Answer:
0.75
Step-by-step explanation:
there ya go hope it helps
the expected value is equal in mathematical computation to the ____________
The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.
The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.
For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:
1 * 1/6 = 1/62 * 1/6 = 2/63 * 1/6 = 3/64 * 1/6 = 4/65 * 1/6 = 5/66 * 1/6 = 6/6Summing up these values gives us:
1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5
Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.
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allen and ben are painting a fence. the ratio of the amount of work allen does to the amount of work ben does is $3:5$. if the fence requires a total of $240$ square feet to be painted, how many square feet does ben paint?
The fence Ben paints is 150 square feet.
Given:
ratio of the amount of work allen does to the amount of work ben does is 3:5
allen : ben = 3:5
total work done in ratio = 3 + 5 = 8
Count the fence Ben paints
Since , fence requires a total of 240 square feet to be painted
Thus, ben = ratio of ben/ total ratio × total of works
ben = 5/8 × 240
ben = 1,200/8
ben = 150
Hence , The fence Ben paints is 150 square feet .
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the angle of elevation from a marker on level ground to the top of a building 100 m high is 22 degrees
The angle of elevation is the angle an observer forms when looking at an object above the horizontal plane. Therefore, the distance from the marker to the building is 247.5 m.
The angle of elevation is the angle an observer forms when looking at an object above the horizontal plane. It is always measured in reference to the horizontal plane.
The given question forms a right-angled triangle, thus the trigonometric function should be applied. Let the distance from the marker to the building be represented by d, so that;
Tan θ = \(\frac{opposite}{adjacent}\)
Tan 22 = \(\frac{100}{d}\)
So that,
d = \(\frac{100}{Tan 22}\)
= \(\frac{100}{0.4040}\)
d = 247.52
Therefore, the distance from the marker to the building is 247.5 m.
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What are the factors of the quadratic expression 49x2 + 56x + 16?
Given the following expression:
\(49x^2+56x+16\)You can follow the steps shown below in order to factor it:
1. Identify if the leading coefficient is 1. In this case, you can see that this is:
\(a=49\)So it is not 1.
2. Identify if you have a Greatest Common Factor that can be factor out. In this case you don't have it.
3. Notice that the expression has this form:
\(ax^2+bx+c\)Rewrite the expression as following:
\(=(7x)^2+28x+28x+(4)^2\)4. Simplify it by factoring out the common factors:
\(7x(7x+4)+4(7x+4)\)5. Rewriting it in factor form, you get:
\((7x+4)(7x+4)=(7x+4)^2\)The answer is: Third option.
Use the figure below to complete the following problem Given : R,S,T are midpoints of AC, AB, and CB.
Answer:
RT || AB
Step-by-step explanation:
The answer to your question is that segment RT is parallel to AB.
And for those of you who encounter AB || ?
The answer is RT.
Both questions are rewrites.
RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
R, S, and T are midpoints of AC, AB, and CB.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
A line is parallel to the right side if it divides any two triangles sides in a similar ratio.
RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.
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Evaluate the following expression will give branliest
256 to the power of 5/8
Answer:
32
Step-by-step explanation:
The formula needed to solve this question by hand is:
\(x^{\frac{m}{n}} =\sqrt[n]{x^{m}}\)
256^(5/8) = 8th root of 256^5
256^(5/8) = 8th root of 1280
256^(5/8) = 32
Allie worked for 1/2 hour on Saturday and 2/3 hour on Sunday.What are four common denominators for the fractions?Explain your reasoning.
The four common denominators are 6,12, 18 and 24.
What are fractions?A fraction is a non-integer. It is made up of numerators and denominators. An example of a fraction is 2/3. 2 is the numerator and 3 is the denominator.
What are four common denominators for the fractions?
The common denominators for the fractions are numbers that would divide both 2 and 3. This numbers can be determined by multiplying 2 and 3 and finding the multiple of the product.
2 x 3 = 6
Multiples of 6 = 6, 12, 18, 24
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Find the limit, if it exists. (If an answer does not exist, enter DNE.)
lim x→[infinity] (SQRT(25x2 + x) -5x)
The limit of (√(25x² + x) - 5x) as x approaches infinity is 0.
In mathematics, limits are used to describe the behavior of a function as its input approaches a certain value or as it approaches infinity or negative infinity. The limit of a function f(x) as x approaches a specific value, say c, represents the value that f(x) approaches as x gets arbitrarily close to c.
Limits allow us to analyze the behavior of functions near specific points, and they are essential in calculus for topics like differentiation and integration. They help us understand the continuity of functions, the existence of asymptotes, and the determination of function behavior at critical points.
Limits can be evaluated in various ways, including algebraic simplification, factoring, applying limit laws, using L'Hôpital's rule, or employing special limit formulas. However, in some cases, the limit may not exist, meaning that the function does not approach a specific value or approaches different values depending on the direction of approach. In such cases, the limit is said to be "DNE" (does not exist).
To find the limit of the expression lim x→∞ (√(25x^2 + x) - 5x), we can simplify the expression and determine its behavior as x approaches infinity.
Let's simplify the expression step by step:
lim x→∞ (√(25x² + x) - 5x)
As x approaches infinity, the x term becomes negligible compared to the x² term within the square root. Therefore, we can ignore the x term within the square root:
lim x→∞ (√(25x² + x) - 5x) ≈ lim x→∞ (√(25x²) - 5x)
Simplifying further:
lim x→∞ (5x - 5x) = lim x→∞ 0
The limit is equal to 0.
Therefore, the limit of (√(25x² + x) - 5x) as x approaches infinity is 0.
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If h(x) = 2x and g(x) = 3x2 + 1, what is h(g(x))?
Answer:
h(g(x))=h(3x^2+1)=2(3x^2+1)=6x^2+2
please help quick I will give brainliest :(
Answer:
r=4 d=8 a = 16π c = 8π
d=6 r=3 a=9π c=6π
a=36π r=6 d=12 c=12π
c=18π r=9 d=18 a=81π
Step-by-step explanation:
hope this helps (:
a chronology of revolutionary events from the mid-eighteenth through the mid-nineteenth century, and the response from absolute monarchs slidshow
The chronology of revolutionary events from the mid-eighteenth through the mid-nineteenth century is as follows ,
Ancien Régime (pre–1789)National Constituent Assembly (1789–1791)Constitutional Monarchy (1791–1792)National Legislative Assembly (1791–1792)First Republic (1792–1804)National Convention (1792–1795)Directory (1795–1799)Consulate (1799–1804)First Empire, the reign of Napoleon (1804–1814)The response from absolute monarchs
Regressive tax laws in France made longtime allies in the noble and bourgeois classes feel excluded.
From Louis XIII in 1614 onward, the centralized monarchical power, or "royal absolutism," inward to the royal court in Versailles, caused a snowball effect that ultimately alienated both nobility and bourgeoisie. The tax system had a propensity to benefit certain groups, especially the nobility, who were excused from paying taxes. Due to their perceived prejudice, the bourgeoisie became the Revolution's primary force.
It was also a numerical issue. When compared to the rest of France, the population of nobles is drastically different: they make up between.4 and 1.5% of the country's approximately 28 million people.
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help me slove this problem thank you
Answer:
\( \boxed{ \bold{ \boxed{ \sf{22 \: units}}}}\)Step-by-step explanation:
Let the points be A and B
A ( -8 , - 18 )⇒( x₁ , y₁ )
B ( 14 , -18 )⇒( x₂ , y₂)
Finding the distance between these two points
\( \sf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }\)
Plug the values
⇒\( \sf{ \sqrt{ {(14 - ( - 8)}^{2} + {( - 18 - ( - 18))}^{2} } }\)
We know that,\( \sf{( - ) \times ( - ) = ( + )}\)
⇒\( \sf{ \sqrt{ {(14 + 8)}^{2} + {( - 18 + 18)}^{2} } }\)
Calculate
⇒\( \sf{ \sqrt{ {22}^{2} + {0}^{2} } }\)
Evaluate the power
⇒\( \sf{ \sqrt{484} }\)
⇒\( \sf{{22} }\) units
Hope I helped !
Best regards!!
Having. Problems understanding this question. I know it has something to do with the rectangle box with the line above the number line but I don't know how to start to get the answer.Xx
Solution:
Given the data below:
when arranged in ascending order, we have
\(60,63,63,65,65,66,66,66,66,68,68,70\)For the first six data:
\(Q_1=median=64\)For the second six data:
\(Q_3=median=67\)For the entire data,
\(Q_2=median=66\)Since the smallest and largest data value are 60 and 70 respectively, we can conclude that the box plot that correctly represents the data is
The correct option is
A parachutist's speed during a free fall reaches 126 miles per hour. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 5 seconds of free fall? In your computations, use the fact that 1 mile is equal to 5820 feet. Do not round your answers.
The speed is 5820 feet per 3600 seconds.
The feet that the parachutist fall during 5 seconds of free fall is 8.083feet.
What is Speed?Speed is the distance covered at a particular time taken. And the formula is Distance/Time taken. And the question above is measured In Feet per second which is the number of distances covered in feet per second.
The speed during free fall 126 miles per hour
And 1 mile= 5820 feet as given above and
60 secs makes 1 minute
60 minutes makes 1 hour.
So 1 hour to seconds will be 60×60 which is equal to 3600 second. The speed is 5820 feet per 3600 seconds
So to calculate the fall during 5 seconds of free fall, when 5820 feet
=3600 seconds
5 seconds will be:
= 5820×5/3600
= 8.083feet
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In a mixed school, the number of girls is 375. if the boys to girls is 4:5.how many boys are in the school
Answer:
300
Step-by-step explanation:
375 divided by 5=75
Each “1”=75
4x75=300
There are 300 boys.
Hope this makes sense
Answer:
300 boys
Step-by-step explanation:
Let the number of boys = x
Girls: 375
boys : girls = 4 : 5
total in the ratio is 9
girls are 5/9 of total, and are 375
boys are 4/9 of total
5/9 x = 375
x = 375 × 9/5
x = 675
Boys are 4/9 of total.
4/9 × 675 = 300
PLEASE HELP GONNA FAIL WILL GIVE BRAINLESS
Answer: P = 166 units
Step-by-step explanation: Each point on the triangle has lines that are tangent to the circle in the triangle, meaning that those lines form a 90° angle to the middle point in the circle. There is also a rule that states if there are tangent lines coming from the points and if the points have at least one given side length, the other side will have the same side length. So if one side on point D is 41, then the other side connected to the point is 41. I added up all of the side lengths; 41 + 41 + 30 + 30 + 12 +12 = 166 units.
I hope this helps!
Franco bought 7 juice boxes that each cost the same amount. He spent $4.90 in all. How much did each juice box cost?
Answer:
0,7 or 70 cent
Step-by-step explanation:
4.9 ÷ 7
=0,7
Your car gets 25 mi/gal around town and 30 mi/gal on the highway.
a. If 50 % of the miles you drive are on the highway and 50 % are around town, what is your overall average miles per gallon?
If 50% of the miles you drive are on the highway and 50% are around town, your overall average miles per gallon would be 27.5.
Your overall average miles per gallon can be calculated by taking into account the percentage of miles driven on the highway and around town, as well as their corresponding fuel efficiencies.
Given that 50% of the miles you drive are on the highway and the remaining 50% are around town, we can calculate the overall average miles per gallon using a weighted average formula.
Let's denote the average miles per gallon on the highway as "H" and the average miles per gallon around town as "T." In this case, H = 30 mi/gal and T = 25 mi/gal.
To calculate the overall average miles per gallon, we can use the following formula:
Overall average miles per gallon = (percentage of highway miles * H) + (percentage of town miles * T)
Since 50% of the miles are on the highway and 50% are around town, we can substitute these values into the formula:
Overall average miles per gallon = (0.5 * H) + (0.5 * T)
Plugging in the values for H and T:
Overall average miles per gallon = (0.5 * 30) + (0.5 * 25)
Simplifying the expression:
Overall average miles per gallon = 15 + 12.5
Overall average miles per gallon = 27.5
Therefore, your overall average miles per gallon is 27.5.
In summary, if 50% of the miles you drive are on the highway and 50% are around town, your overall average miles per gallon would be 27.5.
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6 1/9x + 3 1/3x = 28 1/3 what is x
X=3
Step-by-step explanation:
\(6 \frac{1}{9}x + 3 \frac{1}{3}x = 28\frac{1}{3} \)
\(6 \frac{1}{9}x + 3 \frac{3}{9}x = 28\frac{1}{3} \\ \\ 9 \frac{4}{9}x = 28\frac{1}{3} \)
x=3
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give an example of a sequence of real numbers satisfying each set of properties. (a) cauchy, but not monotone (b) monotone, but not cauchy (c) bounded, but not cauchy
(a) {(-1)^n/n}, where n is a natural number. The terms alternate in sign but their absolute values converge to 0, making the sequence Cauchy, but not monotone.
(b) {2n}, where n is a natural number. The terms are always increasing but the difference between consecutive terms remains constant (2), so it's not a Cauchy sequence.
(c) {(-1)^n}, where n is a natural number. The terms alternate between -1 and 1, making the sequence bounded, but the difference between consecutive terms is 2, so it's not a Cauchy sequence.
(a) An example of a sequence of real numbers that is Cauchy but not monotone is:
1, 1/2, 2/3, 1/4, 3/5, 1/6, 4/7, 2/8, 5/9, 3/10, 6/11, 4/12, ...
This sequence is Cauchy because, for any two positive integers m and n, the terms a_m and a_n eventually get arbitrarily close to each other as m and n get larger. However, the sequence is not monotone because it oscillates between increasing and decreasing terms.
(b) An example of a sequence of real numbers that is monotone but not Cauchy is:
1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, ...
This sequence is monotone decreasing because each term is smaller than the previous one. However, it is not Cauchy because the difference between any two terms eventually becomes arbitrarily large as the terms get further down the sequence.
(c) An example of a sequence of real numbers that is bounded but not Cauchy is:
1, 1/2, 2/3, 1/4, 4/5, 1/6, 6/7, 1/8, 8/9, 1/10, 10/11, 1/12, ...
This sequence is bounded because all of its terms are between 0 and 1. However, it is not Cauchy because the terms oscillate between small and large values and do not eventually get arbitrarily close to each other.
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The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?
Cheddar Corn Caramel Corn
10 15
20 30
30 45
Answer:
The constant of proportionality is 15/10 = 1.5.
The answer is 1.5.
The reason is because
10 x 1.5 = 15,
20 x 1.5 = 30,
30 x 1.5 = 45.
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Will give brainliest to the correct answer
Write each function in slope-intercept form
:9.4y=−8x−10
10. −5x+ 2y=−10
Step-by-step explanation:
9) y= -2x - (5/2)
10) y = -5 + (5/2)
what is equivalent to
Answer : The expression which is equivalent to \(\sqrt[4]{9}^{\frac{1}{2}x}\) is \(9^{(\frac{1}{8}x)}\).
Step-by-step explanation :
The given expression is:
\(\sqrt[4]{9}^{\frac{1}{2}x}\)
As we know that:
\(\sqrt[4]{x} =x^{\frac{1}{4}}\)
So, by solving the above expression, we get:
\(\Rightarrow 9^{(\frac{1}{4}\times \frac{1}{2}x)}\)
By multiplying the power of 9, we get the following expression.
\(\Rightarrow 9^{(\frac{1}{8}x)}\)
Hence, the expression which is equivalent to \(\sqrt[4]{9}^{\frac{1}{2}x}\) is \(9^{(\frac{1}{8}x)}\).
One-sixth of a certain number and three-eights of the same number total 13. What is the number?
Answer:
The number is 24
Step-by-step explanation:
1/6x + 3/8x = 13
4/24x + 9/24x =13
13/24x = 13
13x=312
x=24
7. Mrs. Bauer and her family went to dinner. Their dinner bill was $56.50 before tax and tip. An 8% sales tax needs to be applied and then they decided to leave a 15% tip. What is their total bill after the tax and then tip is applied?
Answer:
it will be 56
Step-by-step explanation:
maney because I am 9nyears old
Answer:
it will be 56
Step-by-step explanation:
can someone pls help me with this?
thanks!
Using proportions, it is found that the measure of the inscribed angle B is of 30º.
We have,
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In a circle, the inscribed angle is half the measure of the outside angle. Hence, in this problem, the measure of angle B is of 50% of 60º, hence:
m<B = 0.5 x 60º = 30º.
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complete question:
attached:
Write an equation perpendicular to y =− 3x + 2 and passes through the point (0, 8).
Answer:
y = \(\frac{1}{3}\) x + 8
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 2 ← is in slope- intercept form
with slope m = - 3
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-3}\) = \(\frac{1}{3}\)
the line crosses the y- axis at (0, 8 ) ⇒ c = 8
y = \(\frac{1}{3}\) x + 8 ← equation of perpendicular line
which factor would most likely distort the relationship between the independent and dependent variables, producing biased results?
Presence of an extraneous variable would most likely distort the relationship between the independent and dependent variables, producing biased results.
The presence of an extraneous variable is the most likely factor to distort the relationship between independent and dependent variables, resulting in biased results. An extraneous variable is an unintended variable that can have an effect on the outcome of an experiment. This can create a spurious relationship between the independent and dependent variables, leading to incorrect conclusions. To avoid this, it's important to control or eliminate extraneous variables in the experiment. Proper use of random assignment, manipulation of independent variables and use of between-group design can help minimize the impact of extraneous variables in the study.
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Complete question:
Which factor would most likely distort the relationship between the independent and dependent variables, producing biased results.
-Use of random assignment
-Manipulation of the independent variables
-Use of between-group design
-Presence of an extraneous variable
The trapezoid below has an area of 1,575 cm2.
pg616510
Which equation could you solve to find the height of the trapezoid?
A
850.5h = 1,575
B
1,701h = 1,575
C
45h = 1,575
D
90h = 1,575
The equation to solve the height of the trapezoid is 45h = 1,575
Given data ,
Let the area of the trapezoid be A
Now , the value of A = 1,575 cm²
And , the Top(base2) = 63cm and Bottom(base1) = 27 cm
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
On simplifying , we get
1,575 = (63 + 27) / 2 x h
1575 = 45h
Hence , the equation is 1575 = 45h
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The complete question is attached below :
The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?
A 850.5h = 1,575
B 1,701h = 1,575
C 90h = 1,575
D 45h = 1,575
Top(base2) = 63 cm
Bottom(base1) = 27 cm
Can someone plz help