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.
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]
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]
pleaseeee help meee i dont understand
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
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!
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:
Evaluate 7 + x(-3)
When x = -6
Answer: 25
Step-by-step explanation:
7 + -6(-3)
7 + 18 = 25
Answer:
25
Step-by-step explanation:
x= -6
7+ -6(-3)=
7+ (18)=25
25
y = -2x + 3
4x - 5y = 13
Answer:
letters do not belong in math
Step-by-step explanation:
1=1-2=3
A fern grows 7/9 of a foot per year. How much will it grow in 5 years
Answer:
46.6 inches in 5 years
Step-by-step explanation:
Answer: 46.6 inches in five years
Step-by-step explanation:
SO you wanna multiply 7.9 by 5 to get your grand total
are 4/5 and 1/2 equivalent explain
Answer:
They are not
Step-by-step explanation:
4/5 cannot be simplified, plus 1/2 indicates half of a fraction but 4/5 is not half if a fraction, therefore they are not equivalent.
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)Explain answer !
( Will give brainlst)
Amy and three of her friends went to lunch. The total bill was $54.00. If they wanted to leave a 20% tip how
much more is added tot he bill?
If the girls split the bill evenly, how much does Amy pay?
Answer:
$16.20
Step-by-step explanation:
Bill: $54.00
Tip: 20%
People: 4
To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40
10%: $5.40
5.40 times 2 = $10.80
54.00 + 10.80 = 64.80
Grand Total= $64.80
Since there are 4 people, we need to divide by 4:
64.80 divided by 4 = $16.20
what factors you think determines more earthquakes will occur in an area
Answer:
Ground shaking is the primary cause of earthquake damage to man-made structures. Many factors influence the strength of earthquake shaking at a site including the earthquake's magnitude, the site's proximity to the fault, the local geology, and the soil type.
The places on the planet where one plate meets another are the most prone to earthquakes. The specific surfaces where parcels of earth slip past each other are called faults. As plates move, pressure builds up across their boundaries, while friction holds them in place
Over 80 per cent of large earthquakes occur around the edges of the Pacific Ocean, an area known as the 'Ring of Fire'; this where the Pacific plate is being subducted beneath the surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.
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
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.
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.
The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants?
Help please this is urgent
Answer:
25 - 5a
Step-by-step explanation:
5(5 - a)
25 - 5a
Hope this helps, thank you !!
-20 greater than or equal to 5w
Hurry!!!
This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 3 fingers.
How much of each ingredient does she need?
Recipe: Makes 18
120 g butter
60 g sugar
180 g flour
(I don't know if this is the method you are supposed to use, but I believe you will still get the same answer!)
Answer: 20 g butter, 10 g sugar, 30 g flour
Step-by-step explanation: First off, if we look at 3 and 18, you notice that three is a factor or 18, going into the number 6 times.
So, if you are making 6 times less of the original amount, divide each measurement by six to give you your answer.
120/6 = 20
60/6 = 10
180/6 = 30
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
evaluate d+5-f if d +16 and f-18
Answer:
39
Step-by-step explanation:
d+5-f
Plug in the values of d and f
(16)+5-(-18)
Then simplify (Don't forget that since theres a double negative, that changes to a positive.)
21+18
39
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
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°
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 ;)
calculate the area of this triangle 18cm, 14cm and height is 11cm
Answer : 99cm^2
Hope this helps
The area of the triangle with a height of 11 cm and a base of 18 cm is,
99 cm².
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We also know,
The way of classifying a triangle,
If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
The area of a triangle is half times the product of the height and base.
The given triangle has a height of 11 cm and a base of 18 cm.
Therefore, The area of the triangle is,
= (1/2)×18×11 cm².
= 99 cm².
learn more about triangles here :
https://brainly.com/question/2773823
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how to Evaluate the expression, given functions f and g: f(x) = 3x - 2, g(x) = 7 – x^2. 3f(1) – 2g(-2)
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: