Answer:
I don't know
Step-by-step explanation:
Answer:
Step-by-step explanation:
3
Let C represent the cost in dollars and R represent the revenue in dollars. What is the break-even point? Use a table to help if necessary. C=15x+150 And R=45x
Answer:
[tex]x = 5[/tex]
[tex]R = C = 225[/tex]
Step-by-step explanation:
Given
[tex]C = 15x + 150[/tex]
[tex]R = 45x[/tex]
Required
The break even point
To do this, we make use of:
[tex]R =C[/tex]
[tex]45x=15x + 150[/tex]
Collect Like Terms
[tex]45x-15x = 150[/tex]
[tex]30x = 150[/tex]
[tex]x = 5[/tex]
Substitute 5 for x in [tex]R = 45x[/tex]
[tex]R = 45 * 5[/tex]
[tex]R = 225[/tex]
Hence, the break even point is:
[tex]x = 5[/tex]
[tex]R = C = 225[/tex]
What is the common factor in 14xy – 25yz?
1. z
2. x
3. xyz
4. y
Answer:
it would be y since both are common there
The difference between 3 times a number x and 2 is 19. What is the value of x?
ILL MARK AS BRAINLYEST
Answer:
the value of x is 7.
Step-by-step explanation:
2+19=21
21÷3=7
Check:
3×7=21
21-2=19
Therefore, 7 is the answer.
A painter charges $20 for every hour that he paints. Let h represent the number of hours he paints and e represent his earnings. Select all the statements that are true.
Answer:
the 3 correct ones are b,c,e
Answer:
See below.
Step-by-step explanation:
He earns $20 per hour, so when you multiply 20 by h number of hours, you get the amount he earns for working h hours.
The equation is
e = 20h
A is false.
B
e = 20h
20h = 500
h = 25
B is true.
C is false. He earns $20 per hour, not 20h dollars per hour.
D
e = 20h
For 10 hours, h = 10.
e = 20 * 10 = 200
He earns $200 for 10 hours.
D is false.
E
If he raises his hourly rate by $2, he will earn $22 per hour. The new equation is
e = 22h
E is true.
Coaching companies claim that their courses can raise the SAT scores of high school students. Of course, students who retake the SAT without paying for coaching generally raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached. Starting with their verbal scores on the first and second tries, we have these summary statistics:
Try 1 Try 2 Gain
x s x s x s
Coached 500 92 529 97 29 59
Uncoached 506 101 527 101 21 52
Let's first ask if students who are coached significantly increased their scores.
You could use the information given to carry out either a two-sample t test comparing Try 1 with Try 2 for coached students or a matched pairs t test using Gain. Which is the correct test? Why?
A. Two-sample test, because we are given data for the two samples which is more accurate than the data only on the gain.
B. Matched pairs test, because we are not interested in the difference in mean between the two groups, but the gain that each student has achieved.
C. Two-sample test, because matched pairs test can be performed only if we have information on every individual.
D. Matched pairs test, because we are interested in the difference in mean between the two groups - not the gain that each student has achieved.
Answer:
Matched pairs test, because we are interested in the difference in mean between the two groups - not the gain that each student has achieved.
Step-by-step explanation:
Due to the correlation which exists between the two Given samples, we need to examine the difference between the pair of each point in the dataset ; coach and uncoached point. Hence, in other to analyze the underlying pattern between each data point in the two categories, the matched pair test will be more appropriate due to the underlying relationship between the reported groups.
A spherical tank is 3 m tall and therefore has a capacity of about 14000 L (NOTE that 3m is its diameter, and one cubic meter is 1000 L). You have been asked to put level lines on the tank showing the depths where the tank contains 1000, 5000, and 10000 L of liquid. (a) Use calculus to determine the height of each line (to the nearest cm). (b) Plot the circular cross-section of the tank and the level lines (NOTE the lines do not have to stay within the circle).
Answer:
(a) 1) When V = 1000 L, the height of the liquid in the tank is approximately 62 cm
2) When V = 5,000 L, the height of the liquid in the tank is approximately 106 cm
3) When V = 10,000 L, the height of the liquid in the tank is approximately 202 cm
b) The drawing of the spherical tank showing the height of the liquid level for each volume created with Microsoft Excel is attached
Step-by-step explanation:
(a) The height of the spherical tank = 3 m
The diameter of the spherical tank, d = 3 m
The capacity of the spherical tank = 14,000 L
The volume of a sphere, V = (4/3) × π × r³ =
Where, r = d/2
∴ r = 3 m/2 = 1.5 m
V = (4/3) × π × (1.5)³ ≈ 14.1371669412 m³
Using calculus, we have;
[tex]V = 2 \times \pi \times \int\limits^r_{0} {(r^2 - y^2)} \, dx = 2 \times \pi \times \left[r^2 \cdot y - \dfrac{y^3}{3} \right]^y_0[/tex]
For the two halves, we have;
[tex]V = \pi \times \left[r^2 \cdot y - \dfrac{y^3}{3} \right]^{\dfrac{y}{2}} _0 + \pi \times \left[r^2 \cdot y - \dfrac{y^3}{3} \right]^y_{\dfrac{y}{2}}[/tex]
[tex]V = 2 \times \pi \times \left[y^3- \dfrac{y^3}{3} \right]^y_0 = \dfrac{4 \cdot \pi \cdot y^3}{3}[/tex]
1) For V = 1000 L, we have;
[tex]1000 \ L = \dfrac{4 \cdot \pi \cdot y^3}{3}[/tex]
1000 L =
When V = 1000 L, we have;
[tex]y = \sqrt[3]{\dfrac{3 \times 1 \, m^3}{4 \times \pi } } \approx 0.62 \ m[/tex]
The liquid level, y ≈ 0.62 m = 62 cm
2) When V = 5,000 L, we have;
[tex]y = \sqrt[3]{\dfrac{3 \times 5 \, m^3}{4 \times \pi } } \approx 1.06 \ m[/tex]
The liquid level, y ≈ 1.06 m = 106 cm
3) When V = 10,000 L, we use the height of the unfilled volume at the top which is the volume of the sphere less the 10,000 L as follows;
For the volume of the sphere of 14,000 L, we have;
Volume at the top = 14,000 L - 10,000 L = 4,000 L = 4 m³
Therefore
[tex]y_{top} = \sqrt[3]{\dfrac{3 \times 4 \, m^3}{4 \times \pi } } \approx 0.985 \ m[/tex]
The height of the liquid in the tank, y = d - [tex]y_{top}[/tex]
∴ y = 3 m - 0.985 m = 2.015 m
The liquid level, y ≈ 2.015 m = 201.5 cm ≈ 202 cm
b) Please find attached the drawing of the spherical tank created with Microsoft Excel
a) (i) The level line for 1000 liters is set at a height of 0.486 meters.
(ii) The level line for 5000 liters is set at a height of 1.203 meters.
(iii) The level line for 10000 liters is set at a height of 1.926 meters.
b) The sphere is represented by the equation [tex]x^2+(y-1.5)^{2} = 2.25[/tex] and the level lines are represented by the linear functions [tex]y = 0.486[/tex], [tex]y = 1.203[/tex] and [tex]y = 1.926[/tex]. Please see the second image attached.
How to determine and plot the heights of a spherical tanka) First, we derive an expression for the volume of a spherical section ([tex]V[/tex]), in cubic meters, in terms of tank radius ([tex]R[/tex]), in meters, and liquid height ([tex]h[/tex]), in meters. The volume can be found by using the slicing method integral equation:
[tex]V = \int\limits^{H}_{0} {A(h)} \, dh[/tex] (1)
Where:
[tex]A(h)[/tex] - Area of the infinitesimal circular cross section, in square meters. [tex]H[/tex] - Required height of the liquid, in meters.If we know that [tex]A = \pi\cdot [R^{2}-(R-h)^{2}][/tex], then the volume formula is:
[tex]V = \pi\int\limits^H_0 {h\cdot (2\cdot R-h)} \, dh[/tex]
[tex]V = 2\pi\cdot R\int\limits^{H}_{0} {h} \, dh - \pi \int\limits^{H}_{0} {h^{2}} \, dh[/tex]
[tex]V = \pi\cdot R\cdot H^{2}-\frac{\pi\cdot H^{3}}{3}[/tex]
Then we obtain the following third order polynomial:
[tex]\frac{\pi\cdot H^{3}}{3}-\pi\cdot R\cdot H^{2}+V = 0[/tex] (2)
Now we proceed to solve numerically for each case:
Case 1 - [tex]R = 1.5\,m[/tex], [tex]V = 1\,m^{3}[/tex][tex]H = 0.486\,m[/tex]
The level line for 1000 liters is set at a height of 0.486 meters. [tex]\blacksquare[/tex]
Case 2 - [tex]R = 1.5\,m[/tex], [tex]V = 5\,m^{3}[/tex][tex]H = 1.203\,m[/tex]
The level line for 5000 liters is set at a height of 1.203 meters. [tex]\blacksquare[/tex]
Case 3 - [tex]R = 1.5\,m[/tex], [tex]V = 10\,m^{3}[/tex][tex]H = 1.926\,m[/tex]
The level line for 10000 liters is set at a height of 1.926 meters. [tex]\blacksquare[/tex]
b) The sphere is represented by the equation [tex]x^2+(y-1.5)^{2} = 2.25[/tex]level lines are represented by the linear functions [tex]y = 0.486[/tex], [tex]y = 1.203[/tex] and [tex]y = 1.926[/tex]. By a graphing tool we have the following result. [tex]\blacksquare[/tex]
To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538
Determine the 12th term of the following Arithmetic sequence, 5 ; 12; 19;... (2)
Answer:
26-33-40-47-54-61-68-75-82-89-96
A grocery store manager claims that 75% of shoppers purchase bananas as least once a month. Technology was used to simulate choosing 150 SRSs of size n = 100 from a population of shoppers where 75% buy bananas. The dotplot shows pˆ = the sample proportion of shoppers who bought bananas in the past month. A random sample of 100 shoppers from the store were selected and 64 bought bananas in the past month. Does this sample provide evidence that the grocery store manager overstated the true proportion? Justify your answer.
Answer:
P-value = 0.0333
At 5% level of significance;
0.0333 < 0.05
Therefore, we reject null hypothesis H₀ at 5% level of significance,
We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated
Step-by-step explanation:
Given the data in the question;
To test whether population proportion p is overstated;
Null hypothesis H₀ : p = (75%) = 0.75
Alternative hypothesis H₁ : = < (75%) < 0.75
now, sample proportion p" = 64 / 100 = 0.64
from the dot plot below, we will determine the p-value for test { P(p" < 0.64)}
so, the number of times p"<0.64 in 150 simulations is 5
Hence; P(p" < 0.64 ) = 5 / 150 = 0.0333
P-value = 0.0333
At 5% level of significance;
0.0333 < 0.05
Therefore, we reject null hypothesis H₀ at 5% level of significance,
We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated
This sample provide evidence that the grocery store manager overstated the true proportion P-value = 0.0333.
Given data in the question:
To test whether population proportion p is overstated; Null hypothesis H₀ : p = (75%) = 0.75 Alternative hypothesis H₁ : = < (75%) < 0.75Now, sample proportion p" = 64 / 100 = 0.64
From the dot plot below,
we will determine the p-value for test { P(p" < 0.64)} The number of times p"<0.64 in 150 simulations is 5Therefore:
P(p" < 0.64 ) = 5 / 150 = 0.0333 P-value = 0.0333
At 5% level of significance;
0.0333 < 0.05
Therefore, we reject null hypothesis H₀ at 5% level of significance,
We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated.
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Find the total of a
1560 meal with 15%
tip and 8% tax.
determine the value of n 25+2-15÷3=n
Nine bands are to perform at a weekend festival. Suppose you want to determine how many different ways there are to schedule their appearances. Would you use a combination or a permutation?
Answer:
permutation
Step-by-step explanation:
Analyzing the information in the question above, it is correct to say that it is necessary to use permutation, since the ORDER matters, since there is a need to program the band's appearances.
Permutation can be understood as an arrangement in which n = p, where n is the number of elements in the set and p is the number of available elements.
Therefore, the permutation of nine bands is:
Pn = n!
P9 = 9!
p9 = 362880
Use the graph to solve the equation x2 - 2x - 8 = 0.
Answer:
Graph.
y = x^ 2 − 2 x − 8
y = 0
Simplify. (x 3) 4 • x -3 x -36 x 9 x 4 x -21
Answer:
-1295x -21
Step-by-step explanation:
srry if it wrong
Answer:
=12x2+−3x+−1296x3+−21
Answer:
=−1296x3+12x2−3x−21
the ratio of boys to girls in the park was 4 to 5 .if 270 children were in the park.How many girl?
Answer:
150 are girls.
Step-by-step explanation:
There is an important difference between the way counts are viewed in ratio to that in fractions.
The ratio of boys : girls
4:5
so you have 4 boys and 5 girls making the whole count in its simplest form.
4+5=9
So to change the ratio proportion into fraction proportion we have:
Boys: 4/9
Girls: 5/9
It is given that the whole is 270 therefore the count of girls is:
5/9 x 270 = 150
Please help me 10 points reward
Answer:
Step-by-step explanation:
I re wrote the question so its easier to understand. You should now be able to solve this problem using simple math.
3² + (3×8) ÷ 2 - (2×5)
work it out in steps, using the acronym PEMDAS <3
can anyone help me please?
Answer:
line n
Step-by-step explanation:
What is the y-intercept of a line that passes through the points (1-7) and (5-25)?
Given:
A line passes through the points (1,-7) and (5,-25).
To find:
The y-intercept of the line.
Solution:
The line passes through the points (1-7) and (5-25). So, the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-7)=\dfrac{-25-(-7)}{5-1}(x-1)[/tex]
[tex]y+7=\dfrac{-25+7}{4}(x-1)[/tex]
[tex]y+7=\dfrac{-18}{4}(x-1)[/tex]
[tex]y+7=-4.5(x-1)[/tex]
Subtracting 7 from both sides, we get
[tex]y=-4.5x+4.5-7[/tex]
[tex]y=-4.5x-2.5[/tex]
Putting x=0, we get
[tex]y=-4.5(0)-2.5[/tex]
[tex]y=0-2.5[/tex]
[tex]y=-2.5[/tex]
Therefore, the y-intercept of the given line is -2.5 and the vertex form of (0,-2.5).
Compare the initial values and the rates of change for Jenna's and Finn's plans. What do they mean in the problem situations?
Answer:
Step-by-step explanation:
Find the area of the shape below
5) Un pedazo de pizza cuesta $30, un jugo cuesta $15. ¿Cuánto de deben sobrar de
$500 al comprar 5 pedazos de pizza y 5 jugos?
Answer:
I think it is 275 if you are subtracting
Kimmy needs to big 48 cookies for cookie exchange party she will be 28 chocolate chip cookies and the rest will be gingerbread cookies G represent how many gingerbread cookies Kimmy needs to bake which equation models the problem? G-28=48 or 28+g=48
Answer:
28+ 20 = 48 because 48 take away 28 equals 20. so g is 20
Can someone help me with this? Linear equation
Answer:
hope it helps
Step-by-step explanation:
x+2=6
3x=10
6+3x=22
5-3x=15
3+x=6y I'm sure about this one
5+x=y/4=23
if 7y + 42 <14 then which among the following is true
Answer:
[tex]y<-4[/tex]
Step-by-step explanation:
Given
[tex]7y + 42 <14[/tex]
Required
Determine the true statement
Options are not given; but, the question can still be attempted.
[tex]7y + 42 <14[/tex]
Collect Like Terms
[tex]7y < 14 -42[/tex]
[tex]7y < -28[/tex]
Divide through by 7
[tex]\frac{7y}{7} < -\frac{28}{7}[/tex]
[tex]y<-4[/tex] -- This is true
What is (7-2)^2+3/ 1/6
( / ) this means divide and (^) that means to the power
Answer:
ewannnnnnnnnnnnnn
Step-by-step explanation:
d q den alam d pa namin pinagaaralan yan, xenxia na godbless
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AADCH ADEP
Check all that apply
A. LA
B. MAS
C. HL
D. HA
E. SAS
F. LL
D. HA
1234567890oplkjhgrewsertyuiopoiuytr
Answer:
Step-by-step explanation:
Its
D and E
HELP ME !!!!?? Brainliest if right
Solve for x: 3 < x + 3 < 6
6 < x < 9
6 > x > 9
0 < x < 3
0 > x > 3
Answer:
Subtract - 3 in each term
3 - 3 < x+3 - 3 < 6- 3
0 < x < 3
What is the area of the real object that the scale drawing models?
Answer:
90 cm²
Step-by-step explanation:
since the ratio is 1:6 for every one little box the bigger box increases 6 times.
so 15·6= 90 cm²
Answer:
D. 90 square cm
Pls help me ASAP thank you
The answer to your question was..:
24.5
It is 100% correct, and I hope you get it right! :D
(Love your username! >:3)
1 and 3/16 - 7/8????
Answer:
0.3125
Step-by-step explanation:
Answer:
5/16 or 0.3125
Step-by-step explanation: