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 game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, green, green, star, question mark, green, green, star, green, end.
It is Marcie’s first turn to roll. Which ratio shows the theoretical probability that she will not land on a star space?
1/6
1/3
1/2
2/3
The answer is D. 2/3
no one else had the answer so here it is xx
Answer:
d
Step-by-step explanation:
Answer:
Answer D:2/3
Step-by-step explanation:
WHAT IS 15/50 IN DECIMAL AND IN PERCENTAGE
15
_
50
Use the distributive property to simplify 3 + 5c(2 + 6c) completely.
Answer:
Distributive property says that:
(A + B)*C = A*C + B*C
Now let's try to use it in our expression:
3 + 5*c*(2 + 6*c)
Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:
3 + (5*c)*2 + (5*c)*(6*c)
Now remember that the multiplications are associative and commutative, then we can write this as:
3 + (2*5)*c + (5*6)*(c*c)
3 + 10*c + 30*c^2
And we can't simplify it anymore.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
7 x - 9 + 11 x - 9 = 180
Step-by-step explanation:
For the equation: 7 x - 9 + 11 x - 9 = 180
Value of X is 11
7x - 9 + 11x - 9 = 180
combine values
18x - 18 = 180
18x = 198
18x/18 = 198/18
x = 11
Angle Measures is
7 (11) - 9 = 77-9 = 68 degrees
11 (11) - 9 = 112 degrees
6. A cylindrical oatmeal canister has a diameter of 4 inches and a hight of 10 inches. The manufac-
turing company wants to package the oatmeal in square containers to cut back on wasted storage
space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have,
to the nearest % inch, to hold the same volume of oatmeal? Use 3.14 for the value of T.
a. 7 3/4 inches
b. 8 inches
c. 8 1/4 inches
d. 8 1/2 inches
e. 8 3/4 inches
The minimum height the square containers should have is 8 inches.
What should be the minimum height the square containers ?The first step is to determine the volume of the cylindrical oatmeal canister.
Volume = 1/3πr²h
Where:
π = 3.14
r = radius 4/2 = 2
3.14 x 2² x 10 = 125.6
Now, determine the minimum height of the square box.
Height = volume of the cannister / (area of the base)
125.6 / (4 x 4) = 7.85 = 8 inches
To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219
What is the value of the expression below? 7/10÷3/8
A.21/80
B.1 13/15
C.3 17/21
D.15/28
Can someone please help I really need the answer I give anyone a brainliest
Quadratic vs Exponential Functions
X
- 1000000x y-2
0
1
0
1
1000000
2
2
4000000
4
3
9000000
8
4
16
5
32
16000000
25000000
36000000
49000000
6
64
7
128
Question:
The table shows the behavior of a quadratic and an exponential function near the origin
A. Which function is growing more rapidly?
B. Between which X-values does the table indicate that the functions graphs have crossed?
C. Will the functions graphs ever intersect again? Can you prove this?
1)
Answer:
A) The first function (the quadratic one) is growing more rapidly.
B) Between x=0 and x=1.
C) We can assume that they don't intersect again.
Step-by-step explanation:
A)
The first function (the quadratic one) is growing more rapidly. We can see this because the difference between its y values is so much greater than the difference between the y values for the exponential function.
B)
Between x=0 and x=1. When functions intersect, their y and x values are equal. The y-values are equal at some point over x=0 and x=1 because they both cross over the same range (y=1 and y=2)
C)
We can assume that they don't intersect again because the y-values for the exponential equation will never reach the corresponding values for the quadratic equation; it simply isn't growing rapidly enough.
So theres an equation here....
p<_ 7.5
Omar can buy at least_____pairs of socks.
Options:-
1. He can buy at least 7 socks
2. He can buy at most 7 socks
3. He can buy at least 8 socks.
4. He can buy at most 8 socks
ALSO I NEED THIS ASP PLUS BRAINLIEST
10 points tho bc ppl steal points and dont answer :/
Answer:he can buy at least 7 pairs of socks
Step-by-step explanation:
Use the circle below.
a. What appear to be the minor arcs of OL?
b. What appear to be the semicircles of OL?
c. What appear to be the major arcs of OL that contain point K?
Answer:
a. IH and JK
b. IK and HJ
c. HK
Step-by-step explanation:
IH and JK are the minor arcs because the other arcs (IJ and HK) are major arcs. They (IH and JK) are minor arcs because they are acute angle and the other arcs are Obtuse.
IK and HJ are semicircles because they are two points that is forming a line between the circle. two points that are connected, is already a semicircle.
HK is a major arc because it's central angle is obtuse.
Find the GCF of 2m^5 and 28m4
a. 28m^4
b. m^4
c. 2m^4
d. 2m
Tom works at an aquarium shop cleaning reef tanks. His job is to drain the tank. How much water is initally in
the tank before he starts to drain it?
Time (minutes)
Amount of Water
1
150
3
100
6
25
There are 175 cubic unit initially in the tank
How to determine the initial amount of water?The table of values is given as:
Time (minutes) Amount of Water
1 150
3 100
6 25
Calculate the slope (m) of the table using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (100 - 150)/(3 -1)
Evaluate
m = -25
This means that as the time increases by 1, the amount of the water reduces by 25 cubic unit
When x = 1, y = 150
So, we have:
x = 1 - 1 when y = 150 - (-25)
This gives
x = 0 when y = 175
Hence, there are 175 cubic unit initially in the tank
Read more about linear equations at:
https://brainly.com/question/4025726
#SPJ5
Mike's scores on 5 quizzes he took are shown above. In which month was Mike's quiz score equal to the average of his 5 quizzes? Sept. 72, Oct. 83, Nov. 95, Dec. 77, Jan. 88
Answer:
Oct.
Step-by-step explanation:
average = (72 + 83 + 95 + 77 + 88)/5 = 83
does the graph represent a function
Answer:
no this is not a function
Step-by-step explanation:
because if you do the line test it touches both of the lines its kinda hard to explain but yeah
look at pic 10 pts will mark brainilest hhhionnia
The circle graph shows the results of a survey about favorite hobbies. A total of 1,000 people
were surveyed.
Favorite Hobbies
8%
Scrapbooking
24%
Playing Sports
16%
Collecting
22%
Cooking
12%
Reading
18%
Traveling
a. How many selected traveling as their favorite hobby?
Answer:
180 people
Step-by-step explanation:
Total of people surveyed = 1,000
% of people that selected travelling as their favorite hobby = 18 %
Number of people that selected travelling = % that selected travelling of 1,000
= 18% of 1,000
= 18/100 × 1,000
= 180 people
Therefore, 180 people selected travelling as their favorite hobby.
a maintence worker is replacing worn rope on 6 flagpoles.The worker needs 40 feet of rope for each flagpole.At the hardware store,rope is sold by the yard.how many yards of rope does the worker need to buy for all flagpoles
Answer: 80
Step-by-step explanation:
Do 6 x 40=240 to find the amount of rope needed in ft
Do 240 divided by 3 to convert to yards
The 8 in 429.86 has ___________ the value of the 8 in 321.58
Answer:
more than
Step-by-step explanation:
The 8 in 429.86 is nearest because is 80/100 while the 8 in 321.58 is 8/100
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 11ftand a length of 18ft?
Answer:
i got 691ft
Step-by-step explanation:
Answer: 3366
Step-by-step explanation: (17)(11)(18)= 3366
What is the square root of 63 expanded?
Answer:
the square root of 32 times square root of 7 equals the square root of 32 times square root of 7 equals 3 times square root of 7
Step-by-step explanation:
im a mathaholic :0
Question 2(3 - 3x) = -18
Answer:
x=4
Step-by-step explanation:
1. Rearrange terms
[tex]2(-3x+3)=-18[/tex]
2. Distribute
[tex]-6x+6=-18[/tex]
3. Subtract 6 from both sides of the equation
[tex]-6x+6-6=-18-6[/tex]
4. Simplify by subtracting the numbers
[tex]-6x + 6-6=-18-6[/tex]
[tex]-6x=-18-6[/tex]
[tex]-6x=-24[/tex]
5. Divide both sides of the equation by the same factor
[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]
6. Simplify
a) Simplify the fraction
[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]
[tex]x = \frac{-24}{-6}[/tex]
b) Divide the numbers
[tex]x=+4[/tex]
7. Remove the postive sign.
[tex]x=4[/tex]
How many triangles can be constructed with side lengths 5, 6, and 9?
None
One
More than one
9514 1404 393
Answer:
(b) One
Step-by-step explanation:
Specifying the three sides also specifies the angles. Only one such triangle can be made.
Answer:
it is only possible to make one triangle
Step-by-step explanation:
What’s the volume of each cylinder
Answer:
471.24 is cylinder A
282.74 is cylinder B
Step-by-step explanation:
https://www.calculator.net/volume-calculator.html
here's the calculator I used.
Dimensions of a building are 728 feet by 800 feet. If 1 inch represents 8 feet, what are the dimensions of the building on the drawing?
Answer:
91in by 100in
Step-by-step explanation:
Someone please help me!
Answer:
x^2+y^2=25
Step-by-step explanation:
bc x-0=x and ect.
I solved the first 2 but can anybody finish it, please?
Answer:
125:200
Step-by-step explanation:
Answer:
the ratio 5 : 8
Proving triangles similar
Answer: SIDE ANGLE SIDE
Plsssssss help and no one send me a file just tell me the answer
Either F or J
I think it's J, but it might be F :|
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.
PLEASE HELP!!
What is the measure of angle x?
Answer:
54
Step-by-step explanation:
90 +36 = 126
There is 180 degrees in a triangle.
180 - 126 = 54
Simplify 5/8+1/2-(-6)
Answer:
5/8 +4/8 -(-6) =
9/8 + 6 =
9/8 + 48/8 =
57/8
Step-by-step explanation: