Answer:
x^12
Step-by-step explanation:
when multiplying with exponents, keep base and add exponents
when dividing with exponents, keep base and subtract exponents
Assume a normal distribution. From the Baltimore facility, 145 samples were obtained and compared with a sample of 128 from the Burlington facility. The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were:
Answer:
Hello your question has some missing part below is the missing part
The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were: Baltimore facility, Burlington facility Mean 52.5 Mean 39.7
Standard deviation 19.7 Standard Deviation 8.9Using this data, complete the following:
State your hypothesis and conduct a hypothesis testing using a significance of 0.10.
answer : We will reject the Null hypothesis
Step-by-step explanation:
μ1 = mean working hours for Baltimore facility
μ2 = mean working hours for Burlington facility
Hence the Hypothesis are :
H0 : μ1 = μ2
Ha : μ1 > μ2
Next: Conduct a hypothesis testing
we will apply Z - testing attached below is the hypothesis testing
n1 = 145 , X1 = 52.5 , δ1 = 19.7 ( Baltimore )
n2 = 128, X2 = 39.7 , δ2 = 8.9 ( Burlington )
St. Francis Bank pays 4% interest, compounded daily, from the date of deposit to the date of withdrawal. The daily interest rate (to the nearest milionths' place)
for October 14 (92 days in the quarter) on this account is:
0.000109.
0.000112
0.000098.
Answer:
The daily interest rate on this account = 0.000109
Step-by-step explanation:
Given that,
Interest rate = 4% compounded daily
i.e
Interest is 4% per annum and it is compounded daily.
Now,
We know , 1 year = 365 days
and 1 year interest rate = 4% = [tex]\frac{4}{100}[/tex] = 0.04
So,
The daily interest rate = [tex]\frac{0.04}{365}[/tex] = 0.000109
∴ we get
The daily interest rate on this account = 0.000109
In the figure, two poles are 25 m and 35 m high. A cable 23 m long Joins the tops of the poles. Find the distance between the poles.
Answer: 20.71 m
Step-by-step explanation:
Given
the length of the poles are 25m and 35 m
The length of the cable is 23 m
Suppose the distance between them is x
From the figure, apply Pythagoras theorem
[tex]\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m[/tex]
Distance between Poles is 20.71 m
The art students are using clay. Each student needs 9/10 of a package of clay, there are 32 students in the class. How many packages of clay does the class need?
Answer:
29
Step-by-step explanation:
[tex]\frac{9}{10} * \frac{32}{1} = \frac{288}{10} = 28.8[/tex]
What fraction is less than 3/4?
Answer:1/2
Step-by-step explanation:3/4 equals 75% but 1/2 equals 50%
500 people were surveyed about their favorite type of pet. 55% of the people said
"dog", 1/10 said "cat", 0.3 said "bird", and the rest said "other". How many people
responded "other"?
Answer:
25/500 or 5% said 'other'
Step-by-step explanation:
55% = 275 (dog)
1/10 = 50 (cat)
0.3 = 150 (bird)
Total = 475
475 out of 500 (95%) gave an answer other than 'other'
Suppose you add two linear equations that form a system, and you get the result y = −2. How many solutions does the system have?
Answer:
This system will have 1 solution
Step-by-step explanation:
A linear system that has exactly one solution is called a consistent independent system. Consistent means that the lines intersect and independent means that the lines are distinct. Linear systems composed of lines that have the same slope and the y-intercept are said to be consistent dependent systems.
y = 2x - 4
y = - 2x + 8
Math
Answer:
(3,2)
Step-by-step explanation:
Since both equations are equal to each others.
2x-4=-2x+8
2x+2x=8+4
4x=12
x=3
Substitute x = 3 in any given equations but I will substitute in the first equation.
y = 2(3)-4
y = 6-4
y = 2
What is the domain of the function shown in the graph below?
The domain of the function graphed in this problem is given as follows:
(-∞, -1) U (-1, ∞).
How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The vertical asymptote of the rational function graphed in this problem is given as follows:
x = -1.
Hence the function is defined for all real values except x = -1, meaning that the domain is given as follows:
(-∞, -1) U (-1, ∞).
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How many integers between 0 and 500:
1. Have distinct digits?
2. Are divisible by 3?
3. Are divisible by 3 or 5?
4. Are divisible by either 3 or 5, but not both?
5. Are divisible by 3, but not 5?
Pls help asap!!
Answer:
4
Step-by-step explanation:
they are divisible by either 3 or 5 but not both of these numbers
Answer:
378
Step-by-step explanation:
1 digit numbers - 9
2 digit numbers - 90
Now, subtract the repeating numbers 90-9 = 81
3 digit numbers = 4*9*8 = 288
Distinct numbers = 9+81+288 = 378 numbers
i need help with these 2 questions.
Answer:
Step-by-step explanation:
6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height
Area of one triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}\times 4\times 3[/tex]
= 6 km²
Perimeter of the triangular base = (4 + 3 + 5)
= 12 km
Height of the triangular prism = 7 km
Surface area of the given triangular prism = 2(6) + (12)(7)
= 12 + 84
= 96 km²
7). Surface area of a rectangular prism = 2(lb + bh + hl)
Here, l = Length, b = Width and h = Height
By substituting the values from the given question,
l = 9 in, b = 9 in, h = 4 in
Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)
= 2(81 + 36 + 36)
= 2(153)
= 306 in²
Give two examples of line segments that will make a triangle ?
Answer:
If the length of any one side is greater than the sum of the length of the other two, the line segments cannot be used to create a triangle. It is possible to create a triangle using 3 line segments if the sum of the lengths of any two line segments is greater than the length of the third.
What is the mode of the data set?
A. 90
B. No mode
C. 85.5
D. 49
Hurry and give a SERIOUS answer! Will give brainliest.
Answer:
mode is the number listed most often and data can have more then 1 mode
the numbers most listed in the image are: 5 and zero
Step-by-step explanation:
I hope this helped!
Answer:
90
Step-by-step explanation:
mode = A number that appears most often is the mode.
PLS HELP ME OUT GUYS PLS PLS PLS PLS
the 1st, 2nd, and 3rd are correct
Dilations-He Said, She Said (12/10)
Answer:
um.....
Step-by-step explanation:
A picture of Margo's garden is shown below. It is made of 2 rectangular prisms. She wants to fill it with dirt. She needs to find the volume of the garden to know how much dirt to buy.
9 cubic feet
10 cubic feet
98 cubic feet
107 cubic feet
Answer:
9 cubic feet
Step-by-step explanation: You multiply them all then divide 9 by the greatest number that fits in 107What are the x- and y-intercepts of the line with
equation 4x + 5y = 40 ?
Answer:
x - intercept - ( 10 , 0)
y - intercept - (0 , 8)
Step-by-step explanation:
We run a terminating simulation 20 replications to estimate the average throughput of a manufacturing system. Suppose that the observed throughputs from these 20 replications are 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7. a. (0.1 point) What is the 99% t-confidence interval for the mean throughput
Answer:
[tex]CI =6.5 \± 1.09[/tex]
Step-by-step explanation:
Given
[tex]Data: 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7[/tex]
Required
Determine the 99% t-confidence interval
First, calculate the mean
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{4+ 5+ 7+ 5+ 8+ 7+ 5+ 9+10+ 5+ 6+ 7+ 2+ 11+ 6+ 3+ 2+ 11+ 10+ 7}{20}[/tex]
[tex]\bar x =\frac{130}{20}[/tex]
[tex]\bar x =6.5[/tex]
Calculate the standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)}{n}[/tex]
[tex]\sigma =\sqrt{\frac{(4-6.5)^2+ (5-6.5)^2+ ........+ (2-6.5)^2+ (11-6.5)^2+ (10-6.5)^2+ (7-6.5)^2}{20}}[/tex]
[tex]\sigma =\sqrt{\frac{143}{20}}[/tex]
[tex]\sigma =\sqrt{7.15}[/tex]
[tex]\sigma =2.67[/tex]
The z score for 99% confidence interval is: 2.576
The confidence interval is calculated as:
[tex]CI =\bar x \± z * \frac{\sigma}{\sqrt n}[/tex]
[tex]CI =6.5 \± 2.576 * \frac{2.67}{\sqrt {40}}[/tex]
[tex]CI =6.5 \± 2.576 * \frac{2.67}{6.32}}[/tex]
[tex]CI =6.5 \± 1.09[/tex]
whoever answers it correct first gets brainlest
Answer:
f(x)=x+1 ok
please mark me as brainlest
Lily has 3 dog toys that are red. One fifth of all her dog toys are red. How many dog toys does Lily have? Complete the explanation. Please I need help!!!!
Answer:
she has 15 dog toys
Step-by-step explanation:
mutlipy 3 by five because the top number is one
f(x) = 4x3 + 5x2 – 3x – 6
g(x) = 4x – 5
Find (f - g)(x).
Answer: soo
(4x^3+5x^2-3x-6)-(4x-5)
the answer is 4-^3+5x^2-7x-1
Step-by-step explanation:
In a poll conducted of 10000 people before an election, 5050 people preferred candidate D. What is the probability of seeing such a poll, given that candidate D wins the election with 51% of the vote. Make some reasonable assumptions and use the continuity correction to compute your answer.
Answer:
P ( x < 5050.5 ) ≈ 0.16104
Step-by-step explanation:
Total number of voters ( n ) = 10000
Before election : 5050 people preferred Candidate D ( k ) ≈ 50.1 %
Candidate D eventually wins with 51% of the votes
winning ( p ) = 0.51
Applying continuity correction formula
P ( x < 5050.5 ) ≈ 0.16104
attached below is the remaining part of the solution
HELP PLEASE ASAP!!!!! 20 POINTS!!!!
1/2 of a number y is more than 22
Answer:
1/2y > 22
Step-by-step explanation:
I think that's what you were asking, but I'm not sure
So the is more than tells you that you're going to use the greater than sign. and 1/2 of y is 1/2y because of means mulitiplication
hope this helps:)
Answer:
1/2y > 22
Step-by-step explanation:
Write an equation for the number y:
1/2 of y is more than 22
1/2 * y is more than 22 ('of' equals multiply)
1/2y = more than 22 ('is' equals a equal sign)
1/2y > 22 ('more' is greater than and not greater than and equal since it doesn't state anything that it could acctually be equal to)
1/2y > 22
(You can solve for y if you need to find the value of the number)
What is the volume please help me please
Answer:
1296(Length x Width x Height)
6x18x12=
1296I hope this helped! ♡+*
(x +y )(x -y), if x = -3, y=-5
PLS NO FILES OR I AM REPORTING YOU
Answer:
-16
Step-by-step explanation:
(X + Y)
= (-3 + -5)
= -8
(X - Y)
= (-3 - -5)
= 2
Because they're still in brackets in this form:
(-8) (2)
You multiply them both and you'll get the answer:
-16
hope this helped!
what does 5 × 100 equal
Answer: 500.
Step-by-step explanation:
Your answer is 500.
Dizzy and bruised, covered in soot, he got gingerly to his feet, holding his broken glasses up to his eyes. He was quite alone, but where he was, he had no idea." - Harry Potter and The Chamber of Secrets *
1st person
2nd person
3rd person objective
3rd person limited
3rd person omniscient
Answer:
2nd person
Step-by-step explanation:
The term second person is used to describe a clause or piece of text in which the author is not referring to himself or herself but is referring to the second person that is you. When people being addressed are referred to in a sentence, the nature of the sentence is second person.
c. Suppose the firm with the 20 percent market share announces a plan
to buy one of the firms with a 5 percent market share. Is the U.S.
Department of Justice likely to challenge the merger? Why or why
not?
The likelihood of a U.S. Department of Justice challenge to the merger would depend on various factors, including market concentration, potential anticompetitive effects, and impact on consumer welfare. Without further information, it is difficult to determine definitively.
Determining whether the U.S. Department of Justice (DOJ) is likely to challenge a merger involves several factors, including market concentration and potential antitrust concerns. In this case, the firm with a 20 percent market share plans to acquire a firm with a 5 percent market share.
The DOJ is more likely to challenge a merger when it raises concerns about potential anticompetitive effects, such as creating or enhancing market power. Market concentration is a key factor in assessing antitrust issues. While a 25 percent combined market share may not necessarily trigger an automatic challenge, the DOJ will consider other factors as well.
To evaluate the likelihood of a challenge, the DOJ will assess the overall market structure, including the level of competition and the presence of other significant competitors. If the merger significantly increases concentration levels and reduces competition in the market, it may raise concerns for the DOJ.
Additionally, the DOJ will examine the potential impact on consumer welfare, pricing, and innovation. If the merger is likely to result in higher prices, reduced choices for consumers, or hinder innovation, it may trigger antitrust scrutiny.
Considering the limited information provided, it is challenging to definitively determine whether the DOJ would challenge the merger. However, a 25 percent combined market share might not necessarily be considered highly concentrated, especially if there are other significant competitors in the market. The DOJ's decision would depend on a comprehensive analysis of the specific market dynamics and the potential effects of the merger on competition and consumer welfare.
Ultimately, the likelihood of a DOJ challenge would require a more detailed examination of the specific market conditions, the potential impacts of the merger, and compliance with antitrust laws and regulations.
for such more question on consumer welfare
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Trinh is catering a wedding that 112 people will attend. She is making two cakes, a chocolate cake and a carrot cake. 0.625 of the guests will be served chocolate cake and the rest will receive carrot cake. How many guests will get carrot cake?
Answer:
Step-by-step explanation:
70