Answer:
[tex]y=-43x-173[/tex]
Step-by-step explanation:
[tex]y+1=-43(x+4) \\ \\ y+1=-43x-172 \\ \\ y=-43x-173[/tex]
friendly and kind personality and likes to help people but like Hyde, he becomes mysterious and violent
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Part 1
Arrivals to a bank automated teller machine (ATM) are distributed according to a Poisson distribution with a mean equal to per minutes. Complete parts a and b below.
The probabilities, using the Poisson distribution, are given as follows:
a) Three customers in five minutes: 0.1805 = 18.05%.
b) Fewer than two customers in ten minutes: 0.0916 = 9.16%.
What is the Poisson distribution?The probability mass function of the Poisson distribution is presented as follows:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters of the Poisson distribution are:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval or range of values of the input parameter.The mean is of two arrivals per five minutes, hence:
[tex]\mu = 2[/tex]
The probability of exactly three arrivals in five minutes is:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 3) = \frac{e^{-2}2^{3}}{(3)!} = 0.1805[/tex]
For ten minutes, the mean is given as follows:
[tex]\mu = 2 \times 2 = 4[/tex]
The probability of fewer than two arrivals is:
P(X < 2) = P(X = 0) + P(X = 1).
In which:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-4}4^{0}}{(0)!} = 0.0183[/tex]
[tex]P(X = 1) = \frac{e^{-4}4^{1}}{(1)!} = 0.0733[/tex]
Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.0183 + 0.0733 = 0.0916 = 9.16%.
Missing InformationThe complete problem is given by the image shown at the end of the answer.
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A dog breeder is planning to buy more dog food. He makes a table showing how
many pounds of food he will have after shopping. The table is based on how much he
spends and how much food he already has. Which equation generates the table?
Money Spent (x) $0 $20 $40 $60
Pounds of Food (v) 4 12 20 28
x=y-4
y=8x-4
x=8y +4
y=x+4
The equation that generates the table is
y = (2/5)x + 4.
What is an equation of a line?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Money Spent (x) $0 $20 $40 $60
Pounds of Food (v) 4 12 20 28
We can have the following points from the table.
(0, 4), (20, 12), (40, 20), and (60, 28).
Now,
Choose two points:
(0, 4) and (20, 12)
m = (12 - 4) / (20 - 0)
m = 8 / 20
m = 2/5
Now,
(0, 4) = (x, y)
y = mx + c
4 = (2/5) x 0 + c
4 = c
c = 4
Now,
The equation is given as,
y = mx + c
y = (2/5)x + 4
The equation that generates the table is
y = (2/5)x + 4.
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1.e a jupiter day is about 3/8 of an earth day. about how many hours are there is jupiter their in jupiter day
1.f on the moon a person weight is about 1/6 of their weight on earth about how many kilograms would a person weigh on the moon if their weight on earth is 54kg
The number of hours that are there in Jupiter is 9 hours.
The kilograms that a person weigh on the moon is 9kg.
How to calculate the days?It is important to note that there are 24 hours in a day. Therefore, when Jupiter day is about 3/8 of an earth day. The number of hours will be:
= 3/8 × 24
= 9 hours
Also, a person weight is about 1/6 of their weight on Earth. The kilograms that a person weigh on the moon if their weight on earth is 54kg will be:
1/6 × 54
= 9kg
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What’s the correct answer answer asap for brainlist
Answer:
B
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
13. Is the function y = 2x a one-to-one function? Justify your answer.
ation becaus
Answer:
yes
Step-by-step explanation:
every x value will have at lest one y value
The black graph is the graph of
= f(x). Choose the equation for the
red graph.
a.
y = f(2x)
b. y=f(2)
C.
2y = f(x)
d.
½ = f(x)
Enter
The equation for the red graph is y = f(x/2).
We are given a graph. The graph shows two functions. A function connects an input to an output. It is similar to a machine with input and output. And the result is somehow connected to the input in some way. One of the functions is depicted by black lines. We need to find the equation of the function represented by the red lines.
We can see that the function represented by the red lines can be formed if the black lines are stretched horizontally. The black lines can be stretched horizontally by a factor of 2 to form the red lines. A function y = f(x) can be stretched horizontally by a factor of "k" as given below.
y = f(x/k)
Hence, the equation for the red graph is y = f(x/2).
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7. For the piecewise defined function {f(x)=1 x<3
{1/2x+7 x_>3
(1) 7
(2) 10
3x-1 x<3
[//x+7 _x23²)
(3) 17
(4) 27
which of the following is the value of f(6)?
Answer:
I think it's 10 idek I just search it
helppp pls <233 i’ll make brainliest !!!
The congruent angle of Q is T
Please help me Thank you :)
Answer:
3
Step-by-step explanation:
y difference is 9 and x difference is 3 so 9/3 = 3
Answer:
slope = 3
Step-by-step explanation:
(2, 7), (5, 16)
(x₁, y₁) (x₂, y₂)
m = slope
y₂ - y₁ 16 - 7 9
m = ------------ = ----------- = ------- = 3
x₂ - x₁ 5 - 2 3
I hope this helps!
Consider the relationship 9r+2t=9 .
a. Write the relationship as a function r=f(t) .
Enter the exact answer.
f(t)=
b. Evaluate f(−9) .
f(−9)=
c. Solve f(t)=5 .
t=
1. The relationship as a function r = f(t) is: r = (9 - 2t)/9.
2. The numeric value at t = -9 is: f(-9) = 3.
3. The value of t for which f(t) = 5 is t = -18.
What are the desired measures?The relationship is given as follows:
9r + 2t = 9.
To write the relationship as a function of t, we have to isolate the variable r as a function of the variable t, hence:
9r = 9 - 2t
r = (9 - 2t)/9.
To find the numeric value at t = -9, we replace the lone instance of t in the relationship by -9, hence:
r = (9 - 2(-9))/9 = 27/9 = 3.
To find when f(t) = 5, we have to find t for which f(t) = 5, hence:
9r = 9 - 2t
2t = 9 - 9r
2t = 9 - 9(5)
2t = -36
t = -36/2
t = -18.
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A chemist weighs samples obtained from a production run. The weights of the samples are 13 g, 14 g, 23 g, 11 g, 15 g, 14 g, 14 g, 12 g, 13 g, 15 g, 14 g, and 12 g. Are there any outliers?
The outlier of the data is 14.16 gram
What is Outlier?An outlier is a data point in statistics that dramatically deviates from other observations. An outlier may reflect measurement variability or it may point to an experimental error; the latter is occasionally removed from the data set. In statistical analyses, an outlier can result in significant issues.
Given:
Weights of the samples are 13 g, 14 g, 23 g, 11 g, 15 g, 14 g, 14 g, 12 g, 13 g, 15 g, 14 g, and 12 g.
So, the outlier is
= 13 x 2 + 14 x 4 + 12 x 2 + 11 + 15 x 2+ 13 / 12
= 170 gram /12
= 14.16 gram.
Hence, the outlier of the data is 14.16 gram
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t is the solution to the linear equation?
x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction equals StartFraction 1 Over 3 EndFraction plus StartFraction 5 Over 6 EndFraction x. = + x
The solution for the linear equation:
x - (2/3)*x - (1/2) = (1/3) + (5/6)*x
Is x = -5/3
How to solve the linear equation?Is hard to understand what you wanted to write, but I assume that the linear equation that we need to solve is:
x - (2/3)*x - (1/2) = (1/3) + (5/6)*x
To solve this linear equation, we need to isolate the variable x in one of the sides of the equation
To do so, we move all the terms with "x" to the left side and the terms without to the right side:
x - (2/3)*x - (5/6)*x = 1/3 + 1/2
Now we solve this:
x - (4/6)x - (5/6)x = 2/6 + 3/6
x - (9/6)*x = 5/6
We can write the "1" in the first term as 6/6
(6/6)*x - (9/6)*x = 5/6
(-3/6)*x = 5/6
-3x = 5
x = 5/-3
x = -5/3
That is the solution of the linear equation.
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Mara's age is 5 less than four times Brandy's age. Let x represent Brandy's age, and let y represent Mara's age. Which ordered pair (x, y) makes the equation y = 4x − 5 true?
The ordered pair that made the equation, y = 4x - 5 correct is (5, 15).
How to find ordered pair from a linear equation?Mara's age is 5 less than four times Brandy's age. Let x represent Brandy's age, and let y represent Mara's age.
Therefore, the ages can be represented linearly as follows:
y = 4x - 5
where
x = Brandy's agey = Mara's ageTherefore, the ordered pair (x, y) that makes the equation correct can be computed as follows:
y = 4x - 5
y = 4(5) - 5
y = 20 - 5
y = 15
The ordered pair is (5, 15)
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2. Janet earns money making candles. From every candle she sells, she earns $4.18. How
much money would she earn if she sold 57 candles?
Answer:
$238.26
Step-by-step explanation:
See question in screenshot below:
The value of P is $2,000.
The value of r is 2.8%
The value of n is 4.
The amount of money that Allision will have in 8 years is $2,500.19.
How much will he have in 8 years?When the account is compounded quarterly, it means that the amount invested and the interest that has already been earned would increase in value four times in a year. A compound growth rate can be modelled as an exponential equation.
The equation that can be used to determine the future value with quarterly compounding is:
S(t) = P( 1 + r /n)^(n x t)
Where:
P = amount deposited r = interest rate n = number of compounding t = number of yearsS(t) = 2,000 x ( 1 + 0.028 / 4)^(4 x 8)
S(t) = 2,000 x 1.007^32 = $2,500.19
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Write equations for a pair of perpendicular lines that intersect at the point at (-3, -7)
Equation for the given pair of lines which are perpendicular to each other and intersect at the point (-3 , -7 ) are :
( y + 7 ) = m₁ ( x + 3) and ( y + 7 ) = (-1 / m₁ )( x + 3 )
As given in the question,
Pair of equations that are perpendicular to each other and intersect at point ( -3 , -7 ) are as follow:
let us consider slope of perpendicular lines are m₁ and m₂.
Product of the slope of perpendicular lines = -1
⇒ m₁ × m₂ = -1
⇒ m₂ = -1 / m₁
Pair of perpendicular intersect at point ( -3 , -7 ) .
Required equation of perpendicular lines is given by :
For line 1:
( y - (-7)) / ( x - (-3) ) = m₁
⇒ y + 7 = m₁ (x+3)
For line 2:
( y - (-7)) / ( x - (-3) ) = m₂
⇒ y + 7 = m₂( x+ 3)
⇒ y + 7 = -1 / m₁ ( x+ 3)
Therefore, equation for the given pair of lines which are perpendicular to each other and intersect at the point (-3 , -7 ) are :
( y + 7 ) = m₁ ( x + 3) and ( y + 7 ) = (-1 / m₁ )( x + 3 )
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During one hour of running, Jeff can run 5.5 miles. The number of miles Jeff runs and the number of hours are in a proportional relationship. This is represented by y=5.5x .
The slope of the graph is 5.5.
Given:
During one hour of running, Jeff can run 5.5 miles. The number of miles Jeff runs and the number of hours are in a proportional relationship. This is represented by y=5.5x .
slope:
Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant .
compare the y = 5.5x with standard equation y = mx + c
m = 5.5 and c =0
m is nothing but slope:
so slope m = 5.5
= 11/2.
Therefore The slope of the graph is 5.5.
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What number is halfway between 8.34 and 8.35?
Answer:
The correct answer is 8.345
Step-by-step explanation:
To find the midpoint of any two numbers, add the two numbers together and then divide the sum by two.
Addition:
8.34 + 8.35 = ?
= 16.69
Divide sum by 2:
16.69 ÷ 2 = ?
= 8.345
Hope this helps! Have an amazing rest of your day! Brainliest welcome! :)
Graph g(x) = |x − 3|.
Answer: x+3
Step-by-step explanation:
since it has the absolute value, it will be x+3 and you can graph that in your calculator!
Can you help on 7-9
Please this is due tomorrow
Answer:
The answer for no 7 is A. 24 in, for no 8 is C. 10 in, for no 9 is D. similar
Step-by-step explanation:
The answer for no 7 can be calculation as follows
Since both rectangles are similar, then the corresponding side are proportional, and it follows
[tex]\frac{\overline{KJ}}{\overline{AB}}=\frac{x}{\overline{AD}}[/tex]
[tex]\frac{48}{144}=\frac{x}{72}[/tex]
Where [tex]x[/tex] is the line segment [tex]\overline{MJ}[/tex]
Multiply both sides by [tex]72[/tex] to isolate [tex]x[/tex]
[tex]\frac{48}{144}\times 72=\frac{x}{72}\times 72[/tex]
[tex]\frac{48\times 72}{144}=x[/tex]
[tex]\frac{3456}{144}=x[/tex]
[tex]24=x[/tex]
Since the value of [tex]x[/tex] is [tex]24[/tex], then the length of [tex]\overline{MJ}[/tex] is [tex]24[/tex] in
The answer for no 8 can be calculation as follows
Since both rectangular frames are similar, then the corresponding side are proportional, and it follows
[tex]\frac{w_2}{w_1}=\frac{x}{h_1}[/tex]
Where [tex]w_2[/tex] is the width of frame [tex]2[/tex], [tex]w_1[/tex] is the width of frame [tex]1[/tex], [tex]x[/tex] is the height of frame [tex]2[/tex], [tex]h_1[/tex] is the height of frame 1
Substitute [tex]8[/tex] for [tex]w_2[/tex], [tex]12[/tex] for [tex]w_1[/tex], [tex]15[/tex] for [tex]h_1[/tex]
[tex]\frac{8}{12}=\frac{x}{15}[/tex]
Multiply both sides by [tex]15[/tex] to isolate [tex]x[/tex]
[tex]\frac{8}{12}\times 15=\frac{x}{15}\times 15[/tex]
[tex]\frac{8\times 15}{12}=x[/tex]
[tex]\frac{120}{12}=x[/tex]
[tex]10=x[/tex]
Since the value of [tex]x[/tex] is [tex]10[/tex], then the height of the second rectangular frame is [tex]10[/tex] in
The answer for no 9 can be evaluated as follows
Since two polygons are similar if and only if two conditions are satisfied
All pairs of corresponding angles are congruentAll pairs of corresponding side are proportionalThen the two polygons are similar
In the past, Jessica got paid $197,980 annually. Since switching to a new career, she has been making 35% more. How much does Jessica make now?
$
pwease
Answer:
$267,273
Step-by-step explanation:
197980 + .35(197980)
197980 + 69293
267273
Find the savings plan balance after 2 years with an APR of 3% and monthly payments of $300.
The balance is $
(Do not round until the final answer. Then round to the nearest cent as needed.)
Answer:
Step-by-step explanation:
The balance of the savings plan after 2 years will be=$7,410.85 at 3% compounded monthly.
The balance of the savings plan after 2 years will be=$7,407.95 at 3% compounded annually.
The formula you use to calculate this is:FV=P{[1 + R]^N - 1/ R}=FV OF $1 PER PERIOD, Where R=Interest rate per period, N=number of periods, P=periodic payment, FV=Future value.
Given m||n, find the value of x.
Answer:
x = 17
Step-by-step explanation:
(5x - 23) and (7x - 1) are same- side interior angles and sum to 180° , so
5x - 23 + 7x - 1 = 180
12x - 24 = 180 ( add 24 to both sides )
12x = 204 ( divide both sides by 12 )
x = 17
Carlos is making goodie bags for a party. Every goodie bag has exactly the same treats in it. Carlos has 96 granola bars and 48 small popcorn balls. What is the greatest umber of identical goodie bags Carlos can make? How many of each kind of treat is in each goodie bag?
The greatest number of identical goodie bags Carlos can make is 48.
Therefore will be 2 granola bars and 1 popcorn balls in each bag.
How to calculate the value?From the information, Carlos is making goodie bags for a party and every goodie bag has exactly the same treats in it.
Carlos has 96 granola bars and 48 small popcorn balls. It should be noted that the greatest common factor between 96 and 48 is 48.
Therefore, granola bars will be:
= 96/48
= 2 in each bag
Popcorn will be:
= 48/48
= 1 in each bag.
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what is the greatest comman facter of 2 and 3
Solve for x: 5x + one third(3x + 6) > 14
The value of x for 5x + 1/3(3x+6) > 14 is x > 2
What are inequality equations in algebra ?
When you first begin learning algebra, the equals sign is used to denote that two items are, in fact, equal to one another. As an illustration, consider the equations 3 = 3, 5 = 3 + 2, apple = apple, pear = pear, etc. When compared, an inequality reveals two things: first, that the objects being compared are not equal, or at the very least, they are not always equal; and second, how they are uneven.
Consider the provided inequality.
5x + 1/3(3x+6) > 14
Distributive property:
a (b +c)= ab + ac
By the distributive property.
5x + 1/3 * 3x + 1/3 * 6 > 14
5x + x + 2 > 14
Add the like terms
6x + 2 > 14
Subtract 2 from both sides.
6x > 12
Divide both sides by 6.
6x/6 > 12/6
x > 2
Hence, value of x for the given inequality equation will be greater than 2 i.e, x > 2.
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Answer:
Nikita Knight
Nikita Knight
Step-by-step explanation:
Nikita Knight
Nikita Knight
Nikita Knight
Nikita Knight
69420
Brad wants to have $14832 available as a down payment for a house in 3 years. How much must he deposit now at
9.3% compounded monthly to reach that goal?
Round final answer to the nearest cent (2 decimal places)
Answer:
P = $11233.08
Step-by-step explanation:
Another word for deposit is the principal and the compounded monthly indicates we're working with compound interest.
The formula for compound interest is:
[tex]A(t)=P(1+\frac{r}{n} )^{rt}[/tex], where P is the principal ("deposit"), r is the rate, n is the number of compounding periods, and t is the time.
Before solving, we will need to convert the percentage to a decimal (9.3% to 0.093) and remember that n = 12, since there are 12 months in a year.
Thus, we will need to solve for P to find Brad's deposit:
[tex]14832=P(\frac{0.093}{12})(^{12*3})\\14832=P(1.00775)^{36} \\14832=1.32038641P\\11233.07532=11233.08=P[/tex]
A commuter plane can carry 50 people per trip. At least How many times does the plane have to fly in order to carry 25,000 people? Identify the variable and answer the question. Please give details on how to set up problem. Thanks
Answer:
Step-by-step explanation:
First, since 50 people can go per trip and the plane wants to fly a lot of times to carry 25,000 people.
Second, then you have to do 25,000/50
Thirdly, you have to find the awnser
AWNSER=500
PLS HELP GUYS LIKE FR I NEED HELP THIS IS MY LAST PROBLEM FOR MY SHEET. SHOW THE DRAWING PLS
Answer/Step-by-step explanation:
Use the given drawing and scale to find out how big the building is in real life. See image. Then use the scale they asked for to make the new drawing. See image.