Given problem;
Write and algebraic expression for the number of awards Tomi's band has won;
Let the number of award Tomi's band has won = T
Let the number of award All's band has won = A
We know;
Tomi's band has won twice as many awards as All's band.
T = 2 x A
T = 2A
The algebraic expression is T = 2A
What is the greatest common factor of 12,18,26
A recently admitted class of graduate students at a large state university has a mean GRE verbal score of 650 with a standard deviation of 50. The scores are reasonably normally distributed. Five students have parents who happen to be on the board of trustees, and these students were admitted with a mean GRE score of 490. Should the local newspaper editor write a scathing editorial about favoritism?
Answer:
The answer is below
Step-by-step explanation:
The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:
[tex]z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16[/tex]
From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%
Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism
Solve for x.
8x=4x−32
A)x = 8
B)x = 4
C) x=−4
D) x=−8
Answer:
x=-8
Step-by-step explanation:
i took the quiz
Answerd
Step-by-step explanation:
Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-5,-) OB. (-2,-4) O C. (1,-6) O D. (-:-)
Answer:
B. (-2,-4)
Explanation
Given equations:
y = 3x + 2
y = -2x - 8
Solving both equations will yield the values of x and y;
Solution:
y = 3x + 2 ----- (i)
y = -2x - 8 ------ (ii)
Using substitution method, input equation i, into ii
3x + 2 = -2x - 8
Collect like terms and solve;
3x + 2x = -8 -2
5x = -10
x = -2
Then put x = -2 into i, to find y
y = (-2 x 3) + 2
y = -6 + 2 = -4
So, the solution of the equation is B. (-2,-4)
what is the sum of 5.3 x 10the power of 5 and 3.8 x 10 power to the 4 in a scientific notation
Answer:5.68x10^5
Step-by-step explanation:
Consider the experiment of tossing a coin twice.
a. List the experimental outcomes. (Let H represent a coin landing on heads and T represent a coin landing on tails.)
b. Let denote the number of heads occurring on two coin tosses. Show what value the random variable would assume for each of the experimental outcomes.
c. Define a random variable that represents the number of heads occurring on the two tosses.
d. Is this random variable discrete or continuous?
Answer:
Kindly check explanation
Step-by-step explanation:
Experiment of tossing a coin twice :
A.) Experimental outcome:
Head = H ; Tail = T ;
Head and Head = HH
Tail and Tail = TT
Head and Tail = HT
Tail and Head = TH
Number of head(s) on toss = z
C)
Experimental outcome ___number of heads(z)
HH _____________________2
TT _____________________ 0
TH _____________________ 1
HT _____________________ 1
D) the random variables defined are discrete because they are only take up integer values within a specified range
The following conclusions of the random variable will be
a. Total outcome = 4 {HH, HT, TH, TT}
b. The experimental outcomes = 2 {TH, HH}
c. The experimental outcomes = 1 {HH}
d. Random variable is discrete.
What are random variables?Random variables are rules relating the sample space's elements to real numbers.
What are discrete random variables?Those random variables, which take only distinct values, are called discrete random variables.
What are continuous random variables?Those random variables, which take any value from a given continuous interval of real numbers are called continuous variables.
The experiment of tossing a coin twice.
The total number of outcomes will be
Total outcome = 4 {HH, HT, TH, TT}
a. List the experimental outcomes.
Total outcome = 4 {HH, HT, TH, TT}
b. The number of heads occurring on two coin tosses.
The experimental outcomes = 2 {TH, HH}
c. A random variable that represents the number of heads occurring on the two tosses.
The experimental outcomes = 1 {HH}
d. Random variable is discrete.
More about the random variable link is given below.
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simplify the expression. write your answer in scientific notation
(9.6x10^3) x (6.7x10^2)
Match each unit rate to its ratio. PLEASE HELP
Answer:
1½ gallons per minute3 gallons per minute ⅔ gallon per minute 9 gallons per minuteStep-by-step explanation:
You have to divide both numbers.
Rewrite 1/4 barrel over 2/3 of an hour as a unit rate
A.2 2/3
B. 1/6 barrel/hour
C. 6 barrels/hour
D. 3/8 barrel/hour
Answer:
d
Step-by-step explanation:
How do you do b,c,d?
Step-by-step explanation:
(b) x is at 2 twice, and -2 twice.
y is at 2 three times, and -2 three times.
The graph that fits is I.
(c) x is at 2 twice, and -2 twice.
y is at 2 once, and is never negative.
The graph that fits is IV.
(d) x is at 2 and stays there for a period of time.
y is at -2 and stays there for a period of time.
The graph that fits is II.
Find the value that makes the equation
2d + 4 = 12 true.
Answer:d=12
Step-by-step explanation:
the fraction below represents two factions of the same whole. How much of the 5/6 is in the 1/3?
A.2/5
B.1/2
C.5/9
D.6/9
Consider the tables.
Which table shows input and output values that
represent a quadratic function?
Table A
x
fx)
-10
8
-8
4
-6
0
4
4
2
48
O Table A
O Table B
Table B
X
fx)
46
--10
-1,002
8
-514
4
-66
-218
Table C
O Table D
-2
410
Table C
-10
1,002
8
802
46
602
4
402
12
202
fix)
Table D
X
f(x)
-10
-112
-8
--76
-6
1148
4
28
2
16
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Mark this and retum
Answer:
i think its a
Step-by-step explanation:
The ratio of the change in the y and x values, in the table gives the slope
graph of the linear function.
Correct response:
The slope of the linear function is -6
What is slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as, dx/dy.
here, we have,
Method used for finding the slope
From the given table, we have;
The first difference of the y-values = 2 - 8 = -6 = Constant
The rate of change of the x-values = 1 = Constant
Therefore;
The function is a linear function;
The slope, m, is given by the formula;
m = y2 - y1/x2-x1
Taking a pair of points as follows;
(0, -4) = (x₁, y₁)
(2, -16) = (x₂, y₂)
We have;
m = -6
The slope of the linear function, m = -6
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Complete question:
The table represents a linear function.
What is the slope of the function?
0-6
O 4
х
-2
-1
0
1
2
у
8
2
-4
-10
-16
04
O 6
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I would like someone to help please, find the reciprocal of 10 1/2
Answer:
2/11
Step-by-step explanation:
10 1/2 is the same as 11/2. The reciprocal of 11/2 is 2/11
Select the correct expressions.
Which expressions are equivalent to 3x + 2(x - 1) - 4?
3x + 2x - 2 - 4
5x6
3(x-4)
3(x + 2) - 6
6(x - 1)
The perimeter of a rectangle is 100 ft , if the wife is 20 ft what is the value of the length?
Answer:
30
Step-by-step explanation:
since the width is 20, there are 2 sides, so multiply by 2 and it's 40. Subtract 40 from 100 and you get 60. 60 is both lengths combined, so divide by 2 and you have 30 as your length. :)
I need help please. Thank you in advance.
Answer:
(-5,2); opens up
Step-by-step explanation:
In the equation y = a(x − h)² + k, if a is positive it opens up
The vertex is: (h, k)
Since in the equation h is multiplied by a negative one, you have to flip the sign of h in the equation.
(x-(-5)) = (x+5)
Help help help me on this math
Answer:
x=2
Step-by-step explanation:
4x-9=-1
+9 = +9
4x=9+(-1)
4x=8
divided by 2
x=2
Hope this helps :)
A rectangle has an area of 6x ^ 2 + 7x - 3 square units. Which of the following could represent the perimeter of the rectangle in terms of ?
A piece of pine is 6 feet long,1 foot wide,and and 5 foot thick and weighs 90 pounds,what is the volume? What is the density?
Truckco manufactures two types of trucks: 1 and 2. Each truck must go through the painting shop and assembly shop. If the painting shop were completely devoted to painting Type 1 trucks, then 800 per day could be painted; if the painting shop were completely devoted to painting Type 2 trucks, then 700 per day could be painted. If the assembly shop were completely devoted to assembling truck 1 engines, then 1,500 per day could be assembled; if the assembly shop were completely devoted to assembling truck 2 engines, then 1,200 per day could be assembled. Each Type 1 truck contributes $300 to profit; each Type 2 truck contributes $500. formulate an LP that will maximize Truckco’s profit.
Answer:
Step-by-step explanation:
Let y represent type 2 truck and x represent type 1 truck. The painting can be represented by the inequality:
[tex]\frac{x}{800}+\frac{y}{700}\leq 1[/tex] (1)
The assembling can be represented by the inequality:
[tex]\frac{x}{1500}+\frac{y}{1200} \leq 1[/tex] (2)
Also, x, y ≥ 0
The objective function is given as:
max z = 300x + 500y
Plotting 1 and 2 using online geogebra
From the graph, the optimal value is at (0,700). Hence:
max z = 300(0) + 500(700) = $350000
Find the approximate length of a 90 degree arc in a circle of radius 14 ft
round each number to the nearest ten 74.362 28.45 13.09
Answer:
74, 30, 13
Step-by-step explanation:
Answer: 74, 28 and 13
Step-by-step explanation:
For each line, determine whether the slope is positive, negative, zero, or undefined.
Line 1
Line 2
Line 3
Line 4
O Positive
Negative
O Zero
O Undefined
O Positive
O Negative
O Zero
O Undefined
O Positive
O Negative
O Zero
O Undefined
O Positive
O Negative
O Zero
O Undefined
Answer:
1. Negative
2. Undefined
3. Positive
4. Zero
Step-by-step explanation:
just took notes on subject and know answer. 100% sure its right
The slope of a line is determined by its steepness.
The formula for calculating slope is expressed as;
[tex]\frac{\triangle y}{\triangle x} = \frac{y_2-y_1}{x_2-x_1}[/tex]
For the first graph, we can assume the coordinates (-1, 0) and (0, -2), the [tex]\frac{\triangle y}{\triangle x} = \frac{-2-0_1}{0-(-1)}\\\frac{\triangle y}{\triangle x} = \frac{-2}{1}\\\frac{\triangle y}{\triangle x} = -2\\\\[/tex]
Since the slope is -2 which is a negative value, hence the slope of LlNE 1 is negative
For the vertical line, since the line is parallel to the y axis and the change in the x-value is zero, hence the slope of LINE 2 will be UNDEFINED
For the THIRD graph, we can assume the coordinates (2, 0) and (0, -2), the [tex]\frac{\triangle y}{\triangle x} = \frac{-2-0}{0-2}\\\frac{\triangle y}{\triangle x} = \frac{-2}{-2}\\\frac{\triangle y}{\triangle x} = 1\\\\[/tex]
Since the slope is 1 which is a negative value, hence the slope of LlNE 3 is positive
For the horizontal line (fourth graph), since the line is parallel to the x-axis and the change in the y-value is zero, hence the slope of LINE 4 will be ZERO
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Suppose it takes John 18 minutes to run 3 miles. How long would it take him to run 7 kilometers? round to the nearest minute
Answer: 26 Minutes
Step-by-step explanation:
3 mi * 1.609 km/1 mi = 4.82 km
4.82 km/ 18 minutes = 7 km/ x minutes
4.82x=18*7
x=126/4.82
x=26.14 ~ 26 Minutes
One mile contains 1 mile = 1.690KM.
According to the if we convert 7km into miles 4.3496 miles. Thus the correct answer for the question is 26 minutes
Explanation:
That its taken the when john runs 18 minutes for 3 miles that is km4.82 than if we consider 1.34 miles is required to be covered more when subtract the value 4.3496-3.0000-1.34miles it should be 13is half of it multiply by 2 minutes more is required to cover the left distance is carried by Dividing 18by 1.34 and multiplying by 2
Thus we conclude that above answer to the Question is correct
To know more about the miles and kilometers
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Find the area of polygon PQRS.
A. 7 units squared
B. 12 units squared
C. 17 units squared
D. 22 units squared
Answer:
12 unit squared....................
It is known that Ray AP bisects angle CAT. If m<CAT = 5x+17 and m<PAT = 3x-4, then determine the value of x.
Answer:
x = 25
Step-by-step explanation:
It is given that, ray Ray AP bisects angle CAT. It means,
[tex]\angle CAT=\angle CAP+\angle PAT[/tex]
Also, [tex]\angle CAP = \angle PAT[/tex]
It gives, [tex]\angle CAT=2\angle PAT[/tex]
ATQ,
[tex]\angle CAT = 5x+17 \ \text{and}\ \text{PAT}=3x-4[/tex]
So,
[tex]5x+17=2(3x-4)\\\\5x+17=6x-8[/tex]
Taking like terms together,
[tex]5x-6x=-8-17\\\\-x=-25\\\\x=25[/tex]
So, the value of x is 25.
Zoe bought 1.5 pounds of apples for $3.50 per pound. She wanted to find the total cost using partial products.
Answer:
She spent $5.25
Step-by-step explanation:
The total cost of the apples is $5.25 if Zoe bought 1.5 pounds of apples for $3.50 per pound.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Zoe bought 1.5 pounds of apples for $3.50 per pound.
Let x be the total cost of the product:
x = 3.50x1.5
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
x = $5.25
Thus, the total cost of the apples is $5.25 if Zoe bought 1.5 pounds of apples for $3.50 per pound.
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Which scenario could represent the expression −100÷5?
A baker evenly places 100 cookies among 5 sheet pans. How many cookies does the baker place on each sheet pan?
A baker evenly places 100 cookies among 5 sheet pans. How many cookies does the baker place on each sheet pan?
A group of 5 friends decide to split a debt of $100 evenly among each other. How much does each friend owe?
A group of 5 friends decide to split a debt of $ 100 evenly among each other. How much does each friend owe?
A person eats 5 cups of popped popcorn for a total of 100 calories. How many calories are in each cup of popped popcorn?
A person eats 5 cups of popped popcorn for a total of 100 calories. How many calories are in each cup of popped popcorn?
A principal evenly splits 100 students into 5 teams for a field day. How many students are on each team?
A principal evenly splits 100 students into 5 teams for a field day. How many students are on each team?
Answer:
_20
Step-by-step explanation:
that is my answer I just use calculator and I get that answer
What is the distance between the points (15, -18) and (-6, -18) in the coordinate plane?
Answer:
the distance will be 21 whatever feet and so on. :)
hope this helps