Answer:
[tex]V=2197\ cm^3[/tex]
Step-by-step explanation:
Surface Area and Volume of a Cube
Given a cube of side length a, the surface area is:
[tex]A = 6a^2[/tex]
The volume is calculated as:
[tex]V=a^3[/tex]
It's given the surface area of a cube:
[tex]A=1014\ cm^2[/tex]
We can find the side length a by solving for a:
[tex]\displaystyle a=\sqrt{\frac{A}{6}}[/tex]
[tex]\displaystyle a=\sqrt{\frac{1014}{6}}[/tex]
[tex]\displaystyle a=\sqrt{169}[/tex]
a = 13 cm
Now compute the volume:
[tex]V=13^3[/tex]
[tex]\boxed{V=2197\ cm^3}[/tex]
Answer: a) 2197 cm^3
x% of 31 is 3.317, 4,407 is 39% of y
Answer:
x=10.7, y=11300
Step-by-step explanation:
x%of 31 = 3.317
x/100×31=3.317
31x/100=3.317
31x= 3.317×100
x= 3.317 ×100/31
x =10.7
4407= 39% of y
4407= 39/100 × y
4407 =39y/100
4407×100=39y
4407 × 100/39=y
11300=y
Find the value of 49/50 ÷ 7/6 using keep change filp write in simplest form
Answer:
Exact Form:
21/25
Decimal Form:
0.84
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
a ferry boat leaves the dock once per hour your waiting time for the next ferry will follow a uniform distribution from 0 to 60 minutes
Pls help! Brainliest for first correct answer!
Answer and Step-by-step explanation:
Triangle CAM is congruent to triangle IAM by the SAS postulate (Side angle Side.
This is because the midpoint is congruent with itself, and since it is midpoint, it forms right angle, making the angle part, and since its also the midpoint, it splits Ci in half, making CM congruent to CI
Total of three numbers is 45.5 two of them are equal the third one is half of other two what are the three numbers
Answer:
im taking a nap
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST ANSWER PLUS 50 POINTS!
Find the point below that lies on the line y- 5 = 7(x-6).
O A. (4,-3)
B. (3,-1)
C. (6,5)
O D. (5,6)
O E. (1,-5)
Answer:
The answer is C
Step-by-step explanation:
Answer:
the answer is c sorry
Step-by-step explanation:
You spin the spinner and flip a coin. Find the probability of the compound event. The probility of spinning one, and landing on heads is:
Answer:
You have to specify the question more. There's not enough information. Like how many numbers does the spinner have? I'll help if you could specify it more
Step-by-step explanation:
Answer:
Multiply 1/2 by 1/5 and you get 1/10
Step-by-step explanation:
Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3,100. Assume that the standard deviation is $1,400.
Required:
a. What is the z-score for a backyard structure costing $2300?
b. What is the z-score for a backyard structure costing $4900?
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier? Explain.
Answer:
a) The z-score for a backyard structure costing $2300 is -0.57.
b) The z-score for a backyard structure costing $4900 is 1.29
c) A backyard structure costing $2300 costs 0.57 standard deviations below the mean, while a backyard structure costing $4900 costs 1.29 standard deviations above the mean. Since both are within 2 standard deviations of the mean, none is an outlier.
d) Since this combination costs more than 2 standard deviations from the mean, yes, it should be considered an outlier.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
If the z-score is more than two standard deviations from the mean(lesser than -2 or more than 2), the score X is considered an outlier.
In this question, we have that:
[tex]\mu = 3100, \sigma = 1400[/tex]
a. What is the z-score for a backyard structure costing $2300?
We have to find Z when [tex]X = 2300[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2300 - 3100}{1400}[/tex]
[tex]Z = -0.57[/tex]
The z-score for a backyard structure costing $2300 is -0.57.
b. What is the z-score for a backyard structure costing $4900?
We have to find Z when [tex]X = 2300[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4900 - 3100}{1400}[/tex]
[tex]Z = 1.29[/tex]
The z-score for a backyard structure costing $4900 is 1.29
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
A backyard structure costing $2300 costs 0.57 standard deviations below the mean, while a backyard structure costing $4900 costs 1.29 standard deviations above the mean. Since both are within 2 standard deviations of the mean, none is an outlier.
d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier?
We have to find the z-score when X = 13000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13000 - 3100}{1400}[/tex]
[tex]Z = 7.07[/tex]
Since this combination costs more than 2 standard deviations from the mean, yes, it should be considered an outlier.
The area of the parallelogram below is ____ square meters.
Answer:
45 cm2
Step-by-step explanation:
your welcome I guess?
im doing the same test btw
EDIT: i finished my test this answer is wrong. pls do search for a different answer. because mine is wrong.
aight man can someone help me lol
Answer: 11/24
Step-by-step explanation:
whenever u see this — (
it means the opposite of. so the opposite of -5/8 is +5/8.
-1/6 + 5/8 = 11/24
Find the value of x. Then find the measure of each labeled angle.
Choose all of the numbers that make the statement true
Answer:
i'm pretty sure that the answer is B. 3/4
Step-by-step explanation:
3/4 X 2/3=1/2=0.5
2/3= 0.666666667
=> 1/2 (0.5) < 2/3 (0.6667)
=> 3/4 X 2/3 < 2/3
Jonny makes $15 per hour working at Target. He gets a bonus
at the end of the month for $85. This month, he made a total of $685.
Write an equation to show how many hours he worked. *
Step-by-step explanation:
he get one hour=15$
he get bonus end of the month=85$
total 685$- bonus 85$=600$600$÷one hour 15$= 40 hourswhy do you think that slowing down is sometimes called deceleration instead of acceleration?
Answer:
The "de" part means oppsite to whats behind it I think
Step-by-step explanation:
Answer:
Because acceleration means to gradually speed up, while deceleration means to gradually slow down.
In the same circle or in congruent circles:
Congruent central angles determine, arcs
Congruent central angles determine blank
arcs,
Options. Congruent minor
Distinct minor
Equidistant
Infinitely many
Three
Answer:
congruent minor
Step-by-step explanation:
two congruent circle are corresponding minor
Please help me with my homework!
Also, I choose B randomly, but that doesn't mean it's correct because it's green, it turns green for all answers. So, please don't think its B because it turned green.
Answer:
d, 6 units
Step-by-step explanation:
its 6 units im pretty sure. hope this helped
Factor completely. 9 x 2 + 6 x + 1
Answer:24
Step-by-step explanation:
Simplify
4(1 + 9x) thank you
Answer:
4+36x
Step-by-step explanation:
you multiply the number on the outside of the parentheses with the numbers in the inside of the parentheses.
4 times 1 = 4
4 times 9x = 36x
36x+4
If a pound of turkey costs $0.82, how much will n pounds cost?
If -x - 3y = -8 and - 7x + 5y = 1 are true equations, what would be the
value of 6x – 8y?
Triangle PQR has vertices P(-2,8), 0(2,4), and R(4.6). Which best describes triangle PQR?
a right triangle with PQ QR
a right triangle with PQ PR
an isosceles triangle with PQ=QR
an isosceles triangle with PQ=PR
Answer:an icosceles triangle with pq qr
Step-by-step explanation:
y = -1X + 9
Use the equation to predict the number of visits per week to a coffee shop that is 3 blocks away.
Answer:
Step-by-step explanation:
It is a pity that we can't see the name of the units on the y axis. I sound like a grumpy old man (which I am), but the answer might be easy enough. Follow the line upwards from x=3 to the best fitting line. Then go left until you hit the y axis.
All other things being equal, you should get 6. I'm not positive about this because the units are differently spaced along each axis. But I do think you have the right equation y = -x + 9
the history museum is hosting a special exhibition on history of flight. The admission ticket for each adult cost $5 and the admission ticket for each child costs $2. On the opening day of the exhibition, 50 tickets were sold for a total of $240. How many adults visited the special exhibition?
Write an inequality for the statement. The sum of a number and nine is less than thirty.
Answer:
x + 9 < 30
"a number" is x and it's the sum (addition) of that and 9 which is less (<) than 30
WORTH 67 POINTS!! PLEASE HELP QUICK!!
A.
B.
C.
D.
Step-by-step explanation:
When m > -3.1, the line should extend towards the right and the point at 3.1 should be an empty circle. (as m = 3.1 is not included in the solution set)
Hence the answer is Option D.
P.S. The reason why A is wrong is because the number line is wrongly labelled. -3.3, -3.2 and -3.1 are all less than -3 and should be on the left of the number line.
Rewrite as a simplified fraction. 0.51 = ?
Answer:
51/100
Step-by-step explanation:
Use the Distributive Property to find 13×612.
Answer:
(612 x 10) + (612 x 3) = 6120 + 1836= 7956
Step-by-step explanation:
you are a city planner and I have been asked to redesign a park . Currently the park is 500 feet long and 300 feet wide. Q1) calculate the scale factor of the drawing. Q2) The city would like sidewalks placed on the diagonals of the park. How long will the sidewalks be in the scale drawing? Q3) The diagonals meet at a central fountain(point g) they would like to add a playground that is equidistant from the fountain and corner C. At which coordinate with the center of the playground be located? Q4) The city would like a running trail through the park perpendicular to sidewalk AC. What would the slope of the trail be? Q5) what is the equation of line BD in point slope form ? Please help me ASAP.
Answer:
Q1 5:3
Step-by-step explanation:
500 / 100 = 5
300 / 100 = 3
500:300 simplified to 5:3
Plssss helppppp I need this for my homework
Answer:
The correct answer is,
[tex]2 \frac{15}{28} [/tex]
I'm 100000000% sure.
Answer:
First divide the 1 and 5 then 4 and 7 then 5 and 2
Are these scalene triangles similar?