Answers
The new coordinates of dilated rectangle by scale factor of 1/4 are J(1, 2), K(3, 2), L(3, 1), and M(1, 1) we can draw figure.
We are given the coordinates of the vertices of a rectangle J(4,8), K(12,8), L(12,4), and M(4,4).
To dilate the rectangle by a scale factor of 1/4, we need to multiply each coordinate by 1/4.
Multiplying each x-coordinate by 1/4
x-coordinate of J: 4 * 1/4 = 1
x-coordinate of K: 12 * 1/4 = 3
x-coordinate of L: 12 * 1/4 = 3
x-coordinate of M: 4 * 1/4 = 1
Multiplying each y-coordinate by 1/4
y-coordinate of J: 8 * 1/4 = 2
y-coordinate of K: 8 * 1/4 = 2
y-coordinate of L: 4 * 1/4 = 1
y-coordinate of M: 4 * 1/4 = 1
Therefore, the coordinates of the dilated rectangle are: J(1,2), K(3,2), L(3,1), and M(1,1).
Using these new coordinates, we can draw the dilated rectangle by plotting the four vertices on a coordinate plane.
The dilated rectangle has the same shape and orientation as the original rectangle, but it has been reduced in size by a scale factor of 1/4.
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Related Questions
Question attached. You dont need to send working out just and answer to 2dp
Answers
The value of length of AG is,
AG = 157.02
We have to given that;
AD = 31 cm
DC = 22 cm
Hence, We get;
AC = √31² + 22²
AC = √961 + 484
AC = √1445
AC = 38
Thus, We get;
cos 76° = AC / AG
0.242 = 38 / AG
AG = 38/0.242
AG = 157.02
Therefore, The value of length of AG is,
AG = 157.02
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The graph of which equation passes through the
point
Answers
Answer:
The answer is A.
A graph passes through a point if its equation is equal to the coordinate of this point. In this exemple:
5x+4y=8
we replace the variables with 4 and -3 (x with 4 and y with -3):
5(4)+4(-3)=8
20-12=8
8=8 so it passes.
NOW , for the slope:
slope = - 5/4 ( the equation is 5x+4y=8 , the cartesian equation is 5x+4y-8=0. THE cartesian equation with variables is ax+by+c=0) NOW this is linked with the slope bcz the slope is linked to the director vector (-b;a) that gives (-4;5), this is the director vector's formula that we're going to call U. THEN with this formula you get the slope: Y of U / X of U = 5/-4 = - 5/4 (bcz you dont leave the denominator with a negative sign).
THAT'S it thats the answer.
A cylinder has a base radius of 6ft and a height of 18ft. What is its volume in cubic ft, to the nearest tenths place?
Answers
Answer:
2035.8 ft³
Step-by-step explanation:
You want to know the volume of a cylinder with radius 6 ft and height 18 ft.
VolumeThe volume of a cylinder is given by the formula ...
V = πr²h
For the given dimensions, the volume is ...
V = π(6 ft)²(18 ft) ≈ 2035.8 ft³
The volume of the cylinder is about 2035.8 cubic feet.
__
Additional comment
If you use 3.14 for π, you get 2034.7 cubic feet.
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The box plots display the scores that two different groups of students got on their last math quiz.
Answers
The correct option is A.
The interquartile range for Data Set A is 15 and the interquartile range for Data Set B is 10.
Given that, the box plots display the scores that two different groups of students got on their last math quiz.
We need to find the interquartile range of each data set.
So, the interquartile range of data set A = 80-65 = 15
the interquartile range of data set B = 90-80 = 10
Hence, the interquartile range for Data Set A is 15 and the interquartile range for Data Set B is 10.
The correct option A.
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determine the number and type of solutions
2x²-7x-30=0
Answers
The equation 2x² - 7x - 30 = 0 has two solutions: x = -5/2 and x = 6 and both solutions are real.
What is the number and type of solutions of the quadratic equation?Given the equation in the question:
2x² - 7x - 30 = 0
We can use the quadratic formula to to determine the number and type of solutions :
x = (-b±√(b² - 4ac)) / (2a)
2x² - 7x - 30 = 0
a = 2
b = -7
c = -30
Plugging in these values, we get:
x = (-b±√(b² - 4ac)) / (2a)
x = (-(-7) ± √((-7)² - ( 4 × 2 × -30))) / (2×2)
x = (7 ± √( 49 - ( -240))) / (4)
x = (7 ± √( 49 + 240)) / (4)
x = (7 ± √( 289)) / (4)
x = (7 ± 17) / 4
x = (7 - 17) / 4 and x = (7 + 17) / 4
x = -5/2 and x = 6
Therefore, the two solutions are x = -5/2 and x = 6.
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Find the volume of the composite solid. Round your answer to the nearest hundredth.
6 ft
-12 ft
The volume is about
cubic feet.
Answers
(4/3) Pi r^3 -formula for sphere\/\/\/
2/3 Pi r^3- formula for hemisphere*
Going to use these two, substitute and add together
Cone- 144 pi
Hemisphere- 144pi
Cone + hemisphere =288pi OR about 904.78
PLEASE HELP HURRY FAST PLEASE THANK YOU! please put answers as either a b c or d thank you and please help me on every single one ill give brainiest if completed thanks
4. Find the rational roots of x^4+5x^3+7x^2-3x-10=0
A. -2,1
B. 2,1
C. -2,-1
D. 2,-1
5. Find all the zeros of the equation 3x^2-4=-x^4
A. 1,2i
B. -1,-2i
C. 1,-1,2i,-2i,0
D. 1,-1,2i,-2i
6. What is a polynomial function in standard form with zeros 1,2,-2, and -3?
A. x^4+2x^3+7x^2-8x+12
B. x^4+2x^3-7x^2-8x+12
C. x^4+2x^3-7x^2+8x+12
D. x^4+2x^3+7x^2+8x+12
7. Which correctly describes the roots of the following cubic question.
x^3-3x^2+4x-12=0
A. three real roots, each with a different value
B. one real root and two complex roots
C. three real roots, two of which are equal in value
D. two real roots and one complex root
8. What is the solution of 5^3x=900. Round your answer to the nearest hundredth
A. 1.24
B. 1.41
C. 4.23
D. 0.69
9. x= 1,2,4,6,8,10,11 y= 0,-1,0,4,8,9,8 <--- Table is right here
Which of the following questions best represents the regression line for the data given in the table above.
A. y=x+2
B. y=2x-2
C. y=-x-2
D. y=x-2
10. Is the relationship between the variables in the table a direct variation, an inverse variation, both, or neither? If it is a direct or inverse variation, write a function to model it. ---> Table x= 2,5,12,20 y= 30,12,5,3
A. direct variation; y=15x
B. inverse variation; y=60/x
C. direct variation; y=2x+2
D. neither
11. A drama club is planning a bus trip to New York City to see a Broadway play. the cost per person for the bus rental varies inversely as the number of people going on the trip. It will cost $30 per person if 44 people go on the trip. How much will it cost per person if 55 people go on the trip. Round your answer to the nearest cent if necessary
A. $48.00
B. $12.50
C. $24.00
D. $33.00
12. What is the simpler form of the radical expression? 4sqrt2401x^12y^16
A. 49|x^9|y^16
B. 49x^9|y^16|
C. 7|x^3|y^4
D. 7x^3|y^4|
13. Simplify. 125^1/3
A. 125
B. 5
C. 25
D. sqrt125
14. Graph the function. y=sqrtx+3
15. An initial population of 293 quail increases at an annual rate of 6%. Write an exponential function to model the quail population. What will the approximate population be after 4 years?
A. f(x)=(293 x 1.06)^x; 930
B. f(x)=293(0.06)^x; 379
C. f(x)=293(1.06)^x; 370
D. f(x)=293(6)^x; 190
16. Evaluate the logarithm
log3 2187
A. 5
B. 6
C. 7
D. -7
17. Estimate the value of the logarithm to the nearest tenth
log4 22
A. 2.2
B. 0.4
C. -0.7
D. 3.2
18. Solve 1n 4 + 1n (3x)=2. Round your answer to the nearest hundredth
A. 1.13
B. 0.18
C. 1.41
D. 0.62
19. Write an equation for the translation of y= 4/x that has the asymptotes x=7 and y=6.
A. y= 4/x-6 +7
B. y= 4/x+7 +6
C. y= 4/x-7 +6
D. y= 4/x+6 +7
20. What is the graph of the rational function?
y=(x-5)(x-3)/(x+4)(x-4)
21. What are the points of discontinuity?
y=(x-3)/x^2-12x+27
A. x=4,x=9,x=1
B. x=-9,x=-3
C. x=-9,x=-3,x=-1
D. x=9,x=3
22. What is the quotient 6-x/x^2+2x-3/x^2-4x-12/x^2+4x+3 in simplified form? State any restrictions on the variable.
23. Simplify the complex fraction x+3/ 1/x+1/x+3
A. x^2/2x+3
B. x^2/2x
C. x^2/x+3
D. x^2+2x+3/2x+3
24. Simplify the difference
x^2-x-56/x^2+6x-7 - x^2+2x-15/x^2+9x+20
A. x-71/(x-1)(x+4)
B. 2x^2-8x-29/(x-1)(x+4)
C. -8x-35/(x-1)(x+4)
D. -35/(x-1)(x+4)
25. Solve the equation 1/x-3+1/x+5=1/3
A. x=1,x=7
B. x=3,x=-5
C. x=-3,x=1
D. x=-3,x=7
Answers
Answer:
Step-by-step explanation:
4. A. Im not sure but that seems like the most logical.
5. D.
6. B.
7. B.
8. I think it's A. maybe-
9.- id-k sorry-
10. i--dk..]
11. C
12. D
13. B.
15. C.
16. C
17. A.
18. D
19. C.
21. D.
22. -(x+1)/(x-1)(x+2) x does not equal -3, -2, 1, and 6
23. i d-ksorry
24.i-d-k sorry
25. D.
Hope this helped sorry i culdn't get them all-
The answers to all parts are shown below.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
1. x⁴ + 5x³ + 7x² -3x - 10 = 0
= (x-1)(x+2)(x² + 4x + 5)
Thus, the rational roots are 1 and -2.
2. 3x² -4 = - x⁴
x⁴ + 3x² -4 = 0
(x-1)(x+1)(x² + 4) =0
Thus, the zeroes are 1, -1, -2i, +2i.
3. We can write the zeroes as
p(x)=(x-1)(x-2)(x+2)(x+3).
So, p(x) = x⁴ + 2x³ -7x² -8x +12
4. x³ -3x² +4x- 12=0
(x-3)(x²+4) =0
x= 3, -2i, 3i
5. x= 1,2,4,6,8,10,11
y= 0,-1,0,4,8,9,8
So, equation of line
(y- 0) = (-1-0)/(2-1)(x-1)
y = -1(x-1)
y + x +1=0
6. x= 2,5,12,20 and y= 30,12,5,3
k = 30/2
k = 15
So, the relationship is y= 15x.
7. cn = constant(k)
n= 44
then, c= 30/44 = 0.68
and, k = 44 x 0.68
k = 30
So, c = 1.5 dollars per person.
8. 125¹/³
= (5³)¹/³
= 5
9. y = 293(1.06)⁴ = 370
10. log₃ 2187
= log₃ 3⁷
= 7
11. log₄ 22
= 2.29
12 . y= 4/x
The new equation is y = 4/(x - 7) + 6.
13. (6-x)/ (x² + 2x - 3) / (x² -4x- 12)/ (²x² + 4x + 3)
= - (x+1)/ (x+1)(x+2)
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You will purchase 700 frozen treat's the cost to you should be at most 400 your goal is to make a profit of at least $800. Explain to Omar how your decision meets each of the criteria. Include the number of each type of treat in your explanation
Answers
The decision meets each of the criteria by: Buying 500 popsicles at $0.50 each and 200 ice cream sandwiches at $1.50 each enables the purchase of 700 frozen delights within the $400 budget and satisfies the objective of producing at least $800 in profit.
How did your decision meets each of the criteria?I have made the decision to buy 500 popsicles at $0.50 each and 200 ice cream sandwiches at $1.50 each in order to fulfil the requirement of buying 700 frozen delights at a price of no more than $400.
Cost of purchasing 500 popsicles = (500 * $0.50)
Cost of purchasing 500 popsicles = $250
Cost of purchasing 200 ice cream sandwiches =(200 * $1.50)
Cost of purchasing 200 ice cream sandwiches = $300
So, Total cost of purchasing all 700 frozen treats is $550 ($250 + $300) which is within the budget of $400.
I intend to sell the popsicles for $1.50 each and the ice cream sandwiches for $3.00 each in order to meet the requirement of turning a profit of at least $800. This would bring in $1350 in income for the ice cream sandwiches and $750 for the popsicles (500 * $1.50 and 200 * $3.00 respectively).
The objective of producing a profit of at least $800 is met after deducting the expense of buying the frozen treats from the overall income.
Net profit =($1350 - $550)
Net profit = $800
Therefore purchasing 500 popsicles at $0.50 each and 200 ice cream sandwiches at $1.50 each satisfies the objective of producing at least $800 in profit.
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what is the surface area of the capsule ? round your answer to the nearest hundredth
Answers
I'm sorry, but I cannot answer this question without additional information about the dimensions of the capsule. Please provide me with the necessary information so that I can assist you.
Solve for x.
Trigonometry
explain how you got your answer please
Answers
The value of x in the triangle is 12.285.
We have,
We use cosine identities.
So,
Cos Ф = Base / Hypotenuse
Now,
Cos 35= x/15
0.819 = x/15
x = 0.819 x 15
x = 12.285
Thus,
The value of x is 12.285.
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i nedddddddd help on thisssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answers
b) the answer is -9,8
Please help, due tonight!
Answers
The area of the trapezoid with parallel sides of 8 meters and 7 meters, and a height of 4 meters, is 30 square meters.
To find the area of a trapezoid, we use the formula:
Area = (a + b)h/2
where "a" and "b" are the lengths of the parallel sides of the trapezoid, and "h" is the height of the trapezoid.
In this case, we are given that the parallel sides are 8 meters and 7 meters, and the height is 4 meters.
Substituting these values into the formula, we get:
Area = (8 + 7) x 4 / 2
= 15 x 4 / 2
= 60 / 2
= 30 square meters
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simplify -6 times the square root 7 X 4 times the square root 5
Answers
Answer:
-24√35
Step-by-step explanation:
Mark Brainliest!!
(+25)-5x5:2+2²
27-5×5=2+2²
Answers
Answer:
16.5 = 6
Step-by-step explanation:
The equation given is (+25)-5x5:2+2² = 27-5×5=2+2². When calculating, we first simplify the division to get (+25)-12.5+4 = 27-25+4. Then we add and subtract the values on either side to get 16.5 = 6. Finally, as the equation is incorrect, we can conclude that the initial assertion is false. It is important to carefully follow the order of operations and simplify expressions correctly to avoid errors in equations.
Problem 3
Draw the pictures to compute 1 ÷ 11 in a base ten system, and show the answer is 0.09.
Answers
The result of 1/11 in the base 10 system is given as is 0.09.
How to solveTo visualize the long division of 1 ÷ 11 in a base ten system:
Set up the long division: 11 outside and 1.00 inside the division bracket.
Place the decimal point in the quotient above the dividend's decimal point.
Bring down the first digit (0) and divide 11 into 10; it goes 0 times.
Subtract the product (0) from 10, leaving 10.
Bring down the next digit (0) and divide 11 into 100; it goes 9 times.
Subtract 99 from 100, leaving a remainder of 1.
The result is 0.09.
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Help need help now
A beaker is shaped like a cylinder with a radius of 1.8 inches and a height of 4.6 inches. It is filled to the top with a solution. Caleb wants to pour it into a different beaker with a radius of 1.25 inches. What is the minimum height the second beaker must be so it does not overflow? Round to the nearest tenth.
Answers
The minimum height the second beaker must be so it does not overflow is 9.55 inches.
Given that a beaker has a radius of 1.8 inches and height of 4.6 inches. we need to find the height of another beaker which has the radius of 1.25 in and has same volume,
Volume of a cylinder = π × radius² × height
= 3.14 × 1.8² × 4.6
= 46.8 in³
Now, the second beaker =
46.8 = 3.14 × 1.25² × h
h = 46.8 / 3.14 × 1.25²
h = 9.55
Hence, the minimum height the second beaker must be so it does not overflow is 9.55 inches.
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Mark is running in a 13-mile race.He has run 5miles so far
Answers
The required Mark has completed 38.46% of the race.
To calculate the percentage of the race completed by Mark, we can divide the number of miles he has run by the total length of the race and then multiply by 100 to convert the result to a percentage.
So, Mark has run 5 miles out of a total of 13 miles:
Percentage of race completed = (5/13) x 100%
Calculating this expression, we get:
Percentage of race completed = 38.46%
Therefore, Mark has completed 38.46% of the race.
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HELP PLS ASAP DETERMINE THE RANGE
Answers
Answer:
-7≤y≤2
Step-by-step explanation:
The range measures the highest and lowest numbers up and down on the y-axis for a line. In order to determine range, start with the smallest number (the farthest place the line touches going down) then write less than or equal to. This is because the two dots are closed, meaning they include what the line touches. Afterward, add another less than or equal to, and then add the biggest number (the highest place the line touches going up). The range basically gives you your boundaries, and tells you how high or low the line you are describing is. And after that, you're done!
I hope this helps :)
Graph the line with slope
3/4
passing through the point (-4,-1)
.
Answers
Answer:
check attachment
Step-by-step explanation:
First write in point-slope form:
y-y1=m(x-x1)
Now substitute:
y-(-1)=3/4(x-(-4))
And then just solve. You should get a y-intercept of 2.
Convert 135° from degrees to radians.
Answers
Answer:
Answer:Radians = Degrees × 3.14/180
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180= 0.0174
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180= 0.0174135×0.0174
Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180= 0.0174135×0.0174 = 2.355
You're trying to save to buy a new $160,000 Ferrari. You have $58,000 today that can be invested at your bank. The bank pays 6 percent annual interest on its accounts. How many years will it be before you have enough to buy the car? Assume the price of the car remains constant. explain
Answers
You need 9 years to buy the car.
Given that, you need to $160,000, you have $58,000, the bank pays 6 % annual interest on its accounts. we need to find the number of years will it be before you have enough to buy the car,
A = P(1+r)ᵇ
102000 = 58000(1+0.06)ᵇ
1.75 = 1.06ᵇ
log 1.75 = b log 1.06
b = 9.6
Hence, you need 9 years to buy the car.
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what expression is not equivalent to 2/3 x 4
Answers
Answer:
there are no choices given but...
Step-by-step explanation:
this simplifies to 8/3, or 2 2/3
find the choice that isn't either of those ( is also 2.66666 repeating)
a square room has a floor area of 25 square feet. the height of the room is 6 feet. what is the area of all 4 walls
Answers
Answer:
100
Step-by-step explanation:
the room is square this means each wall equal 25 .4 walls *25 =100 square feet
Answer:120
Step-by-step explanation:
The volume of 1,000 drops of a liquid is 10 fluid ounces. What is the volume of 10 drops?
Answers
Answer:
0.1 oz
Step-by-step explanation:
1000=10 oz
10 drops
1000/100=10
10/100=O.1 oz
What are the coordinates of the image of the point (8,1) after a dilation by a scale factor of 2 with the origin as the center of dilation, followed by a translation over the y-axis
Answers
The point after a dilation by a scale factor of 2 with the origin as the center of dilation, and a translation over the y-axis is (-16, 2).
Given is a point, (8, 1) we need to find the coordinates of a point which is dilated from the origin by the scale factor of 2 and translation over the y-axis,
So, the coordinates of after dilation by k scale factor =
(x, y) = (kx, ky)
So, (8, 1) = (16, 2)
Now, the translation over the y-axis gives,
(x, y) = (-x, y)
Therefore, (16, 2) = (-16, 2)
Hence, the point after a dilation by a scale factor of 2 with the origin as the center of dilation, and a translation over the y-axis is (-16, 2).
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When working for a District Attorney, an investigator analyzed the leading digits of the amounts from 784 checks issued by seven suspect insurance companies. The frequencies were found to be 0, 12, 0, 73, 482, 186, 8, 23, and 0, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's Law, the check amounts appear to result from fraud. Use a 0.05 significance level to test for goodness-of-fit with Benford's Law. What is the value of the test statistic? Does it appear that the checks are the result of fraud?
Answers
Using chi-squared goodness-of-fit test with Benford's Law, observed check frequencies were found to be significantly different, indicating possible fraud. The test statistic was 756.153, exceeding the critical value of 15.51.
Using chi-squared goodness-of-fit test with Benford's Law, observed check frequencies were found to be significantly different, indicating possible fraud. The test statistic was 756.153, exceeding the critical value of 15.51.
To test for goodness-of-fit with Benford's Law, we can use the chi-squared goodness-of-fit test. The null hypothesis is that the observed frequencies follow Benford's Law, while the alternative hypothesis is that they do not.
We can start by calculating the expected frequencies for each leading digit based on Benford's Law. According to Benford's Law, the expected proportion of leading digits is
P(d) = log10(1 + 1/d), where d is the leading digit (1, 2, ..., 9).
Then, we can calculate the expected frequencies by multiplying the proportion by the sample size
Expected frequency for digit d = P(d) * sample size.
Using this formula, we can calculate the expected frequencies for each digit
Expected frequencies: 3.542, 2.019, 1.518, 1.221, 1.028, 0.886, 0.778, 0.697, and 0.643.
We can use these expected frequencies and the observed frequencies to calculate the chi-squared statistic
chi-squared = Σ (observed frequency - expected frequency)² / expected frequency
We can then compare this value to the chi-squared distribution with 8 degrees of freedom (since there are 9 digits and one constraint, which is that the frequencies must add up to the sample size). Using a significance level of 0.05 and a chi-squared distribution table or calculator, the critical value is 15.51.
Plugging in the observed and expected frequencies, we get
chi-squared = (0 - 3.542)²/3.542 + (12 - 2.019)²/2.019 + (0 - 1.518)²/1.518 + (73 - 1.221)²/1.221 + (482 - 1.028)²/1.028 + (186 - 0.886)²/0.886 + (8 - 0.778)²/0.778 + (23 - 0.697)²/0.697 + (0 - 0.643)²/0.643
chi-squared = 756.153
Since the calculated chi-squared statistic (756.153) is greater than the critical value (15.51), we reject the null hypothesis and conclude that the observed frequencies are not consistent with Benford's Law. This suggests that the check amounts are the result of fraud.
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Last year, the rates of return on the investments in a large portfolio had an approximately mound-shaped distribution, with a mean of 20% and a standard deviation of 10%. What proportion of the investments had a return of between 10% and 30%? What proportion of the investments had a return of between -10% and 50%? b. What proportion of the investments had a return that was either less than 10% or more than 30%? What proportion of the investments had a positive return? (Hint: A mound-shaped distribution is symmetrical.)
Answers
a) The proportion of the investments had a return of between 10% and 30% is given as follows: 0.68 = 68%.
b) The proportion of the investments had a return of between -10% and 50% is given as follows: 0.997 = 99.7%.
c) The proportion of the investments had a return either less than 10% or more than 30% is given as follows: 0.32 = 32%.
d) The proportion of the investments had a positive return is given as follows: 0.9985 = 99.85%.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.Hence the percentages for this problem are given as follows:
Item a -> 68% -> within one standard deviation of the mean.Item b -> 99.7% -> within three standard deviation of the mean.Item c -> 32% -> More than one standard deviation of the mean.Item d -> all above the mean, 99.7% of the 50% below the mean -> 0.997 x 0.5 + 0.5 = 0.9985 = 99.85%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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Celia bought 40 lbs of clay for her art projects. She used 17.4 lbs to make a sculpture, and 1.01 lbs for each mug. How many mugs did Celia make if she had 7.45 lbs of clay left over?
Answers
The requried, Celia made 15 mugs if she had 7.45 lbs of clay left over.
To determine the number of mugs that Celia made, we need to first subtract the weight of the sculpture and the leftover clay from the initial weight of the clay. This will give us the total weight of clay that Celia used for the mugs:
Total weight of clay used for mugs = 40 lbs - 17.4 lbs - 7.45 lbs = 15.29 lbs
Next, we can divide the total weight of clay used for the mugs by the amount of clay used per mug:
Number of mugs = Total weight of clay used for mugs / Amount of clay used per mug
Amount of clay used per mug = 1.01 lbs/mug
A number of mugs = 15.29 lbs / 1.01 lbs/mug = 15.13
Therefore, Celia made 15 mugs.
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What is 200,000,000 divided by 100,000
Answers
the answer to your math problem is 2000
3 A line passes through the point (-8, 9) and has a slope of 3/4
Write an equation in slope-intercept form for this line.
Answers
Answer:
y = 3/4x + 15
Step-by-step explanation:
Given;
A line passes through the point (-8, 9) and has a slope of 3/4
Question:
Write an equation in slope-intercept form for this line.
Solve:
Slope-intercept form ⇒ y=mx+b
Which-
m = Slopeb = y-intercepty and x = any point on the lineBased on the given;
m = 3/4b = ?y = 9x = -8Using slope intercept form to find y-intercept;
y=mx+b
9 = 3/4(-8) + b
9 = -6 + b
9+6 = -6+6 + b
b = 15
Therefore now we can write an equation.
y = 3/4x + 15
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