The population of Canada is 34,482 thousand people. If the world population is 7 billion people, then what percentage of the worlds population ilives in Canada.
Answer:
About
Explanation:
To find a percent, divide the numerator, 34,482 by 7 billion to get your percent. I rounded it to the nearest whole. the actual percent is actually 4.92%. Hope it helped!
find the GCF of 28 and 30
Answer:
4
Step-by-step explanation:
The biggest number that you can divide 28 and 30 is 4.
Answer:
Greatest common factor (GCF) of 28 and 30 is 2.
Step-by-step explanation:
You find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28 and 30.
An airline makes 200 reservations for a flight who holds 185 passengers. The probability that a passenger arrives for the flight is 0.9 and the passengers are assumed to be independent. Use the normal approximation of Binomial distribution to answer the following questions.
(a) Approximate the probability that all the passengers who arrives can be seated.
(b) Approximate the probability that there are empty seats.
(c) Approximate the number of reservations that the airline should make so that the probability that everyone who arrives can be seated is 0.95 [Hints: since the number of reservations must be integers, please approximate your answer to an integer.]
Answer:
A=0.9
B=0.855
C=198
Step-by-step explanation:
Let X be the binomial random variation with parameters given bellow as
n=200
p=1-0.9=0.1
Note that the value of Z is approximate standard random normal variable with the values of Ф gotten from table
Kindly find attached a detailed solution of the problem with the right annotation and symbols
You have been waiting for months. The latest version of your favorite video game comes out today. You have mowed lawns, done extra chores, and saved up gift money. The new game costs $49.99. You have exactly $50.00 saved. So you are good to go, right?
In 3 to 5 sentences explain if you have enough money to buy that game in Pennsylvania where sales tax is 6%. If you have enough money, will you have change? If you do not have enough money, how much more do you need?
if I had enough money, of course I will have change.
He started by making mini sandwiches. If he has 4 friends coming over and he made 3
sandwiches for each one of them, how many sandwiches did he make?
1 point
Your answer
Answer: 12
Step-by-step explanation:
if 1 friend = 3 sandwiches, and you have 4 friends, you multiply the 3 by 4 and get 12
Simplify.
i68
help plz
the answer is 1 ;-; ;-; ;-; ;-;
helppp pls, I cant seem to place them..
I’m doing a midterm and I’m really not doing too hot. can someone help?
What is the range of the relation shown ir the table
Answer:
The answer is C.
Step-by-step explanation:
The range means the values of y.
Can we conclude that x - 5 is a factor of the polynomial
x^3 − x^2 − 17x − 15
How do you know?
Answer:
use synthetic division
Step-by-step explanation:
use synthetic division to solve [tex]\frac{x^{3}-x^{2} -17x-15}{x-5}[/tex].
if solved correctly, you should get [tex]x^{2} +4x+3[/tex] with no remainder.
because there is no remainder, x-5 is a factor of the polynomial given.
[tex](x-5)[/tex] is a factor of the given polynomial because the value of the polynomial is [tex]0[/tex] at [tex]x=5[/tex].
Given:
The given polynomial is [tex]x^3-x^2-17x-15[/tex].
Explanation:
We know that, [tex](x-c)[/tex] is a factor of [tex]P(x)[/tex] if and only if [tex]f(c)=0[/tex].
We have,
[tex]P(x)=x^3-x^2-17x-15[/tex]
Substituting [tex]x=5[/tex] in the above polynomial, we get
[tex]P(5)=(5)^3-(5)^2-17(5)-15[/tex]
[tex]P(5)=125-25-85-15[/tex]
[tex]P(5)=0[/tex]
Since [tex]P(5)=0[/tex], therefore [tex](x-5)[/tex] is a factor of the given polynomial.
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Algebraic expression of 4x
May someone help me please
Answer:
x=34
Step-by-step explanation:
Use pythaogrean therom to find the answer. a^2+b^2=c^2 With that in mind, the answer 16^2+30^2=1156. To get the exact answer, you'll have to square root the 1156 to get 34. If you want to check you answer, take the 34 and square it then subtract it by one of the numbers it gives you.
solve for x 4x-7=2(x+3)+9 i need explanation
Answer:
x=11 :)
Step-by-step explanation:
PROBLEM I: On Monday the temperature was 70° F. On Tuesday the temperature dropped 10°,
followed by a 5º decrease on Wednesday. On Thursday, the temperature increased 7 degrees followed by a
decrease of 2 degrees on Friday. What was the final temperature on Friday?
Number Sentence:
Solution:
Answer:
Answer 60 degrees
Step-by-step explanation:
70-10 60-5 55+7 62-2 60
9. Verizon offers a cell phone plan that includes a flat fee of $85 per month for the first phone and $7.50 a
month for each additional phone. If Maria's phone bill was $115, how many extra phone lines does she
have?
Answer:
4 phones
Step-by-step explanation:
Answer:15
Step-by-step explanation:
You may have polarized sunglasses that eliminate glare by polarizing the light. When light is polarized, all of the waves are traveling in parallel planes. Suppose vertically polarized light with intensity Io strikes a polarized filter with its axis at an angle of θ with the vertical. The intensity of the transmitted light It and θ are related by the equation Cosθ= √ Io/It. If θ, write It as a function of Io,
Answer:
lt = lo/cos²θStep-by-step explanation:
Given the intensity of the transmitted light It and θ are related by the equation Cosθ= √ Io/It, we are to write lt as a function of lo
Given the equation
Cosθ= √ Io/It
Let us make lt the subject of the formula;
square both sides of the equation
(Cosθ)²= (√ Io/It)²
cos²θ = lo/lt
cross multiply
ltcos²θ = lo
divide both sides by cos²θ
ltcos²θ/ cos²θ= lo/cos²θ
lt = lo/cos²θ
Hence the expression of lt as a function of lo is lt = lo/cos²θ
The accompanying data represent the actual amount (in mL) poured into a short, wide glass for individuals asked to pour 44.3 mL (1.5 ounces).
89.3 68.6 32.7 37.3 39.7 46.7 66.1 79.4 66.4 52.1 47.3
64.4 53.7 63.4 46.2 63.0 92.1 57.6
A) Calculate the values of the mean and standard deviation (in mL).
mean 59.222 mL
standard deviation 16.725 mL
Interpret the values of the mean and standard deviation.
A typical amount poured into a short, wide glass is 19.7 mL. A typical deviation from the mean amount poured is_____mL.
B) The mean amount poured into a tall, slender glass for individuals asked to pour 44.3 mL (1.5 ounces) was 51.283 mL. What do the values of the means for the two types of glasses suggest about the shape of glasses used?
The mean amount for a short, wide glass is greater than the mean amount for a tall, slender glass. This suggests that bartenders tend to pour more into a short, wide glass compared to a tall, slender glass.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data below :
x : 89.3 68.6 32.7 37.3 39.7 46.7 66.1 79.4 66.4 52.1 47.3 64.4 53.7 63.4 46.2 63.0 92.1 57.6
Mean(m) = ΣX / n
ΣX = 1066 ; n = number of observations = 18
Mean(m) = 1066 / 18
Mean = 59.22
Standard deviation (σ) :
Using the online standard deviation calculator :
σ = √(Σ(x - m)²/n-1)
σ = √264.198395
σ = 16.72
The mean amount poured into a glass for the 18 samples is 59.22 while the variation in the data samples from the mean value is 16.72.
typical amount poured into a short, wide glass is 19.7 mL. A typical deviation from the mean amount poured is_____mL.
(59.22 - 19.7) mL = 39.52mL
Mean amount poured into a tall slender glass = 51.283
Mean (short wide glass) = 59.22mL
Mean (tall slender glass) = 51.283mL
Short wide glass > tall slender glass
Mari swims every 4 days and runs every 6 days. In how many days will she both swim and run on the same day?
Answer:
12
Step-by-step explanation:
We find the LCM which is simply 12.
how to solve 33 times 32
Answer:
1056
Step-by-step explanation:
33*32= 1056
(33*30)+(33*2)= (990)+(66)=1056
PLEASE HELP WOULD BE APPRECIATED!!!
Mary is saving money for college expenses. She saves the same amount each month.
The table shows the amount of money Mary has saved after 4 and 7 months.
Answer: a, c, and d
Step-by-step explanation: hard to explain
hope this helped :)
Find −914+27. Write your answer as a fraction in simplest form.
Answer:
- +=_
914-27=887
887 answer this fraction
a 14 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 4 times as long as the first piece find the length of the pieces
Answer:
the first is 2 inches the 2nd one 4 inches and the 3rd is 8 inches
Step-by-step explanation:
The length of the piece is 2, 4 and 8.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that a 14 inch board is to be cut into three pieces
Let first piece be x.
The second piece is twice as long as the first piece
Second piece is 2x
The third piece is 4 times as long as the first piece.
Third piece is 4x
x+2x+4x=14
7x=14
Divide both sides by 7
x=2
Hence, the length of the piece is 2, 4 and 8.
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Which of the following led the church in the Byzantine empire ?
Answer:
Constantine
Step-by-step explanation:
In 330 A.D., Roman Emperor Constantine I chose Byzantium as the site of a “New Rome” with an eponymous capital city, Constantinople. Five years earlier, at the Council of Nicaea, Constantine had established Christianity — once an obscure Jewish sect — as Rome's official religion.
Use the graph of the function. Determine over what interval(s) the function is positive or negative.
Answer:
The function is positive
Step-by-step explanation:
As you can see, the line makes a U shape aiming for the positive side of the graph.
The function in which the function is positive is (- 2, -1] ∪ [1, 2) and negative is [-1 to 1].
We have a graph of a function f(x).
We have to determine over what interval the function is positive or negative.
Define Function.A function from a set X to a set Y is an assignment of an element of Y to each element of X. The set X is called the domain of the function and the set Y is called the codomain of the function. For example - shown below is a piecewise function -
[tex]f(x) = \left\{ \begin{array}{ll} x^2 \quad x > 0 \\ 0 \quad \text{else} \end{array} \right.[/tex]
According to the question, we have a graph.
It can be seen in graph that the function f(x) is '+' in ranges : - 2 to -1 and 1 to 2.
The interval in which f(x) is positive is → (- 2, -1] ∪ [1, 2).
In the interval of : -1 to 1, the function has a negative value.
The interval is → [-1 to 1]
Hence, the function in which the function is positive is (- 2, -1] ∪ [1, 2) and negative is [-1 to 1].
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6x-2y=24 what's the slope and Y intercept?
helppo meeeee plz ty! explain plz!
Answer:
[tex]=256x^8y^{20}[/tex]
Step-by-step explanation:
We have the expression:
[tex](4x^2y^5)^4[/tex]
We can use the power of a product property:
[tex](ab)^x=a^xb^x[/tex]
This yields:
[tex]=(4)^4\cdot(x^2)^4\cdot(y^5)^4[/tex]
We can evaluate 4 to the fourth:
[tex]=256(x^2)^4\cdot(y^5)^4[/tex]
Now, we can use the power of a power property:
[tex](x^a)^b=x^{ab}[/tex]
So:
[tex]=256(x^{2(4)})(y^{5(4)})[/tex]
Multiply:
[tex]=256x^8y^{20}[/tex]
And we're done!
Answer:
256x^8 y^20
that's the answer I got when I simplified it
You multiply the dimensions of Triangle A by 3 to create Triangle B. Select the conclusion(s)
that you can make about the similar triangles.
The ratio of the perimeters (Triangle A to
Triangle B) is :
The ratio of the perimeters (Triangle B to
Triangle A) is 1 to 3.
The ratio of the areas (Triangle B to Triangle A)
is 9:1.
The ratio of the areas (Triangle A to Triangle B)
is 1 to 6.
There is not enough information to make any
of the conclusions above.
Answer:There is not enough information to make any of the conclusions above
Step-by-step explanation:
there are 8 teachers in in a school when a 35 year old teacher was transferred and another teacher join the average age was increased by 2 years how old is the new teacher
Answer:51
Step-by-step explanation:
Triangle ABC is similar to triangle DEF solve for r?
Answer:
send a picture too understand it
Step-by-step explanation:
we dont have enough information
Find all solutions n to the equation
$$6^{2n+1}+6^2=6^n+6^{n+3}.$$
9514 1404 393
Answer:
n = -1 or 2
Step-by-step explanation:
The equation can be rewritten using x = 6^n. Then we can solve the quadratic.
[tex]6^{2n+1}+6^2=6^n+6^{n+3}\\\\6\cdot(6^n)^2+6^2=6^n+6^3\cdot6^n\\\\6x^2+6^2=x(1+6^3)\\\\6x^2-6^3x-x+6^2=0\qquad\text{subtract $x(1+6^3)$}\\\\6x(x-6^2)-1(x-6^2)=0\\\\(6x-1)(x-6^2)=0\\\\x=6^n=6^{-1}\quad\text{or}\quad x=6^n=6^2\\\\\boxed{n=-1\text{ or }2}[/tex]
_____
A graphing calculator can find the zeros of the exponential function ...
y = 6^(2n+1) +6^2 -6^n -6^(n+3) . . . . . right side subtracted
Almost all companies utilize some type of year-end performance review for their employees. Human Resources (HR) at the University of Texas Health Science Center provides guidelines for supervisors rating their subordinates. For example, raters are advised to examine their ratings for a tendency to be either too lenient or too harsh. According to HR, "if you have this tendency, consider using a normal distribution—10% of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable." Suppose you are rating an employee’s performance on a scale of 1 (lowest) to 100 (highest). Also, assume the ratings follow a normal distribution with a mean of 50 and a standard deviation of 15.
a. What is the lowest rating you should give to an "exemplary" employee if you follow the University of Texas HR guidelines?
b. What is the lowest rating you should give to a "competent" employee if you follow the University of Texas HR guidelines?
Answer and Step-by-step explanation:
Solution:
Given:
µ = 50
∂ = 15
Lowest rating given to exemplary.
The top 10 %of the employees are related exemplary:
P(x > L) = 10 % =0.10
The average probability table in the appendix contains the only probability of the form.
P (0 < x< L ) = p ( x > 0 ) – P ( x > L )
= 0.5 -0.10
= 0.40
z- Score in the normal probability table in the appendix corresponding to a probability of 0.40 or the closest probability.
Z = 1.28
The standardized score is the value x decreased by the mean and then divided by the standard deviation.
Z = x - µ / σ
L = x = µ +z0
= 50 + 1.28(15)
= 69.2
Lowest rating giving to competent:
The lower boundary of competent is boundary of bottom 30%
P(x < L ) = 30% = 0.30
The normal probability table contains only probability of the form p( 0≤z≤z0)
P( 0< x < -L) = P(L < x < 0)
= p(x < 0) – p(x < L)
=0.5 – 0.30
= 0.20
Z score in normal probability corresponding to the probability of 0.20
-z = 0.52
Z= - 0.52
Value x decreased by the mean and divide by standard deviation:
Z = x - µ / ∂
L = x = µ + zo
= 50 – 0.52(15)
= 42.2