Answer:
The equation of your line is y=1x+2
Step-by-step explanation:
first you take y2-y1/x2-x1
y2=-1 y1=5
x2= -3 x1= 3
that gives you your slope so (-1-5)/ (-3-3) = 1
y=mx+b
mx is your slope
y=1x+b
to solve for b you input your slope and one of your points (I used (3,5)
5=1(3) +b
solve for b and you get 2
then put your mx and b into the equation of a line
y=1x+2
and thats your answer
You can also check your work by using a graphing calculator and checking that the line goes through those two points.
At the end of the party, he and his 7 guests had eaten only ½ of the pizzas and ⅓ of the bags of chips. How much pizza and chips were left over?
Answer: 1/2 of pizza and 2/3 of chips are left.
Step-by-step explanation:
Pizza- 1 minus 1/2 is a 1/2
Chips- 1 minus 1/3 is 2/3
please help to solve this question
Answer:
x= m+3
y= m-3
now,
x+y+1 = 2m
or, m+3+m-3+1 = 2m
or, 2m+1 =2m
or, 3m=2m
or, m= 3/2 is the answer
In what place is the digit 3 in the number 427.53?
please help with this question
The probability of the sample mean being less than 25.3 is given as follows:
0.9713 = 97.13%.
The sample mean would not be considered unusual, as it has a probability that is greater than 5%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)
The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:
Z = (25.3 - 25)/0.1576
Z = 1.9
Z = 1.9 has a p-value of 0.9713.
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why does the equation 3x+7=-3x+2+6x has no solution?
Answer:
\(3x+7=-3x+2+6x\)
Combine the like terms on the right side of the equation.
\(3x+7=3x+2\)
Eliminate 3x from the equation.
\(7\neq 2\)
Seven will never equal 2.
Step-by-step explanation:
\(3x+7=-3x+2+6x\)
Combine the like terms on the right side of the equation.
\(3x+7=3x+2\)
Eliminate 3x from the equation.
\(7\neq 2\)
Seven will never equal 2.
Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?
Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
How to determine which day of the week was their exam scheduledTo determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.
If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.
Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.
However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.
Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
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Divide 3 2/3 ÷ 2 1/3. Simplify the answer and write it as a mixed number.
Answer:
The answer is \(1 \frac{4}{7}\)
Step-by-step explanation:
First, you convert \(3 \frac{2}{3}\) to an improper fraction. That is \(\frac{11}{3}\). Do the same for the other number.
Next, use KFC, or Keep, Flip, Change.
Keep the first number
Flip the second
Change the operation. Division becomes Multiplication. You should've gotten \(\frac{11}{3}\)x\(\frac{3}{7}\).
You can simplify now. You would've gotten 11 * \(\frac{1}{7}\). Multiply and you would get \(\frac{11}{7}\). Simplify into a mixed number. The answer is \(1 \frac{4}{7}\).
The table shows the monthly rainfall at a measuring station. What is the mean monthly rainfall? Round your answer to the nearest thousandth.
The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.
To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:
| Month | Rainfall (in inches) |
|-------|----------------|
| January | 2.3
| February | 1.7
| March | 3.2
| April | 2.9
| May | 2.5
To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:
Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5
Calculating the sum of the rainfall values:
Mean Monthly Rainfall = 12.6 / 5
Dividing the sum by the number of months:
Mean Monthly Rainfall = 2.52
Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.
Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.
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Which relationships describe angles 1 and 2?
Select each correct answer.
1. supplementary angles
2. vertical angles
3. adjacent angles
4. complementary angles
Answer:
supplementary
Step-by-step explanation:
angle adds to 180 degrees
what is the largest number in the form x987yz that is divisible by 12?
Answer:
998796
Step-by-step explanation:
For a number to be divisible by 12. it must be divisible by 3 and 4
Since we need the largest 6 digit number, we will take x = 9
So the number is 9987yz
Again since we need the largest number we will consider the largest 2 digit number multiple of 4 and 3.
Largest 2 digit number divisible by 4 is 96, which is also divisible by 3.
So, yz = 96
Therefore , the largest number in the form will be : 998796
Answer:
The largest number is 998796
------------------------------------------------------
The largest digit you could use is 9 so, our number would be, 998799,
but the thing is that it's not divisible by 12.
The next largest would be 8. (998798) Not divisible.
7, so our number would be, 998797. Not divisible.
6, 998796. 998796/12= 83233, which means that it is divisble, so, the largest number in the form x987yz that is divisble by 12 is 998796
Please correct me if I'm wrong.
Someone please help me
All irrational numbers are real numbers.
True False
Answer:
true
Step-by-step explanation:
every number is a real number
a playpen for a large dog has 12 panels. Each panel is 2 feet long. There are 3 different ways to arrange the panels so that each playpen has a different set of dimensions. Draw the shape of each possible playpen. Label the length and width of each playpen.
The drawing of the 3 different ways (obtained by writing the equation related to the information in the question) to arrange the panels that gives the 3 playpens different dimensions created with MS Word is attached.
What is a mathematical equation?An equation is a mathematical (representation) of a statement that connects two expressions with an equals sign.
The number panels on the playpen = 12
Length of each panel = 2 feet long
The number of ways to arrange the panel = 3 ways
The number of panels on each side of the playpen can be found using the equation;
2·a + 2·b = 12
Where;
a and b are natural numbers (integers larger than zero)
a and b are the number of panels on a width and the adjacent length of the playpen
Therefore;
(2·a + 2·b)/2 = 12/2 = 6
2·(a + b)/2 = 6
a + b = 6
b = 6 - a
Fist configuration
When a = 1, b = 6 - 1 = 5
a = 1, b = 5
One configuration is therefore; the width of the playpen contains one panel and the length of the playpen contains 5 panelsSecond configuration
When a = 2, b = 6 - 2 = 4
a = 2, b = 4
The second configuration is; There are two panels along the width of the playpen and four panels along the playpen's length.Third configuration
When a = 3, b = 6 - 3 = 3
The third configuration is therefore; The width of the playpen has 3 panels and the length of the playpen has three panels.Please find attached the shape of the three playpens based on the three possible arrangements created with MS Word
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The hexagonal prism below has a height of 9 units and a volume of 216.9 units. Find the area of one of its bases.
Answer:
The answer is 24.1 unit²
Step-by-step explanation:
Volume of prisms=cross sectional area×h
cross sectional area=Volume of prisms/height
A=216.9/9
A=24.1 unit²
Penguin or Duck?
A teacher asked a group of students,
"Which would you rather be, a penguin
or a duck?"
3 students chose penguin.
6 more students chose duck than chose penguin.
How many students would rather be a duck?
Answer:
9 students chose duck
Step-by-step explanation:
The question says "6 more students chose duck than chose penguin"
This means that you would add 6 to the number that chose penguin, which is 3.
6 + 3 = 9
Answer:
9
Step-by-step explanation:
6+3=9
and this is very is easy
Let A, B, C be three points with position vectors a, b, c respectively. You may assume that the three points A, B, C do not all lie on the same straight line. Let D, E, F be the midpoints of the line-segments BC, AC, AB respectively. What is the point with position vector 1/3 (a+b+c)?
The midpoint of three points with the position vector 1/3(a + b + c) is given by:
P = (b + c - B - C) / 2 + (1/3)(b + c)
The point with the position vector 1/3(a + b + c) is given by:
P = F - (2/3)D - (1/3)E + (1/3)(b + c)
To find the point with the position vector 1/3(a+b+c), we can use the fact that the position vector of a point that divides a line segment in a given ratio can be found by taking the weighted average of the position vectors of the endpoints.
Given that D, E, and F are the midpoints of line segments BC, AC, and AB, respectively, we know that:
D = (B + C) / 2
E = (A + C) / 2
F = (A + B) / 2
To find the point with the position vector 1/3(a+b+c), we can substitute a = 3F - 2D - E into the equation:
1/3(a + b + c) = 1/3((3F - 2D - E) + b + c)
Expanding the equation further:
1/3(a + b + c) = 1/3(3F - 2D - E + b + c)
= (F - (2/3)D - (1/3)E) + (1/3)(b + c)
Therefore, the point with the position vector 1/3(a + b + c) is given by:
P = F - (2/3)D - (1/3)E + (1/3)(b + c)
Substituting the midpoints:
P = (A + B) / 2 - (2/3)((B + C) / 2) - (1/3)((A + C) / 2) + (1/3)(b + c)
= (A + B - 2B - 2C - A - C + b + c) / 2 + (1/3)(b + c)
= (b + c - B - C) / 2 + (1/3)(b + c)
Therefore, the midpoint of three points with the position vector 1/3(a + b + c) is given by:
P = (b + c - B - C) / 2 + (1/3)(b + c)
The point with the position vector 1/3(a + b + c) is given by:
P = F - (2/3)D - (1/3)E + (1/3)(b + c)
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I really need help with this
Orden the Numbers 3/10, 1/5, 0.25 from last yo greatest
Answer:
1/5, 0.25, 3/10
Step-by-step explanation:
1/5=2/10= 0.2
3/10= 0.3
hopefully this is helpful
Answer:
0.25,1/5,3/10 is the order from last to greater.
Step-by-step explanation:
Hope it will help you :)
3n+14=-4 =?
Please do this this right (my grade depends on it)
Answer:
Step-by-step explanation:
-6
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Determine the value of the variable that makes the equation true.
b + (-8.3) = 0
The value of the variable that makes the equation true is: b = 8.3.
How to Determine the value of a Variable in an Equation?By isolating the given variable in an equation to one side of the equation, we can find out its value which will make the equation true.
Given the equation, b + (-8.3) = 0
b - 8.3 = 0 [plus times minus = minus]
Add 8.3 to both sides of the equation, to isolate variable b
b - 8.3 + 8.3 = 0 + 8.3
b = 8.3
Let's check if the value of b would make the equation true by plugging in the value of b:
b + (-8.3) = 0
8.3 + (-8.3) = 0
8.3 - 8.3 = 0
0 = 0 [true]
Therefore, the value of the variable that makes the equation true is: b = 8.3.
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SOMEONE PLEASE HELP
The number of chips of different colors in Gail's bag is shown below
-2 blue chips
-4 pink chips
-8 white chips
Gail takes out a chip from the bag randomly without looking, She replaces the chip and then takes out another chip from the bag. What is the probability that Gail takes out a white chip in both draws?
Answer:
8 over 15 multiplied by 7 over 14 is equal to 56 over 210
8 over 15 plus 7 over 14 is equal to 217 over 210
8 over 15 plus 8 over 15 is equal to 16 over 15
8 over 15 multiplied by 8 over 15 is equal to 64 over 225
She's taking it out and then she replaces it
and so that means the denominator would stay 15 both times
and since it's a white chip in both draws, it would be 8/15 * 8/15
The linear combination method is applied to a system of equations as shown. 4(.25x + .5y = 3.75) → x + 2y = 15 One-fourth(4x – 8y = 12) → x – 2y = 3 2x = 18 What is the solution of the system of equations? a(1,2) b(3,9) c(5,5) d(9,3)
Answer:
D
Step-by-step explanation:
because i took the test
Answer:
Option D: (9,3)
Step-by-step explanation:
Kai is swinging on a trapeze in a circus show. The horizontal distance between Kai and the edge
of the stage, in meters, is modeled by D(t) where t is the time in seconds. The function is
graphed below, along with one segment highlighted.
The sinusoidal expression of the function is D(t) = -cos(3t)
What is sinusoidal expression?A sinusoidal alternating current can be represented by the equation i = I sin ωt, where i is the current at time t and I the maximum current. In a similar way we can write for a sinusoidal alternating voltage v = V sin ωt, where v is the voltage at time t and V the maximum voltage.
here, we have to,
to determine the sinusoidal expression:
When he pushes off, he is 1 m behind the center.
This means that:
Amplitude, a = 1.
But we use, a = -1 because he is behind
The graph has a minimum point at (0,-1) and then intersects its midline at (π/6, 0).
So, the period B is: 2π/B = 4 * π/6 and the vertical shift (d) is 0
Simplify 2π/B = 4 * π/6
2π/B = 2π/3
By comparison, we have:
B = 3
The function is given as:
a cos(Bt) + d
Substitute the calculated values
D(t) = -cos(3t)
Hence, the sinusoidal expression of the function is D(t) = -cos(3t)
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Answer:
period and he completes a swing in ten seconds
Find the slope to the line parallel to f(x)=-3x+12
Answer: -3
Step-by-step explanation:
Parallel lines have the same slope.
The slope of f(x)=-3x+12 is -3.
Slope: -3
Answer:
The slope would be -3
Step-by-step explanation:
The number before the x represents the slope. Parallel lines have the same slope.
Write an
equation that passes through the origin with a rate of change equal to 1
Answer:
y = x
Step-by-step explanation:
Rate of change is also known as the gradient of a curve and denoted as "m".
If the rate of change is equal to one then "m" is equal to 1
In the general equation of a straight line:
y = mx + c
this would look like:
y = 1x
If it passes through the origin it intercepts the y-axis at 0 so c = 0
y = x + 0
or
y = x
(Please mark as brainliest)
5(20 + _ )= 100 + 85
I need help fast
Answer:
_ = 5
Step-by-step explanation:
Answer:
17Step-by-step explanation:
5(20 + x) = 100 + 85100 + 5x = 100 + 855x = 85x = 17Write the expression that represents the area of the rectangle shown.
Answer:
A = Length × breath
A = 3 × 7
A = a × 4
A = m × m
The graph of the function B is shown below. If B(x) = -1, then what is x? -1 1 2 NEXT QUESTION
Answer:
x is -1/b yw
Step-by-step explanation:
8.2 % of what number is $2.13?
Answer:
Step-by-step explanation:
174
Answer:
i believe its 26
Step-by-step explanation:
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