Answer:
a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates
Step-by-step explanation:
For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used 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.
70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.
This means that [tex]p = 0.7[/tex]
Five residential subscribers are randomly selected from San Juan, Puerto Rico
This means that [tex]n = 5[/tex]
a. All five qualify for the favorable rate
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]
0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. At least four qualify for the favorable rates
This is
[tex]P(X \geq 4) = P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602[/tex]
[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]
[tex]P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283[/tex]
0.5283 = 52.83% probability that at least four qualify for the favorable rates
PLEASE ITS URGENT I NEED HELP ..
PLEEEAASEEE !!!
I BEG YOU GUYS ...
Thanks for the help...
i actually put the answer AT RANDOM so pay no attention to it
Answer:
the answer is 3 x 10^6
Step-by-step explanation:
Select the statement that describes this expression: 5 x (3 + 4) − 4.
5 times the sum of 3 and 4, then subtract 4
5 times 3 plus 4 minus 4
5 more than the sum of 3 and 4, and then subtract 4
5 times 3 plus the difference of 3 and 4
will give branlist
Answer:
5 times the sum of 3 and 4, then subtract 4
Step-by-step explanation:
simplify your math.
5(7)-4
35-4
31
HELP ASAP
The radius of a quarter circle is 1.4 millimeters. What is the quarter circle's area?
Answer:
A = 1.5386
Step-by-step explanation:
Quarter circle area formula:
A = (πr²)/4
A= (π1.4²)/4
A = (3.14*1.96)/4
A = (6.1544)/4
A = 1.5386
solve (x- 4.5)/2=5.5 for x
please help asap
Answer:
x=31/2
Step-by-step explanation:
don't have steps but its right.
Answer:
x = 31/2 = 15 1/2 = 15.5
Step-by-step explanation:
(x- 4.5)/2=5.5
Multiply both sides by 2.
x−4.5=5.5×2
Multiply 5.5 and 2 to get 11.
x−4.5=11
Add 4.5 to both sides.
x=11+4.5
Add 11 and 4.5 to get 15.5.
x=15.5
the difference of 17 and 5 times a number (s)
Answer:
(17-5)x
Step-by-step explanation:
the x next to the parenthesis means multiplication
Answer:
17 - 5s
Step-by-step explanation:
difference = minus sign
5 times = 5s
What is the inverse operation needed to isolate the variable 4 = p - 8
Answer:
To do this you need to add both sides by 8. yw
Step-by-step explanation:
Item 8
Select the cone(s) that are similar to a cone with a height of 9 meters and a radius of 3 meters.
cone with a height of 15 meters and a radius of 6 meters
cone with a height of 12 meters and a radius of 4 meters
cone with a height of 6 meters and a radius of 3 meters
cone with a height of 3 meters and a radius of 1 meter
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=69°, and FD = 64 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 68 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school?
Answer:
170
Step-by-step explanation:
Lupita y Andrés quieren comprar un bicicleta que ven todos los días en el aparador de la tienda la cual cuesta $3 686 ( IVA incluido 16%) y tiene el 20% de descuento ¿Cuanto pagara por la bicicleta?
Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?M
Answer:
The total number of pencils that Mr. Moretti gives to his is 162.
Step-by-step explanation:
He puts 3 mechanincal pencils in each bag.
In each bag, there is also twice as many regular pencils, that is, 3*2 = 6 regular pencils.
So in each bag, 3 + 6 = 9 pencils.
What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?
18 students, and each gets 9 pencils.
18*9 = 162
The total number of pencils that Mr. Moretti gives to his is 162.
Answer:
162 pencils
Step-by-step explanation:
i did the i ready lesson!
Mr. Kramer bought his daughter a kitten for her birthday, so now he needs to buy cat food. First, he gets a 20-pound bag of dry cat food. Then, he finds a good deal on 3-ounce cans of wet cat food, so he buys 48 of them. How many pounds of cat food does Mr. Kramer get in all?
Answer: 29 lbs
Step-by-step explanation: If you do 48 times 3 you will get 144 and if you do 144 divided by 16 you will get 9 and if you do 9 plus 20 you will get 29 lbs in total.
The required pounds of cat food Mr. Kramer get in all is 9.
given that,
First, he gets a 20-pound bag of dry cat food.
Then, he finds a good deal on 3-ounce cans of wet cat food,
so he buys 48 of them.
It is to determine how many pounds of cat food Mr. Kramer get in all.
In mathematics, it deals with numbers of operations according to the statements.
In a can, there are 3 ounces of wet cat food.
1 can = 3 ounce
multiplying both sides by 48
48 can = 3 * 48 ounce
48 can = 144 ounce
1 pound = 16 ounce
1/16 pound = 1 ounce
multiplying both sides by 144 on both sides
144 / 16 pound = 144 ounce
9 pound = 144 ounce
Thus, the required pounds of cat food Mr. Kramer gets in all is 9.
Learn more about arithmetic here:
brainly.com/question/14753192
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I need help and NO LINKS
Evaluate 3(c+d) if c=8 and d=-5
A. 6
B. 9
C. 39
D. -9
Answer:
C
Step-by-step explanation:
3(8+5)=39
3(13)=39
or
3(8)+3(5)=39
Answer:
b. 9
Step-by-step explanation:
if c = 8 and d = - 5
3( c + d)
= 3( 8 + (-5))
= 3 * 3
= 9
What is 2 7/12 written as a decimal?
OA) 0.2583
OB) 2.583
C) 2.583
OD) 5.83
Answer:
its 2.583333333 and repeating so it would be 2.583
5.
The Luxor Hotel in Las Vegas, Nevada,
is shaped like a square pyramid whose
surface is covered in dark glass. The
sides of the building are 606 feet in
length. The slant height of the building
is 463 feet. Find the lateral surface area
to determine the square feet of glass
needed to cover the surface of the Luxor
Hotel.
Answer:
= 869,516 sq feet
i think will you mark me brainlest
=))
Step-by-step explanation:
Using L Hospital's rule, evaluate :
lim
x →0(x² – Sin²x)/x^2
Answer:
0
Step-by-step explanation:
L Hospital's rule states that as long as u have the form
of infinity / infinity or 0/0 in general you can take its derivative to find the limit.
In this case as X tends to 0, the numerator tends to 0
Denominator will also tends to 0.
We have the 0 / 0 form, which means we can take the derivative for its numerator and denominator which gives
(2x - 2SinxCosx) / 2x | lim x -> 0
= (2x - Sin2x) / 2x | lim x -> 0
Based on this equation, as x tends to 0
both numerator and denominator tends to 0.
So we take its second derivative,
(2 - 2Cos2x) / 2
Now as x -> 0,
we will get (2 - 2)/2 = 0
Testing:
H0:μ=54.5
H1:μ<54.5
Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.
Calculate the test statistic, rounded to 2 decimal places.
t=
Answer:
t = -1.54.
Step-by-step explanation:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
H0:μ=54.5
This means that [tex]\mu = 54.5[/tex]
Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.
This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]
Test statistic
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]
[tex]t = -1.54[/tex]
The test statistic is t = -1.54.
Nathan inherited $100,000 from a wealthy uncle and invested the money in an account that earns 4% interest compounded annually.
How much interest will this money earn if Nathan leaves it in the account for 10 years?
Five less than 10 times a number is -13.
Answer:
10 x X - 5 = -13
Answer:
Step-by-step explanation:
10x-5= -13
10x= -13+5
10x= -8
x= 10/-8
x= -1.25 or 5/-4
what is the value of y?
9514 1404 393
Answer:
y = 8√3
Step-by-step explanation:
In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...
1 : √3 : 2 = 8 : y : hypotenuse
In order for these ratios to be equal, we must have ...
y = 8√3
__
If you want to solve this using your trig skills, you recognize that ...
Tan = Opposite/Adjacent
tan(30°) = 8/y
y = 8/tan(30°) . . . . where tan(30°) = 1/√3
y = 8√3
Sara’s teacher gave her class 10 quizzes, each worth 30 marks. Sara’s marks on the test are given below.
16,15,18,16,17,4,18,19,18,15
Determine the mean, median and mode of her marks.
Answer:
The mean is 6.6
The median is 16
mode is 18
Step-by-step explanation:
I'm not sure if this is tight but yeah:)
A rectangular room is 1.6 times as long as it is wide, and its perimeter is 34 meters. Find the dimensions of the room.
Answer:
Step-by-step explanation:
x=1.6w and 2w+2x=34.
Simply substitute for x in the perimeter equation, and solve for w. Now compute x.
Two similar squares are in a ratio of 3:5. If a side of the larger square is 35 inches, what is the measure of a side of the smaller square?
Find the next number in the pattern.
4, 6, 11, 19, 30, ______
Answer: 44
Step-by-step explanation:
1. Find the slope of the line in the graph
The population in City A is 3 1/2 times the population of City B. The population of City B is 1,800,000. What is the population of City A?
Answer:
The population of city A is 6,300,000.
Step-by-step explanation:
1,800,000 × 3[tex]\frac{1}{2}[/tex]
3[tex]\frac{1}{2}[/tex] is equal to 3.5
Plug in 1,800,000 × 3.5 into your calculator
= 6,300,000
The first term of an arithmetic sequence is -5, and the tenth term is 13.
Find the common difference.
2
1.8
8/9
Answer:
Step-by-step explanation:
Let d be the common difference.
a₁₀ = a₁ + (10-1)d
13 = -5 + 9d
d = 2
Please help for 10 ponits
Answer:
it's a yes
Step-by-step explanation:
X/6 ≤ 30
to find the value of X we have to move the numerical to the other side
in this case the number is 1/6
X * 1/6 ≤ 30
so to balance the both side and get rid of the number on the left side we multiple with 6.
1/6*6 = 1 on the left side
30*6 = 180 on the right side
so the full equation will be
X * 1/6 * 6 ≤ 30 * 6
X * 1 ≤ 180
X ≤ 180
help please i beg you
Answer:
4800
Step-by-step explanation:
Answer:
108
Step-by-step explanation:
if u need step by step explanation please comment