how do you do the probability section?
Sympathetic Division function
the number of calls received by an office on Monday morning between 8:00am and 9:30 am has a mean of 3.Calculate the probability of getting no more than 3 calls between eight and nine in the morning.
Answer:
Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.
In mathematical terms,
X
∼
P
o
i
s
s
o
n
(
2
)
.
The PMF of the random variable X is given as,
P
(
X
=
x
)
=
e
−
2
×
2
x
x
!
f
o
r
x
=
0
,
1
,
2
,
.
.
.
.
.
=
0
E
l
s
e
w
h
e
r
e
The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,
P
(
X
≤
3
)
=
P
(
X
=
0
)
+
P
(
X
=
1
)
+
P
(
X
=
2
)
+
P
(
X
=
3
)
=
e
−
2
×
2
0
0
!
+
e
−
2
×
2
1
1
!
+
e
−
2
×
2
2
2
!
+
e
−
2
×
2
3
3
!
=
0
.13534
+
0
.27067
+
0
.27067
+
0
.18045
=
0
.85712
Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:
Question and choices are in the photo please explain the answer
Step-by-step explanation:
but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16
factorise fully the expression 2d^2-7d
Answer:
d(2d-7)
Step-by-step explanation:
2d^2 -7d
take common
=d(2d-7)
[tex] \large \boxed{ \rightarrow d(2d - 7)}[/tex]
Solution :[tex] \rightarrow2d {}^{2} - 7d[/tex]
[tex] \rightarrow d(2d - 7)[/tex]
[tex] \mathfrak{hope \:it \: helps \: you.....}[/tex]
Assuming the trend that exists in the data set below applies to all students, how long should Trevor study if
he want to get at least a 75% on the test?
Answer:
He should study for at least 88 minutes
Step-by-step explanation:
The missing parameters are:
[tex]y = 0.36805x + 42.6864[/tex] --- equation of trend
[tex]y \to grade[/tex]
[tex]x \to time[/tex]
Required
x when [tex]y = 75[/tex]
[tex]y = 0.36805x + 42.6864[/tex] becomes
[tex]75 = 0.36805x + 42.6864[/tex]
Collect like terms
[tex]0.36805x = 75 - 42.6864[/tex]
[tex]0.36805x = 32.3136[/tex]
Solve for x
[tex]x = \frac{32.3136}{0.36805}[/tex]
[tex]x = 87.80[/tex]
[tex]x \approx 88[/tex]
Answer this equation
1 . Y/-7 = -7
Step-by-step explanation:
Y/-7= -7
Cross multiple
-7× -7 =Y
49 =Y
Answer:
y = 49
Step-by-step explanation:
y ÷ - 7 = - 7
y ÷ - 7 × - 7 = - 7 × - 7
y = 49
What is a carbon footprint? What are some actions you can take to reduce your carbon footprint?
need help quickkkk!!
Answer:
1 + 1 = 1 is the correct answer ok
Answer:
1+1 is 2 it is wrong here in explanation it is good way to solve
Step-by-step explanation:
take 1 finger and 1 more finger how much is it 2 ! ok so bye do good work !!!
Find the value of x.
6 3 2 x
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
To solve this problem, one must use the angle bisector theorem. This theorem provides a proportion between the sides formed by an angle bisector. One can apply this theorem here by forming the following proportion,
[tex]\frac{BA}{BC}=\frac{AD}{DC}[/tex]
Substitute,
[tex]\frac{x}{6}=\frac{2}{3}[/tex]
Cross products,
[tex]3(x)=2(6)[/tex]
Simplify,
[tex]3x=12[/tex]
Inverse operations,
[tex]3x=12\\\\x = 4[/tex]
(b) In a continuous series the average weight of some students is 75 kg and the sum of the weights is 6000 kg. Find the number of students.
Answer:
the number of students is 80
Help please !! Thank u
Answer:
parallel = same slope (-2x)
so it's y=-2x + b
let's find b by plugging in 1 for x and 3 for y (the coordinates)
3 = -2*1 + b
3 = -2 + b
5 = b
there you have it:
y = -2x +5
brainliest would really be appropriated (possible when someone else also leaves an answer)
MATH WIZZES, PLEASE HELP ME OUT HERE!! I NEED THIS PROBLEM DONE SOON, BECUASE IT'S DUE IN LIKE 2 MINUTES HELLPPPPPPP
The equations in this system were added to solve for y. What is the value of y?
x + 6 y = 10. -x + 3 y = -15. = 9 y = -5.
Answer:
y=-5/9
Step-by-step explanation:
it says 9y=-5
divide both sides by 9
y=-5/9
cotA + tanA= secAcosecA
Step-by-step explanation:
cotA + tanA
= cosA / sinA+ sinA/ cosA
= cos2A + sin2A / sinA* cosA
= 1 / sinA* cosA
=1/ sinA * 1/ cosA
= cosecA *secA
=secAcosecA
[tex]\frac{cos^2A + sin^2A}{sinAcosA}[/tex]Answer:
Step-by-step explanation:
cotA + tanA = secAcosecA
LHS=cotA + tanA
=[tex]\frac{cosA}{sinA}[/tex] + [tex]\frac{sinA}{cosA}[/tex]
take lcm of the denominator
=[tex]\frac{cosA*cosA + sinA*sinA}{sinAcosA}[/tex](COS^2A + sin^2A =1)
=[tex]\frac{1}{sinAcosA}[/tex]
=1/sinA * 1/cosA
=cosecA*secA
=secAcosecA
therefore LHS=RHS
hence proved.
Please help this is due today!!
Answer:
c is the answer
Step-by-step explanation:
Graphs really aren't my thing but I really feel like it is c
GOOD LUCK HOPEFULLY YOU GET A GOOD GRADE
Mr. K needs to hire an electrician. The electrician charges $82 for making a house call and an additional $55.00 per hour of labor. If Mr. K only budgeted $300 for the electrical repair, write, solve, and graph an inequality that shows the maximum amount of hours of labor Mr. K can afford to hire the electrician.
Answer:
[tex] \displaystyle4 \: \text{hours}[/tex]
Step-by-step explanation:
we are given that,
The electrician charges $82 for making a house call an additional $55.00 per hour of laborMr. K only budgeted $300 for the electrical repairlet the hours be h
from the first condition we obtain:
[tex] \displaystyle 82[/tex]
from the second condition we ge:
[tex] \displaystyle 82+ 55h[/tex]
from the final condition we acquire:
[tex] \displaystyle 82 + 55h \leqslant 300[/tex]
to figure out the hour we have to solve the equation to do so
cancel 82 from both sides:
[tex] \displaystyle 55h \leqslant 215[/tex]
divide both sides by 55:
[tex] \displaystyle h \leqslant 3.9636 \dots[/tex]
since 3.96.... is very close to 4 he can maximum afford 4 hours of labor
[tex] \displaystyle h = 4[/tex]
refer the attachment
Write an equation of a line in slope-intercept form with a slope of -12 and a y-intercept of 3.
a
y = 3x - 12
y = -12(3)+b
Ob
Ос
3= -12x + b
Od
y=-12x + 3
Answer:
y = -12x + 3
Step-by-step explanation:
The slope-intercept form of an equation can be written as y = mx + b where m is the slope and b is the y-intercept. We are given both values, so we can plug them into the equation to get:
y = mx + b
y = -12x + 3
i think of a number, multiply it by 3, add 4 and square the answer
Step-by-step explanation:
I can read your mind you know
just ask me how
and see the magic
think of any number,
add it by 3 then by 5 then by 1.
multiply it by two
divide it by two
subtract the first number you thought of from your current number
your answer will be 9
I'm I correct ?
Answer:
2 x 3 = 6 + 4 = 10 squared = 100
Step-by-step explanation:
The square of a number is the number that can be multiplied by itself to get that specific number, for example 10 x 10 = 100
SUPER URGENT: Find secθ.
Answer:
B
Step-by-step explanation:
√((-20)²+21²)=√(400+441)=√841=29
cos θ=-20/29
sec θ=-29/20
40 POINTS!!!
All integers are either odd or even. Conceptually, an integer is odd if it has a remainder of 1 when dividing by 2. And an integer is even if it has a remainder of 0 when dividing by 2.
But when proving something rigorously, mathematicians use more precise definitions, like these: an integer is odd if it can be written in the form 2k + 1, where k is some integer. An integer is even if it can be written in the form 2k, where k is some integer. For example, 13 is odd because 13 can be written as 2(6) + 1.
With these definitions, use complete sentences to explain why zero is an even number.
Answer:
[tex] = > 2k + 1 \\ when \: k = 0 \\ 2(0) + 1 \\ = 1 \\ \therefore \: zero \: is \: odd \\ \\ = > 2k \\ when \: k = 0 \\ 2(0) \\ = 0 \\ \therefore \: zero \: is \: not \: even \: because \: when \: divided \: by \: 2 \: \: remainder \: is \: zero[/tex]
Question
Solve the inequality b – 27 > 3 and write the solution in interval notation, using improper fractions if necessary.
Answer:
(30, ∞)
Step-by-step explanation:
b – 27 > 3
Add 27 to both sides
b > 30
In interval notation
(30, ∞)
Answer:
(30,∞ )
Step-by-step explanation:
b> 27+3
b> 30
What is the approximate area covered by the label?
Collins middle school's basketball team won 75% of their games if they lost the board games how many games did they win?
The phrase in the original question is:
....if they lost 12 games......
not
....if they lost board games......
Answer:
36 games won
Step-by-step explanation:
Given
[tex]\%Win = 75\%[/tex]
[tex]Lost = 12\ games[/tex]
Required
Number of games won
Give that: [tex]\%Win = 75\%[/tex]
The percentage loss is:
[tex]\%Loss = 100\% - \%Win[/tex]
So, we have:
[tex]\%Loss = 100\% - 75\%[/tex]
[tex]\%Loss = 25\%[/tex]
Calculate the number of games (n) using:
[tex]Lost = \%Loss * n[/tex]
[tex]12 = 25\% * n[/tex]
Make n the subject
[tex]n = \frac{12}{25\%}[/tex]
[tex]n = 48[/tex]
So, the games won is:
[tex]Win = n - Lost[/tex]
[tex]Win = 48 - 12[/tex]
[tex]Win = 36[/tex]
Find the length x
Plz help ASAP
Answer:
Step-by-step explanation:
please help find x!! asap
Answer:
x = 60
Step-by-step explanation:
The angle 30 is on the same vertical line as the angle that is adjacent to the missing angle x. they form 90 degrees.
Find the gradient of the line segment between the points (-4,4) and (0,12).
gradient = 12-4 ÷0-(-4)=8÷4=2
Answer:
gradient = 2
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (0, 12)
m = [tex]\frac{12-4}{0+4}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Find the breadth of a rectangular park whose area is 54.6 sq m and 15.6 m long
Answer:
breadth = 3.5 m
Step-by-step explanation:
length = 15.6 m
Area of rectangle = 54.6 sqm
breadth = [tex]\frac{Area}{length}[/tex]
[tex]= \frac{54.6}{15.6}\\\\= \frac{54.6*10}{15.6*10}\\\\=\frac{546}{156}\\\\= 3.5[/tex]
Which of the following is a solution set to the equation x^2-10x+16=0
Answer:
x=2. or. x=8
Step-by-step explanation:
x^2-10x+16=0. s=-10
x^2-8x-2x+16=0. p=16
x(x-8)-2(x-8)=0. [-8,-2]
(x-2)(x-8)
x=2. or. x=8
I don’t understand this equation. m= -3 and b = 3
can you please put the equation so i can answer it?
thank you!
How do you find the perimeter of a rectangle with the dimensions
(x^2+2x-16) ft (length)
and (x+5) ft (width)
Answer:
(2x²+6x-22) ft
Step-by-step explanation:
l = (x²+2x-16) ft
and w = (x+5) ft
the Perimeter =
2(x²+2x-16) +2(x+5)
= 2x²+4x-32+2x+10
= 2x²+6x-22