Answer:
option 3 is the answer.
What the answer question
Answer:
∠WUV
Step-by-step explanation:
Start from the top, the meeting point of the rays is the angle U
Simplify 4 + (−3 − 8)
Answer:
-7
Step-by-step explanation:
4 + (−3 − 8)
PEMDAS
Parentheses first
4 + (-11)
Add and subtract next
-7
Answer:
first I'm using BODMAS
4+(-11)
= -7
hope it helps
1- if angle A = 30, then its complementary is -- and its supplementary is
2- If a triangle has an area of 360, and its base = 10, what is its height?
3- if two triangles have the same angle measures, then the triangles are
4. What is the definition of similar triangles?
5- One of triangle congruence tests is SSS, what are 3 other congruent tests
6- What is a regular polygon?
7- If a rectangle has an area of 240 and a length of 24, what is the width?
8- Colinear points lie on the same
9- 3 non-colinear points determine a
10- The sum of 2 supplementary angles add up to -------
1 - complementary = 90- 30 = 60
suplementary = 180- 30 = 150
2 - area = hb/2 = 360 = hb/2 = h = 72
3 - similar
4- see number 3
5 - asa, ssa, sas
6 - polygon that had all equal angle measures and sides (equiangular and equilateral)
7 - length x width = area so
240 / 24 = 10
8 - line
9 - triangle
10 - 180, as see in question 1
vote me brainliest ):>
find the perimeter of the polygon
Answer:
100
Step-by-step explanation:
Okay so I'm not 100% sure but I think it's 100 because:
Angle B and D are the same, so the 12.5 areas will be the same (I honestly suck at explaining I'm really sorry.) But, if you add the sides from angle B and D it will be 50 because 12.5 + 12.5 + 12.5 + 12.5 (or 12.5 * 4). Meanwhile, For angle A and C, both outsides are the same as the other side.
I'm so sorry I can't explain the problem well but once you add them:
11.5 + 11.5 + 12.5 + 12.5 + 12.5 + 12.5 + 13.5 + 13.5 = 100
Please find the missing side of the triangle and round the answer to the nearest tenth. Thanks.
Answer:
39.6
Step-by-step explanation:
Given in the right angled triangle above are:
Ѳ = 49°,
Adjacent length = 26
Hypotenuse length = x
To find x in the right angled triangle given above, apply the trigonometric formula, cos Ѳ = adjacent length/hypotenuse length
Thus,
[tex] cos(49) = \frac{26}{x} [/tex]
Multiply both sides by x
[tex] cos(49)*x = \frac{26}{x}*x [/tex]
[tex] cos(49)*x = 26 [/tex]
[tex] 0.6561*x = 26 [/tex]
Divide both sides by 0.6561 to find x
[tex] \frac{0.6561*x}{0.6561} = \frac{26}{0.6561} [/tex]
[tex] x = \frac{26}{0.6561} [/tex]
[tex] x = \frac{26}{0.6561} [/tex]
[tex] x = 39.63 [/tex]
x = 39.6 (to nearest tenth)
Consider the function below. (If an answer does not exist, enter DNE.) F(x) = x 9 − x (a) Find the interval of increase. (Enter your answer using interval notation.)
Answer:
[tex](-\infty, -0.76) \cup (0.76, \infty)[/tex]
Step-by-step explanation:
The first step to solve this question is finding the critical points of the function F(x), which are x for which:
[tex]F'(x) = 0[/tex]
In this question:
[tex]F(x) = x^{9} - x[/tex]
So
[tex]F'(x) = 9x^{8} - 1[/tex]
[tex]9x^{8} - 1 = 0[/tex]
[tex]9x^{8} = 1[/tex]
[tex]x^{8} = \frac{1}{9}[/tex]
[tex]x = \sqrt[8]{\frac{1}{9}}[/tex]
[tex]x = \pm 0.76[/tex]
So we have three intervals:
[tex](-\infty, -0.76), (-0.76, 0.76), (0.76, \infty)[/tex]
We take a value of x from each interval. If the derivative is positive, the function increases. Otherwise, it decreases.
First interval:
[tex](-\infty, -0.76)[/tex]
Will take x = -1.
[tex]F'(-1) = 9*(-1)^{8} - 1 = 9 - 1 = 8[/tex]
Positive, so increases.
Second interval:
(-0.76, 0.76),
Will take x = 0;
[tex]F'(0) = 9*(0)^{8} - 1 = 0 - 1 = -1[/tex]
Negative, so decreases
Third interval:
[tex](0.76, \infty)[/tex]
Will take x = 1
[tex]F'(1) = 9*(1)^{8} - 1 = 9 - 1 = 8[/tex]
Positive, so increases.
Interval of increase:
First and third, so:
[tex](-\infty, -0.76) \cup (0.76, \infty)[/tex]
Please help me
And explain
Answer: 144
Step-by-step explanation:
ABD plus DBC makes up ABC so when you add the two it will give you a whole (76+68).
help please help me its a hard one
Answer:
The sum of a and b is 12.
Step-by-step explanation:
Try drawing this figure. ABCD would actually be a triangle, rather than the common quadrilateral you would expect - considering there are 4 points plotted. Therefore, we would have to find the distance between respective points ( 0, 1 ) and ( 2, 5 ) / ( 2, 5 ) and ( 7, 0 ) / ( 0, 1 ) and ( 7, 0 ). Let's apply the distance formula and calculate the distance between each point, therefore determining the perimeter.
Distance between points ( 0, 1 ) and ( 2, 5 )
= [tex]\sqrt{(2-0)^2+(5-1)^2}[/tex]
= [tex]\sqrt{(2)^2+(4)^2}[/tex]
= [tex]\sqrt{4+16}[/tex]
= [tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]
Distance between points ( 2, 5 ) and ( 7, 0 )
= [tex]\sqrt{(7-2)^2+(0-5)^2}[/tex]
= [tex]\sqrt{5^2+(-5)^2}[/tex]
= [tex]\sqrt{25+25}[/tex]
= [tex]\sqrt{50}[/tex] = [tex]5\sqrt{2}[/tex]
And you can calculate the distance between points ( 0, 1 ) and ( 7, 0 ) to be exactly [tex]5\sqrt{2}[/tex] as well. Therefore, you can say that the perimeter of this triangle is [tex]2(5\sqrt{2}) + 2\sqrt{5}[/tex] = [tex]10\sqrt{2} + 2\sqrt{5}[/tex]. Note that this is similar to the form we are given. Thus, a = 10, and b = 2 - making it's sum 10 + 2 = 12.
My computer can download a movie in 5 hours. If I install an extra processor it can download the movie in 4 hours. How long, working alone, would it have taken the new extra processor to download the movie?
Pls try to help within 10-20 min I really need it!!!!!!
=======================================================
Explanation:
We have two workers, more or less. Worker A gets the job done in 5 hours. Worker B comes along to help. If A and B work together, they get the job done in 4 hours. This assumes neither worker hinders the other.
Worker A's rate is 1/5 of a job per hour. In other words, after 1 hour, 1/5 of the job is done.
The combined rate is 1/4 for similar reasoning
Worker B's rate is 1/x where x represents how long it takes worker B to get the job done on its own.
The equation to solve is
1/5 + 1/x = 1/4
Note how 1/5 and 1/x represents the sum of the individual rates to get the combined rate 1/4
To solve this equation, it helps to clear out the fractions. Multiply every term by the LCD 20x
20x(1/5 + 1/x) = 20x(1/4)
20x(1/5) + 20x(1/x) = 20x(1/4)
4x + 20 = 5x
From here you can probably see solving this is relatively easy
4x+20 = 5x
20 = 5x-4x
20 = x
x = 20
Therefore, it will take 20 hours for worker B to get the job done on its own.
Going back to the processing context, it takes 20 hours for the new processor to download the movie. This is where the new processor is working alone without help from the original processor.
----------------
Side note: downloading a movie really depends on internet speed rather than processor speed.
Jasper is twice as old as Simon now. Simon was 1/5 as old as Jasper in 12 years ago. How old is Jasper in 12 years's time?
Answer:
44 years old
Step-by-step explanation:
Let the age of Jasper be j years old now.
Now:
Jasper➣ j
Simon ➣ j/2
12 years ago:
Jasper➣ j -12
Simon➣ j/2 -12
Given that Simon's age=⅕(Jasper's age),
j/2 -12= ⅕(j -12)
Multiply by 5 on both sides,
2.5j -60= j -12
2.5j -j= 60 -12
Simplify:
1.5j= 48
÷1.5 on both sides:
j= 48 ÷1.5
Simplify:
j= 32
12 years time:
Jasper➣ j +12
Thus, Jasper's age
= 32 +12
= 44
Answer:
44 years
Step-by-step explanation:
Let Jasper's and Simon's ages be represented by J and S respectively.
From the first statement, J = 2S
From the second statement, (S - 12) = 1/5(J - 12)
J = 2S
S = J/2
S - 12 = 1/5(J - 12)
J/2 - 12 = J/5 - 12/5
Multiply each term by 10
5J - 120 = 2J - 24
5J - 2J = -24 + 120
3J = 96
J = 96/3 = 32
Jasper's present age is 32 years
In 12 years' time, Jasper's age will be 32 + 12 = 44 years
A recursive rule for an arithmetic sequence is a1=−7;an=an-1 Times (1/3)
Answer:
-7 * (1/3) ^ (n-1)
Step-by-step explanation:
I think the question should be related to going from recursive to explicit form, therefore:
We have that the recursive formula for the given geometric sequence is:
a1 = -7
an = (an-1) * (1/3)
With the above we can assume that:
r = 1/43
following the rule of the explicit formula that is given by:
an = a1 * (r) ^ (n-1)
we substitute and we have:
an = -7 * (1/3) ^ (n-1)
Therefore the explicit formula from the given data would be:
an = -7 * (1/3) ^ (n-1)
Find the slope of the line shown
Answer:
4/3
Step-by-step explanation:
We can find the slope by using the formula
m = (y2-y1)/(x2-x1)
We need two points ( 5,1) and ( 8,5)
m = ( 5-1)/(8-5)
= 4/3
You spend $3.50 on fruit. Apples cost $0.20 each while oranges cost $0.30 each. The equation models the situation, where x is the number of apples and y is the number of oranges. Which of the following is not a possible solution in the context of the problem?
a. 1 apple; 11 oranges
b. 11 apples; 1 orange
c. 7 apples; 7 oranges
d. 4 apples; 9 oranges
Answer:
b. 11 apples; 1 orange
Step-by-step explanation:
We test each option, and see if the total is $3.50(what you spend). If the result is different, it is not a possible solution.
a. 1 apple; 11 oranges
1 apple for $0.20
11 oranges for $0.30 each
0.20 + 11*0.30 = $3.50
Possible solution
b. 11 apples; 1 orange
11 apples for $0.20 each
1 orange for $0.30
11*0.2 + 0.3 = 2.5
Not $3.5, so this is not a possible solution.
This is the answer
c. 7 apples; 7 oranges
7*0.2 + 7*0.3 = $3.5
Possible
d. 4 apples; 9 oranges
4*0.2 + 9*0.3 = $3.5
Possible
The number of job applications submitted before landing an interview are normally distributed with a population standard deviation of 4 applications and an unknown population mean. A random sample of 19 job seekers is taken and results in a sample mean of 55 applications. The confidence intervalis (52.87.57.14). What is the margin of error? Round to two decimal places.
Answer:
The margin of error = 2.13
Step-by-step explanation:
Explanation:-
Given random sample size 'n' =19
mean of the sample(x⁻) = 55 applicants
Given standard deviation of the Population(S.D) = 4
Given confidence intervals are
((52.87.57.14)
we know that The Margin of error is determined by
[tex]M.E = Z_{\alpha } \frac{S.D}{\sqrt{n} }[/tex]
The confidence intervals are determined by
(x⁻ - M.E , x⁻+ M.E)
Step(ii):-
Given confidence intervals are
((52.87.57.14)
Now equating
(x⁻ - M.E , x⁻+ M.E) = ((52.87 , 57.14)
Given mean of the sample x⁻ = 55
( 55 - M.E , 55 + M.E) =((52.87.57.14)
Equating
55 - M.E = 52.87
M.E = 55 - 52.87
M.E = 2.13
Final answer:-
The margin of error = 2.13
The length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes. What is the probability density function for the length of time to complete the exam?
Answer:
[tex]X \sim Unif (a=40, b=60)[/tex]
And for this case we want to find the probability density function and we know that is given by:
[tex] f(x) =\frac{1}{b-a}=\frac{1}{60-40}= \frac{1}{20}, 40\leq X\leq 60[/tex]
Step-by-step explanation:
Let X the random variable who represent the length of time it takes students to complete a statistics examination. And the distribution for x is given by:
[tex]X \sim Unif (a=40, b=60)[/tex]
And for this case we want to find the probability density function and we know that is given by:
[tex] f(x) =\frac{1}{b-a}=\frac{1}{60-40}= \frac{1}{20}, 40\leq X\leq 60[/tex]
The tens digit in a two digit number is 4 greater than one’s digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number, results in the sum of 88. Find this number
Answer:
The original digit is 62
Step-by-step explanation:
Let the Tens be represented with T
Let the Units be represented with U
Given:
Unknown Two digit number
Required:
Determine the number
Since, it's a two digit number, then the number can be represented as;
[tex]T * 10 + U[/tex]
From the first sentence, we have that;
[tex]T = 4 + U[/tex]
[tex]T = 4+U[/tex]
Interchanging the digit, we have the new digit to be [tex]U * 10 + T[/tex]
So;
[tex](U * 10 + T) + (T * 10+ U) = 88[/tex]
[tex]10U + T + 10T + U= 88[/tex]
Collect Like Terms
[tex]10U + U + T + 10T = 88[/tex]
[tex]11U + 11T = 88[/tex]
Divide through by 11
[tex]U + T = 8[/tex]
Recall that [tex]T = 4+U[/tex]
[tex]U + T = 8[/tex] becomes
[tex]U + 4 + U = 8[/tex]
Collect like terms
[tex]U + U = 8 - 4[/tex]
[tex]2U = 4[/tex]
Divide both sides by 2
[tex]U = 2[/tex]
Substitute 2 for U in [tex]T = 4+U[/tex]
[tex]T = 4 + 2[/tex]
[tex]T = 6[/tex]
Recall that the original digit is [tex]T * 10 + U[/tex]
Substitute 6 for T and 2 for U
[tex]T * 10 + U[/tex]
[tex]6 * 10 + 2[/tex]
[tex]60 + 2[/tex]
[tex]62[/tex]
Hence, the original digit is 62
238 sandwiches 54 guests if the sandwiches were showed at equally how many sandwiches could each person have
Answer:
4 sandwiches
Step-by-step explanation:
To find the answer, all we have to do is 238 / 54 which is about 4.
1. For some constant c, the random variable X has probability density function
cx", 0
0, otherwise.
What is the value of c?
a) 1/n;
b) na ;
c)n + 1;
d) n;
e) n–1.
Answer:
Answer is (D) n
Step-by-step explanation:
Probability density function defines the likelihood of an outcome for a discrete random variable or a continuous random variable whose integral gives the probability that the value of the variable lies in the same interval.
The constant here is C
CX" implies CX prime prime (meaning that X has been differentiated twice).
The value of C is n, which is the number of values of X.
Based on data from the Greater New York Blood Program, when blood donors are randomly selected the probability of the having Group O blood is 0.45. Knowing that information, find the probability that AT LEAST ONE of the 5 donors has Group O blood type.
Answer:
The probability that at least one of the 5 donors has Group O blood type is 0.9497.
Step-by-step explanation:
We can model this as a binomial random variable, with n=5 (the sample size) and p=0.45.
The probability that exactly k donors have Group O blood type in the sample can be written as:
[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{5}{k} 0.45^{k} 0.55^{5-k}\\\\\\[/tex]
We have to calculate the probability P(x≥1). In this case it easy to substract from 1 the probabitity that x is exactly 0:
[tex]P(X\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{5}{0} p^{0}(1-p)^{5}=0.55^5=0.0503\\\\\\P(x\geq1)=1-0.0503=0.9497[/tex]
evaluate the algebraic expression for the given values 6+5(x-6)³ for X=8
Please answer this ASAP.
Answer:
x = 33 degrees.
Step-by-step explanation:
You can see that there is triangle ABC. There are 180 degrees in a triangle. One angle of the triangle is 42 degrees, and the other is 105 degrees. 105 + 42 = 147. The angle at point C would then be 180 - 147 = 33 degrees.
Because lines BC and DE are parallel, you can say that the 33 degree angle and the x-degree angle are the same, since they are alternate angles. Hence, the x is 33 degrees.
CAN SOMEONE PLEASE HELP ME THIS IS DUE SOON!!
Answer:
95 ft²
Step-by-step explanation:
Given:
regular pyramid with,
Square base of side length (s) = 5 ft
Slant height (l) = 7 ft
Required:
Surface area
Solution:
Surface area of a regular pyramid = ½*P*l + B
Where,
P = perimeter of the square base = 4(s) = 4(5) = 20 ft
l = slant height = 7 ft
B = area of base = s² = 5² = 25 ft²
Surface area = ½*20*7 + 25
= 10*7 + 25
= 70 + 25
Surface area of regular pyramid = 95 ft²
Researchers want to determine whether or not there is a difference in systolic blood pressure based on how many hours a person exercises per week. They divide a sample of 72 people into 3 groups based on how many hours they exercise per week. Group 1 exercises less than 2 hours per week, Group 2 exercises between 2 and 5 hours per week, and Group 3 exercises more than 5 hours per week. Researchers measure and record the systolic blood pressure for each participant. They choose α = 0.05 level to test their results. For your convenience, I have prepared an excel file with the data titled: data_homework10_BP groups. Use this data to run a One-way Anova.
1. What is the between groups degrees of freedom for this study?
a. 2
b. 3
c. 72
d. 69
2. This finding is statistically significant.
a. True
b. False
3. Based on this information, the researcher should make the decision to ___________.
a. reject the null hypothesis
b. fail to reject the null hypothesis
Answer:
(1) The between groups degrees of freedom is 2.
(2) TRUE.
(3) The correct option is (a).
Step-by-step explanation:
(1)
The between groups degrees of freedom for the study is:
[tex]\text{df}_{B}=k-1\\=3-1\\=2[/tex]
Thus, the between groups degrees of freedom is 2.
(2)
The hypothesis for he one-way ANOVA is:
H₀: All the means are equal.
Hₐ: At least one of the mean is not equal.
The output of the ANOVA test is attached below.
The p-value of the test is 0.00005.
p-value = 0.00005 < α = 0.05
Thus, the result is statistically significant.
The statement is TRUE.
(3)
As the p-value of the test is less than the significance level, the researcher should make the decision to reject the null hypothesis.
The correct option is (a).
HELP!! Im not sure what i did wrong!!
I'm not sure what exactly you did wrong, but I agree with you that the sample size is too small, so the correct answer will probably be the fourth options. Hope that this gives you some confidence, and 'm sorry not to be able to help you any further...
Mexican currency is the peso. One Mexican peso is currently equal to 0.055 U.S. dollars. If a traveler exchanges $400 for Mexican pesos, how many pesos will he receive? Round to the nearest peso.
Answer:
7,273 Pesos
Step-by-step explanation:
1 Peso = $0.055
The formula below converts pesos to dollars:
1 Peso x 0.055 = $1
The formula below converts dollars to pesos:
$1/0.055= 1 Pesos
We use the second formula because we are coverting
from dollars to pesos.
$400/0.055=7,273 Pesos
Answer:
22
Step-by-step explanation:
If one Mexican peso is .055 U.S dollars that means it has a greater value than the dollar so we can make the following ratio 1:.055. But if the .055 is a 400 1:400 we just multiply to get 22.
Which expression is equivalent to [tex]4^7*4^{-5}[/tex]? A. [tex]4^{12}[/tex] B. [tex]4^2[/tex] C. [tex]4^{-2}[/tex] D. [tex]4^{-35}[/tex]
Answer:
B. [tex]4^2[/tex]
Step-by-step explanation:
[tex]4^7 \times 4^{-5}[/tex]
Apply rule (if bases are same) : [tex]a^b \times a^c = a^{b + c}[/tex]
[tex]4^{7 + -5}[/tex]
Add exponents.
[tex]=4^2[/tex]
Answer:
[tex] {4}^{2} [/tex]Step by step explanation
[tex] {4}^{7} \times {4}^{ - 5} [/tex]
Use product law of indices
i.e
[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]
( powers are added in multiplication of same base)
[tex] = {4}^{7 + ( - 5)} [/tex]
[tex] = {4}^{7 - 5} [/tex]
[tex] = {4}^{2} [/tex]
Hope this helps...
Best regards!
Raining Company analyzes its receivables to estimate bad debt expense. The accounts receivable balance is $200,000 and credit sales are $1,300,000. An aging of accounts receivable shows that approximately 10% of the outstanding receivables will be uncollectible. What adjusting entry will Tanning Company make if Allowance for Doubtful Accounts has a credit balance of $2,500 before adjustment?
Answer:
Raining Company and Tanning Company
An Uncollectible Expense of $17,500 will be credited to the Allowance for Doubtful Accounts to bring the credit balance to $20,000.
Step-by-step explanation:
Since the accounts receivable balance is $200,000, there is nothing to do with the credit sales of $1,300,000.
The Allowance for Doubtful Accounts after adjustment should have a credit balance of $20,000 ($200,000 x 10%).
With a credit balance of $2,500 before adjustment, it will be adjusted (credited) with Uncollectible Expense of $17,500. This brings the adjusted balance to $20,000 which represents 10% of the accounts receivable balance of $200,000.
Note that the Allowance for Doubtful Accounts is a contra (credit) account to the Accounts Receivable account. This allowance is a way to prudently provide for credit risk as required by Generally Accepted Accounting Principles.
what value of x is in the solution set of 2(3x–1)>4x–6?
Answer:
x > -2
Step-by-step explanation:
2(3x–1)>4x–6
Divide each side by 2
2/2(3x–1)>4x/2–6/2
3x-1 > 2x-3
Subtract 2x from each side
3x-2x-1 > 2x-3-2x
x-1 > -3
Add 1 to each side
x-1+1 > -3+1
x > -2
The mean arrival rate of flights at Philadelphia International Airport is 195 flights or less per hour with a historical standard deviation of 13 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days, the arrival rate per day is given in the data vector below called flights. Air traffic control manager wants to test if there is sufficient evidence that arrival rate has increased.
flights <- c(210, 215, 200, 189, 200, 213, 202, 181, 197, 199,
193, 209, 215, 192, 179, 196, 225, 199, 196, 210,
199, 188, 174, 176, 202, 195, 195, 208, 222, 221)
a) Find sample mean and sample standard deviation of arrival rate using R functions mean() and sd().
b) Is this a left-tailed, right-tailed or two-tailed test? Formulate the null and alternative hypothesis.
c) What is the statistical decision at the significance level α = .01?
Answer:
a) The sample mean is M=200.
The sample standard deviation is s=13.19.
b) Right-tailed. The null and alternative hypothesis are:
[tex]H_0: \mu=195\\\\H_a:\mu> 195[/tex]
c) At a significance level of 0.01, there is notenough evidence to support the claim that the arrival rate is significantly higher than 195.
Step-by-step explanation:
We start by calculating the sample and standard deviation.
The sample size is n=30.
The sample mean is M=200.
The sample standard deviation is s=13.19.
[tex]M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{30}(210+215+200+. . .+221)\\\\\\M=\dfrac{6000}{30}\\\\\\M=200\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{29}((210-200)^2+(215-200)^2+(200-200)^2+. . . +(221-200)^2)}\\\\\\s=\sqrt{\dfrac{5048}{29}}\\\\\\s=\sqrt{174.07}=13.19\\\\\\[/tex]
This is a hypothesis test for the population mean.
The claim is that the arrival rate is significantly higher than 195. As we are interested in only the higher tail for a significant effect, this is a right-tailed test.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=195\\\\H_a:\mu> 195[/tex]
The significance level is 0.01.
The standard deviation of the population is known and has a value of σ=13.
We can calculate the standard error as:
[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{13}{\sqrt{30}}=2.373[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{200-195}{2.373}=\dfrac{5}{2.373}=2.107[/tex]
This test is a right-tailed test, so the P-value for this test is calculated as:
[tex]\text{P-value}=P(z>2.107)=0.018[/tex]
As the P-value (0.018) is bigger than the significance level (0.01), the effect is not significant.
The null hypothesis failed to be rejected.
At a significance level of 0.01, there is notenough evidence to support the claim that the arrival rate is significantly higher than 195.
Which function models the geometric sequence in the table?
Hope you understand :)