Answer:
78.4% probability at least one does not have a job
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they have a job, or they do not have a job. The probability of a student having a job is independent of other students. 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.
60% of the students at a large university have a job
This means that [tex]p = 0.6[/tex]
Three of these students are randomly selected
This means that [tex]n = 3[/tex]
What is the probability at least one does not have a job?
Either all of them have a job, or at least one does not. The sum of the probabilities of these events is decimal 1. So
[tex]P(X < 3) + P(X = 3) = 1[/tex]
We want P(X < 3). Then
[tex]P(X < 3) = 1 - P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216[/tex]
[tex]P(X < 3) = 1 - P(X = 3) = 1 - 0.216 = 0.784[/tex]
78.4% probability at least one does not have a job
PLEASE HELP WILL MARK BRAINLIEST
Eight students were asked how many books they read last summer. Their answers are shown in the line plot below.
Find the range and the mode for the data.
(a)range:
(b)mode:
Answer:
(a). Range is 6 (b). Mode is 5.75
Step-by-step explanation:
Finding range: Subtract the smallest value (2) from the largest value (8).
Finding mode: Add all the values (for each "x" you add the value that it corresponds to) and then divide them by the number of x's.
Which one of the following solids can produce this two-dimensional shape when sliced vertically?
Choose 1 answer:
Solve the equation.
-3x-5=16
What does 'x' equal?
Answer:
-7
Step-by-step explanation:
-3x-5=16
-3x=21
x=-7
Answer:
x=-7
Step-by-step explanation:
-3x-5=16 Addition property of Equality
-3x=21 Multiplication Property of Equality
x=-7
In February, Alec had 1,544 visitors to his website. In March, he had 1,386 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? If necessary, round to the nearest tenth of a percent.
a. 11.4%
b. 12%
c. 10.2%
d. 89.9%
Answer:
option c. 10.2%
Step-by-step explanation:
Number of visitors to Alec's website in February = 1,544
Number of visitors to website in March = 1,386
Number of decreasing members = 1544 - 1386 = 158 visitors
decrease percentage = [tex]\frac{\text{number of decreasing members}}{\text{number of previous members}}\times 100[/tex]
= [tex]\frac{158}{1544}\times 100[/tex]
= 10.233 ≈ 10.2%
percentage decrease of the number of visitors is 10.2%.
Option c. is the answer.
line m and p are perpendicular. if the slope of line m is -3, what is the slope of line p
Perpendicular slopes multiply to -1, so are negative reciprocals.
-1 / -3 = 1/3
Answer: B. 1/3
WHOEVER IS THE FIRST ANSWER I'LL MARK THE BRAINIEST ANSWER!!!
Find the arc length of the partial circle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
Answer:
4π
Step-by-step explanation:
find the circumference first
2π r
2π 8=16π
then find the arc length
16π * 1/4
4π
Between 11 P.M. and 8:45 A.M., the water level in a swimming pool decreased by 3/8 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
the water level drop per hour is [tex]\frac{1}{26}\,\,\frac{in}{h} \approx 0.03846\,\,\frac{in}{h}[/tex]
Step-by-step explanation:
Notice that in between 11 PM and 8:45 AM on the following day, there is a change in time equal to 9 hours and 45 minutes = 9.75 hours.
If the water level of the pool dropped by 3/8 of an inch, and the rate was constant, then the rate of level drop per hour is:
[tex]\frac{\frac{3}{8} in}{9.75\,h} =\frac{1}{26}\,\,\frac{in}{h} = 0.03846\,\,\frac{in}{h}[/tex]
The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which
inequality represents this situation?
O Y<X+28y
O Y<_X+28
O X+ y<28
O X+y<_28
Answer:
C
Step-by-step explanation:
Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$____
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
Solve 1 over 25 = 5x + 4. (1 point)
Answer: x=-0.792
Step-by-step explanation:
For this problem, you want to get like terms onto one side, then solve for x.
[tex]\frac{1}{25}=5x+4[/tex]
[tex]-\frac{99}{25} =5x[/tex]
x=-0.792
B oranges cost 60c. How much will 7 oranges cost
Answer: 53 c
Step-by-step explanation:
If 8 oranges cost 60c
7 oranges will cost (7 x 0.60) / 8 = 0.53
The diaper service where you work bills customers once a week. Each week, it charges 0.30 each for the first 75 diapers used, and .025 each for any additional diapers. How much should you bill a family that used 100 diapers last week?
Answer: The correct answer for this question is $6.55
Step-by-step explanation:
Hope this helps
Answer:
28.75
Step-by-step explanation:
tom paid $16 for 6 audio cassettes. Which proportion can be used to find the amount of money (m) he would pay for 9 audio cassettes
Answer:
Step-by-step explanation:
From the question, Tom paid $16 for 6 audio cassettes and we are told to find the proportion to get the amount of money (m) he would pay for 9 audio cassettes. To get this, we have to know the amount of the cost of 1 audio cassette. Since Tom paid $16 for 6 audio cassettes, 1 audio cassette will cost:
= $16/6
= $2.67
1 audio cassette will cost $2.67
The amount of money spent will depend on the number of audio cassettes. Therefore,
m = $2.67 × n
m = $2.67n
where n = number of audio cassette
The amount of money he'll pay for 9 cassette will be:
m = $2.67n
m = $2.67 × 9
m = $24.03
A paper clip is just over 4 cm long. How many paper clips like this can be made from a straight piece of wire 10 meters long?
Answer:
25 Paper Clips
Step-by-step explanation:
100cm is equal to 1 meter. So to find the answer you would need to take the whole of the centimeter (100) and divide that by the paper clips length (4).
100/4 = 25
So, to form a straight line 10 meters long you would need 25 paper clips each 4cm long.
The number of 2,500 paper clips like the given paper clip can be made from a straight piece of wire that is 10 meters long.
What is multiplication?Multiplication is a type of mathematical operation. The repetition of the same expression types is another aspect of the practice.
For instance, the expression 2 x 3 indicates that 3 has been multiplied by two.
We can start by converting the length of the wire to centimeters since the length of the paper clip is given in centimeters:
10 meters = 10,000 centimeters
To determine the number of paper clips that can be made from the wire, we need to divide the total length of the wire by the length of each paper clip.
Number of paper clips = Total length of wire / Length of each paper clip
Length of each paper clip = 4 cm
Number of paper clips = 10,000 cm / 4 cm
Number of paper clips = 2,500
Therefore, the required number is 2500.
To learn more about multiplication;
https://brainly.com/question/19634536
#SPJ2
How do I solve this?
Answer:
Try using estimation.
Make sure you don't start with the y-axis first.
I don't think they really want an exact answer though. You could try using a ruler if there's one on your phone but I still think estimation is okay.
Step-by-step explanation:
Look how close the point is to 1 on the x-axis and how close it is to 2 on the x-axis then chose what you think fits.
Circle O has a circumference of approximately 2507 ft.
What is the approximate length of the diameter, d?
40 ft
80 ft
125 ft
o
250 ft
Answer:
80 ft (b)
Hope it helps
Step-by-step explanation:
Circumference= π * diameter
Since the circumference is given..
250 = πd
d = 250/π
= 250/3.14
= 79.6
= 80 feet approx
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the change in temperature per hour?
Answer:
The expression used to find the change in temperature per hour is Algebraic expression
Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]
Step-by-step explanation:
A temperature falls from 0 to [tex]- 12\dfrac{1}{4}[/tex] in [tex]3\dfrac{1}{2} \ hours[/tex]
Which expression finds the change in temperature per hour.
From the above given information;
The initial temperature is 0
The final temperature is [tex]- 12\dfrac{1}{4}[/tex]
The change in temperature is [tex]\Delta T = T_2 - T_1[/tex]
[tex]\Delta T = -12\dfrac{1}{4} -0[/tex]
[tex]\Delta T = -12.25[/tex]
Thus;
-12.25 ° = 3.5 hours
To find the change in x° per hour; we have;
x° = 1 hour
The expression used to find the change in temperature per hour is Algebraic expression
From above if we cross multiply ; we have;
(- 12.25° × 1 hour) = (x° × 3.5 hour)
Divide both sides by 3.5 hours; we have:
[tex]\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}[/tex]
x° = - 3.5
x° = [tex]- 3\dfrac{1}{2}[/tex]
Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]
Answer:
Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction
Step-by-step explanation:
A
Please help guys please
Answer: The answer is A
Step-by-step explanation:
help me now asap please
Answer:
C
Step-by-step explanation:
Let's first convert both Brooke's time and Lamont's time into the same unit so that we can more easily compare them. To make it simpler, we'll convert both times into minutes.
Brooke: 1 hr 45 min
We know that there are 60 minutes in 1 hour, so we essentially have:
60 min and 45 min ⇒ 60 + 45 = 105 min
Lamont: 115 min
This is already in minutes, so we don't have to do anything to it.
We now have 105 minutes for Brooke and 115 minutes for Lamont. Let's compare:
- Since we know Brooke took 105 minutes, we can eliminate A and B.
- Clearly, 105 < 115, which means Brooke took less time that Lamont to finish the race
- If Brooke took less time, that means she's faster.
Thus, the answer is C.
~ an aesthetics lover
Answer:
Time taken by Brooke = 1h 45min
= 60min + 45min
= 105min
Time taken by Lamont = 115min
Brooke finished in 105min, so she was faster.
Option 3 is correct.
Horses are measured in units called hands one inch equals 1/4 hands the average Clydesdale is 17 1/5 hands tall what is this height in inches in feet
Answer:
68.8 Inches, 5.73 Ft.
Step-by-step explanation:
To find out how many inches tall the horse is, divide 17 1/5 by 1/4. You will get 68.8 inches. To convert that to feet, divide it by 12. that would be 5.7333... Ft, so you will probably need to round it to just 5.73.
The square of a number I see equal to two less than three times the number. What are two possible values of the number? A. 1,2 B. -1,2 C. 1,-2 D. -1,-2 E. 2,3
Answer:
Option A
Step-by-step explanation:
Let us take this number as x, translating this description of the equation into mathematical language;
[tex]x^2 = 3x - 2[/tex]
Now let us solve for x;
[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]
* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.
Which expression represents the number 3+−4−−−√ rewritten in a+bi form?
3+4i
0+5i
3i+2
3+2i
−4i+3
Question:
Which expression represents the number [tex]3 + \sqrt{-4}[/tex] rewritten in a+bi form?
Answer:
3 + 2i
Step-by-step explanation:
Let y = [tex]3 + \sqrt{-4}[/tex] ...............(1)
[tex]y = 3 + (\sqrt{4}) (\sqrt{-1} )\\[/tex].............(2)
The complex number representation of [tex]\sqrt{-1} = i[/tex] and [tex]\sqrt{4} = 2[/tex]
Make these substitutions into equation ( 2)
[tex]y = 3 +2i\\[/tex] is in the form a + bi
Where a = 3 and b = 2
What is the equation of a line with a slope of -2 and passes through the point (6,8)
Start with the point-slope formula, shown below in bold.
Y - y1 = m(x - x1)Our point which in this case is (6, 8) represents (x1, y1) in our formula.
~Substitute
Y - 8 = -2(x - 6)
I will be writing this equation in standard form.
First distribute the -2 through the parentheses.
This gives us y - 8 = -2x + 12.
Next we would move the -8 to the right side of the equation
by adding 8 to both sides to get y = -2x + 20.
Finally we move our x term to the left side of the equation
by adding 2x to both sides and our answer is 2x + y = 20.
There are 120 males and 180 females in Albany Tennis Club.
Write the number of males to the number of females as a ratio in its simplest form.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
I answered this already for you: https://brainly.com/question/16790720
¿que es la trigonometria?
Answer:
I don't speak Spanish but I know what your asking. Trigonometry is a thing in physics.
Step-by-step explanation:
Expand and simplify . 7x(5y-8)+3y(12x+9) PLEASE HELP. BEST ANSWER RECIEVES A BRIANLIEST
[tex]answer \\ 71xy - 56x + 27y \\ solution \\ 7x(5y - 8) + 3y(12x + 9) \\ = 35xy - 56x + 36xy + 27y \\ combine \: like \: terms \\ = 35xy + 36xy - 56x + 27y \\ = 71xy - 56x + 27y \\ hope \: it \: helps[/tex]
Answer:
[tex] = 71xy - 56x + 27 \\ [/tex]
Step-by-step explanation:
[tex]7x(5y - 8 )+ 3y(12x + 9) \\ 35xy - 56x + 36xy + 27 \\ 35xy + 36xy - 56x + 27 \\ = 71xy - 56x + 27[/tex]
hope this helps
Find the common ratio for the following sequence. 0.1, 0.01, 0.001, ... 0.01 0.1 0.001
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]a_1 = 0.1\\a_2 = 0.01\\a_3 = 0.001[/tex]
[tex]r = \frac{a_2}{a_1}[/tex]
[tex]r = \frac{0.01}{0.1}[/tex]
[tex]r=0.1[/tex]
[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula and solve
Answer:
x= 8, 3
Step-by-Step Explanation:
[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]
[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]
|6-27| how the answer this question
Answer:
First notice that they’re asking for the absolute value of the equation.
The absolute value is how far that number is from 0.
Basically it’s the number without a negative sign.
ok so 6-27 = -21
The product for 6-27 (21) is 21 spaces away from 0.
|6-27| = 21
21 is the answer to your question.
Hope this helped and pls mark me brainliest if it did :)
