Answer:
the slope-intercept form for any line is y = mx + b, where m is the slope and b is the y-intercept.
now, let's calculate the slope:
=
here is the equation we currently have solved: y = x + b
now we have to solve for the y-intercept. to do this, we substitute one of the given points into the equation, and solve for b.
let's use (8, 2). in this ordered pair, the 8 is the x, and the 2 is the y.
2 = 8 + b
2 - 8 = b
b = -6
and now we have our final equation!
y = x - 6
hope this helped! please let me know if you are confused about anything i did smiley
Step-by-step explanation:
Answer:
y = -5/4x + 3Step-by-step explanation:
Find the slope first:
m = (y2 - y1)/ (2 - x1)m = (-7 + 2)/(8 - 4) = -5/4Use point-slope form and the coordinates of one of the points:
y - y1 = m(x - x1)y - (-2) = -5/4(x - 4)y + 2 = - 5/4x + 5y = -5/4x + 3The lifetimes of light bulbs of a particular type are normally distributed with a mean of 350 hours and a standard deviation of 6 hours. What percentage of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean?
Answer:
By the Empirical Rule, approximately 68% of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
What percentage of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean?
By the Empirical Rule, approximately 68% of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean.
Kane's Furniture Store advertised a table at 9% discount. The original selling price was $109, and the sale price was $100. Was the sale price consistent with the ad? Explain.
Answer:
No, the sale price wasn't consistent with the ad
Step-by-step explanation:
The original selling price is 109. 9% of 109 is 9.81. So the sale price should be 99.19.
The probability that a patient recovers from a disease is 0.3.
If 6 people are known to have contacted the disease, what is the probability that at least 4 survive?
Answer:
0.07047
Step-by-step explanation:
at least 4 people survive is
4 people survive and 2 don't +
5 people survive and 1 doesn't +
all 6 people survive
the probability of 4 people to survive is the product of the individual probabilities :
0.3×0.3×0.3×0.3 = 0.3⁴ = 0.0081
times the probability 2 don't survive
0.7×0.7 = 0.49
0.0081×0.49 = 0.003969
now, the chance that 4 out of 6 survive is that probabilty times how many times we can select 4 out of 6.
to select 4 out of 6 is
[tex] \binom{6}{4} [/tex]
= 6! / (4! × (6-4)!) = 6! / (4! × 2!) = 6×5/2 = 30/2 = 15
so, the probability of having 4 survivors is
15×0.003969 = 0.059535
the probability of 5 people surviving is 0.3⁵ times one not
0.3⁵×0.7 = 0.001701
we have 6 over 5 combinations to pick 5 out of 6 = 6.
so, in total for 5 survivors we get
6×0.001701 = 0.010206
and the probabilty of all 6 surviving is
0.3⁶ = 0.000729
so, the probability of at least 4 out of 6 surviving is
0.059535 +
0.010206 +
0.000729
---------------
0.070470
Find each question solutions.Please
Answer:
Dependent variable = Total daily cost
Independent variable = number of items manufactured
2500 ;
9750
Step-by-step explanation:
Given the cost function in. A manufacturing company :
C(x) = 7.25x + 2500 ; Where
C(x) = total daily cost
x = number of items manufactured
The Independent variable is the variable whose value causes a change in the measured variable, this is the number of items manufactured, and the variable which charges as the predictor variable charges is the dependent variable (Total daily cost).
2.)
C(0) ;
C(x) = 7.25x + 2500
Put x = 0
C(0) = 7.25(0) + 2500
Cost = 2500
This is the total daily cost even if no items are produced, this is probably the fixed cost of daily production.
3.)
C(1000)
C(x) = 7.25x + 2500
Put x = 1000
C(0) = 7.25(1000) + 2500
Cost = 7250 + 2500
Cost = 9750
This is the total cost including variable cost of producing 1000 items.
The length of a rectangle garden plot is 3 metres greater than its
width.The area of the plot is 154 square metres.What is the width of the garden?
Answer: width = 11 m
Concept:
Here, we need to understand how to find the area of a rectangle.
In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.
A = w · l
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
w = w
l = w + 3
A = 154 m²
Given formula
A = w · l
Substitute values into the formula
154 = w · (w + 3)
Expand Parentheses (Distributive property)
154 = w² + 3w
Subtract 154 on both sides
154 - 154 = w² + 3w - 154
0 = w² + 3w - 154
Solve for the quadratic equation
(w - 11) (w + 14) = 0
w = 11 or w = -14 (Neglected because length cannot be negative)
Hope this helps!! :)
Please let me know if you have any questions
Pls helppppp,,,,,.....
Answer:
yall do school right now???and i forgot how to do these sorry
Answer:
18 = 2x-14
or, 2x =18+14
or, 2x =32
or, x=32/2
x=16
2(6x-7)=10
or, 12x-14=10
or, 12x=10+14
or, x=24/12
x=2
Levi decides to examine the effect of fertilizer on the growth of tomato plants. He chooses four plants for his experiment and applies varying amounts of fertilizer to three of them. He does not apply fertilizer to one plant.
Over a 15-day period, the plants receive fertilizer on Days 1, 4, 7, 10, and 13. Levi measures the height of all of his plants with a meterstick on Days 3, 6, 9, 12, and 15. He also makes sure to hold all experimental factors constant except for the fertilizer.
What is the independent variable in Levi's experiment on tomato plants?
the days plant height was measured
the days fertilizer was applied
the amount of fertilizer given to the plants
the measurements of plant height
Answer:
Step-by-step explanation:
The measurement of the height is the dependent variable. The independent variable is the amount of fertilizer applied.
2) 70 = -7a
Please help me !
Suppose a jar contains 7 red marbles and 28 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.
Answer:
3/85
Step-by-step explanation:
that's the answer above
Geometry please help me need help I don’t know how to do it
Answer:
A'(0,-8) B'(5,-7) C'(3,0) D'(2,-5)
A''(0,8) B''(-5,7) C''(-3,0) D''(-2,5)
Step-by-step explanation:
first everything is shifted down 8 units (x,y-8), so we get A'(0,-8) B'(5,-7) C'(3,0) D'(2,-5)
then you multiply by -1 A''(0,8) B''(-5,7) C''(-3,0) D''(-2,5)
Find the x-and y-intercepts of the graph of 4x + y = 28. State your answers as
whole numbers or as improper fractions in simplest form.
Answer:
at x-intercept, y = 0
4x = 28
x = 7
x intercept = (7,0)
at y-intercept, x = 0
y = 28
y intercept = (0,28)
what is the mean of this graph?
Answer:
Step-by-step explanation:
Mean: sum of terms/ number of terms
4 + 2 + 3 + 1 + 1 + 5 = 16
Numbr of terms = 6
16/6 = 2.66
Answered by g a u t h m a th
Answer:
2 2/3
Step-by-step explanation:
The mean is the average of the values
The values on the graph are 4, 2, 3, 1, 1, and 5
Average is sum/number of values
4+2+3+1+1+5=16
16/6=2 2/3
What is the common difference for this arithmetic sequence?
-6,-1,4,9,14,...
A. 6
B. 4
C. 5
D. 3
SUBMIT
Answer:
5 is the answer to your question
Step-by-step explanation:
the numbers are increasing by +5
I need help completing this answer are you available
Answer:
Step-by-step explanation:
What is the area of this figure?
Answer:
22
Step-by-step explanation:
(5x2) + (3x2) + (3x2)
22 square units
Answer from Gauthmath
From the picture, two cylindrical glasses of the same capacity. Find the diameter length (X) of a small glass of water.
8
12
14
10
Answer:
12
Step-by-step explanation:
πr²h=πr²h
π(4.5)²*10=π(x/2)²4.9
plz help me with this question
What is one important role that ocean waters have in heating Earth?
absorb and transport solar energy
transport nutrients and waste
create and emit solar energy
wear away rock and soil
also support me on on ubute SadSpade4679
Answer:
The ocean absorbs heat energy from the sun
Step-by-step explanation:
Yw :)
Answer:
The ocean absorbs heat energy from the sun.
Step-by-step explanation:
(x+1).(x/2 +2).(x/3+3).(x/4+4).(x/5+5)
Answer:
Please see the attached picture below to understand the steps I've typed to get to the final solution.
What is the
range of the function in the graph?
Answer:
Step-by-step explanation:
A resposta é a letra a
The sum of a number x and
eleven
Answer:
what is the sum.
Step-by-step explanation:
Take the sum - 11 =x
PLEASE HELP!!! ITS DUE TONIGHT!!!!!
YOUR ASSIGNMENT: Difference of 10
Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game.
Your Player
1. Choose your player, and record the number chosen by the other player. (2 points: 1 point for each answer)
a. Which player did you select?
b. What number did the other player pick?
Modeling Ways to Win
2. Should you use an equation or an inequality to represent the ways your player can win? Why? (2 points: 1 point for an answer, 1 point for an explanation)
3. Imagine that Erik chose a 4 and Nita chose a 12. Would the winner be different if Nita chose the 4 and Erik chose the 12? (2 points: 1 point for an answer, 1 point for an explanation)
4. Is it appropriate to use an absolute value inequality to represent how a player wins this game? Why? (2 points: 1 point for an answer, 1 point for an explanation)
5. If your player is Erik, write an inequality that shows all of the ways that Erik will win if Nita chooses 7. If your player is Nita, write an inequality that shows all of the ways that Nita will win if Erik chooses 17.
Be sure to define your variable. (3 points: 1 point for defining the variable, 2 points for the correct inequality)
6. In order to graph your solutions, solve for the variable. Be sure to show your work. (2 points)
7. Sketch a graph of your solutions. (2 points: 1 point for endpoints, 1 point for the correct region)
Forming a Strategy and a New Rule
8. What is the range of numbers that will win the game for your player?
If your player is Erik, assume that Nita chooses 7.
If your player is Nita, assume that Erik chooses 17.
(Hint: Remember that Erik and Nita can choose only numbers from 0 to 20, inclusive.) (2 points)
9. Graph all the possible numbers that either player could pick. Compare this graph with your answer in question 8.
If your player is Erik, and Nita chooses 7, does Erik have a good chance of winning?
If your player is Nita, and Erik chooses 17, does Nita have a good chance of winning?
Explain your answer. (3 points: 1 point for the correct graph, 2 points for the explanation)
Answer:
it is too long send me link of it
Answer: Choose your player, and record the number chosen by the other player. (2 points: 1 point for each answer) a. Which player did you select? Erik, assume that Nita chooses 7. b. What number did the other player pick? 17
2. Should you use an equation or an inequality to represent the ways your player can
win? Why? (2 points: 1 point for an answer, 1 point for an explanation)
An algebraic statement that represents all the ways Eric will wins is
where
be the number that Eric thi
3. Imagine that Erik chose a 4 and Nita chose a 12. Would the winner be different if
Nita chose the 4 and Erik chose the 12? (2 points: 1 point for an answer, 1 point for
an explanation)
no because both nita and eric won. eric with a number less than than 10
and nita with a number more than 10.
4. Is it appropriate to use an absolute value inequality to represent how a player wins
this game? Why? (2 points: 1 point for an answer, 1 point for an explanation)
they win it remains positive the negative will be losses which will be changed due to
absolute value
5. If your player is Erik, write an inequality that shows all of the ways that Erik will win
if Nita chooses 7. If your player is Nita, write an inequality that shows all of the ways
that Nita will win if Erik chooses 17.
Be sure to define your variable. (3 points: 1 point for defining the variable, 2 points for
the correct inequality)
Step-by-step explanation:
Please help it’s due today
Answer:
67 degrees
Step-by-step explanation:
23 + 90 = 113
180 - 113 = 67
What function type does the table of values represent?
A) Linear
B) Exponential
C) Quadratic
D) Can't be determined
Answer:
Hello,
answer C
Step-by-step explanation:
[tex]\begin{array}{|c|c|c|c|}x&y&x^2&3x^2\\---&---&---&---\\1&3&1^2&3*1^2=3\\2&12&2^2&3*2^2=12\\3&27&3^2&3*3^2=27\\4&48&14^2&3*4^2=48\\5&75&5^2&3*5^2=75\\\end{array}\\\\\\\boxed{y=3x^2\ the\ function\ is\ quadratic.}[/tex]
One year, Alex bought an antique car for his birthday. During the first year he owned it, the
value of the car gained 10%. During the second year, the value of the car gained another
15% from the previous year. If the value of the car is now $37,950.00, how much did Alex
originally pay for his car?
Answer:
28462.5
Step-by-step explanation:
During the first year it gained 10% and during his second year he gained 15% so you first add those and you get 25%.
Then you multiply 25% with 37,950.
25/100 * 37950 = 948,750/100
= 9487.5
To get the original amount you subtract 9487.5 from 37,950
37,950 - 9487.5 = 28462.5
So the original amount was 28462.5
Find the length of AC again
Answer:
B
Step-by-step explanation:
side Ac is the opposite of angle B, therefore use the sin ratio to find ac since the hypotenuse is also given
sin B=opposite/hypotenuse
sin 27=ac/15
ac=sin27×15
=6.81
I hope this helps
Answer:
AC = 6.81
Step-by-step explanation:
∠BAC = 90° - 27° = 63°
Cos 63° =[tex]\frac{AC}{AB}[/tex] = 0.454
AC = cos 63° * AB = 0,454 * 15 = 6.81
Please Help Polygons
Step-by-step explanation:
5.25....................
Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution. A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s = 17.6 milligrams.
Required:
Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.
Answer:
CI ≈ (173.8 < μ < 196.2)
Step-by-step explanation:
We are told that laboratory tested twelve chicken eggs. Thus;
n = 12
Mean; x¯ = 185 mg
S.D; s = 17.6 mg
DF = n - 1 = 12 - 1 = 11
We have a 95% confidence level. Thus; α = 0.05
Since n < 30, we will use t-sample test.
Thus, from t-table attached at 95% Confidence level and DF = 11, we have;
t = 2.201
Thus,formula for Confidence interval is;
CI = (x¯ - t(s/√n)) < μ < (x¯ + t(s/√n))
CI = (185 - 2.201(17.6/√12)) < μ < (185 + 2.201(17.6/√12))
CI = (185 - 11.1825) < μ < (185 + 11.1825)
CI = (173.8175 < μ < 196.1825)
CI ≈ (173.8 < μ < 196.2)
PLease Help! I will give you the brainiest and a lot of points
A survey of 104 college students was taken to determine the musical styles they liked. Of those, 22 students listened to rock, 23 to classical, and 24 to jazz. Also, 10 students listened to rock and jazz, 8 to rock and classical, and 8 to classical and jazz. Finally, 6 students listened to all three musical styles. Construct a Venn diagram and determine the cardinality for each region. Use the completed Venn Diagram to answer the following questions.
a. How many listened to only rock music?
n(only rock)
b. How many listened to classical and jazz, but not rock?
n(classical and jazz, not rock)
c. How many listened to classical or jazz, but not rock?
n(classical or jazz, not rock)
d. How many listened to music in exactly one of the musical styles?
n(exactly one style)
e. How many listened to music in exactly two of the musical styles?
n(exactly two styles)
f. How many did not listen to any of the musical styles?
n(none)
Answer:
A. 22
B. 8
C. 23 + 24
D. 22 + 23 + 24
E. 8 + 8 + 10
F. 104 - (sum of all the given numbers) = 3
8/9 - Evaluating Algebraic Expressions
5. Which is equivalent to 4x - (y + x) + 2, if x = 5 and y=-3?
O 20
-20
-15
O 15
9514 1404 393
Answer:
(a) 20
Step-by-step explanation:
Put the numbers in place of the corresponding letters and do the arithmetic.
4(5) -((-3) +5) +2 = 20 -2 +2 = 20
I NEED HELP ASAP PLEASE!!!
Answer:
Hello the answer is A <!!
Answer:
c
Step-by-step explanation:
pi/ 3 * (180/pi)= 180/3
pi/3 = 60 degrees
