Answer:
\(x_{M}\) = - 1
Step-by-step explanation:
The coordinates of the midpoint are the average of the x and y coordinates of the endpoints , that is
\(x_{M}\) = \(\frac{4-6}{2}\) = \(\frac{-2}{2}\) = - 1
in a scientific research, a statistical test resulted in a -value of 0.026. match each value with the correct decision. (a) do not reject h0 (b) reject h0 group of answer choices significance level equals 0.01 (a) significance level equals 0.05
Any p-value less than 0.05 is a cause to reject the null hypothesis.
What is Null Hypothesis?
The statement "The null hypothesis is a claim about population parameter that is assumed to be false until it is declared false" is false. The null hypothesis is denoted by H0 assumes that the claim you are trying to prove did not happen. It is a claim about a population parameter that is assumed to be true until it is declared false.
Explanation:
In this case, 0.015 is the only option for p-value that would lead to a rejection of the null hypothesis (if the level of significance for the test is 0.05).
Any p-value less than 0.05 is a cause to reject the null hypothesis.
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Can someone help me out with this question? Thanks
Answer:
160
Step-by-step explanation:
vertical angles
Answer:
its 80
Step-by-step explanation:
because of vertical angles the 160 is the same for the other side so you subtract the 80
Fatoumata has a deck that measures 7 feet by 12 feet. She wants to increase each
dimension by equal lengths so that its area is increased by 50%. By how much should she increase each dimension?
Based on common factors, Fatoumata can increase each dimension of the deck by 2 feet so that the deck's new area is increased by 50% to 126 ft².
What are common factors?Common factors are the numbers that can divide another number evenly without a remainder.
In this situation, 9 and 14 can divide 126 equally and the product of 9 and 14 are 126.
The old dimensions of the deck:
Width = 7 feet
Length = 12 feet
Area = 84 ft² (7 x 12)
The expected new area of the deck:
Increase in the new area = 5%
Increased factor for the area = 1.5 (100% + 50%)
Area = 126 ft² (84 x 1.5)
The common factors of 126 include 9 and 14 and the product of 9 and 14 = 126.
Therefore, we can increase each length of the deck by 2 feet.
Check:
Width = 9 feet
Length = 14 feet
Area = 126 ft² (9 x 14)
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Determine whether these biconditionals are true or false. a) 2 2 = 4 if and only if 1 1 = 2. b) 1 1 = 2 if and only if 2 3 = 4. c) 1 1 = 3 if and only if monkeys can fly.
The result of biconditional statements are as follow,
a) True. 2 + 2 = 4 and 1 + 1 = 2.
b) False. 1 + 1 = 2, but 2 + 3 = 5, not 4.
c) False. 1 + 1 = 2, but monkeys cannot fly.
d) False. 0 is not greater than 1, but 2 is greater than 1.
a) 2 + 2 = 4 if and only if 1 + 1 = 2.
This biconditional is true.
Both statements are true because basic arithmetic principles dictate that 2 + 2 equals 4, and 1 + 1 equals 2.
b) 1 + 1 = 2 if and only if 2 + 3 = 4.
This biconditional is false.
The first statement is true since 1 + 1 equals 2. However, the second statement, 2 + 3 = 4, is false because 2 + 3 equals 5, not 4.
c) 1 + 1 = 3 if and only if monkeys can fly.
This biconditional is false.
The first statement, 1 + 1 = 3, is false because 1 + 1 equals 2, not 3. The second statement, "monkeys can fly," is also false.
because monkeys are not capable of natural flight.
d) 0 > 1 if and only if 2 > 1.
This biconditional is false. The first statement, 0 > 1, is false because 0 is not greater than 1.
However, the second statement, 2 > 1, is true because 2 is indeed greater than 1.
Therefore, the biconditional is false since the statements do not have the same truth value.
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The above question is incomplete, the complete question is:
Q : Determine whether these biconditionals are true or false.
a) 2 + 2 = 4 if and only if 1 + 1 = 2.
b) 1 + 1 = 2 if and only if 2 + 3 = 4.
c) 1 + 1 = 3 if and only if monkeys can fly.
d) 0 > 1 if and only if 2 > 1
JJ has $70 to spend at the surf shop.
He buys a shirt for $22, a hat for $12.
He plans to spend the rest of his
money on stickers that cost $3. He
can buy at most how many stickers?
no
om
Inequality:
Solution:
151 Interpretation:
can you please help me??
1) Which equation models the data given on the graph? -0) A) y = 0.30x B) y = 0.70x C y = 0.30x - 200 D = 0,70x - 200
Answer:
y = 0.30x + 200 and The price of airfare increases by $0.30 for each mile traveled.
Step-by-step explanation:
the person above is incorrect
Answer:
y = 0.30x + 200
Step-by-step explanation:
Hope that helped :)
The Balmer series requires that nf=2. The first line in the series is taken to be for ni=3, and so the second would have ni=4. Question 5: The Balmer series requires that nf=2. The first line in the series is taken to be for ni=3, and so the second would have ni=4. Page 6 of 10
The Balmer series, the second line would have ni = 4, indicating that the electron transitions from the fourth energy level to the second energy level.
The Balmer series is a series of spectral lines in the emission spectrum of hydrogen. It corresponds to transitions of electrons in hydrogen atoms from higher energy levels (initial states) to the second energy level (final state) with nf = 2.
In the Balmer series, the first line is associated with an initial energy level ni = 3. This means that the electron starts in the third energy level and transitions to the second energy level (nf = 2). Each line in the series corresponds to a different transition between energy levels.
Based on this information, the second line in the Balmer series would correspond to a transition where the electron starts from the fourth energy level (ni = 4) and ends up in the second energy level (nf = 2). This transition represents a higher energy change compared to the first line in the series.
Therefore, for the Balmer series, the second line would have ni = 4, indicating that the electron transitions from the fourth energy level to the second energy level.
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y=
\,\,x^2+4x-4
x
2
+4x−4
y=
y=
\,\,x-6
x−6
A parallelogram has height 9cm and area 45cm? What
is the length of its base?
Answer: Firstly the area of parallelogram is. = b×h. so value of base is 9cm and height is 45cm . So area is equal to. base×height. = 9×45= 405² cm.
405cm²
A popular 24-hour health club, Get Swole, has 29 people using its facility at time t=0. During the time interval 0≤t≤20 hours, people are entering the health club at the rate E(t)=−0.018t 2
+11 people per hour. During the same time period people are leaving the health club at the rate of L(t)=0.013t 2
−0.25t+8 people per hour. a.) Is the number of people in the facility increasing or decreasing at time t=11 ? Explain your reasoning. b.) To the nearest whole number, how many people are in the health club at time t=20. c. At what time t, for 0≤t≤20, is the amount of people in the health club a maximum? Justify your answer.
a) The rate of people leaving the health club, L(t), can be calculated as:
L(11) = 0.013(11)^2 - 0.25(11) + 8
b) To find the number of people, we integrate the net rate of change over the time interval:
Number of People at t=20 = Integral of (E(t) - L(t)) dt, from t=0 to t=20
c) This can be done by finding the critical points of the net rate of change and evaluating them to determine whether they correspond to maximum or minimum values.
To determine whether the number of people in the facility is increasing or decreasing at time t=11, we need to compare the rates of people entering and leaving the health club at that time.
a) At time t=11 hours:
The rate of people entering the health club, E(t), can be calculated as:
E(11) = -0.018(11)^2 + 11
Similarly, the rate of people leaving the health club, L(t), can be calculated as:
L(11) = 0.013(11)^2 - 0.25(11) + 8
By comparing the rates of people entering and leaving, we can determine if the number of people in the facility is increasing or decreasing. If E(t) is greater than L(t), the number of people is increasing; otherwise, it is decreasing.
b) To find the number of people in the health club at time t=20, we need to integrate the net rate of change of people over the time interval 0≤t≤20 hours.
The net rate of change of people can be calculated as:
Net Rate = E(t) - L(t)
To find the number of people, we integrate the net rate of change over the time interval:
Number of People at t=20 = Integral of (E(t) - L(t)) dt, from t=0 to t=20
c) To determine the time t at which the number of people in the health club is a maximum, we need to find the maximum value of the number of people over the interval 0≤t≤20.
This can be done by finding the critical points of the net rate of change and evaluating them to determine whether they correspond to maximum or minimum values.
Let's calculate these values and solve the problem.
Note: Since the calculations involve a series of mathematical steps, it would be best to perform them offline or using appropriate computational tools.
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What is function and not function?
Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.
Step-by-step explanation:
evaluate the expression (− 4.8)− 9 ⋅ (− 4.8)9
The approximate value of the expression (−4.8)−9 ⋅ (−4.8)9 is 0.99999999735.
To evaluate the expression (−4.8)−9 ⋅ (−4.8)9, we need to follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
Let's break down the expression step by step:
(−4.8)−9 means raising −4.8 to the power of -9.
First, let's calculate (−4.8)−9:
(−4.8)−9 = 1 / (−4.8)9 (since a negative exponent signifies taking the reciprocal of the base)
Now, let's calculate (−4.8)9:
(−4.8)9 ≈ -11084.4720416 (using a calculator or computational tool to perform the exponentiation)
Substituting this value back into the previous step:
(−4.8)−9 = 1 / (−4.8)9 ≈ 1 / (-11084.4720416) ≈ -9.017218987 × \(10^{(-5)\)
Next, let's move on to the second part of the expression:
(−4.8)−9 ⋅ (−4.8)9 = (-9.017218987 × \(10^{(-5)\)) × (-11084.4720416)
Calculating the multiplication:
(-9.017218987 × \(10^{(-5)\)) × (-11084.4720416) ≈ 0.99999999735
Therefore, the approximate value of the expression (−4.8)−9 ⋅ (−4.8)9 is 0.99999999735.
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Ken gets injured and has to slow the pace he walks. The equation for his new plan is y = -200x +2400 where y is the number of calories left to burn and x is the hours Ken walks. When will ken have 600 calories left to burn.
Answer:
x=9
Step-by-step explanation:
600=-200x + 2400
-2400
-200x = -1800
x = 9
Complete the statement to show an equivalent ratio. ) 18:10 is equivalent to ? : 5.
Answer:
9
Step-by-step explanation:
\( \frac{18}{10} = \frac{?}{5} \\ \\? = \frac{18 \times 5}{10} \\ \\? = \frac{90}{10} \\ \\ ? = 9\)
Answer:9
Step-by-step explanation:because if you divide 10 by 2 it’s 5 and if you divide 18/2 it’s 9
The polygons are regular polygons. Find the area of the shaded region to the nearest tenth.
The area of the shaded region in the regular polygon is 161.3 cm²
What is a regular polygon?
A regular polygon is a polygon in which all the sides are equal.
From the diagram, the regular polygon is a square which is composed of a small square and a large square. In a square, all the sides are equal.
For the small square, half of the diagonal is 4 cm, therefore the length of the diagonal is 8 cm (2 × 4 cm). Let the length of the side be a cm, using Pythagoras theorem:
a² + a² = 8²
2a² = 64
a² = 32
a = √32 = 5.7 cm
The area of the small square = length × length = 5.7 × 5.7 = 32.5 cm²
For the large square, half of the diagonal is 9 cm, therefore the length of the diagonal is 18 cm (2 × 9 cm). Let the length of the side be b cm, using Pythagoras theorem:
b² + b² = 18²
2b² = 324
b² = 162
b = √162 = 12.7 cm
The area of the large square = length × length = 12.7 × 12.7 = 161.3 cm²
The area of the shaded region = Area of large square - Area of small square = 161.3 cm² - 32.5 cm² = 128.8 cm²
The area of the shaded region in the regular polygon is 161.3 cm²
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Answer:
it’s actually 130 or 130.0
Step-by-step explanation:
Each segment of an oil pipeline is 30 feet long. If a segment of the pipeline leaks, repair workers reach the leak by opening the pipeline at the nearest end of the segment. The probability of a leak is distributed continuously and uniformly through each segment.
Required:
a. How far can repair workers expect to travel to reach a leak?
b. There is a 0.30 probability repair workers will travel between three feet and how many feet to reach a leak?
a) There is a 0.30 probability repair workers will travel between three feet and twelve feet to reach a leak.
b) The repair workers can expect to travel 15 feet to reach a leak because the leak can occur anywhere on the 30 feet long segment.
(a) Since each segment of an oil pipeline is 30 feet long. Hence, repair workers can expect to travel 15 feet to reach a leak because the leak can occur anywhere on the 30 feet long segment.
(b) Let X be the distance from one end of the pipe segment to the leak, then X follows a uniform distribution from 0 to 30.
Therefore, the PDF of X is given by `f(x) = 1/30` for `0 ≤ x ≤ 30`Now, P(3 ≤ X ≤ x) = 0.3
Since the distribution is uniform, the area of the shaded region is `0.3 × 30 = 9` square feet.
So, we have: `∫[3, x] f(t)
dt = 9/30` or `∫[3, x] 1/30
dt = 9/30`
Now, `∫[3, x] 1/30 dt = [t/30]_3^x = (x - 3)/30`
Hence, we can write as:`(x - 3)/30 = 0.3`
Solving for x, we get:x - 3 = 9 => x = 12 feet
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Apple trees need to be planted in an orchard. The process takes two hours per tree. The orchard owner wants to find out how many apple trees can be planted in a given amount of time. Which graph correctly represents this relationship between time ( y ) and apples trees planted ( x )?
Graph D
Graph A
Graph C
Graph B
Answer:
Graph C. Hope this is correct!!!
Step-by-step explanation:
Answer: It should be "B". the vertical axis is the time and the horizontal axis is number of trees.
This is what my teacher sent me.
For what real values of a, x2+ax+25 is the square of a binomial? If you find more than one, then list your values in increasing order, separated by commas.
The possible values of a for which x^2+ax+25 is the square of a binomial are +10 and -10
If x^2+ax+25 is the square of a binomial, then it can be expressed in the form (x+b)^2 = x^2+2bx+b^2. Comparing the two expressions, we get:
a = 2b
25 = b^2
Solving for b in the second equation, we get:
b = ±5
Substituting this into the first equation, we get:
a = ±10
Therefore, the possible values of a for which x^2+ax+25 is the square of a binomial are +10 and -10, and these values will make b equal to +5 or -5, respectively.
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The cargo area of the moving truck shown will be completely filled by 45 identical cube-shaped boxes. What will be the surface area of one layer of boxes on the floor of the truck bed?
Answer:
does it give the hight of the truck??
Step-by-step explanation:
Suppose a brewery has a filing machine that is 12 ounce bottles of beer, it is known that the amount of beer poured by this filing machine follows a normal dutiniowa mean of 12.10 and a standard deviation of .05 ounce. Find the probability that the bottle contains between 12.00 and 12.06 ounces
Answer:
Let X be the random variable representing the amount of beer poured by the filling machine. Since X follows a normal distribution with mean μ = 12.10 and standard deviation σ = 0.05, we can use the standard normal distribution to find the probability that a bottle contains between 12.00 and 12.06 ounces.
First, we need to standardize the values 12.00 and 12.06 by subtracting the mean and dividing by the standard deviation:
z1 = (12.00 - 12.10) / 0.05 = -2 z2 = (12.06 - 12.10) / 0.05 = -0.8
Now we can use a standard normal distribution table to find the probability that a standard normal random variable Z is between -2 and -0.8:
P(-2 < Z < -0.8) = P(Z < -0.8) - P(Z < -2) ≈ 0.2119 - 0.0228 ≈ 0.1891
So, the probability that a bottle contains between 12.00 and 12.06 ounces of beer is approximately 0.1891.
Step-by-step explanation:
What is the answer to (10^4)(5^2)^3 divided by (10^3)(5^3)
Answer:
19531250
By divided it
Julia made 7 batches of cookies and ate 3 cookies. There were 74 cookies left. Which expression can be used to determine the average number of cookies per batch?
A=74/4
B=(74+7)/3
C=(74+3)/7
D=74/3*7
Answer:
C
Step-by-step explanation:
She ate 3, so originally 77 cookies. Divide that by 7 batches, which is the equivalent to C
Matthew remembers he also was assigned 12 science problems to complete this week for homework. He finishes all his science problems and no additional math problems. What fraction of the total number of math and science problems has Matthew completed
The fraction of the total number of math Matthew completed = 0
The fraction of the total number of science Matthew completed = 12/12
How to fine the fraction of math and science questionsInformation given requires getting the fraction of problems solved by Matthew
science problems solved = 12
math problems = 0
fraction of total number
for science = science problems solved / total number of problems solved
= 12 / (12 + 0)
= 12/12
for math = math problems solved / total number of problems solved
= 0 / (12 + 0)
= 0 / 12
= 0
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let f be the function defined by f(x)=∫x24g(t)ⅆt. what is the value of f′(3) ?
The value of f'(3) is 6g(9)
To find the value of f'(3), we need to use the fundamental theorem of calculus and differentiate f(x) with respect to x.
We have:
\(f(x) = ∫[0,x^2] g(t) dt\)
Applying the fundamental theorem of calculus, we get:
\(f'(x) = g(x^2) * (d/dx) [x^2]\)
\(f'(x) = 2xg(x^2)\)
So, at x=3, we have:
f'(3) = 2(3)g(9)
f'(3) = 6g(9)
Therefore, the value of f'(3) is 6g(9).
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Complete the table of values for y=x^2-x x -2 -1 0 1 2 3 y 0 2
Answer:
See table below
Step-by-step explanation:
y=x^2-x
x -2 -1 0 1 2 3
y ? ? ? 0 2 ?
completed table:
x -2 -1 0 1 2 3
y 6 2 0 0 2 6
An amusement park charges an admission fee of 25 dollars per person. The cost, C (in dollars), of admission for a group of p people is given by the following.
C = 25 p
What is the cost of admission for a group of 3 people?
Answer:
75 dollars.
Step-by-step explanation:
Each person costs 25 dollars and p=3 we just put this into a equation.
25 × 3 = 75
C = 75
Which of the following are necessary to describe a rotation of a figure on a coordinate plane? choose all that apply.
a. the center of rotation.
b. the shape of the figure.
c. the number of degrees of the rotation.
d. the direction of the rotation.
The necessary components to describe a rotation on a coordinate plane include the center of rotation, the shape of the figure, and the number of degrees of rotation.
To describe a rotation of a figure on a coordinate plane, the necessary components include the center of rotation, the shape of the figure, and the number of degrees of rotation.
a. The center of rotation is a fixed point around which the figure rotates. It serves as the anchor for the rotation and determines the position of the figure after the rotation is applied.
b. The shape of the figure refers to its size, proportions, and geometric characteristics. This information is crucial as the figure retains its original shape during the rotation.
c. The number of degrees of rotation determines the magnitude of the rotation. It specifies how much the figure is rotated around the center of rotation. Positive angles indicate counterclockwise rotations, while negative angles represent clockwise rotations.
d. The direction of rotation is not necessary to describe a rotation on a coordinate plane. The rotation can be defined solely by the center, shape, and angle of rotation.
In summary, the essential components to describe a rotation on a coordinate plane include the center of rotation, the shape of the figure, and the number of degrees of rotation. The direction of rotation is not required to define the rotation.
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A die is tossed 120 times. Use the normal curve approximation to the binomial distribution to find the probability of getting the following result Exactly 19 5's Click here for page 1 of the Areas under the Normal Curve Table Click here for page 2 of the Areas under the Normal Curve Table The probability of getting exactly 19 5's is (Round to 4 decimal places.) urve - page 1 Z Z .00 .01 .02 1.03 .04 .05 .06 А .0000 .0040 .0080 .0120 .0160 .0199 0239 .0279 .0319 .0359 .0398 .0438 .0478 .0517 .0557 0596 1.0636 .0675 .0714 0754 .0793 .0832 .0871 1.0910 .0948 1.0987 .1026 1064 1.48 .49 .50 .51 .52 .53 .54 .55 .56 .57 1.58 .59 .60 .61 .62 .07 .08 .09 .10 .11 .12 .13 .14 .15 16 .17 .18 .19 20 .21 .22 .23 .24 25 .26 A .1844 .1879 .1915 . 1950 .1985 .2019 2054 .2088 .2123 2157 1.2190 2224 .2258 2291 2324 .2357 2389 .2422 .2454 .2486 .2518 2549 2580 2612 .2642 .2673 2704 2734 z .96 .97 .98 .99 1.00 (1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.20 1.21 1.22 1.23 А z .3315 1.44 .3340 1.45 .3365 1.46 .3389 1.47 .3413 1.48 3438 1.49 .3461 1.50 .3485 1.51 3508 1.52 .3531 1.53 1.3554 1.54 .3577 1.55 .3599 1.56 .3621 1.57 3643 1.58 .36651.59 .3686 1.60 .3708 3729 1.62 .3749 1.63 3770 1.64 .3790 1.65 .3810 1.66 .3830 1.67 .3849 1.68 .3869 1.69 .3888 1.70 3907 1.71 A 4251 .4265 1.4279 .4292 1.4306 4319 .4332 .4345 4357 4370 1.4382 .4394 4406 .4418 4430 1.4441 4452 .4463 .4474 1.4485 1.4495 4505 4515 .4525 4535 4545 4554 .4564 1.63 1.61 .64 1.65 .66 .67 .68 .69 .70 .71 .72 .73 .74 .75 .27 Print Done ine NOI page 2 Z 1.92 1.93 1.94 1.95 1.96 (1.97 1.98 1.99 2.00 2.01 2.02 2.03 2.04 2.05 2.06 2.07 2.08 2.09 2.10 2.11 12.12 2.13 12.14 2.15 12.16 2.17 2.18 2.19 A Z 1.4726 2.42 .4732 2.43 4738 2.44 .4744 2.45 4750 2.46 4756 2.47 .4762 2.48 .4767 2.49 4773 2.50 .4778 2.51 4783 2.52 .4788 2.53 4793 2.54 4798 2.55 1.4803 2.56 4808 2.57 4812 2.58 .4817 2.59 .4821 2.60 4826 2.61 .4830 2.62 .4834 2.63 .4838 2.64 1.4842 2.65 .4846 2.66 4850 2.67 .4854 2.68 4857 2.69 A Z .4922 2.92 .4925 2.93 .4927 2.94 .4929 2.95 .4931 2.96 .4932 2.97 1.4934 2.98 .4936 2.99 .4938 3.00 4940 3.01 .4941 3.02 .4943 3.03 .4945 3.04 4946 3.05 4948 3.06 .4949 13.07 4951 3.08 4952 3.09 1.4953 3.10 4955 3.11 .4956 3.12 .4957 3.13 4959 3.14 .4960 3.15 .4961 3.16 4962 3.17 4963 3.18 .4964 3.19 A Z 1.4983 3.42 .4983 3.43 .4984 3.44 .4984 3.45 .4985 3.46 .4985 3.47 .4986 3.48 1.4986 3.49 1.4987 3.50 1.4987 3.51 .4987 3.52 1.4988 3.53 4988 3.54 1.4989 3.55 .4989 3.56 .4989 3.57 .4990 3.58 4990 3.59 4990 3.60 4991 |3.61 .4991 3.62 4991 3.63 4992 (3.64 .4992 3.65 4992 3.66 .4992 3.67 .4993 3.68 .4993 3.69 A 4997 .4997 1.4997 .4997 1.4997 .4997 1.4998 .4998 .4998 .4998 .4998 4998 4998 .4998 4998 .4998 .4998 .4998 1.4998 ,4999 .4999 4999 1.4999 1.4999 .4999 4999 4999 .4999
The probability of getting exactly 19 5's is 0.00132
How to find the probability of getting Exactly 19 5'sFrom the question, we have the following parameters that can be used in our computation:
Number of toss, n = 120
The probability of getting a 5 is
p = 1/6
So, the complement probability is
q = 1 - 1/6
Evaluate
q = 5/6
The probability is then calculated as
P = nCr * p^r * q^(n - r)
Substitute the known values in the above equation, so, we have the following representation
P = 200C19 * (1/6)^19 * (5/6)^(200 - 19)
Evaluate
P = 0.00132
Hence, the probability of getting the following result Exactly 19 5's is 0.00132
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Three-quartersbof the boat in the marina are white, 4/7 of the remaining boats are blue and the rest are red. How many boats are in the marina