Answer:
Length of Line AC = 26 units
Step-by-step explanation:
Given:
Line AC = [3x + 1] + 8
Line BC = [x - 2] + 2
Find:
Length of Line AC
Computation:
Line AB ║ Line L
So,
Using Mid-Point theorem;
[3x + 1] / 8 = [x - 2] / 2
2[3x + 1] = 8[x - 2]
6x + 2 = 8x - 16
8x - 6x = 16 + 2
2x = 18
x = 9
So,
Line AC = [3x + 1] + 8
Line AC = [3(9) + 1] + 8
Line AC = [27 + 1] + 8
Line AC = 28 + 8
Length of Line AC = 26 units
A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a function of batch size (the number of boards produced in one lot or batch). The independent variable is:
Answer:
"Variable cost" is the appropriate answer.
Step by-step explanation:
Let an equation,
⇒ [tex]y=a+bx[/tex]
here,
y = Total costa = Fixed costx = Variable costor,
We can say that, "y" is a dependent variable as well as "x" is an independent variable.
Thus the independent variable is Variable cost.
20% of the patron's order the chef's special. The probability that 2 out of the next ten customers will order the chef's special is
Answer:
[tex]P(x =2) = 0.3020[/tex]
Step-by-step explanation:
Given
[tex]p =20\% = 0.20[/tex]
[tex]n = 10[/tex]
Required
[tex]P(x = 2)[/tex]
This question is an illustration of binomial distribution where:
[tex]P(X = x) = ^nC_x * p^x * (1 - p)^{n-x[/tex]
So, we have:
[tex]P(x =2) = ^{10}C_2 * 0.20^2 * (1 - 0.20)^{10-2}[/tex]
[tex]P(x =2) = ^{10}C_2 * 0.20^2 * 0.80^8[/tex]
This gives
[tex]P(x =2) = \frac{10!}{(10 - 2)!2!} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = \frac{10!}{8!2!} * 0.20^2 * 0.80^8[/tex]
Expand
[tex]P(x =2) = \frac{10*9*8!}{8!2*1} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = \frac{10*9}{2} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = 45 * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = 0.3020[/tex]
The probability that 2 out of the next ten customers will order the chef special is 0.3020. and this can be determined by using the binomial distribution.
Given :
20% of the patron's order the chef's special. Sample size, n = 10To determine the probability formula of the binomial distribution is used, that is:
[tex]\rm P(x = r) = \; ^nC_r \times p^r \times (1 - p)^{n-r}[/tex]
Now, at n = 10 and r = 2, the probability is given by:
[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (1 - 0.2)^{10-2}[/tex]
[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (0.8)^{10-2}[/tex]
[tex]\rm P(x = 2) = \; \dfrac{10!}{(10-2)!\times 2!} \times (0.2)^2 \times (0.8)^{8}[/tex]
[tex]\rm P(x = 2) = \; 45 \times (0.2)^2 \times (0.8)^{8}[/tex]
P(x = 2) = 0.3020
The probability that 2 out of the next ten customers will order the chef special is 0.3020.
For more information, refer to the link given below:
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Name
Date
Unit 2 Mid-Unit Assessment continued
Form A
6
Ben has 5 comic books. His cousin Kurt has 6 times as many comic books
as Ben has.
Part A
Draw and label a bar model to show the number of comic books
each boy has.
Answer:
das
Step-by-step explanation:
adsasc
PLEASE HELP I WILL GIVE BRAINLIEESTTTT
plss help me :(
Find the length of the arc.
Answer:
D 5pi/2
Step-by-step explanation:
Found the circumference then quartered. Can I have brainiest I need one more to upgrade.
Which one is the least value?
Answer:
6/20
Step-by-step explanation:
trust
The area of a rectangle is 130 mm². The length is 3 mm greater than its width. Let x represent the width of the rectangle.
Which equation can be used to solve for x?
O A. 3x = 130
O B. x2 + 3 = 130
C. x(x + 3) = 130
D. (x+3)2 = 130
Answer:
L = 3 + x
W = x
A = L x W
130 = 3 +( x × x)
B. X2 + 3 = 130
The equation that can be used to solve for x is;
x(x + 3) = 130
Area of a RectangleWe are told that area of a rectangle is;
A = 130 mm².
We are told that length is 3 mm greater than its width.
Now, if the width is x, then
Length = x + 3
Formula for area of a rectangle is;
A = length * width
Thus;
(x + 3)x = 130
x² + 3x = 130
Read more about area of a rectangle at;https://brainly.com/question/13048427
#6 - 8 ASAP first answer gets brainliest
Answer:
6. 8 in.²
7. 47.6 m²
9. 20 cm²
Step-by-step explanation:
6. Area of triangle = ½*base*height
base = 4 in.
height = 4 in.
Area = ½*4*4
Area = 2*4
Area = 8 in.²
7. Area of triangle = ½*base*height
base = 13.6 m
height = 7 m
Area = ½*13.6*7
Area = 47.6 m²
9. Area of the shaded figure = area of triangle + area of rectangle
= ½*b*h + L*W
b = 2 cm
h = 4 cm
L = 8 cm
W = 2 cm
Area of the shaded figure = ½*2*4 + 8*2
= 4 + 16
= 20 cm²
Mars is on average 2.25 x 108 miles away from Earth. The moon is on average 2.388 x 105 miles away from Earth. Approximately how many times
farther is Mars from Earth than the moon is ?
A.0.94 times
B.9.4 times
C.94 times
D.940 times
Answer:
I believe the answer is D
Step-by-step explanation:
Mars is approximately 940 times farther away from Earth than the Moon.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
Mars is on average 2.25 x 10⁸ miles away from Earth.
The moon is on average 2.388 x 10⁵ miles away from Earth.
To calculate the answer, we need to divide the distance from Mars to Earth by the distance from the Moon to Earth. This gives us:
2.25 x 10⁸ miles / 2.388 x 10⁵ miles = 942.42
Rounded to the nearest whole number, this means that Mars is approximately 940 times farther away from Earth than the Moon is.
Therefore, the answer is D) 940 times.
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Can someone please answer
Answer:
6 - 5 = 7 - 61 = 1 (TRUE)Step-by-step explanation:
13 - 6 = 6 - 1
7 = 5 (FALSE)
-----------------------------
6 - 5 = 7 - 6
1 = 1 (TRUE)
------------------------------
8 - 4 = 11 - 8
4 = 3 (FALSE)
birth weights in norway are normally distributed with a mean of 3570 g and a standard deviation of 500g. if the hospital officials plan to require special treatment for the lightest 3% of newborn babies, what birth weight seperates those requiring special treatment from those who do not
Answer:
2630 g
Step-by-step explanation:
From the given information:
Given that:
mean (μ) = 3750 g
Standard deviation (σ) = 500
Suppose the hospital officials demand special treatment with a percentage of lightest 3% (0.03) for newborn babies;
Then, the weight of birth that differentiates the babies that needed special treatment from those that do not can be computed as follows;
P(Z < z₁) = 0.03
Using the Excel Formula; =NORMSINV(0.03) = -1.88
z₁ = - 1.88
Using the test statistics z₁ formula:
[tex]z_1 = \dfrac{X-\mu}{\sigma}[/tex]
[tex]-1.88 = \dfrac{X-3570}{500}[/tex]
By cross multiply, we have:
-1.88 × 500 = X - 3570
-940 = X - 3570
-X = -3570 + 940
-X = -2630
X = 2630 g
Hence, 2630 g is the required weight of birth that differentiates the babies that needed special treatment from those that do not
Use a net to find the surface area of the prism.
27 cm
6.5 cm
15 cm
The surface area of the prism is
(Simplify your answer.)
Cm2
Answer:
Step-by-step explanation:
find the outlier of 22,26,31,37,3126,35,28,24
Answer:
3126
Step-by-step explanation:
Because it is so much bigger than the other numbers.
QR=15;PR=28;PQ=15,Cos_=15/28
Answer:
I don't understand any thing can you read the question
Which best describes the relationship between the successive terms in the sequence shown?
9, -1, -11, -21,
The common difference is -10,
The common difference is 10
The common ratio is -9)
The common ratio is 9.
Answer:
the common difference is 10
Suppose the line with slope 1 crosses the x -axis at x=2.
(a) Find the equation of the line in slope-intercept form and enter the answer in the space:
(b) What is the y -intercept of the graph of the line? Enter your answer in the space:
Answer:
a. y=x-2 b. -2
Step-by-step explanation:
a.) if the slope is 1, the x-int is always the negative of the y-int so y=x-2
b.) in y=mb+b (slope intercept form) b is the y-int so -2
Brainliest Plz??
HELP!! these two questions I've been stuck on! Please help!
13 of 20 QID: 26864 What is the radius of a right circular cylinder with a volume of 12 in3 if it has a minimum surface area
Answer:
r = 1,248 in
Step-by-step explanation:
v(c) = 12 in³
The surface area of a right cylinder is:
Area of the base and top + lateral area
S(a) = 2*π*r² + 2*π*r*h (1)
v(c) = 12 in³ = π*r²*h h is the height of the cylinder, then
h = 12 / π*r²
By substitution, in equation (1) we get the Surface area as a function of r
S(r) = 2*π*r² + 2*π*r* ( 12 / π*r²)
S(r) = 2*π*r² + 24 /r
Tacking derivatives on both sides of the equation we get:
S´(r) = 4*π*r - 24 /r²
S´(r) = 0 4*π*r - 24 /r² = 0 π*r - 6/r² = 0
π*r³ - 6 = 0
r³ = 1,91
r = 1,248 in
How do we know that the value r = 1,248 makes Surface area minimum??
We get the second derivative
S´´(r) = 4*π + 48/r³ S´´(r) will be always positive therefore we have a minumum of S at the value of r = 1,248 in
Please help with this problem
Answer:
9/13 should be the answer
Explanation:
does not have a sister & has a brother / does not have a sister & has a brother + does not have a sister & does not have a brother =
9 / (9 + 4) = 9 / 13
Write a recursive rule for -3, -1, 2,6,11
Answer:
números enteros que comprende a los positivos y negativos
Question 3 of 25
If f(x) = 3x + 2, what is f(5)?
O A. 10
O B. 17
O c. 1
O D. 13
Answer:
I believe it's 17 :)
Step-by-step explanation:
5×3= 15 +2 = 17
Select the values that make the inequality h < 2 true.
(Numbers written in order from least to greatest going across.)
Given:
The inequality is:
[tex]h\leq 2[/tex]
To find:
The values that make the given inequality true.
Solution:
We have,
[tex]h\leq 2[/tex]
It means the value of h must be less than or equal to 2.
In the given options, the list of numbers which are less than or equal to 2 is
-6, -3, -1, 1, 1.9, 1.99, 1.999, 2
The list of numbers which are greater than 2 is
2.001, 2.01, 2.1, 3, 5, 7, 10
Therefore, the first 8 options are correct and the required values are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.
Answer:
Step-by-step explanation:
A sector of a circle has a diameter of 12 feet and an angle of 3pi/4 radians. Find the area of the sector.
Answer:
42.39 ft²
Step-by-step explanation:
area of sector= 3/8 × 3.14 × 6²
= 42.39 ft²
The area of the sector is 42.39 ft²
Given that, a sector of a circle has a diameter of 12 feet and an angle of 3pi/4 radians, we need to find the area of the sector,
Area of the sector = θ/360° / π·radius²
area of sector= 3/8 × 3.14 × 6²
= 42.39 ft²
Hence, the area of the sector is 42.39 ft²
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Find the missing length. The triangles in each pair are similar.
I think the answer should be 12
this is because CH length is 6 x 5 is 30 so 60/5 is 12 for BH.
question in image attached
Find the number of 3-card hands that contain the cars specified. NO LINKS!! NOT MULTIPLE CHOICE!!!
5. 3 red cards
6. 3 aces
7. 3 face cards
8. 3 hearts
9. 3 of one kind
Answer:
Step-by-step explanation:
5.
26 red cards in a 52-card deck so 3 red cards combo = 26*25*24 = 15600
6.
4 aces in a deck so 3 aces = 4*3*2 = 24
7.
12 face cards in a deck so 3 face cards = 12*11*10 = 1320
8.
13 hearts in a deck so 3 hearts = 13*12*11 = 1716
9.
4 kinds in a deck: spade, heart, diamond and club so 3 of one kind = 4*1716
= 6864
Answer:
Step-by-step explanation:
5. half deck are red; 2nd card is 1 less n 3rd card 2 less: 26x25x24 = 15600
6. 4 aces total: 4x3x2 = 24
7. 3 face cards per suit; 12 total: 12*11*10 = 1320
8. 13 heart cards: 13x12x11 = 1716
9. 4 suits: 1716x4 = 6864
Mr. Halsey leans a ladder against an 11.5-foot wall. The bottom of the ladder is 3.5 feet from the base of the wall, as shown.
What is the approximate length of the ladder?
A.
8 feet
B.
11 feet
C.
12 feet
D.
14 feet
Answer:
d 14
Step-by-step explanation:
Find the area and the circumference of a circle with diameter 10 m.
Write your answers in terms of pi, and be sure to include the correct units in your answers.
Step-by-step explanation:
area of a circle= πr²
and r= half diameter
therefore we have r=10/2=5
area= 5² x π
area= 25π
circumference=2πr
circumference= 2xπx5
circumference=10π
a rectangle has a base of 10 and height of 12 what is its area
Answer:
120 units squared
Step-by-step explanation:
how to expand (3x-4y)^6