Answer:
Step-by-step explanation:
[tex]y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}[/tex]
Answer: y = - 3/2x + 5
Step-by-step explanation:
To write the equation in slope intercept form, you will have to find the slope and the y-intercept.
(-2,8) (8,-7)
To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.
-7 - 8 = - 15
8 - (-2) = 10
Slope: -15/10 = -3/2
The slope is -3/2
Now using the formula y=mx+b , use one of the given points and the slope to solve for b , which is the y-intercept.
8 = -3/2(-2) + b
8 = 3 + b
-3 -3
b = 5
Find the z-score boundaries that separate a normal distribution as described in each of the following. a. The middle 20% from the 80% in the tails. b. The middle 50% from the 50% in the tails. c. The middle 95% from the 5% in the tails. d. The middle 99% from the 1% in the tails.
Answer:
a) The boundaries are [tex]Z = \pm 0.253[/tex]
b) The boundaries are [tex]Z = \pm 0.675[/tex].
c) The boundaries are [tex]Z = \pm 1.96[/tex].
d) The boundaries are [tex]Z = \pm 2.575[/tex].
Step-by-step explanation:
Z-score:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
a. The middle 20% from the 80% in the tails.
The middle 20% is between the 50 - (20/2) = 40th percentile and the 50 + (20/2) = 60th percentile:
40th percentile: Z has a pvalue of 0.4, so Z = -0.253.
60th percentile: Z has a pvalue of 0.6, so Z = 0.253.
The boundaries are [tex]Z = \pm 0.253[/tex].
b. The middle 50% from the 50% in the tails.
The middle 50% is between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile:
25th percentile: Z has a pvalue of 0.25, so Z = -0.675.
75th percentile: Z has a pvalue of 0.75, so Z = 0.675.
The boundaries are [tex]Z = \pm 0.675[/tex].
c. The middle 95% from the 5% in the tails.
The middle 95% is between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile:
2.5th percentile: Z has a pvalue of 0.025, so Z = -1.96.
97.5th percentile: Z has a pvalue of 0.975, so Z = 1.96.
The boundaries are [tex]Z = \pm 1.96[/tex].
d. The middle 99% from the 1% in the tails.
The middle 99% is between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile:
0.5th percentile: Z has a pvalue of 0.005, so Z = -2.575.
99.5th percentile: Z has a pvalue of 0.995, so Z = 2.575.
The boundaries are [tex]Z = \pm 2.575[/tex].
A z-core is also referred to as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.
In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\delta}[/tex]
Where:
x is the observed data.u is the mean.[tex]\delta[/tex] is the standard deviation.a. A middle 20% from the 80% in the tails.
Note: The middle 20% is between the 40th percentile and 60th percentile.
40th percentile (p-value = 0.4) and Z = -0.253.60th percentile (p-value = 0.6) and Z = 0.253.Z = [tex]\pm 0.253[/tex]
b. A middle 50% from the 50% in the tails.
Note: The middle 50% is between the 25th percentile and 75th percentile.
25th percentile (p-value = 0.25) and Z = -0.675.75th percentile (p-value = 0.75) and Z = 0.675.Z = [tex]\pm 0.675[/tex]
c. A middle 95% from the 5% in the tails.
Note: The middle 95% is between the 2.5th percentile and 97.5th percentile.
2.5th percentile (p-value = 0.025) and Z = -1.96.97.5th percentile (p-value = 0.975) and Z = 1.96.Z = [tex]\pm 1.96[/tex]
d. A middle 99% from the 1% in the tails.
Note: The middle 99% is between the 0.5th percentile and 99.5th percentile.
0.5th percentile (p-value = 0.025) and Z = -2.575.99.5th percentile (p-value = 0.975) and Z = 2.575.Z = [tex]\pm 2.575[/tex]
Read more on z-scores here: https://brainly.com/question/4302527
Give that the line m is parrallel to the line r and m<IHB = (5y+39)° and m<HBC =(3y+85)° ,find m<CBG SHOW ALL WORK
Answer:
5y+39=3y+85 that is 5y-3y=85-39= 2y=46 and the answer is y=23
For which intervals the graphs of the functions f(x) = x^3 + x^2 - 4x - 4 is positive
Step-by-step explanation:
Consider a function
f
(
x
)
which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.
Plz help me I’m stuck
Answer:
$10.50
Step-by-step explanation:
15% of 70 = $10.50
Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)
Answer: $10
Step-by-step explanation:
15%= 0.15
67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.
How do I solve × + 12, × = 15
Answer:
27
Step-by-step explanation:
x+12
Let x=15
15+12
27
Answer:
x = 15th root of (-0.067) = -0.83482
Step-by-step explanation:
What is the slope of the red and blue line
Answer:
red=-1/4 blue= 4/1
Step-by-step explanation:
rise/run
find the area of a rectangular carpet the measures 3 1/3 feet by 3 feet
Answer:
area = 4
Step-by-step explanation:
area = length × width
length= 3 1/3 =3/3 = 1 and width= 3
area = 1 × 3
= 4
b. Solve for x, given the
MZ2 = 9x + 6
Answer:
Step-by-step explanation:
hello :
9x+6 =60
9x+6-60 =60-60
9x -54 =0
9x -54+54 =+54
9x=54
x = 54/9
x= 6°
Ratna , who is in Mumbai , telephones her brother Ravi in Ahmedabad and speaks for 89 seconds . She is charged Rs 1.20 for every 16 seconds or part of 16 seconds . There is also a service charge of Rs 2 / - . Study the bill carefully . How much will it cost Ratna if she speaks to Ravi for 3 minutes ?
A) 14.40
B) 16.40
C) 18.40
D) 20.40
Please give explanation of your answer , please .
Answer:
16.40
Step-by-step explanation:
3 min-> 180 s
180÷16≈11
11+1=12
12x1.20=14.40
14.40 + 2 = 16.40
Plz help would be a life saver
I need help on this?
4/4 times 1/2 PLEASE HURRY ILL MARK BRAINLIEST
Answer: 1/2
Step-by-step explanation:4
4
×
1
2
=
1
2
Result in decimals: 0.5
Calculation steps:
4
4
×
1
2
=
4 × 1
4 × 2
=
4
8
=
4 ÷ 4
8 ÷ 4
=
1
2
Further explanation
For the problem:
4
4
×
1
2
= ?
Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
4 × 1
4 × 2
=
4
8
The Greatest Common Factor (GCF) of 4 and 8 is 4. The result can be simplified by dividing both the numerator and denominator by 4.
4
8
=
4 ÷ 4
8 ÷ 4
=
1
2
The result is:
4
4
×
1
2
=
1
2
Answer:
1/2
Step-by-step explanation:
any expression divided by itself is 1
1×1/2
any expression multiplied by 1 remains the same
1/2
1. You are baking cookies to bring to school for a bake sale. You have already finished 22 cookies, and you can bake 12 at a time on your cookie sheet. If you want to bake at least 100 cookies, how many more cookie sheets do you have to bake?
Answer:
pp
Step-by-step explanation:
pp
BRAINLIEST TO BEST ANSWER :D
Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below.
3(x - 6) + (4x + 12) - 6x
3x - 9 + 4x + 12 - 6x
(3x + 4x - 6x) + (-9 + 12)
x + 3
Question 1
Identify the line which contains the error.
A 3(x - 6) + (4x + 12) - 6x
B 3x - 9 + 4x + 12 - 6x
C (3x + 4x - 6x) + (-9 + 12)
D x + 3
Answer:
C
Step-by-step explanation:
Answer:hope this helps!!! :)
defenitly A it equals x-6 not x-3
3(x - 6) + (4x + 12) - 6x => − 6
Step-by-step explanation:
Abosolute value of -5
Which
pair of triangles can be proven congruent by SAS?
Two triangles that are congruent using SAS.
SAS = Side Angle Side
The two triangles in option B are congruent by SAS.
Option B is the correct answer
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two triangles that are congruent using SAS.
SAS = Side Angle Side
Now,
The two triangles in option B are congruent by SAS.
There are two sides that are equal in each triangle.
There is one angle that is equal in each triangle.
Thus,
The two triangles in option B are congruent by SAS.
Option B is the correct answer
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ5
function machine
what is f(-10)=
for what input is the output 93
a) replace x with -10 and solve:
-6(-10)-3 = 60-3 = 57
f(-10) = 57
b) replace f(x) with 93 and solve for x:
93 = -6x-3
Add 3 to each side:
96 = -6x
Divide each side by -6:
x = -16
The input value is -16
The store bought a table for $150, and sold it for $240. What percentage was the markup?
Answer:50%
Step-by-step explanation:
Answer:
the bought 65% porcentege
3) The elevator in a large office building is not working so you start climbing the stairs. The first flight
takes you 56 seconds. The second flight takes you 62 seconds. The third flight takes you 68 seconds.
If you climb a total of ten flights, how long will it take you to climb all ten flights combined?
a.
b.
C.
1660 seconds
830 seconds
330 seconds
105 seconds
6 seconds
d.
e.
Answer:
Oct 20, 2019 — So how many flights does it takes for stair climbing to qualify as a workout? ... the Harvard Alumni Health study reported that climbing 10-19 flights a week (two ... But to be clear, we're not talking about the type of stair climbing you do ... of 20 seconds (about 60 steps) or a single/double flight of stairs that ca
Step-by-step explanation:
Please help meee I wanna get out of this class already
Answer:
The answer is D.
Answer:
a
Step-by-step explanation:
Point smtr located at (-6,13) and (8,13) on the coordinate plane want is the distance between these to points
Answer:
14 points in between
Step-by-step explanation:
just count how many spaces are in between those points on the graph
R(-9,4) and S(2,-1); Find T
Answer:
The question doesn’t state what T represents, so I will assume T is one of two points:
1. The midpoint of R and S, or
2. S is the midpoint of RT.
1. T((-9+2)/2,(4-1)/2)=T(-7/2,3/2)
2. T(x,y): S(2,-1)=((-9+x)/2,(4+y)/2); 2=(-9+x)/2, 4=-9+x, x=13; (4+y)/2=-1, 4+y=-2, y=-6. T(13,-6)
Brandon says that 3/8 equals 8/13 because 3 + 5 equals 8 + 8 + 5 equals 13 is he correct ? Explain
help pls will give brainiest
Answer:
A= (3,3)
B= (4,1)
C= ( 1,0)
Step-by-step explanation:
Answer:
Step-by-step explanation:
A 2, -1
B 1, -3
C 4, -4
Hope this helps!
Thanks for Brainliest!
How many gallons of 12% salt solution should a biologist add to 5 gallons of 15% salt solution to get a 14% solution?
WILL MARK BRAINLIEST IF ANSWERED WITHIN 15 MINUTES
Answer:
life
Step-by-step explanation:
hi
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 30 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 30 weeks and that the population standard deviation is 2.8 weeks. Suppose you would like to select a random sample of 56 unemployed individuals for a follow-up study.
Required:
a. Find the probability that a single randomly selected value is greater than 27.6.
b. Find the probability that a sample of size n=80 is randomly selected with a mean greater than 27.6.
Answer:
a) The probability that a single randomly selected value is greater than 27.6
P( X≥27.6) = 0.8051
b) The probability that a sample of size randomly selected value is greater mean greater than 27.6
P( X≥27.6) = 0.9998
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 30 weeks
The Standard deviation of the Population = 2.8 weeks
Let 'X' be a Normal distribution
[tex]Z = \frac{x-mean}{S.D} = \frac{27.6-30}{2.8} = -0.857[/tex]
The probability that a single randomly selected value is greater than 27.6
P( X≥27.6) = P(Z≥-0.857)
= 0.5 + A(-0.857)
= 0.5 + A(0.857)
= 0.5 + 0.3051
= 0.8051
Step(ii):-
Let 'X' be a Normal distribution
[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } } = \frac{27.6-30}{\frac{2.8}{\sqrt{80} } } = -7.6677[/tex]
The probability that a sample of size randomly selected value is greater mean greater than 27.6
P( X≥27.6) = P(Z≥-7667)
= 0.5 + A(-7.667)
=0.5 +0.4998
= 0.9998
On a coordinate plane, triangle A has points (negative 4, 0), (negative 4, 4), (0, 4). Triangle A prime has points (1, 0), (1, 2), (3, 2).
The pre-image, A, was dilated by a factor of 1/2 about the origin. It was then transformed in another way.
Identify the transformation after the dilation.
rotation 90° counterclockwise
rotation 180° counterclockwise
translation up 3 units
translation right 3 units
Answer:
d
Step-by-step explanation:
Answer:
that person is wrong it is c
Step-by-step explanation:
i did it
8(5 – 2x)
need help answering this question
Let's simplify this problem using the distributive property.
The first thing we want to do is change the minus to plus a negative.
Now distribute or multiply the 8 times
each of the terms inside the set of parentheses.
So we get 8(5) + 8(-2x) and this simplifies to 40 + -16x.
I need help on this and pls I actually do so dont put wrong answers or that you need points pls dont :)
Answer:
Equation: 120=66+2m
Step-by-step explanation:
120=66+2m
120-66=54
54/2=27
m=27
Solve the exponential equation for x.
Answer:
c. x=-2
Step-by-step explanation:
256=(1/4)^(3x+2)
㏒(1/4) (256)=3x+2
-4=3x+2
3x=-6
x=-2
