6 + 6 + 12 + 16 = 60 [tex]yd^{2}[/tex]
Question 5: 144 + 90 + 90 + 48 + 48 = 420 [tex]m^{2}[/tex]
Question 6: 78.28 + 78.28 + 88.58 + 27.09 + 27.09 = 299.32 [tex]ft^{2}[/tex]
Step-by-step explanation:
Hope this helps!
please help.................
Answer:
Is that thick line an equal or a minis sign? I cant see it.
A high school teacher is interested to compare the average time for students to complete a standardized test for three different classes of students. The teacher collects random data for time to complete the standardized test (in minutes) for students in three different classes and the dataset is provided below. The teacher is interested to know if the average time to complete the standardized test is statistically the same for three classes of students. Use a significance level of 5%. The teacher has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal. (a) calculate the Test Statistic for this example (round your answer to 2 decimal places) (b) calculate the P-value for this example (round your answer to 2 decimal places)
Answer:
hello some parts of your question is missing attached below is the missing part
"Class A" Class B Class C
111 120 107
75 96 93
109 112 89
101 89 117
102 103 82
81 112 64
103 98 107
87 101 101
88 82 114
answer : a) Test statistic = 0.46
b) p-value = 0.64
Step-by-step explanation:
A) To calculate the Test statistic ; use excel software
steps involved :
i) import Data, ii) choose Anova; single factor
iii) choose input range and column in groups iv) choose output range
attached below is the table
b ) calculate the P -value
P-value = 0.64
After dinner, Mirna had a second serving of her chocolate bar, eating 3
more pieces. Which equation shows how much she has left of the
whole candy bar after this second serving ?
A.) 5/8 - 3/8 = 2/8
B.) 8/8 - 3/8 = 5/8
C.) 8/8 - 5/8 = 3/8
D.) 3/8 - 2/8 = 1/8
The answer is c because 8 - 5 is 3.
Write 44% as a fraction in simplist form
Answer:
11/25
Step-by-step explanation:
Answer:
11/25
Step-by-step explanation:
44/100 → 22/50→ 11/25
PLZ HELP I WILL MARK BRAINLIEST
Which equation and solution can be used to solve this problem?
Twenty-two less than a number is twenty-four.
q + 22 = 24: Subtract 22 from both sides. The answer is 2.
24 + q = 22: Subtract 22 from both sides. The answer is 2.
q minus 24 = 22: Add 24 to both sides. The answer is 46.
q minus 22 = 24: Add 22 to both sides. The answer is 46.
Answer:
Step-by-step explanation:
22 less than a number, q-22, ‘is’ 24 is =24
q-22=24 adding 22 to both sides gives q=46
Answer:
q minus 22 = 24: Add 22 to both sides. The answer is 46.
Step-by-step explanation:
Solve each equation to see if it works.
Q - 22 = 24 does work.
Why do some people sleep with hair rollers
Answer:
to have their hair ready and curled the next day. and to not have it heated or chemical damaged bc it ruins ur hair :)
A car rental agency advertised renting. a car for $24.95 per day and $0.27 per mile. If Brad rents this car for 4 days, how many whole miles can he drive on a $200 budget?
Answer:
Around 370 when rounded
Step-by-step explanation:
ok so we know that for one day rental cost 24.95 and 0.27 per mile.
Brad has a budget of 200 and wants to rent a car for 4 days and wants to know how many miles he can drive with his budget.
First off you have to mulitply 24.95(which is how much the rental cost per day) by 4. 24.95 x 4=99.8 so out of his 200 dollars he now has 100 budget for miles.
Next we are going to divide the 100 dollars left out of the budget by the cost per mile which is 0.27. 100/0.27=370 when rounded.
Answer:
Step-by-step explanation:
The manager of a supermarket records the waiting times of 100 customers.
He wishes to calculate an estimate for the mean waiting time.
He draws this table.
Waiting Time
Number of
Midpoint (x)
fx
(minutes)
customers (0)
0-
0.5
5
2.5
1 -
1.5
28
42
2 -
2.5
32
80
3.5
26
91
3-
4-5
4.5
9
40.5
100
256
a) Complete the table.
b) Calculate an estimate for the mean. (I JUST NEED HELP ON B)
Answer:
2.56
Step-by-step explanation:
you add all the columns up to get an answer of 256 and divide it by 100=2.56
Answer:
2.4
Step-by-step explanation:
Evan sells bicycles in his store. He marks up the prices by 40% of what he pays for them. If he
sells a gold bicycle for $180.49. how much did he buy it for?
Answer:
Step-by-step explanation:
1.40x = 180.49
x= $128.92
Factor completely and then place the factors in the proper location on the grid.
4 n2 + 28 n + 49
Answer:
(2n+7)^2
Step-by-step explanation:
I gave away 15 pencils in math. Now I have less than 37 left. How many did I have before I gave any away?
Answer:
less than 52 or < 52
Step-by-step explanation:
x - 15 < 37
+15 +15
x < 52
Please correct answer
Answer:
14.333 yards
516 inches
Answer:
3) 43 ft = 14.33 yards and 516 inches.
Step-by-step explanation:
43 ft = ? yards
Divide 43 by 3: 43 ÷ 3 = 14.33 yards
43 ft = ? inches
Multiply 43 by 12: 43 × 12 = 516 inches
Solve for x.
Your answer must be simplified.
-18<9x
Answer:
[tex]x > - 2[/tex]
Step-by-step explanation:
[tex] - 18 < 9x[/tex]
[tex] - 2 < x[/tex]
Answer:
It is -2 < x
Step-by-step explanation: Because I did it on paper....
12(x+1/6)=8 solve for x
Determine if the following lines are parallel, perpendicular, or neither
y = 6x
- 12x + 2y = -1
Select the correct answer below:
Parallel
O Perpendicular
Neither parallel nor perpendicular
Determine if the following lines are parallel, perpendicular, or neither
y = 6x- 12x + 2y = -1
Select the correct answer below:
Parallel
O Perpendicular
Neither parallel nor perpendicular
Answer:
It's perpendicular
If this figure is dilated by a scale factor of 3, what would the new coordinates be?
Answer:
J (-3,3), G (0,3), H (4,9), I (3,3)
Step-by-step explanation:
When your dilating a figuring it either gets larger or smaller. Since this is a positive number, and it is not a fraction then the figure is getting larger. Now you multiply each of the original coordinates by 3 to get the dilated coordinates.
(For learning purposes only)
A box contains 48 marbles. Two-thirds of the marbles are red. Three-fourths of the red marbles in the box are red and striped. How many of the marbles in the box are red and have stripes?
A.24 marbles
B.12 marbles
C.32 marbles
D.16 marbles
Answer:
C
Step-by-step explanation:
Answer: 24
Step-by-step explanation: 24
Simply multiply all of the fractions with the total number of marbles
48(2/3)(3/4)
If you overestimate the standard deviation of the population, which type of error are you potentially increasing
Answer:
Standard Error
Step-by-step explanation:
The standard deviation is directly proportional to the sample standard deviation or standard error.
According to the relation :
Standard Error = standard deviation / sqrt(sample size)
Going by these relation an increase in the value of standard deviation will favor or increase the standard error withba constant Number of samples.
Therefore, overestimating the standard deviation will. Cause an increase in the standard error, while underestimating the standard deviation will also lower the standard error.
