What is the surface area of the right prism below? A 432 sq units B. 448 sq units C. 480 sq units D. 400 sq units
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D. 400 sq units
ThanksHope it helpsThe surface area of the right prism given below is 432 square units.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given a right prism.
The right prism consists of three rectangular faces and two triangular faces.
Area of a triangular face = 1/2 × 8 × 6 = 24
Area of two triangular faces = 2 × 24 = 48 square units
Area of rectangular faces = (10 × 16) + (8 × 16) + (6 × 16)
= 384 square units
Total area of the prism = 48 square units + 384 square units
= 432 square units
Hence the total area of the prism is 432 square units.
Learn more about Surface Area here :
https://brainly.com/question/29298005
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At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality.
500 − 30x ≥ 200
−500 −500
−30x ≥ −300
x ≥ 10
Review Jamie’s work. What was her error?
Her error was that she misplaced the numbers
-30x ≥ -300
its supose
to be -30x ≥ 200
Answer:
Jamie should have reversed the inequality when using the division property of inequality.
Step-by-step explanation:
Find the median of the dot plot below 5 6 7 8 9 10 11 12 13
Answer:
The median is 9
Step-by-step explanation:
Answer:
Hey love! Answer: 9
Step-by-step explanation:
these are the numbers 5 6 7 8 (9) 10 11 12 13
the median is simply just the one in the middle so this one is 9 because it has 4 numbers in front and 4 numbers after
Hope this helps!
Which choice is the slope-intercept equation of the line shown below?
(1,2)
(0, -1)
A. y = 3x - 1
B. y = 2x-1
C. y = 2x + 1
D. y = 3x
Answer:
C is my answer
Step-by-step explanation:
1.A woman is flying a kite. If she has 80 feet of string out and the kite is 55 feet up in the air,
what is the kite's angle of inclination?
Answer:
25 feet
Step-by-step explanation:
Dan bought 20 bunches of seedless green grapes for $48. How many bunches can Kali buy if she has $12?
5
29
4
6
Answer:
48/20=2.4
12/2.4=5
Step-by-step explanation:
Kai can buy 5 bunches of grapes if she has $12.
Answer:
It's 29.
Step-by-step explanation:
48/20=2.4
12x2.4=28.8
Round up to 29.
What is the answer to this
Answer:
5 f
Re-order terms so that constants are on the left
. 5
5 f
solution
5 f
Please help. 25 points.
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α=0.02, can you reject the company's claim? Complete parts (a) through (e).
Answer:
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
Step-by-step explanation:
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim.
At the null hypothesis, you test that the mean caffeine content is of 35 milligrams, that is:
[tex]H_o: \mu = 35[/tex]
And at the alternate hypothesis, you test if the content is different from 35, so:
[tex]H_a: \mu \neq 35[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
35 is tested at the null hypothesis:
This means that [tex]\mu = 35[/tex]
During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams.
This means that [tex]n = 30, X = 36.8, \sigma = 7.3[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{36.8 - 35}{\frac{7.3}{\sqrt{30}}}[/tex]
[tex]z = 1.35[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of the mean caffeine content differing from the mean by at least 36.8 - 35 = 1.8, which is P(|z| > 1.35), which is 2 multiplied by the pvalue of z = -1.35.
Looking at the z = -1.35 has a pvalue of 0.0885
2*0.0885 = 0.177
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
As reported in Trends in Television, the proportion of US households who have at least one VCR is 0.592. If 8 households are selected at random, without replacement, from all US households, what is the (approximate) probability that the number having at least one VCR is exactly 4. Be sure to use many decimal places in your calculations (at least 4), but report your answer to three decimal places.
Answer:
0.23825
Step-by-step explanation:
Given :
p = 0.592 ; number of trials, n = 8
x = 4 ; q = 1 - p = 1 - 0.592 = 0.408
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 4) = 8C4 * 0.592^4 * 0.408^4
P(x = 4) = 70 * 0.592^4 * 0.408^4
P(x = 4) = 0.23825
Help me please ( on the image )
Answer:
[tex]\frac{\pi}{3}[/tex] radians
Step-by-step explanation:
Number of hours on a clock = 12
Since, measure of a circle at the center = 360°
Measure of central angle formed by the arc between each number (representing hours) = [tex]\frac{360}{12}[/tex]
= 30°
Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°
= 120°
Therefore, angle measure in radians = [tex]\frac{\pi }{360}\times (120^0)[/tex]
= [tex]\frac{\pi }{3}[/tex]
Angle formed by the hands of the clock at 8:00 = [tex]\frac{\pi}{3}[/tex] radians
Irene purchased some earrings that regularly cost $55 for a friend's birthday. Irene used a "20% Off"
coupon.
How much did Irene pay for the earrings?
Answer:
44 dollars without tax so the earrings were 11 dollars off
app 19.study
Tools
Tools
Probability
Jacob performed an experiment with a weighted die, numbered 1 to 6. He rolled the die 125 times and recorded the results.
Complete the table below.
0.232
37
24
0.176
18
0.048
0.104
22
Result of Roll
Frequency
Experimental
Probability
1
2
13
3
0.144
4
29
5
0.296
6
Reset
Submit
Answer:
[tex]1 \to 22 \to 0.176[/tex]
[tex]2 \to 13 \to 0.104[/tex]
[tex]3 \to 18 \to 0.144[/tex]
[tex]4 \to 29 \to 0.232[/tex]
[tex]5 \to 37 \to 0.296[/tex]
[tex]6 \to 6 \to 0.048[/tex]
Step-by-step explanation:
Given
[tex]n = 125[/tex]
See attachment for proper table
Required
Complete the table
Experimental probability is calculated as:
[tex]Pr = \frac{Frequency}{n}[/tex]
We use the above formula when the frequency is known.
For result of roll 2, 4 and 6
The frequencies are 13, 29 and 6, respectively
So, we have:
[tex]Pr(2) = \frac{13}{125} = 0.104[/tex]
[tex]Pr(4) = \frac{29}{125} = 0.232[/tex]
[tex]Pr(6) = \frac{6}{125} = 0.048[/tex]
When the frequency is to be calculated, we use:
[tex]Pr = \frac{Frequency}{n}[/tex]
[tex]Frequency = n * Pr[/tex]
For result of roll 3 and 5
The probabilities are 0.144 and 0.296, respectively
So, we have:
[tex]Frequency(3) = 125 * 0.144 = 18[/tex]
[tex]Frequency(5) = 125 * 0.296 = 37[/tex]
For roll of 1 where the frequency and the probability are not known, we use:
[tex]Total \ Frequency = 125[/tex]
So:
Frequency(1) added to others must equal 125
This gives:
[tex]Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125[/tex]
[tex]Frequency(1) + 103 = 125[/tex]
Collect like terms
[tex]Frequency(1) =- 103 + 125[/tex]
[tex]Frequency(1) =22[/tex]
The probability is then calculated as:
[tex]Pr(1) = \frac{22}{125}[/tex]
[tex]Pr(1) = 0.176[/tex]
So, the complete table is:
[tex]1 \to 22 \to 0.176[/tex]
[tex]2 \to 13 \to 0.104[/tex]
[tex]3 \to 18 \to 0.144[/tex]
[tex]4 \to 29 \to 0.232[/tex]
[tex]5 \to 37 \to 0.296[/tex]
[tex]6 \to 6 \to 0.048[/tex]
Explain, then show, how to prove that g(x) and g^(-1) (x) are inverse functions.
Answer:
Where is the question
Step-by-step explanation:
Show your full solution
1. How much larger is the pizza in a circular pan with a 14-inch diameter than a pizza made in square pan with sides measuring 14 inches?
2. A photograph measuring 10 cm by 4 cm is mounted on a rectangular cardboard, to leaving a margin of 3 cm all around. What is the area of a photograph?
Answer:
1.the square pan is larger by 12 inches
40 cm^2
Step-by-step explanation:
The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle
perimeter of a square = 4 x length
14 x 4 = 56 inches
Circumference of a circle = πD = (22/7) x 14 = 44 inches
Difference in size = 56 - 44 = 12 inches
Area of a rectangle = length x width
10 x 4 - 40 cm^2
Which point gives the vertex of f(x) = - x2 + 4x - 3?
A) (2,-1)
B) (-2,-13)
C) (2,1)
D) (2,-13)
Answer:
(2,1)
Step-by-step explanation:
f(x) = - x^2 + 4x - 3
Factor out the negative
f(x) = - (x^2 - 4x + 3)
Factor
f(x) = -(x-3) (x-1)
The zeros are at
0 = -(x-3) (x-1)
x-3 =0 x-1 =0
x=3 x=1
We know the vertex is 1/2 way between the zeros
(3+1)/2 = 4/2 =2
The x coordinate of the vertex is 2
Substitute x=2 into the equation
f(2) = -(2^2-4(2) +3)
= -(4-8+3)
= -(-1)
= 1
The vertex is (2,1)
if f(x)= 3x+16 what is f(2)
Answer:
22
Step-by-step explanation:
I've been asking since yesterday :(
Candace is designing a rectangular garden. The garden's diagonal must be 37.7 feet, and the ratio between the garden's base and height must be 12:5. Find the length of the garden's base and height. The garden's base is feet and its height is
Answer:
Step-by-step explanation:
let the base=12x
and height=5x
(12x)²+(5x)²=37.7²
144x²+25x²=37.7²
169x²=37.7²
(13x)²=37.7²
13x=37.7
x=37.7/13=2.9
base=12×2.9=34.8 ft
height=5×2.9=14.5 ft
yvonne is 3 years younger than her sister.the sum of thier ages is 25 years.
Answer:
mk?
Step-by-step explanation:
What is the answer to this problem?
Answer:
Surface area = 24in
Step-by-step explanation:
I think its 6in x 4in
so like since the green cylinder is 6in i think you multiply it with the purple (sorry if I’m wrong)
does the graph of this equation widen or narrow from the parent function? g(x)=3/4(x-5)^2+12
9514 1404 393
Answer:
widen
Step-by-step explanation:
The vertical scale factor is 3/4, so the vertical extent is shortened at a given x-value distance from the axis of symmetry. That will give the appearance of making the parabola (slightly) wider.
Answer:
Widen is the answer.Step-by-step explanation:
#CarryOnLearningThe waiting time W for accessing one record from a computer database is a random variable uniformly distributed between 0 and 28 milliseconds. The read time R for moving the information from the disk to the main memory is 7 milliseconds. The random variable X milliseconds is the total access time (waiting time + read time) to get one block of information from the disk. Before performing a certain task, the computer must access 6 different blocks of information from the disk. (Access times for different blocks are independent of one another.). Compute the followings:
a. E[X]
b. Vae[X]
c. E[A]
Solution :
Let
Waiting time for accessing one record = W
Read time for moving the information = R
Total time for accessing to get one block of information = X
So, the random variable X is defined as :
X = W + R
= W + 7
a). Calculating E(X)
E(X) = E(W+7)
= E(W) + 7
[tex]$=\int_{0}^{28}\frac{1}{28-0}w dw +7$[/tex]
[tex]$=\frac{1}{28}\int_{0}^{28}w dw +7$[/tex]
[tex]$=\frac{1}{28}\left[\frac{w^2}{2}\right]_0^{28}+7$[/tex]
[tex]$=\frac{1}{56}\left[28^2\right]+7$[/tex]
[tex]$=\frac{28}{2}+7$[/tex]
= 14 + 7
= 21
b). Calculating Var(X)
V(X) = V(W+7)
= V(W)+0
= V(W)
= [tex]$E(W^2)-[E(W)]^2$[/tex]
[tex]$=\int_0^{28}\frac{1}{28}w^2 dw-[14]^2$[/tex]
[tex]$=\frac{1}{28}\left[\frac{w^3}{3}\right]_0^{28}-196$[/tex]
[tex]$=\frac{1}{28\times 3}\times 28^3-196$[/tex]
[tex]$=\frac{28\times 28}{3}-196$[/tex]
= 65.33
c). Considering A is the random variable that can be defined as follows:
A = 6(W+7)
=6W + 42
So calculating E(A)
E(A) = E(6W + 42)
= E(6W) +42
= 6E(W) + 42
= 6(14) + 42
= 84 + 42
= 126
Please help me with this real quick
Answer: 7.5 miles
Step-by-step explanation:
think of it as a triangle; the bold line is the hypotenuse, or x.
8 |\ x
|_\ it's not a good triangle but you get the point
6
and then get out pythagorean theorem: a^2+b^2=c^2
put the numbers in: 8^2 + 6^2 = x^2
do some math:
64+36=x^2
100=x^2 (and then find square root)
10=x
BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5
Explain how you found your answer
Answer:
29°
Step-by-step explanation:
151° + a=180°
We know the sum of angles in a straight line is 180°
a= 180°-151°
The sign changed as it changed sides
a= 29°
Helppppppppppppppppppppp
An aquarium owns 5 identical tanks. All together, the tanks can hold 86 gallons of water. How much water can each tank hold?
All tanks together =
Answer: 17.2 for each tank
Ms. Clark is building a patio that is 4 yards long and 3 yards wide. She has enough bricks to cover an area of 14 square yards. Does Ms. Clark have enough bricks to build the patio? Explain.
Answer:
DONT CLICK THE LINK!!!! IT IS A BOT. THEY WILL. HACK.
Step-by-step explanation:
Given, we know that she has 14 bricks.
We also know that the patio is 4 yards long and 3 yards wide. If we multiply those two numbers together we get 12.
So, if we do the math 14-12=2 bricks left over.
Therefore, she will have enough bricks to build the patio.
The total cost of attending the movies, y, is directly proportional
with the number of tickets purchased, x. If it costs a family of four
$38.00 to attend the movies, what is the slope of this
relationship?
Answer:
The slope should be 34.00.
Step-by-step explanation:
which equation represents a line that passes through (5,4) with a slope of 2/5
Answer:
y = 2/5x +2
Step-by-step explanation:
y - 4 = 2/5(x -5)
y-4 = 2/5x -2
y = 2/5x +2
Kitchen countertops can be
measured in millimeters.
How long is 1.50 m in mm?
Answer:
1500mm
Step-by-step explanation:
Multiply the length by 1000
therefore, 1.5×1000