Answer:
x = 3
Step-by-step explanation:
5x + 3 = 3x + 9
subtract 3 on both sides (cancels out 3) (inverse operation)
5x = 3x + 6
subtract 3x on both sides (cancels out 3x) (inverse operation)
2x = 6
divide both sides by 2 (isolates x) (simplifies)
x = 3
What is the sample mean of the data set? Round to the
nearest hundredth
1
33
What is the sample standard deviation of the sample?
Round to the nearest hundredth
2
34
3
42
4
36
5
39
6
36
7
39
8
40
9
44
Answer:
38.11 and 3.66
Step-by-step explanation:
The sample mean and standard deviation for the given data are 38.11 and 3.66 respectively.
What is the mean absolute deviation?The average distance between an observation's mean and its variance is shown by the mean absolute deviation, a measure of variability. mean makes understanding simpler by using the data's original units. A wider deviation from the average is reflected by larger values. The mean absolute deviation is sometimes referred to as the average absolute deviation and the mean deviation.
The mean is the average of the data set and given by
Mean = sum of all the data sets/number of data set
Mean = (33 + 34 + 42 + 36 + 39 + 36 + 39 + 40 + 44)/9
Mean = 38.11
Now standard deviation is given by
[tex]s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2}[/tex]
Where N is the number of data while the x bar is the mean.
So by using the formula,
Standard deviation = 3.66.
Hence "The sample mean and standard deviation for the given data are 38.11 and 3.66 respectively".
For more information about mean absolute deviation,
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··4 m 1 3
··4 m 2 3
··8 (m 1 1)?
Answer:
what does the m stand for
Step-by-step explanation:
Write the word sentence as an equation. Then solve.
The difference between a number pand 6 is -14
Equation
Solution p=
25
Answer:
p - 6 = -14
p = -8
Step-by-step explanation:
The difference between a number p and 6 is -14
Let the number = p;
Equation:
difference between the numbers:
p - 6
equality;
p - 6 = -14
Equation; p - 6 = -14
Solution:
p - 6 = -14
add (+6) to both sides of the expression;
p - 6 + (+6) = -14 +(+6)
p = -8
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earning were $692. What was the total amount of her sales for the week?
Answer:
The answer is $6216.66
Step-by-step explanation:
(8*40)+6%*×=$692; 320 + 0.6x = 692; .6×=692-320; 0.6x=373; ×=373÷.6;
x=6216.66
Total earnings= $692
Total hours worked = 40 hours
Earnings per hour = $8
Total hourly earnings = Total hours worked × Earnings per hour
= 40 hours × $8
= $320
Commission earnings = Total earnings - Total hourly earnings
= $692 - $320
= $372
Total amount of her sales for the week = x
6% of x = $372
0.06 × x = 372
0.06x = 372
x = 372 / 0.06
x = $6,200
Therefore, her total amount of her sales for the week is $6,200
Read more:
https://brainly.com/question/11481095
Find the distance between the 2 planes to the nearest tenth.
Answer:
In this formula, a, b, c and d are the coefficients of the equation describing one of the planes and x1, y1 and z1 are the coordinates of a point in the other plane. The format for the equation of the plane is ax + by + cz + d = 0. If the planes are not parallel, the distance is zero.
Step-by-step explanation:
Answer:
About 22
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
a rectangular television's length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television?
A. 23
B. 24
C. 25
D. 26
can someone explain bc I got small brain ykyk
Answer: A. 23
23 - Width
23x2 = 46
46+3 = 49
So..
49 - Length
lx2+wx2 = perimeter
49x2 = 98
23x2 = 46
98+46 = 144
The width of the television will be 23 inches. Then the correct option is A.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The length of a rectangular television is 3 inches longer than its width. The display has a 144-inch perimeter. Then the equation is given below.
L = 2W + 3 ...1
144 = 2(L + W) ...2
From equations 1 and 2, then have
144 = 2(2W + 3 + W)
72 = 3W + 3
3W = 69
W = 23 inches
The width of the television will be 23 inches. Then the correct option is A.
More about the perimeter of the rectangle link is given below.
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Choose the stems that would be used to create a stem-and-leaf plot from this data: 28, 32, 38, 30, 31, 13, 36 35, 38, 32, 38, 15, 13, 24
Answer:
Step-by-step explanation:
3
Answer:
The best stems would be: 1, 2, and 3
Step-by-step explanation:
When you are making the stem and leaf plots, you are using the diget in the tens place as the stem
Multi-step Equations
5) 5n + 34 = -2(1 - 7n)
Answer:
4
Step-by-step explanation:
if you do all the steps right you should get 4
On a coordinate plane, a line is drawn between points (negative 4, negative 3) and (negative 1, 4).
Use the Pythagorean theorem to find the distance on the coordinate plane.
a2 + b2 = c2
What is the distance between the two points?
StartRoot 20 EndRoot
StartRoot 40 EndRoot
StartRoot 45 EndRoot
StartRoot 58 EndRoot
Answer:
StartRoot 58 EndRoot
Step-by-step explanation:
Given the coordinates (-4, -3) and (-1, 4)
To get the distance between the two points, we will use the formula:
D =√(y2-y1)²+(x2-x1)²
From the coordinates, x1 = -4, y1 = -3, x2 = -1 and y2 = 4
Substitute
D =√(4-(-3))²+(-1-(-4))²
D = √(4+3)²+(-1+4)²
D = √7²+3²
D = √49+9
D = √58
Hence the correct option is D
StartRoot 58 EndRoot
Answer:
D. 58
Step-by-step explanation:
Help me please.
Write a ratio expressing the slope of the line passing through (5,7) and (-3,-2).
Answer:
9/8
Step-by-step explanation:
change in y/change in x= slope
so in this case -9/-8 or 9/8 bc the negatives cancel out
4 more than one third of a number n is 6. An equation is? The solution is n =?
Answer:
[tex]\frac{1}{3}[/tex]n + 4 = 6
6
Step-by-step explanation:
Given problem:
4 more than one third of a number n is 6
Unknown:
The equation = ?
Solution of the number = ?
Solution:
let the number = n
So, 4 more than one third of a number;
One third of n = [tex]\frac{1}{3}[/tex]n
4 more;
[tex]\frac{1}{3}[/tex]n + 4
is 6;
[tex]\frac{1}{3}[/tex]n + 4 = 6 (equation of the expression)
Let us now solve the equation:
[tex]\frac{1}{3}[/tex]n + 4 = 6
[tex]\frac{1}{3}[/tex]n = 6 - 4
[tex]\frac{1}{3}[/tex]n = 2
n = 6
Find the maximum value of the function f(x) = -x^2 + 3x +2
Answer:
4.25
Step-by-step explanation:
-x^2 + 3x + 2 = 0
Divide by -1
X^2 -3x - 2 = 0
x^2-3x+ =2+2.25
(x-1.25)-4.25
(x-1.5)
Solve the inequality 3(x - 2) + 1 = x + 2(x + 2).
A XS4
B. XX-5
C. no solution
D. all real numbers
Answer:
No solution
Step-by-step explanation:
calculate the sum) 3x-5+x+2(x+2)
distribute 2 through the parentheses) 3x-5=x+2x+4
calculate the like terms) 3x-5=3x+4
calculate equal terms on both sides of the equation) -5 = 4
-5 = 4 meaning that the statement is false!
Ryan and two of his friends contribute $8.33 each, to buy a baseball bat from a sports shop. Find
the price of the baseball bat.
Answer:
24.99
Step-by-step explanation:
PLEASE HELP ASAP A bucket contains 48 fluid ounces of water. How many quarts of water does the bucket contain? Enter your answer as a decimal in the box. BLANK quarts
Answer:
1.5 Quarts
Step-by-step explanation:
A quart contains 32 fluid ounces. So divide 48 by 32. You get 1.5.
So the bucket contains 1.5 Quarts.
what is the value of the expression 12 - k
if k = (-3)
Answer:
15
Step-by-step explanation:
12-k
12- (-3)
12+3
=15
Answer:
15
Step-by-step explanation:
Substitute the variable, "k" into "12-k" from the equation "k=(-3).
12-k
12-(-3)
12+3---> two negatives make a positive
15
Alonso plans to buy a new kayak that costs $2,100. But he needs to pay a 8.5% tax. What is the total cost of the kayak?
Answer:
$ 2,273.25
Step-by-step explanation:
The density of gold is 19.3 grams per cubic centimeter. Rachel determines that the density of a coin is 18.7 grams per cubic centimeter. Based on this evidence, she concludes that the coin is not gold or at least not entirely gold. Is this an example of inductive or deductive reasoning?
Answer:
The reasoning is a deductive.
The reason is because the pattern of thought is logical, here, scientific methods ( i.e mathematically obtaining and comparing the density of the coin and the gold ) are used to support the conclusion.
Step-by-step explanation:
Gnerally the reasoning is a deductive.
The reason is because the pattern of thought is logical and scientific methods (eg mathematical equation (formula for density)) are applied to arrive at the conclusion.
Which of the following sets represents a function?
O [(1, 2), (3, 2), (5, 7))
O [(3,5),(-1,7), (3,9)}
O [(1, 2), (1,4), (1, 6)
Answer:
(1, 2), (1,4), (1, 6)
Step-by-step explanation:
They're adding the Y-axis
Help me please I don’t get it I put false and my teacher said it’s wrong
ur teacher is wrong im in algebra 2 an this is correct
y=1x-3 find the value of y
Answer:
Find the Slope and y-intercept
Use the slope-intercept form
y=mx+b
to find the slope
m and y-intercept
b.
Slope:
1
y-intercept:
(0,3)
Step-by-step explanation:
Which best represents the change in the vertices of rectangle ABCD to form rectangle A'B'C'D'?
F) (x, y ) → (2x, 2y)
G) (x, y ) → (1.5x, 1.5y)
H) (x, y ) → (3x, 3y)
J) (x, y ) → (4x, 4y)
Answer:
F
Step-by-step explanation:
The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbooks published show that 20 %20% are huge successes, 30 %30% are modest successes, 30 %30% break even, and 20 %20% are losers. Before a decision is made, the book will be reviewed. In the past, 99 %99% of the huge successes received favorable reviews, 60 %60% of the moderate successes received favorable reviews, 40 %40% of the break-even books received favorable reviews, and 30 %30% of the losers received favorable reviews. If the textbook receives a favorable review, what is the probability that it will be huge success?
Answer:
[tex]Probability = 0.198[/tex]
Step-by-step explanation:
Given
Publish
[tex]Huge\ Success = 20\%[/tex]
[tex]Modest\ Success = 30\%[/tex]
[tex]Break\ Even = 30\%[/tex]
[tex]Losers = 20\%[/tex]
Favorable Reviews:
[tex]Huge\ Success = 99\%[/tex]
[tex]Modest\ Success = 60\%[/tex]
[tex]Break\ Even = 40\%[/tex]
[tex]Losers = 30\%[/tex]
Required
Determine the probability that a textbook is huge success and favorable
To do this, we simply multiply the probability of a textbook being huge success and being favorably reviewed. as follows;
[tex]Probability = 20\% * 99\%[/tex]
[tex]Probability = 0.198[/tex]
3. Combine terms: 12a + 26b -4b – 16a.
(a) 4a + 22b,
(b) -28a + 30b,
(c) -4a + 22b,
(d) 28a + 30b.
Ok this was the hardest to answer....
Answer:
C
Step-by-step explanation:
Add 12a + -16a
Add 26 + -4b
Please help me I’ll give brainliest
Answer:
x<3
Step-by-step explanation:
Is not a negative so it wont be on the left
What’s 19,975 divided by 25 show your work
the answer to the question is 799
Evaluate the expression when c=5 and d=6.
7c+d.
Answer:
41
Step-by-step explanation:
Step 1:
7c + d Equation
Step 2:
7 ( 5 ) + 6 Input c and d
Step 3:
35 + 6 Multiply
Answer:
41 Add
Hope This Helps :)
Question 3. The diameter M of a medium coffee CUP at a coffee shop follows the Normal distribution with a mean of 2.96 inches and a standard deviation of 0.02 inches. The diameter L of a medium coffee cup LID at the coffee shop follows the Normal distribution with a mean of 3.01 inches and standard deviation of 0.01 inches. Assume that M and L are independent random variables. Let D = L-M be the difference between the lid's diameter.
What is the mean of D? Use 2 places after the decimal.
What is the standard deviation of D? Use 4 places after the decimal.
For a lid to fit on the cup, the difference, D, needs to be less than .08 inches. Find the probability that a randomly select lid will fit on the medium coffee cup. Use 3 places after the decimal.
Answer:
The diameter M of a medium coffee CUP at a coffee shop follows the Normal distribution with a mean of 2.96 inches and a standard ... Assume that M and L are independent random variables. ... Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes.
you either add all of the math numbers together or you either multiply all of the math numbers together cuz
Step-by-step explanation:
4.32(3.7+1.65)= ??????
Answer:
9.67
Step-by-step explanation:
plz answer the top one #13 (its not D)
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
boiling point is not related to the amount present