Answer:
f(6)=2
f(2)=4
f(0)=7
f(5)=1.5
Step-by-step explanation:
what is the slope-intercept equation from the line bellow
Answer:
B.) y= 5/4x - 4
Step-by-step explanation:
Slope intercept form
y = 1.25x +-4
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m = y2-y1x2-x1
m = -4-10-4
m = -5-4
m = 1.25
Now putting value of m in equation (i)
y = 1.25x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (4,1) for calculating y-intercept:
y = mx + b
1 = 1.25(4) + b
1 = 5 + b
-4 = b
b = -4
Now putting value of b in equation (ii)
y = 1.25x + -4
How to determine the area of all faces in mm2
The surface area of all faces of the cube is found as in 150,100 mm².
Explain about the cube?A solid shape having six square faces is called a cube. Because every square face has an identical side length, each face is the same size.
A cube has 8 vertices and 12 edges. An intersection of three cube edges is referred to as a vertex. A cube has twelve equal-length edges and six faces. Its faces are square-shaped. The cube's angles in the plane were right angles. The cube's faces are connected by four other faces.Area of the cube:
Area = 6*side²
Area = 6*(5)²
Area = 150 cm²
We know:
1 cm = 10 mm
Then,
Area = 150 x 100 mm²
Area = 150,100 mm²
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The complete question is-
The cube has the side length of 5 cm. How to determine the area of all faces in mm2
Solve this system of equations by graphing. First graph the equations, and then type the solution.
Consider the first equation,
\(y=\frac{3}{2}x-2\)This equation passes through (0,-2) and (2,1).
second
\(y=-\frac{1}{2}x+2\)This equation passes through (0,2) and (4,0).
Now we can plot the points and join them to get the corresponding lines on the graph as,
It is observed that the two lines intersect at point (2,1).
So the solution to the given equations must be x=2 and y=1.
helppppppppp pleaseeeeeee
Answer:
Going from up to down
Box #1=0
Box #2=3
Box #3=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Going from up to down
Box #1=0
Box #2=3
Box #3=5
Irene y Alejandro tienen 73 libros irene tiene el doble que Alejandro mas 1 cuantos libros tiene cada uno?
Irene has 49 Books, and Alejandro has 24 books.
Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:
1. Irene has twice as many books as Alejandro plus 1:
x = 2y + 1
2. The total number of books between Irene and Alejandro is 73:
x + y = 73
We can now solve this system of equations to find the values of x and y.
Substituting the value of x from equation (1) into equation (2), we have:
(2y + 1) + y = 73
3y + 1 = 73
3y = 72
y = 24
Now, we can substitute the value of y into equation (1) to find x:
x = 2(24) + 1
x = 49
Therefore, Irene has 49 books, and Alejandro has 24 books.
To verify our solution, we can check if the sum of their books equals 73:
49 + 24 = 7
So, our solution is correct.
In conclusion, Irene has 49 books, and Alejandro has 24 books.
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please help my assignment is due at 12:00!!
Answer: -13, -12.9
Step-by-step explanation:
pull out that HANDY DANDY calculator dog because we are about to go on a MATH ADVENTURE oh yea.
ok first make sure it is a reasonably good calculator but you can even use a calculator on your chromebook, maybe an online one? we need one that gives us PARENTHESES.
ok now you are going to want to input into this calculator, \((335 / 2)\) in other words 335 divided by 2. what do we get? we get
\(167.5\)
ok cool WE ARE MAKING PROGRESS HERE!!!
now i want you to look for the square root button, it looks like a radical like this
\(\sqrt[2]{}\) or MAYBE IT DOESNT EVEN HAVE THE 2 and it is just: \(\sqrt[]{}\)
and press it, it should give you the square root but we want to find \(\sqrt{167.5}\)
and we get.....
\(12.942...\)
MY GOD THAT IS A SUPER LONG NUMBER! but its ok we only need 3 digits after the decimal. now notice that there is a negative sign behind that radical. thats radical, dude, ok now we have \(-12.942...\)
if we round to the nearest INTEGER then we need to round to the nearest WHOLE NUMBER which is
\(-13\)
and the nearest TENTH is one number after the decimal place so it would be...
\(-12.9\)
SURFS UP DUDE
P.S. i mention the parentheses because you can even do \(\sqrt{(335/2)}\) (press square root button then opening parentheses then 335 / 2 then close parentheses and hit equal sign or ENTER) but dont forget that EPIC NEGATIVE SIGN!!!!!!!
Which of the following cannot be determined from the boxplots shown?
16
14
12
10
Set A
Set B
A. The minimum of set B is smaller than the minimum of set A
B. The maximum of set A is the same as the maximum of set B
OC. The median of set A is larger than the median of set B
OD. The mean of set A is larger than the mean of set B
The correct option is D the mean of set A is larger than the mean of set B.
A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.
Here in the the box and whisker plot data values are not marked and these based on five points so mean cannot be determined here because mean required marked values.
The mean formula is given as the average of all the observations. It is expressed as Mean = {Sum of Observation} ÷ {Total numbers of Observations}.
But here in box and whisker plot no actual values are known so we can't find the mean.
Hence mean cannot be determined here with that given data.
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The list shows the score of each game completed at a bowling alley during a one-hour period. 90, 96, 120, 124, 130, 135, 140, 145, 148, 290, 290.
How would the data graphed on a horizontal number line appear to be clustered or skewed? Explain your answer.
Would the mode of the data be an informative measure of center in this situation? Explain your answer.
would the median often of the data be less than or greater than the the mean? Explain your answer.
Based on the response to Part C, why is the median a less informative or more informative measure of center than less the mean?
number 5 pls pls pls i need it nowww
Answer:
4.583
Step-by-step explanation:
\(\frac{6+8+15+18+18+21+24}{24} \\=110/24\\=4.583\)
18. If Allan swims at an average speed of 2
metres per second, how long will it take
him to complete a 200 metre race?
Answer:
100 seconds
Step-by-step explanation:
200/2 = 100s
If A is the set of numbers that are multiples of 8, B is the set of multiples of 4, and C is the set of multiples of 2, which of the following is the set of integers that will be in A but not B and C?
The set of integers that will be in A but not B and C will be 24, 32, 40,
How to explain the integerThe multiples of 8 comprise a set of {8, 16, 24, 32, 40, ...}, while the multiples of 4 correspond to {4, 8, 12, 16, 20, ...} and those of 2 are documented as {2, 4, 6, 8, 10, …}. The intersection of these two sets, B and C (B ∩ C = {4, 8, 12, 16, 20, ...}) remains unchanged.
It should be noted that to obtain the number of integers found in the multples of 8 that aren’t multiples either of 4 or 2, the intersection needs to be excluded from set A. This will yield {24, 32, 40, ...} - thus it is concluded that the integer set of multiples of 8, but not of 4 or 2, is {24, 32, 40, ...}
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please help me solve,the question is A cylinder with a diameter of 8 feet is cut out of a cube that measures 8 feet on each side.What is the volume of the resulting shape? ( use Pi and round to the nearest tenth.) ______ ft3
Side of cube = 8 ft
Volume of cube = Side x Side x Side
Volume of cube = 8 x 8 x 8
Volume of cube = 512 feet^3
A cylinder with diameter 8feet is cute form the cube
Height of cylinder = Side of cube
Height of cylinder = 8 feet
Diameter of cylinder = 8 feet
Radius of cylinder = 4feet
\(\begin{gathered} \text{Volume of cylinder =}\Pi\times radius^2\times Height \\ \text{Volume of cylinder =}\Pi\times4\times4\times8 \\ \text{Volume of cylinder =}401.92ft^3 \end{gathered}\)The volume of resulting shape = Volume of cube - Volume of cylinder
Volume of resulting shape = 512 - 401.92
Volume of resulting shape = 110.08 ft^3
Answer: 110.08 ft^3
PLEASE HELP ASAP
solve -1/6[3-15(1/3)2]
Answer:
C) -2/9
Step-by-step explanation:
\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)
Answer:
Hence, Option (C) - 2/9 is the Answer:
Step-by-step explanation:
-1/6 [3 -15(1/3)^2]
-1/6(3 -15)(1/9))
-1/6(3 - 5/3)
-1/6 (4/3)
Hence, Option (C) - 2/9 is the Answer:
I hope it helps!
To practice for a competition, Genevieve swam 590 meters in the pool each day for 3 weeks. How many kilometers did Genevieve swim in those 3 weeks?
Answer:
12.39km
Step-by-step explanation:
If Genevieve swam 590 meters for 3 weeks, then the equation is:
590 * 21
590 represents the number of meters Genevieve swam, and 21 is the number of days in 3 weeks.
Hope this helped!
Answer:
12.39 kilometers
Step-by-step explanation:
if she swan 590 meters each day, we know that there are 7 days in a week so multiply 7 by 3 and get 21 days. then multiply 590 by 21 and get 12390 meters. BUT the question is asking for kilometers so we are not done. from here we have to convert 12390 meters to ___ kilometers. to go from meters to kilometers divide by 1000 and we will get 12.39 kilometers.
hope this helps! brainliest please?
A survey of 400 non-fatal accidents revealed that 268 involved a distracted driver using some kind of electronic device. Construct a 95% confidence interval for the proportion of non-fatal accidents involving a distracted driver using some kind of electronic device.
A 95% confidence interval for the proportion of non-fatal accidents involving a distracted driver using some kind of electronic device is 62.5%<x<71.61%
The 95% confidence interval for the proportion is expressed according to the formula;
\(CI=p\pm z\sqrt{\frac{p(1-p)}{n} }\)
p is the proportion = 268/400 = 0.67
z is the 95% z-score = 1.96
n is the sample space = 400
Substitute the given parameters into the formula to have:
\(CI=0.67\pm 1.96\sqrt{\frac{0.67(1-0.67)}{400} }\\CI=0.67\pm 1.96\sqrt{\frac{0.67(0.33)}{400} }\\CI=0.67\pm 1.96(0.0235)\\CI=0.67 \pm 0.0461\\CI=(0.67-0.0461, 0.67+0.0461)\\CI=(0.624, 0.7161)\\CI = (62.4 \%, 71.61 \%)\)
Hence a 95% confidence interval for the proportion of non-fatal accidents involving a distracted driver using some kind of electronic device is 62.5%<x<71.61%
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Un camino recto que continua para siempre en ambas direcciones es un
Answer: una linea
Step-by-step explanation:
A perfect square ends with the same two digits. How many possible values of this digit are there?
Answer:
A perfect square is a whole number that is the square of another whole number.
n*n = N
where n and N are whole numbers.
Now, "a perfect square ends with the same two digits".
This can be really trivial.
For example, if we take the number 10, and we square it, we will have:
10*10 = 100
The last two digits of 100 are zeros, so it ends with the same two digits.
Now, if now we take:
100*100 = 10,000
10,000 is also a perfect square, and the two last digits are zeros again.
So we can see a pattern here, we can go forever with this:
1,000^2 = 1,000,000
10,000^2 = 100,000,000
etc...
So we can find infinite perfect squares that end with the same two digits.
23 times 8 divided into 3 what’s the answer?
Answer:
We take 23 times 8 which gives us 184 and now we can figure out the second part of the question is how much 184 divide into 3 is. This wording is really weird so I think it's asking for 184/3 which would give us 61.333 with the 3 repeating.
11. Descartes is thinking of a number that when he multiplies it by 9, he gets the number he is thinking of. What number is Descartes thinking of? brainly
Descartes must be thinking of the number 0.
Now, Let's call the number Descartes is thinking of "x".
Hence, According to the problem, if Descartes multiplies "x" by 9, he gets "x" back. In other words, 9 times "x" is equal to "x".
So we can write this as an equation:
⇒ 9x = x
Now we need to solve for "x". We can start by subtracting "x" from both sides of the equation:
⇒ 9x - x = 0
⇒ 8x = 0
divide both sides by 8 to get:
⇒ x = 0
Thus, Descartes must be thinking of the number 0.
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If the inter-quartile range is the distance between the first and third quartiles, then the inter-decile range is the distance between the first and ninth decile. (Deciles divide a distribution into ten equal parts.) If IQ is normally distributed with a mean of 100 and a standard deviation of 16, what is the inter-decile range of IQ
Answer:
The inter-decile range of IQ is 40.96.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
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.
In this question, we have that:
\(\mu = 100, \sigma = 16\)
First decile:
100/10 = 10th percentile, which is X when Z has a pvalue of 0.1. So it is X when Z = -1.28.
\(Z = \frac{X - \mu}{\sigma}\)
\(-1.28 = \frac{X - 100}{16}\)
\(X - 100 = -1.28*16\)
\(X = 79.52\)
Ninth decile:
9*(100/10) = 90th percentile, which is X when Z has a pvalue of 0.9. So it is X when Z = 1.28.
\(Z = \frac{X - \mu}{\sigma}\)
\(1.28 = \frac{X - 100}{16}\)
\(X - 100 = 1.28*16\)
\(X = 120.48\)
Interdecile range:
120.48 - 79.52 = 40.96
The inter-decile range of IQ is 40.96.
You select a marble at random and then put it back. If you do this 8 times, what is the best prediction possible for the number of times you will pick a red marble?
A) 1/8
B) 2/4
C) 2/5
D) 3/11
Answer:
1/8
Step-by-step explanation:
its says 8 times. That's the only answer with a 8. (I'm not sure tho)
Fabian makes a scale drawing of his tree house with a scale factor of 1 foot = 0.44 inch. If the length of the tree house in the drawing is 3.52 inches, what is the actual length of the tree house
8 Gary deposited $4,000 in an account that earns 5% annual compounded annually. About how much interest will the account earn after 4 years if he makes no withdrawals or deposits. (7.13E) A $980 B $862 C $86 D $800
Will mark brainliest.
The word that best describes line segment ID in the image given showing a circle is: a chord.
What is a Chord?A chord can simply be described as a line segment in a circle that connects two points on the circumference of a circle to each other.
The largest chord in a circle is a the diameter. A circle can have as many chords as possible.
Considering the image given above, ID is a line segment which connects points I and D which are on the circumference of the circle together. Therefore, ID can best be described as a chord.
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TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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There are five wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are five choices for the first wire, four for the second wire, three for the third wire, etc.
Answer:
4
Step-by-step explanation:
44
On a sunny day, you and your friend were taking a long walk. You got tired and stopped near a telephone pole for a little rest, but your nervous
friend couldn't stand still. He paced out your shadow and discovered it was 5 meters long even though you are really only 1.5 meters tall. He
paced the long shadow of the telephone pole and found that it was 35 meters long. How high is the telephone pole in meters? Enter your answer
with one digit to the right of the decimal point.
The telephone pole will stands 10.5 meters tall.
Given shadow of you = 5 meters
The true height is 1.5 meters.
We must determine the telephone pole's height because its lengthy shadow is 35 meters long.
Assume that x is the height of the telephone pole..
Now we can write this as
height of shadow/ actual height
5 / 1.5 = 35 / x
By cross multiplication we get
5 * x = 35 * 1.5
We get it by dividing '5' by both sides
x = 35 * 1.5 / 5
x = 10.5 meters
Therefore ,The telephone pole is 10.5 meters tall.
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dogs to cats is 2:7 there are 90 animals how many are cats
Answer: 70 cats
Step-by-step explanation:
add 2+7 = 9
90/9 = 10
multiply 2x10 = 20 dogs
10x7= 70 cats.
Mike is three years older than his wife Karen.
Karen is five times as old as her son George.
Suppose George is g years old.
a. Write an expression, containing g, for Karen's age.
b. Write an expression for Mike's age.
c Work out the ages of the three people, when g=5.
d Work out the ages of the three people, when g=7.
Answer:
1. Karen= g^5 (not sure)
2. Mike = g^5 + 3 (not sure)
3. Karen = 25
Mike = 28
4. Karen = 35
Mike = 38
Step-by-step explanation:
1. if george age was g
karen age= g x 5 = g5
2. mike age= gx5 + 3
3. g = 5
karen age= 5 x 5 = 25
mike 25 + 3
4. g = 7
karen = 7x5 = 35
mike = 35 + 3
(i dont know if this correct or not but it my opinion)
Determine the equation of the line below using the given slope and point.
Slope = m = 4 , Point (-3,-11)
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)
The equation is:
⇨ y + 11 = 4(x + 3)Work/explanation:
Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),
where m is the slope and (x₁, y₁) is a point on the line.
Plug in the data:
\(\rm{y-(-11)=4(x-(-3)}\)
Simplify.
\(\rm{y+11=4(x+3)}\)
Hence, the point slope equation is y + 11 = 4(x + 3).Simplified to slope intercept:
\(\rm{y+11=4x+12}\)
\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation