[tex] \LARGE{ \underline{ \orange{ \bf{Required \: answer:}}}}[/tex]
In the die the total no. of students are 25
Number of possible outcome for no males = Number of possible outcomes for females only = 14We know that,
∴ P(E) = Number of favourable outcome / Number of all possible outcome
Here we have to find the probability of the event of finding the no. of males.
⇛ P(E) = 14 / 25 (Answer)
And we are done !!
Probability helps us to know the chances of an event occurring. The probability that no males are selected is 0.3033.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that A math class consists of 25 students, 14 female and 11 male. Two students are selected at random to participate in a probability experiment.
Now, since we need to compute the probability that no males are selected, which can also be taken as the probability of both the students selected are girls. Therefore, the probability can be written as,
Probability = (14/25) × (13/24)
= 182/600
= 0.3033
Hence, the probability that no males are selected is 0.3033.
Learn more about Probability:
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Identify the domain and range of the function graphed below.
end me..............
f(x) = -3X - 4 ; Domain= {-17, -14, -6, -2,4, 15}
Range :
Answer:
g(x)={47,38,14,2,-16,-49}
Step-by-step explanation:
f(-17)=-3*-17-4=51-4=47
f(-14)=-3*-14-4=42-4=38
f(-6)=-3*-6-4=18-4=14
f(-2)=-3*-2-4=6-4=2
f(4)=-3*4-4=-12-4=-16
f(15)=-3*15-4=-45-4=-49
Which expression shows 48+16 in the form of C(a+b) where C is the greatest common factor of 48 and 16
Answer:
Step-by-step explanation:
a i promise
5. Factor and solve.
x2+3x=18
6 5/6 - 3 1/4 I really need help
Answer:
3 7/12 or 3.583
Step-by-step explanation:
3) One-half of a number plus twelve is sixty.
Answer
96
Step-by-step explanation:
1/2x+12=60
1/2x=48
x=96
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 70 cm/s. Find the rate at which the area within the circle is increasing after each of the following. (a) after 1 s $$40 cm2/s (b) after 4 s cm2/s (c) after 6 s cm2/s
Answer:
(a) 9800π cm²/s
(b) 39200π cm²/s
(c) 58800π cm²/s
Step-by-step explanation:
As we know,
The area of circle is:
[tex]A= \pi r^2[/tex]
[tex]\frac{dA}{dt}=2 \pi r\frac{dr}{dt}[/tex]
The given value is:
[tex]\frac{dr}{dt} =70 \ cm/s[/tex]
Now,
(a)
After 1 second,
r = 70×1
= 70 cm
⇒ [tex]\frac{dA}{dt}=2\pi(70)\times (70)[/tex]
[tex]=9800 \pi \ cm^2/s[/tex]
(b)
After 2 second,
r = 70×4
= 280 cm
⇒ [tex]\frac{dA}{dt}=2\pi \ (280)\times (70)[/tex]
[tex]39200\pi \ cm^2/s[/tex]
(c)
After 6 seconds,
r = 70×6
= 420 cm
⇒ [tex]\frac{dA}{dt}=2\pi \ (420)\times (70)[/tex]
[tex]58800\pi \ cm^2/s[/tex]
The rate will be:
(a) 9800 π cm²/s
(b) 39200 π cm²/s
(c) 58800 π cm²/s
Circle:A circle seems to be a closed object or structure generated by tracing a point that travels together in plane at quite a constant distances from either a specific location.
According to the question,
Speed, [tex]\frac{dr}{dt}[/tex] = 70 cm/s
We know,
The area of circle:
→ A = πr²
[tex]\frac{dA}{dt}[/tex] = 2πr[tex]\frac{dr}{dt}[/tex]
(a) After 1 s, the rate be:
r = 70 × 1
= 70 cm
[tex]\frac{dA}{dt}[/tex] = 2π(70) × 70
= 9800 π cm²/s
(b) After 2 s, the rate be:
r = 70 × 4
= 280 cm
[tex]\frac{dA}{dt}[/tex] = 2π(280) × 70
= 39200 π cm²/s
(c) After 6 s, the rate be:
r = 70 × 6
= 420 cm
[tex]\frac{dA}{dt}[/tex] = 2π(420) × 70
= 58800 π cm²/s
Thus the response above is correct.
Find out more information about area of circle here:
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Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (-2, 2)? Check all that apply.
(-2, -5) аnd (-7, -3)
(-1, 1) аnd (-6, -1)
(0, 0) аnd (2, 5)
(1, 0) аnd (6, 2)
(3, 0) аnd (8, 2)
Answer: The required ordered pairs are (–1,1) and (–6,–1),(0, 0) and (2, 5) and (3, 0) and (8, 2)
Step-by-step explanation:
A truck has used 39 liters of gas. It has 59 liters left in the tank. How many liters will the tank hold when it is full? =
Answer:
98 liters
Step-by-step explanation:
add 39 and 59
1. At a restaurant, a customer can choose between 3 appetizers, 2 main courses, and 3 desserts. (a) A customer wants to order exactly one appetizer, one main course, and one dessert. How many different meals could this customer order
Answer:
Total probability = 7/6
Step-by-step explanation:
Given:
Number of appetizer = 3
Number of main course = 2
Number of desserts = 3
Computation:
Probability of choosing 1 appetizer = 1/3
Probability of choosing 1 main course = 1/2
Probability of choosing 1 dessert = 1/3
Total probability = 1/3+1/2+1/3
Total probability = 7/6
Harry coaches 25 children on Wednesday. On Saturday, he coaches 9 more children. How many children does he coach in all? How did you know to regroup to solve this problem?
Answer:
34
Step-by-step explanation:
25+9=34
We don't know if he did or how much he coached on other possible days so in total with the information given. He did 34
Which expression has a negative value?
-12 x (-8)
-72 divided by (-9)
-11x6
-14 + 24
A large boulder falls from a cliff located 1,044 meters away from a herd of elephants. The temperature of the alr is 28°C.
How long after the boulder crashes will the elephants hear the sound?
O 30 sec
3.20 sec
0.30 sec
3.00 sec
Answer:
it is b
Step-by-step explanation:
I got it right! I also took a test and I reviewed my question
Answer:
3.20
Step-by-step explanation:
The perimeter of a triangle is 51 cm. The lengths of its sides are x cm, x + 2 cm, and x + 4 cm. What is the length, in cm, of the longest side of the triangle
Answer: 24
Step-by-step explanation:
Write the equation of the horizontal line that goes through the point (2, 4)
Answer:
y=2
Step-by-step explanation:
how many apples are in 24 if they are divided by 6
Answer:
4
Step-by-step explanation:
brainlist plz thx
Answer: 4
Step-by-step explanation:
1. F & G industries manufacturers a motor that is marketed with a warranty that guarantees it will be replaces free of charge if it fails within the first 13,000 hours of operation. On average, F & G, motors operate for 15,000 hours with a standard deviation of 1,250 hours before failing. The number of operating hours before failure is approximately normally distributed. a. What is the probability that a motor will have to be replaced free of charge
Answer:
The value is [tex]P(X < 13000) =0.054799[/tex]
Step-by-step explanation:
From the question we are told that
The number of hours considered is [tex]x= 13000 \ hours[/tex]
The population mean is [tex]\mu = 15000\ hours[/tex]
The standard deviation is [tex]\sigma = 1250\ hours[/tex]
Generally the the probability that a motor will have to be replaced free of charge is mathematically represented as
[tex]P(X < 13000) = P(\frac{ X - \mu }{\sigma } < \frac{13000 - 15000}{1250} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 13000) = P(Z<-1.6 )[/tex]
From the z table the probability of (Z<-1.6 ) is
[tex]P(Z<-1.6 ) = 0.054799[/tex]
So
[tex]P(X < 13000) =0.054799[/tex]
Multiply.
1/6⋅3/4
Express your answer in the simplest form.
A.310
B.18
C.16
D.410
Answer:
none of the above
Step-by-step explanation:
the answer is less than 1, maybe you got the question wrong?
If the fabric, thread, buttons, and zipper cost $13.30, how much is the sales tax if the tax is 8%?
Answer:
it'd be $1.06 rounded to the nearest thousendth or $1.06400
Step-by-step explanation:
13.30*8/100=Your Answer
Among the thirty largest U.S. cities, the mean one-way commute time to work is 25.8 minutes. The longest one-way travel time is in New York City, where the mean time is 38.5 minutes. Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.2 minutes. Use Appendix B.3. What percent of the New York City commutes are for less than 26 minutes
Answer:
4.093%
Step-by-step explanation:
Here, we want to calculate the proportion of Newyork commutes that are less than 26 minutes
We start by calculating the z-score
z = (x - mean)/SD
here;
x = 26
mean = 38.5 minutes
SD = 7.2 minutes
Thus, we have;
z = (26-38.5)/7.2
z = -1.74
We proceed to use the standard normal distribution table to get the probability of P(x < -1.74)
That will be 0.04093
So the proportion will be this in %
That will be 4.093%
which staement about rational numbers is true ?
Answer:
All rational numbers are fractions is one answer
Step-by-step explanation:
Rational numbers are numbers that can be converted into fractions. For example, the number 3 is a rational number because it can be converted into 3/1
which answer is an equation in point-slope form forbthe given point and slope point: (1, -9); slope: 2.
Answer:
The third one is the answer
Step-by-step explanation:
what is 0.36 repeating in simplest form?
A punch recipe calls for 5 cups of watermelon juice for every 3 cups of grape juice. Select all the statements about the recipe that are correct. *
A : The ratio of grape juice to punch is 8:3.
B : The ratio of watermelon juice to grape juice is 5:2.
C : There are 5 cups of watermelon juice for every 8 cups of punch.
D : The ratio of grape juice to watermelon juice is 3 to 5.
Answer:
d
Step-by-step explanation:
Answer:
D B ?? i think this is correct
Step-by-step explanation:
If x = −5, which number line shows the value of |x|?
A. A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 5 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 5 tick marks to the left of zero to a point at 5 tick marks to the right of zero. A horizontal line is shown between the brackets, and 5 is written on the line.
B. A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 5 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 5 tick marks to the left of zero to a point at zero. A horizontal line is shown between the brackets, and 5 is written on the line.
C. A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 5 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 5 tick marks to the left of zero to a point at 5 tick marks to the right of zero. A horizontal line is shown between the brackets, and negative 5 is written on the line.
D. A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. A dot is shown on a point at 5 tick marks to the left of 0. Above the number line, a bracket is shown extending from a point at 5 tick marks to the left of zero to a point at zero. A horizontal line is shown between the brackets, and negative 5 is written on the line.
THIS ANSWER WILL BE (A.)
HOPE THIS HELPS
HAVE A GOOD DAY
STAY SAFE
Answer:
The answer is A.
Step-by-step explanation:The number of ticks between 0 and -6 is exact.
Help quickly with this math question
Answer:
The circumference of circle is 8π ft.
Step-by-step explanation:
Given that the formula of area of a circle is A = π×r² where r represents the radius of circle. So you have to find the radius first :
[tex]area = \pi \times {r}^{2} [/tex]
[tex]let \: area = 16\pi[/tex]
[tex]\pi {r}^{2} = 16\pi[/tex]
[tex] {r}^{2} = 16[/tex]
[tex]r = \sqrt{16} [/tex]
[tex]r = 4 \: feet[/tex]
Next, you have to apply circumference of circle formula, C = 2×π×r :
[tex]c = 2 \times \pi \times r[/tex]
[tex]let \: r = 4[/tex]
[tex]c = 2 \times \pi \times 4[/tex]
[tex]c = 8\pi \: feet[/tex]
What's the opposite of -4/5
Answer:
The answer to the question provided is 4/5.
Answer:
4/5 because you just flip the negative sign
Step-by-step explanation:
I need help right now please !!!!
What is the slope of the line on the graph?
Answer:
1/2
Step-by-step explanation:
Pick to easy to read points on the line: (-4, 0) and (0, 2)
Start at (-4, 0). To go to (0, 2), you go 2 units up. That is a rise of 2.
Then you go 4 units right. that is a run of 4.
slope = rise/run = 2/4 = 1/2
Answer: 1/2