Answer:
152
Step-by-step explanation:
Hello there!
The prism shown is a triangular prism
There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one
Formula: SA = bh + L(s1 + s2 + s3) (found in the image)
b = base length
h = height
L = length
s1 = (same thing as the base length)
s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)
The triangular prism has the following dimensions
b = 6
h = 4
L = 8
s2 and s3 = 5
Now that we have identified each dimension we plug in the values into the formula
SA = 6*4 + 8(6+5+5)
6*4=24
8*6=48
8*5=40
40*2=80
80+48=128
128 + 24 = 152 so the surface area of the triangular prism is 152 cm²
The mean of ten numbers is 13. What eleventh number, if included with the original numbers, would result in a mean of 12?
Answer:
2
Step-by-step explanation:
To find the mean, you divide the number you get from adding all the numbers by the number of numbers. In this case, we know the mean and the number of numbers but don't know the number you get from adding all the numbers. So, we have to do the reverse operation meaning we have to multiply 13 and 10 together which would equal 130.
Now, we do the same thing with 11 and 12, we multiply! 11 x 12 = 132.
130 + 2 = 132, meaning the answer is 2.
You're welcome!
The eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2
Formula for mean is;
Mean = Sum of numbers/sample size
We are given;
Mean = 13
Sample size = 10
Thus, sum of numbers = 13 × 10 = 130
Now, we want to add an eleventh number so that the mean will be 12.
Thus, n = 11
12 = (130 + x)/11
Cross multiply to get;
12 * 11 = 130 + x
x = 132 - 130
x = 2
Thus, the eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2
Read more at; https://brainly.com/question/6995725
solve the system of linear equations by elimination. 6x-4y=18 3x+2y=-3
Answer:
y = -3
x = 1
Step-by-step explanation:
6x-4y=18
3x+2y=-3, so 3x = -2y - 3, then x = (-2y - 3)/3
substitute for x:
6((-2y - 3)/3) - 4y = 18
2(-2y - 3) - 4y = 18
-4y - 6 - 4y = 18
-8y - 6 = 18
-8y = 24
y = -3
x = (-2(-3) -3)/3 = 1
Please please help please
Answer:
Greater Than [The second choice]
Step-by-step explanation:
What is the name for an upward trend for an exponential function?
Exponential Growth
Scientific Notation
Growth-Decay Notation
Exponential Decay
Answer:
Step-by-step explanation:
Exponential growth
Estimate 12.59 _ 7.68 to the nearest whole number
Answer:
13_8
Step-by-step explanation:
if the first number in the decimal is 5 or up then you round up if its 4 or less you round down meaning it would be 13 and 8
ANSWER ASAP! NO SCAM LINKS OR REPORTED.
Answer:
d
Step-by-step explanation:
it would be a parabola not linear
I need help ! We are doing log lines
Answer:
exponent
Step-by-step explanation:
To get log2(4)=2
so 2 to the power of 2 is 4
4 is the number between brackets in log
another example
log2(8)=3
2 to the power of 3 is 8
aced or higher please hellp i beg :C
Answer:
A: Find the area of the outer trapezoid and then subtract the area of the inner trapezoid
B: 15 square units
Step-by-step explanation:
A:
Find the area of the outer trapezoid and then subtract the area of the inner trapezoid
(because if the inner trapezoid wasn't there and you were looking for the shaded region, you'd find the area of the outer trapezoid. since you have to take away the area the inner trapezoid takes up, the shaded region = area of outer trapezoid - area of inner trapezoid)
B
The area of a trapezoid is ((a+b)/2)h, where a is the top or the trapezoid, b is the bottom and h is the height.
The top of the outer trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the outer trapezoid ranges from 2 to 8, so b=8-2=6. The height of the outer trapezoid ranges from 2 to 8, so h=8-2=6.
The area of the outer trapezoid = ((a+b)/2)h = ((2+6)/2)(6) = 4(6) = 24
The top of the inner trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the inner trapezoid ranges from 3 to 7, so b=7-3=4. The height of the inner trapezoid ranges from 3 to 6, so h=6-3=3.
The area of the inner trapezoid = ((a+b)/2)h = ((2+4)/2)(3) = 3(3) = 9
The are of the shaded region = the area of the outer trapezoid - the area of the inner trapezoid = 24 - 9 = 15 square units
Solve: 2x-3 = 5(x + 6)
Answer:
2x - 3 = 5(x + 6)
2x - 3 = 5x + 30
-33 = 3x
x = -11
Answer:
x= -11
Step-by-step explanation:
1. Expand and distribute.
2x - 3 = 5x + 30
2. Subtract 2x from both sides.
2x - 3 = 5x + 30
-2x -2x
---------------------
-3 = 3x + 30
4 Subtract 30 from both sides.
-3 = 3x + 30
-30 -30
---------------------
-33 = 3x
6. Divide both sides by 33.
-33/3 = 3x/3
-11 = x
7. Switch sides
x = -11
solve for x. 2x+17+3x = 4+3x+3
Answer:
x = -5
Step-by-step explanation:
2x + 17 + 3x = 4 + 3x + 3
5x + 17 = 3x + 7
5x - 3x = 7 - 17
2x = -10
x = -5
Step-by-step explanation:
5x+17=3x+7
5x-3x=-17+7
2x=-10
x=-5
*can you help me back please
A car rental company is interested in the amount of time its vehicles are out of operation for repair work. A random sample of 21 cars showed that, over the past year, the numbers of days that each of these cars had been inoperative were as follows: 15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14 Assuming that the population is normally distributed, construct a 95% confidence interval for the mean number of days that vehicles in the company's fleet are out of operation.
Answer:
(10.891; 15.869)
Step-by-step explanation:
Given the data::
15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14
The confidence interval is obtained using the relation :
Mean ± margin of error
Margin of Error = Zcritical * s/sqrt(n)
Using a calculator, the mean value of the data and standard deviation above is :
Mean = Σx / n ; n = sample size
Mean, xbar = 281 / 21
Mean = 13.38
Standard deviation , s = sqrt[Σ(X - xbar)²/ n-1]
Standard deviation, s = 5.82
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 95% confidence level = 1.96
Margin of Error = 1.96 * 5.82/sqrt(21) = 2.489
Confidence interval :
Mean ± margin of error
13.38 ± 2.489
Lower boundary = (13.38 - 2.489) = 10.891
Upper boundary = (13.38 + 2.489) = 15.869
(10.891; 15.869)
Solve for x, and angle c
9514 1404 393
Answer:
x = 12.75
∠C = 51.75°
Step-by-step explanation:
The two marked angles are complementary, so ...
(5x -12) +(3x) = 90
8x = 102
x = 102/8
x = 12.75
__
C = (5x -12)° = (5(12.75) -12)°
∠C = 51.75°
__
Check
E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should
A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours
Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.
Therefore, 6 Hours/900 becomes our quotient
Again, since the denominator is larger we invert it to 900 calls/6 Hours
To get a demand of 150 calls per hour.
We need to be able to handle 150 calls per hour.
So how Many Call Representatives are needed?
Again, our historical data tells us that each person can handle 10 calls an hour.
Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!
Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.
A computer randomly puts a point inside the rectangle. What is the probability that the point lands in triangle T?
Answer:
87.5%
Step-by-step explanation:
The area of the entire rectangle is 8 by 6,
8x6=48 so the area is 48 units^2.
The area of the triangle is A=1/2bh
A=1/2(2)(6)
A=1(6)
A=6 units^2
6/48=0.125
0.125=12.5%
You need to find the percent it will not land in the triangle, so subtract 12.5 from 100.
100-12.5=87.5
There is an 87.5% chance it will not land in the triangle
Il means
* is equal to
* is parallel to
*lines
* therefore
* none of these
1ч (х – 2) =36 times-Ч2
Answer:
x = -7
Step-by-step explanation:
14(x - 2) = 3(-42)
14x - 28 = -126
14x = -126 + 28
14x = -98
x = -7
What’s the answer and work for this? Someone please telllllllll meeee!!!!
Answer: 25
Step-by-step explanation: The median is the average of the middle two numbers and if the median will be 17.5 then the sum of the middle numbers will be 35, and when we arrange the numbers in the least to greatest order we realize that 10 will be one of the middle two numbers when a number is added, and so the other number must be 25. Hope this helped!
Does anyone know this please help
Answer:
b.12/25
c.4/15
d.8/15
e.6/12
2a.15/24=5/8
b.20/40=1/2
write down all prime numbers between 20 and 40
Answer:
23,29,31,37
Step-by-step explanation:
PLZ HELP!!!!! Find the slope of each line that passes through the given points. (−2, 1) and (6, −5)
Answer:
m = -3/4
Step-by-step explanation:
-5 - 1 / 6 - -2 = -6/8 = -3/4
Answer:
Step-by-step explanation:
(-5 - 1)/(6 + 2)= -6/8 = -3/4
What’s the correct answer for this question?
ANSWER
l
Or
Or
EXPLANATION
The given line has slope,
and
We can find the equation in the point slope form, which is given by,
We substitute the point and slope to get,
We can also simplify further to get,
We make y the subject to get,
This is called the slope intercept form.
We could also write in standard form to get
Or
Which are the points labeled to show the solution to the system of the equations?
Answer:
C
Step-by-step explanation:
It is where the two lines intersect, which is the answer
Answer: C
Step-by-step explanation: Point C is where the two lines intersect. This means there is a point where both x's share a value and both y's share a value.
Pls help me complet this
Answer:
P(for) = 5/8
P(against) = 3/10
P(undecided)= 3/40
Step-by-step explanation: Again, find the total number of people Devi surveyed.
40 people got surveyed in total. So P(for) means to find how many people wanted to vote for the mayor. In the table, it says 25 voted for the current mayor. So 25/40. Then we can simplify it to 5/8.
Then find how many people voted against her. 12 people voted against her. 12/40 is 3/10.
Finally, find how many people were indecisive. 3 people were indecisive. 3/40. We cannot simplify it, so leave it like that. Hope this helps.
How to do subtract 1.7 from 3 show your work
HELP DUE IN 2 MINUTESS!!!! PLS HELP
An Urn contains 6 red marbles and 9 white marbles. A marble is drawn and put back into the urn. Both marbles were red. If another marble is drawn, what is the probability of it being white?
Answer:
3/5
Step-by-step explanation:
favorable outcomes/total number of outcomes=probability
Answer:
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
Previous extractions do not influence the probability
110% into simple fraction form
Answer:
11/10 or 1 1/10
Step-by-step explanation:
110%=110/100
Now let's simplify 110/100:
11/10
Hope this helped! :)
Answer:
1 1/10
Step-by-step explanation:
Hope this helps and have a great day!!!!
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gps.agilixbuzz.com/student/1419680971 activity 2381 quiz
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03.08 Debt Practice Test
MA500DLF FINANCIAL APPLICATIONS I-JOHN, A (TEACHER MASTER) / Debt
Joseph
Kisting
All changed
6. Isha has a previous balance of $493 on a credit card with a 16.3% APR compounded monthly. If she made a payment of $50 this month, what is the new balance on her credit
card? (2 points)
O $443.00
O $449.70
O $523.36
O $573.36
Keisha’s basketball game started at 3:30 and ended at 4:47. How much time elapsed during the game?
Answer:
1 hour and 17 min
Step-by-step explanation:
it takes 30 min to get to 4 the another 30 min to get to 4:30 then 17 min to get to 4:47
10 × (1-6) ÷ 5
= ?
The answer is not (-10)
Answer:
It is negative ten-
Step-by-step explanation:
Create an algebraic expression to solve the following problems.
a) Jeff’s cell phone plan charges him $10 per GB with no extra fees. How much will his bill be for 6 GB?
b) Marks cell phone charges him $8 per GB and a monthly fee of $15 how much will his bill be for 10 GB
c) Ricks cell phone plan charges him $5 per GB and a monthly for of $30. How much will his bill be for 2 GB?
PLEASE ANSWER PLEASE
Answer:
Step-by-step explanation:
x is the number of GB
f(x) is the cost in dollars
f(x) = 10x
Bill for 6 GB = f(6) = 60
:::::
f(x) = 8x+15
Bill for 8 GB = f(10) = 95
:::::
f(x) = 5x+30
Bill for 2 GB = f(2) = 40