Solve for x: 6(2x - 4) = 7(21 - 8)
Answer:
[tex]9 \frac{7}{12} [/tex]
Step-by-step explanation:
Expand:
[tex]6(2x) + 6( - 4) = 7(13) \\ 12x - 24 = 91[/tex]
+24 on both sides:
[tex]12x = 91 + 24[/tex]
Simplify:
[tex]12x = 115[/tex]
÷12 on both sides:
[tex]x = 115 \div 12 \\ x = 9 \frac{7}{12} [/tex]
Answer:
x = 9.583 or 115/12
Step-by-step explanation:
Hope this helps!!
A set of 200 scores is normally distributed with a mean of 60 and . a standard deviation of 12. a, What are the z-scores corresponding to the. raw scores .of 76, 38; and 50
Answer:
Z scores for:
a) 76 = 1.33333
b) 38 = -1.83333
c) 50 = -0.83333
Step-by-step explanation:
Z score formula is:
z = (x-μ)/σ where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Mean = 60
Standard deviation = 12.
a) 76
z = (x-μ)/σ
z = 76 - 60/12
z score = 1.33333
b) 38
z = (x-μ)/σ
z = 38 - 60/12
z score = -1.83333
c) 50
z = (x-μ)/σ
z = 50 - 60/12
z score = -0.83333
Given m∠3+m∠8=180° . PLEASE I NEED HELP
Which lines are parallel, if any must be parallel, based on the given information?
A) - Not enough information to make a conclusion.
B) - c∥d by the converse of the same-side interior angles theorem.
C) - a∥b by the converse of the corresponding angles theorem.
D) - c∥d by the converse of the alternate interior angles theorem.
I think the answer is C
c∥d by the converse of the same-side interior angles theorem.
What is same-side interior angles theorem.?If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.
Given:
m∠3+m∠8=180°
As, we can see that <3 and <8 are lies on same side of transversal.
So, the line that are parallel are c and d converse of the same-side interior angles theorem.
Hence, c∥ d by the converse of the same-side interior angles theorem.
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help a girl out plz
Answer:
-1 0 1 2 2 1/4 2.33 2.5 √8 3 | | . | | ^ ^ . ^ ^ . |
Step-by-step explanation: All the values are between 2 and 3
I hope this shows up correctly and helps.
6. Which of the following is true about the
graph of the equation y = -5x + 10?
A. The graph would increase from left to right.
B. The graph would pass through the origin.
C. The graph would have a positive y-intercept.
Answer:
C
Step-by-step explanation:
The graph would have a positive y-intercept
The y-intercept is when x = 0
To find the y-intercept, plug in 0 for x
y = -5(0) + 10
y = 0 + 10
y = 10
10 is a positive number
Y-intercept is positive
simplify 8x+7-2x-4 completley
Answer:
8x + 7 - 2x - 4
8x + (-2x) = 6x
7 + -4 = 3
Final Answer= 6x + 3
You buy milk that contains 180 calories per 2 cups. Use a ratio table to find the number of calories in 18 cups.
Answer:
1620
Step-by-step explanation:
180/2=90
90*18=1620
You buy milk with 180 calories in two glasses. Now compute the caloric value of 18 cups. 18 cups contain 1620 calories.
What is meant by caloric value?Calorific value, also known as heating value or heat of combustion, is a unit of measurement for the total energy content produced in the form of heat when a substance is completely combusted with air or oxygen. The amount of heat energy released during complete combustion of a unit mass of a fuel is defined as its calorific value. It is measured in kJ/kg.It is the measurement of the heat value or amount of energy released, and it is expressed in either gcv or ncv. Gross calorific value (GCV), also known as Higher Heating Value (HCV), is the amount of heat released by complete combustion when a unit of fuel is burned.Therefore,
You buy milk with 180 calories in two glasses.
Now compute the caloric value of 18 cups.
Let 18 cups have a calorie count of As, and 2 cups have 180 calories.
A serving of two cups contains 180 calories.
As a result, the ratio would be 2: 180.
As a result, 18 cups contain X calories.
18 cups are equal to X calories.
Consequently, the ratio would be X : 18
We now set a ratio to determine how many calories are in 18 cups:
2 : 180 :: 18 : X
Simplifying,
2/ 180 = 18/X
Cross multiplying results in:
2X = 18 × 1 80
= 3240
By multiplying both sides by 2, we obtain:
X = 3240/2
= 1620
Hence, 18 cups have 1620 calories in them.
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How do you solve 5x + 7 = 2x + 1
Answer:
x = -2
Step-by-step explanation:
5x + 7 = 2x + 1
subtract both sides by 2x
3x + 7 = 1
subtract both side by 7
3x = -6
divide both sides by 3
x = -2
solve: m/4= −13
make sure to show your work
Answer:
m=-52
Step-by-step explanation:
1) multiply both sides by 4
m=-13×4=-52
Five times the sum of a number and eight is thirty. Find the number.
Answer:
x = -2
Step-by-step explanation:
Let x be the number:
5(x + 8) = 30Apply the distributed property, so it now looks like this: 5x + 40 = 30Subtract 40 from each side, so it now looks like this: 5x = -10Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x = -2I hope this helps!
It took Jed 2/4 of an hour to complete his math homework on Friday, 2/3 of an hour on Saturday, and 3/6 of an hour on Sunday.How many hours did he take to complete his homework altogether?
It took Jed a total of 1 2/3 hours to complete his homework altogether
ent
Use the interactive to find an expression equivalent to
4x - 4 - 2x + 3.
O 2x - 1
O 6x - 1
O 2x - 7
O-2x + 3
Please hurry help
Answer:
it's A
Step-by-step explanation:
2x - 1
I put b and got it wrong
What is the area of this figure?
14 cm
10 cm
12 cm
1
cm
3 cm
1 cm
OA. 46 sq cm
OB. 44 sq cm
OC. 62 sq cm
OD 38 sq cm
A restaurant owner mixed the juices of 7 lemons with every 3 oranges to make a special drink
Which ratio of lemons to oranges will make the same drink?
a:28:15
b:42:21
c:21:9
d:15:35
Answer:
C, 21:19
Step-by-step explanation:
This is because we know that 21 divided by 7 is 3, so we would have to make sure that we are multiplying 7:3 by 3, which we are because 7 times 3 = 21 and 3 times 3 = 9.
Tom had 48 coins and 8 friends. How many coins due each friend get?
Answer:
They will each get 6 a piece
There are three companies that produce a critical electronic navigation component (ENC) used in the aerospace industry. These companies are Alice Manufacturing, Byte International, and Cognizant Technologies. Alice makes 85% of the ENCs, Byte makes 10%, and Cognizant makes the remaining 5%. The ENCs made by Alice have a 2.5% rate of defects, the ones made by Byte have a 4.0% rate of defects, and the ones made by Cognizant have a 6% rate of defects. If an ENC is randomly selected from the general population of ENCs, the probability that it was made by Alice is _______. If this ENC is later tested and found to be defective, the probability that it was made by Alice is _______.
Answer:
a
[tex]P(A) = 0.85[/tex]
b
[tex]P(A | D) = 0.7522 [/tex]
Step-by-step explanation:
From the question we are told that
The percentage of ENC made by Alice is P(A) 85% = 0.85
The percentage of ENC made by Byte P(B) 10%=0.10
The percentage of ENC made by Cognizant P(C) = 5%= 0.05
The percentage rate of defect of ENC made by Alice is p = 2.5 % = 0.025
The percentage rate of defect of ENC made by Byte is q = 4.0% = 0.04
The percentage rate of defect of ENC made by Cognizant r = 6% =0.06
Generally the probability that a randomly selected ENC will be made by Alice is
[tex]P(A) = 0.85[/tex]
Generally the probability that a randomly selected ENC that was found to be defective will be made by Alice is
[tex]P(A | D) = \frac{P(A) * p}{P(D)}[/tex]
Here
[tex]P(D)[/tex] is the probability that a randomly selected ENC will be defective and this is mathematically represented as
[tex]P(D) = P(A) * p + P(B) * q + P(C) * r[/tex]
=> [tex]P(D) = 085 * 0.025 + 0.10 * 0.040 + 0.05 * 0.06[/tex]
=> [tex]P(D) = 0.02825 [/tex]
So
[tex]P(A | D) = \frac{ 0.85 * 0.025 }{0.02825}[/tex]
=> [tex]P(A | D) = 0.7522 [/tex]
Can someone help me answer this
Monday 4hours and 30minutes were worked
do 12-8 then take the thirty minutes and add it on to the difference
because that is the time she is working
happy to help plz mark brainliest
if the standard deviation of the values in a sample is 14 what is the variance of the data values
Answer:
196
Step-by-step explanation:
THATSSS THE ANSWERRRRR!!
i have to solve this −2×8/3=
Answer:
-2 times 8\3
Step-by-step explanation:
the answer is -48
Answer: -5 1/3
Step-by-step explanation: First, convert -2 into a fraction by putting a 1 under the -2. So, you should have -2/1. Since, you‘re multiplying a negative times a positive, you’re answer should be negative. Next, multiply -2/1 x 8/3 by cross multiplying. You should end up with an answer of -5 1/3.
I need help plzzzzzz
Answer:
...................................
Step-by-step explanation:...................................
Which of the following expressions are equivalent to 12x+20? Select all that apply.
A.-2(6x - 10)
B.4(3x+ 20)
C.4(3x + 5)
D.12(x+1 2/3)
E.-2(10 – 6x)
Answer:
C
Step-by-step explanation:
4(3x+5) = 12x+20
Answer:
c
Step-by-step explanation:
You and your soccer team are interested in buying jerseys. The price of each jersey is $50. If you buy 4 jerseys, you will get 10% discount. How much do you have to pay if you buy 8 jerseys?
Answer: $4.84
Explanation:
County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$75 * 0.0725 = $5.4375
Add the original price and the sales tax.
$75 + $5.4375 = $80.4375
County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$70 * 0.08 = $5.6
Add the original price and the sales tax.
$70 + $5.6 = $75.6
Then take the difference.
80.4375 – 75.6 = 4.8375
Round to the nearest hundredth: $4.84
A square red rug has a yellow square in the center. The side length of the yellow square is x inches. The width of the red band that surrounds the yellow square is 12 in. What is the area of the red band?
A sample of 87 glass sheets are measured for thickness. They have a sample mean of 4.20 mm and a sample standard deviation of 0.10 mm. What is the level of the confidence interval (4.185, 4.215)?
Answer:
83.85%
Step-by-step explanation:
The formula for confidence interval
= Mean ±( z × Standard deviation/√n)
Confidence Interval = Mean ± Margin of Error
Mean = 4.20mm
n = 87
Standard deviation = 0.10mm
z = ????
Hence:
Confidence Interval = Mean ± Margin of Error
Step 1
We find the Margin of Error
(4.185, 4.215) = 4.20 ± Margin of Error
4.20 - 4.185 = 0.015
4.215 - 4.20 = 0.015
Hence, Margin of Error = ± 0.015
Step 2
We find the z score
Margin of Error = z × Standard deviation/√n
±0.015 = z × 0.10/√87
± 0.015 = 0.0107211253z
z = ±0.015/0.0107211253
z = 1.39910686428
z score ≈ 1.4
Step 3
We find the confidence interval that corresponds to 1.4
Using the z table to find the Probability
P(z = 1.4) = 83.85%
Therefore, the level of the confidence interval (4.185, 4.215) is 83.85%
Answer:
[4.1mm to 4.3mm]
Step-by-step explanation:
Sample size = 87 glass sheets
Sample mean = 4.2mm
Sample standard deviation = 0.1mm
Confidence interval or level = the range from lower limit of sample mean to upper limit of sample mean
[4.2 - 0.1] to [4.2 + 0.1] = [4.1mm to 4.3mm]
The signed-rank test can be adapted for use in testing H0: μ = hypothesized value, where μ is the mean of a single population (see the last part of this section). Suppose that the time required to process a request at a bank’s automated teller machine is recorded for each of 10 randomly selected transactions, resulting in the following times (in minutes); 1.4, 2.1, 1.9, 1.7, 2.4, 2.9, 1.8, 1.9, 2.6, 2.2. Use the one-sample version of the signed-rank test and a .05 significance level to decide if the data indicate that the mean processing time exceeds 2 minutes.
Answer:
There is not enough evidence suggesting that the mean processing time exceeds 2 minutes.
Step-by-step explanation:
The hypothesis can be defined as follows:
H₀: The mean processing time is 2 minutes, i.e. μ = 2.
Hₐ: The mean processing time exceeds 2 minutes, i.e. μ > 2.
The significance level of the test is, α = 0.05.
Recorded Time (x) (x - μ) + Ranks -Ranks
1.4 -0.6 8
2.1 0.1 1
1.9 -0.1 1
1.7 -0.3 6
2.4 0.4 7
2.9 0.9 10
1.8 -0.2 4
1.9 -0.1 1
2.6 0.6 8
2.2 0.2 4
TOTAL 30 20
Sum of +Ranks = 30
Sum of -Ranks = 20
Test statistic = Min (∑+Ranks, ∑-Ranks)
= Min (30, 20)
= 20
Compute the critical value using the Wilcoxon Signed-rank test table.
Critical value = 11
As the test statistic value is more than the critical value, the null hypothesis was failed to be rejected.
Thus, there is not enough evidence suggesting that the mean processing time exceeds 2 minutes.
6th grade math I mark as brainliest
I need help, please
Answer:
2
Step-by-step explanation:
1+1=2
Write an equation that gives the amount of snow that has fallen after x hours at this rate. (Use the form y=kx)
PLZ HELPPPP
Answer:
Y=2x
Step-by-step explanation:
The complete table is given as follows -
Time (in hours) Snow (in inches)
0 1
1 2
2 4
6.5 13
[x] [2x]
The equation that shows the amount of snow that has fallen after [x] hours can be written as y = 2x
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is that snow Is falling steadily such that after 2 hours, 4 inches of snow has fallen.
In 2 hours → 4 inches of snow has fallen.
Then, in 1 hour → (4/2) → 2 inches of snow has fallen.
So, in 6.5 hours → 2 x 6.5 → 13 inches
Hence, in x hours → 2x inches
The complete table is shown below
Time (in hours) Snow (in inches)
0 1
1 2
2 4
6.5 13
x 2x
The equation that shows the amount of snow that has fallen after [x] hours can be written as -
y = 2x
Therefore, the complete table is given as follows -
Time (in hours) Snow (in inches)
0 1
1 2
2 4
6.5 13
[x] [2x]
The equation that shows the amount of snow that has fallen after [x] hours can be written as y = 2x
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[Refer to image for complete question]
James paid $42 for 6 lb of chocolate how much does the chocolate cost per pound
Answer:
7$ gimme brainliest
Step-by-step explanation:
Answer: 7 pounds
Step-by-step explanation:
42/6=7
Nico wanted to determine the number of students in his school who buy school lunch.he walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own.which method did he use to collect his data
Answer:
Observational study
Step-by-step explanation:
Answer:
D: Observational Study
Step-by-step explanation:
edg2020
He did not go around asking people how many of them buy lunch, so it is not a survey. He did not create the settings and conditions or simulate possible examples, so its not B. He did not control or change any variables, so it is not an experiment. He simply walked around and Observed people to get information for his study. Thus it is D.