Answer:
First one
Step-by-step explanation:
The first is not a function ( the flower-looking one) ...it does not pass the 'vertical line test'
Find −1/4(−8.6) . Write your answer as a decimal to the nearest hundredth.
Answer:
2.15
Step-by-step explanation:
I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):
(-1/4)*(-8.6)
= (8.6/4)
= 2.15
What is the domain of the red curve in the graph below?
graph
x > 0
x < 0
x > 5
x > 4
The domain of the red curve in the given graph is
x > 4
How to find the domain of the graphThe domain is controlled by the input values. considering the graph the input values are in the x axis
The least number and the maximum number is what makes the domain as it shows the extents the input values can go
The maximum number is not showing so we assume infinity since the curve continued.
For the minimum this is the point before 5 which is 4
The domain starts from 4, with 4 not inclusive to infinity and the correct option is x > 4
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Help please, I’m struggling
Standard Deviation of given set of numbers is 0.71
What is Standard Deviation?The two key areas in statistics are variance and standard deviation. It is a metric for statistical data dispersion. The degree to which values in a distribution deviate from the distribution's average is known as dispersion.
The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability. When data points are closely spaced from the mean, there is a small variation, and when they are far spaced from the mean, there is a large variation.
Standard Deviation Formula:
σ=[tex]\sqrt{\frac{sigma(xi-m)^2}{n} }[/tex]
Calculation:Given 6,4,5,5
m=[tex]\frac{6+4+5+5}{4}[/tex]=5;
⇒σ=[tex]\sqrt{\frac{(6-5)^2+(4-5)^2+(5-5)^2+(5-5)^2}{4} }[/tex]=0.707≅0.71
Standard Deviation of given set of numbers is 0.71
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what will it cost to carpet of a rectangular floor measuring 27 feet by 24 feet if the carpet costs $15.8 per square yard
To carpet the rectangular floor, it will cost $1,137.6. The result if obtained by multiplying the area of the carpet by the cost per square yard.
How to calculate the cost of a product?To calculate the cost of a product, multiply the product price for one item by the quantity.
We have a rectangular floor with a dimension of 27 feet by 24 feet. The carpet cost is $15.8 per square yard. Find the total cost to carpet it!
Let's change the unit of length.
27 feet = 27/3 yard = 9 yard24 feet = 24/3 yard = 8 yardThe area of the carpet is
A = 9 yard × 8 yard
A = 72 square yard
The total cost is
C = A × price/square yard
C = 72 × $15.8
C = $1,137.6
Hence, the total cost to carpet the floor is $1,137.6.
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172. Alex the geologist is in the desert, 10 km from the nearest point N on a long, straight
road. Alex's jeep can do 50 kph on the road, and 30 kph in the desert. Find the shortest
time for Alex to reach an oasis that is on the road (a) 20 km from N; (b) 30 km from N.
Shortest time taken for a is 0.666hours and for b is 0.866hours.
How to calculate Shortest time?Take a variable x on the possible road. Evaluate an equation of time in terms of x and find the extrema of the function. To find extrema differentiate the function and equal it to zero. Then find the roots of equation to get the extreme value, which should be the minimum time path.
Calculation:A is initial point
P is oasis
S is intermediate point
Let us assume he directly reaches x km from N at S.
then AS=[tex]\sqrt{100+X^2}[/tex] and SP=20-X
Time taken:
[tex]\frac{\sqrt{100+X^2}}{30}[/tex]+[tex]\frac{20-X}{50}[/tex]
Differentiating it and putting this to zero gives extrema value
[tex]\frac{2x}{60(\sqrt{100+X^2})}[/tex]=[tex]\frac{1}{50}[/tex]
⇒[tex]\frac{50x}{30}[/tex]=[tex]\sqrt{100+X^2}[/tex]
⇒By squaring on both sides
⇒100+X^2=[tex]\frac{25x^2}{9}[/tex]
⇒x=7.5km
x is independent of PN as while differentiating PN term became 0
Now time:
a) t= [tex]\frac{\sqrt{100+7.5^2}}{30}[/tex]+[tex]\frac{20-7.5}{50}[/tex]=0.666hours
b) t=[tex]\frac{\sqrt{100+7.5^2}}{30}[/tex]+[tex]\frac{30-7.5}{50}[/tex]=0.866hours
Shortest time taken for a is 0.666hours and for b is 0.866hours.
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Please help please ! No fake answers pls
In the diagram, what are the values of x and y?
Answer:
B
Step-by-step explanation:
the capacity of an elevator is either 15 children or 11 adults. there are 9 children in the elevator how many adults can get on?
The number of adults that can get in the considered elevator if there are 10 children already in it is 4 adults.
Suppose that the capacity of the considered elevator is expressed in the third form (neither in terms of children nor in terms of adults), as 'k'.
So, we have: k = 15 children = 15x (say each children covers x capacity)
and k = 11 adults = 11y (say each adult covers y capacity)
(here, we assumed that capacity is linearly covered, ie if one person covers some capacity, then two people cover the sum of their covered capacity).
It is given that there are 10 children in the elevator right now.
That means, k-10x = 15x -10x = 5x capacity is still remaining.
Converting x to y, as shown below:
[tex]15x = 11y[/tex]
[tex]x= \frac{11y}{15}[/tex]
Thus, 5x is equivalent to:
[tex]5x =5( \frac{11y}{15})[/tex] [tex]= \frac{11y}{3}[/tex]
It is smaller than 4y but bigger than 3y. Therefore, 3 more adults can come in it, as 4 will make the elevator get overloaded.
Thus, the number of adults that can get in the considered elevator if there are 10 children already in it is 4 adults.
The human beings-transferring enterprise has come an extended way because 1852 when Elisha Graves Otis invented the elevator safety brake and inspired a method to a customary hassle—a way to competently flow freight from floor to ground without risking lives and destroying the cargo.
If one is at the pinnacle ground of construction, all elevators will come from beneath (none can come from above), and then go away going down, while if one is on the second from the top floor, an elevator going to the pinnacle floor will skip first on the way up, and then rapidly later on at the way down – consequently, whilst a same.
Once the elevator is falling greater than half of as fast as the speed you get via jumping from rest, jumping reduces your energy and could soften the fall. in case you attempted jumping simply as soon because the elevator started to fall, you'll honestly come to be falling from a more height, and hit tougher.
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Which answer best describes the system of equations shown in the graph?
A. Not enough information
B. No solutions
C. One solution
D. Infinitely many solutions
Answer:
B
Step-by-step explanation:
they have same slopes,the slopes is 1/2,it mean they can't intersect
-2x+3 Helpppppppppppppppppppppp
Answer: 1
Step-by-step explanation: -2 times x the x would just be 1 so -2 times 1 equals -2 then -2 plus 3 is 1
if a and b are independent events with p(a) = 0.38 and p(b) = 0.55, then p(a | b) =
If a and b are independent events with p(a) = 0.38 and p(b) = 0.55, then p(a | b) = 0.38
In the given question, a and b are independent events with p(a) = 0.38 and p(b) = 0.55, then we have to find p(a | b).
Events classified as independent do not depend on other events for their occurrence.
The likelihood of both A and B happening is equal to the sum of the probabilities of A and B, which is how mathematics expresses the independence of events A and B.
If A and B are independent events, then
P(A and B) = P(A) * P(B)
Then P(A | B) = P(A and B) / P(B)
P(A | B) = P(A) * P(B) / P(B)
P(A | B) = P(A) = 0.38
Hence, if a and b are independent events with p(a) = 0.38 and p(b) = 0.55, then p(a | b) = 0.38.
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complete the square-
x^2-1/2x=8/16
thank you :)))
Line a passes through the points (0, 3)
and (4, 2). Line b passes through the
points (0, 5) and (4, 6). Do the lines
intersect? Explain.
Answer question with steps get brainliest!ASAP Answer with steps. Use photo above
The value of f(g(5)) is obtained as -2.
What are the properties of a composite function?For two functions f(x) and g(x), a composite function is defined as f(g(x)) or g(f(x)). The properties of this function are as follows,
The inverse of a composite function is the same as the composition of the inverse of both functions.
The composition of two one to one functions is always one to one.
The value of f(g(5)) is equal to the value of the composite function f(g(x)) at x = 5.
The value of g(5) from the graph is 2.
Now, f(g(5)) = f(2)
The value of f(2) from the graph is -2.
Thus, f(g(5)) = -2
Hence, the value of the given composite function is f(g(5)) = -2.
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David received 95 dollars. Write a signed number to represent this change.
Answer:
+$95
Step-by-step explanation:
We want to write a singles number that can represent this change
We know that David received $95
When someone receive something, it is positive
So to represent this, we simply put +$95
David made a profit of 95 dollars as a result of the transaction. As a result, you display this as a positive signed number, which is +95.
Explanation:Positive numbers are generally used to express positive changes in the world of mathematics, especially when working with signed numbers. In order to describe a change of 95 dollars given to David, you would use a positive signed number, which in this case would be +95. You can tell that this was an increase or gain by putting the plus symbol (plus) before the 95; in this case, David made a profit of 95 dollars.
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TRUE/FALSE. in a probability model, the sum of the probabilities of all outcomes must equal 1.
Answer:
True
Step-by-step explanation:
The probabilities of all outcomes add to 1.
Can someone please help me out I’ll mark you as brainlist
Answer: z=10, y=7
Step-by-step explanation:
z+30=40
y+10=17
solve for z by isolating z, Subtract 30 from both sides
z+30-30=40-30
z=10
solve for y by isolating y, Subtract 10 from both sides
y+10-10=17-10
y=7
test scores find the percentile rank for each test score in the data set. 12, 28, 35, 42, 47, 49, 50 what value corresponds to the 60th percentile?
The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.
Given that,
For each test score in the data set, the percentile rank is determined. 12, 28, 35, 42, 47, 49,
We have to find what number represents the 60% of the population.
We know that,
So,
Percentile rank =[(Number of values below x)+0.5]/ total number of values × 100
For 12,
Percentile rank = [0 +0.5]/7×100
= 7th
For 28,
Percentile rank = [1 +0.5]/7×100
= 21st
For 35,
Percentile rank = [2 +0.5]/7×100
= 36th
For 42,
Percentile rank = [3 +0.5]/7×100
= 50th
For 47,
Percentile rank = [4 +0.5]/7×100
= 64th
For 49,
Percentile rank = [5 +0.5]/7×100
= 79th
For 50,
Percentile rank = [6 +0.5]/7×100
= 93rd
Now,
n = 7
60th percentile = 60% of n
So,
60% of n = 60/100×7
= 0.6×7
= 4.2
Therefore, The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.
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Solve this system of equations by graphing. First graph the equations, and then type the solution.
Answer: see below
Step-by-step explanation:
They intersect at the point (2,6) which is the solution
The probability that an African American peron in the United State ha type O blood i 47%. Six unrelated African American people in the United State are elected at random
Six unrelated African American people in the United State are elected at random then the probability that all three have type O+ blood would be 0.103823
The probability that a person in the United States has type O+ blood is 47%. Three unrelated people in the United States are selected at random. Find the probability that all three have type O+ blood.
Since the probability of having a O+ blood is an independent event, so to find probability that all three have type O+ blood we will use multiplication rule of independent events as:
0.47*0.47*0.47= 0.103823
Therefore, the probability that all three have type O+ blood would be 0.103823
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A student has some pennies and dimes. All total, he has 21 coins. If he adds them up, he has $1.56. How many dimes does he have?
[Show and explain how you solved this word problem, please.]
Answer:
15 dimes and 6 pennies
What is the best unit to measure the capacity of a swimming pool.
A) milliliter
B) liter
Answer:
1 liter
Step-by-step explanation:
A milliliter is 1/1000 of a meter; measuring a pool by millimeters wouldn't make sense.
PLEASE HELP!!!!!!!!!
What is 100-2938? I'm in 5th grade but I want to know if people can explain thoroughly how they got that answer. Please and thank you.
Answer:
-2,838
Step-by-step explanation:
A good way to do this is 2,938-100 which equals 2,838. Then since you know it will be a negative number add the negative sign.
to properly examine the effect of a categorical independent variable in a multiple linear regression model we use an interaction term. group of answer choices true false
to properly examine the effect of a categorical independent variable in a multiple linear regression model we use an interaction term then it is a true statement
we have given that the by which method we use the different levels of a qualitative independent variable and we have to explain about it.
So, For his purpose, we know that the
A dummy variable is a variable that takes values of 0 and 1, where the values indicate the presence or absence of something.
And in the multiple regression method there are a lot of different variables which are used for a qualitative and for this a variable is used which is called the dummy variables.
By this variables we show the analysis between the given data. it gives the output in the 0 and 1 numbers.
So, For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.
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please helppp
How many solutions does this system of equations have?
y = 5x + 4
y = 5(x + 1)
A. none
B. exactly one
C. exactly two
D. infinitely many
Solve the following quadratic by
completing the square.
y = x² - 6x + 7
x = [?] + √[]
Steps to Remember
1. Set the y-value equal to O.
2. Remove the constant term from both sides using the
opposite operation.
3. Add (2)² to both sides (to complete the square).
4. Factor (write as a perfect square).
5. Solve for x like normal.
The solution to the given quadratic equation by completing the square is; x = 3 ± √2
How to solve quadratic equation by completing the square?We are given the quadratic equation;
y = x² - 6x + 7
1) Set the value of y to zero to get;
x² - 6x + 7 = 0
2) Remove the constant term from both sides using the opposite operation to get;
x² - 6x = -7
3) Take half of the x term and square it and add to both sides of the equation to get;
x² - 6x + 9 = -7 + 9
4) Rewrite the perfect square on the left to get;
(x - 3)² = 2
5) Take the square root of both sides to get;
x - 3 = ±√2
6) The solution will be;
x = 3 ± √2
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Slope-intercept form
Answer: 5
Step-by-step explanation:
slope is m in the formula y=mx+b
plug in the numbers for m and that's the slope
Which type of transformation is shown?
• A. A rotation
• B. A dilation
O C. A reflection
• D. A translation
Answer:
Dilation
-by-step explanation:
the figure is dilated (larger than original)
Suppose f(x) = x + 2 and g(x) = square root of x
Step 1: Find the value of f(g(16))
Step 2: Use your output from step 1 as the input for f(x). Find f(g(16))
Step 3: Find f(g(x)). Show your work (use g(x) as the input for f(x)
Thank you!!!
Answer:
[tex]f(g(16)) = 6[/tex] and [tex]f(g(x)) = \sqrt{x} + 2[/tex]
Step-by-step explanation:
Step 1 and Step 2 appear to be asking the same thing, so I will assume you meant for g(16) to be found in Step 1 and for f(g(16)) to be found in Step 2.
Step 1: Find g(16)
[tex]g(x) = \sqrt{x}[/tex], so we must plug in 16 for x to find g(16)
[tex]g(16) = \sqrt{16} = 4[/tex]
Step 2: Find f(g(16))
In order to do this, we must plug the value we found for g(16) into the equation for f(x). Thus, we must plug in 4 (the value we found in Step 1) for x in f(x).
[tex]f(x) = x + 2[/tex], so we must plug in 4 to find f(4)
[tex]f(4) = 4 + 2 = 6[/tex]
Thus, [tex]f(g(16)) = 6[/tex]
Step 3: Find f(g(x))
We must plug in the value of g(x) into f(x) to find f(g(x)).
These are the expressions for f(x) and g(x): [tex]g(x) = \sqrt{x}[/tex], [tex]f(x) = x + 2[/tex]
We find that [tex]f(g(x)) = \sqrt{x} + 2[/tex]
The required value of the function f(g(16)) is given as f(g(16)) = 6.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
f(x) = x + 2
g(x) = √x
In order to determine f(g(16)),
g(16) = √16
g(16) = 4
Now,
f(g(16)) = 4 + 2 = 6
f(g(16)) = 6
Thus, the required value of the function f(g(16)) is given as f(g(16)) = 6.
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Which one of the following is not a criterion for congruence of two triangles?
(a) ASA
(b) SSA
(c) SAS
(d) SSS
Answer:
The correct answer is (b) SSA. -- -- Read carefuly for total understanding
Step-by-step explanation:
In geometry, congruence is a relationship between two figures that means they have the same size and shape. In other words, congruent figures can be perfectly superimposed on one another. There are several criteria that can be used to determine whether two triangles are congruent.
The ASA (angle-side-angle) criterion states that if two triangles have two angles and the included side congruent, then the triangles are congruent.The SAS (side-angle-side) criterion states that if two triangles have two sides and the included angle congruent, then the triangles are congruent.The SSS (side-side-side) criterion states that if two triangles have all three sides congruent, then the triangles are congruent.However, the SSA (side-side-angle) criterion does not guarantee that two triangles are congruent. In other words, just because two triangles have two sides and the included angle congruent does not necessarily mean that the triangles are congruent. This is why the answer is (b) SSA.