The context which describes a certain situation from the given is spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue.
Certain probability or certain situation is defined as the situation where the event is sure to happen.
Rolling an even number on a standard six-sided die, numbered from 1 to 6.
The die can be rolled to odd number. Soo it is uncertain.
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue.
This is a certain situation since the spinner will surely land on any of the four colors.
Winning a raffle that sold a total of 100 tickets if you bought 0 tickets.
This is not possible.
Reaching into a bag full of 5 strawberry chews and 15 cherry chews without looking and pulling out a pineapple chew.
This is also not possible.
Hence the certain situation is spinning a spinner.
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I need help right now can someone help me
Step-by-step explanation:
To find the perimeter, we add all side lengths.
Two of the side lengths are given, to find the third side length, we use the following equation based on similarity ratio:
[tex] \frac{kj}{nm} = \frac{kl}{no} [/tex]
[tex] \frac{8}{18.4} = \frac{9}{no} [/tex]
cross multiply fractions.8NO = 165.6
Divide both sides by 8.NO = 20.7
Now we need to find the sum of all sides.20.7 + 23 + 18.4 = 62.1 square units.
Si x es un número, un número aumentado en 6
The algebraic expression representing 6 added to x is given as follows:
x + 6.
How to obtain the algebraic expression?The sentence in the context of this problem is given as follows:
"If x is a number, the number added do 6 is given by".
The number is given as follows:
x.
The addition by 6 means that the number 6 is added to the variable x, as follows:
x + 6.
Which is the algebraic expression.
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A square pyramid has a height of 8 inches and a volume of 600 cubic inches. What is the area of the base of the pyramid?
Answer:
Step-by-step explanation:
A traditional test for extrasensory perception (ESP) involves a set of playing cards, each of which shows a different symbol (circle, square, cross, star, or wavy lines). If C represents a correct guess and I an incorrect guess, what is the probability of
C?
CI (in that order) for two guesses?
CCC for three guesses?
III for three guesses?
The solutions are,
a) the statistical procedure you should use to answer this question is normal approximation.
b) p = 0.1034 is the probability of correctly predicting exactly 20 cards in a series of 100 trials.
c) 0.1238 is the probability of correctly predicting more than 16 cards in a series of 64 trials.
Here, we have,
a)
X - the number of success
following the binomial distribution with p = 1/5
or when np > 5 ,nq > 5
we can use normal approximation
mean = np
sd =sqrt(npq)
b)
here n = 100
P(X = k) = 100Ck * (1/5)^k *(1-1/5)^(100-k)
P(X = 20) = 100C20 (1/5)^20* (4/5)^80
by normal approximation
μ = 20 and σ = 4 For X = 20,
P(19.5 < X< 20.5)
P ( −0.13<Z<0.13 )=0.1034
and p = 0.1034.
c)
P(X > 16)
mean = np = 64/5 = 12.8
sd = sqrt(npq) = sqrt(12.8*.8)= 3.2
P(X > 16)
=P(Z > (16.5 - 12.8)/3.2)
= P(Z> 1.1562)
= 0.1238
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This question is incomplete, here is the complete question:
A test developed to measure ESP involves using Zener cards. Each card shows one of five equally likely symbols (square, circle, star, cross, wavy lines) and the person being tested has to predict the shape on each card before it is selected. Answer questions a-c below to find each of the probabilities requested for a person who has no ESP and is just guessing. a. Determine the statistical procedure you should use to answer this question and explain why. b. What is the probability of correctly predicting exactly 20 cards in a series of 100 trials? c. What is the probability of correctly predicting more than 16 cards in a series of 64 trials?
Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola:
16.44y = x²
The focus is
The directrix is
The focal diameter is
The vertex is
The axis of symmetry is
As per the given data, Focus: (0, 16.44), Directrix: y = -16.44, Focal Diameter: 32.88, Vertex: (0, 0), and Axis of Symmetry: x = 0 (y-axis).
To determine the focus, directrix, focal diameter, vertex, and axis of symmetry for the given parabola equation, we can rewrite it in standard form, which is of the form [tex](x - h)^2[/tex] = 4p(y - k), where (h, k) represents the vertex.
16.44y = x²
Divide both sides of the equation by 16.44 to isolate y:
y = (1/16.44)x²
Comparing this equation to the standard form, we can see that h = 0 and k = 0.
Therefore, the vertex is (h, k) = (0, 0).
The general equation for a parabola in standard form is given by (x - h)^2 = 4p(y - k), where p is the distance between the vertex and the focus (or the vertex and the directrix). In this case, p can be found using the coefficient of y in the equation (1/4p = 1/16.44).
Thus, p = 16.44.
The focus is located at a distance of p units above the vertex, so the focus is (0, p) = (0, 16.44).
The directrix is located at a distance of p units below the vertex, so the directrix is the horizontal line y = -p, which gives us y = -16.44.
The focal diameter is twice the value of p, so the focal diameter is 2p = 2 * 16.44 = 32.88.
Therefore:
- The focus is (0, 16.44).
- The directrix is y = -16.44.
- The focal diameter is 32.88.
- The vertex is (0, 0).
- The axis of symmetry is the vertical line passing through the vertex, which is the y-axis (x = 0).
Thus, Focus: (0, 16.44), Directrix: y = -16.44, Focal Diameter: 32.88, Vertex: (0, 0), and Axis of Symmetry: x = 0 (y-axis).
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What does a positive scatter plot represents y= 2x+0.9
Answer:
Pretty sure the answer is A
Step-by-step explanation:
In art class students are mixing blue and red paint to make purple paint. Cameron mixes 5 cups of blue paint and 8 cups of red paint. Dianelys mixes 7 cups of blue paint and 10 cups of red paint. Use Cameron and Dianelys’s percent of red paint to determine whose purple paint will be redder.
A 25-year-old woman burns 300-60t cal/hr while walking on her treadmill. Her caloric intake from
drinking Gatorade is 140t calories during the tth hour. What is her net decrease in calories after
walking for 5 hours?
The net decrease in calories after walking for 5 hours will be 50 calories.
we have given that the 25-year old woman burns 300-60tcal/hr and Her caloric intake from drinking Gatorade is 110t calories during the t hour.
And we have to find the net decrease in calories after walking for 5 hours.
So, For this purpose,
We know that the
calories burns in one hour = 300-60tt
calories burns in 5 hours = 5(300-60t)
calories burns in 5 hours = 1500- 300t
Now,
Calorie intake in t hours = 110t
And net decrease in calories after walking for 5 hours = 1500- 300t + 140t
the net decrease is 50 cal.
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Research about 5 monuments around the world where Roman numerals are used to depict the year in which they were built explain in 5 sentences about the monument and stick pictures of the same also write the Hindu Arabic form of the Year they were built.
Five monuments around the world where Roman numerals are used to depict the year in which they were built are indicated below.
We have,
the Roman Monuments and the dates they were built:
The roman monuments and the dates they were built are:
Roman Theatre of Merida - 16BC
The White Marble Arch of Septimius Severus - 203 AD
The Pantheon - 125 AD
The colosseum - 70 AD
the Mausoleum of Helena - 28 BC
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Which of the following will lower your credit score for a while?(1 point)
You request a copy of your credit report.
A company requests a copy of your report to determine whether they should send you a pre-approved credit card offer.
Your credit card company requests a copy of your credit report as part of a regular review of your account.
You apply for a student loan and the lender requests a copy of your credit report.
The only one that can possibly cause lower your credit score is "You apply for a student loan and the lender requests a copy of your credit report."
The lender normally does a hard inquiry on your credit record when you apply for a new loan or line of credit.
Your credit score may be slightly lowered as a result of this hard inquiry, typically by a few points.
However, the effect is often short-lived, and your credit score should gradually improve.
Hence the correct option is You apply for a student loan and the lender requests a copy of your credit report.
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NO LINKS!!
Will give brainliest!!!!!
pls help
Answer:
sec B = [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
using the identity
sec B = [tex]\frac{1}{cosB}[/tex]
cos B = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{CD}[/tex] = [tex]\frac{8}{15}[/tex]
then
sec B = [tex]\frac{1}{\frac{8}{15} }[/tex] = [tex]\frac{15}{8}[/tex]
Part II . if f(x)= x-2 and g (x)=-2x+7, what value of x makes f(x)=g(x)?
Part III. Use the substitution method to solve the system of equations. Write your answer as an ordered pair. y=x-2 and y=-2x+7
The value of x is 1/3 and y is -5/3. using substitution method.
We have,
A linear equation has one or two variables.
No variable in a linear equation is raised to a power greater than 1.
No variable is used as the denominator of a fraction.
A linear equation is defined as an equation that is written in the form of ax+by=c.
When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.
solving this we will get the valve of Y if x is given.
CALCULATION:-
Y=x-2 -----(1)
y=-2x+7 ---------(2)
putting the value of y in the equation (2)
x-2= -2x+7
x+2x=7+2
3x=9
x=9/3
x=1/9
putting the value of X in equation(1)
Y=x-2 -----(1)
y=1/3-2
y=-5/6
Hence, The value of x is 1/3 and y is -5/3. using substitution method.
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complete question:
Use the substitution method to solve the system of equations write your answer as an ordered pair Y=x-2 and y=-2x+7
Someone solve this for me
The solutions to the circle equations in the attached figure are: (5) (x + 2)² + (y - 1)² = 20, (6) x² + y² = 9, (7) (x + 3)² + (y - 1)² = -9 and (8) (x - 4)² + (y - 3)² = -16
Finding the Solution to Equation of CircleEquation of a Circle in the Cartesian coordinate system (x, y) is given by:
(x - h)² + (y - k)² = r²
where
(h, k) = coordinates of the center of the circle
r = radius.
The expression (x - h)² + (y - k)² represents the squared distance between any point (x, y) on the circle and the center point (h, k). By setting this expression equal to the square of the radius, r², we ensure that all points on the circle are equidistant from the center.
You can also expand the equation to get the standard form:
x² - 2hx + h² + y² - 2ky + k² = r².
Using the information above, let us solve the circle equations:
5) y² + 4x - 20 - 2y = -x²
First we need to find the coordinates (h, k) of the circle
x² + 4x + y² - 2y = 20
-2h = 4 => h = -2
-2k = -2 => k = 1
(h,k) = (-2, 1)
Rewrite the equation in a standard circle format
Recall: (x - h)² + (y - k)² = r²
(x - (-2))² + (y - (1))² = 20
(x + 2)² + (y - 1)² = 20
Therefore the solution to the circle equation is: (x + 2)² + (y - 1)² = 20 and the curve is attached.
6) -9 = -y² - x²
First we need to find the coordinates (h, k) of the circle
x² + y² = 9
-2h = 0 => h = 0
-2k = 0 => k = 0
(h, k) = (0, 0)
Rewrite the equation in a standard circle format
Recall: (x - h)² + (y - k)² = r²
(x - (0))² + (y - (0))² = 9
x² + y² = 9
Therefore the solution to the circle equation is: x² + y² = 9 and the curve is attached.
7) 9 = 2y - y² - 6x - x²
First we need to find the coordinates (h, k) of the circle
x² + 6x + y² - 2y = -9
-2h = 6 => h = -3
-2k = -2 => k = 1
(h, k) = (-3, 1)
Rewrite the equation in a standard circle format
Recall: (x - h)² + (y - k)² = r²
(x - (-3))² + (y - (1))² = -9
(x + 3)² + (y - 1)² = -9
Therefore the solution to the circle equation is: (x + 3)² + (y - 1)² = -9 and the curve is attached
8) 16 + x² + y² - 8x - 6y = 0
First we need to find the coordinates (h, k) of the circle
x² - 8x + y² - 6y = -16
-2h = -8 => h = 4
-2k = -6 => k = 3
(h,k) = (4, 3)
Rewrite the equation in a standard circle format
Recall: (x - h)² + (y - k)² = r²
(x - (4))² + (y - (3))² = -16
(x - 4)² + (y - 3)² = -16
Therefore the solution to the circle equation is: (x - 4)² + (y - 3)² = -16 and the curve is attached.
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9s+13=10s+12 help me out
The answer to the equation 9s + 13 = 10s + 12
We must place the variable s on one side of the equation in order to solve the equation 9s + 13 = 10s + 12. Here's how to accomplish it:
9s + 13 = 10s + 12
First, by taking 9s away from both sides of the equation, let's move all the terms containing s to one side:
9s - 9s + 13 = 10s - 9s + 12
That amounts to:
13 = s + 12
Next, take 12 off of both sides to isolate the variable s:
13 - 12 = s + 12 - 12
1 = s
As a result, s = 1 is the answer to the equation 9s + 13 = 10s + 12
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I need help solving please
The value of slope of line is,
⇒ m = - 1
We have to given that,
Two points on the line are (- 4, 5) and (- 7, 8).
Now, We know that,
Slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is,
m = (y₂ - y₁) / (x₂ - x₁)
Here, Two points on the line are (- 4, 5) and (- 7, 8).
Hence, Slope is,
m = (8 - 5) / (- 7 + 4)
m = 3 / - 3
m = - 1
Therefore, The value of slope of line is,
⇒ m = - 1
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The difference between compound and simple interest on a certain sum of money for
2 years at 8% per annum is Rs. 40. Find the sum.
The sum of money is approximately Rs. 6250.
To find the sum of moneyGiven that the difference is Rs. 40, we must calculate the difference between compound interest and simple interest over a period of two years at an annual rate of 8%.
Assume that P represents the principal amount of money.
The formula for simple interest is: SI = (P * R * T) / 100
The formula for compound interest is: [tex]CI = P * (1 + R/100)^T^ - ^P[/tex]
Where
SI = Simple InterestCI = Compound InterestR = Rate of interest per annumT = Time in yearsThe difference between compound interest and simple interest is Rs. 40. Therefore:
CI - SI = Rs. 40
Substituting the formulas and values into the equation:
[tex](P * (1 + 8/100)^2 - P) - (P * 8 * 2 / 100) = 40[/tex]
Simplifying further:
[tex](P * (1.08^2) - P) - (0.16P) = 40[/tex]
[tex](P * 1.1664 - P) - 0.16P = 40[/tex]
[tex]1.1664P - P - 0.16P = 40[/tex]
[tex]0.0064P = 40[/tex]
[tex]P = 40 / 0.0064[/tex]
[tex]P[/tex] ≈ [tex]6250[/tex]
Therefore, the sum of money is approximately Rs. 6250.
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A cable TV provider charges Nina $99 per month for three services-Internet, land-line phone,
and cable television. In addition, Nina's monthly bill for cell phone calls and text messages
averages $59.70 per month. What is her average cost per day for these four services? Round to
the nearest dollar.
Nina's average cost per day for these four services is $5.
Since, Nina's monthly cost for the cable TV services is $99, and her monthly cost for cell phone calls and text messages is $59.70.
So her total monthly cost is:
$99 + $59.70 = $158.70
Now we need to find the number of days in a month.
Since, There are different ways to do this, but if we assume a month has 30 days,
= $158.70 / 30
= $5.29 (rounded to the nearest cent)
Therefore, Nina's average cost per day for these four services is $5.29. Rounded to the nearest dollar, her average cost per day is $5.
So, Nina's average cost per day for these four services is $5.
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A Father is three times as old as his son. Five years later he will be only 2 ½ times older than his son: Find their present age
Answer: the present age of son is 15 years, and the present age of father is 45 years.
Step-by-step explanation:
Let the age of son be 'x' and that of his father be 'y'.
So according to the question, the 1st equation that can be formed will be:
y = 3(x) ->(1)
[as father's age is 3 times the age of son]
Now after 5 years:
Age of son = (x+5)
Age of father = (y+5)
So according to the question, the 2nd equation that can be formed will be:
(y+5) = 2.5×(x+5) ->(2)
[as father is now two and half times old as his son]
Substituting the value of equation (1) in (2), we get:
(3x+5) = 2.5×(x+5)
=> 3x + 5 = 2.5x + 12.5
=> 3x - 2.5x = 12.5 - 5
=> 0.5x = 7.5
=> x = 7.5/0.5 = 15
Thus, the present age of son is 15 years.
Note : we can calculate the age of father by putting the value of x in equation (1) or (2):
y = 3(x) = 3 × 15 = 45 (putting x in equation 1)
Thus, the present age of father is 45 years.
The diagram shows a circle inside a square.
Work out the area of the circle.
16 cm
Optional working
The area of the escribed circle is: 201.06 cm²
What is the area of the circle?The formula for the area of a circle is:
A = πr²
where:
A is area
r is radius
From the given diagram, we see that, the side length of the square is 16 cm. Now, we also see that the side length of the square serves as the diameter of the circle and as such:
Radius of circle: r = 16/2 = 8 cm
Thus:
A = π(8²)
A = 201.06 cm²
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Please answer this question.
Answer:
Step-by-step explanation:
[tex]1c-0.25c=0.75c[/tex]
Factor x2 − x − 12. (x + 3)(x − 4) (x − 3)(x + 4) (x + 2)(x − 6) (x − 2)(x + 6)
Answer: (x+3)(x-4)
Step-by-step explanation:
Brian is decorating a rectangular bulletin board. He wants to add trim along both diagonals. If MN = 4x - 0.1 meters and NK = 2x + 0.4 meters, then how many meters of trim will Brian need?
The measure of the diagonal of given rectangular bulletin board is 6x+0.3 meters.
Given that, MN=4x-0.1 meters and NK=2x+0.4 meters.
Here, diagonal = MK=MN+NK
= 4x-0.1+2x+0.4
= 6x+0.3
Therefore, the measure of the diagonal of given rectangular bulletin board is 6x+0.3 meters.
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Of the last 20 trains to pull into Lakeside
Station, 14 were full. What is the
experimental probability that the next
train to pull in will be full?
Write your answer as a fraction or whole
number.
P(full) =
The experimental probability that the next train to pull into Lakeside Station will be full is 7/10.
The experimental probability of the next train to pull into Lakeside Station being full can be calculated by dividing the number of times a full train occurred by the total number of trains observed.
Given that out of the last 20 trains, 14 were full, we can express the experimental probability as a fraction:
P(full) = Number of full trains / Total number of trains observed
P(full) = 14 / 20
Simplifying the fraction, we get:
P(full) = 7 / 10
Therefore, the experimental probability that the next train to pull into Lakeside Station will be full is 7/10.
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Choose the words to finish the explanation of how to plan a coordinate proof to show that all isosceles right triangles are similar.
The words that has to be kept in the blank space to prove the similarity are (a, 0), (0, a) and scale factor.
Here we have to choose the words to finish the explanation of how to plan a coordinate proof to show that all isosceles right triangles are similar.
Isosceles right triangles are the right triangles which has the two legs of same length.
For that first consider an isosceles right triangle with legs having length "a".
Then if we place the triangle with one of the vertices at origin, then since the length of the legs is "a", the other vertices will be at (a, 0) and (0, a).
If we place another triangle similarly with length of legs "b", then we have to prove that they are similar.
For them to be similar, there must exist a scale factor that maps one triangle on to the other.
Hence the spaces are (a, 0), (0, a) and scale factor.
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In the figure below, . Find .
Answer:
x = 93
Step-by-step explanation:
the adjacent angle to x ( on the right side) and 48° are alternate angles and are congruent.
the 3 angles lying on line m sum to 180° , that is
39 + x + 48 = 180
x + 87 = 180 ( subtract 87 from both sides )
x = 93
Can you help me solve for x
Applying Pythagoras theorem and trigonometry In the figure the length of x is
18.03 cmHow to determine the side xUsing Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let y be the required distance
y² = 10² + 15²
y² = 325
y = √18.03
y = 5√13
y = 18.03
To solve for x we use trigonometry tan
tan 45 = 5√3 / x
x = 5√13 / tan 45
x = 5√13
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22. Find the length of PN if GH = 8 and KP = 4.
Give exact answer.
The length of PN in the circle is 4√2 units.
How to find the radius of a circle?The length of GN in the circle is 8 units and length of KP in the circle is 4.
Therefore, let's find the length PN in the circle as follows:
PM is perpendicular to the chord GH. Therefore, the length KH is equals to the length GK.
Hence,
GH = 8 units
GK = 4 units
KH = 4 units
Therefore,
MP is the radius of the circle just like PN.
PN = MP
Hence, using Pythagoras's theorem,
4² + 4² = PN²
PN = √16 + 16
PN = √32
PN = 4√2 units
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100 Points! Algebra question. Photo attached. Find the length of the arcs below. Round to the nearest tenth. Please show as much work as possible. Thank you!
The length of the arcs are;
1. s = 6. 4π
2. s = 11. 0π
How to determine the valuesThe formula for calculating the length of an arc is expressed as;
s = rθ
Such that;
s is the length of the arcr is the radius of the circleθ is the central angle in radiansFrom the information given, we have that;
s = 4.25 × 3π/2
Multiply the values, we get
s = 12.75π/2
Divide by the coefficient , we get;
s = 6. 4π
2. The length of the arc would be;
s = 6.62 × 5π/3
Multiply the values, we have;
s = 33. 1π/3
Divide by the value, we get;
s = 11. 0π
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please help! thank uu ~ :)
Answer:
certain
Step-by-step explanation:
The question says "strawberry OR cherry chew", which means if you have only 17 strawberry and 3 cherry chews, the answer is certain, as you will always pull out one of those options.
What is the sum of (-2.1x +3.7) and (5 + 4.9x)?
O-7.0x+8.7
-2.8x+8.7
O 2.8x+8.7
O 7.0x+8.7
I will gave brainliest to anyone who answers.
Answer:
To find the sum of (-2.1x + 3.7) and (5 + 4.9x), we need to add the like terms (terms with the same variable and exponent). In this case, the x term is the like term. Therefore:
(-2.1x + 3.7) + (5 + 4.9x) = -2.1x + 4.9x + 3.7 + 5
Combining like terms, we get:
(-2.1x + 4.9x) + (3.7 + 5) = 2.8x + 8.7
Therefore, the sum of (-2.1x + 3.7) and (5 + 4.9x) is 2.8x + 8.7.
So, the answer is: 2.8x+8.7.
Step-by-step explanation:
Solution 2:
The correct answer is 2.8x+8.7.
Here's the solution:
(-2.1x +3.7) + (5 + 4.9x) =
-2.1x + 3.7 + 5 + 4.9x =
-2.1x + 4.9x + 3.7 + 5 =
2.8x + 8.7: answer