Answer:
Surface area add together all 6 sides = 24+36+108=168m^2
Volume L x W x D = 2 x 6 x 9 = 108 m ^3
Step-by-step explanation:
2 x 6 = 12
12 x 2 = 24 base and top
2 x 9 = 18
2 x 18 = 36 identical pair sides
6 x 9 = 54
2 x 54 = 108 identical pair sides
Surface area add together all 6 sides = 24+36+108=168m^2
Volume L x W x D = 2 x 6 x 9 = 108 m ^3
The distance that students drive to school is best modeled with a skewed right distribution that has a mean of 10 miles and a standard deviation of 2 miles. Suppose a sample of 100 students has been taken and the sample mean distance for the sample is calculated. Describe the shape of the sampling distribution of the sample mean
Answer:
The answer is "Approximately normal".
Step-by-step explanation:
sample size[tex]n=100[/tex]
Sample size [tex]n \geq 30[/tex]
It is because [tex]C \perp T[/tex] the sampling distribution of the sample means is approximately normal.
Jake jogs every day in the neighborhood park. He runs 4 miles on Sunday,
3 miles on Monday, and 5 miles on Tuesday. Find the mean distance
covered by Jake.
4
Hope this helps! :)
______________
What is an equation of the line that passes through the point (-2, -3) and is
parallel to the line 5x + 2y =14?
Answer:
The equation of the parallel line will be y = -2.5x - 8.
Step-by-step explanation:
First things first, let's rearrange the line equation provided into a more standard form:
[tex]5x + 2y = 14[/tex]
[tex]5x - 14 = -2y[/tex]
[tex]\frac{5x - 14}{-2} = y[/tex]
[tex]y = -2.5x + 7[/tex]
Therefore, we can see that this line has a slope (the coefficient preceding x) of -2.5. The parallel line must therefore also have a slope of -2.5.
Now, let us set the y-intercept of the parallel line to be (0, a) (since it must be on the y-axis).
If we factor in all of this, we get the equation:
[tex]\frac{a-(-3)}{0-(-2)} = -2.5[/tex]
Remember, the slope is found by dividing the vertical difference with the horizontal difference.
[tex]a - (-3) = -2.5(0+2)[/tex]
[tex]a + 3 = -5[/tex]
[tex]a = -8[/tex]
Hence, the equation of the parallel line will be y = -2.5x - 8.
Hope this helped!
PLS HELP ASAP! FIND THE VOLUME OF THE GIVEN FIGURE.
Thank you
Answer:
120
Step-by-step explanation:
all you have to do is multiply the length, width, and height.
5x8=40
40x3=120
Hope this help!!!
Have a nice day!!!
What is the answer?
Please help
Answer:
100*
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
The exterior angle is the sum of the opposite interior angles
x = 60+40
x = 100
A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.
Answer:
20%
Step-by-step explanation:
vrrggrgrhreah
the height of a tower is 15m more than tiwce the height of a building find the height of the building if tower is 255m tall
Answer: 120m
Step-by-step explanation:
Let the height of the building be represented by x.
Since the height of a tower is 15m more than tiwce the height of a building, the height of the tower will be:
= (2 × x) + 15
= 2x + 15
Since the tower is 255m tall, therefore,
2x + 15 = 255
2x = 255 - 15
2x = 240
x = 240/2
x = 120
The height of the building is 120m
Geometry help pls and thank you :)
What is the area of this triangle?
Enter your answer in the box.
(answer) units²
Answer:
12
Step-by-step explanation:
bh/2
base is 8
height is 3
24/2
12
Answer:
12
Step-by-step explanation:
The formula to find the area of a triangle is the following,
[tex]A=\frac{b*h}{2}[/tex]
Where (b) and (h) are the base and height of the triangle. In this situation, one can see that the base (CB) equals (8) units. One can attain this number by counting the boxes between point (C) and point (B). The height is (3). This number is the distance from the point (A) to the side (CB). Substitute these values into the formula and solve for the area.
[tex]A=\frac{b*h}{2}[/tex]
Substitute,
[tex]A=\frac{8*3}{2}[/tex]
Simplify,
[tex]A=\frac{8*3}{2}\\\\A=\frac{24}{2}\\\\A=12[/tex]
Question 6,7 I needed the answer
Answer:
6.n/4
7.3/4time G or 0.75G
Step-by-step explanation:
6.3m+n/12-m-n/4=3m-3m+n+3n=4n/12=n/4
7.G=0.9a/1.2b G=3/4*a/b
A candle is in the shape of a cylinder. The candle has a diameter of 6 inches and a height of 5 inches What is the volume of the candle? (Use 3.14
A. 94.2 cubic inches
B. 141.3 cubic inches
C. 150.7 cubic inches
D. 188.4 cubic inches
Find the value of the polynomial when x=1 and y=-2
Answer:
the answer is : ................
5
Ex 1: Triangle RST is rotated 90 degrees counterclockwise about the origin, then reflected across the x-axis. Find the coordinates of the image.
Answer:
IIII..I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I..II..II.I.
Step-by-step explanation:
EAS1
Solve this system of equations. Show your work!
12x + 6y = 12
y = x + 15
Answer: The equation has 2 positive integer solutions:
x1 = 0 y1 = 2
x2 = 1 y2 = 0
Step-by-step explanation:
The value of x = -4.334 and y = 10.667.
What is linear equations in two variables?When written as ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not zero, an equation is said to be a linear equation in two variables.
For this kind of equation, the solution is a pair of values, one for x and one for y, which also make the two sides equal.
Given Equations 12x + 6y = 12...….(1)
y = x + 15
y - x = 15...….(2)
divide eq. (1) by 6
(12x + 6y)/6 = 12/6
2x + y = 2
subtract from eq. (2)
y - x - (2x + y) = 15 - 2
-3x = 13
x = -13/3 = -4.334
substitute value of x in eq. (2)
y - (-4.334) = 15
y = 15 - 4.334
y = 10.667
Hence the solution of equations gives x = -4.334 and y = 10.667.
Learn more about linear equations in two variables;
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A collection of 39 coins consists of dimes and nickels. The total value is $2.75. How many dimes and how many nickels are there?
Answer:
23 nickels and 16 dimes
Step-by-step explanation:
16 dimes = 1.60
23 nickels = 1.15
1.60 + 1.15 = 2.75
Determine whether the function is linear or quadratic.
y = (x + 1)(8x - 8) - 8x2
a) Linear
b) Quadratic
Answer:
it's a linear
since when you expand the equation (x+1)(8x-8) the x is equal to zero which is left for y to be the subject
8x²-24= y
6!3! divided by 2!5!
Simplify the answer as much as possible.
Answer:
3/20
Step-by-step explanation:
Set up the quotient:
6!3!
------
2!5!
6! is equivalent to 6*5!, and so we have:
6*5!3! 6*5!3! 6*3*2*1 6
------------ which reduces to ------------- or ------------------- or ------------
2!5! 2!5! 2*5*4*3*2*1 (2)*5*4
3
This final result simplifies further to ---------------
20
Given that A=1/2πrh, make r the subject of the formula?
Answer:
r=1/2πhA
Step-by-step explanation:
..................
Therefore, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex]A=\frac{1}{2}\pi rh[/tex]
So,
[tex]A=\frac{1}{2}\pi rh\\\\r=2A(\frac{1}{\pi h})\\\\r=2A(\pi h)^{-1}[/tex]
Hence, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].
To know more about the equation
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Which of the following statements represents a correct relationship?
300 < 30
547 > 574
20,007 < 20,070
6,050 = 6,060
solve the inequality
2(4 x + 1)< 3 (2 x - 3)
Answer:
[tex]2 (4x + 1) < 3(2x - 3) \\8x + 2 < 6x -9 \\8x - 6x < -9 - 2\\2x < -11\\\\x< - \frac{11}{2}[/tex]
Answer:
x> - 11/2
Step-by-step explanation:
See image below:)
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 3 inches, and a height of 3 1/2
inches. What is the surface area?
Answer:
[tex]Area = 138in^2[/tex]
Step-by-step explanation:
Given
[tex]L = 9; W =3; H =3\frac{1}{2}[/tex]
Required
The surface area
This is calculated as:
[tex]Area = 2(LW + LH + WH)[/tex]
So:
[tex]Area = 2(9*3 + 9*3\frac{1}{2} + 3*3\frac{1}{2})[/tex]
[tex]Area = 2(27 + 31\frac{1}{2} + 10\frac{1}{2})[/tex]
[tex]Area = 2*69[/tex]
[tex]Area = 138in^2[/tex]
What is the slope of the line below?
(-2,4) (5,4)
A. Positive
B. Zero
C. Undefined
D. Negative
Answer:
B
Step-by-step explanation:
the slope is 0
the y intercept is ( 0,4 )
Demonstrate 528 divide by 4 using 10 blocks and the scaffolding method
PLEASE HELP FAST I NEED HELP WITH THIS!
Answer:
Step-by-step explanation:
13. Find the total number of coinsss
8+4+3+1
=16
First pick:
1/16
Second pick:
1/15
So I guess your chances are 1/16+1/15 ?
=31/240
hopefully
14.
add the sockss
3+4+3
= 10
First pick
1/10
Second Pick
1/9
Add them:
19/90
Forgive me if this is wrong
:,)
Simplify the radical completely.
Answer:
D
Step-by-step explanation:
But basically, one by one you try moving the terms out of the radical.
75 is also 25 * 3 and since 25 has a perfect square root of 5 that goes out and 3 stays inside the radical.
x^3 is also x^2 * x and since x^2 has a perfect square root which is just x that goes outside while the remaining x stays inside.
y^9 is also y^8 * y and since we move variables out the radical in twos y^ goes outside the radical and y stays inside alone.
Finally, z is just z it can't be taken out so it stays inside the radical.
Hope that helps!
A furniture delivery truck leaves the store at 8 A.M. It travels 6 miles east, then 4 miles south, then 2 miles west and then 4 miles north.
At the end of this route, how far is the truck from the store?
Answer:
It's 4 miles East from the store.
Step-by-step explanation:
6 miles east - 2 miles west = 4 miles East
Displacement for north and south should cancel out since they are equal to each other.
In January 2013, a country's first-class mail rates increased to 52 cents for the first ounce, and 23 cents for each additional ounce. If Sabrina spent
$1742 for a total of 48 stamps of these two denominations, how many stamps of each denomination did she buy?
She bought
of the 52 cent stamps and
of the 23 cent stamps.
Answer:
She bought
22 of the 52 cent stamps and
26 of the 23 cent stamps.
Step-by-step explanation:
Given :
Total stamp increase = 48
Let number of 52 cent stamp = x
Number of 23 cent stamp = 48 - x
The cost equation :
0.52*x + 0.23*(48-x) = 17.42
0.52x + 11.04 - 0.23x = 17.42
0.52x - 0.23x = 17.42 - 11.04
0.29x = 6.38
x = 6.38 / 0.29
x = 22
Hence,
She bought 22 ; 52-cent stamps
And (48 - 22) = 26, 23-cent stamps
Which of the following is not equal to a ratio of 5 to 2?
A. 25: 10 C.35: 15
B. 35: 14 D. 40:16
Answer:
C 35:15
Step-by-step explanation:
because 35:15 =5:3 so it is not equal to a ratio of 5 is to 2
Answer:
C
Step-by-step explanation:
If you simplify all the ratios, then you get the following:
A. 25/5 : 10/5 = 5:2
B. 35/7 : 14/7 = 5:2
C. 35/5 : 15/5 = 7:3
D. 40/8 : 16/8 = 5:2
A company wants to select 1 project from a set of 4 possible projects. Which of the following constraints ensures that only 1 will be selected?
a. X1 + X2 + X3 + X4 = 1
b. X1 + X2 + X3 + X4 = 1
c. X1 + X2 + X3 + X4= 1
d. X1 + X2 + X3+ X4= 0
Given:
A company wants to select 1 project from a set of 4 possible projects.
Consider the options are:
a. [tex]X_1+X_2+X_3+X_4=1[/tex]
b. [tex]X_1+X_2+X_3+X_4\leq 1[/tex]
c. [tex]X_1+X_2+X_3+X_4\geq 1[/tex]
d. [tex]X_1+X_2+X_3+X_4\geq 0[/tex]
To find:
The constraints that ensures only 1 will be selected.
Solution:
It is given that the company wants to select 1 project from a set of 4 possible projects. It means the sum of selected projects must be equal to 1.
[tex]X_1+X_2+X_3+X_4=1[/tex]
Therefore, the correct option is (a).
Question 9
Find the volume.
Answer:
D. 50 yd³
Step-by-step explanation:
Volume of triangular pyramid = ⅓ * Base Area * height of pyramid
Base area = ½*b*h = ½*6*5
Base area = 15 yd²
height of pyramid = 10 yd
Volume of the triangular pyramid = ⅓*15*10
Volume of the triangular pyramid = 5*10
= 50 yd³
what is the answer
help
Answer: With that assumption, we have a square, whose area is given by the formula Asquare=a2, and two semicircles. The distance D is simply the square's diagonal. The area of each semicircle is given by the formula Asemicircle=π*r2/2. then you will get your answer!