The probability of the marksman hitting the long-range target in 5 shots is 0.1429.
The geometric distribution is a Bernoulli experiment that predicts the likelihood of the first success after a certain number of failures. Negative-binomial and binomial distributions are two different forms of Bernoulli trials.
P = 0.268
x = 5
Use the geometric probability mass function below to calculate the probability:
P(X = x) = [tex](1 - P)^{(x-1)}[/tex]× P
P(X = x) = [tex](1 - 0.268)^{(3-1)}[/tex]× 0.268
P(X = x) = 0.1429
The probability that it takes 5 shots for the marksman to hit the long-range target is 0.1429.
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please help me understand...
Answer:
A
Step-by-step explanation:
It is given that lines k and p are parallel. You also know that angles 2 and 3 are equal because of vertical angles. Due to the parallel lines, you can say that angles 1 and 2 are equal because they are corresponding angles (same-side).
These two angles are not alternate interior angles because angle 1 is exterior and on the same side as angle 2. The third option would not make sense because you are trying to prove two angles are equal, not that lines are parallel.
Dylan enjoys ramen noodles and music downloads. His monthly budget for these two items is 15 dollars. If the price of a package of ramen noodles is $1.48 and the price of a music download is $1.15, what is Dylan's opportunity cost of a music download? (Round your answer to the nearest tenth. For example: 1.4).
Data:
• Monthly budget: $15
,• Price of a package of ramen: $1.48
,• Price of a music download: $1.15
Procedure:
[tex]\frac{15}{1.48}\approx10.1[/tex]Answer: 10.1
Which line is perpendicular to a line that has a slope
of 1?
Oline MN
Oline AB
Oline EF
Oline JK
JK is perpendicular to a line that has a slope
What is Slope?
The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).
Two lines, L1 and L2, with slopes m1 and m2 are perpendicular if
m1 x m2 = -1.
In our case m1 = 1
1 x m2 = -1
m2 = -2
so the slope of the perpendicular line is -2.
( -2 x (1) = -1).
As x increases, the line with a slope of -2 increases. Line JK is the only line displayed that fits this. Line AB cannot be the solution because it is "falling" as x grows.
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How many 5's ar in 125 ?
Answer:
There are 25 5's in 125.
Step-by-step explanation:
5 can go in 125 25 times.
(unless you are talking about literally-- there is one 5 in 125)
Find the value of x so that the function has the given value.
m(x)=4x+15 ; m(x)=7
The value of x =5 is a solution to each of the following except which ?
A 3x+2=4x-3
B (x+2)(x-5)=0
C4x+2=15
D 3x-10=x
Answer:
The answer is C
Step-by-step explanation:
If you substitute every x value for 5, you know that every equation can have 5 as an answer but C.
A. 3x+2=4x-3
Isolate the x(s) and combine like terms
3x+2-2=4x-3-2
3x=4x-5
3x-4x=4x-4x-5
-x=-5
-x(-1)=-5(-1)
x=5
Therefore A is a solution
B. (x+2)(x-5)=0
Substitution--Substitute every x for a 5
(7)(0)=0
anything multiplied by 0 will be 0
B. Is a solution because it is true.
C. 4x+2=15
Isolating the x(s) and combine like terms
4x+2-2=15-2
4x=13
4x÷4=13÷4
x=3.25
C is not a solution because x should equal to 5 but in this equation x can only be equal to 3.25. C is wrong.
We know our answer so we don't have to keep solving the rest of the equations.
But I'll just do D
D. 3x-10=x
Isolate the x(s) and combine like terms
3x-x-10=x-x
2x-10=0
2x=10
2x÷2=10÷2
x=5
D is a solution.
Select all ratios equivalent to 8:4
4:2. 14:7. 5:10
Answer:
4:2 and 14:7
Step-by-step explanation:
The ratios equivalent to 8:4 would be:
4:2
14:7
5:10 wouldn't be equivalent because if you simplify that, it is 1/2 and if you simplify 8/4, it is 2. 1/2 and 2 are not the same.
:D
Answer:
They are all equivalent except for 5:10
Step-by-step explanation:
You can write ratios as fractions
[tex]\frac{8}4}[/tex] [tex]\frac{4}{2}[/tex] [tex]\frac{14}{7}[/tex] [tex]\frac{5}{10}[/tex] If I simplify each fraction, I can see that they all equal 2 expect for the the last one.
2 2 2 1/2
An empty 16 gallon tank is being filled with gasoline at a rate of 2 gallons per minute. State the Domain and Range using interval notation or set notation
The volume of gasoline in the tank as a function of time can be determined as,
[tex]V=2t[/tex]The time taken to fill the tank can be determined as,
[tex]\begin{gathered} 16=2t \\ t=8 \end{gathered}[/tex]Thus, the requried domain is,
[tex]t\in\lbrack0,8\rbrack[/tex]The range of the function can be determined as,
[tex]V\in\lbrack0,16\rbrack[/tex]Thus, the above expressions gives the required domain and range of the function.
Is the bottom answer correct.
Answer:
I believe so
Step-by-step explanation:
Use point-slope form to write the equation of a line that passes through the point (-12,15) with slope −1.
Answer: y = -1x + 3
Step-by-step explanation:
Point-Slope form: y - y1 = m(x-x1)
Replace the form with the values provided:
y - 15 = -1(x+12)
Once you get this, you need to get y by itself in order to get it in slope intercept form.
Distribute:
y -15 = -1x - 12
Add -15 to the right side:
y = -1x + 3
Elisa gets a tax free allowance of $6000 and pays tax at 25% on the next $20 000. She pays tax at a rate of 30% on the rest. If she earns $72000 per year, how much tax must she pay?
to determine the number of trout in a lake, a conservationist catches 200 trout, tags them and throws them back into the lake. Later, 56 trouts are caught; 14 of them are tagged. how many trout would the conservationist expect to be in the lake
The conservationist expects to be in the lake would be; 142 trouts.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given, that determine the number of trout in a lake, a conservationist catches 200 trout, tags them, and throws them back into the lake.
We have to find conservationists who expect to be in the lake.
Now, initially, trout count = 200
Then, again 56 trouts caught then, trout count = 200 + 56
But 14 of them are tagged that means; they are part of 200 trouts so we should not count again in 56 trouts.
So, trout count = 200 + 56 – 14 = 142.
Hence, the conservationist expects would be; 142 trouts.
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Given the image Q’(33, 36) and preimage Q(11, 12), by what scale factor was the point dilated?
22
3
24
1/3
Answer:
22
Step-by-step explanation:
i-Ready
Dilations and Similarity -
-
Figure LMNO is dilated to form figure L'M'NO'.
Where is the center of dilation located?
on a vertex of figure LMNO
What is the scale factor of the dilation?
pls help quickly;;;
The location of the center of dilation in the figure and the image formed following the dilation is the point N
The scale factor of the dilation is 0.5
What is a dilation transformation?A dilation transformation resizes an object such that the lengths of the sides of the image (the object formed) following the dilation of the original image has sides that are a constant multiple of the side lengths of the original object.
The center of dilation is a reference and fixed point, such that the center of is in the same location relative to the preimage and the image.
The location or point shared by both the figure LMNO and the image of LMNO formed following the dilation, which is figure L'M'N'O' is the point N.
Therefore;
The center of dilation is the point NThe scale factor of the dilation is found using the definition of a scale factor, which is the ratio of the scale of a new figure to the scale of an original figure, therefore:
[tex]The \ scale \ factor,\, s.f. = \mathrm{\dfrac{Length \ of \ the \ sides \ of \ L'M'N'O'}{Length \ of \ the \ sides \ of \ LMNO}}[/tex]
MN = 6 units
LO = 6 units
ML = ON = √(6² + 2²) = 2·√(10)
M'N' = L'O' = 3 units
M'L' = O'N' = √(3² + 1²) = √(10)
Which gives:
[tex]s.f. = \dfrac{M'L'}{ML} =\dfrac{\sqrt{10} }{2 \cdot \sqrt{10} } = \dfrac{1}{2}=0.5[/tex]
The scale factor of the dilation is, s.f. = 0.5
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i need help with questions a b c d e and f
its actualy geometry
Answer:
a: 120 = 2x + 40
80 = 2x
x = 40
b: (3x + 10) + (x-30) = 180
4x - 20 = 180
4x = 200
x = 50
c: 105 = 2x - 11
116 = 2x
58 = x
d: 8y + 36 = 14y - 24
-6y = -60
y = 10
64 = 48 + x
16 = x
y = 10, x = 16
e: 75 + (2x - 5) = 180
70 + 2x = 180
2x = 110
x = 55
2(55) - 5 =y
y = 105
f: (2x + 8) + (3x + 17) = 180
5x + 25 = 180
x = 31
3(31) + 17 = 5y + 15
110 = 5y + 15
95 = 5y
y = 19, x = 31
PLS HELP!!!
Building an A-frame dog house. Your club has decided to build and sell dog houses for a fundraising project. You found this dog house and set of plans by searching the net.
A customer has offered to pay extra if you will make one half the size called for in the plans. Take each of the 5 measurements shown in the drawing and find half of the measurement. Show your work to get full credit!
The one half of the dimensions of the frame dog house is obtained.
What is termed as the mixed fractions?A mixed fraction is a form of fraction that has both a whole number as well as a fractional part. An improper fraction could also be formed from a mixed fraction. To do so, follow the steps outlined below. Step 1: Multiply the mixed fraction's denominator by the whole number part.Step 2: Subtract the numerator from the product obtained in step 1.Step 3: In numerator/denominator form, compose the improper fraction only with sum obtained in step 2.For the given question, the dimensions of the frame dog house are given as;
Gusset plate:Height = 5 ³/₂ inchesBase = 3 ¹/₂ inchesFloor plate = 47 ¹/₄ inches Thickness = 2 inchesSlope = 45 ¹/₄ inchesConvert the following fraction in improper by the above method;
Gusset plate:Height = 13/2 inchesBase = 7/2 inchesFloor plate = 189/4 inches Thickness = 2 inchesSlope = 181/4 inchesNow, customer has offered to pay extra if you will make one half the size called for in the plans.
Multiply each dimension with 1/2.
Gusset plate:Height = 13/2 × 1/2 = 13/4 inchesBase = 7/2 × 1/2 = 7/4 inchesFloor plate = 189/4 × 1/2 = 189/4 inches Thickness = 2× 1/2 = 1 inchSlope = 181/4 × 1/2 = 181/8 inchesThus, the one half of the dimensions of the frame dog house is obtained.
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the d score is a standardized measure of the degree to which the independent variable caused a change in the dependent variable. this is also known as the
The standardized measure of the degree to which the independent variable caused a change in the dependent variable is a standard change.
What is a dependent variable?A dependent variable is what is determined in an experiment or test and is the one that is influenced throughout the experiment. The dependent variable is affected by the independent variable.
In mathematical modeling, statistical modeling, and experimental sciences, dependent and independent variables are variables. Dependent variables are so named because their values are explored in an experiment under the assumption or requirement that they are dependent, by some law or rule, on the values of other variables.
In conclusion, the standard change illustrates the change.
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find the remainder when 2 to the 100th power is divided by 5. explain your work
When 2 to the power of hundred is divided by 5 it show s remainder of 1
How to calculate the value of 2 to the 100th power divided by 52 to the 100th power is solved as follows
2 ^ 100 = 1.2676506 * 10^30
This is solved using a calculator and the solution means that
2 * 2 * 2 * 2 * 2 * 2 * 2 * 2...............2 (2 multiplying itself till the number of 2's are up to 100)
This gives the value = 1.2676506 * 10^30
Division of the 2^100, by 5
2^100 / 5
2^1 / 5 remainder =2
2^2 / 5 remainder = 4
2^3 / 5 remainder = 3
2^4 / 5 remainder = 1
2^5 / 5 remainder = 2
2^6 / 5 remainder = 4
2^7 / 5 remainder = 3
2^8 / 5 remainder = 1
2^9 / 5 remainder = 2
2^10 / 5 remainder = 4
2^11 / 5 remainder = 3
It can be seen that it generates a pattern which is
1243The pattern counts in 4's. If we follow the pattern and count to 2^30
= 100 / 4
= 25 ⇒ this is a multiple of 4 and multiples of 4 goes with remainder 1
This is to say
2^97 / 5 remainder = 2
2^98 / 5 remainder = 4
2^99 / 5 remainder = 3
2^100 / 5 remainder = 1
Hence 2^100 divided by 5 will give a remainder of 1
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a rope passing through a capstan on a dock is attached to a boat offshore. the rope is pulled in at a constant rate of 6 ft/s and the capstan is 5 ft vertically above the water. how fast is the boat traveling when it is 12 ft from the dock?
Answer:The boat is traveling at a rate of 3 ft/s.
Step-by-step explanation:
on average, 12 customers use the bank's atm during the noon lunch hour. what is the probability that exactly 10 customers will use the atm during the next noon lunch hour? assume the poisson distribution applies.
The probability that exactly 10 customers will use the atm during the next noon lunch hour is 0.0948
How to determine the probability the number of customers is 10From the question, we have the following parameters:
Average number of customers = 12
Number of customers = 10
The above parameters means that:
x = 10
λ = 12
The probability of a Poisson distribution is represented as
P(x) = λˣe⁻λ/x!
This gives
P(x = 12) = 10¹² * e⁻¹⁰/12!
Evaluate
P(x = 12) = 10¹² * e⁻¹⁰/479001600
Solving further, we have
P(x = 12) = 0.0948
Hence, the probability is 0.0948
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The diagram show that PQR and SQT are straight lines.
Find the value of
As per the angle sum property, the value of x is 125°
Angle sum property:
According to the angle sum property, the sum of interior angles of a triangle is 180°.
Given,
In the given diagram, PQR and SQT are straight line.
Now we need to find the value of x.
As per the angle sum property, we know that the sum of all the angles of the triangle is 180 degrees.
While we equate the given values within this property, we get.
x° + 55° = 180°
x° = 180° - 55°
x° = 125°
Therefore, the value of x is 125°.
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help please its urgent
Answer:
Option 1. This is a vertical pair of angles because they are two nonadjacent (not next to each other) angles formed by intersecting lines. The sides of one angle are the opposite rays to the sides of the other angle. (Angle 5=Angle 7)
Option 2 and 4 are wrong as the angles are not created by a set of parallel lines and a transversal.
Option 3 is wrong as the angles are not adjacent.
Option 5 is wrong as the angles do not have a sum of 90°.
A car's velocity is modeled by v(t) = 0.5t^2 -14t+ 80 for 0 less than or equal to t less than or equal 14, where the velocity is in feet per second and time is in seconds. Where does the car come to a complete stop?
The car stops after moving for 20 seconds
How to determine when the car comes to a stop?From the question, the function is given as
v(t) = 0.5t^2 - 14t + 80
When the car comes to a stop, the vehicle is 0
This is represented as
v(t) = 0
So, we have
0.5t^2 - 14t + 80 = 0
Expand the equation
0.5t^2 - 10t - 4t + 80 = 0
Factorize the equation
0.5t(t - 20) - 4(t - 20) = 0
So, we have
(0.5t - 4)(t - 20) = 0
Solve for t
t = 8 and t = 20
20 is greater than 8
Hence, the car comes to a stop at 20 seconds
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In a class of 25 students, 15 of them have a cat, 16 of them have a dog and 3 of them have neither. Find the probabillity that a student chosen at random has both
9/25
Step-by-step explanation:
students who have either cat or dog =25-3=22
students who have both= 15+16-22= 9
probabillity that a student chosen at random has both= 9/25
The temperature is −4°F. What will the temperature be if the temperature rises 20°F?
Answer:
16°F
Step-by-step explanation:
The temperature is −4°F. What will the temperature be if the temperature rises 20°F?
-4 + 20 = 16
so:
16°F
TEST SCORES The average test score in a class is 74%. Half of the class scored within 7 points of the average.
One student received a score of x%. Which shows an expression that could be used to determine how far the student's score is from the average?
A. |74-7|
B. |x|-74
C. |x-74|
D. 74-|7|
It is to be noted that the absolute expression that shows how far the student's score is from the average is given as: "| x - 74| (Option C)
What is the justification for the above result?The student obtained a score of x% based on the question. As a result, x% might be larger or lower than the average score of 74%.
To establish how distant the student's score is from the average, we must subtract the student's score from the average score; i.e. (x - 74)
This difference, however, might be negative: as a result, the absolute value of (x - 78) must be calculated, yielding |x - 74|.
As a result, the phrase that may be used to assess how distant the student's score is from the average is as follows: |x - 74| which is the same as option c - An Absolute expression.
Absolute expressions are or modulus of a real number x, abbreviated |x| in mathematics, is the non-negative value of x regardless of its sign.
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according to multiple studies, including those by the american association of university women and the pew research center, on average, women are paid approximately which percent of what men are paid? select one: a. 80 b. 100 c. 90 d. 70
Women are paid approximately 80 percent of what men are paid.
Multiple studies have been carried out to discuss the income inequality prevailing in United States. Pay inequity has been found as a corollary of the income inequality.
The women and men has different pay levels for the same work at certain work places. Income inequality is considered as an injustice and to put forward this issue may organizations are trying.
Hence according to multiple studies, including those by the American association of university women and the pew research center, on average, women are paid approximately 80 percent of what men are paid.
We can see the appreciable difference in the pay levels of women and men prevailing.
As a result several laws has been passed recently to have a solution for this injustice.
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when writing a repeating decimal as a fraction why does the fraction always have only 9’s or 9’s and 0’s as digits in the denominator
When writing a repeating decimal as fraction , the fraction do not always have only 9’s or 9’s and 0’s as digits in the denominator .
Repeating Decimal is a decimal in which after certain point a particular digit or sequence of digit repeats itself infinitely .
For Example : 0.66666666...
When in a fraction the numerator is divided by the denominator , it is not at all necessary that the denominator will always have 9’s or 9’s and 0’s .
We can understand more with the help of an example .
example : 1/3 = 0.3333... is a repeating decimal , which does not have a 9 , 0 in the denominator .
(ii) 5/3 = 1.666666.... is a repeating decimal , which does not have a 9 , 0 in the denominator .
Therefore , When writing a repeating decimal as fraction , the fraction do not always have only 9’s or 9’s and 0’s as digits in the denominator .
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[tex]3 {}^{2} + ( - 4 {}^{2} ) + 5 {}^{2} [/tex]I'm confused on that can you help me please?
We have to replace the values in the equation
[tex]x^2+y^2+z^2=(3)^2+(-4)^2+(5)^2=9+16+25=50[/tex]Since the square of a negative number is a positive number, (-4)^2 = +16
Simplify. I^61
(I is invisible number)
PLEASE HELP
After simplifying i^61 we get the answer is i
Define Complex number
Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labelled i sometimes known as the imaginary unit, and satisfying the equation i² = 1.
We have the given expression : i ^ 61
Rewrite it,
i ^ 61 as (i^4)^15 * i
we know, i² = -1
so, i ^ 4 = i² * i² = -1 * -1 = 1
so, put i ^ 4 value,
⇒1^15 * i
power 1 to the 15 is 1,
⇒1 * i
⇒ i
Hence, the answer is ' i '
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