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
Tom owns a pizza shop. He makes 30 cheese pizzas each day. Depending on how much time he has, Tom also makes some pepperoni pizzas every day. On Friday, he spent
4 hours making pepperoni pizzas, and he made 7 pepperoni pizzas every hour.
Evaluate 8a- 1 + 0.5b when a = 1/4 and b = 10
A rectangle has a length of 18 11/12 ft and a width of 5 1/2 ft. What is the area?
Answer:
104.04 ft.²
Step-by-step explanation:
length times width
Answer:
104.042
Step-by-step explanation:
area of rectangle=length*width
4/7 of 29= (estimate each product)
Answer:
16.6 for nearest tenths
16.57 for nearest hundreths
Step-by-step explanation:
4/7*29/1=
29*7=203/7 to get the same denominator
203 x 4 = 812 mulptiply to get the fraction
7 x 7 = 49
812/49=16.5714285714
1. Find the slope of the line in the graph
For rhombus GHJK, find m21.
Which of the following graphs is not a function?
A.)W
B.)Z
C.) X
D.)Y
A function means that any input (x) has only one output (y)
I showed an example of where x has multiple outputs in the picture. In the example I circled (1,1) and (1,-1)
What's the distance between the points (2,4) and (10,-8)?
Answer:14.4222
Step-by-step explanation:
Alice sells bracelets 10 for $5. How much does 1 bracelet cost?
Answer:
FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"
READ PROMPT
Step-by-step explanation:
Answer:
$2
Step-by-step explanation:
Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.
A farmer picked 496 oranges. He also picked 435 lemons. Which shows
how many more oranges than lemons he picked?
496 X 435
496 ÷ 435
496 - 435
496 + 435
Answer:
C
Step-by-step explanation:
:)
What is the MEAN for the following set of data?
5, 7, 8, 10, 12, 12
10
7
9
12
Answer:
9
Step-by-step explanation:
Answer:
the answer is 9
Step-by-step explanation:
need help with question 4
Answer:
Perimeter: 18u^2
Area: 18u^2
Step-by-step explanation:
perimeter is just adding all the sides together so 6+3+6+3
area is multiplying length by width so 6•3
both give us 18
hope this helps chu <3
A game has 28 white balls and 12 red balls in a bag, and you will randomly select one ball from the bag. If
the selected ball is white, you lose $5. And, if the ball is red, you win $10. What is the expected value of
the game?
Answer:
There are 40 balls in the bag. The probability of selecting a white ball is 28/40, simplified to 7/10. The probability of selecting a red ball is 12/40, simplified to 3/10. You are more likely to get a white ball so you will most likely lose $5.
Step-by-step explanation:
Write x2 + 12x + 6 = 0 in vertex form using the completing-the-square method. (2 points)
a
(x - 12)2 - 30 = 0
b
(x - 6)2 + 36 = 0
c
(x + 6)2 - 30 = 0
d
(x + 12)2 + 36 = 0
Answer:
C- is more likely going to be your answer.
https://kami.app/987hunntx5Pl can sum 1 help its 18Q and im doing somethig so i can get it finished rn its due in 15 min
Answer:
The link doesn't exist or was deleted or I don't have permission to view it.
Step-by-step explanation:
Solve the inequality. 4a < 52
a < 208
a < 56
a < 48
a < 13
4a<52
All you have to do is divide 4 from a and 52.
4a<52
/4 /4
a<13
a<208 √
a<56 √
a<48 √
a<13 X
So the odd one out is a<13
---
hope it helps
Find the volume of the right triangular prism.
A) 120 cubic centimeters
B) 90 cubic centimeters
C) 60 cubic centimeters
D) 150 cubic centimeters
Answer:
A. 120
Step-by-step explanation:
giving brainliest! <3
Find the total surface area of the cylinder below. Round to the nearest tenths place.
Answer:
Step-by-step explanation:
r = 0.9 m
h = 3.6 m
Area of two circle faces combined: 2*π(0.9)^2 = 1.62π
Lateral area = circumference*height = 2π(0.9)(3.6) = 6.48π
Surface Area = 1.62π + 6.48π = 8.1π m sq.
If cm on a map represents 20km on the ground ,how far apart are two villages that are 0.5cm aprt on the map?
Answer: 10 km
Step-by-step explanation:
20 km = 1 cm
villages are 0.5 cm apart
0.5+0.5=1
20/2= 10
so 10 km.
State the order and type of each transformation of the graph of the function f(x)=1/2[(x+2)^2-9] as compared to the graph of the base function
left 2 units, vertical compression by a factor of 0.5, down 9 units
left 2 units, horizontal stretch by a factor of 2, down 9 units
left 2 units, down 9 units, vertical compression by a factor of 0.5
left 2 units, down 9 units, horizontal stretch by a factor of 2
Answer:
C) left 2 units, down 9 units, vertical compression by a factor of 0.5.
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical stretch.
Parent Function:
g ( x ) = x 2
Horizontal Shift: Left 2 Units
Down: 9 Units
Vertical Shift: Down 0.5 Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: Compressed
Laura's Burgers cooks its burgers either well done or medium. Last night, the restaurant served 57 well-done burgers and 3 medium burgers. What percentage of the burgers served were well done?
Answer:
About 95% of the burgers were well done. 57/60 = 95%
The first term of an arithmetic sequence is 3. The common difference of the sequence is 1.5 tune the first term. Write the next five terms in the sequence:
Answer:
3, 7.5, 12, 16.5
Step-by-step explanation:
Tn = a + (n-1)d
a = 3 and d = 1.5×3 = 4.5
T2 = a + d = 3 + 4.5 = 7.5
T3 = a + 2d = 3 + 2(4.5) = 12
T4 = a + 3d = 3 + 3(4.5) = 16.5
Hope its correct and have a great day :)
2. which formula should be used to find the area of the composite shape? A = 4(1/2Xbh) lw B. A=4bh+lw C. a=4bh+lw d. 2bh+bh Please select all that apply.
Answer: the answer is B and D I told the test
Step-by-step explanation:
cual seria 1/10 de $360 pesos
Answer:36 pesos porque 1/10 de 360 es como multiplicar 1/10 por 360
Step-by-step explanation:
HELP PLZ I WILL GIVE WHAT EVER
Answer: 112
Explanation: I find the area of the base but if there is a specfic formula on doing this what is it? But if not that should be your answer.
Answer:
75.62
Step-by-step explanation:
Which of the following situations can be represented by the expression 3n – 15 ? Select all that apply.
Answer: B
Step-by-step explanation:
all muntiple of 5 is an odd number true proposition?
a of 5 is 2.5 b of 5 is 2.5 although 5+5=10 = 2.5×4 =10 (even) x of 5 is odd and y of 5 is even
Therefore, its false;)
solve for p:
p + 1 < 8
Answer:
p < 7
Step-by-step explanation:
2|m-n2|+k3 (if k=-2,m=-7, and n=4)
Answer:
correction = 24
Step-by-step explanation:
2|-7-4*2| + -2 *3
2|-7-4*2| + -6
2|-7-8| + -6
2|-15| + -6
the 15 turn positive because of the |bars|
2x 15 30 - 6
= 24
A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create
100 kilograms of a 25% fat-content chocolate. How many kilograms of each kind of chocolate must they
use?
Answer: They must mix
Kilograms of the 10% chocolate and
Kilograms of the 60% chocolate.
Answer:
They must mix 70 kilograms of the 10% chocolate and 30 kilograms of the 60% chocolate.
Step-by-step explanation:
Given that a candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 25% fat-content chocolate, to determine how many kilograms of each kind of chocolate must they use, the following calculations must be performed:
10 x 0.5 + 60 x 0.5 = 35
10 x 0.6 + 60 x 0.4 = 30
10 x 0.7 + 60 x 0.3 = 25
100 x 0.7 = 70
Thus, they must mix 70 kilograms of the 10% chocolate and 30 kilograms of the 60% chocolate.