Answer: 7 units
Step-by-step explanation: In this problem, the given numbers -3 and 4 represent the coordinates of the endpoints of a segment and we are asked to find the length of the segment.
To find the length of a segment, we take the greater endpoint coordinate minus the lesser endpoint coordinate.
In this case, the greater endpoint coordinate is 4 and the lesser endpoint coordinate is -3.
So, we have 4 - (-3) which can also be thought of as 4 + 3 which equals 7.
Therefore, the length of this segment is 7 units.
The sum of the number x and 13 is 62
9. Simplify the expression. 8 – 5(12x + 8) A) 36x + 24 B) –60x – 32 C) –60x + 16 D) –60x + 48
A sample of n = 9 scores has a variance of s2 = 144. what is the standard deviation for this sample?
The relationship between variance and standard deviation is simply:
s = standard deviation
s^2 = variance
s = sqrt (s^2)
Therefore calculating for s:
s = sqrt (144)
s = 12
So we get the standard deviation is simply 12 scores.
A $100 bill, Two $20 bills,three $10 bills, and four $5 bills are placed in the bag. If a bill is chosen at random and you have to pay $15 to play the game. what is the expected value for the game?
Final answer:
The expected value for the game is $4, which means on average a player would expect to gain $4 before the entry fee. However, after subtracting the cost to play ($15), the net expected value is -$11, indicating a loss on average for each play.
Explanation:
To determine the expected value of the game mentioned, we first identify the possible outcomes and their corresponding probabilities. Next, we multiply each outcome value by its probability, and sum up these products. Finally, we deduct the cost of the game ($15) from the sum to find the expected net gain or loss.
Probability of picking a $5 bill = 4/10
The expected value (EV) calculation would be:
EV = (1/10 * $100) + (2/10 * $20) + (3/10 * $10) + (4/10 * $5) - $15
EV = ($10) + ($4) + ($3) + ($2) - $15
EV = $19 - $15
EV = $4
Therefore, the expected value for the game is $4. This means on average you would expect to gain $4 per game before considering the entry fee. Since you pay $15 to play, you need to subtract this from the $4 gain to obtain the net expected value, which would be -$11, indicating a loss in the long run.
I need help solving this problem
Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x. Find the sum of 4x3 + 2x2 - 4x + 3 and 7x3 -4x2 + 7x + 8.
Answer:
11x^3 - 2x^2 + 3x + 11
Step-by-step explanation:
we need to find the sum of 4x^3 + 2x^2 - 4x + 3 and 7x^3 -4x^2 + 7x + 8
To find the sum we add both the polynomials
4x^3 + 2x^2 - 4x + 3 + 7x^3 -4x^2 + 7x + 8
To add the polynomials we combine like terms
4x^3 + 7x^3 = 11x^3
2x^2 - 4x^2 = -2x^2
-4x+7x= 3x
3+8 = 11
So final expression is 11x^3 -2x^2 +3x+11
Please explain this math question to me!
6(4) ÷ 2 − 1 + 5
How to know whether to use sin or cos in physics?
The daily rainfall during two week period in april weeks was:1, 0.5, 0.3, 0, 0,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches. what was the mode during this two week peroid
Answer:
0
Step-by-step explanation:
The mode of the data is 2 which occurs more frequently during these two weeks.
What is the mode?Mode is the number that appears most frequently in the given set of data. The Median represents the middle value of the given data when arranged in a particular order.
The daily rainfall during two week period in april weeks given as;
1, 0.5, 0.3, 0, 0,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches.
Calculation of the mode:
First, we Rearrange the data from the lowest to the highest value.
0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3
Since there is an even number of data, find the mode in the middle;
0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3
Therefore, the mode of the data is 2 which occurs more frequently during this two-week peroid.
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HELP ASAP!!!
Is the line through points P(-3, -2) and Q(2, 3) perpendicular to the line through points R(10, -1) and S(15, -6)? Explain.
a. No, their slopes are not opposite reciprocals.
b. No; their slopes are not equal.
c. Yes; their slopes have product -1.
d. Yes; their slopes are equal.
A parcel of air, with less than 100% relative humidity, that is rising because of heat energy derived from the surface is ______ stable. unstable. conditionally unstable.
The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? plz show me how u got the answer
The values of sine, cosine, and tangent for angle θ, where (1, -1) is on its terminal side, are sin(θ) = -1, cos(θ) = 1, and tan(θ) = -1, knowing that the point lies in the fourth quadrant.
To find the values of the sine, cosine, and tangent of an angle θ where the point (1, -1) is on its terminal side, we first recognize that this point lies in the fourth quadrant of the coordinate system. In this quadrant, cosine is positive, and sine and tangent are negative.
The point (1, -1) gives us the x and y coordinates on the Cartesian plane, which correspond to the lengths of the adjacent side and the opposite side of the right-angle triangle formed by the radius (hypotenuse) from the origin to the point, and the axes. Assuming we're dealing with a unit circle (which has a radius of 1), we can directly use the coordinates (1, -1) to find the cosine and sine:
cos(θ) = x = 1sin(θ) = y = -1tangent (θ) = y/x = -1/1 = -1Hence, for angle θ, cos(θ) is 1, sin(θ) is -1, and tan(θ) is -1.
Find the value of x for the rectangle
perimeter=26 meters
rectangle one the bottom is (x+3) m
on the right side of the rectangle (2x-6)m
Maryam earns a salary of $35,000 a year. Her benefits are equal in value to 35 percent of her salary. What is the value of Mayam's benefits?
As per linear equation, the value of Mayam's benefits is $12250.
What is a linear equation?A linear equation is an equation where there are one or multiple variables. However, the highest power of any variable is one.
Given, Maryam earns a salary of $35,000 a year.
Her benefits are equal in value to 35 percent of her salary.
Therefore, the value of Mayam's benefits is
[tex]=[/tex] $[tex]\frac{(35000)(35)}{100}[/tex]
[tex]=[/tex] $12250
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Solve:
r/5 - 6 = -1
A) r = 1
B) r = 5
C) r = 10
D) r = 25
r/5 - 6 = -1
add 6 to both sides
r/5 = 5
multiply both sides by 5
r = 5 *5 = 25
r = 25
Find all points on the curve x^2-y^2=1 passes through
It takes Lee's cat about 20 days to finish a five pound bag of cat food. Which is the best estimate of the number of pounds of cat food Lee's cat eats In one year
Based on the daily consumption calculated from the given data, Lee's cat eats approximately 91.25 pounds of cat food in a year.
Explanation:The question is asking for the estimated number of pounds of food that Lee's cat eats in one year. Lee's cat consumes a five-pound bag of food in 20 days. So, let's first determine how much he eats in 1 day. If 5 pounds is consumed in 20 days, then in 1 day, the cat eats 5/20, or 0.25 pounds.
Since there are approximately 365 days in a year, we multiply this daily consumption by 365. So, 0.25 pounds/day * 365 days/year = 91.25 pounds/year.
So, the best estimate for the amount of cat food that Lee's cat eats in one year would be approximately 91.25 pounds.
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A 20 foot ladder is leaned against a wall. if the base of the ladder is 8 feet from the wall, how high up the wall will the ladder reach? Round to the nearest tenth.
The set of possible values of m is {5,7,9}. What is the set of possible values of k if 2k=m+3
when m = 5:
2k = 5+3
2k = 8
k = 8/2
k=4
when m = 7
2k = 7+3
2k =10
k = 10/2
k = 5
when m = 9
2k = 9+3
2k = 12
k = 12/2
k = 6
k = {4,5,6}
Each of the 25 students in Mr. McDonald's class sold 16 raffle tickets. If each ticket costs $15, how much money did Mr. McDonald's students raise?
Payton created a presentation for his parents showing how his grades have improved over the past six months. what is an alternative data display that would better convey the information?
I believe that aside from the bar graph, the line graph would actually best suits to convey this information. Because just like the bar graph, we can actually see the peaks of the grades. And through the peaks, we can easily compare the grades one by one.
Answer:
line graph
A tree is standing next to a 40-foot high building. the tree has an 18-foot shadow, while the building has a 16-foot shadow. how tall is the tree, rounded to the nearest foot?
The height of the tree will be 45 feet.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
A tree is standing next to a 40-foot-high building. the tree has an 18-foot shadow, while the building has a 16-foot shadow.
Let x be the height of a tree. Then we have
x / 18 = 40 / 16
x = 45 feet
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3xy=27 linear or not
The given function 3xy = 27 is not a linear function.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
What is a linear function?A linear function is defined as when the function has the highest degree of expression is 1, such as y = mx + c.
here,
Given function,
3xy = 27,
Simplifying the function,
3xy = 27
xy = 27/3
y = 9/x
Since, from the definition of the function, the given function is 9 reciprocal of x and is said to be a reciprocal function.
Thus, the given function 3xy = 27 is not a linear function.
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The united states exports over 200 billion pounds of coal how many tons does the united states export
Answer:100,000,000 tons
word form: one hundred million tons
Step-by-step explanation:
Write the expression in complete factored form. q^2(u-9)+c (u-9)
Solve for x.
14+x>18
Enter your answer, as an inequality, in the box.
Yuto left his house at 10 a. m. to go for a bike ride. By the time Yuto’s sister Riko left their house, Yuto was already 5.25 miles along the path they both took. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, over what time period in minutes, t, starting from when Riko left the house, will Riko be behind her brother? Riko will be behind Yuto when 0 ≤ t < minutes.
(-7/10+0.15) ÷ (-0.125)
6% of 124 =
7.44
0.744
74.4
744
If you could explain would be great
Is this table represents function or not?
Answer: Yes
Step-by-step explanation: This table does represent a function. A function is where each input has exactly one output. Since none of the x-values repeat, this would represent a function.