Answer:
The slope-intercept form of the equation of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
We are given that the y-intercept is (0,2), which means that the value of b is 2.
We are also given that the slope is -2, which means that the value of m is -2.
Substituting these values into the slope-intercept form, we get:
y = -2x + 2
Therefore, the slope-intercept form of the equation of the line is y = -2x + 2.
Step-by-step explanation:
Answer:
that is correct just to give you feedback on that
1. Find the volume of the cylinder. Round to the
nearest hundredths.
5 CM
0.75 CM
Answer:
Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.
Step-by-step explanation:
To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.
The formula for the volume of a cylinder is:
V = π * r^2 * h
where π is a mathematical constant approximately equal to 3.14159.
Let's substitute the given values into the formula:
V = π * (5 cm)^2 * 0.75 cm
V ≈ 3.14159 * (25 cm^2) * 0.75 cm
V ≈ 58.909 cm^3
Applying the General Multiplication Rule A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not replaced. Let event B be choosing a black ball first and event R be choosing a red ball second. What are the following probabilities? P(B) = P(R | B) = P(B ∩ R) = The probability that the first ball chosen is black and the second ball chosen is red is about percent.
The probability that the first ball chosen is black and the second ball chosen is red is 24.24%
How do i determine the probability?First, we shall obtain the total balls present in the box. Details below:
Red ball (R) = 4Black ball (B) = 8Total ball =?Total ball = 4 + 8
Total ball = 12 balls
Next, we shall obtain the probability of chosen a black ball first. Details below:
Black ball (B) = 8Total ball = 12 ballsProbability of chosen a black ball first, P(B) =?P(B) = n(B) / n(T)
P(B) = 8 / 12
Next, we shall obtain the probability of chosen red as the 2nd ball. Details below:
Red ball (R) = 4Total pen = 11Probability of chosen red as the 2nd ball, P(R | B) =?P(R | B)= n(R) / n(T)
P(R | B) = 4 / 11
Finally, we shall obtain the probability that the first ball chosen is black and the second ball chosen is red. Details below:
Probability of chosen a black ball first, P(B) = 8 / 12Probability of chosen red as the 2nd ball, P(R | B) = 3 / 11Probability that the 1st ball is black and the 2nd is red, P(B ∩ R) =?P(B ∩ R) = [P(B) × P(R | B)] × 100
P(B ∩ R) = [(8 / 12) × (3 / 11)] × 100
P(B ∩ R) = 0.2424 × 100
P(B ∩ R) = 24.24%
Thus, the probability that the first ball chosen is black and the second ball chosen is red is 24.24%
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16 is 20 percent of?
Answer:
80.
Step-by-step explanation:
What is a positive angle less than 360 degrees that is conterminal with -289 degrees
Answer:
The positive angle that less than 360° and is conterminal with -289° is 71°
Step-by-step explanation:
When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°Let us solve the question
∵ The measure of the angle is -289°
→ Add its measure by 360° to find the positive angle that is conterminal
with it
∵ The measure of the positive angle = -289° + 360°
∴ The measure of the positive angle = 71°
The positive angle that less than 360° and is conterminal with -289° is 71°
Tony bought a video game for $15.13. He gave the clerk a $20 bill. Which of the following could be the change he received?
Answer:
$4.87
Step-by-step explanation:
20 - 15.13 = 4.87
The change man received is $4.87.
Given that, the cost of a video game=$15.13 and the bill=$20.
How do subtract whole numbers and decimals?To subtract decimal numbers from whole numbers we place a decimal point in the whole number according to the number of digits (after the decimal) in the other number. Then, we add the required number of zeros so that both the numbers have an equal length.
Now, 20-15.13=$4.87
Therefore, the change man received is $4.87.
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How likely are you to roll a B on a standard die?
A. 0/6
B. impossible
C. This question cannot be answered because there is not a Bon a standard die.
Answer:
A
Step-by-step explanation:
because you dont have a chance
EASY POINTS!
If you borrow $150 from your parents and one year later, they ask you to repay $200, what percent interest are they charging you?
250%
33.3%
71%
71.3%
Answer:
33.3%
Step-by-step explanation:
they're charging u 50 more
50 is 1/3 of 150 and 1/3 to percentage form is 33.3%
Answer:
33.3% I think
Step-by-step explanation:
Correct me if I'm wrong
200-150=50
150x33.3%=49.95
49.95+150=195.95
Close enough? nothing else works and 33.4% is over.
Jason walked to a friends house at a constant rate. It took him 6 minutes to walk 4 blocks. If his friend lives 14 blocks away how long will it take him to get to her house
6/4=1.5=14*1.5=21
21 minutes
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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based on the spss output what cna you concllude about the relationship between degree attainment and age dbrn for men
There is sufficient statistical evidence at 5% level of significance that there is relationship between degree attainment and AGEKDBRN for women.
What is ANOVA model for men?
To ascertain whether there are any statistically significant differences between the means of three or more independent (unrelated) groups, the one-way analysis of variance (ANOVA) is used.
An n-way ANOVA allows a researcher to employ more than two independent variables (with n being the number of independent variables you have). For instance, any disparities in IQ scores can be investigated concurrently by country, gender, age group, ethnicity, etc.
Relationship between degree attainment and AGEKDBRN for women
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Please help been stuck on this for hours
The size of angle ACB to the nearest degree is 88 degree.
How is a triangle ABC put together?
Construction Steps:
Create a line segment BC with the property AC = 4 cm.
Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.
Join AB and AC now. Consequently, the necessary triangle is ABC.
With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.
Cut an arc of 3 cm from point B.
Embrace BC and AC
Triangle with angle ABC is necessary.
< ACB = 88 degree
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What is the nth term rule of the linear sequence below?
-5, -2, 1, 4, 7, ...
Tn
-
The nth term rule of linear sequence is aₙ = aₙ₋₁ + 3
Linear sequence is a sequence of number in order with same difference .or same ratio.
when fixed number is added to any term of a sequence to get next term . That Fixed number is known as common difference.
The sequence in the given question
-5 , -2 , 1 , 4 , 7, . . . .
The first term of sequence : a₁ = -5
The second term : a₂ = -2
Common difference : d = a₂ - a₁
=> d = -2 - (-5)
=> d = -2 + 5
=> d = 3
The nth rule of linear sequence is aₙ = aₙ₋₁ + d
replacing the value of d
aₙ = aₙ₋₁ + 3 is nth rule of the linear sequence.
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What are the domain and the range of this function?
Answer:
D: [-5, 1)
R: [-4, 7)
Step-by-step explanation:
In the given graph:
There is a closed circle on point (-5, -4), which means that the x- and y-coordinates of this endpoint are included.
There is an open circle on point (1, 7), which means that the x- and y-coordinates of this endpoint is not included.
Therefore, we can write the domain and range of this graph in the following interval notation:
Domain: [-5, 1) where -5 ≤ x < 1
Range: [-4, 7) where -4 ≤ y < 7
Please mark my answers as the Brainliest if you find my explanations helpful :)
pls help i need answer
Answer:
14m
Step-by-step explanation:
Step1:
Consider the first right angled triangle using Pythagoras Theorem:
(hyponenus)^2 = (opposite)^2 + (adjacent)^2
20^2 = 12^2 + A^2
A^2 = 400 - 144 = 256
A = Square root of 256 = 16m
Step2:
CONSIDER THE SECOND RIGHT_ ANGLED TRIANGLE:
adjacent=24-16=8m
opposite=12m
Hypotenus=?
(hypotenus)^2 = (opposite)^2 + (adjacent)^2
H^2=12^2+8^2=
144+64
H^2=208
H=square root of 208=14.42m
To the nearest meter=14m
Hope it helps.
Answer:
b. 14 m
Step-by-step explanation:
base of left side triangle
√20²-12²= √256= 16 mbase of right side triangle
24-16= 8 mmissing length
√12²+8²= √208= 14.42 mOption b. 14 m is closest one
Find an equation of the line parallel to the graph of y = -3x – 11 that passes
through the point of (2, 4). Write your equation in slope-intercept form.
Answer:
m = − 3
Step-by-step explanation:
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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The Power of a Product rule says that when we multiply expressions with
variables we...
Answer:
simplify a power of a power by multiplying the exponents and keeping the same base.
Step-by-step explanation:
The radius of a circle is 3 yards. What is the circle's circumference?
Answer:
18.85
Step-by-step explanation:
2(3.14)(3)
plz help I will mark brainlest!
Answer: hmmmmm
Step-by-step explanation:
It’s a b or c and maybe just maybe b
Expert Card has an APR of 16.2% compounded monthly. Passport has a daily periodic interest rate of 0.0398%. Explore has a monthly periodic interest rate of 1.35%. Which card has the higher APR?
Answer:
Explore is Answer
Step-by-step explanation:
Four times a number added to 9 times the number is 65. What is the number?
Answer: 5
Step-by-step explanation:
Let the number = x.
4x + 9x = 65
13x = 65
x = 5
Answer:
5
Step-by-step explanation:
Let n represent the number. We can use this to set up an equation:
4n+9n=65
Combine like terms:
13n=65
Divide both sides by 13
n=5
The number is 5.
Cameron has a credit limit on his gasoline company credit card of $500. He has no initial balance, but has charged gasoline purchases of $25,25 and $32,33. What is Cameron’s remaining available credit?
Answer:
$442.42
Step-by-step explanation:
You want the remaining available credit on a credit line of $500 when charges of $25.25 and $32.33 have been made.
Remaining creditThe remaining credit is the original credit amount less the amount of credit used:
$500 -25.25 -32.33 = $442.42
Cameron has credit of $442.42 available.
What's the answer? How do you get to the answer?
scale factor of triangle is 20/7 = 2.8571 .
How can I figure out the scale factor of a triangle?To get the scale factor of two triangles, follow these steps:
1. Check that the two triangles are similar.
2-If the triangles are similar, identify the sides that match.
3. Subtract any known angle from the triangle and multiply the result by the matching (also known) angle in the second triangle.
As a result,
4- the scale factor is equalized by the division.
CALCULATION∵ To find scale factor of two triangle we divide the sides of the both sides
∴ the scale factor of triangle given will be 20/7 = 2.8571 .
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Need help factoring each expressions
Answer:
a. factors of 3x²-7x-6 =(x-3) and (3x+2)
b factors of 4x²-49=(2x-7) and (2x+7)
The average rate of change of g(x) between x = 4 and x = 7 is Five-sixths. Which statement must be true?
Please Assist!
What is the answer to this question???
Answer:
\((-5,\frac{1}{2} )\)
Step-by-step explanation:
Midpoint Formula: \((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\)
Simply plug in your coordinates into the midpoint formula to find midpoint:
R(-2, 3)
S(-8, -2)
\((\frac{-2+-8}{2},\frac{3+-2}{2} )\)
\((\frac{-10}{2},\frac{1}{2} )\)
\((-5,\frac{1}{2} )\)
Four friends evenly split the cost of miniature golf.They each paid five dollars.How much did it cost to play miniature golf?
Answer:
It costed $20 dollars in total
Step-by-step explanation:
Suppose Joan has a fair four-sided die with sides that are numbered 1, 2, 3, and 4.
After she rolls it 2,000 times, she finds that she rolled the number 2 a total of 187 times. Which of the following is true?
A. Joan has provided evidence that calls into question whether or not this is a fair die because the relative frequency of rolling a 2 is quite different than the theoretical probability even after repeating the experiment many times.
B. Joan has demonstrated that this is a fair die, since the relative frequency of rolling a 2 is nearly equal to the theoretical probability.
C. We cannot draw any conclusions from Joan's experience with this die because there is only a very weak link between the relative frequency of an event and the theoretical probability.
D. We cannot draw any conclusions from Joan's experience with this die without also knowing how many times the other numbers appeared.
The true statement is that Joan has provided evidence that calls into question whether or not this is a fair die because the relative frequency of rolling a 2 is quite different than the theoretical probability even after repeating the experiment many times. The answer is A.
The theoretical probability of rolling a 2 on a fair four-sided die is 1/4 or 0.25. If Joan rolled the die 2,000 times, we would expect her to roll a 2 approximately 500 times (0.25 x 2,000 = 500).
However, she only rolled a 2 187 times. The relative frequency of rolling a 2 is 187/2,000, which is 0.0935 or 9.35%. This is quite different from the expected theoretical probability of 25%, which suggests that the die may not be fair.
Joan's experience provides evidence that the die may not be fair. The relative frequency of rolling a 2 is significantly lower than the theoretical probability, indicating that the die may be biased.
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What equation is solved by the graphed systems of equations?
-4-3-2
(-1,-4)
-4
4
Please help I am confused
The equations solved by the graph are y = x + 3 and y = x - 3
How to determine the equations solved by the graphFrom the question, we have the following parameters that can be used in our computation:
The graph of systems of equations
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
Using the points on the graph, we have
Line 1: y = mx + 3
Line 2: y = mx - 3
Using the common points, we have
Line 1: -m + 3 = -4
Line 2: -m - 3 = -4
When evaluated, we have
Line 1: m = 1
Line 2: m = 1
So, we have
Line 1: y = x + 3
Line 2: y = x - 3
Hence, the equations solved by the graph are y = x + 3 and y = x - 3
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A line passes through the points (−1, −2) and (3, 3). Find its x- and y-intercepts.
3/5 and -3/4 are the x and y-intercept of the line respectively
Determining the equation of a line'Given the coordinate points (−1, −2) and (3, 3), we need to determine the x and y-intercept
The equation of a line in slope intercept form is y = mx + b where:
m is the slope
b is the intercept
For the slope:
slope = 3-(-2)/3-(-1)
Slope = 5/4
For the y- intercept
3 = 5/4(3) + b
3 = 15/4 + b
b = 3 - 15/4
b = -3/4
Hence the equation of the line is. y = 5/4 x - 3/4
For the x-intercept
The x-intercept is the point where y = 0
0 = 5/4 x - 3/4
5/4 x = 3/4
5x = 3
x = 3/5
Hence the x- and y-intercepts of the line are 3/5 and -3/4 respectively.
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