Answer:
3
Step-by-step explanation:
2n
3p
4q
Answer:
The one on top of me is wrong.
Step-by-step explanation:
There are 4 terms in this expression
QUESTION 8
Solve the problem that involves probabilities with events that are not mutually exclusive.
Consider a political discussion group consisting of 8 Democrats, 3 Republicans, and 7 Independents. Suppose that two
group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting
an Independent and then a Democrat.
14/81, 25/153, 7/306/ or 4/153?
Answer:
Option (2).
Step-by-step explanation:
Number of Democrats in a political discussion = 8
Number of Republicans = 3
Number of independents = 7
Total members in the discussion = (8 + 3 + 7)
= 18
Probability of selecting an independent = [tex]\frac{7}{18}[/tex]
Remaining members after selecting one independent = 17
Probability of selecting a Democrat = [tex]\frac{8}{17}[/tex]
Probability of selecting a Republican then a Democrat = [tex]\frac{7}{18}\times \frac{8}{17}[/tex]
= [tex]\frac{28}{153}[/tex]
Therefore, Option (2) will be the answer.
Maggie's brother is 5 years younger than twice her age. The sum of their ages is 22.
How old is Maggie?
Answer:
9 years old
Step-by-step explanation:
Let maggie's age be m,
and let maggie's brother's age be b
b = 2m - 5,
m + b = 22
Substitute "2m - 5" for b in the second equation (substitution)
m + (2m - 5) = 22 -> Remove parenthesis
m + 2m - 5 = 22 -> Combine like terms
3m = 22 + 5 = 27 -> Divide either side by 3
m = 27/3 = 9
Solution: Maggie is 9 years old
Sandra spent $32 for a purse and buys aCD for $15. Write an expression to represent this problem
Answer:
x - ($32 + $15); or x - $32 + $15
Step-by-step explanation:
Spending on the purse and a CD means less cash then the starting amount, x.
Answer:
$32+ $15=$47
Step-by-step explanation:
4(x - 1) - x= 3(x + 5) –11
Answer:
4
Step-by-step explanation:
Answer:
No solution
Hope this helps! :)
Calories consumed by members of a track team the day before a race are normally distributed, with a mean of 1,600 calories and a standard deviation of 100 calories. If a normal curve is sketched using these data, what is the range for 3 standard deviations to the right and to the left of the mean?
Answer:
600 calories
Step-by-step explanation:
John has consumed 1600 calories out of which he has burned off 400. So the total calories for the day so far are:
1600-400
=1200 calories
He has to keep the count of calories upto 1800 per day and the consumed calories so far are 1200
So he needs to burn:
= 1800 - 1200
= 600 calories
He has to consume 600 calories more..
Hence 1000 is not a viable solution to the problem as the remaining count of calories that need to be consumed are 600 ..
Answer:
The Answer is A.
Step-by-step explanation:
Hope this helps!
Lisa used 1/4 cups of milk per batch using her muffin recipes. How many cups of Milan will she use when she made 6 batches of muffins?
Answer:
1 1/2
Step-by-step explanation:
1/4 cups * 6 batches = 1/4 * 6 = 6/4 = 1 2/4 = 1 1/2
Step by step of how to find f(g(x)) and g(f(x))
Answers:
[tex]f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}[/tex]
===============================================
Work Shown:
[tex]f(x) = \sqrt[3]{x}\\\\\\f(g(x)) = \sqrt[3]{g(x)}\\\\\\f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\[/tex]
The idea is to replace every x with g(x). Then you'll plug in the definition of g(x).
---------------------------------
Similarly,
[tex]g(x) = \frac{x+1}{x^3}\\\\\\g(f(x)) = \frac{f(x)+1}{(f(x))^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{(\sqrt[3]{x})^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}\\\\\\[/tex]
Write the equation of the line that passes through (-1,2) and (4,-2)
Kelsey graphed the equation y = 3x + 1 as shown below.
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
Which describes Kelsey’s error?
Kelsey graphed the y-intercept on the x-axis.
Kelsey graphed –3 instead of 3 as the y-intercept.
Kelsey graphed the slope as up 1 right 1 instead of up 1 left 1.
Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
Answer:
D. Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
Step-by-step explanation:
The equation to graph was : y= 3x + 1 where the slope is 3 and the y-intercept is 1
However, Kelsey graph line passes through points (-3, 0)and (0, 3).From these points the equation of the line is;
m=Δy/Δx where
m=the slope of the graph
Δy= 3-0 =3
Δx= 0--3 =3
m=3/3 = 1
The equation of the line should be;
m=Δy/Δx
1=y-3/x-0
1x= y-3
3+1x= y
y= 1x + 3 ----------where the slope is 1 and y-intercept is 3
So you can see here that in the original equation, the slope m is 3 and y-intercept is 1 as shown in the first attached graph.
While in the Kelsey's graph, the slope is 1 and the y-intercept is 3 as in the second attached graph.
Thus, the correct answer is D : Kelsey graphed the slope,3 as the y-intercept and the y-intercept,1, as the slope.
Answer choice A is incorrect because Kelsey didnot graph the y-intercept, 1 on the x-axis but graphed point (-3,0) on the x-axis.
Answer choice B is incorrect because on Kelsey's equation the y-intercept is 3 and not -3. i.e. y=1x + 3
Answer choice C is incorrect because Kelsey graphed the slope as up 1 right 1 which is okay per the equation , y=1x+3.However, this incorrect because the correct graph has a slope of 3.
Answer:
the answer is the last option
Step-by-step explanation:
hope this helps
have a good day
did the test on edge
A car dealership needs to transport 58 cars to a new lot. If the transport truck can haul 6 cars at a time, how many trips will the transport truck need to make?
Answer:
10
Step-by-step explanation:
We need to find how many trips it will take to transport 58 cars
The explanation is simple:
58 / 6 = 9.6 repeating
So we round that quotient up to 10.
So the transport truck will need to take 10 trips to transport all 58 cars.
Write the rate as a unit rate. 4 inches of rain in 10 hours. (Inches per hour)
Answer:
0.4
Step-by-step explanation:
4/10
What is the expected value of the spinner? And is the game fair? Correct answer gets brainiest!
Answer:
This game is not fair
Step-by-step explanation:
This game is not fair because there is a 25 percent chance of 8 and about 37 percent chance for 24 and 6
Which angle is an exterior angle of the triangle? Triangle L M N. Angle L is 1, angle M is 2, angle N is 3. Side M N extends to form angle 4. 1 2 3 4
See the diagram below. The angles 1,2, and 3 are interior angles as they are inside the triangle. The exterior angle is outside the triangle, formed by extending one side out.
Angle 4 is an exterior angle of the triangle. So Option D is correct
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
The triangle LMN,
Angle L is 1,
Angle M is 2,
Angle N is 3
It can be seen in the diagram.
The angles 1,2, and 3 are interior angles as they are inside the triangle. The exterior angle is outside the triangle, formed by extending one side out.
Hence, the exterior angle is 4
To know more about angle check:
https://brainly.com/question/28451077
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Translate this sentence into an equation.
The sum of 14 and Greg's height is 64.
Use the variable g to represent Greg's height.
Answer:
g+14=64
Step-by-step explanation:
Answer:
64=14+g
Step-by-step explanation:
Sum of two numbers is 64, so that means you put 64 before the equals sign. All that remains is g and 14. It says the sum of 14 and g (gregs height) equals 64, so you know that in the equation they have to be added together.
An account grows at an annual interest rate of r , so it grows by a factor of x=1+r each year. The function A(x)=800x 4 +350x 3 +500x 2 +600x gives the amount in the account after 4 years when the growth factor is x . What is the total amount in the account if the interest rate for the account is 3% each year? How much money was put into the account at the beginning?
Given:
Annual interest rate = r%
Growth factor : x = 1 + r
The below function gives the amount in the account after 4 years when the growth factor is x .
[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]
To find:
The total amount in the account if the interest rate for the account is 3% each year and initial amount.
Solution:
Rate of interest = 3% = 0.03
Growth factor : x = 1 + 0.03 = 1.03
We have,
[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]
Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.
[tex]A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)[/tex]
[tex]A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609 )+618[/tex]
[tex]A(1.03)=900.407048+382.45445+530.45+618[/tex]
[tex]A(1.03)=2431.311498 [/tex]
[tex]A(1.03)\approx 2431.31 [/tex]
Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.
For initial amount the rate of interest is 0.
Growth factor : x = 1 + 0 = 1
Substitute x=0 in the given function to find the initial amount.
[tex]A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)[/tex]
[tex]A(1)=800+350+500+600[/tex]
[tex]A(1)=2250[/tex]
Therefore, 2250 was put into the account at the beginning.
Number 9 please is each triangle a right triangle? EXPLAIN
It is not because a right triangle needs one right angle, and a right angle is 90 degrees
Step-by-step explanation:
Answer:
A right triangle is a triangle in which one of the angles is a 90∘ angle.
Step-by-step explanation:
The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
While working out, Susie does 25 sit-ups for every 12 push-ups. If she does 60 push-ups, how many sit-ups will she do?
Answer:
125 situps
Step-by-step explanation:
We can use a ratio to solve
25 situp x situps
--------------- = --------------
12 pushup 60 pushups
Using cross products
25 * 60 = 12x
Divide each side by 12
25*60/12 = 12x/12
125 = x
Write the equation for the vertical line going through the point (16,25).
Answer:
x=16
Step-by-step explanation:
Vertical lines are of the form
x=
Since the x coordinate is 16
x=16
Answer: 16
Step-by-step explanation: x is on 16
A company requires a password to access a data storage vault. The password must be 4 characters long and may
contain digits and lowercase letters only.
How many passwords are possible if characters can be repeated? Enter your answer as a number, like this: 425
Answer:
There are 36 possibilities per character (26 lower case letters + 10 numbers), so the total number of permutations are 36^4 = 1,679,616
Step-by-step explanation:
What is the image of (-7,-6) after a dilation by a scale factor of 1/2 centered at the origin
Answer:
(-3.5, -3).
Step-by-step explanation:
That would be (-7/2, -6/2) or (-3.5, -3)..
Answer:
(-7/2, -3)
Step-by-step explanation:
When the center of the dilation is the origin, each coordinate value is multiplied by the dilation factor.
The image point is ...
(1/2)(-7, -6) = (-7/2, -3)
factorizar por el motodo de aspas
[tex]12x^2 = 3x + 2[/tex]
Answer:
Step-by-step explanation:
12x²-3x=2
[tex]x^2-\frac{1}{4}x=\frac{1}{6}\\x^2-\frac{1}{4}x+\frac{1}{64}=\frac{1}{6}+\frac{1}{64}\\(x-\frac{1}{8})^2=\frac{ 32+3 }{192}=\frac{35}{192}\\\\(x-\frac{1}{8} )^2-(\sqrt{\frac{35}{192} } )^2=0\\(x-\frac{1}{8} +\sqrt{\frac{35}{192} } )(x-\frac{1}{8} -\sqrt{\frac{35}{192} } )=0[/tex]
Jim Kosla earns $156,200 annually as a plant manager. He is married and supports 3 children. The state tax rate in his state
is 3.55% of taxable income. What amount is withheld yearly for
state income tax?
Answer:
$5545.10
Step-by-step explanation:
3.55% of $156,200 = $5545.10
I need help! This is 8 points!
Boxing Chocolates
The chocoholic Chocolate Company wants to create three different boxes of chocolates for Valentine’s Day with 20, 32, and 36 chocolates in a box. The chocolates will be arranged in a rectangle, with the space needed for each chocolate is one square inch. The company would like to order ribbon to go all the way around the slides of each box, and the managers are wondering whether they can order the same length of ribbon for all three boxes. Is this possible?
Rewording:
3 rectangular boxes with 20, 32, and 36 sqin (square inches). Can the perimeter of all of them be the same?
Please help this is due on Sunday
Answer:
nope
Step-by-step explanation:
there are same sizes fine but the breadth isn't the same
Ratio of dolls to teddy bears is 6:5. There are 240 dolls, how many teddy bears?
Answer:
nusfj
Step-by-step explanation:
fsdafsf
3 movie tickets cost $36.At this rate what is the cost per ticket $
Answer:12
Step-by-step explanation:
Answer:
The cost per ticket is $12
Step-by-step explanation:
In order to find the answer, you would need to divide $36 by 3 to find how much it costs per ticket.
Hope this helps:)
114 = 3x +18 what is the missing vaule
Answer:
x=32
Step-by-step explanation:
Hope this helps. Have a great day and plz give brainliest.
Rita charges $50 for 5 tutoring sessions. What is the cost per session?
Answer:
10
Step-by-step explanation:
Answer:
10$
Step-by-step explanation:
If she charges 50$ per 5 session then you need to do is
50 ÷ 5 = 10
Why?
Because you can to break it down to one session.
Find the midpoint of the segment with the given endpoints. (-1,3) and (-3,-9)
Answer:
( -2,-3) is the midpoint
Step-by-step explanation:
To find the x coordinates of the midpoint, add the x coordinates of the endpoints and divide by 2
( -1+-3)/2 = -4/2 =-2
To find the y coordinates of the midpoint, add the y coordinates of the endpoints and divide by 2
( 3+-9)/2 = -6/2 =-3
( -2,-3) is the midpoint
I WILL GIVE EXTRA POINTS!!! HELPPPPP PLEASE!!!! SHOW ALL WORK!!!
Answer: 2x+52=2(x+26)
3x-35=-105
Step-by-step explanation:
If the box holds 24 of these sugar cubes, what is
the total volume of the box?
Answer:
3in^cubed
Step-by-step explanation:
Answer:
3in cubed
Step-by-step explanation: