Answer:
3 log (3) + 1/2Step-by-step explanation:
log8(216) + [log(42) - log(6)] ÷ log(49) =log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =3 log (3) log (2) / 3 log (2) + log (7) / 2 log (7) = 3 log (3) + 1/2It 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
Help help thank you
PLEASE HELP
x + 2/3 = 9/10
Answer:
The answer is x= 7/30
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:
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]
In the figure below, points G, H, and Jall lie on circle I.
H
Which of the following can be concluded from the figure?
Answer:
3rd option
∠JGH= 1/2∠JIH
Step-by-step explanation:
This is because of the circle theorem that states that angle at center is equal to two times the equal at circumference
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
Show your work: 1/2x = 10
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)
Help this is due today
What is 4 x 1/3 I don’t understand because I was using an old method to do this and it isn’t working plz help
Answer:
4/3 hope this helps
If 60 minutes equals one hour, which expression would you use to find the number of
hours in 240 minutes?
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]
HELP!!!!! WILL GIVE BRANLIEST !!!!!
Answer:
F = (-2,4); E = (-2,0); D = (2,0)
Step-by-step explanation:
F = 4 points from A, so by a scale factor of 2, it would be 2 times father away from A. The same thing applies for all of the other points; just find how much father A is from a point, then dilate that point by multiplying it by the scale factor, and settling the point closer or father from A.
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:)
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
Find the missing angle of each triangle.
Answer:
1 is 64
2 is 85
3 is 56 hope this helps
Step-by-step explanation:
also how give brainly i want to give u brainly
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
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?
(10y + 3) - (2y - 2)
Answer:
8y+5
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?
Which statement best describes the values of x and y in the table
Answer:
Answer A
Step-by-step explanation:
As the value of x increases by 2 the value of y increases by 4
Explain why a variable's coefficient is 1 unless you see another number in front of it.
For adding variables we use the coefficient as 1 if there is no number infront of variable.
What is Expression?An expression is combination of variables, numbers and operators.
A coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression.
Let us consider a algebraic expression
ax+by+z=0
In the given expression a, b are coefficients of x and y respectively.
We use coefficient as one when there is no number before a variable because when we add variables there should be some number before varibales. So we consider 1 as coefficient for those variables which does not have any coefficient.
Hence, for adding variables we use the coefficient as 1 if there is no number infront of variable.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
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]
A stadium is shaped like a hemisphere with a radius of 150 feet. Last month, the owners of the stadium paid $0.05 per cubic foot to cover the cost of utilities. What was the total cost for utilities last month?
Answer:
353,249 feet cubed
Step-by-step explanation:
V=(4/3)[tex]\pi (3.14)rx^{3}[/tex]/2 times 0.05
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
Please help me :) I will give Brainiest to whoever does! PLEASE HURRY
Answer:
18.33
Step-by-step explanation:
ANSWERRRRR????HELPP PSLSSSSS
Answer:
its sas side angle side plz mark me branliest
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 table shows the prices for the same cereal, sold in different weights. Which size box is the best buy, in terms of price per ounce?
A. 9 oz
B.18 oz
C.28 oz
D.38 oz
Answer:
c
Step-by-step explanation:
ESPERO TE A YDUE :)
