Answer:
-> The scale 1:100 means that every measurements in the plan will probably represent a size of 100 times larger in real life.
-> For example:
Adam is drawing a plan of an office room with a scale of 1:100. In the plan, it is shown that the width of the room is 0.8 feet. We then proceed to calculate the width in real life as follow:
0.8 × 100 = 80 ft
=> So the width of the office room is 80 ft.
Use 40, 37, 30, 40, 39, 41, 38, n.
1. If the mean was 43, n = ____
2. If the mean was 40, n = ____
3. If the mean was 38, n = ____
Answer:
\(40 + 37 + 30 + 40 + 39 + 41 + 38 + n = 265 + n\)
1)
\( \frac{265 + n}{8} = 43\)
\(265 + n = 344\)
\(n = 79\)
2)
\( \frac{265 + n}{8} = 40\)
\(265 + n = 320\)
\(n = 55\)
3)
\( \frac{265 + n}{8} = 38\)
\(265 + n = 304\)
\(n = 39\)
State the domain of the relation {(-2, 5), (0, -1), (-1, 4), (-1, 5)}
Answer:
{-2,0,-1}..............
4x + 10 = 2x + 24
PLEASE HELP AHHH
Answer:
x = 7
Step-by-step explanation:
subtract 10 by both sides
4x + 10 = 2x + 24
4x + 10 -10 = 2x + 24 -10
simplfy
4x = 2x + 14
subtract 2x from both sides of the equation
4x -2x = 2x + 14 -2x
simplify
2x = 14
divide both sides of the equation by the same term
2x / 2 = 14 / 2
simplify
x = 7
Can someone help me with this question?
A bag contains 12 movie tickets and 8 concert tickets. You randomly choose 1 ticket and do not replace it. Then you randomly choose another ticket. Find the probability that both events A and B will occur. Round your answer to the nearest tenth.
Event A: The first ticket is a concert ticket.
Event B: The second ticket is a concert ticket.
about ___%.
To solve this problem, we have to understand probability without replacement and consider the two events happening. The probability that both events occurs is 14%
Probability without replacementTo solve this problem, let's write down the data given;
Data;
Movie Ticket = 12Concert Ticket = 8But we are asked to calculate the probability that both times we pick both tickets, it would be a concert ticket.
Total number of tickets =
\(12 + 8 = 20\)
Let's proceed for the first event
\(P = \frac{8}{20}= \frac{2}{5}\)
The probability the second event occurs will be
\(P = \frac{7}{20}\)
The probability both events occur will be
\(P = P_a * P_b = \frac{2}{5} * \frac{7}{20} = \frac{7}{50} =0.14 = 14\%\)
The probability that both events occurs is 14%
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can any equation in point-slope form also be written in slope-intercept form?
Answer:
Yes
Step-by-step explanation:
The way the equation is written in point-slope form is:
\(y-y1=m(x-x1)\)
The way we write an equation in slope-intercept form is:
\(y=mx+b\)
We can change point-slope form to slope-intercept form by first distributing the m and then adding y1 to both sides of the equation. When we do this we will get:
\(y=mx-(m*x+y1)\) where \((m*x+y1) = b\)
which is now in slope intercept form.
please help at the image and answer
Step-by-step explanation:
the figure is a combination of
1 half-circle with radius 30/2 = 15
1 inner rectangle 13 width, (13+20)= 33 length.
2 right-angled triangles with 20 being one leg, and (30-13)/2 = 17/2 = 8.5 the other leg.
the area of the half-circle is
pi×r²/2 = pi×15²/2 = pi×112.5 = 353.4291735...
the area of the inner rectangle is
13×33 = 429
the area of one triangle (because they are right-angled, their area is leg1 × leg2 / 2)
20 × 8.5 / 2
but we have 2 triangles, and their total area is then
20 × 8.5 = 170
in total the area of the combined figure is the sum of all 3 numbers :
952.4291735...
this should be the cut-off 3rd answer option 952.4.
what is the value of x?
determine the equation of the circle graphed below .
( help pleasee )
Answer:
move the circle around that's how you co-ordinate
Step-by-step explanation:
Mrs. Malik ( my maths teacher ) helped me
Answer:
(x + 3)^2 + (y + 5)^2 = 4^2
Step-by-step explanation:
equation of a circle: (x - h)^2 + (y - k)^2 = r^2
(h,k) is the center and r is the radius
the center of this circle is (-3, -5) and the radius is 4
plug the numbers in
(x + 3)^2 + (y + 5)^2 = 4^2
hope this is good, havent done this unit in a while
This shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches. You can use 3. 14 as an approximation for π
If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.
To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).
The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:
C = πr = π(10) = 31.4 inches.
The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:
P = 3s = 3(20) = 60 inches
Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:
Perimeter = C + P = 31.4 + 60 = 91.4 inches.
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Complete Question
This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.
You can use 3.14 as an approximation for π. help i don't know it.
Which triangles are similar?
20°
100°
100°
60°
А
B
20°
60°
с
O A. Triangles A and B are similar to each other.
B. Triangles A, B, and C are similar to each other.
C. Triangles A and C are similar to each other.
D. Triangles B and C are similar to each other.
Answer:
B because when at B angels are the same qnd A and c are also same
x+3y=-17
3x=-6
4x-3y+6z= 25
Answer:
(-2, -5, 3)
Step-by-step explanation:
To solve the systems of equations for...
x + 3y = -17
3x = -6
4x - 3y + 6z = 25
First simplify...
x + 3y = -17
x = -2
4x - 3y + 6z = 25
Then list the determinants and evaluate...
D = -18
D1 = 36
D2 = 90
D3 = -54
Now use Cramer's Rule to find x, y, and z...
x = -2
y = -5
z = 3
Hope this helps! :)
Betsie is going to buy 250 envelopes.
Here is some information about the cost of envelopes in two shops.
Value World
Pack of 10 envelopes for £1.99
Buy 2 packs get 1 pack free
Letters2go
Pack of 25 envelopes for £3.19
Betsie wants to buy the envelopes for the best possible price.
Which shop should Betsie buy the 250 envelopes from?
You must show how you get your answer.
The shop for which Betsie should buy the 250 envelopes from, using proportions, is Value World.
What is a proportion?A proportion is a fraction of a total amount, and this fraction is used to build relations, using basic arithmetic operations such as multiplication or division, to obtain the desired measures.
In this problem, the final price is obtained as follows:
Divide the price by the number of packs to find the unit rate.Multiply the unit rate by 250.Hence the final price at Value World is given as follows:
1.99/10 = 0.119.
She will pay for 2/3 of the 250 packs, as she buys 2 and gets one free, hence:
2/3 x 250 x 0.119 = £19.83.
At Letters2go, the final price is obtained as follows:
3.19/25 x 250 = £31.90.
Due to the lower price, she should purchase her envelopes at Value World.
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The surface area of a cube is 96 square inches. What is the length of one of the sides of the cube?
Answer:
4 in.
Step-by-step explanation:
The surface area of a cube is the area of one of the faces times 6 for each face.
96/6=16
16 is the area of one face of the cube.
The side of the face is the square root of the area of the face.
√16=4
Answer:
4in
Step-by-step explanation:
I had the same problem but revirsed
Lines a and b are parallel. What is the measure of angle m? Enter your answer in the box. m=
Answer:
m=55
Step-by-step explanation:
Since one line equals 180 degrees, 180-125=55
A bond with a coupon rate of 12 percent sells at a yield to
maturity of 14 percent. If the bond matures in 15 years, what is
the Macaulay duration?
The Macaulay duration of a bond is a measure of the weighted average time until the bond's cash flows are received.
To calculate the Macaulay duration, we need the bond's cash flows and the yield to maturity. In this case, the bond has a coupon rate of 12 percent, sells at a yield to maturity of 14 percent, and matures in 15 years. The second paragraph will explain how to calculate the Macaulay duration.
To calculate the Macaulay duration, we need to determine the present value of each cash flow and then calculate the weighted average of the cash flows, where the weights are the proportion of the present value of each cash flow relative to the bond's price.
In this case, the bond has a coupon rate of 12 percent, so it pays 12 percent of its face value as a coupon payment every year for 15 years. The final cash flow at maturity will be the face value of the bond.
To calculate the present value of each cash flow, we discount them using the yield to maturity of 14 percent.
Next, we calculate the weighted average of the cash flows by multiplying each cash flow by its respective time until receipt (in years) and dividing by the bond's price.
By performing these calculations, we can determine the Macaulay duration, which represents the weighted average time until the bond's cash flows are received.
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if 1=3, 2=3, 3=5, 4=4, 5=4
then, 6=?
Answer:
6=4
Step-by-step explanation:
hopefully thia helps
A bag of fertilizer covers 2000 square feet of lawn. What is the total number of bags of fertilizer that should be purchased to cover a rectangular lawn 360 feet by 190 feet?
O 34 bags
O 35 bags
o 342 bags
O 3420 bags
Using the area of a rectangle, it is found that 35 bags are needed to cover the rectangular lawn.
What is the area of a rectangle?The area of a rectangle of length l and width w is given by the multiplication of the measures, that is:
A = lw
In this problem, we have that the measures in feet are l = 360, w = 190, hence the area in square feet is given by:
A = 360 x 190 = 68,400.
The number of bags is then given by:
68,400/2,000 = 34.2
Rounding up, 35 bags are needed to cover the rectangular lawn.
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if a multiple regression dataset has 3 predictors, what is the minimum number of observations needed to meet doane's rule?
Doane's rule is used for choosing the number of histogram bins, not for determining the minimum sample size needed for a multiple regression analysis.
However, a commonly cited rule of thumb is that the sample size should be at least 10 times the number of predictors, so for a multiple regression dataset with 3 predictors, a minimum of 30 observations may be recommended.
Doane's rule is a guideline for choosing the number of histogram bins based on the sample size and skewness of the data. It suggests that the number of bins should be approximately equal to 1 + log2(N) + log2(1 + |g1|/SE(g1)), where N is the sample size and g1 is the sample skewness.
It is important to note that Doane's rule is used for determining the number of bins for a histogram, not for determining the minimum sample size needed for a multiple regression analysis.
That being said, in general, the minimum sample size needed for a multiple regression analysis depends on a variety of factors, including the number of predictors, the strength of the relationships between the predictors and the outcome variable, the desired statistical power, and the level of significance. There is no set minimum sample size that applies to all situations. However, a commonly cited rule of thumb is that the sample size should be at least 10 times the number of predictors, so for a multiple regression dataset with 3 predictors, a minimum of 30 observations may be recommended.
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In an introductory psychology class with n = 50 students, there are 9 freshman males, 15 freshman females, 8 sophomore males, 12 sophomore females, and 6 junior females. A random sample of n = 2 students is selected from the class. If the first student in the sample is a male, what is the probability that the second student will also be a male?
a. 8/14
b. 12/20
c. 20/44
d. 20/50
Answer: Total number of males= C
Step-by-step explanation:
parallelogram cdef with vertices c(-4, -4), d(-2, 0), e(6, 1), and f(4, -3) in the line y = 2
The coordinates of the image of the parallelogram are:
C = (-4, 8)
D = (-2, 4)
E = (6, 3)
F = (4, 7)
What is a reflection?There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
Parallelogram CDEF with vertices:
C = (-4, -4)
D = (-2, 0)
E = (6, 1)
F = (4, -3)
The parallelogram is reflected over the line y = 2.
This means,
The y-coordinates will change and the x-coordinate will remain the same.
Now,
C = (-4, -4)
There are 6 units between y = 2 and y = -4 so,
C' = (-4, 2 + 6) = (-4, 8)
D = (-2, 0)
There are 2 units between y = 2 and y = 0 so,
D' = (-2, 2 + 2) = (-2, 4)
E = (6, 1)
There are 1 units between y = 2 and y = 1 so,
E' = (6, 2 + 1) = (6, 3)
F = (4, -3)
There are 5 units between y = 2 and y = -3 so,
F' = (4, 2 + 5) = (4, 7)
Thus,
The coordinates of the image are:
C = (-4, 8)
D = (-2, 4)
E = (6, 3)
F = (4, 7)
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consider the sample of 1,400 past negligence cases. suppose you are willing to let the 67% estimate be within .025 (2.5%) of the true proportion. you are willing to assume a 95% confidence. a. is 1,400 an adequate sample size for the estimate of 67%? show why or why not\
We can be reasonably confident that our estimate adequate sample size of 67% is within 2.5% of the true proportion.
To determine if a sample size of 1,400 is adequate for estimating a proportion of 67%, we need to calculate the margin of error and compare it to the given tolerance level of 0.025.
We can use the following formula to calculate the margin of error:
\(E = z \sqrt{\frac{(p (1-p)}{n} )\)
where:
E is the margin of errorz is the z-score corresponding to the desired confidence level (95% corresponds to a z-score of 1.96)p is the estimated proportion (67% or 0.67 as a decimal)n is the sample size (1,400)Plugging in the values, we get:
\(E = 1.96 \sqrt{(0.67 (1-0.67)/1400)\)
≈ 0.025
Thus, the error margin is around 0.025. This indicates that there is a 95% chance that the real percentage will be within 0.025 of the estimated proportion.
We may infer that a sample size of 1,400 is sufficient for predicting a proportion of 67% with the provided degree of confidence and tolerance as the computed margin of error is equal to the required tolerance level. As a result, we can say with some degree of assurance that our estimate of 67% is within 2.5% of the actual proportion.
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If two events are independent, then their joint probability is computed with _____.
A. the special rule of addition
B. the special rule of multiplication
C. the general rule of multiplication
D. the bayes theorem
B. the special rule of multiplication.
The joint probability of two independent events is computed using the special rule of multiplication.
What is the method used to calculate the joint probability of two independent events?When two events are independent, their joint probability is calculated using the special rule of multiplication.
This rule states that the probability of both events occurring together is equal to the product of their individual probabilities. In other words, if A and B are two independent events, then the probability of A and B occurring together is equal to the probability of A multiplied by the probability of B.
For example, if the probability of event A is 0.4 and the probability of event B is 0.5, then the probability of both events occurring together is 0.4 x 0.5 = 0.2.
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chris has been given a list of bands and asked to place a vote. his vote must have the names of his favorite and second favorite bands from the list. how many different votes are possible?
There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.
To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.
Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.
Therefore, the number of different votes possible is m * (m-1) / 2.
In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.
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A large concrete block is used for the cornerstone of a building. The block is 132 in deep, 120 in wide, and 156 in long. What volume of concrete is needed to make this block?
Answer:1430 ft^3
Step-by-step explanation: you have to divide by 36
Which angle is formed by a secant and tangent line?
A) ANG
B) GSE
B) EGS
C) NGL
The angle formed by a secant and tangent line is GSE (Given-Secant-Exterior).
A tangent is a straight line or curve that touches a given curve exactly once but does not cross it. The tangent is a fundamental concept in geometry and calculus that is used to study the behavior of functions at a specific point.
An external angle is the angle formed by a secant and tangent line at a point on a circle. The abbreviation for this angle is EGS (External Angle-Secant-Tangent).
A secant line intersects a circle at two points, whereas a tangent line intersects the circle at only one. The external angle is formed at the point of tangency by the intersection of the secant and tangent lines outside the circle.
Full question.
Which angle is formed by a secant and tangent line?
A) ANG
B) GSE
B) EGS
C) NGL
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I WILL MARK BRAINLIEST IF YOU ARE CORRECT
Answer:
Step-by-step explanation:
80 40
___________
100 50
Please help ! This is due today .
Answer:
Step-by-step explanation:
1) because there are 10 total boxes in box 1 and they want 2/5 of them color in 4 boxes to make 4/10 which can reduce to 2/5
2) they say make it unlikey that a blue box will be picked.. so color in one box
3) now don't color any of the boxes.. so no matter which boxes is picked.. there isn't any blue ones. :)
the 6th term of a gp is -2/29,and it's first term is 18.what is the common ratio
Answer:
-0.329
Step-by-step explanation:
The formula for Geometric ratio is
an = ar^n - 1
Where
a = First term = 18
r = Common ratio = ?
n = Number of term= 6
Hence
a6 = 18 × r^6-1
From the question
a6 = -2/29
Hence:
-2/29 = 18 × r^6-1
-2/29 = 18 × r⁵
Divide both sides by 18
-2/29 ÷ 18 = 18 × r⁵/18
-2/29 × 1/18 = r⁵
r⁵ = -1/261
Take the fifth root of both sides
⁵√(r⁵) = ⁵√(-1/261)
r = -0.3286032834
Approximately = -0.329
Therefore, Common ratio = -0.329
In a Healthy Jogging event, a few hundred participants were expected to jog 7 800 000 metres altogether. They had jogged 25 000 metres in the first few minutes. How many thousands must be added to 25 000 to make 7 800 000?
we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.
Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.
Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.
We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-
7800000-25000= 7775000m
hence, to make 7800000 from 25000 we have to add 7775000.
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Which statement is true? Select all that apply.