Step-by-step explanation:
(2/3 + 4/5) / (3/6)
= (10/15 + 12/15) * 2
= (22/15) * 2
= 44/15.
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table.
A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let C be the event that the participant’s first motor vehicle was a car. What is the value of P(F or C)?
A) 0.59
B) 0.68
C) 0.71
D) 0.80
Answer:
C) 0.71.
Step-by-step explanation:
To find the probability of an event occurring, we need to sum up all the probabilities of the outcomes that satisfy the event. In this case, the event "F or C" is satisfied by all the outcomes in which the participant's first motor vehicle had four cylinders or was a car.
We can see from the table that 118 out of the 200 participants had their first motor vehicle as a car, so the probability of this event occurring is 118/200 = 0.59. Similarly, we can see that the probability of the event "first motor vehicle had four cylinders" occurring is (118 + 4) / 200 = 0.62.
Therefore, the probability of the event "F or C" occurring is the sum of the probabilities of these two events occurring, which is 0.59 + 0.62 = 0.71. The correct answer is therefore C) 0.71.
The value of the probability P(F or C) is 0.80, Option D is correct.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a survey participant is randomly selected.
Let F be the event that the participant’s first motor vehicle had four cylinders and
let C be the event that the participant’s first motor vehicle was a car.
We need to find the value of P(F or C)
The number of P or c is 118+6+18+16+2
=160
The number of people in total are 200.
P(F or C )= 160/200
=0.80
Hence, the value of the probability P(F or C) is 0.80, Option D is correct.
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McKenzie makes and sells quilts at an art fair. The materials for each quilt cos t$30.50. She sells the quilts for $80. If "n" represents the number of quilts she sells, which expression could be used to represent her total profits?
Answer:
Total profits = 49.50n
Step-by-step explanation:
Cost of each quilt = $30.50
Selling price of each quilt = $80
Profits = selling price - cost price
= $80 - $30.50
= $49.50
Profits = $49.50
If n = number of quilts she sells
which expression could be used to represent her total profits?
Total profits = profits of each quilt × number of quilt sold
= $49.50 × n
= 49.50n
Total profits = 49.50n
One British pound was worth 1.5761 Canadian dollar.If a hotel room coat 126 pounds,what must be paid in Canadian dollars.
Answer:
198.5886 or technically 198.58 or 198.59 because you can't have a decimal of a penny.
Step-by-step explanation:
One British pound was worth 1.5761 Canadian dollar, meaning that every pound needed is worth 126 Canadian dollar.
That means you can multiply 1.5761 by 126 to get the Canadian dollar price.
126 x 1.5761 = 198.5886
198.5886 is the Canadian price
Find the exact values of the following, giving your answers as fractions
Answer:
a)3^-2 = 1/3^2 =1/9
b)4^-3 = 1/4^3 = 1/64
c)2^-6 = 1/2^6 = 1/64
Better Crocker is baking a cake. She needs 2 1/4 cups of sugar and 1 1/2 cups of brown sugar. How much sugar does she need in all?
Answer:
3 3/4 cups of sugar
Step-by-step explanation:
What is the equivalent digit 3 in the number 792.134?
A 3 times 10
B 3/10
C 3 times 100
Or D 3/100
An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represents this rate?
Answer:
Graph G
Step-by-step explanation:
The graphs are attached
Given that the oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours, hence the rate at which the shaft drills = 7 meter / 2 hours = 3.5 meters per hour
Since the drill goes into the ground, hence the rate is negative that is -3.5 meters per secong
The slope (rate of change) of a line (m) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
a) For graph F, the line passes through the point (0,0) and (10, -20). Hence:
[tex]Slope\ of\ line\ F=\frac{-20-0}{10-0} =-2\ meters\ per\ second[/tex]
b) For graph G, the line passes through the point (0,0) and (10, -70). Hence:
[tex]Slope\ of\ line\ G=\frac{-70-0}{10-0} =-7\ meters\ per\ second[/tex]
c) For graph H, the line passes through the point (0,0) and (10, -35). Hence:
[tex]Slope\ of\ line\ H=\frac{-35-0}{10-0} =-3.5\ meters\ per\ second[/tex]
d) For graph J, the line passes through the point (0,-3.5) and (10, -3.5). Hence:
[tex]Slope\ of\ line\ j=\frac{-3.5-(-3.5)}{10-0} =0\ meters\ per\ second[/tex]
Answer:The answer is H , It is the graph where -10 is right below the 0 on the y.
A segment has endpoints with coordinates - 3 and 4. What is the coordinate of the segment's midpoint?
9514 1404 393
Answer:
1/2
Step-by-step explanation:
The midpoint is the average of the end points:
(-3 +4)/2 = 1/2
The coordinate of the midpoint is 1/2.
Juan wants to solve the equation below using the Distributive Property.
4(6 – x) = 12
What should Juan’s first step be?
A. Multiply 4 by x.
B. Subtract x from 6.
C. Distribute 4 to (6 – x).
D. Subtract 4 from both sides.
Answer:
C. Distribute 4 to (6 - x).
Step-by-step explanation:
Person above is right.
Juan’s first step should be C. Distribute 4 to (6 – x).
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
a(b + c) = a b + a c
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
We are given an equation as;
4(6 – x) = 12
Here Juan wants to solve the equation, using the Distributive Property.
thus, 4(6 – x) = 12
First step is to distribute 4.
4(6) – 4(x) = 12
Then solve;
24 - 4x = 12
x = 3
Hence, Juan’s first step should be C. Distribute 4 to (6 – x).
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Brandon is playing hide-and-seek with Katy and Tony. Katy is hiding 63 feet south of Brandon, and Tony is hiding due east of Katy. If Brandon is 87 feet from Tony, how far apart are Katy and Tony?
Answer:
60 feets
Step-by-step explanation:
Given that :
Using Pythagoras rule :
Hypotenus = sqrt(Adjacent^2 + opposite^2)
From the attached picture :
x² = 87^2 - 63^2
x^2 = 7569 - 3969
X^2 = 3600
Take the square root of both sides :
X = sqrt(3600)
X = 60 feets
Hence, Katy and Tony are 60 feets apart
I need help determineing the next number.?!
Answer:
The next number is -12 ⇒ B
Step-by-step explanation:
Let us solve the question
∵ The pattern is 2,916, -972, 324, -108, 36, ....
→ All the given numbers are divisible by 3 because the sum of
the digits of each number can divide by 3
2+9+1+6 = 18 → multiple of 39+7+2 = 18 → multiple of 33+2+4 = 9 → multiple of 31+0+8 = 9 → multiple of 33+6 = 9 → multiple of 3∵ The pattern has positive and negative numbers
∴ Each next term = the previous term ÷ -3
→ Let us do that to find the missing number
∵ 2916 ÷ -3 = -972
∵ -972 ÷ -3 = 324
∵ 324 ÷ -3 = -108
∵ -108 ÷ -3 = 36
→ Find the next number by divide 36 by -3
∵ 36 ÷ -3 = -12
∴ The next number is -12
Which statement is true about the slope of the graphed line?
Answer:
I cannot say without a picture, send one and I'll be glad to help.
2(3x-17) by using the distributive property
y r all the questions so hard...........
r u guys like college students or something........
Answer:
Maybe.......... No lol. Some people just word it weird. When you change up the wording of the questions it helps sometimes.
Step-by-step explanation:
Answer:
What's your question you have having a problem?
Simplify -8n - 7(6n - 6)
Answer:
-50n + 42
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
-8n - 7(6n - 6)
Step 2: Simplify
Distribute -7: -8n - 42n + 42Combine like terms: -50n + 42PLEASE HURRY!
Each statement describes a transformation of the graph of y= x.
Which statement correctly describes the graph of
y= x - 8?
A. It is the graph of y= x translated 8 units to the left
B. It is the graph of y= x translated 8 units up.
C. It is the graph of y=x translated 8 units down.
D. It is the graph of y=xwhere the slope is decreased by 8.
Answer:
c
Step-by-step explanation:
its in slope intercept form, or y=mx+b where b is the y intercept, i.e. how far down the line hits the y axis. m would be the slope but we dont need to worry about that for now. since b is the y intercept, -8 would mean 8 units down
4x - 9y = 1
2x + y = -5
Answer:
y=1
x=5/2
Step-by-step explanation:
4x-9y=1
(2x+y=-5)-2
4x-9y=1
-4x-2y=10
_________
-11y=11
y=-1
4x-9y=1
4x-9(1)=1
4x=10
x=10/4
x=5/2
Starter
Question 1: Simplify each of the following
(a) y + y + y + y
(b) w+W+W+W + W
(c) a + a + a + a + a + a
(d) 5+$+
(e) nun
Og+ 8 + 8 + g-8
(g) y + y + y + y - y - y
(h) + p-p-p
(1) 3y + 2y
0) 4a + 3a
(k) 9k + 5k
("m+ m
(m) 150 - 200
(n) 6w - 3w
(0) 10y + 3y - 5y
(p) 20 - 140
Answer:
a)y^3
o)7a^2
I know only that
9. Tell whether the table is a linear equation and explain why
Question1 of 10
Which is the best definition of an equilateral triangle?
O A. A triangle that has at least two congruent sides
OB. A triangle that has three congruent sides
O C. A triangle in which no two sides are congruent
SUBMIT
Find the equation in slope intercept form
(-8,-2) and (-4,6
Answer:
y = 2x + 14
Step-by-step explanation:
Answer:
y = 2x + 14
Step-by-step explanation:
Use the slope equation:
[tex]m = \frac{y2-y1}{x2-x1}[/tex]
[tex]m = \frac{6-(-2)}{-4-(-8)}\\m = \frac{8}{4}\\m = 2[/tex]
Next, find the y-intercept by subbing in one of the points and the slope into what you have so far in the equation:
(-8, -2)
y = mx + b
-2 = 2(-8) + b
-2 = -16 + b
-2 + 16 = b
b = 14
Now you have your final equation:
y = 2x + 14
What is the answer to this equation: 40+40-20x0+3+125=
Answer:
208
Step-by-step explanation:
20 × 0 = 0
40 + 40 = 80
125 + 3 = 128
The given expression [tex]40+40-20\times 0+3+125[/tex] is reduced to 208 and this can be determined by using the arithmetic operations.
Given :
Expression - [tex]40+40-20\times 0+3+125[/tex]
The following steps can be used to evaluate the given expression:
Step 1 - Write down the expression.
[tex]=40+40-20\times 0+3+125[/tex]
Step 2 - First, multiply -20 by 0 in the given expression.
[tex]=40+40-0+3+125[/tex]
Step 3 - Now, Add 40 and 40 in the above expression.
= 80 + 3 + 125
Step 4 - Add 80 and 3 in the above expression.
= 83 + 125
Step 5 - Add 83 and 125 in the above expression.
= 208
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A sunflower grows at a rate of 4cm each day.
How many days does it take to grow from a height of 80cm to more than 1.06m?
Answer:
6.5 days
Step-by-step explanation:
106 - 80 =26
26/4= 6.5 days
Answer:
for 80cm
1 =4 cm
x=80cm
4 cmx=80 cm
4 cm. 4 cm
x=20 days
Step-by-step explanation:
1 is equal to 4cm
there x is equal to 80cm
cross multiply
then divid though by 4 because it has letter x
and finally you 20 days as your answer.
Find the value of f(-6).
Answer:
f(-6) = 5
Step-by-step explanation:
We want to find the value of the graph when x = -6
Go to where x = -6 and the y value is 5
f(-6) = 5
B is the midpoint of line AC. Which statement best describes the relationship between triangles ABD and CBD?
Answer:
Triangles ABD and CBD are congruent by the SSS Congruence Postulate
Step-by-step explanation:
AB = CB
AD = CD
and BD is the common side.
The statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'
What are similar triangles?"Two triangles are similar when their corresponding angles are equal and corresponding sides are in equal proportion."
What are congruent triangles?"Two triangles are congruent if their corresponding sides are equal and corresponding angles are equal in measure."
What is SSS congruence postulates?"Two triangles are congruent if all three sides of a triangle are congruent to corresponding three sides of other triangle."
What is SSS similarity postulates?"Two triangles are similar if all the three sides of a triangle are in proportion to the three sides of another triangle."
What is SAS similarity postulates?"Two triangles are similar if the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle between the two sides in both the triangle are equal."
What is SAS congruence postulates?"Two triangles are congruent if two sides and the angle between these two sides of one triangle are congruent to the corresponding two sides and the included angle of a second triangle."
For given question,
We have been given triangles ABD and CBD.
B is the midpoint of line AC
⇒ AB = BC
For triangles ABD and CBD,
side AB = side CB ............(since, B is the midpoint of line AC)
side BD = side BD .............(common side)
side AD = side CD ............(measures 15 units each)
So, by SSS postulates of triangle congruence triangles ABD and CBD are congruent triangles.
Therefore, the statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'
The correct answer is option (a)
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Gracie made cupcakes for a bake sale. She bought a cake mix for $4.79, a dozen
eggs for $2.99, a bottle of vegetable oil for $6.79, and a can of frosting for $5.25.
What were her total expenses for the cupcakes?
$21.45
$19.82
$18.92
Answer:
She spent 19.82 in all
Step-by-step explanation:
I added them
A sequence is defined by the recursive function f(n + 1) = one-halff(n). If f(3) = 9 , what is f(1) ? 1 3 27 81
Answer:
81
Step-by-step explanation:
The value of f(1) for the recursive function is (d) 81
The recursive function is given as:
[tex]f(n + 1) = \frac 13f(n)[/tex]
Multiply both sides of the equation by 3
[tex]3f(n + 1) = f(n)[/tex]
Rewrite as:
[tex]f(n) = 3f(n + 1)[/tex]
Set n = 2;
[tex]f(2) = 3f(2 + 1)[/tex]
[tex]f(2) = 3f(3)[/tex]
Set n = 1 in [tex]f(n) = 3f(n + 1)[/tex]
[tex]f(1) = 3f(1 + 1)[/tex]
[tex]f(1) = 3f(2)[/tex]
Substitute [tex]f(2) = 3f(3)[/tex]
[tex]f(1) = 3 \times 3f(3)[/tex]
[tex]f(1) = 9f(3)[/tex]
Substitute 9 for f(3)
[tex]f(1) = 9 \times 9[/tex]
[tex]f(1) = 81[/tex]
Hence, the value of f(1) for the recursive function is (d) 81
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If you’re correct I’ll give u brainlist ‘
Answer:
Additive property of length
Step-by-step explanation:
Additive property of length
Question 10 of 10
If f(x) = 4x - 12, what is f(2)?
O A. 4
B. -20
C.-4
O O O
D. 8
Answer:
Step-by-step explanation:
f(x) = 4x - 12
f(2) = 4*2 - 12
f(2) = 8 - 12
f(2) = - 4
Mrs. Crimm signed up to bring two dozen cupcakes for the school bake sale. She made one dozen, but her children ate 3 of the cupcakes. Which of the following could be used to determine c, the number of cupcakes Mrs. Crimm needs to bake?