Answer: y = 2x+12
Step-by-step explanation:
y = mx + b
the Ys are going down by 6 each time
the Xs are going adding up by 3 each time
radio: 6/3 = 2
that's our slope
--------------------------------
when x is 0 then the y will be our b
which is 12
all together
y = 2x+12
Help please ASAP will mark brainliest!!!!
Answer:
43
Step-by-step explanation:
A certain test preparation course is designed to help students improve their scores on the MCAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 7 students' scores on the exam after completing the course: 37,12,12,17,13,32,23 Using these data, construct a 80% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 1 of 4 : Calculate the sample mean for the given sample data. Round your answer to one decimal place.
Answer:
The 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).
Step-by-step explanation:
The net change in 7 students' scores on the exam after completing the course are:
S = {37 ,12 ,12 ,17 ,13 ,32 ,23}
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{7}\times 146=20.857\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}}=\sqrt{\frac{1}{7}\times 622.8571}=10.189[/tex]
As the population standard deviation is not known, a t-interval will be formed.
Compute the critical value of t for 80% confidence interval and 6 degrees of freedom as follows:
[tex]t_{\alpha/2, (n-1)}=t_{0.20/2, (7-1)}=t_{0.10,6}=1.415[/tex]
*Use a t-table.
Compute the 80% confidence interval for the average net change in a student's score after completing the course as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times\frac{s}{\sqrt{n}}[/tex]
[tex]=20.857\pm 1.415\times\frac{10.189}{\sqrt{7}}\\\\ =20.857\pm 5.4493\\\\=(15.4077, 26.3063)\\\\\approx (15.4,26.3)[/tex]
Thus, the 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).
Find the measure of the third angle of a triangle given the measures of two angles.
34 and 88
Answer:
58
Step-by-step explanation:
All three angles of a triangle have to add up to 180. Given this we can do the following problem:
180-34-88 = 58
6200 divided by 163 i need the answer or ill fail
Answer:
38.04
Step-by-step explanation:
6200/163= 38.036809816
Since after the 3 is a 6 which is over 5 you can round the 3 up to a 4 and cut everything else off.
Hope this helps. Plz give brainliest.
6200 divided by 163 is equal to 38 with a remainder of 6.
We have,
The concept used to divide 6200 by 163 is a long division.
Long division is a method of dividing two numbers by repeatedly subtracting multiples of the divisor from the dividend until the remainder becomes smaller than the divisor.
It involves dividing digit by digit, starting from the leftmost digits of the dividend and moving towards the right.
Now,
To divide 6200 by 163, we perform a long division.
Here's how it works:
38
__________
163| 6200
4890
______
1310
1304
______
6
The quotient is 38, and the remainder is 6.
Therefore,
6200 divided by 163 is equal to 38 with a remainder of 6.
Learn more about expressions here:
https://brainly.com/question/3118662
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Find the common difference of the arithmetic sequence 10,1,-8,...
Common difference = Second term - first term
Common difference = 1 - 10
Common difference = - 9
Robert I'm $10 which was 4less than twice which Eric earned how much money did Eric earn
Answer: Eric earned $7
Step-by-step explanation:
Let's define:
R = money that Robert earned.
E = Money that Eric earned.
Now we want to find how much money did Eric earn.
We know that:
R = $10 = 2*E - $4
Whit this equation, we can find the value of E. So we must isolate the variable E in one side of the equation:
2*E = $10 + $4 = $14
E = $14/2 = $7
Eric earned $7
Which of the following ordered pairs is a solution to the inequality y>−2x+7?
Answer: x>-1/2y+7/2
Step-by-step explanation:
Juan needs to rent a car for his road trip to Savannah, GA. Juan asks his friends if he knows how much the car rental costs. Nadia says she paid $50 for a two-day car rental. Johanna says she paid $75 for a three-day rental, and Kristine paid $100 for a four-day rental.
Juan made the table below to help him visualize how much his car rental will cost.
Answer:
ok whats the question?
Step-by-step explanation:
i only see the explanation
What is the equation of the line graphed below?
How do you know if a sum or product will result in a rational or irrational number?
find the value ofx in the equation 3x+1=×+9.
Answer:
x = 4
Step-by-step explanation:
First, you subtract 1 from both sides, giving you 3x = x + 8
Then you subtract 1x from both sides, so 2x = 8
Divide the 2 from both sides which leaves you with the answer, x = 4
At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD~=EFGH, find AD
(Diagrams are not to scale)
AD= ? ft
Answer: 300ft
Step-by-step explanation:
the distribution of the diameters of douglas fir trees in a plot of national forest land is approximately normal with a standard deviation of 1.6 inches. how does the diameter of a douglas fir tree in the 28th percentile compared with the mean diameter
Answer:
1.0
Step-by-step explanation:
this is a aplication of the terms
The measure of an angle is seventy-four times the measure of its supplementary angle. What is the measure of each angle?
x = measure of the angle
180 - x = measure of supplement {supplementary angles add up to 180}
x = 74(180 - x) {measure of the angle is 174 times the supplement}
x = 13,320 - 74x {used distributive property}
75x = 13,320 {added 74x to each side}
x = 177.6 {divided each side by 177.6}
the angle is 177.6
the supplement is 2.4
<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2
Answer:
122 Degrees
Step-by-step explanation:
Since we are given that angle 1 and 2 make a linear pair:
angle 1 + angle 2 = 180 degrees ----------------------------(1)
We have also been told that angle 2 is 6 more than twice the measure of angle 1
Which means: angle 2 = (2*angle1) + 6 -------------------(2)
From putting the value of angle 2 in (1) from (2)
angle 1 + 2*angle 1 + 6 = 180
3*angle 1 = 174
angle 1 = 58 degrees -----------------------(3)
From (1) and (3):
angle 2 + 58 = 180
angle 2 = 122 degrees
Therefore, the measure of angle 2 is 122 degrees
44 plus 48 distributive property
Answer:
92
Step-by-step explanation:
44 plus 48 can be rewritten as:
4(11 + 12), which, in turn, simplifies to:
4(23), or 92
Next time, please include all of the instructions. Thank you.
Do you like a newspaper has letters to the editor for 60 people. If it’s number represents 5% of all the newspaper readers how many readers of the newspaper have
Answer:
5÷100
=0.05
0.05×60
=3
Answer:
1200 readers
Step-by-step explanation:
Let x = number of readers
x* 5% = 60
Change to decimal form
x* .05 = 60
Divide each side by .05
x * .05/.05 = 60/.05
x =1200
What is five times the difference of a number and three?
Btw I need answer immediately
Answer:
t=x+3
y = (x+3)^2 + 5
y = x^2+6x + 9 + 5
y= x^2 + 6x + 14
Answer:
5 times x-3?
Step-by-step explanation:
Sorry if its wrong i didn't really understand what you wanted.
Coach Brown made 50 pints of Gatorade for his team. How many gallons did he make?
Answer:
6.25 gallons
Step-by-step explanation:
Answer:
6.25
Step-by-step explanation:
Molly is planting the flowers using the proportional relationship of 18 pink flowers to 12 white flowers per row.
Find the ratio of pink flowers per white flower per row
Answer:
3 : 2.
Step-by-step explanation:
18 : 12 Divide both values by 6:
= 3 : 2.
Answer:
Step-by-step explanation:1.5
5
Which input value produces the same output value for
the two functions on the graph?
x = -1
x = 0
x = 1
x = 2
Answer:
x = 1
Step-by-step explanation:
Input values are x-values plotted on the x-axis, while output values are the y-values plotted on the y-axis.
The question is simply asking that, which value of x will give us the same y-value for the two functions graphed above.
The x value that will give us the same y-value for both functions is the point where the line of both functions intercept. At that point, when x = 1, y = 1, in both functions.
Therefore, the input value of x = 1, will give an output value of y = 1, for the two functions on the graph.
A model rocket is launched from the roof of a building. Its flight path is modeled
by h = -5t^2 +30t +10 where h is the height of the rocket above the ground in
metres and r is the time after the launch in seconds.
What is the rocket's maximum height?
Answer:
55
Step-by-step explanation:
This is the equation of a parabola. To make things simpler, we can replace [tex]h[/tex] with [tex]y[/tex] and [tex]t[/tex] with [tex]x[/tex]. Therefore, [tex]y=-5x^2+30x+10[/tex]. Because the coefficient of the [tex]x^2[/tex] term is negative, we know the parabola points down, and the maximum height is the vertex. The x coordinate of the vertex of a parabola can be found with the equation [tex]-\frac{b}{2a}[/tex], or [tex]-\frac{30}{-10} = 3[/tex]. Plugging in [tex]3[/tex] into the equation gives us [tex]y = -5(3)^2+30(3)+10 = \boxed{55}[/tex]
What is 1 over 4 multiplied by 7 over 2
Answer:
7/8
Step-by-step explanation:
Answer:
1/4 x 7/2
First, let's convert each fraction into percentages.
1/4= 25%
7/2= 350%
Now just multiply them together.
25x350= 8750
Convert it back into a fraction.
8750% = 175/2 = 871/2 as a fraction.
Hope this helps!
Find the common difference of the arithmetic sequence 4,2,0,...
Answer:
d=-2 is the difference
Show that (3m+4n)2 –48mn= (3m-4n)2
Answer:
Please see the attached picture.
Marshall paid $277.13 for a new golf club, after tax, and the tax rate is 7%. What was the original price of the golf club?
Answer:
257.73
Step-by-step explanation:
93% of 277.13 is 257.73
Answer:
It’s actually $259
is (5 , -11) a solution to a function y= -2x+1
Answer:
No
Step-by-step explanation:
y = -2x + 1
(-11) = -2(5) +1 \ Plug-in the values from the point given
-11 = -10 + 1 \ Reduce
-11 = -9 \ Simplify
-11 ≠ -9 \ Determine the valididity
Which lists all the multiples of 8 that are less than 50?
A. 2, 4, 8
B. 4, 8, 12, 16, 24, 32, 40, 48
C. 8, 16, 24, 32, 40, 48
D. 8, 16, 24, 32, 40, 48, 56
Answer:
Its the third one 8, 16, 24, 32, 40, 48
Step-by-step explanation:
They all are multiples of 8 and are not more than 50
Find the median of the following data
2,8,7,8,6,15,6,8,3
Answer:
7
Step-by-step explanation:
Median is the middle value in a list of values arranged in increasing order.
The values given are :2,8,7,8,6,15,6,8,3
Arrange values in ascending order as: 2,3,6,6,7,8,8,8,15
The middle value is: 2,3,6,6,7,8,8,8,15
Median is 7
how to solve
2(x+4)=2x+5
Step-by-step explanation:
2x+8=2x+5
2x-2x=15-8
0x=7