Answer:
C. 187 and 345
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 266 yards per game, standard deviation of 79 yards.
Between which two values do you expect the middle 68% of his performance to be?
By the Empirical Rule, within 1 standard deviation of the mean. So between 266 - 79 = 187 yards and 266 + 79 = 345 yards. The correct answer is given by option C.
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
ig its box B if it was wrong sorry! but yes ig its B
Please help me !!!!!!!!!!!!!!!!!!!
Answer:
5) arccos A = 28°
6) arcsin A = 53°
Step-by-step explanation:
5) cos A = 30/34
6) sin A = 32/40
5)
For a right triangle, the cosine of an angle is the ratio between the length of the adjacent side and the length of the hypotenuse (the hypotenuse is the longest side of the triangle).
In this case,
cos(A) = adjacent / hypotenuse = 30 / 34 = 15/17
6)
For a right triangle, the cosine of an angle is the ratio between the length of the opposite side and the length of the hypotenuse.
In this case,
sin(A) = opposite / hypotenuse = 32 / 40 = 4/5
A way to remember sine, cosine, and tangent is SOHCAHTOA, where
SOH is Sine = Opposite / Hypotenuse
CAH is Cosine = Adjacent / Hypotenuse
TOA is Tangent = Opposite / Adjacent
A new pop-up restaurant serving high-end street tacos just opened and is expected to have high demand based on the chef's prior restaurant experience. The pop-up restaurant has only one window where customers order and receive their food. It takes an average of 5 minutes to serve a customer. There is no seating available so the customer exits the system after receiving their order.
Due to the creative marketing strategy of "hiding" the restaurant location, only 10 customers arrive per hour. There is no specific pattern to the distribution of time between arrivals or service times, but from historical data from prior pop-ups, the coefficient of variation for time between arrivals is 2.58 and service time is 0.75.
1. What type of queuing model is this process?
a. single-channel, multi-phase.
b. multi-channel, multi-phase.
c. single-channel, single-phase.
d. multi-channel, single-phase.
2. How many customers would you expect to find waiting in line?
a. 3.
b. 18.
c. 10.
d. 0.
e. 7.
f. 15.
g. 12.
3. For new customers, how long do they have to wait in total before they leave with their food?
a. 45 minutes.
b. 20 minutes.
c. 50 minutes.
d. 95 minutes.
e. 15 minutes.
f. 100 minutes.
g. 40 minutes.
h. 10 minutes.
i. 0 minutes.
j. 90 minutes.
Answer:
1. c
2. f
3. d
Step-by-step explanation:
This type of queuing model is an example of "single-channel, single-phase" process.
However, from the information given:
The inter-arrival rate = 10 customers per hour
Arrival time = 6 minutes
Service time = 5 minutes
∴
utilization = service time/arrival time
= 5/6
Time on queue [tex]T_q = p \times \dfrac{utilization }{1 - utilization} \times \dfrac{Cv_a^2 -Cv_b^2}{2}[/tex]
[tex]T_q = 5 \times \dfrac{5/6 }{1 -5/6} \times \dfrac{(2.58^2 -0.75^2)}{2}[/tex]
[tex]T_q = 25 \times 3.60945[/tex]
[tex]T_q = 90.24 \\ \\ T_q \simeq 90 \ mins[/tex]
Thus, customer waiting in the queue line is;
[tex]= \dfrac{T_q}{q} \\ \\ = \dfrac{90}{6} \\ \\ \mathbf{=15}[/tex]
Thus, new customers will have to wait in a total time of;
= waiting time + service time
= 90 + 5
= 95 minutes.
Find the slope and the y-intercept of the graph of y=11+1.5x.
Answer:
Step-by-step explanation:
Is the solution greater than, less than, or equal to 29?
4(5 + 6) - 15
Answer:
Step-by-step explanation:
4(5 +6) - 15
4(11) - 15
= 44 - 15
= 25
The solution is equal to 29
Answer:
[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]
It's Equal to 29
PLS HELP 20 PONTS! which expression is equivalent to -2.5(1-2n) - 1.5n. select all that apply
Answer:
B
Step-by-step explanation:
Answer:
-2.5 + 3.5 n
URGENT PLZ HELP
find the diameter of circle Q if angle PQR measures 31° and the arc length of PR is 9 cm
Answer:
33.4 cm
Step-by-step explanation:
Given:
θ = 31°
Arc length of PR = 9 cm
Required:
Diameter
Solution:
Diameter of the circle = 2*radiius = 2*PQl
Arc length = θ/360 × 2πr
Plug in the values into the equation
9 = 31/360 × 2πr
9 = 0.54r
9/0.54 = r
16.6666667 = r
r = 16.7 cm
Radius = 16.7 cm
Therefore,
Diameter = 2*radius = 2*16.7 = 33.4 cm
A dart board measures 6.5 inches from the very edge to the center of the bullseye
I need help
Answer:
a is the wrong answer
Step-by-step explanation:
the area of the circle is 40.8407 in^2
If the half life of a substance is 4 weeks, how long will it take for 400 mg of this substance to decay to 25 mg?
Answer:
I believe the answer is 16 weeks.
Step-by-step explanation:
Sorry for the wait
What is the slope of the line that passes through (1, 4) and (1, −3)? (1 point)
Answer:
undefined
Step-by-step explanation:
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
Slope of the line
[tex] = \frac{4 - ( - 3)}{1 - 1} [/tex]
[tex] = \frac{7}{0} [/tex]
(undefined)
Notice that the two points have the same x-coordinate of 1. This means that the line is a vertical line, and vertical lines have undefined slopes.
Answer:
Undefined slope
Step-by-step explanation:
(1, 4) and (1, −3)
Slope:
m=(y2-y1)/(x2-x1)
m=(-3-4)/(1-1)
m=(-7)/0
When 0 is the denominator, there's no slope since it's undefined.
Undefined slope
2x +1=x+3 plzzz give the answer
Answer:
x=2
Step-by-step explanation:
Because you Subtract 1 from both sides of the equation
and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2
it takes 43 pounds of seed to completely plant a 6 acre field How many acres can be planted per pound of seed?
Answer:
0.138 acres per pound of seed
Step-by-step explanation:
A professor of statistics wants to test that the average amount of money a typical college student spends per day during spring break is over $70. Based upon previous research, the population standard deviation is estimated to be $17.32. The professor surveys 35 students and finds that the mean spending is $72.43. How would you calculate the p-value for this test
Answer it is 456y5445t6y5432
Step-by-step explanation:
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A personal identification number (PIN)
consists of four digits. Consider the
PIN 0005 equal to the number 5, etc. Find
the probability that a PIN number is:
a equal to 0000
b less than 8000 and more than 7900
c divisible by 10
d at least 13.
Using the probability concept, it is found that there is a:
a) 0.0001 = 0.01% probability that a PIN number is equal to 0000.b) 0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.c) 0.1 = 10% probability that a PIN number is divisible by 10.d) 0.9988 = 99.88% probability that a PIN number is at least 13.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A personal identification number (PIN) consists of four digits, and considering they can repeat, the total number of PINs is:
[tex]T = 10^4 = 10000[/tex]
Item a:
A PIN equals to 0000 is one outcome, hence:
[tex]p = \frac{1}{10000} = 0.0001[/tex]
0.0001 = 0.01% probability that a PIN number is equal to 0000.
Item b:
In this interval, there are 8000 - 7900 - 1 = 99 possible values, hence:
[tex]p = \frac{99}{10000} = 0.0099[/tex]
0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.
Item c:
One in ten numbers are divisible by 10, hence:
[tex]p = \frac{1}{10} = 0.1[/tex]
0.1 = 10% probability that a PIN number is divisible by 10.
Item d:
12 numbers, from 1 to 12, are less than 13, hence 10000 - 12 = 9988 are at least 13, hence:
[tex]p = \frac{9988}{10000} = 0.9988[/tex]
0.9988 = 99.88% probability that a PIN number is at least 13.
You can learn more about the probability concept at https://brainly.com/question/15536019
Mrs. Flores asked her students to write a number, its opposite, and its absolute value, in that order. Four of her students turned in their work below.
Student Work
Keenan -1285, -1285, 1285
Sarah 1416, -1416, 1416 Ahab -1383, 1383, -1383
Ji-yoon 1574. -1574, -1574
Which student correctly listed a number, its opposite, and its absolute value in the correct order?
Answer:
Sarah is correct
Step-by-step explanation:
Required
Which of the students is correct
Let a number be x,
Given what the teacher asked the students to do, the solution is:
[tex]Number = x[/tex]
[tex]Opposite = -x[/tex]
[tex]Absolute = |x|[/tex]
Only Sarah got this correctly; others are incorrect.
The proof is as follows.
For Sarah
[tex]Number = 1416[/tex]
[tex]Opposite = -1416[/tex]
[tex]Absolute =|1416| = 1416[/tex]
So, the numbers will be: 1416, -1416 and 1416
Other students are incorrect
Can someone help me this is due at 8:00 am please and thank you.
Answer:
8)
a) 6,320,000
b) 230,000
c) 10,000,000
8)
a) 9,300,000
b) 5,240
c) 28,000
What is the slope of y = 4 - 2x?
Answer:
The slope is -2
Step-by-step explanation:
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m
is the slope and b is the y-intercept.
[tex]y = mx + b[/tex]
Reorder 4 and -2x.
[tex]y = - 2x + 4[/tex]
Using the slope-intercept form, the slope is −2.
[tex]m = - 2[/tex]
Hence, the slope is -2.
The equation y = 4- 2x has a slope of -2.
The pitch of a direct equation is the measure of the term containing the independent variable( in this case," x").
In the equation y = 4- 2x, the measure of "x" is-2. thus, the pitch of the equation is-2.
We know equation is in slope-intercept form (y = mx + b), where "m" represents the slope.
The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).
In this case, for every unit increase in x, the value of y diminishments by 2 units. This indicates a downcast pitch.
In summary, the equation y = 4- 2x has a slope of -2.
Learn more about Slope here:
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Neelam is pouring sand into a clear box to make sand art. The box is a right rectangular prism, and the base of the box is a right rectangular prism, and the base of the box is 7 in. by 2 1/2 in. She pours in red sand until the volume of the sand is 26 1/4 in.3. Then she pours in blue sand. Now the volume of the sand is 43 3/4 in.3. How much does the level of the sand rise when Neelam adds the blue sand?
The level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
It is given that:
Neelam is pouring sand into a clear box to make sand art.
The volume of the sand = 43 3/4 - 26 1/4
After simplification:
The volume of the sand = 17 1/2
The height of the sand = 17 1/2 ÷ (7x 2 1/2)
After solving:
The height of the sand = 1 inch
Thus, the level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.
Learn more about the volume here:
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The
of a plane is 2.
Answer:
The seat no of a plane is 2
find the surface area of this cylinder. geometry hw help
Answer:
301.59 units or 301.6 after rounding
0645 + 0745 answer in military time
Answer:
1390
Step-by-step explanation:
Answer:
the answer is 1430 in military time
Step-by-step explanation:
Choose the item that has measurable volume.
A. an index card
B. a napkin
C. cereal box
D. piece of paper
Volume is a three-dimensional scalar quantity. The item is the cereal box.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
For an item to have measurable volume, the item must have space and must have a closed surface. Therefore, the item is the cereal box.
Learn more about Volume:
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what is the answer to 1200 x 4500 = ?
Answer:
5400000
Step-by-step explanation:
To make it easier.
12 x 45, then add your four zeros on your answer!
Hope this helps!
Yours Truely, TheAnimeCatUwU
use the distributive properties to remove the parenthesis from the equation 10(2/5+2y)
Which is NOT the formula for an area of a rectangle?
Group of answer choices
A = 1/2 X h X (Base 1 + Base 2)
A = L X W
A = bh
A = Base X Height
how does 3.1416 come
Answer:
It is the value of pie(22/7)
A seafood-sales manager collected data on the maximum daily temperature, T, and the daily revenue from salmon sales, R, using sales receipts for 30 days selected at random. Using the data, the manager conducted a regression analysis and found the least-squares regression line to be Rˆ=126+2.37T. A hypothesis test was conducted to investigate whether there is a linear relationship between maximum daily temperature and the daily revenue from salmon sales. The standard error for the slope of the regression line is SEb1=0.65. Assuming the conditions for inference have been met, which of the following is closest to the value of the test statistic for the hypothesis test?
a. t=0.274
b. t=0.65
c. t=1.54
d. t=3.65
e. t=193.85
Answer: d
Step-by-step explanation:
t= b1- B0/ SE(b1) = 2.37-0/0.65= 3.646 -> 3.65
The closest value of the test statistic for the hypothesis test is 3.65 if the least-squares regression line to be Rˆ=126+2.37T option (d) is correct.
What is a regression line?A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.
We have a least-squares regression line to be:
R^ = 126+2.37T
A hypothesis test was conducted to investigate whether there is a linear relationship between maximum daily temperature and the daily revenue from salmon sales.
Using a T-test to find the significance of the slope coefficient is measured:
[tex]\rm t = \frac{b}{SE}[/tex]
Here SE = 0.65
b = 2.37
Put this value in the above expression, we get:
[tex]\rm t = \frac{2.37}{0.65}[/tex]
t = 3.6461 or
t = 3.65
Thus, the closest value of the test statistic for the hypothesis test is 3.65 if the least-squares regression line to be Rˆ=126+2.37T option (d) is correct.
Learn more about the regression line here:
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Pls help :( I’m so stuck in this
Answer:
99.6 ft²Step-by-step explanation:
Three faces are equal triangles with:
base = 8 units, height = 6 ftThe base is a triangle with:
base = 8 ft, height = 6.9 ftSurface area is sum of areas of 4 faces:
S = 3*(1/2*8*6) + 1/2*8*6.9 = 99.6 ft²hi please help me with this im learning how to play gutiar rn
Answer:
1. 1/3
2. 19/8
Step-by-step explanation:
x^2+ 3 has a value of 28. What term in the sequence has a value of 28?
Answer:
5th term
Step-by-step explanation:
x^2 +3 = 28
Subtract 3 from each side
x^2+3-3 =28-3
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = 5
(x could be -5, but there are not usually negative terms in a sequence)
Answer:
The value of X1 is -5, X2 is +5.