Answer:
Step-by-step explanation:
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
H₀: u = 50
H₁: u ≠ 50
Null hypothesis: The production line produce bags of candy has an average of exactly 50 candies per bag.
Alternative hypothesis: The production line produce bags of candy does not have an average of exactly 50 candies per bag.
Note that these hypotheses constitute a two-tailed test. The null hypothesis will be rejected if the sample mean is too big or if it is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.
Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).
SE = s / sqrt(n)
S.E = 1.0
Test Statistic
t = (x - u) / SE
t = - 2.0
DF = n - 1
D.F = 24
where s is the standard deviation of the sample, x is the sample mean, u is the hypothesized population mean, and n is the sample size.
Since we have a two-tailed test, the P-value is the probability that the t statistic having 24 degrees of freedom is less than -2.0 or greater than 2.0.
Thus, the P-value = 0.057
Statistic result
Interpret results. Since the P-value (0.057) is greater than the significance level (0.05), we failed to reject the null hypothesis.
From the above test we have sufficient evidence in the favor of the claim that the production line produce bags of candy with an average of exactly 50 candies per bag.
2. Medusa is looking for a TV screen big enough for her
and her head of snakes to enjoy her favorite soap opera.
Mngotoxo.
G TV is listed as being 60 inches. This
distance is act|ially the diagonal distance across the
screen. If thereen measures 36 inches in height, what
is the actual width of the screen to the nearest tenth of
an inch?
Answer:
48 Inches
Step-by-step explanation:
The diagonal of the TV = 60 Inches
Height of the Screen =36 Inches
We are to determine the actual width of the screen.
This TV across the diagonal forms a right triangle in which the diagonal is the hypotenuse.
We therefore use the Pythagorean Theorem to solve for the width of the screen.
Pythagorean Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
Let w be the width of the television
[tex]60^2=36^2+w^2\\w^2=60^2-36^2\\w^2=2304\\w=\sqrt{2304}\\ $Width of the television, w=48 inches[/tex]
Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively, and 7% of all plant employees work in the finishing department and are absent excessively.
1. If a plant employee is selected randomly, and F is the event "works in the finishing department," then P(F) = ________.
A. 0.07
B. 0.10
C. 0.20
D. 0.13
2. A plant employee is selected randomly; F is the event "works in the finishing department" and A is the event "is absent excessively." The probability of intersection of A and F, (P∩F) = __________.
A. 0.07
B. 0.10
C. 0.20
D. 0.23
Answer:
gvuhgvcgv
Step-by-step explanation:
hvhjbkuijbg
Select all the ordered pairs that are in the solution set for the inequality graphed below.
Question 2 options:
(0, 0)
(1, -2)
(-2, 3)
(1, 6)
Answer:
(0,0)
Step-by-step explanation:
I think thats the only answer because the line goes through that point.
(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}
Thanks 90 POINTS!!!!
Answer:
1
Step-by-step explanation:
(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}
PEMDAS
Work from the inside out
Change subtracting negatives to adding
(−4)+2–{(−5)–[(−7)+(−3)+8)]}
(−4)+2–{(−5)–[(-2)]}
(−4)+2–{-5+2}
(−4)+2–(−3)
Changing to adding
(−4)+2+3
-2+3
1
How many blocks with dimensions of 1/3 x1 x1 can fit in a unit cude
Answer:
3
Step-by-step explanation:
1 / (1/3) = 3
Question 3 (1 point)
The Base of a prallelogram is is multiplied by 3 and the height is multiplied by 6. The area of the new paralellogram is multiplied by
Answer: The area of the new parallelogram is multiplied by 18
Step-by-step explanation: Let the base and the height of the original parallelogram be ' x '
Base of the parallelogram = x
Height of the parallelogram = x
Area of parallelogram = l × b = lb
= x × x = x²
∴ Area of the original parallelogram = x²
∴ The base is multiplied by 3 = 3x
The height is multiplied by 6 = 6x
∴ Area of new parallelogram = 3x × 6x = 18x²
∴ The area of the new parallelogram is multiplied by = 18x²/ x²
= 18
Please mark this as brainliest
What was yesterday? Or tim
Answer:
Tuesday may 18 2020
Step-by-step explanation:
NEED HELP PLS
You were shown into a great cavern. “Including yourself, there are 350 people in this cavern,” the genie said.
You looked around and said, “These don’t look like people, they look like mummies.”
“Yes they are mummies, little one. If you can’t solve my next puzzle, you may become one of them. You will join the mummies. Then you will all line up in a single line. I will go down the line and count 1, 2, 3, 4, 5, 6, and so on. Every even numbered person (or mummy) will step out of line. Whenever I reach the end of the line, I will go back to the beginning of the line and continue counting from wherever I left off. The even numbers will still step out of line. The last person or mummy left in line will get the buried treasure. You can stand anywhere you want, but choose wisely.”
The genie then shouted, “Line up,” as you worked furiously trying to figure out what position to be in. The mummies all began to shuffle into position. The genie turned to you and said, “Well, where do you wish to stand?”
What position in line is the lucky winner?
Answer:
First
Step-by-step explanation:
The first person in the line will always have an odd position, not an even one. They will be the only one left.
Is the quotient of 5 and 1/2 greater than or less than 5? Explain your answer in complete sentences.
Answer: Greater than 5
Step-by-step explanation:
The quotient of 5 and .5 is 10.
5/0.5 = 10
Whenever you divide a whole number by a fraction, the quotient will always be larger than the whole number
Based on the graph, explain why or why not
Answer:
No the given factors won't work. They are the opposite of what they should be.
Step-by-step explanation: The "zeros" of the graph are (-5,0) and (2,0) If you use substitute those x values in the factors, (-5-5) or (2+2) and put them into the function the results are false.
To get f(x)=0 the factors should be (x+5) and (x-2)
What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78?
Answer:
residual cost = $24.57
Step-by-step explanation:
The residual is the difference between the observed value of y and the predicted value of y. The least square regression equation was used to predict cost in dollars per barrel of jet fuel from the cost , in dollars ,per barrel of crude oil. The residual value is the difference between the observed or measured value and the predicted value of the regression model . The predicted value is gotten from the regression equation.
y = 2 + 6/7 x
where
x = cost of a barrel of crude oil
x = $60
y = 2 + 6/7 × 60
y = 2 + 360/7
y = 2 + 51.4285714286
y = 53.4285714286
y = $53. 43
predicted cost = $53. 43
Measured cost = $78
residual = observed value - predicted value
residual = 78 - 53.43
residual cost = $24.57
The residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78 is $24.57
What is the residual value?The residual value is the difference between the observed or measured value and the predicted value of the regression model.
Given that a barrel of crude oil costs $60 and a barrel of jet fuel costs $78.
According to the question, we have;
y = 2 + 6/7 x
where x = the cost of a barrel of crude oil
x = $60
Substitute;
y = 2 + 6/7 × 60
y = 2 + 360/7
y = 2 + 51.4285714286
y = 53.4285714286
y = $53. 43
The predicted cost is $53. 43
Measured cost = $78
Then the residual = observed value - predicted value
The residual = 78 - 53.43
Residual cost = $24.57
Hence, the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78 is $24.57
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The complete question is
The residual is the difference between the observed value of y and the predicted value of y. The least square regression equation was used to predict the cost in dollars per barrel of jet fuel from the cost, in dollars, per barrel of crude oil. The predicted value is gotten from the regression equation. What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78?
Suppose you regress the natural log of total family expenditures on household size using observations of households from the 2013 Consumer Expenditure Survey:
. reg Intotexppq fam_size
Source SS df MS Number of obs = 6,766
Model F(1, 6764) = 634.72
Residual Prob > F = 0.0000
R-squared = 0.0858
Adj R-squared = 0.0857
Total | 5540.26944 6,765 818960744 Root MSE = .86534
Intotexppp | Coef. Std. Err. t P>I t I |[95% Conf. Interval]
fam_size | .1767089 .007014 25.19 0.000
cons | .0203324 404.71 0.000
From the information given, you should be able to answer the following questions about the regression:
• (4) Interpret your estimate of the coefficient on family size.
• (4) Compute the 95% confidence interval for the coefficient on family size.
• (6) Compute the estimate of the intercept of the regression line.
• (5) Compute the Explained Sum of Squares and Residual Sum of Squares of the model.
• (6) How would you assess whether the error terms in your model were homoskedastic or heteroskedastic? Include a picture if you need to.
Answer:
Step-by-step explanation:
Please check below in the attached, you will see answer to given questions, thank you, I hope it helps.
if A is a square matrix such that A^2=2I,then A^-1=?
[tex]A^2=2I[/tex]
Recall that [tex]I=AA^{-1}=A^{-1}A[/tex], so
[tex]A^2=2(A^{-1}A)[/tex]
Multiply on the right by [tex]A^{-1}[/tex] and regroup terms:
[tex]A^2A^{-1}=2(A^{-1}A)A^{-1}[/tex]
[tex]A(AA^{-1})=2A^{-1}(AA^{-1})[/tex]
[tex]A=2A^{-1}[/tex]
and finally solve for [tex]A^{-1}[/tex]:
[tex]\boxed{A^{-1}=\dfrac12A}[/tex]
There are 4,500 pounds of fruit in john’s store. 1200 pounds of the fruit is apples and half as much is mangoes. The weight of pears is three times the weight of mangoes. If the rest of the fruits are grapefruits, what is the total weight of grapefruits?
Answer:
the total weight of the grapefruits is 2100 pounds
Step-by-step explanation:
apples = a
mangoes = a/2
weight of pears=3*a/2
grapefruits=g
a+a/2=1200
3/2a=1200
1.5a=1200
a=800
800+400+1200+g=4500
g=2100
Therefore, the total weight of the grapefruits is 2100 pounds
I hope this helped and have a good rest of your day!
Ruth has pennies and dimes in her pocket. The number of dimes is twelve less than twice the number of pennies. Let p represent the number of pennies. Write an expression for the number of dimes.
Which value of k will make this relationship NOT a function? {(−7, 2), (−1, 0), (4, 8), (k, 0)}
Answer:
In this example, if k = -7, this relationship is not a function, since x = -7 would have both y = 2 and y = 0.
Step-by-step explanation:
Requirement to be a function:
For a relationship to be a function, all values of x must have only one corresponding value of y.
In this question:
For x = -7, y = 2
For x = -1, y = 0
For x = 4, y = 0
For x = k, y = 0
A value of x must not have more than 1 value of y.
In this example, if k = -7, this relationship is not a function, since x = -7 would have both y = 2 and y = 0.
Please help
There are 7 seats in the first row of a theater, 9 seats in the second row, and 11 seats in the third row. This pattern continues for each row in the theater. Write a rule for an, the number of seats in the nth row.
Answer:
an=n+2
Step-by-step explanation:
find the percent if the whole is 4700 and the part is 305 and one half.
round to nearest tenth
Answer:
6.5%
Step-by-step explanation:
305.5/4700=0.065=6.5%
To approach the runway, a pilot of a small plane must begin a 5 degree descent starting from a height of 1407 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?
Answer:
3.0 miles
Step-by-step explanation:
The tangent of the angle relates the opposite side (altitude) to the adjacent side (distance to runway):
tan(5°) = (altitude)/(distance to runway)
Then we have ...
distance to runway = (1407 ft)/(tan 5°) ≈ 16,082 ft
In miles, that is ...
distance to runway = (16082 ft)/(5280 ft/mi) = 3.0458 mi
The pilot is 3.0 miles from the runway at the start of his approach.
what is the volume please answer and EXPLAIN YOUR answer
Answer:
2268mm^3
Step-by-step explanation:
To find the volume of the whole shape, an easier way would be to find the volume of each seperate prism and add them together.
The top/smaller prism has dimensions of 4mm x 3mm x 9mm.
Multiply together and you get (4mm x 3mm) x 9mm = 12mm x 9mm = 108mm
The bottom/bigger prism has the dimensions of 12mm x 9mm x 20mm
Multiply together and you get (12mm x 9mm) x 20mm = 108mm X 20mm = 2160mm
Add 108mm + 2160mm and you get the final volume of 2268mm^3
*Because you're working with volume you always add a ^3 after your measurement (units cubed)
I NEED HELP QUICK PLEASE Segment Line segment X Y is dilated using a scale factor of Two-thirds through P. Which segment shows the correct result of the dilation?
Point P is the center of dilation. Line a is 4 units from point P, line B is 2 units from line a, line c is 2 units from line b, line d is 2 units from line c, line X Y is 2 units from line d.
line a
line b
line c
line d
Answer:
C
Step-by-step explanation:
Since lines a, b, c, d, and XY are all parallel to each other, and are a part of the same triangle, they are all similar. Thus, we can compare rates -- the distance between P to Y is 12, and 2/3 of 12 is 8, so we need to find that length, which is C
The segment of line c shows the correct result of the dilation. Hence, the correct answer is option C.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Since lines a, b, c, d, and XY are all parallel and part of the same triangle, they are all similar. Thus, we can compare rates the distance between P to Y is 12, and 2/3 of 12 is 8, which is C.
Hence, the correct answer is option C.
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Solve the following: 2(5x-3)
Answer:
The vale of x is 3/5.
Step-by-step explanation:
First you have to expand out :
[tex]2(5x - 3)[/tex]
[tex] = 2(5x) - 2(3)[/tex]
[tex] = 10x - 6[/tex]
Next you have to solve it by adding 6 to both sides :
Let expression = 0,
[tex]10x - 6 = 0[/tex]
[tex]10x - 6 + 6 = 0 + 6[/tex]
[tex]10x = 6[/tex]
[tex]x = \frac{6}{10} [/tex]
[tex]x = \frac{3}{5} [/tex]
The radius of a circle is 7 cm.find its area to the nearest 10th
Answer:
A = 153.9 cm^2
Step-by-step explanation:
The formula for the area of a circle of radius r is A = (pi)(r)^2.
Here, with r = 7 cm, the area is A = (pi)(7 cm)^2 = 49(pi)(cm)^2, or (to the nearest 10th): A = 153.9 cm^2
Which statement(s) can be interpreted from the equation for a real estate value, V 228,000(1.03)' where V) represents the value of the real estate and t represents the time in years?
The equation is an exponential growth equation
The equation is an exponential decay equation
The equation is neither exponential decay nor exponential growth
$228.000 represents the initial cost of a real estate that appreciates 3% per year over the course of years
$228.000 represents the initial cost of a real estate that appreciates 30% per year over the course of years
$228.000 represents the initial cost of a real estate that depreciates 3% per year over the course of t years
$228.000 represents the initial cost of a real estate that depreciates 30% per year over the course of years
Answer:
The statements that are true for this equation are:
- The equation is an exponential growth equation.
- $228.000 represents the initial cost of a real estate that appreciates 3% per year over the course of years.
Step-by-step explanation:
We have the equation
[tex]V= 228,000(1.03)^t[/tex]
Where V: value of the real state and t: time in years.
As t is always positive in this case, and 1.03 is larger than 1, the value V will rise exponentially. The equation is an exponential growth equation.
The difference in value for each year is:
[tex]\dfrac{V_{t+1}}{V_t}=\dfrac{1.03^{t+1}}{1.03^t}=1.03^{t+1-t}=1.03\\\\\\V_{t+1}-V{t}=1.03V_t-V_t=0.03V_t[/tex]
We can conclude that the value increases each year 0.03 (3%) from the previous year value, starting from $228,000 in the year t=0.
$228.000 represents the initial cost of a real estate that appreciates 3% per year over the course of years.
What is the median? I need this turned in aaa on but I don’t get it
Answer: 7,500 passengers
Step-by-step explanation: Let's put the numbers from least to greatest...
5,000, 6,000, (7,000, 8,000,) 9,000, 10,000
Since there is an even number of numbers we will have two medians for the time being...
7,000 + 8,000 = 15,000
15,000 ÷ 2 = 7,500
Therefore, the median is 7,500, there are 7,500 passengers in total.
I hope this helps!
Find the GCF of 260,80,50
Answer:
10
Step-by-step explanation:
UJUU J
Given p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24) = 0
a) Check by the remainder or factor theorems which of these is a factor of the polynomial
p(a): (a - 1), (a - 2) or (a + 4).
b) By the remainder theorem, state the remainder when p(a) is divided by the binomial
which are not its factors.
c) Use the factor from (a) to divide p(a) by long division.
d) Use the factor from (a) to divide p(a) by synthetic division. (your answer should
correspond with that from (c)).
Answer:
Plese read the complete procedure below:
Step-by-step explanation:
The polynomial is p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24)
a)
1 -6 3 26 -24 | 1
1 -5 -2 24
1 -5 -2 24 0
The remainder is zero, then (a-1) is a factor of the polynomial
b)
1 -6 3 26 -24 | 2
2 -8 10 72
1 -4 5 36 48
When p(a) is divided by (a-2) the remainder 28/p(a)
1 -6 3 26 -24 | - 4
-4 40 172 -792
1 -10 43 198 -816
When p(a) is divided by (a-2) the remainder -816/p(a)
c) I attached an image of the long division below:
WILL MARK YOU AS BRAINLIEST HELP PLZ
Answer:
896+32=928in
Step-by-step explanation:
SOMEONE HELP ????
Select steps that could be used to solve the equation 1+ 3x = -x+4
Answer:
a) add x , subtract 1 and divide by 4
The solution of given equation [tex]x = \frac{3}{4}[/tex]
Step-by-step explanation:
Given equation 1+3 x = -x +4
Add 'x' on both sides , we get
1 + 3 x + x = - x + x +4
1 + 4 x = 4
Subtract '1' on both sides , we get
1+4 x -1 = 4 -1
4 x = 3
Dividing '4' on both sides, we get
[tex]\frac{4x}{4} = \frac{3}{4}[/tex]
[tex]x = \frac{3}{4}[/tex]
Final answer:-
The solution of given equation [tex]x = \frac{3}{4}[/tex]
Rearrange the equation so u is the independent variable.
-12u + 13 = 8w - 3
y = __
15 POINTS HELP ME !
Answer: U = 8w-16/-12
Step-by-step explanation:
-12u + 13 = 8w -3
-12u + 13 - 13 = 8w -3 -13
-12u = 8w -16
u = 8w - 16/ -12