Answer:
x=−6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x−7-2/3(9x−6)=15
3x+−7+−6x+4=15(Distribute)
(3x+−6x)+(−7+4)=15(Combine Like Terms)
−3x+−3=15
−3x−3=15
Step 2: Add 3 to both sides.
−3x−3+3=15+3
−3x=18
Step 3: Divide both sides by -3.
−3x/−3=18/−3
x=−6
A random sample of 100,000 credit sales in a department store showed an average sale of $82.25. From past data, it is known that the standard deviation of the population is $30.00. The margin of error is 0.186.
Required:
a. What is the 95% confidence interval of the population mean?
b. With a 0.95 probability, determine the sampling error?
c. Determine the standard error of the mean.
Answer:
Step-by-step explanation:
Given that:
Sample Mean [tex]\overline x[/tex] = 82.25
The Standard deviation of the population [tex]\sigma[/tex] = 30.00
The Sample size = 100,000
The margin of error M.O.E = 0.186
At a 95% confidence interval level;
[tex]=\overline x - M.O.E < \mu < \overline x + M.O.E[/tex]
= 82.25 - 0.186 < [tex]\mu[/tex] < 82.25 + 0.186
= 82.064 < [tex]\mu[/tex] < 82.436
= (82.064 , 82.436)
The 95% confidence interval of the population mean = (82.064 , 82.436)
Before we can determine the sampling error, we need to find the standard error of the mean.
The standard error of the mean is:
[tex]\mu_ {\bar x} = \mu = 82.25[/tex]
[tex]\sigma_{\bar x} = \dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]\sigma_{\bar x} = \dfrac{30}{\sqrt{100000}}[/tex]
[tex]\sigma_{\bar x} = \dfrac{30}{316.23}[/tex]
[tex]\sigma_{\bar x} = 0.096[/tex]
At 95% confidence interval, the level of significance = 1 - 0.95 = 0.05
[tex]Z_{0.05/2} = Z_{0.025}[/tex] = 1.96
Now, the sampling error can be determined by using the formula:
[tex]=Z_{\alpha/2} \times \sigma _{\overline x}[/tex]
[tex]=Z_{0.025} \times \sigma _{\overline x}[/tex]
= 1.96 × 0.096
= 0.18816
Meg measured the length of some pieces of wire.?What is the difference in lenght between the longest and shortest piece of wire?
Simplify the expression below as much as possible.
(8 + 9i) + (5 - 91) - (8 - 7i)
Answer:
B. 5 + 7i
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsAlgebra II
Complex Standard Form: a + biImaginary NumbersStep-by-step explanation:
Step 1: Define expression
(8 + 9i) + (5 - 9i) - (8 - 7i)
Step 2: Simplify
Distribute negative: 8 + 9i + 5 - 9i - 8 + 7iCombine like terms: 5 + 7iwhat is the inverse of
Answer:
[tex]A^{-1} = \frac{1}{66} \left[\begin{array}{cc}-2&-5\\6&-18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{cc}-18&5\\-6&-2\end{array}\right][/tex]
Required
Determine the inverse
A matric is of the form:
[tex]A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]
First, we need to calculate the determinant (D)
[tex]D = a * d - b * c[/tex]
By comparison, we have:
[tex]D = (-18 * -2) - (5 * -6)[/tex]
[tex]D = (36) - (-30)[/tex]
[tex]D = 36 +30[/tex]
[tex]D = 66[/tex]
The inverse is then represented as:
[tex]A^{-1} = \frac{1}{D} \left[\begin{array}{cc}d&-b\\-c&a\end{array}\right][/tex]
This gives:
[tex]A^{-1} = \frac{1}{66} \left[\begin{array}{cc}-2&-5\\6&-18\end{array}\right][/tex]
What is the SEC?
a. The largest stock exchange in North America
b. The margin of profit you gain from stock
C. The government agency which oversees the trading of stock
d. The total worth of your stock portfolio
Answer:
C.
Step-by-step explanation:
Mr. Jensen bought 2 2/3 gallons of gasoline yesterday. Today he brought 3 1/2 more gallons. How many total gallons of gasoline has he bought?
A. 5 3/5 gallons
B. 5 3/6 gallons
C. 6 1/6 gallons
D. 5 1/6 gallons
Answer:
The correct answer is C. 6 1/6 gallons.
Step-by-step explanation:
Hope that helps you and please give me brianliest!! I only need one more brainliest to rank as an Expert...
Answer:
c
Step-by-step explanation:
2 2
3
+
3 1
2
= (2 + 3) + (
2
3
+
1
2
)
= 5 +
2 × 2
3 × 2
+
1 × 3
2 × 3
= 5 +
4
6
+
3
6
= 5 +
4 + 3
6
= 5 +
7
6
= 5 +
1 1
6
=
6 1
6
Please do question 5 im giving out brainlyist or something like that :)
I would say none
because each one equals to 24 students, when it says there are 24 students in each are class. so you would need to do 24 * 5 to get the amount of students.
Answer:
The second answer choice
Step-by-step explanation:
if you divided the total amount of people in all of the art classes by 5 you would get 24. Or you could think of it as multiplying by 5 on both sides which would give you "s" because it cancels out on the left side.
In which pair do both decimals represent rational numbers?
O A. 2.71828182845904523536... and 0.1222
O B. 3.141592653589793238... and 0.684
O C. 3.141592653589793238... and 0.1222...
O D. 0.684 and 0.1222...
Answer:
B.) 0.684 and 0.122
Step-by-step explanation:
A number that cannot be expressed as a ratio between two integers and is not an imaginary number. If written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, without repetition. Pi and the square root of 2 (√2) are irrational numbers.
pi = 3.14159265359.....
e = 2.71828182845.....
Both are irrational
PLEASE HELP IT IS 3:30 AM
FIND THE EQUATION OF THE LINE
USE EXACT NUMBERS
y= ( )x + ( )
Answer:
The answer is y = -1/3x + 5 !
Step-by-step explanation:
If you observe the line, the y-intercept is 5, from the point in the graph (0,5). From that point, we can see that the rise over run is -1/3. Thus, y = -1/3x + 5.
In a survey of 468 registered voters, 152 of them wished to see Mayor Waffleskate lose her next election. The Waffleskate campaign claims that no more than 32% of registered voters wish to see her defeated. Does the 95% confidence interval for the proportion support this claim?
a. The reasonableness of the claim cannot be determined.
b. Yes
c. No
Answer: b. Yes
Step-by-step explanation: Confidence Interval for a population proportion is calculated as:
p ± [tex]z\sqrt{\frac{p(1-p)}{n} }[/tex]
where
p is the sample proportion
n is sample size
z is z-score, in this case, as it is 95%, z-score=1.96
Calculating confidence interval:
[tex]p=\frac{152}{468}[/tex]
p = 0.3248
0.3248 ± [tex]1.96\sqrt{\frac{0.3248(0.6752)}{468} }[/tex]
0.3248 ± [tex]1.96\sqrt{0.000468}[/tex]
0.3248 ± 0.0425
Interval: 0.2823 < μ < 0.3673
The interval means we are 95% sure the true mean is between 0.2823 and 0.3673. As the campaign claims a proportion of no more than 0.32 of the voters wants to see Mayor Waffleskate defeated and the number is in the confidence interval, the claim is supported.
2 1/2 + 3
As a fraction or a mixed number in simplest form. please Thankss ;p
2 1/2 +3
pretend that there is a denominator for 3 which is 1
2 1/2 +3/1
find the common denominator for 3/1 which is 2
multiply by 2 for 3/1
3(2)/1(2)=6/2
2 1/2 +6/2
make 2 1/2 into a fraction
multiply 2*2 first
2*2=4
add 4 with the numerator
4+1=5
2 1/2=5/2
5/2+6/2
=11/2
= 5 1/2
answer: 11/2 or 5 1/2
3*square root of 7 /5*square root of 7
Answer:
[tex]\frac{3}{5}[/tex] (Decimal: 0.6)
Step-by-step explanation:
[tex]\frac{3\sqrt{7} }{5\sqrt{7} }[/tex]
Cancel the common factor: √7
= [tex]\frac{3}{5}[/tex]
If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.3 minutes and a standard deviation of 1 minute, find the point in the distribution in which greater than 75.8% of the college students in trying to find a parking spot in the library parking lot.
A. 2.6 minutes
B.2.8 minutes
C.3.2 minutes
D.4.2 minutes
Answer:
i believe its c
Step-by-step explanation:
if Sally has 10 apples and eats 2 how many does she have left
Answer:
8
Step-by-step explanation:
10 - 2 = 8
But then again it could be 10 because technically she still has the other two, it's just that they're in her stomach :)
If XYZ is equilateral and WXY is isosceles, what is the measure of ∠WZY?
Which of the following inequalities matches the graph?
x < 2
y > 2
y < 2
x > 2
Answer:
Step-by-step explanation:
y=2x+2
write in standard form: (5×100)+(6×1)+(5×1/10)+(9×1/1000)
Answer:
9,556
Step-by-step explanation:
Use the inequality below to answer the question. 0.08 g + 0.2 < 5 Which set of values contain possible solutions for g?
Answer: g<22.5
Step-by-step explanation:
Isolate the variable by dividing each side by the factor that don’t contain the variable.
Need ASAP pls pls can you show your work
The fifth-grade students in Miguel’s school formed 3 teams to raise money for the Penny Harvest fundraiser. Team A raised $65.45. Team B raised 3 times as much as Team A. Team C raised $20.15 more than Team B. How much money did Team C raise?
HELP Calc Multiple Choice 25 POINTS
Answer:
C
Step-by-step explanation:
[tex]f'(x)=g(x) * (x^2-4)\\0=g(x)*(x^2-4)\\x={-2,2}\\f(-4) = -\\f(-2) = 0 \\f(0) = +\\f(2) = 0 \\f(4)= -\\\\[/tex]
It decreases from negative infinity to -2, then increases, so x=-2 is a rel. min.
It increases from x=-2 to x=2, then decreases to infinity, so x=2 is a rel. max.
An orange punch is 45% juice and a mango punch is 20% juice. By combining the two, a company is making 500 L of a fruit punch that is 40% juice. How many liters of orange punch are needed for the company’s concoction? Make sure to include units. PLEASE FAST. AND SHOW WORK
Answer:
400 liters of orange punch and 100 liters of mango punch are required to create a mixture with 40% juice.
Step-by-step explanation:
Given that the orange punch has 45% juice and the mango punch has 20% juice, if you want to create a mixture of 500 liters of fruit punch that has 40% juice, to determine the percentage of punch of each fruit to be used, the following calculation must be performed:
45 x 1 + 20 x 0 = 45
45 x 0.9 + 20 x 0.1 = 42.5
45 x 0.8 + 20 x 0.2 = 40
Therefore, it takes 80% orange punch and 20% mango punch to create a mixture with 40% juice. Thus, since 500 x 0.8 equals 400, 400 liters of orange punch and 100 liters of mango punch are required to create a mixture with 40% juice.
What is the constant of proportionality of the equation y=4/5x?
Answer:
Step-by-step explanation:
y=
4
5
x
Find the 9th term of the geometric sequence 9, 27, 81
Answer: 243
Step-by-step explanation:
It’s going up by the square roots of 3 so therefore the fourth term is 3 to the fourth power which is 243.
If the vertex of image Q' is located at coordinates (16,8) was dilated by a scale factor of 2, what was the coordinates for the pre-image Q?
Answer:
(32,16)
Step-by-step explanation:
When you dilate a coordinate by a factor say a, the coordinate of the image are multiplied by this factor to get the coordinate of the pre-image. For example, if the coordinate of the image is (x,y) dilated by a factor of "a", the coordinate of the pre-image will be (ax, ay)
Given the coordinate (16, 8) the coordinate of the pre image of dilated by a factor of 2 is given as;
(2×16, 2×8) = (32, 16)
Hence the coordinates for the pre-image Q is (32,16)
1. This table shows the input and output values for an exponential function f(x).
What is the ratio of outputs for any two inputs that are one value apart?
4
−12
2
−2
2. The table represents an exponential function.
What is the ratio of outputs for any two inputs that are two values apart?
Divide the larger output by the smaller output.
Enter your answer, as a decimal to the nearest hundredth, in the box.
3. Which situations can be represented by an exponential function?
Select each correct answer.
The value of a motorcycle decreases by 12% each year.
In a structure made of soup cans, each row has 6 more cans than the previous row.
Every year, the number of online subscribers to a service is 4 times what it was the previous year.
A doctor's office accepts 20 new patients each month.
Answer:
Question 1) Is option C: 2. (Question 2) The correct answer is 1.09 for the K12 program. Question 3) Option A: The value of a motorcycle decreases by 12% each year. (Option C) Every year, the number of online subscribers to a service is 4 times what it was the previous year.
The ratio of outputs for any two inputs that are one value apart is 4 thus option (A) is correct. The ratio of outputs for any two inputs that are two values apart is 1/8. The situation in option (3) represents the exponential function.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given table,
The ratio of outputs for any two inputs that are one value apart = (-1/2)/(-1/8) = 4
The ratio of outputs for any two inputs that are two values apart = (-1/8)/(-1) = 1/8
Every year, the number of online subscribers to a service is 4 times what it was the previous year's exponential function with a 4^x exponent.
Hence "The ratio of outputs for any two inputs that are one value apart is 4. The ratio of outputs for any two inputs that are two values apart is 1/8 and the third statement shows exponential function".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ2
What does s+8 equal?
Answer:
it will be 12f
Step-by-step explanation:
since you told the wrong question
Which statements are true?
–1.3 is less than Two-fifths.
1.5 is less than –0.2.
Two-fifths is greater than –0.2.
Negative one-fourth is less than –0.2.
1.5 is greater than Two-fifths.
Answer:
A, C, D and E
Step-by-step explanation:
Hope it helps :D
Answer:
A,C,D and E
Step-by-step explanation:
HELP ME SOLVE THis Plz Solve last one plz
Answer:
the last one is 128.9
The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%
Answer:
Step-by-step explanation:
Well the answer is 40 cause you count by 20 so if you in 20 t o times then you would get 40 percent
75% of the tape diagram is shaded.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The tape diagram.
Let us consider the whole tape as 1 and 100%.
It is divided into four parts.
3 parts of 4 parts are shaded.
Three divided by four.
3/4=0.75
Now multiply 0.75 with 100.
0.75×100
75%
Hence, 75% is the shaded diagram percentage.
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ2
Whoever answers correctly gets brainlist.
Answer:
57/60-52/60
Step-by-step explanation:
First you have to make the denominator the same to subtract. By find out what number they have in common. And the number was 60. 15x4=60 and 20x3=60. And whatever you do to the bottom you do for the top 19x3= 57. 13x4=52. So the form would be 57/60-52/60. Once you find the form then you subtract 57-52=5 and when you minus the denominator it stays the same. so the ANSWER would be 5/60.