Colin Davis machine company maintains a general ledger
Step-by-step explanation:
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One sample has a mean of M=7.2 and a second sample has a mean of M=12.8. The two sample are combined into a single set of scores. a. What is the mean for the combined set if both the samples have n=5? b. What is the mean for the combined set if the first sample has n=5 and the second sample had n=35?
Answer:
a. M = 50
b. M = 242
Step-by-step explanation:
mean = [tex]\frac{sum of scores}{number of samples}[/tex]
⇒ sum of scores = mean x number of samples
Let the mean be represented by M, and the number of samples be represented by n,
sum of scores = M x n
a. When n = 5 for both samples,
The first sample's sum of scores = M x n
= 7.2 x 5
= 36
The second sample's sum of scores = M x n
= 12.8 x 5
= 64
The mean for the sum of scores of the combined set = [tex]\frac{36 + 64}{2}[/tex]
= 50
When both samples have n = 5, the mean of the combined set is 50.
b. When the first sample has n = 5, the sum of scores = 36.
If n = 35 for the second sample, the sum of scores = M x n
= 12.8 x 35
= 448
The mean for the sum of scores of the combined set = [tex]\frac{36 + 448}{2}[/tex]
= 242
(7x+40)+(6x+43)=180 x? Z?
[tex](7x + 40) + (6x + 43) = 180\\7x + 40 + 6x + 43 = 180\\7x + 6x = 180 - 40 - 43\\13x = 97\\x = \frac{97}{13}[/tex]
I'm not sure what you mean by Z but x is [tex]\frac{97}{13}[/tex]
Find the area of the figure.
9 yd
6,4 yd
Answer:
144 should be your answer
Step-by-step explanation:
Need helppppppp!!!!Solve the absolute value equation: |3x - 6| = 12
Answer:
3x-6=12
3x-6=-12
x=6
x= -2
1st x = -2
2nd x = 6
Step-by-step explanation:
When using 3 letters to make an angle the middle letter is
The double number line shows that
4
44 pounds of almonds cost
$
34
$34dollar sign, 34.
Answer:
round them up
Step-by-step explanation:
y2-8+7
2x - y >4
Yes
No
As a child gets older, will they be able to solve a puzzle faster? What is the dependent variable?
Answer:
the dependant variable is the time
Cost of wood is $9.50. How much would it cost Matt to buy 2 1/2 metres?
Answer:
23.75
Step-by-step explanation:
how this helped bye I would appreciated if u liked my comment tho
The cost of 2 1/2 meters of wood is $23.75
How to determine the cost of 2 1/2 meters?The given parameters are:
Unit rate = $9.50 per minutesNumber of meters = 2 1/2 metersThe total cost is then calculated as:
Total = 9.50 * 2 1/2
Evaluate the product
Total = 23.75
Hence, the cost of 2 1/2 meters of wood is $23.75
Read more about rates at:
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Seven oxide thickness measurements of wafers are studied to assess quality in a semiconductor manufacturing process. The data (in angstroms) are: 1264, 1288, 1272, 1304, 1280, 1301, and 1270. Calculate (a) the sample average and (b) sample standard deviation. Round both answers to 1 decimal places.
Answer:
a. Mean = 1,282.7 Angstroms
b. Standard deviation = 15.5
Step-by-step explanation:
a. Firstly, we are told to calculate the sample average. This is same as the mean;
Mathematically that would be;
The value of the sum of terms/ The number of terms.
= (1264 + 1288 + 1272 + 1304 + 1280 + 1301 + 1270)/7 = 8979/7 = 1282.7
b. Standard deviation
Mathematically, this is the square root of variance
= √{(x - mean)^2/N-1}
Please check attachment for the breakdown of this
What does ¼ x (5.6) equal to
Answer:
The answer is 1.4 because you have to simplify it. Hope this helps :)
Step-by-step explanation:
There are 15 different pieces of cheese on the plate. Is it possible by dividing only one piece to divide all into two groups with equal weight and equal amount of pieces in each?
Answer:
It is possible.
Step-by-step explanation:
Each piece of cheese can be divided into two equal pieces.
Therefore, the 15 different pieces can produce 30 (15 * 2) equal pieces.
Then there will be 15 pieces in each group.
Provided during the division, it is ensured that equal weights were allocated to each piece, then each group will have the same weight as the other group.
Note that the division of the 15 pieces of cheese into two equal parts looks like the only way to have equal weight of two groups of the delicacy.
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Solve for t.
-3t + 3 – 7t = -90 – 7
Answer:
t = 10Step-by-step explanation:
-3t + 3 - 7t = -90 - 7
Simplify both sides of the equation
That's
- 10t + 3 = - 97
Using the subtraction property subtract 3 from both sides of the equation
We have
- 10t + 3 - 3 = -97 - 3
- 10t = - 100
Divide both sides by - 10
[tex] \frac{ - 10t}{ - 10} = \frac{ - 100}{ - 10} [/tex]
We have the final answer as
t = 10Hope this helps you
Answer:
Step-by-step explanation:
-3t + 3 - 7t = -90 - 7
-10t + 3 = -97
-10t = -100
t = 10
Write the expression: Five times the opposite of a number *
Answer:
5(-x)
Step-by-step explanation:
What is 33/8 in a mixed number
Answer: 4 1/8
Step-by-step explanation: To change an improper fraction to a mixed number, you need to first divide the numerator by the denominator as the fraction sign is essentially just a division sign. In this case, you do 33 divided by 8, which would get you 4 with a remainder of 1. 33/8 is just equal to 4 and 1/8.
33/8 is equal to 4 [tex]\frac{1}{8}[/tex] in terms of mixed fraction.
What are Fractions?Fractions are numbers of the form [tex]\frac{p}{q}[/tex] where both p and q are real numbers. It can also be defined as a portion of a whole.
p is called the numerator and q is called the denominator.
There are different types of factors such as unit fractions, like fractions, unlike fractions, improper fractions, proper fractions, mixed fractions and so on.
Mixed fractions are fractions of the form q [tex]\frac{r}{d}[/tex] where q is the quotient, r is the remainder and d is the divisor upon dividing the numerator with the denominator of an improper fraction.
33/8 can be expressed in the mixed form by dividing 33 with 8.
We get quotient is 4 and remainder is 1.
So 33/8 = 4 [tex]\frac{1}{8}[/tex]
Hence 33/8 can be written as 4 [tex]\frac{1}{8}[/tex] in terms of mixed fraction.
To learn more on Fractions, click on the link given below:
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-2X=-42
What do I do to this problem
2. Construct the perpendicular bisector of CD. Label the intersection of CD and the perpendicular
bisector point M. (5 points)
From c to d line
I need help fast
Answer:
Step-by-step explanation:
A bisector is a line that divides an angle or a line into equal halves. In the case of a given line, the bisector will always be perpendicular to it.
To bisect CD, draw CD to the required length.
Open the compass to a radius greater than the the middle of CD.
With C as the center and the radius, describe an arc above and below CD. Repeat the same using D as the center.
Join the point of intersection of the two arcs by a line.
Label the point where the bisector passes through CD as M.
The construction would be as what is attached to this answer.
Find a perimeter of the bouncy castle find the area of the bouncy castle 2X squared minus 3X +7 times X squared +4
Answer:
The answer is below
Step-by-step explanation:
From the image attached, the length of the bouncy castle is X² +4 and the width is 2x² - 3x +7
The bouncy castle is a rectangle. A rectangle is a quadrilateral in which opposite sides are equal and all the angles have equal measures. The diagonals of a rectangle also bisect each other. The perimeter of a rectangle = 2(length + breadth), Hence for the bouncy castle:
Perimeter of castle = 2(length + breadth) = 2(x² + 4 + (2x² - 3x +7)) = 2(3x² - 3x + 11) = 6x² - 6x + 22
Perimeter of castle = 6x² - 6x + 22
The area of the castle = length × breadth = x² + 4 × (2x² - 3x +7)) = 2x⁴ - 3x³ + 7x² + 8x² - 12x + 28 = 2x⁴ - 3x³ + 15x² - 12x + 28
Practice isolating the variable to solve equations with
variables on both sides.
Assignment
Consider the equation 9 - 4x = 2x.
Which equation resulted from adding 4x to both sides to isolate the variable term?
O9-2x = 4x
O 9 = -2x
O 9 =6x
O 4x=2x-9
Answer:
9 =6x
Step-by-step explanation:
We know this is the answer because the -4x was cancelled out left to the equal sign, and 2x has now become 6x after adding 4x.
Answer:
9/6 or 1.5
Step-by-step explanation:
both are right
if 49+ b2= 169, what is b2?
Where in real life do you work with radical expressions and functions? Give an example of your own.
Answer the question in the file
Answer:
30
Step-by-step explanation:
50-2×(3^2+1)
50-2×(9+1)
50-2×(10)
50-20
30
Hey there!
ANSWER: [tex]30[/tex]EXPLANATION:[tex]50-2*(3^2+1)=?[/tex]
You will need to use the order of operations to solve. We will need to start with parenthesis. The parenthesis includes exponents which comes after.
[tex](3^2+1)=10[/tex]
Now go to multiplication.
[tex]2*10=20[/tex]
Now move to subtraction since that's what we have left.
[tex]50-20=30\\30(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Question 3
1 pts
Which number could be used as a counterexample to show that the conjecture
"All multiples of 3 are odd" is false?
12
027
O 33
O 15
The correct answer is A. 12
Explanation:
In mathematics, odd numbers are those numbers that cannot be divided into 2 without using a decimal number, for example, 13 ÷ 2 = 2.5 (decimal number). This does not occur with even numbers such as 26 because these can be divided into 2 and the result is an integer rather than a decimal (26 ÷ 2 =13).
On the other hand, a counterexample is a situation that shows an exception to the rule. In the rule "All multiples of 3 are odd", one counterexample is the number 12 because this is an even number (12 ÷2 = 6). Moreover, this number is a multiply of 3 as 3 can be multiplied by 4 to obtain 12, which shows multiplies of 3 can be even numbers.
Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set, and what did he score on the exam?
Answer:
d. Mateo scored as well as or better than 55% of his classmates, with a score of 82.Step-by-step explanation:
Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set and what did he score on the exam?{35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99)
a. Mateo scored a 55% on his exam. b. Mateo scored as well as or better than 55% of his classmates, with a score of 78. c. Mateo scored worse than 55% of his classmates, with a score of 78. d. Mateo scored as well as or better than 55% of his classmates, with a score of 82. e. Mateo scored worse than 55% of his classmates, with a score of 82. SolutionThere are scores of 20 students. Each score is equivalent of 100%/20 = 5%
The easy way to understand Mateo' s place is to compare scores against 5% slots.
See attached.
We can also get the average score
Sum
∑ {35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99) = 1556Average or mean score:
1556/20 = 77.8This is matching the 50% score.
As we see Mateo scored 82 which is matching 55%.
Correct option is d.
Find the percent change. State whether it is an increase or decrease. Round to the nearest tenth of a percent. From 50 to 42
Answer:
16% decrease
Step-by-step explanation:
The sum of three numbers is 82 The second number is 3 times the third. The third number is 8 more than the first. What are the numbers?
Answer:
22 46 15
Step-by-step explanation:
i looked it up because i was even confused. but i think this is right. hope this helps.
Which shows only a vertical translation from the shaded figure onto the unshaded figure?
On a coordinate plane, a triangle is shifted up.
On a coordinate plane, a triangle is shifted to the left.
On a coordinate plane, a triangle is enlarged to form another triangle.
On a coordinate plane, a triangle is shifted up and to the left.
Answer:A
Step-by-step explanation:
Answer: Answer is A
Step-by-step explanation: i got it right on edge 2023 <33
Find the midpoint of the line segment with the given endpoints (-4,4) (5,-1)
Answer:
(1/2), (3/2)
Step-by-step explanation:
midpoint fomula
(x1+x2)/ 2, (y1+y2)/2
(5-4)= 1 1/2 = (1/2)
(-1+4)=3 3/2=(3/2)
A : (x₁ , y₁) = (-4 , 4)
B : (x₂ , y₂) = (5 , -1)
Formula of [tex]\tt{midpoint}[/tex] is given by
◈ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2
_________________________________
⇒ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2
⇒ (x , y) = [5+(-4)]/2 , [-1+4]/2
⇒ (x , y) = 1/2 , 3/2
⇒ (x , y) = (0.5 , 1.5)