Let:
m = Number of favourable outcomes = 4
n = Total number of outcomes = 52
A = Draw a five
So:
\(\begin{gathered} P(A)=\frac{m}{n}=\frac{4}{52}=\frac{1}{13}\approx0.0769 \\ As_{\text{ }}a_{\text{ }}percentage: \\ 0.0769\cdot100=7.69\% \end{gathered}\)Answer:
Approximately 0.08
Kamel says that a regular heptagon can be split into 5 triangles as shown in the diagram, so the sum of the interior angle measures is 5(180), or 900°.
regular heptagon split into 5 triangles. segments drawn from one vertex to three adjacent vertices. one segment drawn from a different vertex. none of the segments cross. Which statement best explains Kamel’s diagram and answer?
900° is the sum of the interior angle.
What in mathematics is an inner angle?
An angle inside a form is called an internal angle. The closed form with vertices and sides is called a polygon. Every interior angle of a regular polygon is equal to every other interior angle.
For instance, the inner angles of a square are all equal to the right angle, or 90 degrees. An interior angle is one that is located inside a polygon. An internal triangle angle count is 3.
This regular polygon has 7 sides, and is therefore a heptagon.
To find the sum of the interior angles, imagine dividing the polygon into triangles.
There are 5 triangles, each with .
the sum of the interior angles is 180° ⋅ 5 = 900°
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whats 3/16 divided by 12
Answer:
0.015625
Step-by-step explana
1. The height of a right triangular prism is 1 inches. Each side of the triangular base measures 10 inches, and the height of the base is 82 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism's bases lies completely on one side of the cube.
What is the surface area of the solid formed?
If a right triangular prism's height is 1 inch. The produced solid has the following surface area: = 2,930.05 in².
Right triangular prism describing:A polyhedron with six vertices, nine edges, and five faces is a right triangular prism. Regular prisms have all of their triangles faces equilateral. The prism's rectangular faces will be congruent in this situation.
What is the method for determining a triangular prism's total surface area?A triangular prism's total surface area is the sum of the areas of its three lateral faces (rectangles) as well as two bases (triangles). For something like the surface area of any prism, the most generic formula is:
According to the given data:Given:
Hight = 1 inches
Base of the prism = 10 inches.
The Hight if the base = 82 inches.
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)
Surface area = 5(10× 10) + (0.5÷ 10 × 1) + 3(10× 82)
Surface area = 5(100) +0.05+ 3(810)
Surface area = 500 +0.05 + 2430
Surface area = 2,930.05 in²
The produced solid has a surface area of approximately = 2,930.05 in².
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A pair of parallel lines is cut by a transversal:
A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 25 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 60 degrees.
What is the measure of angle x?
30 degrees
35 degrees
65 degrees
85 degrees
Answer:
I think 30 degrees
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
Please help I need to find the function rule for the table.
Answer:
f(x)= -1 -x
Step-by-step explanation:
-1 -1= 0
-2-1=1
-3-1=2
-4-1=3
What is the range of f(x) = |x| + 7?
−7 ≤ y < ∞
−∞ < y ≤ −7
0 ≤ y < ∞
7 ≤ y < ∞
When the domain is substituted, the Range of the function will be
7 ≤ y < ∞
How can we find Range ?The range of a function is the the spread of minimum value of the function to maximum value. We can find the range by substituting different domains into the function.
Given a function f(x) = |x| + 7
This |x| show that it is a modulus. That is, the domain will always be positive numerals.
The minimum domain = 0, so the minimum f(x) = 0 + 7 = 7
The maximum domain = ∞, so the maximum f(x) = ∞ + 7 = ∞
y = f(x)
Therefore, the range of of the function f(x) = |x| + 7 will be 7 ≤ y < ∞
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You want to study how the number of popped kernels in a microwave popcorn bag is affected by brand, microwave power, and time in microwave. You manipulate three different factors: brand, power, and time. There are three brands, two power settings, and three different microwave times. a. How many unique treatment combinations are there
Answer:
Number of unique treatment combinations = 8
Step-by-step explanation:
Given:
Number of brands = 3
Number of power settings = 2
Number of microwave times = 3
Find:
Number of unique treatment combinations.
Computation:
Number of unique treatment combinations = Number of brands + Number of power settings + Number of microwave times
Number of unique treatment combinations = 3 + 2 + 3
Number of unique treatment combinations = 8
What’s the area of the figure?
Answer:
Where is the figure?
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Kelly, a caterer, is investing some money in equipment and employees to help grow her
business. Recently she spent $40 on equipment and hired a server who makes $16 per hour.
Kelly is hoping to make up these expense at the next job that is scheduled, which pays a
base of $34 in addition to $22 per hour that the server works. In theory, this event could pay
enough to cancel out Kelly's expenditures. How long would the job have to be? How much
would the job pay?
The job should be done for 1 hour
and the job will pay $56
Given, Kelly, a caterer, is investing some money in equipment and employees to help grow her business.
She spent $40 on equipment and hired a server who makes $16 per hour.
Kelly is hoping to make up these expense at the next job that is scheduled, which pays a base of $34 in addition to $22 per hour that the server works. In theory, this event could pay enough to cancel out Kelly's expenditures.
Let, her total expenditure be, E
hours she work be, x
Now, according to the question
E = 16x + 40
E = 34 + 22x
16x + 40 = 34 + 22x
6x = 6
x = 1
Hence, the job should be done for 1 hour
and the job will pay $56
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-6 (a) = 12 What is a?
Answer:
-2
Step-by-step explanation:
A negative times a negative is a positive
I will give Brainliest :)
Answer:
Step-by-step explanation:
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 2 ) ( x - 5 )
The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.
Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )
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The complete question is attached below :
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
Exponential form of 0.0625
Answer:
2⁻⁴
Step-by-step explanation:
0.0625 = 1/16 = 1/2⁴ = 2⁻⁴
Algebra 2, I need help!!! Solve x^2 + 6x + 7 = 0. If you are going to comment in here please know the answer, this is so serious for me. Thank you.
Answer:
Third option
Step-by-step explanation:
We can't factor this so we need to use the quadratic formula which states that when ax² + bx + c = 0, x = (-b ± √(b² - 4ac)) / 2a. However, we notice that b (which is 6) is even, so we can use the special quadratic formula which states that when ax² + bx + c = 0 and b is even, x = (-b' ± √(b'² - ac)) / a where b' = b / 2. In this case, a = 1, b' = 3 and c = 7 so:
x = (-3 ± √(3² - 1 * 7)) / 1 = -3 ± √2
PLZZZZZZZ I need help i will mark brainlest
ANSWER
My answer is in the photo above
find mesure of angle 2 (pic attached) (will mark brainliest)
Answer: The answer is C. 120
I hope u pass the test gl :)
I hope this is the right answer
1. In the figure below, a line intersects two parallel lines. Find the missing angle measurements and then use the
word bank to name the angle relationships.
(a)
(b) < b =
(c) < c =
(d)
(e)
(f)
Step-by-step explanation:
Hey there!
There are multiple ways of doing this. I will do it the way worksheets typically intend for you to complete it. I will provide you with the relationship names but they are kinda hard to explain but I am sure you will figure it out based on patterns.
a is 130 degrees due to the alternate exterior relationship.
b is 50 degrees due to vertical angles (it is vertical to an angle of 50 degrees).
c is 130 degrees due to vertical angles (it is vertical to angle a)
e is 130 degrees due to alternate interior angles (it is alternate interior to c)
f is 50 degrees due to alternate exterior angles
h is 50 degrees due to vertical angles (it is vertical to angle f)
Hope that helps :)
plz help with this problem thanks!
Answer:
15.00
Step-by-step explanation:
If you multiply 15 times 100 you'll get 1,500 or 1500
Billy conducted an experiment by rolling a a standard number die 500 times.
During this experiment he rolled a three 120 times. What is the theoretical
probability of rolling a three on a standard number die?
This is due in like a hour please help!
Answer:
i think the fourth one is equvilent ratio
Step-by-step explanation:
One half of 96 is equal to 80% of what number?
(A) 35
(B) 60
(C) 76
(D) 84
(E) 90
the white rabbit has an appointment to see the red queen at 4pm every day of the week except weekends. On Monday he arrives 16 minutes late. Each day after that he hurries more and more and so manages to halve the amount of time that he arrives late by each day. on what day of the week does he arrive just 15 seconds late
Answer:friday
Step-by-step explanation:
On Monday of the week does he arrive just 15 seconds late.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The white rabbit has an appointment to see the red queen at 4pm every day of the week except weekends
Each day after that he hurries more and more and so manages to halve the amount of time that he arrives late by each day.
On Monday he arrives 16 minutes late.
On Tuesday he arrives 8 minutes late.
On wednesday he arrives 4 minutes late.
On Thursday he arrives 2 minutes late.
On Friday he arrives 1 minutes late.
On Saturday he arrives 30 seconds late.
Sunday is a weekend.
On Monday he arrives 15 seconds late.
Hence, On Monday of the week does he arrive just 15 seconds late.
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whats the answer of 23,869 in long division
----------
038 -38-------------
08 -8----------
90 -90TOTAL ANS; 1194.45THE REASON WHY THE 9 TURNED INTO 90 WAS BECAUSE: 9 CAN NOT BE DIVISIBLE BY TWO SO I HAD TO ADD A 0 AND REPLACE THE symbol (.)IN THE ANSWER.I HOPE IT HELPED YOU.DON'T HESITATE TO ASK FOR FURTHUR EXPLANATION.HELP ME FIND HIM (MY LOST LOVE).THANK YOU.# THE BEAUTIFUL EMPRESS!!
help Me out and I’ll give you brainliest
Answer: 5/8
Step-by-step explanation: There are 8 members. Out of 8, there are 5 people's weight that are higher than 135. Therefore the answer is 5/8.
what is the exponential function property of domain?
Answer:
The domain of exponential functions is all real numbers. The range is all real numbers greater than zero. The line y = 0 is a horizontal asymptote for all exponential functions. When a > 1: as x increases, the exponential function increases, and as x decreases, the function decreases.
Cate's Bake Shop has a clearance on day-old baked goods. Loaves of bread *
that usually sell for $2.35 are on sale for $1.39. What is the markdown?
O $0.98
O $0.96
O $0.88
O $0.89
What’s the correct answer answer asap
Answer:
The answer should be B.
Parametric Functions
Answer:
Step-by-step explanation:
it think it 23 becasue u add
1 divide it by 2
Walter works for SCI Energy. His retirement plan contributions are $4,200 at the beginningof each 6-month period.Assume that the account grows at 5% semiannually for 15 years. Find the interestearned.
Given:
Principal = P = $4,200
Time = t = 15 years
Rate = r = 5% = 0.05
semiannually , n = 2
So, the total amount = A
\(\begin{gathered} A=P\cdot(1+\frac{r}{n})^{nt}=4200\cdot(1+\frac{0.05}{2})^{2\cdot15} \\ \\ A=4200\cdot1.025^{30}=8809.78 \end{gathered}\)The interest earned = A - P = 8809.78 - 4200 = 4609.78
so, the answer will be The interest earned = $4,609.78
devonta throws a rock straight down off the edge of a cliff that overlooks the ocean. The distance (d) the rock falls after t seconds can be represented by the equation d = 16t^2 + 24t. if the ocean's surface is 16.4 feet below the cliff, to the nearest tenth, how many seconds will it take for the rock to hit the ocean's surface?
The rock will hit the ocean's surface in approximately 1 second.
We are given the equation d = \(16t^2 + 24t\), where d is the distance the rock falls in feet and t is the time in seconds.
We are also told that the ocean's surface is 16.4 feet below the cliff. This means that when the rock hits the ocean's surface, the distance it falls will be equal to 16.4 feet. So we can set d equal to 16.4 and solve for t:
\(16.4 = 16t^2 + 24t\)
Moving all the terms to one side, we get:
\(16t^2 + 24t - 16.4 = 0\)
Dividing both sides by 8, we get:
\(2t^2 + 3t - 2.05 = 0\)
We can solve this quadratic equation using the quadratic formula:
t\(= (-b \pm \sqrt(b^2 - 4ac)) / 2a\)
Here, a = 2, b = 3, and c = -2.05. Substituting these values, we get:
\(t = (-3 \pm \sqrt(3^2 - 4(2)(-2.05))) / (2(2))\)
Simplifying:
\(t = (-3 \pm\sqrt(33.8)) / 4\)
To the nearest tenth, the positive value of t is:
t ≈ 1.0 second
Therefore, it will take approximately 1 second for the rock to hit the ocean's surface.
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