Answer:
6
Step-by-step explanation:
W=L-2
A=L*W
48=L(L-2)
48=L^2-2L
You factor and then you get L=8
W=8-2=6
Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case one of them does not show up. From past experience, Christine knows that there is a 55% chance that Dave will not show up and a 45% chance that Mike will not show up. Dave and Mike do not know each other and their decisions can be assumed to be independent. a. What is the probability that both Dave and Mike will show up
Answer:
a) 26.79%, b) 50.42% and c) 22.79%
Step-by-step explanation:
a. What is the probability that both Dave and Mike will show up?
As decisions of showing up can be assumed to be independent, the probability will be given by
(1-0.53)(1-0.43)=(0.47)(0.57)=0.2679=26.79%
b. What is the probability that at least one of them will show up?
There are two possibilities for this to happen:
Dave shows up but Mike does not. The probability of Dave to show up is (1-0.53)=0.47 and the probability that Mike does not is 0.43. Then, as these events are independent, the probability for both of them to happen is (0.47)(0.43)=0.2021=20.21%
Mike shows up but Dave does not. The probability of Mike to show up is (1-0.43)=0.57 and the probability that Mike does not is 0.53. Then, as these events are independent, the probability for both of them to happen is (0.57)(0.53)=0.3021=30.21%
Therefore, the probability that at least one of them will show up? is 20.21%+30.21%=50.42%.
c. What is the probability that neither Dave nor Mike will show up?
As decisions of showing up can be assumed to be independent, the probability will be given by
(0.53)(0.43)=0.2279=22.79%
In a relation, the input values can also be referred to as the __________?
Answer: The answer for the blank is domain.
Step-by-step explanation: Domain is the input of a function, and range is the output.
Find the surface area for a sphere with a radius of 10 feet. Round to the nearest whole number.
A.1.256
B.4.189
C.1,089
D.1,568
Answer:
C is my answer
Thank You
Mark me as Brainilest Answer please ty
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 27% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random. Let X denote the number among the four who have earthquake insurance.
(a) Find the probability distribution of X. [Hint: Let S denote a homeowner that has insurance and F one who does not. Then one possible outcome is SFSS, with probability (0.27)(0.73)(0.27)(0.27) and associated X value 3. There are 15 other outcomes.] (Round your answers to four decimal places.)
x 0 1 2 3 4
p(x) ___ __ __ __ __
(c) What is the most likely value for X?
(d) What is the probability that at least two of the four selected have earthquake insurance? (Round your answer to four decimal places.)
Answer:
a)
P(X = 0) = 0.2840
P(X = 1) = 0.4201
P(X = 2) = 0.2331
P(X = 3) = 0.0575
P(X = 4) = 0.0053
c) The most likely value for X is 1.
d) 0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.
Step-by-step explanation:
For each homeowner, there are only two possible outcomes. Either they are insured against earthquake damage, or they are not. Homeowners are independent. This means that 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.
27% of all homeowners are insured against earthquake damage.
This means that [tex]p = 0.27[/tex]
Four homeowners are to be selected at random.
This means that [tex]n = 4[/tex]
(a) Find the probability distribution of X.
This 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_{4,0}.(0.27)^{0}.(0.73)^{4} = 0.2840[/tex]
[tex]P(X = 1) = C_{4,1}.(0.27)^{1}.(0.73)^{3} = 0.4201[/tex]
[tex]P(X = 2) = C_{4,2}.(0.27)^{2}.(0.73)^{2} = 0.2331[/tex]
[tex]P(X = 3) = C_{4,3}.(0.27)^{3}.(0.73)^{1} = 0.0575[/tex]
[tex]P(X = 4) = C_{4,4}.(0.27)^{4}.(0.73)^{0} = 0.0053[/tex]
So the probability distribution is
P(X = 0) = 0.2840
P(X = 1) = 0.4201
P(X = 2) = 0.2331
P(X = 3) = 0.0575
P(X = 4) = 0.0053
(c) What is the most likely value for X?
P(X = 1) has the highest probability, so X = 1 is the most likely value.
(d) What is the probability that at least two of the four selected have earthquake insurance?
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.2331 + 0.0575 + 0.0053 = 0.2959[/tex]
0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.
seven years ago beths son was one third her age at the time. seven years from now he will be one half her age. how old is beth's son
4w+2=2w+7
Please quick I dont have time!
Answer:
W = 2.5 or 5/2
Step-by-step explanation:
It Equal to 2.5 or 5 by 2.
4. Solve. What is 3/5 of 15?_ What is 2/3 of 18? . What is 3/4 of 16?
Answer:
3/5 of 15 is 9
2/3 of 18 is 12
3/4 of 16 is 12
which expression is equivalent to 4(6x+11) A.68 B.68x C.24x+11 D.24x+44
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{4(6x + 11)}[/tex]
[tex]\large\text{Distribute}[/tex]
[tex]\large\text{4(6x) + 4(11)}[/tex]
[tex]\large\text{4(6x) = 24x}[/tex]
[tex]\large\text{4(11) = 44}[/tex]
[tex]\large\text{= 24x + 44}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf{24x + 44}}}}\huge\checkmark[/tex] ☑️
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
royal lawncare company produces and sells two packaged products
2. You have a bag containing 5 red markers, 6 green markers, and 4 blue markers. You reach Into the bag, select 1 marker, replace it, and then select another marker. What is the probability
that you selected a blue marker and then a green marker?
14.3%
10.7%
73.3%
83.3%
Answer:
10.7%
Step-by-step explanation:
possibility to get a blue marker : 4/15
possibility to get a green marker: 6/15
possibility to get a blue then a green: 24/225
= 10.666666%
= 10.7%
How many degrees would an angle that
is cut from 1o/3 a circle measure
help me figure this out
Answer:
Each number matches up below. The left side is x, and the right is y.
1 ⇒ 192
2 ⇒ 384
4 ⇒ 768
6 ⇒ 1152
10 ⇒ 1920
Step-by-step explanation:
We know in 1 serving, there is 192 calories. Following this, to find the calories for 2 servings, we multiply 192 by 2.
192*2 = 384
When we know the calories but not the serving, you divide the calories by 192
768/192 = 4
PLEASE HELP MEEEEEEEEEEEEEEEE
Answer:
C
Step-by-step explanation:
Basically just multiply every number by 2 for the new coordinates
Answer: C
Step-by-step explanation:
7. A recipe calls for 4 tbsp of sugar to 10 tbsp of baking powder. What is the
ratio in simplest form of the number of tbsp. of baking powder to the
number of tbsp. of sugar in this recipe?
A. 2 to 5
B. 2 to 3 C. 5 to 2 D. 3 to 1
8. which statement is true about proportion?
A. the product of the main is greater than the product of extremes
B. the product of the extremes is greater than the product of the means
C. the product of the means is equal to the product of the extremes
D. the product of the 1st ratio is equal to the product of the 2nd ratio
Answer:
The correct answers are:
7) 2 to 5
8) the product of the means is equal to the product of the extremes (D)
Step-by-step explanation:
7) Number of tbsp of sugar = 4
Number of tbsp of baking powder = 10
∴ ratio of sugar to baking powder = 4 : 10
simplifying further by dividing through by 2
4 : 10 = 2 : 5
∴ ratio of sugar to baking powder = 2 to 5
8) A proportion is a statement that equates two rates or ratios.
For example:
[tex]\frac{a}{b} = \frac{c}{d}[/tex]
In this equation, the first and the fourth terms (a and d) are called extremes, while the second and third terms are called means.
Therefore, one rule of proportions is that the product of the extremes must equal the product of the means. This means that:
a × d (extremes) = b × c (means)
The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company . Suppose for each ToughPix1 there is a chance that it will need to be replaced exactly once, a chance that it will need to be replaced exactly twice, and a chance that it will not need to be replaced.
Answer:
a chance that it will not need to be replaced
Step-by-step explanation:
help me with this math
Answer:
=
Step-by-step explanation:
I hope this helps! :)
☁️☁️☁️☁️☁️☁️☁️☁️
Are these answers right
Look at pictures
Complementary angles
Answer:
1) correct
2) correct
3) incorrect, x = 11
4) incorrect, x = 50
Step-by-step explanation:
3) 90-35 = 5x
5x = 55
x = 11
4) 90-56 = (x-16)
x-16 = 34
x = 50
Answer:
Step-by-step explanation:
3) 5x + 35 = 90 {Complementary angles}
5x = 90 - 35
5x = 55
x = 55/5
x = 11
4) 56 +x - 16 = 90 {Complementary angles}
x + 40 = 90
x = 90 - 40
x = 50
Consider the graph below:
What is the equation of the line in slope-intercept form?
The equation of the line is
Answer:
y=-5/4x+5
Step-by-step explanation:
The line goes down 5 for every 4 to the right, and it crosses the y-axis at (0,5).
A survey asks students if they would like to go to the beach, play volleyball, or swim. Students may choose more than one option. Explain the different categories that could result from the survey.
Answer:
go to the beach
play volleyball
swim
go to the beach and play volleyball
go to the beach and swim
play volleyball and swim
go to the beach and play volleyball and swim
Step-by-step explanation:
Answer:
go to the beach
play volleyball
or swim
Step-by-step explanation:
find the value of x
Answer:
50
Step-by-step explanation:
140- 40=100
100÷2=50
x=50
What is the diameter of circle 0 if the radius is 4
Answer:
8
Step-by-step explanation:
Answer:
The diameter would be 8
Step-by-step explanation:
The diameter of a circle is twice the radius.
4×2=8
I hope this helps
What is 1 divided by 1/6
Answer:
6
Step-by-step explanation:
Which of the following points lies on the graph of the function y = 4^x
(1,0)
(4,1)
(2,16)
(−1, 0.5)
Answer:
The answer is (2,16)
Step-by-step explanation:
graphing
Find the median of 19, 29, 36, 15, and 20. Show all the steps that you took to find your answer.
Answer:
20
Step-by-step explanation:
ALGEBRA 1 PLS HELP ASAP
Looking for the answer to this
Given system of linear equations are ,
x + y = 2 -3x + y = 2And we need to find the Solution of the linear equation . So let's Firstly number the equations .
[tex]\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}[/tex]
→ Multiplying equⁿ (i) by 3 ,
=> 3 ( x + y ) = 2*3
=> 3x + 3y = 6
→ Adding the two equations ,
=> 3x + 3y -3y + y = 6 + 2
=> 4y = 8
=> y = 8/4
=> y = 2
→ Put y = 2 in (i) ,
=> x + y = 2
=> x + 2 = 2
=> x = 2- 2
=> x = 0
★ Hence the required solution is ( 0 , 2 ) .Luke's family goes to the movies and purchase a large popcorn. They are are debating whether or not to purchase any drinks.The table below shows how much they'll spend based on the number of drinks they decide to purchase
Answer:
where is the picture to show ????
Answer:
x=9/4
Step-by-step explanation:
What is the relationship between CE and AD?
I’ll give brainly
At Wilson High School 34 girls participate in soccer, 39 girls participate in basketball, and 13 girls participate in both soccer and basketball. How many girls participate in either soccer or basketball?
Answer:
Hello ppcarrerasx3 I am going to be your personal instructor on brainly ty for choosing us for 5 star awnsers
The correct answer is will play
It is modified to show future aspect, but is still simple.
Step-by-step explanation:
Answer:
47 in soccer and 52 in basketball
Step-by-step explanation:
find the inequality represented by the graph please helpp
Answer:
y=3/4x
Step-by-step explanation:
