Answer: 782.05 miles.
Step-by-step explanation: Percentage is a ratio expressed as fraction of 100, in other words, 61% is represented as [tex]\frac{61}{100}[/tex] or 0.61.
London slept 61% of the journey, so it means he was awake for 39% of the journey. Now the total trip is [tex]\frac{100}{100}[/tex] or 1, so the relationship will be
0.39 ---- 305 miles
1 ----- x
[tex]x=\frac{305}{0.39}[/tex]
x = 782.05
The total length of the trip was 782.05 miles.
Answer: 500
Step-by-step explanation:
This is classwork and i don't understand it at all PLEASE HELP
Answer:
The independent variable is the number of cars
the band washes and the dependent is the number of money they earn
Step-by-step explanation:
Someone please help me ASAP
Given:
The number of alligators in a wildlife is given by the function
[tex]f(x)=3450(1.04)^{x+1}[/tex]
To find:
The average growth rate of change from the 4th year to the 7th year.
Solution:
We have,
[tex]f(x)=3450(1.04)^{x+1}[/tex]
For x=4, we get
[tex]f(4)=3450(1.04)^{4+1}[/tex]
[tex]f(4)=3450(1.04)^{5}[/tex]
[tex]f(4)=4197.4525[/tex]
For x=7, we get
[tex]f(7)=3450(1.04)^{7+1}[/tex]
[tex]f(7)=3450(1.04)^{8}[/tex]
[tex]f(7)=4721.5632[/tex]
Now, the average growth rate of change from the 4th year to the 7th year is
[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]
[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]
[tex]m=\dfrac{524.1107}{3}[/tex]
[tex]m\approx 174.70[/tex]
Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.
There are 23 students in ms day”s class. Only 17 students are present today use the model to find A the number of students that are absent
Answer:
6 students are absent.
A fair coin is flipped three times. Let X be the number of heads observed. (a) Give both the possible values and probability mass function of X. (b) Find P(X ≥ 1) and P(X > 1). (c) Compute E[X] and V ar(X).
Answer:
a)
The possible values are 0, 1, 2 and 3.
The probability mass function of X is:
P(X = 0) = 0.125
P(X = 1) = 0.375
P(X = 2) = 0.375
P(X = 3) = 0.125
b)
[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]
c) E(X) = 1.5, Var(X) = 0.75
Step-by-step explanation:
For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
A fair coin is flipped three times.
This means that [tex]n = 3[/tex]
Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]
a) Give both the possible values and probability mass function of X.
The possible values are from 0 to n, so 0, 1, 2 and 3.
The probability mass function is the probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]
[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]
[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]
[tex]P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
(b) Find P(X ≥ 1) and P(X > 1).
[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]
[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]
(c) Compute E[X] and Var(X).
[tex]E(X) = np = 3*0.5 = 1.5[/tex]
[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]
.Given the assignment categories and weights listed below, what overall grade should the student get in the class? Round your answer to one decimal place. please show me how you got this and what steps u did please hurry
Weight. Average
Homework30%. 95
Projects 15%. 80
Tests 50% 77
Attendance 5% 50
Answer: The answer of your over all grade is 81
Step-by-step explanation:
You do the % then you add them together.
like in this picture
plssssss someone help pls pls pls i dont get this look
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 160°. Find m∠Y
Answer:
I think the answer is 50.
Step-by-step explanation:
Y + S = 90
S = 4 (Y) - 160
160 = 4 (Y)
Y = 40
90 - 40 = 50
Hope it's correct and helps!
Liam opened a savings account with a $400 deposit and a simple interest rate of 7.5%. If the balance of the account is now $670 and there are no deposits or withdraws, how long ago did he open the account?
Answer:
If he deposited weekly, he would be depositing 9 dollars each week.
Step-by-step explanation:
Just thank me later and click the crown at the top of this answer if it helped ;)
Which of the following is an example of a reserved power?
A. raising and maintaining a navy
B. declaring war and governing combat
C. establishing and funding a system of public education
D.coining money and fixing the standards of weights and measures
Answer:
B
Step-by-step explanation:
What is the product of 148x27
Answer:
3996 :)
Step-by-step explanation:
Answer:
3,996
Step-by-step explanation:
Hope this right.but if it's not,im so sorry
Explain answer !
( Will give brainlst)
Find the value of k please
1. -3(-2-4-0)+3-(3-5-7)=
Answer: The answer is 18
Answer:
[tex] - 3 + 5 + 7 - 18 + 36 \\ - 3 + 12 - 18 + 36 \\ - 21 + 36 \\ = 15 \: \: \: ans.[/tex]
What is the value of the expression below when x equals 4?
13 + 15x
Answer:
73
Step-by-step explanation:
Answer:
73
Step-by-step explanation:
13+15*4
13+60
73
Ariel has $181 saved towards the purchase price of a laptop. The laptop she wants to purchase cost $599. Ariel earns $9.50 an hour as a lifeguard. (I have to write an in…
¿*=£×**€×¿¿==£÷€=4÷54
how to Evaluate the expression, given functions f and g: f(x) = 3x - 2, g(x) = 7 – x^2. 3f(1) – 2g(-2)
Find sin (E) given the triangle.
Someone pls help me wit this I’m so confused
Answer: 75.75°
Step-by-step explanation:
Sine is the opposite of the angle divided by the hypotenuse. The opposite side of the angle is 12.6 and the hypotenuse is 13.
sin(Ф) = 12.6/13
Take the inverse sine of both sides, this requires a calculator.
Ф = 75.75°
8. Paris used a semicircle, a rectangle, and a right triangle to form the figure shown.
Which is the best estimate of the area of the figure in square centimeters?
F 100 cm2
G 88 cm2
H 50 cm2
J 74 cm2
= option J
area of figure = 1/2 × 6× 4 + 8×6 + 3.14× 9/2
= 12+ 48 + 3.14× 4.5
= 60+ 14.13
= 74.13 cm²
option J
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
Someone please help and explain will mark brainliest
Answer:
Lee earns 2x.
They both earn 3x.
Step-by-step explanation:
If mic earns x, and lee earns 2 times as much, it will be x * 2, or 2x. Then adding mic's salary, x, the number will result in 2x+x. This simplifies into 3x.
Clark typed 720 words in 18 minutes. How many words can he type in one minute?
Answer:
Clark can type 40 words in one minute
Step-by-step explanation:
Set up a proportion: [tex]\frac{720}{18} = \frac{x}{1}[/tex] Cross multiply, then divide: 720 × 1 = 720, 720 ÷ 18 = 40So, x = 40I hope this helps!
Suppose f(x)=x+2. Find the graph of f(1/3x)
Answer:
f(x)=x+2.
f(1/3x)=1/3 x+2=(x+6)/3or x/3+2
Answer:
graph 3
Step-by-step explanation:
7 4 9 as an improper fraction
Plz I need help this is due at 7:10
Answer:
8units²
Step-by-step explanation:
Area of the trapezoid = 1/2(a+b)h
a and b are the opposite sides
h is the height
Take a square as 1 unit
a = 1 unit
b = 3 units
height h = 4 units
Substitute
A = 1/2(1+3)*4
A = 1/2 * 4 * 4
A = 16/2
A = 8units²
Hence the area of the trapezoid is 8units²
y = -2x + 3
4x - 5y = 13
Answer:
letters do not belong in math
Step-by-step explanation:
1=1-2=3
Last month, sales were £180 000.
This month, sales reached £196 200.
What percentage increase is this?
%?
HELP ME FAST PLSSS<3
A bottle of juice states that a serving is 1/2 cup. How many servings are in a 2-pint container? (one pint= 2 cups)
Answer: 8 servings
Step-by-step explanation:
1/2 cup + 1/2 cup = 1 cup
> 1 cup + 1 cup = 2 cups = one pint
1/2 cup + 1/2 cup = 1 cup
if 4 servings go in one pint then 8 servings goes in 2 pint
Answer:
8 cups/servings.
Explanation:
Can't explain further more because I'm not good in explaining things yet I'm sure that's the correct answer.
A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle
Answer:
12 inches
Step-by-step explanation:
1. The diagonal is the hypotenuse of the right triangle. so since we know one side length, we can figure out the other side length
1. 16^2 + x^2= 20^22. 256 + x^2=4003. x^2=1444. [tex]\sqrt{144}[/tex] = 12-20 greater than or equal to 5w
Hurry!!!
simplify the expression :
1.7h - 8.9 + 3
Answer:
1.7h - 5.9
Step-by-step explanation:
Combine the like terms -8.9 and 3 to get -5.9. Since it's negative, you subtract.
Find an equation in point slope form for the line haveing the slope m=-3 and containing the point (6 7)
Answer:
7-y=-3(6-x)
Step-by-step explanation:
Point slope form:
[tex]y-y_{1} = m(x-x_{1} )[/tex]Substitute y in for 7. Substitute x in for 6. Substitute m in for -3.
7-y=-3(6-x)Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply. ill give brainliest to whoever answers
Answer:
She decided to survey each other child instead of every child
Step-by-step explanation:
Sorry if im wrong
Answer:
so if you have a multie chose it would be A D E
Step-by-step explanation: