Answer:
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The variance is the same as the mean.
Average rate of 56 calls per hour:
This means that [tex]\mu = 56n[/tex], in which n is the number of hours.
Find the average and standard deviation of the number of service calls in a 15-minute period.
15 minute is one fourth of a hour, which means that [tex]n = \frac{1}{4}[/tex]. So
[tex]\mu = 56n = \frac{56}{4} = 14[/tex]
The variance is also 14, which means that the standard deviation is [tex]\sqrt{14} = 3.74[/tex]
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
a rectangle measures 2 1/3 by 1 2/3 what is its area
what is the total price including 7% tax of a $14.49 item
Answer:
$15.50
Step-by-step explanation:
What is the square unit of 6 by 9 square unit what is the area?
Answer:
54 unit ^2
Step-by-step explanation:
Well a formula for a rectangle is a=lw
So 6*9=54
The area is 54
Find the volume of the cone below. Leave your answer in terms of pi.
Answer:
ahaha it's B my guy
Step-by-step explanation:
peace out
Find the area of the shaded sector.
158°
Answer:
120 degree in a while and I am fan of the African American women who have served and are fight with you and I am fan of these days and then I will be there in a few days ago y I love u too
Step-by-step explanation:
fftt fight for you to be a good day at work and you are so cute and I am fan of these people are so cute and I am fan of these game and my name was on the phone with my mom is going to be a good day at add me on the phone with my mom is going to be a good day at work and you are so t I don't know what I said it will be there in a few days ago I got the job at the end of my favorite thing in life that is the best thing that I have to be a good day at work and you are so sweet to say that I have to go back to the for us to be a good day at work and I'm so excited about this one is it a Main St apt c u at work and you are not a bad mood today so I can do it for me to come back in my head and I am fan and I am fan on my is on the phone and it is not a type of settlement of the African American women who have participated and are you doing today I am so proud of u and I am fan on my is on the phone number and you can do it for me to come
What is the domain of the function
Answer:
Domain- (-∞,∞), {x/x ∈ R}
Step-by-step explanation:
A chili cook-off has adult tickets (a) and child tickets (c) . A group of Visitors buy three adult tickets and two child tickets and pays a total of $26. Another group buys five adult tickets and 3 child tickets and pays $42. Write and solve a system of equations to find the price of each type of ticket. (I just need the equations)
Answer:
Equation 1 would be: 3a+2C
Equation 2 would be: 5a+3C
Step-by-step explanation:
What value of c makes x2 + 6x + c a perfect square trinomial?
3
6
9
12
9514 1404 393
Answer:
(c) 9
Step-by-step explanation:
The square of a binomial has the form ...
(x +a)² = x² +(2a)x +a²
You will note that the value of 'a' is half the coefficient of the x term (2a). The constant term is the square of the value of 'a'. This means the number you want is ...
c = (6/2)² = 9
Answer:
9
Step-by-step explanation:
Which ordered pair is the solution to the system of linear equations y =-7x+2 and y = 9x-14?
• (-5,1)
• (1,-5)
(5,-1)
(-1,5)
Answer:
(1, -5)
Step-by-step explanation:
Solve the system by setting the equations equal to each other, and solving for x:
-7x + 2 = 9x - 14
2 = 16x - 14
16 = 16x
1 = x
So, the x coordinate of the solution will be 1.
Plug in 1 as x into one of the equations, and solve for y
y = -7x + 2
y = -7(1) + 2
y = -7 + 2
y = -5
So, the y coordinate is -5.
The ordered pair solution is (1, -5)
Answer:
Solution in photo
F(x)=0.5^x what is the domain and range
Answer:
XER (X are all real numbers)
Step-by-step explanation:
as;dbdjkdbusaj hfsvd
A track star jumped 6 feet. The record is 84 inches. How much further does he need to jump to beat the record?
thank you!!
Answer:
12 inches or 1 ft.
Step-by-step explanation:
Firstly, convert the 6 feet to inches.
(There are 12 inches in 1 foot)
So, 6 feet is 72 inches (6 * 12)
Now, you can subtract this total from the record, to find how much farther he needs to jump:
84 - 72 = How much further
84 - 72 = 12
Therefore, he needs to jump 12 inches further.
To place in feet form, then convert 12 inches to feet.
(There are 12 inches in a foot)
So, 12 inches is 1 foot
Answer:
1 foot or 12 inches.
Step-by-step explanation:
Since there are 12 incher in every foot, we divide 84 by 12, giving us a total of 7ft. He has to jump 1 foot, or 12 inches more, to beat the record.
Thw local bakery makes 7 trays of oatmeal cookies each morning.Wach tray holds 22 cookies. About how many does the bakery make each morning
A.140
B.180
C.210
D.300
whoever gets this correct first gets brainlest
Answer:
f(x) = 4*(5/2)^x
Step-by-step explanation:
First, we know that our function has the points:
(0, 4)
(1, 10)
(2, 25)
The first one (0, 4) means that:
f(0) = 4.
Then you can evaluate the four given functions in x = 0 and see which ones meet this condition (have the outcome equal to 4)
Here we can discard the function f(x) = 15*x - 5 because:
f(0) = 15*0 - 5 = -5
Then this function is discarded.
Now let's look at the second point, (1, 10)
This means that f(1) = 10
Then you can evaluate the remaining functions in x = 1, and see if the outcome is equal to 10.
Here we can discard the first function f(x) = (x + 2)^2 because:
f(1) = (1 + 2)^2 = 3^2 = 9
So the output is not 10 as we wanted.
(while for the other two functions we have)
for f(x) = 6*x + 4
f(1) = 6*1 + 4 = 10
for f(x) = 4*(5/2)^x
f(1) = 4*(5/2)^1 = 4*(5/2) = (4/2)*5 = 10
Now we use the last point, (2, 25)
This means that when x = 2, the outcome needs to be equal to 25.
For the function f(x) = 6*x + 4 we have:
f(2) = 6*2 + 4 = 12 + 4 = 16
So we can discard this one.
Then we could conclude that the remaining option is the correct one, but let's ceck.
f(x) = 4*(5/2)^x
then for x = 2
f(2) = 4*(5/2)^2 = 4*(25/4) = 25
correct.
Then the correct option is f(x) = 4*(5/2)^x
In football, a field goal is kicked from a position on the field
through a goal post that is 360 inches beyond the goal line. If a
field goal is kicked from the 38-yard line, what is the distance in feet to the goal post
Answer:
144 ft. i just had this question on my test .
Step-by-step explanation:
Assume that the weight of cereal in a "12.6 ounce box" is N(µ,0.42). The Food and Drug Association (FDA) allows only a small percentage of boxes to contain less than 12.6 ounces. You collect a random sample of n = 35 boxes and find that the sample mean is 12.8. Test the null hypothesis H0: µ = 13 against the alternative hypothesis HA: µ < 13 at level of significance α = 0.01
Answer:
We reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0}: \mu = 13[/tex]
The alternate hypotesis is:
[tex]H_{a}: \mu < 13[/tex]
The test statistic is:
[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.
13 is tested at the null hypothesis:
This means that [tex]\mu = 13[/tex]
N(µ,0.42)
This means that the standard deviation is 0.42, that is, [tex]\sigma = 0.42[/tex]
You collect a random sample of n = 35 boxes and find that the sample mean is 12.8.
This means that [tex]n = 35, X = 12.8[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{12.8 - 13}{\frac{0.42}{\sqrt{35}}}[/tex]
[tex]z = -2.82[/tex]
Pvalue of the test:
The pvalue of the test is the pvalue of z = -2.82.
Looking at the z table, z = -2.82 has a pvalue of 0.0024
0.0024 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.
Mrs. Crosland asked students to factor the expression 28x - 8. The students offered the answers shown in the box. Which student(s) offered answer(s) equivalent to the original expression? A. only Danny B. only Irene C. both Carlos and Danny D. both Carlos and Irene
Answer:
Step-by-step explanation:
I can't see the factorisation that the students did. That is, Danny, Carlos and Irene. You either forgot to upload, or you couldn't.
However, I will factorise the expression for you, while you check you book to know who did the exact same factorisation.
28x - 8
This equation can be factorised when divided by 2, into
2(14x - 4)
At the same time, it can be factorised when divided by 4, into
4(7x - 2)
Basically, either of the students who choose between 2(14x - 4) and 4(7x - 2) is/are whom you'd pick for your answer.
find the length of DE
1. If y varies inversely as x and y = 2 when x = 10, find y when x = 5.
2. If y varies directly as z and inversely as x and y = 10 and z = 5 when x = 12.5, find z when y = 37.5 and x = 2.
Answer:
1.45
Step-by-step explanation:
I don't really know if this is right
Which of the following scatterplots would have a trend line with a positive slope?
Answer:a
Step-by-step explanation:
on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye
Answer:
[tex] \frac{1}{2} + \frac{10}{12} \: = \: \boxed{\frac{4}{3}} [/tex]
Explanation:
[tex] \frac{1}{2} + \frac{10}{12} \: = \: \frac{1 × 6}{2 × 6} + \frac{10}{12} \: = \: \frac{6}{12} + \frac{10}{12} \: = \: \frac{6 + 10}{12} \: = \frac{16}{12} \: = \: \frac{16 ÷ 4}{12 ÷ 4} \: = \: \frac{4}{3}[/tex]
[Multiply the numerator and denominator by the common denominator so that both denominators are the same]
[Add the numerators together]
[Reduce the fractions and simplify by a common denominator until the denominator or numerator cannot be divided evenly]
what is the coefficient of the term of degree 4 in this polynomial 4x^8+5x^4-2x^3+
5Answer:
Step-by-step explanation:
sorry if this is wrong
solve the system of linear equations by elimination. 6x-4y=18 3x+2y=-3
Answer:
y = -3
x = 1
Step-by-step explanation:
6x-4y=18
3x+2y=-3, so 3x = -2y - 3, then x = (-2y - 3)/3
substitute for x:
6((-2y - 3)/3) - 4y = 18
2(-2y - 3) - 4y = 18
-4y - 6 - 4y = 18
-8y - 6 = 18
-8y = 24
y = -3
x = (-2(-3) -3)/3 = 1
if y + 3 = 14, what is the value of 3(y + 5)
Answer:
48
Step-by-step explanation:
y + 3 = 14
y = 11
3(y + 5) = 3(11 + 5) = 3(16) = 48
Answer: 48
PLSS help me ☝............
Answer:
New Coordinates: G'(0,4) Y'(3,3) M(3,7)
Movement: Translation 3 units up
Step-by-step explanation:
Since you're adding to the y-coordinate, your points will move up which makes this a translation
2x + 8
2 + 3
7x + 21
.
x +4
Answer:
[tex]60x + 86[/tex]
Step-by-step explanation:
what is 23456776543211234654345676543456765434567654.5096875849 divided by 234.5678765424587654357876543 divided by 9999?
Answer:
1.0000995e+37
Step-by-step explanation:
Answer: Haha i'm so sorry but i don't know.
Step-by-step explanation: Have a great day!
What is the value of the missing angle?
Answer:
65°
Step-by-step explanation:
All angles in a triangle added up make 180° so you have to add 68° and 47° whih equals 115° and then simply subtract it from 180° so 180°-115°=65°
In a random sample of 8 people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.4 minutes. A 90% confidence interval using the t-distribution was calculated to be (30.5,40.5). After researching commute times to work, it was found that the population standard deviation is 9.3 minutes. Find the margin of error and construct a 90% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.
Answer:
Margin of Error = 5.4088 ;
Confidence interval = (30.1 ; 40.9)
Interval estimate are almost the same
Step-by-step explanation:
Given that :
Population standard deviation, σ = 9.3
Sample size, n = 8
Xbar = 35.5
Confidence level = 90%
The confidence interval:
Xbar ± Margin of error
Margin of Error = Zcritical * σ/sqrt(n)
Zcritical at 90% = 1.645
Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088
Confidence interval :
Xbar ± Margin of error
35.5 ± 5.4088
Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1
Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9
(30.1 ; 40.9)
T distribution =. (30.5 ; 40.5)
Normal distribution = (30.1, 40.9)
3x(x-2)(2x2+1)-6(x+3)
Answer/Step-by-step explanation:
3x(x-2)(2x2+1)-6(x+3
ANSWER:
-12x^3 - 21x^2 - 12x - 18
Maureen Ritter is paid $275 a week and a commission of. 7% on all sales. Her sales last week were $3,904. What were her total earnings for the week?
Answer:
548.28
Step-by-step explanation:
you want to take the original pay ( $275 ) and push that to the side.
take 3,094 and find 7% of that, which would be 273.28
lastly you want to take 273.28 and add the original pay of 275.
273.28 + 275 = 548.28
so her total pay for the week was 548.28