The options given don't correspond to the values in the question. The options are from another question where mean is 5.3 and the probability being looked for is for exactly 3 occurrences and 5 occurrences
Answer:
A) 0.6511
B) Poisson distribution
Step-by-step explanation:
We are given;
Mean: μ = 5.4 minutes
Now, we want to find the probability that there are more than 5 occurrences in ten minutes.
This will be written as;
P(x > 5) = 1 - P(x < 5)
P(x < 5) = P(x = 4) + P(x = 3) + P(x = 2) + P(x = 1) + P(x = 0)
We will use Poisson distribution for this. The formula is;
P(x) = [(e^(-μ)) × μ^(x)]/x!
P(0) = [(e^(-5.4)) × 5.4^(0)]/0! = 0.004517
P(1) = [(e^(-5.4)) × 5.4^(1)]/1! = 0.02439
P(2) = [(e^(-5.4)) × 5.4^(2)]/2! = 0.06585
P(3) = [(e^(-5.4)) × 5.4^(3)]/3! = 0.11853
P(4) = [(e^(-5.4)) × 5.4^(4)]/4! = 0.16
Thus;
P(x < 5) = 0.16 + 0.11853 + 0.06585 + 0.004517 = 0.3489
Thus;
P(x > 5) = 1 - P(x < 5) = 1 - 0.3489 = 0.6511
B) like seen from solution A above, we used Poisson distribution formula.
Thus, random variable x satisfies Poisson distribution
f−1(f(x)) = f(f−1(x)) =
Given:
[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]
To find:
The missing value.
Solution:
We have,
[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex] ...(i)
We know that, if [tex]f(x)[/tex] is a function and [tex]f^{-1}(x)[/tex] is its inverse function, then
[tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex] ...(ii)
From (i) and (ii), we get
Missing value = [tex]x[/tex]
Therefore, the missing value is [tex]x[/tex], i.e., [tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex].
What's the answer to
2(-8+5)+6
Answer:0,zero
Step-by-step explanation: 2(-8+5)+6
first we do the equation in the parentheses (PEMDAS) which equals -8+5=-3
-3 times 2=-6+6=0
Here we go someone help me with this!
Answer:
I think they are-
Step-by-step explanation:
I have never learned this so please don't put every single last bit of trust in me- But I believe they are congruent-
Which expression is equivalent to 42 + 12? 7(6+5) 2(40+6) 6(7+2) 10(32+2)
Answer:
6(7+)
Step-by-step explanation:
1) Start by solving the original equation
42 + 12 = 54
2) Solve the other equations until you find a match
2a) Start with what's in the parenthesis
7(6+5) = 7(11) = 77
2b)
2(40+6) = 2(46) = 92
2c)
6(7+2) = 6(9) = 54
This is your answer
2d)
10(32+2) = 10(34) = 340
Answer: 6(7 +2)
Step-by-step explanation:
Calculate 42 + 12, which is 54.
Calculate 7(6 + 5), which is 7 * 11 = 77.
Calculate 2(40 + 6), which is 2 * 46 = 92.
Calculate 6(7 + 2), which is 6 * 9 = 54.
Calculate 10(32 + 2), which is 10 * 34 = 340.
And, we can conclude the expression 6(7 + 2) is equivalent to 42 + 12.
what I the range of f(x)=4^x?
A. all positive real numbers
B. all real numbers
C. all real numbers grater that or equal to 4
D. all real numbers grater than 4
Answer:
We conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
Step-by-step explanation:
Given the expression
[tex]f\left(x\right)=4^x[/tex]
Determining the domain:
The domain of a function is the set of input values for which the function is real and defined.
It is clear that the given function has no undefined points nor domain constraints.
Therefore, the domain is: -∞ < x < ∞
Thus,
[tex]\mathrm{Domain\:of\:}\:4^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determining the range:
The range is the set of values of the dependent variable for which a function is defined.
We know that the range of an exponential function of the form
[tex]c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k[/tex]
[tex]k=0[/tex]
In other words, the range is all positive real numbers.
Thus,
[tex]\mathrm{Range\:of\:}4^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]
Therefore, we conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
Simplify the expression.
3(2+q)+15 simplified is
Answer:
3q+21
Step-by-step explanation:
Answer:
brainliest plsssss
Step-by-step explanation:
Let's simplify step-by-step.
3(2+q)+15
Distribute:
=(3)(2)+(3)(q)+15
=6+3q+15
Combine Like Terms:
=6+3q+15
=(3q)+(6+15)
=3q+21
A sea lion was swimming at 2 feet below sea level. The number line shows
the location of the sea lion. It then swam down 8 feet. Describe how to use
the number line to find the new location of the sea lion.
109 8-7 654 3 -2-1 0 1 2 345 6789 10
OA. On the number line, move 8 units to the right. End at 10. The sea
lion was 10 feet above sea level.
OB. On the number line, move 8 units to the left. End at -6. The sea
lion was 6 feet below sea level.
O C. On the number line, move 8 units to the left. End at -10. The sea
lion was 10 feet below sea level.
OD. On the number line, move 8 units to the right. End at 6. The sea
lion was6 feet above sea level.
EPREVIOUS
Answer:
C. On the number line, move 8 units to the left. End at -10. The sea
lion was 10 feet below sea level.
Step-by-step explanation:
hope I helped
3x+15/2 <30
Please help fast by the way the whole equation 3x+15 is over 2.
Answer:
x < 15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Write the following in standard form: eight and twelve thousandths.
Answer:
8.012
Step-by-step explanation:
standard : 8.012
written: eight and twelve thousandths.
given f(x)=2x-5, find x when f(x)=9
Answer:
x = 7
Step-by-step explanation:
9 = 2x - 5
add 5 to both sides
14 = 2x
divide by 2 to get x by itself
x = 7
degree of precision 15.68 x 1.1
Answer:
15.68×1.1 = 17.248 so if we see then it has 5 sig figs
It takes Andrew 4 min to swim 5 laps how many laps per min
Answer:
0.8 laps per min
Step-by-step explanation:
4 min / 5 laps
4/5 = 0.8
There were 120 students at a creative writing workshop last year. This year there are 138 students. What is the percent of increase in the number of students at the workshop?
Answer:
34%
Step-by-step explanation:
The percent of increase in the number of students at the workshop is 15%.
Given that, there were 120 students at a creative writing workshop last year. This year there are 138 students.
What is percentage increase formula?The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time. Mathematically, this formula is represented as the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.
Here, initial value = 120 students and final value = 138 students.
Difference in value = Final value - Initial value
=138-120=18
Percentage of increase = [tex]\frac{18}{120}\times 100[/tex]
= 15%
Therefore, the percent of increase in the number of students at the workshop is 15%.
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help been out of school so long don't remember how to do this !
Answer:
2,1
Step-by-step explanation:
Find where both lines meet. Then the x coordinate comes first then the y .
if a model of an airplane is 1/16 scale (1 in.= 16ft), how many inches long would the model be if a certain airplane were 48 ft long?
Answer:
3inchs
Step-by-step explanation:
So with the information we have we know that the airplane is 48ft long and the model is at a 1/16 scale with 1inch=16ft so we just need to divide 48/16 which equals 3
can someone hep me with this
Answer:
What do you need help with?
Step-by-step explanation:
What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points)
Answer:
49
Step-by-step explanation:
49 + 14 = 63
so that means:
x = 49
the perimeter of the ussoscales triangle is 48cm calculate the length of BC
Answer:
where is the pic............
The perimeter of the square below is 36 yards. What is the length of each side?
yards
Answer:
9 yards
Step-by-step explanation:
36 divided by 4 = 9
The length of each side is 9 yards.
What is perimeter?A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.
Given:
The perimeter of the square below is 36 yards.
The length of each side,
= perimeter/ number of sides.
= 36/4
= 9 yards.
Therefore, each side is 9 yards.
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A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds?
Please help me I beg!
Answer:
38.9
Step-by-step explanation:
How do you write 7/10 as a percentage?
Answer:
70%
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
Q. There are 42 teachers that work in a school. On Friday, 29 teachers were present What
percent of the teachers showed up for work?
Answer:
69%
Step-by-step explanation:
An expression is shown: 4.58 + 0.079 What is the value of the expression
Answer:
4.659
Step-by-step explanation:
4.58
+0.079
4.659
(x - 3)(x + 4) = x^2+4
Answer:
x=16
Step-by-step explanation:
Charlie threw a ball up in the air modeled by the function f(x)=−x2+2x+4. Elizabeth release a balloon at the same time, represented by g(x)=2x. At what time do the paths cross and at what height?
Answer:
after 2 secsStep-by-step explanation:
The paths crossed at when the height are equal i.e when f(x) = g(x)
Given
f(x)=−x^2+2x+4
g(x) = 2x
IF f(x) = g(x), then;
−x^2+2x+4 = 2x
−x^2+2x+4 - 2x = 0
−x^2+4 = 0
-x^2 = -4
x^2 = 4
x = ±√4
x = 2 and -2
Time cannot be negative
Hence x = 2
The path crossed after 2 seconds
Half a bottle of lemonade is shared between 3 friends . What fraction will each child get ?
Answer:
1/3
Step-by-step explanation:
i hope this helped !!!!!!!!!
1/6 fraction of bottle of lemonade will each friend gets.
What is Fraction?A fraction represents a part of a whole.
Given,
Half a bottle of lemonade is shared between 3 friends .
Half means 1/2.
One divided by two is half.
This half is shared between three friends.
So we need to divide half by three of friends.
1/2/(3/1)
When a fraction is divided by another fraction, the denominator is multiplied as reciprocal to numerator.
1/2×1/3
1/6
Hence, 1/6 fraction of bottle of lemonade will each friend gets.
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Find the missing side ?
Answer:
37
Step-by-step explanation:
Help me please, which postulate proves these two triangles are congruent?
Answer:
C
Step-by-step explanation:
These triangles do look congruent. However, in fact, we don’t have enough information. We need 3 parts of a trainable to be shown congruent for it to be congruent, including HL congruence (because this requires a right angle). In the diagram, only 2 sides are shown to be congruent. This isn’t enough information to prove that the triangles are congruent. Therefore, it is C.
I hope this helps! :)
worms are used to break down food waste and create a soil conditioning compost. Some worm populations double every 3 months. Suppose the formula y=2(2^x/3) represent the pounds of worms in a population after x months. If there are initially 2 pounds of worms, how many pounds of worms will there be in 1 year? If 2 pounds is approximately 2,000 worms, how many worms will there be after 1 yesr?
8,000 each three months the population is doubled so i figured that each three months there are 2000 more worms i multiplied 3 by 4 Because 3 x 4 is 12 and a year is 12 months, and got 8,000 by multiplying 2,000 by 4. Hope this helps