What are Power functions
Answer:
A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.
A pancake recipe require 1 2/3 cups of flour to make 20 pancakes and you have 9 cups of flour.
a. How many pancakes can you make with 1 cup of flour?
b. How many pancakes can you make with 9 cups of flour?
C. Do you have enough to make 100 pancakes? Explain
Quantity of flour needed to make 20 pancakes =
[tex] = 1 \frac{2}{3} \: [/tex]
[tex] = \frac{3 \times 1 + 2}{3} [/tex]
[tex] = \frac{5}{3} \: cups \: of \: flour[/tex]
Then , number of pancakes that can be made from 1 cup of floor :-
[tex]20 \div \frac{5}{3} [/tex]
[tex]20 \times \frac{3}{5} [/tex]
[tex] \frac{60}{5} [/tex]
[tex] = 12 \: pancakes[/tex] .
Therefore , 12 pancakes can be made from 1 cup of floor .
Solution (b) :-Number of pancakes that can be made with 1 cup of flour = 12 pancakes
Number of pancakes that can be made with 9 cups of flour :-
= 9 × 12
= 108 pancakes
Therefore , I can make 108 pancakes with 9 cups of flour .
Solution (c) :-Yes , I have enough flour to make 100 pancakes . I say this because :-
With one cup of flour I can make = 12 pancakes
With 9 cups of flour I can make =
= 9 × 12
= 108 pancakes
As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .
Select the correct answer.
What is 75 equal to?
O A.
7 x 5
O B.
5 x 5 x 5 x 5 x 5 x 5 x 5
OC.
7x7x7x7x7
OD. 57
Which statement about residual plots is not true?
A. If there is an obvious pattern, the model is probably reasonable.
B. The vertical axis shows residuals.
C. The x-axis appears in the middle of the graph.
D. The sum of the residuals is 0.
Answer:
Step-by-step explanation:
d
Answer:
A
Step-by-step explanation:
Wayne is hanging a string of lights 45 feet long around the 3 sides of his rectangular patio, which is adjacent to his house. The length of his patio, the side along the house, is 5 feet longer than 2 times its width. Find the length and width of the patio.
Answer:
45=2w+L and L=2w+5
45=2w+L 45=2w+(2w+5)
45=4w+5
40=4w
10=w
L=2w+5 L=2(10)+5
L=20+5
L=25
The length of the patio is 25 feet and the width of one side of the patio is 10 feet. Because there are two width sides and one length side, this all adds up to be 45 feet long.
Can I get brainliest please?
The probability that an employee at a company uses illegal drugs is 0.08. The probability that an employee is male is 0.62. Assuming that these events are independent, what is the probability that a randomly chosen employee is a male drug user?
Answer: 0.0496
Step-by-step explanation:
If events are said to be independent it means that the probability of one happening does not affect the probability of the other.
In calculating the probability that an employee is both male and a drug user using independent events, multiply the probabilities of the individual events to find the probability of the the events happening together.
P(A) * P(B) = P(A and B)
0.08 * 0.62 = 0.0496
Probabilities are used to determine the chances of events.
The probability that a randomly chosen employee is a male drug user is 0.0496
Represent the two events as A and B, such that:
[tex]P(A) = 0.08[/tex]
[tex]P(B) =0.62[/tex]
So, the probability that a randomly chosen employee is a male drug user is calculated as:
[tex]P(A\ and\ B) =P(A) \times P(B)[/tex]
This gives
[tex]P(A\ and\ B) =0.08 \times 0.62[/tex]
Multiply
[tex]P(A\ and\ B) =0.0496[/tex]
Hence, the probability that a randomly chosen employee is a male drug user is 0.0496
Read more about probabilities at:
https://brainly.com/question/20227629
At the Fidelity Credit Union, a mean of 7.1 customers arrive hourly at the drive-through window. What is the probability that, in any hour, less than 2 customers will arrive
Answer:
The probability that, in any hour, less than 2 customers will arrive is 0.0067.
Step-by-step explanation:
The random variable X can be defined as the number of customers arriving hourly at the drive-through window at the Fidelity Credit Union.
The random variable X describes a finite number of occurrences of an event in a fixed time interval.
The random variable X follows a Poisson distribution with parameter λ = 7.1.
The probability mass function of X is:
[tex]P(X=x)=\frac{e^{-7.1}(7.1)^{x}}{x!};x=0,1,2,3...[/tex]
Compute the probability of less than 2 customers arriving as follows:
[tex]P(X<2)=P(X=0)+P(X=1)[/tex]
[tex]=\frac{e^{-7.1}(7.1)^{0}}{0!}+\frac{e^{-7.1}(7.1)^{1}}{1!}\\\\=0.00083+0.00586\\\\=0.00669\\\\\approx 0.0067[/tex]
Thus, the probability that, in any hour, less than 2 customers will arrive is 0.0067.
Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not exist, enter DNE.)
Answer:
The answer is "0".
Step-by-step explanation:
Please find the correct question in the attached file.
Given value:
[tex]\to f(x) =\frac{x^2}{x^2+5}\\\\[/tex]
Formula:
[tex]\bold{\frac{d}{dx} \frac{u}{v} = \frac{ v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}}[/tex]
[tex]\to f'(x) =\frac{(x^2+5) 2x -2x^3 (2x)}{(x^2+5)^2}\\\\\to f'(0) =\frac{(0^2+5)2(0) -4(0)^4}{(0^2+5)^2}\\\\\to f'(0) =\frac{(0)(5) -2(0)}{(5)^2}\\\\\to f'(0) =\frac{0 - 0}{(5)^2}\\\\\to f'(0) =\frac{0}{25}\\\\\to f'(0) = 0[/tex]
I don't understand this can you help me pls?
Think about the expansion for the binomial
(2x - y2)6.
The first term of this binomial is 2x.
The second term of this binomial is -y2.
What is the correct formula for the fifth term in this binomial expansion?
A)6C4(2x)4(-y2)2
B)6C4(2x)2(-y2)4
C)6C5(2x)(-y2)5
Answer: B
6C4(2x)2(-y2)4
Step-by-step explanation:
2020 edge
is -3.7 less than,greater than or equal to -3.8 ?
-3.7 is greater than -3.8, but is it not less than of equal to -3.8
can someone plaese help me
Complete the table of values to find the solutions of the equation -x + y = 6.
Answer:
Answer:
X l Y
-2 l 4
-1 l 5
0 l 6
1 l 7
2 l 8
Step-by-step explanation:
X l Y
-2 l - (-2) + y =6 => y = 6 - 2=> y = 4
-1 l - (-1) + y =6 => y = 6 - 1=> y = 5
0 l - (0) + y =6 => y = 6 + 0=> y = 6
1 l - (1) + y =6 => y = 6 +1 => y = 7
2 l - (2) + y =6 => y = 6 + 2=> y = 8
Note: - (-a) + b = a + b
- (a) + b = - a + b
A hockey player needs to shoot a puck 55 m from his current location to his opponents goal to score a goal after the shot the puck is 120 cm from his opponents goal if there are 100 cm in 1 m how many meters did the puck travel
Answer:
Step-by-step explanation:
hockey canada
Answer:
The puck changes direction at
✔ (25, 0) .
The puck goes into the opponent’s score zone located at
✔ (50, 20)
, because the graph is
✔ symmetric .
Step-by-step explanation:
The cost of a ticket t will be no more than 26$
Answer: What's the question?
Step-by-step explanation:
Which property justifies the statement if y = 7, then 7 = y?
How many gallons of paint should be purchased to paint 10 motel rooms as shown in the illustration?
(Do not paint the floor.) It takes 1 gal to paint 240 square feet (ft 2).
10 ft
8 ft
20 ft
6. (02.01 MC)
The US Department of Health and Human Services wants to know whether the national healthcare system is achieving its goals in Florida. Much information about healthcare comes from
patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US Department of Health and Human Services conducted the
Florida Health Survey, which was used to interview a random sample of 62,348 people who live in the state of Florida.
Part A: What is the population for this sample survey? What is the sample? (4 points)
Part B: The survey found that 74% of males and 83% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to
the truth about the entire population? Explain. (6 points) (10 points)
Answer:
A)i) Population: Total number of people that reside in Florida..
II) Sample: 62348 people that took part in the random survey.
B) No, the estimates are not close to the truth of the entire population.
Step-by-step explanation:
A)i) The population is the total number of people that reside in Florida.
II) The sample is the 62348 people that took part in the random survey.
B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.
. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what circumstances? Below are listed the numbers of deaths from lightning since 1996. Golf/ball field Boating/ in water Outside/camping Construction Under a tree Phone Other 1996–2000 16 23 117 9 40 0 30 2001–2005 17 16 112 3 35 0 23 2006–2010 15 17 91 0 42 1 16 Choose one fatality at random and find each probability. a. Given that the death was after 2000, what is the probability that it occurred under a tree? b. Find the probability that the death was from camping or being outside and was before 2001. c. Find the probability that the death was from camping or being outside given that it was before 2001
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P(U |D ) = 0.198 [/tex]
b
[tex]P(O\ n \ B) = 0.188[/tex]
c
[tex]P(O | B) = 0.498 [/tex]
Step-by-step explanation:
The total number of deaths is mathematically represented as
[tex]T = 16 + 23 + \cdots + 16[/tex]
[tex]T =623 [/tex]
The total number of deaths in 1996 - 2000 is mathematically represented as
[tex]T_a = 16 + 23+ \cdots + 30[/tex]
[tex]T_a = 235 [/tex]
The total number of deaths in 2001 - 2005 is mathematically represented as
[tex]T_b = 17 + 16 + \cdots + 23[/tex]
[tex]T_b = 206 [/tex]
The total number of deaths in 2006 - 2010 is mathematically represented as
[tex]T_c = 15 + 17 + \cdots + 16[/tex]
[tex]T_d = 182 [/tex]
Generally the the probability that it would occur under the tree given that the death was after 2000 is mathematically represented as
[tex]P(U |D ) = \frac{P(A \ n\ U )}{P(A)}[/tex]
Here [tex]P(A \ n\ U )[/tex] represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as
[tex]P(A \ n\ U ) = \frac{Z}{ T} [/tex]
Here Z is the total number of death under the tree after 2000 and it is mathematically represented as
[tex]Z = 35 + 42[/tex]
=> [tex]Z = 77 [/tex]
=> [tex]P(A \ n\ U ) = \frac{77}{ 623} [/tex]
=>
Also
[tex]P(A)[/tex] is the probability of the death occurring after 2000 and this is mathematically represented as
[tex]P(A) = \frac{T_b + T_c}{ T}[/tex]
=> [tex]P(A) = \frac{ 206+ 182}{623}[/tex]
=>
So
[tex]P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+ 182}{623}}[/tex]
=> [tex]P(U |D ) = 0.198 [/tex]
Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as
[tex]P(O | B) = \frac{T_z}{ T}[/tex]
Here [tex]T_z[/tex] is the total number of death outside / camping before 2001 and the value is 117
So
[tex]P(O \ n \ B) = \frac{117}{623}[/tex]
=> [tex]P(O\ n \ B) = 0.188[/tex]
Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as
[tex]P(O | B) = \frac{ P( O \ n \ B)}{ P(B)}[/tex]
Here [tex]P(B)[/tex] is the probability that it was before 2001 , this is mathematically represented as
[tex]P(B ) = \frac{T_a}{T}[/tex]
=> [tex]P(B ) = \frac{235}{623}[/tex]
So
[tex]P(O | B) = \frac{ \frac{117}{623}}{ \frac{235}{623}}[/tex]
=> [tex]P(O | B) = 0.498 [/tex]
A large brick oven takes 64 minutes to cook 16 pizzas. How long would it take to cook two pizzas?
Answer:
It would take 8 minutes to cook 2 pizzas in a brick oven.
Step-by-step explanation:
Answer:
It would take 8 minutes to cook 2 pizzas in a brick oven.
The Diameter Of a circle is 10 cm. find its area in terms of pi
what is 2 times 4 time 2
Answer:
16
Step-by-step explanation:
Answer:
16
Explanation:
2 x 4 = 8
8 x 2 = 16
There are 8 fluid ounces in one cup.
Write this as a unit rate.
Hint: use per, every, or each.
Answer:
8
Step-by-step explanation:
1,032 divided by 10 to the 4th power
Answer:
0.1032
Step-by-step explanation:
Answer:
25000
Step-by-step explanation:
10x10=100
100x10=1000
1000x10=10000
10000x10=100000
100000 divied by 4= 25000
Question 1: A researcher wants to know about the average salary of all General Motors workers. The data can only be collected as whole US dollars. This data can be considered: * qualitative nominal qualitative ordinal quantitative discrete quantitative continuous Question 2: A researcher pla
Answer:
Quantitative Discrete
Step-by-step explanation:
The data about the average salary of all general motor workers cooled ONLY as WHOLE U. S DOLLARS
Firstly, data involving worker's salary are best expressed in figure, hence making such data numerical in nature. Numerical variables are quantitative data as it allows for numerical computation and analysis such as addition, subtraction, mean of the data values and so on.
Secondly, since these data has been strictly restricted to be expressed in whole numbers, this makes the range of the data collected finite and hence countable. This properties ensure that the quantitative data (average salary) is discrete in nature.
please I need a quick help
Answer:
x intercept (-2,0) y intercept (0,2)
Step-by-step explanation:
Answer:
I'm pretty sure these are the answers
x-intercept (-2,0)
y-intercept (0,2)
Explanation:
x-intercept: Is coordinates where the line hits the x-axis
y-intercept: Is coordinates where the line hits the y-axis
A common multiple is 180 true or false
Answer:
False
Step-by-step explanation:
ANSWER PLS ABOUT FRACTIONS
Answer:
Step-by-step explanation:
[tex]\frac{3}{5} +\frac{1}{4} +\frac{3}{8} =[/tex] Distance Janie walked
First add [tex]\frac{1}{4} and\frac{3}{8}[/tex] canvert 1/4 by multiplying by 2/2 to get a commmon denominator.
[tex]\frac{1}{4} *\frac{2}{2} =\frac{2}{8}[/tex]
[tex]\frac{2}{8} +\frac{3}{8} =\frac{5}{8}[/tex]
Now find a common denominator for 3/5 and 5/8 by multiplying 3/5 by 8/8 and 5/8 by 5/5.
[tex]\frac{3}{5}*\frac{8}{8}=\frac{24}{40}[/tex]
[tex]\frac{5}{8}*\frac{5}{5}=\frac{25}{40}[/tex]
Now add them.
[tex]\frac{24}{40}+\frac{25}{40}=\frac{49}{40}=1\frac{9}{40}[/tex]miles
You can also convert all to decimals and add.
3/5 = .6
1/4 = .25
3/8 = .375
.6 + .25 + .375 = 1.225
Also 1 [tex]\frac{9}{40}[/tex] = 1.225
Question 1 (2 points)
Bentley is trying to get better at skateboarding. He has a goal of skateboarding 5 miles total this week with two short runs and one longer run. His two short runs total 2.25 miles. How long will his long skateboard run need to be in order to hit his goal?
To find the length of Bentley’s long run, you would use:
5 – 2.25
Question 1 options:
True
False
Answer:
True
Step-by-step explanation:
If he is doing 2 short runs and one long run, and his 2 short runs equal 2.25 miles, you'd need to subtract them from the total to find out the long run.
(9x+5)+(-2x^2+10x)
(9x+5)+(−2x
2
+10x)
Answer:
If i´m correct and read the answer correct it should be:
-18x³+80x²+65x+5
Step-by-step explanation:
Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.