Answer:
The expected total amount of time in minutes the operator will spend on the calls each day is of 210 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n-values of a normal variable:
For the sum of a sample of n values, the mean is of [tex]M = n\mu[/tex] and the standard deviation is of [tex]s = \sigma\sqrt{n}[/tex]
Average 2.8 minutes
This means that [tex]\mu = 2.8[/tex]
75 calls each day.
This means that [tex]n = 75[/tex]
What is the expected total amount of time in minutes the operator will spend on the calls each day?
[tex]M = n\mu = 75(2.8) = 210[/tex]
The expected total amount of time in minutes the operator will spend on the calls each day is of 210 minutes.
Convert the fraction greater than one into a mixed number 9/4
Answer: 2 1/4
Step-by-step explanation:
Help please!
Fully factorise
Answer:
a.8y³-6y
taking common
2y(4y²-3)
is a required answer
b.
3x²-20x+12
doing middle term factorization
3x²-18x-2x+12
3x(x-6)-2(x-6)
(x-6)(3x-2)
is a required answer .
Watch help video
Solve for 2. Round to the nearest tenth, if necessary.
5-3
O
52
х
N
Answer:
x = 3.3
Step-by-step explanation:
Reference angle = 51°
Hypotenuse = x
Adjacent = 5.3
Apply trigonometric function CAH, which is:
Cos 51° = Adj/Hyp
Cos 51° = 5.3/x
x*Cos 51° = 5.3
x = 5.3/Cos 51°
x = 3.3 (nearest tenth)
Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?
Answer:
What is 1/3 of 814
Step-by-step explanation:
What is 1/3 of 814
Answer: I think C
Step-by-step explanation:
What is the outlier in the set of data? (2,4,6,8,9,9,45)
Answer:
45
Step-by-step explanation:
This is the outlier because it is much larger than all of the other numbers in the set.
Write a number in which the digit 1 is worth 10 times as much as it is in 62,901
Answer:9
Step-by-step explanation:
No step
Answer:
the answer for this is 1
Step-by-step explanation:
cause ten times of 1 is 1.
Please don't confuse yourself with
1 times of 10.that one is 10
ten times of 1, means 1×1×1×1×1×1×1×1×1×1 it is still 1.
the second one is 10 ×1 =10.
what are the integers from 6 to 25
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Answer:
✐ The integers from 6 to 25 are ⎆ [tex]\large\bold{7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22,23, 24}[/tex]
Step-by-step explanation:
Natural numbers are numbers that are greater than 0 (all numbers starting from positive 1). All natural numbers are integers. So, in this case ⎇ integers = natural numbers (note :- only in this case)
Jenna just got done jumping at the Trampoline center. The total cost of the session was $15.23
She had to pay an entrance fee of $7.25 and $1.45 for every minute she was on the trampoline.
Answer:
≈ 5.5 minutes.
Step-by-step explanation:
Let m = number of minutes on the trampoline.
[tex]1.45m+7.25=15.23\\1.45m=7.98\\m=5.5[/tex]
She was on the trampoline for approximately 5.5 minutes.
Answer:
= 5.5 minutes
Step-by-step explanation:
1.45 + 7.25 = 15. 23
1. 45 = 15. 23 - 7. 25
1. 45 = 7 . 98
m = 5.5
Hope this answer helps you :)
Have a great day
Mark brainliest
explanation would really help
Answer:
35
Step-by-step explanation:
the whole line is 49 and line DB is 30.
minus 16 from 30 so 30-16=14
then you minus line CB from EB so 49-14=35
that makes line EC 35
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
D. 268.1 m³
Step-by-step explanation:
Volume = 4/3 * 3.14 * 4³
Volume = 4/3 * 201
Volume = 268 ≈ 268.1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
If the measure of arc CB is 8/3 units, what is the measure of CAB?
Question:
If the measure of arc CB is [tex]\frac{8}{3} \pi[/tex] units, what is the measure of ∠CAB?
Answer:
120°
Step-by-step explanation:
The figure has been attached to this response.
The figure shows a circle centered at A and has a radius of 4 units.
Also, the length of the arc CB (as given in the question) is [tex]\frac{8}{3} \pi[/tex] units.
The length L of an arc is given by;
L = [tex]\frac{\beta }{360} * 2\pi * r[/tex] -----------------(i)
Where;
β = angle subtended by the arc at the center of the circle and measured in degrees
r = radius of the circle
From the question;
β = ∠CAB
r = 4 units
L = [tex]\frac{8}{3} \pi[/tex]
Substitute these values into equation (i) as follows;
[tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 2\pi * 4[/tex]
=> [tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 8\pi[/tex]
Cancel 8[tex]\pi[/tex] on both sides
[tex]\frac{1}{3}[/tex] = [tex]\frac{\beta }{360}[/tex]
Cross multiply
3 x β = 360 x 1
3β = 360
Divide both sides by 3
[tex]\frac{3\beta }{3} = \frac{360}{3}[/tex]
β = 120°
Therefore, the measure of ∠CAB is 120°
Seventy-six percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 67% have an emergency locator, whereas 88% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)
Required:
a. If it has an emergency locator, what is the probability that it will not be discovered?
b. If it does not have an emergency locator, what is the probability that it will be discovered?
Answer:
a. 0.0535 = 5.35% probability that it will not be discovered
b. 0.9465 = 94.65% probability that it will be discovered
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. If it has an emergency locator, what is the probability that it will not be discovered?
Event A: Has an emergency locator.
Event B: Not discovered.
Probability of having an emergency locator:
67% of 76%(discovered).
100 - 88 = 12% of 100 - 76 = 24%(not discovered). So
[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]
Probability of having an emergency locator and not being discovered:
12% of 24%. So
[tex]P(A \cap B) = 0.12*0.24[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12*0.24}{0.538} = 0.0535[/tex]
0.0535 = 5.35% probability that it will not be discovered.
b. If it does not have an emergency locator, what is the probability that it will be discovered?
Event A: Has an emergency locator.
Event B: Discovered.
Probability of having an emergency locator:
67% of 76%(discovered).
100 - 88 = 12% of 100 - 76 = 24%(not discovered). So
[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]
Probability of having an emergency locator not being discovered:
67% of 76%. So
[tex]P(A \cap B) = 0.67*0.76[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.67*0.76}{0.538} = 0.9465[/tex]
0.9465 = 94.65% probability that it will be discovered
What's 1/24 + 4/8 simplified?
Answer:
13/24
Step-by-step explanation:
1/24 + 4/8
first make denominator equal
1/24 + 4*3/8*3
1/24 + 12/24 = 13/24
then check if it can be further simplified
13/24
It cannot so you're done!
Hope this helps!
Answer:
13/24
Step-by-step explanation:
reduce the frcation with 4
1/24 + 1/2
write all numerators above the least common denominator 24
1+12/24
Calcuate 1+12/ 24
which = 13/24
Easy please help me with this assignment
Step-by-step explanation:
y=x may be
may it helped u ....
A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?
Step-by-step explanation:
Well it would be 8.75 ×7 which is 61.25m
The screen at Dallas’ AT&T Stadium is 175 feet wide. A movie theatre screen with similar dimensions is 40 feet wide with a screen area of 896 ft². What is the area of the screen at AT&T Stadium? Round to the nearest square foot.
Answer: The area of the screen at AT&T Stadium = 17150 square foot.
Step-by-step explanation:
When two shapes are similar then,
[tex]\dfrac{(\text{Side of first shape})^2}{(\text{Side of second shape})^2}=\dfrac{\text{area of first shape}}{\text{area of second shape}}[/tex]
As per given , we have
[tex]\dfrac{(175)^2}{(40)^2}=\dfrac{\text{Area of AT}\ \&\text{T Stadium }}{896}\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=\dfrac{30625}{1600}\times896\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=17150[/tex]
Hence, the area of the screen at AT&T Stadium = 17150 square foot.
For brainlest pls ……..
Answer:
4.5 cm²
Step-by-step explanation:
The given shape is a parallelogram , and the area of a parallelogram is ,
Area :-
1/2 * b * hSo , that,
=> A = 1/2 * 2.5 * 1.8
=> A = 4.5 cm²
Answer:
A = 4.5 m²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 2.5 and h = 1.8 , then
A = 2.5 × 1.8 = 4.5 m²
Average U.S. income is usually reported as
income.
a.
b.
seasonally adjusted
virtual
mean
C.
d.
median
What type of solution would tho following system have?
y=(9/3)x-2
y=3x-2
One Solution
No Solution
Infinite Solutions
Answer:
one solution I think is the answer
please answer ASAP (math)
Answer: Undefined
Step-by-step explanation:
Replace x with -5
There is a Chick-fil-a exactly 6 miles due east of Berkmar Middle School. There is also a Wal-Mart 6 miles due north of Berkmar Middle School. How far is the Chick-fil-a from the Wal-Mart? Leave your answer in its simplest radical form.
Answer:
6√2 miles
Step-by-step explanation:
Using the solution diagram drawn :
We have a right angled triangle, the distance between Walmart mad chick-FIL is a measure of the hypotenus of the right angled triangle ;
The hypotenus, = √(opposite² + adjacent²)
Hypotenus = √6² + 6²
Hypotenus = √(36 + 36)
Hypotenus = √72
Hypotenus = √36 * 2 = √36 * √2 = 6√2 miles
6 1/8 qt = ___ c please help
Answer:
24 1/2 cups
Step-by-step explanation:
we can change 6 1/8 into 49/4
there are 2 cups in 1 quart
now we can set up a proportion:
2÷1 = 'c'÷ 49/4
cross-multiply to get:
49/4 × 2 = c
49/2 = c
c = 24.5
Solve P = 8/3 R + 30 for R.
Answer:
R = (3P-30)/8
Step-by-step explanation:
subtract 30 from each side to get:
P-30 = [tex]\frac{8}{3}[/tex]R
multiply each side by [tex]\frac{3}{8}[/tex] to get:
[tex]\frac{3}{8}[/tex] · P - 30 = R
R = (3P-30)/8
Help plz I’m confused
Answer:
C.
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] is between 0 and 1
Only 1 point is between 0 and 1
C.
Find the 66th term of the arithmetic sequence -28,-45,-62
Answer:
Using the formula
an = a of 1 + (n-1)(d)
an = -28 + (n-1)(-17)
simplify
an = -17n - 11
Now that we have the formula, we just plug in 66 for n
a66 = -17(66) - 11
a66 = -1133
At Bill’s Burger Barn, every time you buy a burger there is a one in eight chance of winning a free burger. Nicholas bought a hamburger every day for five days. What is the probability that Nicholas wins 1 free hamburger this week?
Answer:
im not sure about this one but my answer is 0.025.
Step-by-step explanation:
if there is a 1 out of 8 chance of getting a free burger, convert that into 1/8. divide that by 5 and you get 0.025.
What is the 11th term of the geometric sequence with this explicit formula?
an = 5.(-2)(n-1)
Answer:
5,120
Step-by-step explanation:
an = 5.(-2)^(n-1)
a11 = 5.(-2)^(11-1)
= 5.(-2)^10
= 5.(1,024)
= 5,120
Resuelve
Una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus
clientes. En la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en
Hermosillo 4/16 y en la Ciudad de Guaymas 3/8 ¿en qué ciudad es más probable que viva el ganador?)
Answer:
Es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.
Step-by-step explanation:
Dado que una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus clientes, y en la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en Hermosillo 4/16 y en la Ciudad de Guaymas 3/8, para determinar en qué ciudad es más probable que viva el ganador se deben realizar los siguientes cálculos:
Nogales = 5/40 = 1/8 = 0.125
Obregón = 1/4 = 0.25
Hermosillo = 1/4 = 0.25
Guaymas = 3/8 = 0.375
Por lo tanto, es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.
Según las proporciones, hay que es más probable que el ganador viva en Guaymas.
En la ciudad de Nogales se repartieron 5/40 del total de los boletos, por eso la proporción es [tex]\frac{5}{40} = 0.125[/tex]El la ciudad de Obregón 1/4, o sea, la proporción es [tex]\frac{1}{4} = 0.25[/tex].El la ciudad de Hermosillo 4/16, o sea, la proporción es [tex]\frac{4}{16} = 0.25[/tex].En la ciudad de Guaymas 3/8, o sea, la proporción es [tex]\frac{3}{8} = 0.375[/tex].Por la proporción mas alta, es más probable que el ganador viva en Guaymas.
Un problema similar es dado en https://brainly.com/question/24615636
Keke's favorite book weighs 2lbs 14oz. How many total ounces does her book weigh? *
Answer:
i think it is 46
Step-by-step explanation:
Answer:
2.9lbs
Step-by-step explanation:
there are 14oz in a pound so 14/16 is 0.875. Rounded up to .9lbs.
A pizza is cut into 3 slices. The first piece was 2over 9 and the second one was 2 over 7. How big or small was the last piece
Answer:
2/5
Step-by-step explanation:
ok