Answer:
No
Step-by-step explanation:
One is used as an enlargement of the object drawn. The image formed can either be smaller or bigger.
Why do we simplify fractions?
We simplify fractions because doing so always makes them easier to work with or compute.
A fraction is a piece of the entire. The number is shown as a quotient in mathematics, where the numerator and denominator are split. Both are integers in a straightforward fraction. A fraction appears in a complex fraction's numerator or denominator. The numerator of a valid fraction is smaller than the denominator. A fraction is a mathematical concept that denotes a component of a whole or, more generally, any number of equal parts. As employed in conversational English, a fraction—such as one-half, eight-fifths, and three-quarters—indicates the number of components of a particular size. With fractions, smaller portions of a whole are represented. The whole may be made up of one thing or several things. In any case, they collectively constitute what is referred to as a whole.
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a scientist measured the weights (in grams) of 11 female guinea pigs (cavia porcellus) and got the following: 582 904 311 410 688 541 470 709 525 478 402 calculate the iqr
278 is the value of IQR.
What do we mean by IQR?The interquartile range (IQR) is a way of measuring statistical dispersion, or the spread of data, in descriptive statistics. The IQR is also known as the midspread, the middle 50%, the fourth spread, or the Spread. It is defined as the difference between the data's 75th and 25th percentiles. To calculate the interquartile range (IQR), first, compute the median (middle value) of the data's lower and upper halves. These are quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The IQR is the distinction between quarters three and one.To find the IQR:
Arrange in ascending order as follows:
311, 402, 410, 470, 478, 525, 541, 582, 688, 709, 904The middle value or the median is 525.
IOR = Q₃ - Q₁Q₁ from the lower half is 410 and Q₃ from the upper half is 688.
So, IOR = 688 - 410 = 278Therefore, the value of IQR is 278.
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Martin had 24
5
pounds of grapes left. Which expression shows the pounds of grapes Martin has if he doubles his current amount?
(2) + (2) (Four-fifths)
(2) (2) + (four-fifths)
(2) (2) + (2) (four-fifths)
(2) + (2) + (four-fifths)
Answer:
its C
Step-by-step explanation:
Answer:
16/3 pounds
Step-by-step explanation:
We are give that each friend took 2/3 pound of grapes from the bowl. Therefore, to know the total amount taken by the four friends, we will simply do cross multiplication as follows:
1 friend .................> 2/3 pounds
4 friends ...............> ?? pounds
Amount taken by the 4 friends = [4*(2/3)] / 1 = 8/3 pounds
The bowl originally had 8 pounds and 8/3 pounds were taken, therefore:
remaining amount = 8 - 8/3 = 16/3 pounds hope this helps!
what do you call boys who love algebra?
Answer:
algebros....
Step-by-step explanation:
Which represents the solution set of 5 (x 5) less-than 85.
Answer:
1
Step-by-step explanation:
Answer:
A, x < 12
Step-by-step explanation:
edge
Which data set is the most clustered around its mean?
A.4, 10, 8, 6
B.11, 3, 10, 4
C.2, 9 ,13, 4
D.11, 2, 9, 6
The data set is the most clustered around its mean is
A.4, 10, 8, 6
How to find the dataTo determine which data set is the most clustered around its mean, we can calculate the mean and the standard deviation for each data set.
calculate the mean and standard deviation for each data set
Data Set A: 4, 10, 8, 6
Mean: (4 + 10 + 8 + 6) / 4 = 28 / 4 = 7
Standard Deviation: √[(4-7)^2 + (10-7)^2 + (8-7)^2 + (6-7)^2] / 4 ≈ 1.58
Data Set B: 11, 3, 10, 4
Mean: (11 + 3 + 10 + 4) / 4 = 28 / 4 = 7
Standard Deviation: √[(11-7)^2 + (3-7)^2 + (10-7)^2 + (4-7)^2] / 4 ≈ 3.87
Data Set C: 2, 9, 13, 4
Mean: (2 + 9 + 13 + 4) / 4 = 28 / 4 = 7
Standard Deviation: √[(2-7)^2 + (9-7)^2 + (13-7)^2 + (4-7)^2] / 4 ≈ 4.27
Data Set D: 11, 2, 9, 6
Mean: (11 + 2 + 9 + 6) / 4 = 28 / 4 = 7
Standard Deviation: √[(11-7)^2 + (2-7)^2 + (9-7)^2 + (6-7)^2] / 4 ≈ 3.27
Comparing the standard deviations, we find that data set A has the smallest standard deviation of approximately 1.58. this indicates that the data points in Data Set A are the closest to the mean, making it the most clustered around its mean.
Therefore, the answer is A. 4, 10, 8, 6.
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I flip a coin twice and count the number of heads. Which of the following is a valid assignment of probabilities for the number of heads observed in two flips? Note that the coin need not be a "fair" coin.
A) Number of heads 0 1 2
Probability 1/4 2/4 1/4
B) Number of heads 0 1 2
Probability 1/3 1/3 1/3
C) Number of heads 0 1 2
Probability 1/10 5/10 4/10
D) All of the above.
A valid assignment of probabilities for the number of heads observed in two flips is D) All of the above.
The exact qualities of the coin being used determine the appropriate attribution of probabilities for the number of heads observed in two coin flips. In this situation, the probability assigned to each option must be determined and then the best choice must be decided.
A) Number of heads: 0 1 2
Probability: 1/4 2/4 1/4
Thus,
1/4 + 2/4 + 1/4
= 4/4
= 1
Therefore, option A is a valid assignment of probabilities.
B) Number of heads: 0 1 2
Probability: 1/3 1/3 1/3
Thus,
1/3 + 1/3 + 1/3
= 3/3
= 1
Therefore, option B is a valid assignment of probabilities.
C) Number of heads: 0 1 2
Probability: 1/10 5/10 4/10
Thus,
1/10 + 5/10 + 4/10
= 10/10
= 1
Therefore, option C is a valid assignment of probabilities.
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7th grade math help me please :))
Answer:
-1/2
Step-by-step explanation:
-6/12
-1/2
need help please i tried 10 20
Answer:
10 and 10
Step-by-step explanation:
You are adding the two numbers above the blank.
2x²- 6x +p=0
please solve it.
Answer:
Below
Step-by-step explanation:
You cannot 'solve' this equation..... you have only one equation and TWO unknowns p and x you will need another equation relating p and x to solve this
can you help me with the denominator please!
Answer:
\(\frac{1}{19}\)
Step-by-step explanation:
Let's let B represent the amount of blue cubes, Y represent the amount of yellow cubes, and G represent the amount of green cubes.
We know that there are three times as many blue cubes as yellow cubes. In other words:
\(B=3Y\)
We also know that the are as five times as many green cubes as blue cubes. So:
\(G=5B\)
If Sarah takes a random cube, the chance it will be a yellow cube will be the total amount of yellow cubes over the total amount of cubes. In other words:
\(P=\frac{Y}{Y+B+G}\)
We can simplify this. Let's substitute 5B for G. This yields:
\(P=\frac{Y}{Y+B+5B}\)
Combine like terms:
\(P=\frac{Y}{Y+6B}\)
We can then substitute 3Y for B. This gives us:
\(P=\frac{Y}{Y+6(3Y)}\)
Multiply:
\(P=\frac{Y}{Y+18Y}\)
Again, add:
\(P=\frac{Y}{19Y}\)
We can now cancel out the Y:
\(P=\frac{1}{19}\)
So, the chance of Sarah picking out a yellow cube is 1/19 or about 5.3% chance.
And we're done!
Shana and Marie will update parts of their computer system. They will update the motherboard for $259.99, 2 USB
ports for $39.95 each, and the DVD drive for $79.49. Shana will save $12.50 per week and Marie will save $15.50
per week. Which inequality can be used to find w, the number of weeks it will take Shana and Marie to save enough
money for the parts?
Answer:
12.5w = 419.38
and
15.5w = 419.38
Step-by-step explanation:
find the total cost of all the computer parts.
= 259.99 + 2* 39.95 + 79.49 = $419.38
Shana will save $12.50 per week and Marie will save $15.50
per week
therefore we can create two inequalities
Shana:12.50 * w = 419.38
12.5w = 419.38
w = 419.38/12.5
w = 33.5504
Marie15.50*w = 419.38
15.5w = 419.38
w = 419.38/15.5
w =27.0568
what is y + 2y + 6 (2y-4) - 5y simplified
Answer:
2(5−12)
Hope this helps!
HELP PLEASE, I CAN'T SOLVE THIS
Need help.............................
Answer: The answer is 8
Step-by-step explanation: If you round 9 52/69 you get 10 approximately and -1 29/50 is approximately -2 so 10-2=8
Help?! Anyone!
Will make brainliest
Picture attached
Answer:
3
Step-by-step explanation:
4.5/3x2=3
or for conforming
7.5/5x2
sry if wrong
There are 5 blue, 4 red, 6 magenta, and 3 yellow chips in a bag. One chip is selected at random and then a second is chosen without replacement. Find the probability that the second event will occur.
a) The second was red given that the first was blue.
b) The second was yellow given the first was magenta.
c) The second was green given that the first was red.
d) The second was red given the first was not red.
Answer:
Step-by-step explanation:
the green shape is a dilation of the black shape.what is the scale factor of the dilation?
Answer: 5
Step-by-step explanation:
Scale factor = \(\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}\)
Given: Black triangle ( original) having perpendicular with length 4 units. [2 blocks above and 2 boxes below the x-axis ]
Green triangle ( image) having corresponding side as 20 units [10 blocks above and 10 boxes below the x-axis ].
Scale factor of dilation = \(\dfrac{20}{4}=5\)
Hence, the scale factor of the dilation = 5
question is in photo, giving more points out
Answer:
atleast 95 degrees
Step-by-step explanation:
3/8 + (4/5) + (-3/8) + 5/4
Answer: 41/20
Step-by-step explanation:
3/8+(-3/8)=0
4/5+5/4=16/20+25/20
16/20+25/20=41/20
41/20
The equation P = 0.00892t^2 + 1.1149t + 78.4491 models the
United States population, P, in millions since 1900. If t
represents the number of years after 1900, then what is
the estimated population in 2025 to the nearest tenth of a
million?
343.9
219.0
356.9
217.8
The estimated population in 2025 is 356.9
What is estimation ?
In math, estimating can be used to roughly calculate an answer (getting a "rough response") or to verify its accuracy (getting the "proper answer"). Even when estimating large numbers or decimal numbers, you shouldn't need to utilize a calculator or other documented techniques.
Estimation is frequently performed by sampling, which involves counting a small sample of a given thing and extrapolating that number to a wider population. Calculating the number of sweets of a particular size that are contained in a glass jar serves as an illustration of estimation.
There are 125 years from after 1900 to 2025
P = 0.00892t^2 + 1.1149t + 78.4491
P= (0.0089x125x125)+(1.1149x125)+78.4491
=139.0625+139.3625+78.4491
=356.87
=356.9
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(a) Express each of these numbers as a
product of its prime factors in index
notation.
(i) 12
(ii) 144
(iii) 5040
Answer:
(i) 12 = 2 x 2 x 3 => 2² x 3¹
(ii) 144 = 2 x 2 x 2 x 2 x 3 x 3 => 2⁴ x 3²
(iii) 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 => 2⁴ x 3² x 5¹ x 7¹
Step-by-step explanation:
(a) Express each of these numbers as a
product of its prime factors in index
notation.
(i) 12 = 2 x 2 x 3 => 2² x 3¹
(ii) 144 = 2 x 2 x 2 x 2 x 3 x 3 => 2⁴ x 3²
(iii) 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 => 2⁴ x 3² x 5¹ x 7¹
6x + 8y = -2 -5x - 7y = 1
Answer: Solution = (- 3, 2)
Explanation:
The system of equations is
6x + 8y = -2
-5x - 7y = 1
We would eliminate x. The first step is to multiply equation 1 by 5 and equation 2 by 6. We have
30x + 40y = - 10
- 30x - 42y = 6
By adding both equations, we have
30x + - 30x + 40y + - 42y = - 10 + 6
30x - 30x + 40y - 42y = - 4
- 2y = - 4
Dividing both sides by - 2,
- 2y/- 2 = - 4/- 2
y = 2
Substitu4ing y = 2 into equation 1, we hav
6x + 8 * 2 = -2
6x + 16 = - 2
Subtracting 16 from bth sides,
6x + 16 - 16 = - 2 - 16
6x = - 18
Dividing both sides by 6,
6x/6 = - 18/6
x = - 3
Solution = (- 3, 2)
A shop has a sale of
1/3 off all items in stock.
If the original price of a dress is £60, what would be its sale price?
Answer:
20 ponds
Step-by-step explanation:
1 third us 20 pounds times by 3 is 60 so if its a 1 third sale it will cost 20 pounds
A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation
Answer:
ANSWER LINK
solve the systems in exercises 11–14. x1 − 3x2 = 5 −x1 x2 5x3 = 2 x2 x3 = 0
The solution to the system is x1 = 8, x2 = 1, and x3 = -1.
To solve the systems, we will use the method of elimination. This method involves multiplying one or both equations by a constant in order to eliminate one of the variables.
First, we will eliminate x1 from the first and second equations by multiplying the first equation by -1 and then adding the two equations together:
-1(x1 - 3x2) = -1(5)
-x1 + 3x2 = -5
-x1 + x2 + 5x3 = 2
2x2 + 5x3 = -3
Next, we will eliminate x2 from the second and third equations by multiplying the second equation by -1 and then adding the two equations together:
-1(-x1 + x2 + 5x3) = -1(2)
x1 - x2 - 5x3 = -2
x2 + x3 = 0
x1 - 6x3 = -2
Finally, we will eliminate x3 from the second and third equations by multiplying the third equation by -5 and then adding the two equations together:
-5(x2 + x3) = -5(0)
-5x2 - 5x3 = 0
2x2 + 5x3 = -3
-3x2 = -3
x2 = 1
Now that we know the value of x2, we can substitute it back into the third equation to find the value of x3:
x2 + x3 = 0
1 + x3 = 0
x3 = -1
And finally, we can substitute the values of x2 and x3 back into the first equation to find the value of x1:
x1 - 3x2 = 5
x1 - 3(1) = 5
x1 = 8
So the solution to the system is x1 = 8, x2 = 1, and x3 = -1.
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Pleaseee need help with this problem
Answer:
3y
Step-by-step explanation:
27y^5 / 9y^4 = width
When dividing numbers with powers, you subtract the second number's power from the first number's power.
27y^5 / 9y^4 = 3y^1 = 3y
What is the volume of a cylinder with a base radius of 2 and height of 6 ?
Answer:
V = 24pi
or 75.36 ( using 3.14 for pi)
or 75.39822369 ( using the pi button)
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the radius and the height
V = pi (2)^2 * 6
V = pi 4*6
V = 24 pi
If we approximate pi by 3.14
V = 3.14 * 24 = 75.36
If we use the pi button
V =75.39822369
Answer:
Step-by-step explanation:
V=pi r^2 h
r = 2
h = 6
V = 3.14 * 2 * 2 * 6
V =75.36
Find the coordinate vector [x]B of the vector x relative to the given basis B.
b1 = [5], b2 = [4], x = [-6], B = {b1,b2}
[5] [-1] [-11]
a. [-2]
[1]
b. [-74]
[-19]
c. [-2]
[2]
d. [-6]
[-11]
The coordinate vector [x]B of the vector x relative to the given basis B is [-2] [2] that is option C.
To find the coordinate vector [x]B of the vector x relative to the basis B, we need to express x as a linear combination of the basis vectors b1 and b2.
Given:
b1 = [5]
[-1]
b2 = [-11]
[1]
x = [-6]
[-19]
To find the coefficients of the linear combination, we solve the system of equations:
x = c1 * b1 + c2 * b2
where c1 and c2 are the coefficients.
Substituting the given values, we have:
[-6]
[-19] = c1 * [5] + c2 * [-11]
[4]
Solving this system of equations, we find that c1 = -2 and c2 = 2.
Therefore, the coordinate vector [x]B of the vector x relative to the basis B is:
[x]B = [-2]
[2]
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Given f(x)=4x^2+9x+9, find f(−1)
The value of the function f(-1) is -4
What is a function?A function is simply described as an equation that explains the relationship between the independent variable and the dependent variable.
From the information given, we have the function;
f(x)=4x^2+9x+9
To determine the value of f(-1)
substitute the value of x as- 1, we get;
f(-1) = 4(-1)² + 9(-1) + 9
expand the bracket, we get;
f(-1) = -4 -9 + 9
Add or subtract the values, we have;
f(-1) = -4
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