I don't what form of measurement to use (like grams, cusp, etc.) but I'm pretty sure it'd be cups
I think it's 5/96 or .05208333
So, 5/8 is .625. Dividing that up in throwing it into 12 cupcakes.
When the length of each edge of a cube is increased by 1 cm, the volume is increased by 37 cm3.
What is the length (in centimeters) of each edge of the original cube?
original length =3cm
Answer:
solution given;
let length be x
its
volume be x ³
we have when length is increased by 1cm volume increased by 37cm³ so
(x+1)³=x³+37cm³
x³+1³+3x²+3x=x³+37
3x²+3x-36=0
3(x²+x-12)=0
x²+4x-3x-12=0
x(x+4)-3(x+4)=0
(x+4)(x-3)=0
either
x=-4 rejected
or
x=3cm
The length (in centimeters) of each edge of the original cube will be 3.
How do you calculate the volume of a cube?Assume the side length of the cube under consideration is L units. The volume of the cube is then equal to L³ cubic units.
We have when length is increased by 1 cm volume increased by 37 cm³, so from the given condition the equation formed as;
(L+1)³=L³+37 cm³
Open the bracket and apply the necessary identities;
L³+1³+3L²+3L=L³+37
3L²+3L-36=0
3(x²+x-12)=0
Applying the factorization method;
L²+4L-3L-12=0
L(L+4)-3(L+4)=0
(L+4)(L-3)=0
L=-4 cm (Negative length is not possible.)
L=3cm
Hence,the length (in centimeters) of each edge of the original cube will be 3.
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Imagine the average time to complete a 4-year bachelor degree is actually 4.7 years, based on national data. You collect data on the 68 psychology students who started school during the same semester as you, finding an average time to complete at 4.3 years with a standard deviation of 0.6 years. What would be the effect size associated with a single-sample t test
Answer:
-0.67
Step-by-step explanation:
Given that :
Population mean, μ = 4.7
Sample size, n = 68
Sample mean, M = 4.3
Sample standard deviation, s = 0.6
The effect size, d can be obtained using the relation :
d = (M - μ) / s
d = (4.3 - 4.7) / 0.6
d = - 0.4 / 0.6
d = - 0.66666
d = - 0.67
Hence, effect size associated with a single-sample t test is - 0.67
What is the mean and MAD of this data set
Answer:
Option B will be your answer
Step-by-step explanation:
mean:6 gerbils
MAD:2.29
so its B
hope it helps
have a great day!!
5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicles, the distributions are roughly normal. The means and standard deviations are given by:
Mean Standard Deviation
City MPG 22.37 4.77
Highway MPG 29.09 5.46
a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?
b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
Answer:
a. 0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic
b. 89.06% of cars are likely to have a better city gas mileage than the Continental
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?
For Highway, we have that [tex]\mu = 29.09, \sigma = 5.46[/tex]
This probability is the pvalue of Z when X = 45. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 29.09}{5.46}[/tex]
[tex]Z = 2.91[/tex]
[tex]Z = 2.91[/tex] has a pvalue of 0.9982
1 - 0.9982 = 0.0018
0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic.
b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
City means that [tex]\mu = 22.37, \sigma = 4.37[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 22.37}{4.37}[/tex]
[tex]Z = -1.23[/tex]
[tex]Z = -1.23[/tex] has a pvalue of 0.1094
1 - 0.1094 = 0.8906
0.8906 = 89.06% of cars are likely to have a better city gas mileage than the Continental
find the slope based on the date below
x: -4, 0, 4 8
y: 3, 8 13 18
HELPPP QUICKK PLZZ
Answer:
The slope is [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Slope of a dataset:
The slope of a dataset, having two points, is given by the change in y values divided by the change in x values
In this question:
Two points:
x = 0, y = 8
X = 4, y = 13
The slope is:
[tex]m = \frac{13 - 8}{4 - 0} = \frac{5}{4}[/tex]
The slope is [tex]\frac{5}{4}[/tex]
Hal and Renee play the following game: A bag has 14 tiles in it, , each with a letter from the phrase the probability on it. Hal and Renee take turns drawing a tile, recording the letter, and placing the tile back in the bag. Renee earns a point if she draws a vowel. Hal earns a point if he draws a consonant. They decide that the letter y can be a vowel or a consonant. Which statement best explains whether or not the game is fair?
A) The game is fair because both Hal and Renee will get a point if the letter y is drawn.
B) The game is not fair because the probability of Hal drawing a winning letter is more than the probability of Renee drawing a winning letter.
C) The game is fair because Hal and Renee have the same probability of drawing a winning letter.
D) The game is not fair because the probability of Hal drawing a winning letter is less than the probability of Renee drawing a winning letter.
(SOMEONE PLEASE HELP ME)
Answer:
B
Step-by-step explanation:
There are more consonants in the phrase than vowels so Hal has a better chance of pulling a winning letter. Also, before any tiles have been drawn, Hal has a 9/14 chance of pulling a winning tile while Renee has a 5/14 chance.
Option B is correct.
As given the bag has 14 tiles, each with a letter from the phrase the probability on it.
What is probability?
Probability is nothing but the ratio of number of favorable outcome and total number of outcomes.
Now,
As we know a phrase always consist of vowels and consonants and the number of consonants is always greater than vowels.
Therefore, Hal has better chance of pulling a willing letter. Also before any tiles have been drawn, so Hal has a 9/14 chance of pulling a winning tile while Renee has a 5/14 chance.
Hence, option B is the correct option.
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Mr. Sonny's science class is calculating the average number of blinks per minute. Jan blinks 72 times in 4 minutes. What is her
blinking rate, in blinks per minute?
Answer:
18
Step-by-step explanation:
What is the solution to this system of equations? Show your work. 46 points
Answer:
The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.
Step-by-step explanation:
Isolate x for 12=1/3x: x=36
[y - 36=9]
the solutions to the system of equation is:
y=45 x=36
An apartment complex developer is considering building apartments in College Town, but first wants to do a market study. A sample was selected of monthly rent values ($) for 80 studio apartments in College Town with sample mean of 498.76. (Based on past experience, the developer assumes a known value of s = $65 for the population standard deviation.)
a. Develop a 98% confidence interval for the mean monthly rent for all studio apartments in this city.
b. Suppose the apartment developer wants a 98% confidence interval estimate of the population mean with a margin of error of E = $15. What sample size is needed?
Answer:
a. The 98% confidence interval for the mean monthly rent for all studio apartments in this city is between $481.85 and $515.67
b. A sample size of 102 is needed.
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{65}{\sqrt{80}} = 16.91[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 498.76 - 16.91 = $481.85
The upper end of the interval is the sample mean added to M. So it is 498.76 + 16.91 = $515.67
The 98% confidence interval for the mean monthly rent for all studio apartments in this city is between $481.85 and $515.67
Question b:
This is n for which M = 15. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]15 = 2.327\frac{65}{\sqrt{n}}[/tex]
[tex]15\sqrt{n} = 2.327*65[/tex]
[tex]\sqrt{n} = \frac{2.327*65}{15}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327*65}{15})^2[/tex]
[tex]n = 101.68[/tex]
Rounding up:
A sample size of 102 is needed.
The length of a rectangle is 13 centimeters less than four times its width. Its area is 35 square
centimeters. Find the dimensions of the rectangle.
The width is
and the length is
Answer:
width 5
length 7
Step-by-step explanation:
W * L = 35
L = 4 * W - 13
W * (4W-13) = 35
4 W^2 - 13 W - 35 = 0
delta = 169 + 4*4*35 = 729 = 27^2
W = (13 + 27) / 8 = 5 (its the only solution since 13 - 27 is less than 0 which makes no sense)
L = 4 * 5 - 13 = 7
The length and width of the rectangle are 7 cm and 5 cm respectively.
What is a rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.
Given that, the length of a rectangle is 13 cm less than four times its width. Its area is 35 cm².
We know that, the area of a rectangle = length × width
Let the width of the given rectangle be w,
According to question,
length = 4w - 13
Therefore,
(4w - 13) × w = 35
4w² - 13w = 35
4w² - 13w - 35 = 0
Factorizing, we get,
w = 5 and w = -7/4
Therefore, width = 5
Length = 20 - 13
Length = 7
Hence, the length and width of the rectangle are 7 cm and 5 cm respectively.
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Complete the sentence.
32% of 25 is
I need all the help I can get!
Answer:
8
Step-by-step explanation:
[tex]\frac{y}{25}= \frac{32}{100}[/tex]
y × 100 = 32 × 25
100y = 800
100y ÷ 100 = 800 ÷ 100
y = 8
Here is a formula for most percentage problems.
Find the two numbers . State the smallest number?
Answer:
7
Step-by-step explanation:
x+y=30
x-y=16
2x=14
therefore x=7 and y=23.
the smallest number is 7.
btw jungwoo = best boy
Step-by-step explanation:
Let x be the smallest number
According to the question,
(Let the two numbers be x and y)
x+y=30
= x=30-y
Now,
y-x=16
= y=16+30-y
= 2y=46
= y =23
Also,
x=30-23
= 7
The value of the smallest number is 7
The other number is 23
Vx
Which two figures have the same number of lateral faces?
O sphere and cylinder
O triangular prism and rectangular prism
O rectangular prism and cube
O triangular prism and cylinder
Use the diagram to complete the statements.
The measure of minor arc EF i
The measure of angle DAB is
35.5
.5
71
109
Answer:
EF is 109
DAB is 54.5
Step-by-step explanation:
Applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°What is the Central Angle Theorems?The central angle theorem states that:
Measure of intercepted arc = 1/2(measure of inscribed angle)Measure of central angle = measure of intercepted arcThus:
Measure of minor arc EF = m∠ECF = 109°
m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]
m∠DAB = 54.5°
Therefore, applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°Learn more about central angle theorem on:
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5.81 is 10 times as much as
its 0.581 its pretty self explanatory so im not gonna explain
Plz, help. In the picture below.
Answer:
I don't know sorry
Step-by-step explanation:
The logistics/operations manager of a mail order house purchases two products for resale: king beds (K) and queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each king bed is $300 and for each queen bed is $150. Which of the following is not a feasible purchase combination?
a. 100K - 90Q <= 18,000
b. 90K + 100Q <= 18,000
c. 300K + 90Q <= 18,000
s. 500K + 100Q <= 18,000
e. 100K + 90Q <= 18,000
Answer:
500K + 100Q <= 18,000 ( D )
Step-by-step explanation:
king bed ( K ) requires = 100 cubic feet
Queen bed ( Q ) requires = 90 cubic feet
Total available space = 18,000 cubic feet
Revenue of king size bed = $300
Revenue of queen size bed = $150
Hence the NOT feasible purchase combination
= 500K + 100Q <= 18,000
because 500 of king size bed + 1000 of queen size is > 18,000
Ms.Thompsons english class has 24 students. As a reward for their hard, she would like to give each student 4 pieces of candy since she only has 75 pieces of candy, she will need to buy more.. which of the following equations should she use to find p, the number of pieces she needs to buy (no websites)
Find the percent of change from 32 feet to 79 feet. Round to the nearest tenth, if necessary. Then state whether the percent of change is percent of increase or percent of decrease.
Answer:
71 1/4%
Step-by-step explanation:
I think the change is percentage increase. the method of finding percentage iincrease is increase over percentage increase x 100%
Select two days on which mike ran a total of 6 5/6 miles.
Saturday and sunday.............
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle is 5 cm. Find the area of the quadrilateral
Answer:
60cm^2
Step-by-step explanation:
We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...
K = sr
where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.
K = (12 cm) (5cm) = 60 cm²
_____
A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.
if i have 2 pans of brownies and i give away 1 5/6. How many browniea do i have left? in a fraction?
Answer: Multiply
2 * 1 5/6
Convert 1 5/6 into an improper fraction:
2 * 11/5
Multiply:
22/5
Convert to mixed number:
4 2/5
So 22/5 or 4 2/5 of a pan of brownies was left.
Answer:
1/5
Step-by-step explanation:
What is the solution to this equation?
8x - 5(x - 3) = 18
A. x = 7
B. x = 5
C. x = 11
D. x = 1
SUBMIT
Answer:
D
Step-by-step explanation:
0000 PLEASE ASAP HELPPPPP
Does anyone know what the answer?
Answer:
x = 7
Step-by-step explanation:
Hi,
7x - 7 = 4x + 14
3x - 7 = 14
3x = 21
x = 7
I hope this helps :)
Find the area (in square inches) of an equiangular triangle with a radius of length 6 in.
The area of equiangular triangle with radius 6 inches is 27√3 square inches.
What is equiangular triangle?A triangle with three equal interior angles is called equiangular triangle.
In an equiangular triangle, the measure of each of its interior angle is 60 degrees. Since, all the angles are equal therefore all the side will also be equal.
What is the formula for finding the area of equiangular triangle?The formula for finding the area of equiangular triangle is
[tex]Area = \frac{\sqrt{3} }{4} a^{2}[/tex]
Where,
a is the side length of the triangle.
Let the side length of the equiangular triangle be a.
According to the given question.
We have a equiangular triangle with a radius 6.
Since, the radius of the equilateral triangle or equiangular triangle is given by
Radius = [tex]\frac{a}{\sqrt{3} }[/tex]
⇒ a = 6√3 inches.
Therefore, the area of equiangualr triangle is given by
[tex]Area = \frac{\sqrt{3} }{4} (6\sqrt{3} )^{2}[/tex]
⇒ [tex]Area = \frac{\sqrt{3} }{4} \times 36 \times 3[/tex]
[tex]\implies Area = 27\sqrt{3}[/tex] square inches
Hence, the area of equiangular triangle with radius 6 inches is 27√3 square inches.
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5th grade math. correct answer will be marked brainliest
Answer: C and for the bottom is 3*3/8=9/8=1 1/8
Step-by-step explanation: hoped this helped :)
jackson spent 8.55 for 3 bags of chips.how many bags of chips can he got for $30
Answer:
10
Step-by-step explanation:
URGENT HELP Graph f(x) = 3|x - 5| + 1 (please put picture of the answer graphed)
Answer:
Step-by-step explanation:
I uploaded a picture of the graph, but you can go to the site, Desmos. Just plug in your equation, and you will get the equation graphed.
help please i cant fail this class please help
Answer:
14. x=1, x=−9
x^2 + 8x + 20 = 29
x^2 + 8x + 4^2 = 9 + 4^2
(x + 4)^2 = 25
x + 4 = ± 5
15. x = -1/2, x = -3/2
4x^2+8x+3=0
x = -8 ± √8^2-4x4x3/2x4
x = -8 ± √64-4x4x3/2x4
x = -8 ± √64-16x3/2x4
x = -8 ± √64-48/2x4
x = -8 ± √16/2x4
x = -8 ± √4/2x4
x = -8 ± √4/8
x = -4/8
x = -1/2
x = -12/8
x = -3/2
16. -36
Use the values of a, b, and c to find the discriminant.
17. x=2, x=−2
3x^2 + 5 = 17
3x^2 + 5 - 17 = 0
3x^2 - 12 = 0
x^2 - 4 = 0
(x−2)(x+2)=0
x=2 x=−2
18. x=12 , x=−12
x^2 = 144
x^2 - 144 = 0
(x−12)(x+12)=0
x=12, x=−12
19. x=2√5+3, x=3−2√5
x−3=2√5
x−3=−2√5
x−3−(−3)=2√ 5−(−3)
x−3−(−3)=−2√5−(−3)
x=2√ 5−(−3)
x=−2√5−(−3)
x=2√5+3
x=3-2√5
20. t = -√24-h/4+1, t = √24-h/4+1, h≤24
Word bank:
A) zeroes
B) axis of symmetry
C) y-value of the vertex
Step-by-step explanation:
I hope this helps!