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Answer:
(a) C = 92/n
Step-by-step explanation:
The "inversely proportional" relation is represented by the equation ...
C = k/n
The value of k can be found from the given values of C and n.
23 = k/4
23×4 = k = 92
Then the relationship is ...
C = 92/n
A train traveling at 30 miles per hour reaches a tunnel which is 9 times as long as the train. If the train takes 2 minutes to completely clear the tunnel, how long is the train? (1 mile = 5,280ft)
The least-squares regression equation
y = 8.5 + 69.5x can be used to predict the monthly cost for cell phone service with x phone lines. The list below shows the number of phone lines and the actual cost.
(1, $90)
(2, $150)
(3, $200)
(4, $295)
(5, $350)
Calculate the residuals for 2 and 5 phone lines, to the nearest cent.
The residual for 2 phone lines is $___
The residual for 5 phone lines is $___
Answer:
First one: 2.5
Second: -6
8.5+69.5(5) = 147.5
150 - 147.5 = 2.5
8.5 + 69.5(5) = 356
350 - 356 = -6
ED2021
The residual for 2 phone lines is $2.5.
The residual for 5 phone lines is -$6.
What is the residual in a least-square regression equation?
The residual is the vertical distance separating the observed point from your expected y-value, or more simply put, it is the difference between the actual y and the predicted y.
How to solve the question?In the question, we are asked to find the residual for 2 and 5 lines using the least-squares regression equation y = 8.5 + 69.5x and the actual costs given to us.
We know that the residual is the vertical distance separating the observed point from your expected y-value, or more simply put, it is the difference between the actual y and the predicted y.
Thus for 2 phone lines:-
Actual Cost = $150.
Predicted Cost, y = 8.5 + 69.5*2 = 147.5.
Residual = Actual Cost - Predicted Cost = 150 - 147.5 = $2.5.
Thus, the residual for 2 phone lines is $2.5.
Thus for 5 phone lines:-
Actual Cost = $350.
Predicted Cost, y = 8.5 + 69.5*2 = 356.
Residual = Actual Cost - Predicted Cost = 350 - 356 = -$6.
Thus, the residual for 2 phone lines is -$6.
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Can someone please help me
Researchers would like to assess the overall health of white pine trees in a state park. Which of the following
methods for choosing the trees to assess would be considered a convenience sample?
O A ranger hires employees to assess every tree in the park.
O The 100 trees closest to a ranger station are assessed for damage.
O Agrid map of the park is used, and 100 random points on the grid are chosen and used to select the trees to
assess
O Each tree in the state park is tagged with a number, and 100 random numbers that represent the trees are
selected and assessed for damage.
Answer:
The 100 trees closest to a ranger station are assessed for damage.
Step-by-step explanation:
Convenience samples are samples taken from only around the focal point.
Option B is correct, The 100 trees closest to a ranger station are assessed for damage.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
A convenience sample is a non-random method of sampling that involves selecting subjects that are easy to access or readily available.
Of the methods listed, the convenience sample is the one where the trees are selected based on their proximity to a ranger station:
The 100 trees closest to a ranger station are assessed for damage.
This method is a convenience sample because it does not involve random selection of trees.
Instead, the trees are chosen based on their proximity to a specific location.
This can introduce bias into the sample, as trees near the ranger station may not be representative of the overall health of white pine trees in the state park.
Hence, Option B is correct, The 100 trees closest to a ranger station are assessed for damage.
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Which graph shows the solution to the system of linear inequalities?
x - 4y< 4
-
Y
Please help ASAP
Answer:
b
Step-by-step explanation:
i had it
3x² 2x+4 =0
What's the number of Solutions?
3x-2x+4=0 how many solutions???
Answer:
it's no solution
Step-by-step explanation:
3(x^2 - 2*1/3*x+1/9) + 11/3 > 0
so it's no solution
which function is positive for the entire interval (-3,-2)
Answer:
There can be several such functions; however, the basic condition that needs to be met for a function to be positive for the interval [–3, –2] is that it should be multiplied by (-1) Hence, one such function that is positive for the entire interval is f(x) = -x
Step-by-step explanation:
Find the length of the missing sides. Round your answers to the nearest tenth. 8 y x 21
Answer:
x = 20.8
y = 22.3
Step-by-step explanation:
tan(21) = 8/x
or, x = 8/tan(21)
or, x = 20.8 (rounded to the nearest tenth)
sin(21) = 8/y
or, y = 8/sin(21)
or, y = 22.3 (rounded to the nearest tenth)
Answered by GAUTHMATH
Given the following data from a repeated-measures design study examining the effect of a treatment by measuring a group of 9 participants before and after they received treatment:
Participant Before After
A 8 7
B 7 5
C 6 6
D 7 6
E 9 7
F 8 5
G 5 4
H 9 4
I 7 4
a. Calculate the difference scores and MD.
b. Compute SS, sample variance, and estimated standard error.
c. Is there a significant treatment effect?
Answer:
MD = 2
SS = 18
SAMPLE VARIANCE = 2.25
STANDARD ERROR = 0.5
Step-by-step explanation:
Given :
A 8 7
B 7 5
C 6 6
D 7 6
E 9 7
F 8 5
G 5 4
H 9 4
I 7 4
Difference, d = Before - After
______ d
A 8 7 __ 1
B 7 5 __ 2
C 6 6 __ 0
D 7 6 __ 1
E 9 7 __ 2
F 8 5 __ 3
G 5 4 __ 1
H 9 4 __5
I 7 4 ___3
The mean of difference, MD ;
MD = Σd/ n = (1+2+0+1+2+3+1+5+3) / 9 = 18 / 9 = 2
The sum of square, SS ;
(1 - 2)^2 + (2 - 2)^2 + (0 - 2)^2 + (1 - 2)^2 + (2 - 2)^2 + (3 - 2)^2 + (1 - 2)^2 + (5 - 2)^2 + (3 - 2)^2 = 18
Sample variance, S² = SS/(N-1) = 18 / (9 - 1) = 18 / 8 = 2.25
Sample standard deviation, S = √Variance = √2.25 = 1.5
Standard Error, S.E = S / √n = 1.5 / √9 = 0.5
Test statistic : MD / S.E = 2 / 0.5 = 4
We test at α = 0.05 since no α - value is stated in the question.
Critical value at 0.05, df = 8 ;
Critical value = 2.306
Since; Test statistic > Critical value, then result is significant at α = 0.05
Which expression is equivalent to 3√x10
Answer:
Hes correct ^
Step-by-step explanation:
A veggie wrap at David's Deli is composed of 33 different vegetables and 22 different condiments wrapped up in a tortilla. If there are 66 vegetables, 66 condiments, and 55 types of tortilla available, how many different veggie wraps can be made
Answer:
The answer is "[tex]7.21 \times 10^{37}[/tex]".
Step-by-step explanation:
[tex]\to ^{n}_{C_r}=\frac{n!}{r!(n-r)!}[/tex]
[tex]=^{66}_{C_{33}} \times ^{66}_{C_{22}} \times ^{55}_{C_{1}} \\\\=\frac{66!}{33! (66-33)!} \times \frac{66!}{22! (66-22)!} \times \frac{55!}{1! (55-1)!}\\\\=\frac{66!}{33! (33)!} \times \frac{66!}{22! (44)!} \times \frac{55!}{1! (54)!}\\\\=\frac{66!}{33! (33)!} \times \frac{66!}{22! (44)!} \times \frac{55\times 54!}{1! (54)!}\\\\=\frac{66!}{33! (33)!} \times \frac{66!}{22! (44)!} \times 55\\\\= 7219428434016265740 \times 182183167981760400\times 55\\\\[/tex]
[tex]= 7.21 \times 10^{18} \times 1.82\times10^{17}\times 55\\\\= 7.21 \times 10^{35} \times 1.82\times 55\\\\=721.721 \times 10^{35}\\\\=7.21\times 10^{37}[/tex]
f(x) = - 2x
g(x) = 8x^2 - 5x + 7
Find (f • g)(x).
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Answer:
(f•g)(x) = -16x^3 +10x^2 -14x
Step-by-step explanation:
(f•g)(x) = f(x)•g(x) = (-2x)(8x^2 -5x +7)
Use the distributive property:
(f•g)(x) = -16x^3 +10x^2 -14x
A rectangle has a length of 27 inches less than 4 times it’s width. If the area of the rectangle is 2790 square inches, find the length of the rectangle
Let the width = x
The length would be 4x-27
Area = length x width
2790 = (4x-27) * x
Expand:
2790 = 4x^2 - 27x
Subtract 2790 from both sides:
4x^2 - 27x - 2790 = 0
Use the quadratic formula to solve for the positive value of x:
X = -(-27) + sqrt(-27^2 -4*4(-2790)) /(2*4)
X = 30
Now replace x with 30 in the lengths:
Width = x = 30 inches
Length = 4x -27 = 4(30) -27 = 120-27 = 93 inches
in a 5 liter milk jar water and milk are in the ratio 2:3. If 1 liter of milk and 1 liter of water is added. what will be the new ratio.
Give me answer with steps . and the answer is 3:4. but how I want to know
Answer:
ratio of water and milk=2:3
i.e. water=2
milk=3
now adding 1 liter of water in 2
2+1=3
and 1 liter of milk in 3
3+1=4
hence,
the new ratio is 3:4
Step-by-step explanation:
i hope this will help
plz mark as brainliest
Complete the statement. A critical value is _____________. Choose the correct answer below. A. A critical value is how far away our sample statistic can be from the true population parameter with a certain level of confidence. B. A critical value is the probability of obtaining a sample statistic like the one obtained from the sample or something more unusual if the null hypothesis is true. C. A critical value is the number of standard errors (or standard deviations) to move from the mean of a sampling distribution to correspond to a specified level of confidence. D. A critical value is the value that best estimates a population parameter.
Answer:
A. A critical value is how far away our sample statistic can be from the true population parameter with a certain level of confidence.
Step-by-step explanation:
Test of a hypothesis:
When we are testing a hypothesis, we have a null hypothesis and an alternative hypothesis, and the conclusion depends on the test statistic, given by:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
The test statistic measures the number of standard errors that we have to move away from the sample mean, and the critical value is how much we can be far from the population parameter with a certain level of confidence, that is, before a certain value we do not reject the null hypothesis, after the value we reject, and this value is the critical value, and thus the correct answer is given by option a.
Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) 1/((1 + 9x)^4) ≈ 1 − 36x
Answer:
Part 1)
See Below.
Part 2)
[tex]\displaystyle (-0.179, -0.178) \cup (-0.010, 0.012)[/tex]
Step-by-step explanation:
Part 1)
The linear approximation L for a function f at the point x = a is given by:
[tex]\displaystyle L \approx f'(a)(x-a) + f(a)[/tex]
We want to verify that the expression:
[tex]1-36x[/tex]
Is the linear approximation for the function:
[tex]\displaystyle f(x) = \frac{1}{(1+9x)^4}[/tex]
At x = 0.
So, find f'(x). We can use the chain rule:
[tex]\displaystyle f'(x) = -4(1+9x)^{-4-1}\cdot (9)[/tex]
Simplify. Hence:
[tex]\displaystyle f'(x) = -\frac{36}{(1+9x)^{5}}[/tex]
Then the slope of the linear approximation at x = 0 will be:
[tex]\displaystyle f'(1) = -\frac{36}{(1+9(0))^5} = -36[/tex]
And the value of the function at x = 0 is:
[tex]\displaystyle f(0) = \frac{1}{(1+9(0))^4} = 1[/tex]
Thus, the linear approximation will be:
[tex]\displaystyle L = (-36)(x-(0)) + 1 = 1 - 36x[/tex]
Hence verified.
Part B)
We want to determine the values of x for which the linear approximation L is accurate to within 0.1.
In other words:
[tex]\displaystyle \left| f(x) - L(x) \right | \leq 0.1[/tex]
By definition:
[tex]\displaystyle -0.1\leq f(x) - L(x) \leq 0.1[/tex]
Therefore:
[tex]\displaystyle -0.1 \leq \left(\frac{1}{(1+9x)^4} \right) - (1-36x) \leq 0.1[/tex]
We can solve this by using a graphing calculator. Please refer to the graph shown below.
We can see that the inequality is true (i.e. the graph is between y = 0.1 and y = -0.1) for x values between -0.179 and -0.178 as well as -0.010 and 0.012.
In interval notation:
[tex]\displaystyle (-0.179, -0.178) \cup (-0.010, 0.012)[/tex]
How to divided 245 by 70
Show your work
Answer:
Step-by-step explanation:
Hello!
2 4 5 ∟ 70
-2 1 3, 5
------------------------
3 5 0
3 5 0
- --------------------------------
0 0 0
Ursula has a new team member, Tom, who came from another worksite. Tom is constantly trying to make new suggestions and explain how things used to work his old job. How should Ursula respond? a) Avoid him as much as possible b) Nod her head but ignore the details c) Politely suggest that he stop making new suggestions d) Listen to his suggestions to see what might work
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Answer:
d) Listen to his suggestions to see what might work
Step-by-step explanation:
A supervisor or team leader cannot be expected to know everything, or be completely up-to-date with the latest innovations. A lot of what comprises "best practice" is developed on the job, or propagated by personnel transfers or word of mouth. A different point of view can often be beneficial, planting the seed for a beneficial change, even if the specific suggestion is not workable.
Ursula should pay attention to all of her team members, Tom included.
1. MATHEMATICS The sum of ages of Bola, Dada and Ayo is 32 years. After sharing a sum of money in ratio of their ages, if Bola gets N400, Dada get-A400 and Ayo get N800. How old is Bola?
Bola will be 8 years old.
Let Bola's age be x
Dada's age be y
Ayo's age be z
If the sum of ages of Bola, Dada, and Ayo is 32 years, then;
x + y + z = 32
If they share a sum of money in the ratio of their ages, then the ratio of their ages will be x: y: z
Also if Bola gets N400, Dada get-N400 and Ayo get N800, then the total amount of money shared will be expressed as:
T = 400 + 400 + 800
T = N1600
Next is to get the age of Bola
[tex]\frac{age \ of \ bola}{32}* Total \ amount \ shared = Bola's \ Share[/tex]
Substitute the required variables and values into the formula;
[tex]\frac{x}{32}*1600= 400\\50x=400\\x=\frac{400}{50}\\x=8[/tex]
This shows that Bola is 8 years old
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Find the length of the missing side
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Answer:
short leg: x; long leg: 12; hypotenuse: yStep-by-step explanation:
The sides of the triangle can be read from the figure:
short leg: xlong leg: 12hypotenuse: yThe ratios tell you ...
long leg = x√3 = 12
x = 12/√3 = 4√3 . . . . . divide by √3. (same as multiply by (√3)/3)
2x = 2·4√3 = 8√3
Then the missing sides are ...
short leg: 4√3long leg: 12hypotenuse: 8√3(abc - 4d) + (abc + 4d)
Can you solve it please?
Answer:
2abc
Step-by-step explanation:
●●●●○○○○□□□□■■■■
Answer:
=> 2abc
Step-by-step explanation:
=> (abc - 4d) + (abc + 4d)
=> abc - 4d + abc + 4d
=> abc + abc
=> 2 abc
14. What, if any, is a real solution to 5x +1 +9 - 3?
1
C
D. There is no real solution.
I believe the question is:
What is the solution to 5x + 1 +9 - 3
In this case, we solve for X.
5x + 1 + 9 - 3
5x + 10 - 3
5x + 7
5x = -7
x = -7/5
Unfortunately, It is not one of the answer choices it looks like.
Maybe you should reword your question but hopefully this is correct.
If you meant to say 5x+1 + 9 < 3 --> 5x + 10 < 3 --> 5x < -7 --> x < -7/5
The value of x in a given expression is -7/5.
We have given that,
5x + 1 + 9 - 3
We have to determine the value of x.
What is the variable?A variable is any factor, trait, or condition that can exist in differing amounts or types. Scientists try to figure out how the natural world works
In this case, we solve for X.
5x + 1 + 9 - 3
5x + 10 - 3
5x + 7
5x = -7
x = -7/5
If you meant to say 5x+1 + 9 < 3 --> 5x + 10 < 3 --> 5x < -7 --> x < -7/5.
Therefore we get the value of x is -7/5.
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Solve 3(x + 2) > x.
answer
Answer:
Step-by-step explanation:
3(x + 2) > x
3x + 6 > x
3x - 3x + 6 > x - 3x
6 > -2x
6/-2 < -2x/-2
-3< x
HELLO PLEASE HELP??
which equation represents the circle described? 1. the radius is 2 units 2. the center of the circle is at (5,-6) (x+5)^2+ (y- 6)^2 =4
(x - 5)^2 + ( y + 6)^2 = 4
(x + 5)^2 + (y - 6)^2 =2
(x - 5)^2 + (y + 6)^2 =2
Answer:
(x-5)^2 + (y+6)^2 = 4
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-5)^2 + (y- -6)^2 = 2^2
(x-5)^2 + (y+6)^2 = 4
A car is traveling at a constant speed of 60 miles per hour. How many feet does it travel in 10 seconds?
Answer:
880 ft.
Step-by-step explanation:
First! We have to establish how many feet the car travels per hour.
60 (number of miles per hour) x 5280 (number of feet in a mile) = 316,800 (number of feet in an hour)
Next, since we know that there are 60 minutes in an hour we are going to divide our "number of feet in an hour" by 60 to get the "number of feet in a minute"
316,800 ÷ 60 = 5280
Once again, we are going to divide our "number of feet in a minute" by 60 to get the "number of feet per second".
5280 ÷ 60 = 88
Finally! We will multiple our "number of feet per second" by 10 to get how many feet the car can travel in 10 seconds.
88 × 10 = 880
So! Our car can travel 880 feet in 10 seconds.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
collection of fossils in chronological order in the sedimentary layer which are found through radioactive
Answer:
what is the question man
What is the area of a trapezoid.. base 14in and 7in height is 5in?
if the formula is [tex]\frac{(B+b)}{2} .h[/tex] we just need to plug in the values
21/2 = 10.5 x 5 = 52.5
hope it helps :)
Answer:
A = 52.5 in^2
Step-by-step explanation:
The area of a trapezoid is
A = 1/2 (b1+b2)h
where b1 and b2 are the bases and h is the height
A = 1/2 ( 14+7)*5
A = 105/2
A = 52.5 in^2
HELP NEEDED PLEASE!!!
Answer:
B - They are symmetric over the y-axis
Step-by-step explanation:
A - I couldn't find a way to explain this one
B - Even functions have graph symmetry across the y-axis, I'm not sure if you looking for multiple answers, but I got B as one of them.
C - An odd function has rotational symmetry, and even function has reflects
D - An even function is symmetric over the y-axis not the x-axis
beverly found a magic bean if she puts it in the soil every single day it will grow 4 cm after how many days will it grow 14.56 meters tall?
Answer:
It will take 364 days
Step-by-step explanation:
First, convert:
1 meter = 100 cm
14.56 meters = 1456 cm
1456 cm is how tall it is at the end, to find out how many days it takes to grow, divide 1456 by 4 (how much it grows every day).
1456/4 = 364 days
The number of days to grow by 14.56 meters is 364 days.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The number of days to grow is 14.56 meters will be calculated as:-
1 meter = 100 cm
14.56 meters = 1456 cm
1456 cm is how tall it is at the end, to find out how many days it takes to grow, divide 1456 by 4 (how much it grows every day).
1456/4 = 364 days
Therefore, the number of days will be 364.
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Can I get some help with this question?
Answer:
18
Step-by-step explanation:
Because angle A and C are equal, it is an isoceles traingle.
This means that side BA is equal to side BC.
Thus, you can set 6x equal to 3x + 9.
Solving that gives you x = 3.
6(3) = 18 3(3) +9 = 18
Answer:
B. 18
Step-by-step explanation:
Since angles A and C are congruent, then sides BA and BC are congruent.
6x = 3x + 9
3x = 9
x = 3
AB = 6x = 6(3) = 18
Answer: B. 18
A publisher reports that 54% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 200 found that 44% of the readers owned a personal computer. Is there sufficient evidence at the 0.10 level to support the executive's claim
The null and alternate hypotheses are
H0 : u = 0.44 vs Ha: u > 0.44
Null hypothesis: 44% of readers own a personal computer.
Alternate Hypothesis : greater than 44% of readers own a personal computer.
This is one tailed test and the critical region for this one tailed test for the significance level 0.1 is Z > ±1.28
The given values are
p1= 0.54 , p2= 0.44 ; q2= 1-p2= 0.56
Using z test
Z = p1-p2/√p2(1-p2)/n
Z= 0.54-0.44/ √0.44*0.56/200
z= =0.1/ 0.03509
z= 2.849
Since the calculated value of Z= 2.849 is greater than Z= 1.28 reject the null hypothesis therefore there is sufficient evidence to support the executive's claim.
Null hypothesis is rejected
There is sufficient evidence to support the executive's claim at 0.10 significance level.
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