Answer:
4- 3a .............................
A small university is concerned with monitoring its electricity usage in its Student Center. Specifically, its officials want to know if the amount of electricity used differs by day of the week. They collected data for nearly a year, and the relevant summary statistics are provided. Note that electricity usage is measured in kilowatt hours. Day of Week n x bar s Sunday 45 86.48 34.89 Monday 45 109.29 27.37 Tuesday 45 110.96 28.64 Wednesday 44 115.03 31.68 Thursday 44 114.97 33.26 Friday 45 108.58 32.22 Saturday 45 87.07 38.56 Overall 313 104.56 34.25 Computer output from the analysis is provided: One-way ANOVA: Electricity versus Day of Week Source DF SS MS F P Day of Week 6 41646 6941 6.55 0.000 Error 306 324428 1060 Total 312 366073 What is the decision on the hypothesis test and why
Answer:
Since p-value > ∝, H0 is accepted
Step-by-step explanation:
Calculating gives the following results.
ANOVA Table
Source DF Sum Mean F Statistic P-value
of Square Square
Groups 6 191.61 31.935 0.020 0.999
(b/w groups)
Error
(within 14 21736.08 1552.577
groups)
Total 20 21927.69 1096.385
1. H0 hypothesis
Since p-value > ∝, H0 is accepted.
Hence the averages of all groups considered to be equal.
Or the difference between the averages of all groups is not big enough to reject H0.
2. P-value
P-value equals 0.999. This means that if we would reject H0, the chance of type1 error (rejecting a correct H0) would be too high i.e (99.99%)
The bigger p-value supports H0.
3. The statistics
The test statistic F equals 0.020, which lies in the accepted range: [-∞ : 2.8477]
how many ways can three people be selected from a group of seven people if order does matter
Answer:
210 ways
Step-by-step explanation:
Given
[tex]n = 7[/tex] --- total
[tex]r = 3[/tex] --- selection
Required
In how many ways can be selection be done
Since orders does matter, then it is permutation.
This is calculated as:
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
So, we have:
[tex]^7P_3 = \frac{7!}{(7-3)!}[/tex]
[tex]^7P_3 = \frac{7!}{4!}[/tex]
Solve each factorial
[tex]^7P_3 = \frac{7*6*5*4!}{4!}[/tex]
[tex]^7P_3 = 7*6*5[/tex]
[tex]^7P_3 = 210[/tex]
The traffic flow rate (cars per hour) across an intersection is
r
(
t
)
=
300
+
600
t
−
90
t
2
, where
t
is in hours, and
t
=0 is 6am. How many cars pass through the intersection between 6 am and 9 am?
Answer:
990 cars
Step-by-step explanation:
Find how many cars pass through at 6am, t=0:
r(0)= 300+600(0)-90(0²) = 300
Find how many cars pass through at 9am, t=3:
r(3)= 300+600(3)-900(3²)=300+1800-810=1290
Find the difference (how many cars pass between 6am and 9am): 1290-300=990
There were 24 students in Mrs. Weibel’s class last year and now she has 27 students. What is the percent increase in students from last year to this year? Express your answer to the nearest tenth.
Answer:
12.5%
Step-by-step explanation:
change/original amount * 100= percentage change
3/24 * 100 = 12.5
Drag each number to the correct location on the table.
Classify the numbers according to their positions on a vertical number line.
2.3
3
-5.1
-2.5
5.2
2.5
-5.8
-0.1
Below -0.5
Between -0.5 and 2.9
Above 2.9
Answer:
See below
Step-by-step explanation:
Below -0.5: -5.1, -2.5, -5.8
Between -0.5 and 2.9: 2.3, 2.5, -0.1
Above 2.9: 3, 5.2
Below -0.5: -5.1, -2.5, -5.8
Between -0.5 and 2.9: 2.3, 2.5, -0.1
Above -2.9: 3, 5.2
SOLVE
HOW MUCH
COMISSION
WILL AN AGGENT
MAKE ON THE SALE OF A $111,500 HOUSE IF SHE RECEIVES 1.5% OF THE SELLING PRICE
WILL
GIVE
BRIANLIST
Answer:
$1672.5
Step-by-step explanation:
Which of the a-values satisfy the following inequality?
7 + a < 11
Choose all answers that apply:
A: a=3
B: a=4
C: a=5
Answer:
A = 3
I hope it's helps you
to find the sum of all the odd integers from to 49 inclurive
Answer:
625 is the sum of first 49 odd numbers.
Step-by-step explanation:
Add the all odd numbers between 1 - 49.
1+3+5+7+9+11+ 13+ 15+17+ 19+21+23+25+ 27+29+31+33+35+37+39+41+43+45+ 47+ 49 = 625
Hope it is helpful....Round to the nearest tenth if necessary.
Amy goes to a pumpkin patch and picks out a pumpkin that weighs 3,550 grams. If 1 gram = 0.0352 ounces, how many ounces does the pumpkin weigh?
A) 124.56 ounces
B) 124.96 ounces
C) 125.56 ounces
D) 125.96 ounces
9514 1404 393
Answer:
B) 124.96 ounces
Step-by-step explanation:
To find ounces, multiply the number of grams by the number of ounces in each gram.
3550 × 0.0352 = 124.96 . . . ounces
what is the distance of the points (-7,-4) and (-2,-4)
Answer:
Step-by-step explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the values from the points in the problem gives:
d
=
√
(
4
−
−
4
)
2
+
(
17
−
2
)
2
d
=
√
(
4
+
4
)
2
+
(
17
−
2
)
2
d
=
√
8
2
+
15
2
d
=
√
64
+
225
d
=
√
289
d
=
17
Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided.
Lower bound = 0.298
Upper bound = 0.822
n = 1200
a. The point estimate of the population proportion is _____.
b. The margin of error is _____.
c. The number of individuals in the sample with the specified characteristic is _____.
Answer:
a. 0.56
b. 0.262
c. 672
Step-by-step explanation:
Confidence interval:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the result of the subtraction between these two bounds divided by 2.
a. The point estimate of the population proportion is
Mean of the bounds. So
(0.298 + 0.822)/2 = 0.56
b. The margin of error is
(0.822-0.298)/2 = 0.262
c. The number of individuals in the sample with the specified characteristic is
0.56 of 1200. So
0.56*1200 = 672
Computer Action Company sells computers and computer parts by mail. The company assures its customers that products are mailed as soon as possible after an order is placed with the company. The distribution of the times taken to mail products is known to follow a normal distribution. A sample of 28 recent orders showed that mean time taken to mail products for these orders was 70 hours and the standard deviation was 14 hours. If you were asked to find a 95% confidence interval for the mean time taken to mail products for all orders received at the office of this company, would you use z or t
Answer:
The t distribution is used, because we have the standard deviation for the sample.
Step-by-step explanation:
When to use the z or the t distribution?
When we have the standard deviation for the population, we use the z distribution.
When we have the standard deviation for the sample, we use the t distribution.
In this question:
We have the standard deviation for the sample, which means that the t distribution is used.
What is the following simplified product? Assume x>0.
218x3 3.V10x4 – x15x?
0 244² √5% - 44² √10x
24x35x - 4x3 10X
24x3 75-4x310x
O 24x35x +4x® /10x
Answer:
[tex]24x ^{3} \sqrt{5 - 4x ^{3} } \sqrt{10x} [/tex]
Write the power (-8)^2 in repeated multiplication form. Then find the value of the power
Answer:
(-8)x(-8)=64
Step-by-step explanation:
(-8)²
(-8)x(-8)=64
The repeated multiplication of (-8)² is -8 x (-8).
What are Exponent and Power?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base.
We know that exponents and power used to express powers.
like if we have 5³ then 5 is multiplied to itself 3 times.
Here we have (-8)² then we can write
(-8)²
= -8 x -8
= 8 x 8
= 64.
Learn more about Exponent and power here:
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Write the anwser in the simplest form.
Answer:
6/9
Step-by-step explanation:
really sorry if I'm wrong good luck!
Can someone please help me on this I’ll give brainliest
Answer
b
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
whole numbers are higher than 10, nutural numbers are like 1 2 3 4 5 while integers are like fractions
solve y=f(x) for x then find the input when the output is 6
f(x)=x+9
x = -3
So to figure this out we can readjust the equation to make it easier to solve
[tex]f(x) = x + 9[/tex] is equal to [tex]x+9 = 6[/tex]
From here we can just subtract 9 from both sides and we get our answer!
[tex]x+(9-9) = (6-9)\\x = -3[/tex]
What is the exact area of a circle with a circumference of 28?
Answer:
a= 62.39
Step-by-step explanation:
Julie can type 250words in 5 minutes. How long does she take to type 900words
Answer:
18 minutes
Step-by-step explanation:
900/250 is 3.6
3.6 * 5 = 18
Answer:
18 minutes
Step-by-step explanation:
Hi! Okay, let's get started!
Let's find her rate per minute first = 250/50 = 50 words per minute
Now, we need to find the time for 900 words, so we do 900/50, which gives you 18, or 18 minutes!
Hope that helps! :)
If f (x ) = -4x – 11, what is f (5)?
Answer:
-31
Step-by-step explanation:
We are given with a function f(x) = - 4x - 11 , and we need to find f(5) . For which , we just have to put x = 5 in f(x) . So , by putting x = 5 , we have
[tex]{:\implies \quad \sf f(5)=-(4\times 5)-11}[/tex]
[tex]{:\implies \quad \sf f(5)=-20-11}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f(5)=-31}}}[/tex]
Please help!!!!!! Help help
Answer:
a)-3+2x=y
b)-3+2(-6)=y
y=-15
Step-by-step explanation:
hope i helped youu
look at the picture above
Answer:
12
Step-by-step explanation:
Area of a triangle = [tex]A=\frac{bh}{2}[/tex]
Where b = base and h = height
The shown triangle has a base length of 3 cm and a height of 8 cm
Using these dimensions we plug in the values into the formula
[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\A=12[/tex]
Hence, the area of the triangle is 12 square centimeters
Answer:
12 centimeters^2
Step-by-step explanation:
We find the area of a triangle by multiplying the base and width of the triangle before dividing by 2
Why because if u put 2 triangles together you get a rectangle
3*8=24
24/2=12
Some students reported how many pets they had. The dot plot shows the data collected: A dot plot is titled Students Pets and labeled Number of Pets. The values on the horizontal line are 0, 1, 2, 3, and 4. There are 5 dots above 0, 4 dots above 1, 3 dots above 2, 2 dot above 3, and 1 dot above 4. What do the dots above the number 3 indicate? There are exactly 2 students with 3 pets. There are exactly 3 students with 2 pets. There are exactly 2 students with more than 3 pets. There are exactly 3 students with more than 2 pets.
Answer:
A dot plot is similar to histogram wherein they show the frequency of data. In this kind of plot, instead of bars, dots are stacked on their corresponding bin. The bins here are the number of pets, while the dots are the students. So, the 2 dots above number 3 signifies that, there are two students with three pets. The answer is A.
Step-by-step explanation:
The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values).
Marketing Managers 8 7 6 7 8 6
Marketing Research 10 10 9 9 10 9
Advertising 5 6 5 4 5 5
1. Compute the values identified below (to 1 decimal, if necessary).
a. Sum of Squares, Treatment?
b. Sum of Squares, Error?
c. Mean Squares, Treatment?
d. Mean Squares, Error?
2. Use Alpha= .05 to test for a significant difference in perception among the three groups.
3. Calculate the value of the test statistic (to 2 decimals)?
4. The p-value is?
5. What is your conclusion?
6. Using Alpha= .05, determine where differences between the mean perception scores occur.
7. Calculate Fisher's LSD value (to 2 decimals)?
8. Test whether there is a significant difference between the means for:________.
marketing managers (1),
marketing research specialists (2),
and advertising specialists (3).
Difference Absolute Value Conclusion for (1)-(2)?
Difference Absolute Value Conclusion for (1)-(3)?
Difference Absolute Value Conclusion for (2)-(3)?
Answer:
Part 1
a. Sum of Squares, Treatment= 61
b. Sum of Squares, Error= 7.5
c. Mean Squares, Treatment = 30.5
d. Mean Squares, Error= 0.5
2. the F value lies in the rejection region > 3.6823
3. The value of the test statistic = 61
4. The p-value is < 0.00001
5. Conclusion
Since p-value < α, H0 is rejected.
6. Between x`2 and x`3
7. Fisher's Least Significant Difference value almost 0.869
8.There is a significant difference between the means
Step-by-step explanation:
Summary of Data
Treatments
1 2 3 Total
n 6 6 6 18
∑x 42 57 30 129
Mean 7 9.5 5 7.167
∑x2 298 543 152 993
Sd.D 0.8944 0.5477 0.6325 2.0073
ANOVA Table
Source SS df MS
Between-treatments 61 2 30.5 F = 61
Error 7.5 15 0.5
Total 6 8.5 17
a. Sum of Squares, Treatment= 61
b. Sum of Squares, Error= 7.5
c. Mean Squares, Treatment = 30.5
d. Mean Squares, Error= 0.5
2. Using alpha= 0.05 the F value lies in the rejection region i.e F > 3.6823
x1` -x2`= 7-9.5= -2.5 Not significant as difference <3.68
x1`- x3`= 7-5= 2 Not significant as difference <3.68
x2` -x3`= 9.5-5= 4.5 Significant as difference > 3.68
3. The value of the F test statistic = 61
4. The p-value is < 0.00001
5. Conclusion
Since p-value < α, H0 is rejected.
6. Using alpha= .05, differences occurs between x2` and x3` as their difference is greater than 3.68
7. Fisher's Least Significant Difference value almost 0.869
Least Significant Difference= t( 0.025,15) √2s²/r s²= 0.50 r= 6 =n1=n2=n3
Least Significant Difference= 2.13 √ 2*0.50/ 6
=0.869
8.There is a significant difference between the means
x1` -x2`= 7-9.5= -2.5 Significant as difference > Least Significant Difference
x1`- x3`= 7-5= 2 Significant as difference > Least Significant Difference
x2` -x3`= 9.5-5= 4.5 Significant as difference > Least Significant Difference
Byers Auto is selling a new minivan that has a base price of $22,510. The
options total $8,062. The dealer's cost is 91% of the base price and 88% of
the options. What is the total dealer's cost.
26) Which of these equations is parallel to -3x - y = 1?
A) y
12 x – 5
3
B) y = 3x + 4
C) y
= -3x
1
D) y = x + 1
Answer:
y=-3x
Step-by-step explanation:
use the point slope formula to find the line parallel to -3x-y=1
Answer:
B) y = 3x+4
Step-by-step explanation:
A parallel line should include the same the same slope for it to be parallel
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
How many caramel apples are covered with sprinkles?
5
Step-by-step explanation:
add the fractions. you have to find the common denominator, 100/150+30/150+15/150= 145 so 5
1/30 of 150=5
The caramel apples that are covered with sprinkles are 5.
What is arithmetic operation?Arithmetic operation is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.
Now it is given that,
Olivia has 150 caramel apples.
Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
The rest are covered with sprinkles.
Let 'n' be the number of caramel apples are covered with sprinkles.
Thus,we can write
(2/3)*150 + (1/5)*150 + (1/10)*150 + n = 150
100 + 30 + 15 + n = 150
145 + n = 150
⇒ n = 150 - 145
⇒ n = 5
Thus, the caramel apples that are covered with sprinkles are 5.
To learn more about arithmetic operation :
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The complete question is,
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
find the value of x and the value of y ?
Answer:
B) x = 7, y = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
you can find the value of 'y' first by connecting the bases with another altitute measuring 4 units
you now have an isosceles triangle where each leg is 4 which makes the hypotenuse equal to 4[tex]\sqrt{2}[/tex]
to find 'x', it is the sum of 3 and 4
The perimeter of the square can be represented by the expression 32x + 48. Alana wants to
write an equivalent expression for the perimeter that shows the side length of the square.
Create an equivalent expression that Alana could write.
help