Answer:
First find the slope of the line = (y2 - y1) / (x2 - x1) where the 2 points are (x1, y1 and (x2, t2).
Then substitute the values of the slope (m) and one of the points into the point-slope formula
y - y1 = m(x - x1)
Step-by-step explanation:
Find the slope using the slope formula
Use the slope and one of the points to solve for the y-intercept (b).
One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
Based on this data, are "being in high school" and "GPA above 3.0" independent events? Yes, P(high school ∩ GPA above 3.0) = P(high school) ⋅ P(GPA above 3.0) No, P(high school ∩ GPA above 3.0) = P(high school) ⋅ P(GPA above 3.0) Yes, P(high school ∩ GPA above 3.0) ≠ P(high school) ⋅ P(GPA above 3.0) No, P(high school ∩ GPA above 3.0) ≠ P(high school) ⋅ P(GPA above 3.0)
Answer:
No, P(high school | GPA above 3.0) ≠ P(high school)
Step-by-step explanation:
Given
See attachment for table
Required
Determine if High school and GPA above 3.0 are independent
Let
[tex]H \to[/tex] High school
[tex]G \to[/tex] GPA above 3.0
For both events to be independent, the following must be true
[tex]P(H\ |\ G) = P(H)[/tex]
From the table:
[tex]P(H) = \frac{H}{Total}[/tex]
[tex]P(H) = \frac{60}{100} = 0.60[/tex]
[tex]P(H | G) = \frac{H\ n\ G}{G}[/tex]
[tex]P(H | G) = \frac{14}{40} = 0.35[/tex]
The test for independence is as follows:
[tex]P(H\ |\ G) = P(H)[/tex]
By comparison
[tex]P(H\ |\ G) \ne P(H)[/tex]
i.e.
[tex]0.35 \ne 0.60[/tex]
Hence, both events are not independent
not a real question I just need help to figure it out what is this
Answer:
y=mx+b
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
y = kx+b
Most people write this
y = mx+b where m is the slope and b is the y intercept
reduce
0.1 x squared - 8.1 x + 8 = 0 to
2x squared - x + 80 = 0
Answer:
x = 8
x = -10
Step-by-step explanation:
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
Answer:
one
Step-by-step explanation:
If two lines are not parallel, they will intersect one time as shown by the graph given.
Where the two graphs intersect is the solution to the system.
Find questions attached.
Show Working.
Answer:
Q5As the opposite angles of a cyclic quadrilateral, A is supplementary with C and B is supplementary with D.
In the trapezoid, angle A is supplementary with D and angle B is supplementary with C.
It means ∠A ≅ ∠B and ∠D ≅ ∠C
Now, ∠ABD ≅ ∠ACD as both angles intercept same arc AD.
So we have:
m∠B = m∠ABD + m∠DBC = 35° + 72° = 107°andm∠C = 180° - m∠B = 180° - 107° = 73°So angles B and A are 107° and angles D and C are 73°
Q6PXR is exterior angle of triangle XSR.
Angles Q and S are supplementary as opposite angles of a cyclic quadrilateral QPSR.
m∠PXR = m∠XRS + m∠XSR = 20° + (180° - 80°) = 120°Someone please help out
Answer:
Option D
Step-by-step explanation:
Alternate Interior angles are angles that are on the opposite sides of the transversal line (which is the line that cuts across the two parallel lines) and are on the inside of the two parallel lines which in this case is Option D.
Please help me find the area of this figure
Answer:
=51.63 m^2
Step-by-step explanation:
First find the area of the triangle
A = 1/2 bh = 1/2(3) * 5 = 7.5
Then find the area of the rectangle
A = l*w = 5*6 = 30
Then find the area of the semi circle, which is 1/2 the area of the circle
The diameter is 6 so the radius is 3
A = 1/2 pi r^2 = 1/2 (3.14) (3) ^2 = 14.13
Add the areas together for the total area
7.5+30+14.13
=51.63
Help anyone can help me do this question,I will mark brainlest.
Answer:
3) 16π cm²
4) 240.625 cm²
Step-by-step explanation:
3. For this problem I'm going to use the formula Area = π × r²
To start off, I'm going to input our value of radius which is 4cm.
π × 4²
Finally, I'm going to square our value "4"
16π cm²
(I'm going to "leave my answer in terms of π" as the problem states but if you need the complete answer it would be about 50.24 cm²
4. For this problem I'm going to use the formula Area = π × (d/2)²
To begin, I will divide our diameter by 2 to find the radius.
17.5/2 = 8.75
Next, we are going to square our now, radius.
8.75² = 76.5625
Now, we have to multiply our squared radius by π (in this problem it states to use 22/7, so that's what we'll do :)
76.5625 × 22/7 = 240.625 cm²
So! This is our final answer!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Explain why y +1 = 1.2(x+2) and y-5= 1.2(x – 3) represent the same line, despite having
different equations.
Answer:
You can manipulate both equations into y = mx + b format and end up with the same result of y = 1.2x + 1.4
Step-by-step explanation:
y + 1 = 1.2(x + 2)
y = 1.2x + 2.4 - 1
y = 1.2x + 1.4
y - 5 = 1.2(x - 3)
y = 1.2x - 3.6 + 5
y = 1.2x + 1.4
So essentially, they're the same equation but in different forms.
Please help, I need the answer by tomorrow!
Answer:
6, 5, 4
Step-by-step explanation:
Midpoint is exactly half so it would be half the value of triangle ABC's value
12/2=6
10/2=5
8/2=4
Find the value of x.
Answer:
25
Step-by-step explanation:
The median of a trapezoid equals one half of the sum of the bases
AC is a median and EB and DF are the bases.
hence AC = 1/2(EB + DF)
We are given that EB = 13 and that AC = 19. And we need to find DF
To do so we plug in what we are given and solve for DF
AC = 1/2(EB + DF)
AC = 19, EB = 13
19 = 1/2(13 + DF)
Now solve for DF
* Multiply both sides by 2*
19 * 2 = 38
1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )
We then have 38 = 13 + DF
* Subtract 13 from both sides *
38 - 13 = 13 - 13 + DF
We get that DF = 25
A sky-diver descends from an altitude of 3,332m into the ocean and entered 9 m deep. What is total distance travelled by him after the point of release of parachute, if he opens it after 210m?
Answer:
3131 meters
3332 - 210 = 3122
3122 +9 = 3131 meters
Step-by-step explanation:
Instructions : Find EX if JX = 17 plz help I don’t understand
Answer:
EX = 51
Step-by-step explanation:
The 3 intersecting lines in the triangle are medians.
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, that is
EJ = 2 JX = 2 × 17 = 34 , then
EX = EJ + JX = 34 + 17 = 51
Anton has 4 pennies, 1 dime, and 2 dollar bills. He buys a granola bar for $0.89. How much money does he have left?
Answer:
$1.25
Step-by-step explanation:
2 × $1 = $2
4 × 1 = 4
1 × 1 = 10
$2 + 4 + 10
$2.14
$2.14 - $0.89
$1.25
You spin a spinner numbered from 1 to 5 and spin another spinner with the colors blue, orange, yellow, green, and red. How many possible outcomes are in the sample space?
Answer:
25.
Step-by-step explanation:
For each of the 5 numbers on the first spinner there could be any one of the 5 colours on the other spinner.
So possible outcomes = 5 * 5.
The possible outcomes of the given sample space are 25.
We have given that,
You spin a spinner numbered from 1 to 5 and spin another spinner with the colors blue, orange, yellow, green, and red.
What is the sample space?A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol S.
For each of the 5 numbers on the first spinner, there could be any one of the 5 colors on the other spinner.
So possible outcomes = 5 * 5.
Therefore, The possible outcomes of the given the sample space is 25.
To learn more about the sample space visit:
https://brainly.com/question/9222927
#SPJ2
Each day a company uses 7/10 of a box of paper. How much paper was used after 9 days?
Answer:
6 3/10 box
Step-by-step explanation:
7/10 box * 9 = 63/10 box = 6 3/10 box
Which best describes the incenter of a triangle?
O A. The point where the three altitudes of the triangle intersect
O B. The point where the three medians of the triangle intersect
O C. The point where the perpendicular bisectors of the three sides of
the triangle intersect
O D. The point where the three angle bisectors of the triangle intersect
Answer:
D. it is the point where the three angle bisectors of the triangle intersect.
Step-by-step explanation:
Because in geometry the incenter of a triangle is deliberated as the center of a triangle.
WILL GIVE BRAINLIEST IF UR RIGHT!
Find g(x), where g(x) is the translation 6 units up of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answer:
[tex]g(x)=x^2+6[/tex]
Step-by-step explanation:
Hi there!
We're given [tex]f(x)=x^2[/tex], and that [tex]g(x)[/tex] is a translation of [tex]f(x)[/tex] 6 units up.
This means that [tex]g(x)=f(x)+6[/tex].
[tex]g(x)=f(x)+6[/tex]
Rewrite the equation
[tex]g(x)=x^2+6[/tex]
This would be our final equation. It does not look like the form [tex]a(x-h)^2+k[/tex], However, when rewritten as [tex]g(x)=1(x-0)^2+6[/tex], we can tell clearly that it is.
I hope this helps!
A birdwatcher on a cliff saw an eagle 8 meters below him. Earlier, he had spotted the eagle 9 meters below him. What is the difference from earlier to now? ___ meter(s)
Answer:
1 meter
Step-by-step explanation:
Previous spot of the eagle = 9 meters below him
Present spot of the eagle = 8 meters below him
What is the difference from earlier to now?
Diffetence in the spotting = Earlier position - present position
= 9 meters - 8 meters
= 1 meter
Use the diagram to determine whether you can assume the statement.
Points A,B, C, and E are coplanar.
Yes or no
Answer:
Yes
Step-by-step explanation:
Mathematically, when points are co-planar, what it means is that they exist in the same plane
Now, looking at the 4 points, we can see that they exist on the same x-like plane that is both perpendicular to like H through C
Hence, we can simply opine that these points exist in the same plane and are essentially co-planar
Sketch the graph of 2x + 3y = 18.
On your sketch, write the values where the graph crosses the r-axis and the y-axis.
Answer:
[tex]\boxed{ \sf Cuts \ x-axis \ at \ (9,0 ).}[/tex]
[tex]\boxed{ \sf Cuts \ y-axis \ at \ (0,6).}[/tex]
Step-by-step explanation:
We need to graph a linear equation and we need to find the point on which it crosses the x and y axis . The given equation is,
[tex]\sf\longrightarrow 2x + 3y = 18 [/tex]
For graphing it's line we need at least two points . hair we can find out the points on which it cuts the x and y axis and then using those two points we can plot its graph.
Step 1 : Put x = 0 in the equation :-
[tex]\sf\longrightarrow 2*0 + 3y = 18 [/tex]
Simplify ,
[tex]\sf\longrightarrow 0 + 3y = 18[/tex]
Add ,
[tex]\sf\longrightarrow 3y = 18[/tex]
Divide both sides by 3 ,
[tex]\sf\longrightarrow \underline{\purple{ y = 6}}[/tex]
Step 2: Put y = 0 in the equation :-
[tex]\sf\longrightarrow 2x + 3*0 = 18 [/tex]
Simplify ,
[tex]\sf\longrightarrow 2x = 18 [/tex]
Divide both sides by 2 ,
[tex]\sf\longrightarrow \underline {\purple{x = 9}}[/tex]
Hence the line cuts y axis on (0,6) and on x axis at (9,0) . Now these two points plot the graph . [ Graph is in attachment ]
6.
These triangles ARE similar! Which reason proves it?
Р
10
U
T
Circle one:
AAN
SSS
SAS
9
12
8
6
SHOW CALCULATIONS to verify they are similar!
R
s
15
Answer:
Step-by-step explanation:
Comparing the triangles in the given questions, the following can be deduced:
5. The scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] ≠ [tex]\frac{9}{7}[/tex]
So that;
QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.
Thus, the triangles are NOT similar.
6. Scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{9}{6}[/tex]
= 1.5
So that;
QR is similar to UT, PR is similar to US, but PQ is similar to TS.
Thus, the triangles are similar by Side-Side-Side (SSS).
7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.
find the missing side length in the image below
Answer:
Step-by-step explanation:
How many tacos could you buy with your money? If you had $20 dollars would you have enough money to buy a taco for 37 students on a Tuesday?
Answer:
You can buy 40 tacos
You have enough money
Step-by-step explanation:
Given
[tex]Amount = \$20[/tex]
[tex]Taco = 20[/tex]
[tex]Unit\ Cost = \$0.50[/tex] --- missing from the question
Required
Determine if you have enough amount
The number of Tacos that $20 can afford is calculated as:
[tex]Tacos = \frac{Amount}{Unit\ Cost}[/tex]
So, we have:
[tex]Tacos = \frac{20}{0.50}[/tex]
[tex]Tacos = 40[/tex]
[tex]40 > 37[/tex] -- i.e. the number of Tacos will go round the 37 students
Hence, you have enough money
please find the attached file
Answer:
The answer is [tex]3^{-1/3}[/tex]
Step-by-step explanation:
WILL GIVE BRAINLIEST IF RIGHT!!
determine which of the following statements is true
respond with true or false
right angle has 2 complementary angles
Answer:
True
Step-by-step explanation:
Two angles form a pair of complementary angles
y is the element of the set {1.5, 7.2, 3.4, 4.1, 8.9, .75} and 5Y ÷ 6 is an integer. What is the value of Y
Answer:
7.2
Step-by-step explanation:
5y = 5 *7.2 = 36
36 ÷ 6 = 6
So, y = 7.2
Land surveyors outlined a park as shown. What is the area of the park?
Question 7 options:
70.88 km^2
76.95 km^2
83.03 km^2
184.68 km^2
Show your work:
Step-by-step explanation:
Dividing the shape into two:
The area of the rectangle is
A= 13.5*4.8= 64.8km2
the area of the triangle
A = [( 5.7-4.8) *13.5 ]/ 2= 6.075km2
Therefore the total area is
At = 64.8 + 6.075 = 70.875km2
PLEASE HELP!!!!
No links PLZ
Answer
(36)^1/2=(2^5)^1/2=6
Explanation
36 is equivalent to 2^5.
36^1/2 is equivalent to 6. The numerator of the fraction is the power and the denominator is the root. 36^1/2 is the same thing as the square root of 36, which is 6.
Help I have 2 minutes left
Answer:
the second one from top coz it is pointed on 2 so dollar 2
