Imaginary numbers. What is (-i)^5?
It is desired to compare the hourly rate of an entry-level job in two fast-food chains. Eight locations for each chain are randomly selected throughout the country, the selections for each chain being independent. The following hourly rates are recorded:
Chain A 4.25 4.75 3.80 4.50 3.90 5.00 4.00 3.80
Chain B 4.60 4.65 3.85 4.00 4.80 4.00 4.50 3.65
Under the assumption of normality and equal variances, can it be concluded at the 5% significance level that chain A pays more than chain B for the job under consideration?
Answer:
It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration
Step by Step Solution:
The given data are;
Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80
Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65
Using the functions of Microsoft Excel, we get;
The mean hourly rate for fast-food Chain A, [tex]\overline x_1[/tex] = 4.25
The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478
The mean hourly rate for fast-food Chain B, [tex]\overline x_2[/tex] = 4.25625
The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649
The significance level, α = 5%
The null hypothesis, H₀: [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ: [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
The pooled variance, [tex]S_p^2[/tex], is given as follows;
[tex]S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}[/tex]
Therefore, we have;
[tex]S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682[/tex]
The test statistic is given as follows;
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}[/tex]
Therefore, we have;
[tex]t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176[/tex]
The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14
At 5% significance level, the critical t = 2.145
Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration
Please help me :) I will give Brainiest to whoever does! PLEASE HURRY
Answer:
18.33
Step-by-step explanation:
If 60 minutes equals one hour, which expression would you use to find the number of
hours in 240 minutes?
A triangle with an area of 37 units? is dilated by a scale factor of . Find the area of
the triangle after dilation. Round your answer to the nearest lenth, if necessary.
Answer:
58 units
Step-by-step explanation:
I decided that one side is 37 units and another is 2 units, since that would make the area 37 units. (you can also use 74 units and 1 unit)
Then I multiplied 37 by 5/4, which equals a new length of 46.25 units, and I also multiplied 2 by 5/4, which equals a new length of 2.5 units.
Finally, I solve for the area of the triangle:
1/2(46.25 x 2.5) ≈ 58 units (rounded to the nearest whole number)
EASY Work!! Please look at the picture and yes it’s easy for other people but not me for people asking.
Answer:
7()=11
8()=42
I could barely see the answer for number 9 sorry :(
Step-by-step explanation:
the 7() is 2(3)+5
2(3)=6
6+5=11
Question (8)
c^2+3a x b
c(6)^2+ 3(3) x 2/3
36+9 x 2/3
36+6=42
Answer:
(7)=11
(8)=42
Step-by-step explanation:
here
an oil company bores a hole 80m deep estimate the cost of boring if the cost is £30 for drilling the first meter with an increase in cost of £2 per meter for each succeeding meter
Answer: £188
Step-by-step explanation:
Given
The depth of the hole is 80 m
For the first meter, it is £30
After that, it is £2 per meter
after a meter, it is 79 m more
The total cost is C
[tex]\Rightarrow C=30+2\times 79\\\Rightarrow C=30+158=188[/tex]
What is the value of xwhen ik o h)(r)
-1?
OA.
2
OB.
-3
O C. 1
OD.
4
I NEED HELP ASAP
Answer:
4
Step-by-step explanation:
the 30% discount on a $49 dollhouse
Answer:
34.30
Step-by-step explanation:
$14.70 is 30% of $49 so
The total would be $34.30 after the discount
But the discount is %14.70
A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each. Find the equation of the form P(n)
Answer:
The equation of the form P(n) is:
P(n)=-0.002n+75
Step-by-step explanation:
From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:
m=(p1-p2)/(n1-n2)
m=slope
p1=69
p2=61
n1=3000
n2=7000
m=(69-61)/(3000-7000)
m=8/-4000
m=-0.002
Now that you have the slope, you can find the the equation of the form P(n):
P(n)=-0.002(n-3000)+69
P(n)=-0.002n+6+69
P(n)=-0.002n+75
According to this, the answer is that the equation of the form P(n) is:
P(n)=-0.002n+75
A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct in
your answer
Answer:
59.5 cm
Step-by-step explanation:
Find the area of the entire rectangle first. Formula is base times height: [tex]9*8[/tex]
=72
Next, find the missing sides by subtracting [tex]8-3[/tex] and [tex]9-4[/tex].
=5 and 5
Then find the area of the triangle. Formula is base times height divided by 2: [tex]\frac{5*5}{2}[/tex]
=12.5
Then subtract to find only the shaded section: [tex]72-12.5[/tex]
=59.5 cm
PLEASE HELP
x + 2/3 = 9/10
Answer:
The answer is x= 7/30
How was Franklin D. Roosevelt a lasting impact even on today's society
Answer:
Franklin Delano Roosevelt, often referred to by his initials FDR, was an American politician who served as the 32nd president of the United States from 1933 until his death in 1945. A member of the Democratic Party, he won a record four presidential elections and became a central figure in world events during the first half of the 20th century. Roosevelt directed the federal government during most of the Great Depression, implementing his New Deal domestic agenda in response to the worst economic crisis in U.S. history. As a dominant leader of his party, he built the New Deal Coalition, which defined modern liberalism in the United States throughout the middle third of the 20th century. His third and fourth terms were dominated by World War II, which ended shortly after he died in office.
Step-by-step explanation:
to this ‘Great Man Theory’ it can be said that Franklin Delano Roosevelt upheld his victorious and highly regarded government through means of social, economic and political reforms, as well as ambitious personal and strategic decisions that have successfully remained influential to American society today and maintained his image as a prominent historic leader.
which is an equation of a line through (7,1) and perpendicular to y=-x+3
Answer:
The answer is y=-1x+8 or you can write it this way y=-x+8 either way will work fine.
Step-by-step explanation:
y=mx+b
m=-1
y-y=m(x-x¹)
y-1=-1(x-7)
y-1=-1x+7
+1 +1
y=-x+8
I hope this helps:)
If 3 inches of rain fell in 5 hours, how much rain fell each hour? *
Answer:
Step-by-step explanation:
you can divide 5 divided by 3 and your answer will be 0.6
The ratio of cows to chickens on Tweedy's Farm is 2:7. Which farms have a greater ratio of cows to chickens than Tweedy's Farm? Select all that apply.
a Steller Stover's Farm 3 cows for 5 chickens
b Awesome Ansel's Farm 1 cow for every 5 chickens
c Happy Hall's Farm 1 cow for every 3 chicken
d Jumping Jack Jones Farm 3 cows for every 8 chickens
The answer would be B) Awesome Ansel's Farm 1 cow for every 5 chickens.
Sine divided by Cosine is equal to Tangent. True or false?
Answer:
True
Step-by-step explanation:
Victor buys four chairs to place around his dining room table. He pays a total of $88. What is the unit
price?
in a book reading contest students read as many books as they can in one week. the number of books read by each student are given, use the data to make a histogram
2, 10, 5, 4, 1, 3, 2, 6, 4, 8, 1, 3, 5
Answer:
C
Step-by-step explanation:
Process of elimination. A) had the wrong numbers on the bottom. B) has the right information but it's too narrow. D) has the wrong information. I just took the quiz and got this questions right. Hope this helps!
Answer:
C is the approximant answer
The historical U.S. mean unemployment insurance benefit was reported to be $238 per week. A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level. What would be the appropriate alternative hypothesis if he wanted to substantiate his suspicion
Answer:
The appropriate alternative hypothesis if he wanted to substantiate his suspicion would be [tex]H_{a}: \mu > 238[/tex]
Step-by-step explanation:
At the null hypothesis, we test that the mean is equal to a certain value.
At the alternate hypothesis, we test that the mean is different, less than or more than the mean value tested at the null hypothesis.
The historical U.S. mean unemployment insurance benefit was reported to be $238 per week.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 238[/tex]
A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level.
This means that the alternate hypothesis is:
[tex]H_{a}: \mu > 238[/tex]
An architect’s blueprint for a new house shows the kitchen being 7 inches wide. If the scale used to create the blueprint is 0.5 in. = 1 ft, what is the actual width of the kitchen?
Two bags of flour have a total weight of 8 3/4 pounds. What could be their individual weight
Answer:
4 3/8 lbs.
..................
There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The individual weights of the bags of flour must add up to a total weight of 8 3/4 pounds.
We can express 8 3/4 as an improper fraction by multiplying the whole number 8 by the denominator 4 and adding the numerator 3, giving us 35/4.
Therefore, we can set up an equation:
x + y = 8 3/4
where x is the weight of one bag of flour, and y is the weight of the other bag of flour.
We can simplify 8 3/4 to 35/4, so the equation becomes:
x + y = 35/4
We can solve for one variable in terms of the other:
x = 35/4 - y
Now we can substitute this expression for x into the original equation and solve for y:
x + y = 35/4
(35/4 - y) + y = 35/4
35/4 = 35/4
This equation is true for any value of y.
Therefore, there are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
For example, one bag could weigh 4 pounds and the other could weigh 4 3/4 pounds, or one bag could weigh 3 pounds and the other could weigh 5 3/4 pounds, and so on.
Thus,
There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
Learn more about expressions here:
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Simplify.
5a√2+3a√2
16a
8
8a
Answer:
8a[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term
= [tex]\sqrt{2}[/tex] (5a + 3a)
= 8a[tex]\sqrt{2}[/tex]
For the following right triangle, find the side length x.
12
5
Answer:
x = 13
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 5^{2} + 12^{2}[/tex]
[tex]c ^{2} = 25 + 144[/tex]
[tex]c^{2} = 169[/tex]
[tex]\sqrt{c^2} = \sqrt{169}[/tex]
[tex]c = 13[/tex]
Solve for the length of BA and BC, round your answer to 1 decimal place
Answer:
[tex]BA = 6.0[/tex]
[tex]BC = 13.4[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a) BA
Considering the tangent of angle C, we have:
[tex]tan\ C = \frac{BA}{AC}\\[/tex]
This gives:
[tex]tan\ 25 = \frac{BA}{12}[/tex]
Make BA the subject
[tex]BA = 12 * tan\ 25[/tex]
[tex]BA = 12 * 0.4663[/tex]
[tex]BA = 6.0[/tex] --- approximated
Solving (a) BC
Using Pythagoras theorem
[tex]BC^2 = BA^2 + AC^2[/tex]
[tex]BC^2 = 6.0^2 + 12^2[/tex]
[tex]BC^2 = 180[/tex]
Square root of both sides
[tex]BC = \sqrt{180[/tex]
[tex]BC = 13.4[/tex]
If l=3, w= 3, and h= 5, what is the volume of this box
Answer and Step-by-step explanation:
To find the volume, we multiply the length by the width by the height for a rectangular prism (aka the box).
length = l = 3
width = w = 3
height = h = 5
Now, we multiply each together.
3 × 3 × 5
9 × 5
45
The volume of the box is 45.
#teamtrees #PAW (Plant And Water)
Answer:
the volume of the box would be 45
Step-by-step explanation:
Helppppppppppp I have 3 minutes
Answer:
It definitely is linear, and it is a straight line
Step-by-step explanation:
Try using desmos, it may help
Answer:
A) it is linear and it is a straight line
Step-by-step explanation:
it is a linear equation. It will be straight
y=mx+b is linear
I need help please.
Step-by-step explanation:
if I had to guess it's probably true
Expand and combine like terms: (2x^3+4x^5)^2=
Answer:
16x^10+16x^8+4x^6
The expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is [tex]4x^6 + 16x^8 + 16x^10[/tex].
when we combine all the like terms.
To expand and combine like terms for the expression [tex](2x^3 + 4x^5)^2,[/tex] we need to square each term inside the parentheses and then combine like terms.
Using the FOIL method (First, Outer, Inner, Last) to multiply the terms, we have:
[tex](2x^3 + 4x^5)^2 = (2x^3)^2 + 2(2x^3)(4x^5) + (4x^5)^2[/tex]
Simplifying each term:
[tex](2x^3)^2 = 4x^6\\2(2x^3)(4x^5) = 16x^8\\(4x^5)^2 = 16x^10[/tex]
Combining like terms, we have:
[tex](2x^3 + 4x^5)^2 = 4x^6 + 16x^8 + 16x^10[/tex]
Therefore, the expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is [tex]4x^6 + 16x^8 + 16x^10.[/tex]
To know more about "expression." here
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Full Question
Expand and combine like terms: (2x^3+4x^5)^2 by simplication.
(No graph needed)
Show your work: 1/2x = 10
