The formula for calculating the probability of one success under certain conditions is:
x=0.4.
What is probability?"The ratio of the number of favorable outcomes to the total number of outcomes is the standard mathematical definition of probability. Probability is never more than one, and it is never equal to that number."
Generally, the equation for Probability is mathematically given as
Probability [tex]$={ }^n C_r p^r q^{n-r}$[/tex]
According to the question,
Total number of trials n'=4
Number of successes r =1
p=0.35
q=1-0.35
q=0.65
Simply replace the value in order to calculate the appropriate probability.
[tex]\text { Probability } &={ }^4 C_1(0.35)^1(0.65)^{4-1} \\[/tex]
[tex]&=\frac{4 !}{(4-1) ! 1 !} \times \frac{35}{100} \times\left(\frac{65}{100}\right)^3 \\[/tex]
[tex]&=4 \times \frac{35}{100} \times \frac{274625}{1000000} \\[/tex]
=0.384475
=0.4
Hence, the probability of 1 success as per the given condition is equal to 0.384475= 0.4.
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just simplify help for math
Answer:
156
Step-by-step explanation:
What is the value of x, if 32x+11x=172
Answer:
I think x=4
Step-by-step explanation:
Add 32x+11x
and the answer of that divided by 172.
Hope is correct and can help you.:)
Answer:
x=4
Step-by-step explanation:
Simplify. Express your answer using positive exponents. (7t)(5t8)
Answer:
280t^2
Step-by-step explanation:
(7t) (5t x 8)
(7t) (5x8t)
(7t) (40t)
280t^2
Hope this helps u ; )
Tom travelled at constant speed of 147 km/h for 3 hours.
Find the distance Tom has travelled.
0
Submit Answer
km
Answer:
441km
Step-by-step explanation:
hope this works :)
Can anyone help me with this?
[tex]Draw\ \overline {AB}\perp\overline {CD}\ at\ point \ A.[/tex]
What is the distance between (-3, 6) and (5, 2)
The distance between (-3, 6) and (5, 2) is 4√5 by using the distance formula.
Distance between two points in x y plane by distance formula is:
= √{(x₁ - x₂)² + (y₁ - y₂)²}
Substituting the values of the points:
= √{( -3 - 5 )² + ( 6 - 2 )²}
Solving it further:
= √{( -8 )² + ( 4 )²}
= √{ 64 + 16 }
= √80
= √(2× 2 × 2 × 2 ×5 )
= 2×2× √5
= 4√5
So, the distance between (-3, 6) and (5, 2) is 4√5 by using the distance formula.
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mrs.wendell has a farm with a hard of 159 cows. the weights of her cows are shown in the histogram. mrs. wendell sells all the cows that weigh between 800 and 1199 pounds approximately what percent of her cows does ms. wendell sell?
According to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.
What exactly is a histogram, and why is it useful?A popular charting tool is a histogram. On an interval scale, it is used to describe either discrete or continuous data. It is widely used to show the key properties of distribution of the data in an easy-to-understand fashion.
How do you interpret a histogram?Examine the histogram to see if it shows a normal distribution. Once you've plotted all of the frequencies here on the histogram, it will take on a shape. If the shape resembles a bell curve, it indicates that perhaps the frequencies are evenly distributed. A peak would appear on the histogram.
Briefing:Ms. Wendell sells 25% of her her cows. While purchasing a cow, it is important to remember that weight is an important factor. While there may be some exceptions, the majority of cows sold in the United States weigh between 800 and 1200 pounds.
So, if your farm falls within this range, it would be wise to consider buying a cow from Mrs. Wendell .
Additionally, based on these numbers alone, it would make sense for you to purchase one or more cattle from Mrs. Wendell.
Therefore,
according to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.
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Find the length of a rectangle with a perimeter of 32 meters and a width of 5 meters
Answer:
Length is 11 meters
Step-by-step explanation:
Formula we use,
→ P = 2(l + w)
Then the length of rectangle will be,
→ 32 = 2(L + 5)
→ 2L + 10 = 32
→ 2L = 32 - 10
→ L = 22/2
→ [ L = 11 m ]
Hence, the length is 11 meters.
4n square + 5n - 636 split the middle term
Step-by-step explanation:
4n² + 5n - 636
splitting the middle term
4n² + 53n - 48n - 636 = 0
n(4n + 53) - 12(4n + 53) = 0
(n - 12) (4n + 53) = 0
n = 12 and n = -53/4
atie said, “Negative numbers are integers.” What was her error?
Answer:
An integer is any positive or negative number.Her error was saying only negative number s
Hope this helps
Good luck ✅Which angle is supplementary to ∠NPI?
Answer:
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180
To show -1 + (-6) on the number line, which directions would you move? A right one unit, then left six units B left one unit, then right six units C right one unit, then right another six units D left one unit, then left another six units
Answer: to the left -7
Step-by-step explanation: -1 + -6 = -7
D) Left one unit, then left another six units.
-1 + (-6) = -7
according to statistics, a person will devote years to sleeping and watching tv. the number of years sleeping will exceed the number of years watching tv by . over the lifetime, how many years will the person spend on each of these activities?
27 years are spent sleeping; 8 years are spent watching television.
What are examples of linear equations?
The typical form for linear equations with two variables is Ax+By=C. For instance, the linear equation 2x+3y=5 is in standard form. Finding both intercepts of an equation in this style is quite easy (x and y). This form is also very useful when attempting to solve structures involving linear equations.Let n constitute the quantity of years looking TV.
Then sleeping equals n+19. So:
n+n+19=35
2n=16
n=8
8 years are spent watching TV; 27 years are spent sleeping.
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If the rectangle below has an area of 32 sq. units, what is the area of the
triangle?
OA. 16 sq. units
B. 24 sq. units
OC. 32 sq. units
OD. 12 sq. units
DA
8
4
8
4
If the area of the rectangle (as shown below in the reference.jpeg attached hereby for reference) is 32 sq. units, then the area of the triangle shown besides the rectangle will be 16 sq. units.
As per the question statement, area of a rectangle (as shown below in the reference.jpeg attached hereby for reference) having a length of 8 units and width of 4 units is 32.
We are required to calculate the area of the triangle (shown beside the above-mentioned rectangle in the reference.jpeg attached hereby).
From the diagram, it is clear that that base of the triangle is 4 units and since it is a right-angled triangle, it's altitude or height is 8 units.
Now the formula to calculate the area of a triangle (A) having base "b" and height "h", goes as [tex]A=(\frac{1}{2}*b*h)[/tex]
Inserting the values of our concerned triangle in the above mentioned formula, we get, Area = [tex](\frac{1}{2}*4*8)=(\frac{4*8}{2})=\frac{32}{2}=16[/tex].
Rectangle: A rectangle is a 4-sided closed polygon (quadrilateral), having 4 right angles, and two pairs of equal and parallel opposite sides.Triangle: This is a 3-sided closed polygon.To learn more about rectangles and triangles, click on the link below.
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Which of the following is true for f?
Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7
What is the correct domain and range?
We are given the function;
f(x) = {3x - 1, if -9 < x ≤ -2
{-5, if -2 < x ≤ 1
{x - 6, if 1 < x < 7
Now, the domain of a function is defined as the set of all possible input values that make the function to exist. Meanwhile, the range of a function is the set of all possible output values that make the function to exist.
Looking at the given intervals and combining them all, we can tell that the domain is as follows; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7
Now, the range for 3x - 1 is;
3(-9) - 1 = -28 and 3(-2) - 1 = -7
Range is greater than -28 and less than or equal to -7
Range of x - 6 will be greater than -5 and less than 1
Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7
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In simplified form, the square root of 18 is _____. i need help ASAP i will give brainliest
The Answer is 4.25
hope fully this helps
Answer:
√18 = 3√2
Step-by-step explanation:
√18
√(9×2)
√9 × √2
3 ×√2
= 3√2
Hellpp asappp broooooo
a piece of wire 100 inches long is cut into two pieces and each bent into the shape of a square. if the sum of the areas of the two squares is 400 in2, find the length of each piece of wire.
For the given wire, the length of each piece of wire will be 76inch and 24 inch and quadratic equation will be x² - 100x + 1800 = 0
What is a quadratic equation?An algebraic equation of a second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
Given,
Length of wire = 100 inches
Sum of the areas of two squares = 400 inch²
let length of one wire - x
the length of other wire will be - 100-x
Now, the area of the square = Side²
⇒ (x/4)² + ((100 - x)/4)² = 400
⇒ (1/4)² (x² + 10000 + x² - 2(100)(x)) = 400
⇒ 10000 + 2x² + - 200x = 400 × 16
⇒ 2x² - 200x = 6400 - 10000
⇒ 2x² - 200x = - 3600
⇒ x² - 100x + 1800 = 0
⇒On solving for the value of x, we have x= 76 and 24
Now,
76/4 = 19,
24/4 = 6
So, we have the length of each wire as 76inch and 24inch
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Question
What is the value of x in this figure?
Enter your answer in the box.
x =
Answer:
360° = 131° + 110° + 107° + 108°
360° = 456° + x
.: x = -96°
if $n$ is a positive integer, then let $f(n)$ be the sum of the digits of $\frac{1}{5^{{}^n}}$ that are to the right of the decimal point. what is the smallest positive integer $n$ such that $f(n) > 10$?
The smallest positive integer is 1.
What is positive integer?Positive Numbers definition the meaning of positive whole numbers in numerical states that "Numbers that are more noteworthy than zero are positive numbers". Numbers can be grouped into three kinds: negative whole numbers, zero, and positive whole numbers. Normal numbers are extremely normal to people since they come from counting objects like apples or sheep.
If s is integer
S = n (a + l)/2
Normal numbers can be utilized to assess your assets, the amount of you possess. There is no biggest regular number. The following regular number can be found by adding 1 to the ongoing normal number, creating numbers that go on "for eternity". Every one of the numbers we use for counting are positive whole numbers. Positive numbers are entirely of a bigger gathering of numbers called whole numbers. Numbers are the entire numbers, both positive and negative. By entire numbers we mean numbers without divisions or decimals.
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There are 17 biscuits in a packet.
There are 24 packets of biscuits in a box.
How many biscuits are there in a box in total
Answer:
408 buiscuits
Step-by-step explanation:
it easy you will just multiply 17(no of buiscuits) × 24(packets of buiscuits)
total = 17×24
total = 408 buiscuits in a box
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Stocks ms. patel invested a total of $825 in two stocks. at the time of her investment, one share of stock a was valued at $12.41 and a share of stock b was valued at $8.62. she purchased a total of 79 shares. select the system of equations that model the situation. solve by using substitution.
Ms Patel purchased 38 shares of stock a and 41 shares of stock b
Total amount invested in the two stocks = $825
Value of stock a = $12.41
Value of stock b = $8.62
Let the number of shares of stock a be x
Let the number of shares of stock b be y
Therefore, forming the equation we get:
x + y = 79------(1)
12.41x + 8.62y = 825
1241x + 862y = 82500 ------(2)
Multiplying equation (1) by 862 we get,
862x + 862y = 68098------(3)
Equating equations (2) and (3) we get
379x = 14402
x = 38
Putting x = 38 in (1) we get
y = 41
Hence, she purchased 38 shares of stock a and 41 shares of stock b
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which description best explains the domain of ? the elements in the domain of f(x) for which g(f(x)) is defined
According to the given data the domain of g[f(x)] is all real numbers.
√2 and -√2.
The correct option is 1.
What is domain?The collection of potential inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function. The collection of things that the machine will accept as inputs is known as the domain in the function machine paradigm.
According to the given information:We will respond to this question using two functions:
f(x) = x² and g(x)
= x²/ x-2
Because the domain of f(x) is the set among all real numbers,
Except for 2, the domain of g(x) is all real integers.
Now
g[f(x)]= g(x²)
= x²/ x-2
Except for real numbers, the domain of g[f(x)] is all real numbers.
√2 and -√2.
The following is the best definition of the domain of g[f(x)]:
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I understand that the question you are looking for is:
Which description best explains the domain of (g(f(x))?
the elements in the domain of f(x) for which g(f(x)) is definedthe elements in the domain of f(x) for which g(f(x)) is not zerothe elements in the domain of g(x) for which g(f(x)) is definedthe elements in the domain of g(x) for which g(f(x)) is not zeroi need drawing ideas
Answer:
Try drawing whatever makes you feel satisfaction or happiness. There is inspiration all around you. :)
LIST ON WHAT TO DRAW
just draw something colourful
draw something you that you like or admire
or if my options aren't helpful just look for something at the internet
draw anything that you might be in your mind
HOPE IT HELPS
5 x 10^2 as a standard notation
Answer:500
Step-by-step explanation:
Molly us playing softball. Early in the game she has 12 catches. For the game Molly had -5 catches. How many catches did she drop?
8 divided by 1 4/5 write the quotient in lowest terms
According to the given statement;
Quotient in lowest terms for 8 divided by 1 4/5 is 4.4444444
what is fraction?A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object. Let's use an illustration to better comprehend this idea. The pizza in the following image has been sliced into 8 equally sized pieces. Now, if we wish to refer to a single portion of the pizza, we can do so by using the notation 1/8, which indicates that we are talking about one portion out of 8 equally sized portions.
According to the given values;
8 : 1( 4/5) = 40/9
= 4 4/9
≅ 4.4444444
Hence, Quotient in lowest terms for 8 divided by 1 4/5 is 4.4444444.
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Does anyone know this answer???
Answer:
slope = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 6, - 5 ) and (x₂, y₂ ) = B (- 4, - 8 )
m = [tex]\frac{-8-(-5)}{-4-(-6)}[/tex] = [tex]\frac{-8+5}{-4+6}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]
What does the symbol BC represent
Answer:
Step-by-step explanation:
The answer is postulate. That is a rule that is accepted as true without proof.
Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
A(1,7), B(4,2), C(7,7)
The triangle with vertices located at A(1 , 7), B(4 , 2), and C(7 , 7) has its centroid located at (4 , 16/3).
The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.
To get the centroid of a triangle, use the formula given by:
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
where C is the centroid of the triangle located at (x , y)
x1, x2, and x3 are the x-coordinate of the vertices of the triangle
y1, y2, and y3 are the y-coordinate of the vertices of the triangle
Let Point 1(x1 , y1) = A(1 , 7)
Point 2(x2 , y2) = B(4 , 2)
Point 3(x3 , y3) = C(7 , 7)
Plug in the values in the formula.
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
C(x ,y) = [(1 +4 + 7)/3 , (7 + 2 + 7)/3]
C(x ,y) = (12/3 , 16/3)
C(x ,y) = (4 , 16/3)
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