SOLUTION:
There are 2 errors here.
1.The height used in finding the volume is the perpendicular height, not the slant height
2. The multiplication was wrong.
CORRECT SOLUTION
\(V=\frac{1}{2}Bh\)\(B=20\times20=400ft^2\)Using pythagoras theorem, we find h to be;
\(\begin{gathered} h=\sqrt{26^2-10^2} \\ h=24cm \end{gathered}\)\(V=\frac{1}{3}\times400\times24=3200ft^3\)A one-way trolley ticket to Old Town costs 3.50. How much will it cost for Ahyeon and three friends to ride to Old Town and home again?
Answer:
$28
Step-by-step explanation:
Each round trip will be double the price of a one-way trip, so will be ...
2 × $3.50 = $7.00
Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...
4 × $7.00 = $28.00
1. Mary got the following scores: 83, 88, 78, 80, and 90 in her examination in English. What is the mean score of Mary?
A. 83.08
B. 83.8
C. 88.38
D. 88.83
2. A list of 5 pulse rates: 70, 64, 80, 74, and 92. Which of the following is the median for this list? *
A. 80
B. 77
C. 76
D. 74
3. After checking the summative test of her 50 students, Teacher Rose found out that most of her students got 38 correct answers out of 50-item test. Which measure of central tendency do 38 represent?
A. frequency
B. median
C. mode
D. range
4. Mary found out that the difference between her highest score and lowest score in the first periodic test is 27. What measure of variability did she use?
A. range
B. mean
C. class size
D. class interval
5. What is the average deviation of the scores 5, 4, 3, 6, and 2?
A. 3.5
B. 3
C. 2.5
D. 1.2
6. If the range of the grouped data is 30 and the lower class boundary is 64.5, which of the following is the upper class boundary of the distribution?
A. 84.5
B. 85.5
C. 90.5
D. 94.5
If you have the variance, how do you get the standard deviation?
A. Square it
B. Take the square root
C. Take the reciprocal
D. Divide it by the sample size
7. If the standard deviation is 14.3, which of the following is the variance?
A. 204.49
B. 104.5
C. 28.6
D. 24.94
please answer this guys, i really need your help.
Answer:
1=83.08
Step-by-step explanation:
mean=summation of number divided by number
► 00:00
Jeremy read 243 pages on Saturday. He read 53 fewer pages on Sunday
How many pages did he read in all?
Select the bar diagrams you can use to help you solve the problem. Choose all that apply
А
B
243
?
?
53
243
?
Ос
D
?
?
243
53
253
?
О Е
253
?
43
Answer: c
Step-by-step explanation:
Fill in the blanks with the digits 0, 1, 2, and 3 to make four different number sentences for each part. Use each digit once in each number sentence.
A.
> 2.099
> 2.099
> 2.099
> 2.099
B.
<2.099
< 2.099
<2.099
<2.099
Given data,
digits are 0, 1, 2, 3
Test simple operation,
Take 2.103 value,
Then,
2.103 > 2.099Take 2.130 value,
Then,
2.130 > 2.099Take 2.301 value,
Then,
2.301 > 2.099Take 2.310 value,
Then,
2.310 > 2.099Take 2.013 value,
Then,
2.013 <2.099Take 2.031 value,
Then,
2.031 <2.099Take 1.230 value,
Then,
1.230 <2.099Take 1.320 value,
Then,
1.320 <2.099Therefore,
See the parsing
2.103 > 2.0992.130 > 2.0992.301 > 2.0992.310 > 2.0992.013 <2.0992.031 <2.0991.230 <2.0991.320 <2.099Learn more about event correlation here: brainly.com/question/15687135
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During a single day at the radio station WMZH, the probability that a particular song is played is 1/6. What is the probability that this song will be played on exactly 6 days out of 7 days? Round your answer to the nearest thousandth.
Around 0.000125 or 0.0125% of the time, the song will be played exactly six out of seven days.
Every day represents a trial in this binomial probability issue, and there are only two potential results:
either the music is played (a success), or it is not (failure). We're looking for the likelihood that exactly 6 out of 7 trials will be successful.
The likelihood of success (performing the song) is 1/6, while the likelihood of failure (not playing the song) is 1 - 1/6 = 5/6, on any given day.
We can use the binomial probability formula to find the probability of exactly 6 successes in 7 trials:
P(6 successes) = (7 choose 6) * (1/6)⁶ * (5/6)¹
where (7 choose 6) is the number of ways to choose 6 days out of 7 to play the song, and is calculated as:
(7 choose 6) = 7! / (6! * 1!) = 7
Plugging in the values, we get:
P(6 successes) = 7 * (1/6)⁶ * (5/6)¹
P(6 successes) ≈0.00012502
Therefore, the probability that the song will be played on exactly 6 days out of 7 is approximately 0.000125 or 0.0125%.
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)The mean voltage of a battery is 15 and S.D 0.2.Find the probability that four such batteries connected in series will have combined voltage of 60.8 or more volts
The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.
In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.
The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.
The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.
Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.
First, we need to standardize the value of 60.8 using the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
In this case, the standardized value is:
Z = (60.8 - 60) / sqrt(0.16)
Z = 0.8 / 0.4
Z = 2
Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.
Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
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Find the perimeter of the polygon. Assume that lines which appear to be tangent are tangent.
Answer:
Step-by-step explanation:
if the lines are tangent, than we will have
one side = 4.4+9=13.4
the side with 8.7
8.7+9=17.7
the other side has the side as following
8.7+4.4=13.10
P=13.4+17.7+13.10=44.20 last choice
how do you know that 2 to the power of 3 x 3 is not a common multiple
Answer:
512
Step-by-step explanation:
A common multiple is defined as a whole number, a shared multiple of each set of numbers. The multiples common to two or more numbers are called the common multiples of those numbers.
OML I just gave u the answer do I need to put this in simple terms for you since u don't understand - 2 to the power of 3 x 3 is 512 and that is not a whole number a common multiple is defined as a whole number and for 512 to be an integer it has to be a whole number. UNDERSTAND NOW???
The double number line shows that the distance from the start of a hiking trail to a cave
entrance is 700 m.
Answer:
100, 25, 50
Step-by-step explanation:
\(700: \frac{700}{700} \times 100=100 \\ \\ 175: \frac{175}{700} \times 100=25 \\ \\ 350: \frac{350}{700} \times 100=50\)
Please help me I’ll natal brainest I need help .
Answer:
B
Step-by-step explanation:
Next time, please show us the question! Luckily I know that the question is asking "which of these is a function" but not a lot of people can assume that. The answer is B because a function can't have repeating x values or more than 1 x value that's the same. None of the x values in B repeat so it's a function! Also, remember that y values CAN repeat, so if the y values repeat, it doesn't mean it isn't a function.
Segment AB has endpoints at A(-14, 12) and B(10, – 4). Point C lies on AB at C(-5,6). Which of the following
represents the ratio of AC to BC?
The ratio of the length AC to BC is 11:18
Distance between two pointsThe formula for calculating the distance between two points is expressed as:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
For the length AC
\(AC = \sqrt{(-9)^2+(6)^2} \\AC = \sqrt{(-14+5)^2+(12-6)^2} \\AC = \sqrt{81+36} \\AC\approx 11\)
For the length of BC
\(BC = \sqrt{(15)^2+(10)^2} \\BC = \sqrt{225+100} \\BC\approx 18\)
Hence the ratio of the length AC to BC is 11:18
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which is greater 1.59 or 1.6
Answer:
1.6 is greater than 1.59
Step-by-step explanation:
It goes. 1.5 -> 1.51 -> 1.52.... -> 1.58 -> 1.59 -> 1.6 -> 1.61...
2. Given that V = {2, 4, 6, 8} and Q = {4, 6}. Find Q1 the complement of Q a.4,6} b. {2,4,6,8} c.{2,8} d.{2,6,8}
The complement of set Q will be Q' = {2, 8}.
what exactly is a set?
In mathematics, a set is a well-defined collection of distinct objects, called elements or members, that can be anything. These objects can be numbers, letters, people, animals, or any other things that can be described in a clear and unambiguous way. Sets are usually denoted by listing their elements within curly braces, for example:
A = {1, 2, 3, 4, 5} is a set of the first five positive integers.
Now,
The complement of a set Q, denoted Q', is the set of all elements in the universal set that are not in Q. In this case, the universal set is V = {2, 4, 6, 8}.
To find the complement of Q = {4, 6}, we need to find all the elements in V that are not in Q. These elements are 2 and 8.
Therefore,
Q' = {2, 8}.
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Determine the scale factor from triangle BAC to triangle GHF
The scale factor from triangle BAC to triangle GHF is 3/4.
We have,
The two triangles are:
ΔBAC and ΔGHF
Now,
The scale factor can be used as:
Taking the corresponding sides.
BA x M = GH
36 x M = 27
M = 27/36
M = 3/4
We can also see that,
EC x 3/4 = CF
28 x 3/4 = 21
7 x 3 = 21
21 = 21
Thus,
The scale factor from triangle BAC to triangle GHF is 3/4.
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after being discounted 40%, weather radio sells for $35.97. find the original price (round your answer to the nearest cent)
Answer:
$89.93
Step-by-step explanation:
Set up an equation:
Variable x = original price
40/100 = 35.97/x
Cross multiply
40 × x = 100 × 35.97
40x = 3597
Divide both sides by 40
x = 89.925
Round to the nearest cent:
5 rounds up so:
89.93
Check your work (use the original number instead of the rounded number to be more exact):
89.925 × 40%
Convert the percentage into a decimal to multiply:
89.925 × 0.40
35.97
Correct!
What is the area of this figure?
15 mm
4 mm
Submit
3 mm
3 mm
5 mm
5 mm
7 mm
8 mm
Write your answer using decimals, if necessary.
square millimeters
The mapping diagram shows a functional relationship.
~*See mapping diagram*~
Complete the statement.
F(3) is [ -1 ]
The answer is -1
Answer:
you already know the answer?
Convert the mixed number into an improper fraction: -4 2/5
Answer:
-22/5
Step-by-step explanation:
-4 x 5 + 22. Denominator stays the same.
\(\huge\text{Hey there!}\)
\(\huge\textbf{The formula for converting a mixed}\\\huge\textbf{fraction to improper fraction is:}\)
\(\mathbf{Original\ equation: a \dfrac{b}{c}}\)
\(\mathbf{Convert\ to: \dfrac{a\times c + b}{c}}\)
\(\mathbf{Simplifying\ it: \dfrac{ac + b}{c}}\)
\(\mathbf{Results\ to: \dfrac{acb}{c}}\)
\(\huge\textbf{Now that we have a(n) easier way}\\\huge\textbf{into solving for the given equation.}\)
\(\huge\textbf{Let's begin now!}\)
\(\mathbf{-4 \dfrac{2}{5}}\)
\(\mathbf{= \dfrac{-4\times5 + 2}{5}}\)
\(\mathbf{= \dfrac{-20 + 2}{5}}\)
\(\mathbf{= \dfrac{-20 - 2}{5}}\)
\(\mathbf{= \dfrac{-22}{5}}\)
\(\mathbf{= -\dfrac{22}{5}}\)
\(\huge\textbf{Found the result to the equation}\huge\boxed{\bf\downarrow}\)
\(\huge\text{Thus, your answer should be: \boxed{\mathsf{Option\ C. \ -\dfrac{22}{5}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitritr1040:)}\)I need help solving this math problem, step by step and the answer (72/-2)^2
\(( \frac{ - 72}{2} )^{2} \\ = \frac{ - 72 \times - 72}{2 \times 2} \\ = \frac{5184}{4} = 1296\)
The answer is 1296.the answer of the equation is 1296
NEED HELP ASAP!!
(08.01 MC)
The system of equations shown below is graphed on a coordinate grid:
3y + x = 4
2y − x = 6
Which statement is true about the coordinates of the point that is the solution to the system of equations?
It is (−2, 2) and lies on both lines.
It is (−5, 3) and lies on both lines.
It is (−5, 3) and does not lie on either line.
It is (−2, 2) and does not lie on either line.
Let's solve your system by substitution.
3y+x=4;2y−x=6
Rewrite equations:
x+3y=4;−x+2y=6
Step: Solvex+3y=4for x:
x+3y=4
x+3y+−3y=4+−3y(Add -3y to both sides)
x=−3y+4
Step: Substitute−3y+4forxin−x+2y=6:
−x+2y=6
−(−3y+4)+2y=6
5y−4=6(Simplify both sides of the equation)
5y−4+4=6+4(Add 4 to both sides)
5y=10
5y
5
=
10
5
(Divide both sides by 5)
y=2
Step: Substitute2foryinx=−3y+4:
x=−3y+4
x=(−3)(2)+4
x=−2(Simplify both sides of the equation)
Answer:
x=−2 and y=2
Your line would also lay on both lines so the answer would be the first one: It is (−2, 2) and lies on both lines.
A lighthouse casts a
revolving beam of light as far as the pier. What
is the area that the light covers?
Answer:
First, let's find how far away the pier is.
Using the distance formula, we can see that the pier is \(\sqrt{58}\) units away.
So, the radius is sqrt 58.
Area = pi (r)^2
So, the area is 182.82 square units.
Let me know if this helps!
We have that The area that the light covers is is mathematically given as
\(A=\pi x^2\)
From the Question we are told that
Revolving beam of light as far as the pier
Let distance to pier be x
Generally the revolving beam turns a complete angle of 360
Therefore
Its goes in a circle
The area that the light covers is is mathematically given as
\(A=\pi r^2\)
\(A=\pi x^2\)
In conclusion
The area that the light covers is is mathematically given as
\(A=\pi x^2\)
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what is the probability that a data value and a normal distribution is between a z score -1.32 and a z score of 0.94
Answer:
0.733
Step-by-step explanation:
Using a calculator or table:
P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)
P(-1.32 < Z < 0.94) = 0.8264 − 0.0934
P(-1.32 < Z < 0.94) = 0.733
find the values of x and y that make k ll j and m ll n
Answer:
x = 80
y = 130
Step-by-step explanation:
The 2 angles are supplementary. so, x-30 + x+50 = 180.
We solve and get 2x = 180-20
x = 80
y = x+50, because of parallel rules.
y = 130
Answer:
x = 80
y = 130
Step-by-step explanation:edge 2020
approximatly 31,500 citizens of a country died in automobile accidents in 2015, express this toll in deaths per day. round to the nearest whole number. There are approximatly how many deaths due to automobile accidents
Using simple division we know that 86 people or citizens dies each day in 2015.
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.
Division in mathematics is the process of dividing an amount into equal parts.
For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.
So, we know that:
31,500 people died in 2015.
We also know that 2015 had 365 days.
Then, people died easily day would be:
= 31,500/365
= 86.30
Rounding off: 86 people
Therefore, using simple division we know that 86 people or citizens dies each day in 2015.
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Cindy tried to find the sum of the exterior angles of the hexagon. What was her error?
will mark brainiliest!
Step-by-step explanation:
Simple, she found the sum of the interior angles not exterior angles.
The exterior angles of any polygon add up to 360 degrees.
What Cindy did was found the total interior angle measure of a hexagon which is 720
find the mode of the following data 1,2,1,1,3,2,2,2
Answer:
2
Step-by-step explanation:
the mode is the on that appears the most, most common one
3. [-/2 Points]
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
4x² + 5x-6
x+2
DETAILS
20
lim
X--2
Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x)
LARCALC12 1.3.044.
Need Help? Read It
The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2
To find the limit as x approaches -2, we substitute -2 into the function:
f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
= 4(4) - 10 + 12 + 2
= 16 - 10 + 12 + 2
= 20
Therefore, the limit of the function as x approaches -2 is 20.
To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.
However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.
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Are these rational numbers?
1) -1098.15
2) -2,784.75
Yes, these -1098.15 and -2,784.75 are rational numbers.
Rational number is the one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively
What is a rational numbers?A rational number is the one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. Every integer (e.g., 5 = 5/1) and, for instance, the number 3/7 are rational numbers. Boldface Q, also known as blackboard bold, is typically used to signify the set of all rational numbers, also known as "the rationals," the field of rationals, or the field of rational numbers.
Real numbers are those that are sensible. The rational real numbers are those whose decimal expansion either ends after a finite number of digits (for instance, 3/4=0.75) or eventually starts to repeatedly repeat the same finite sequence of digits (9/44=0.204545454). This assertion is accurate not just in base 10, but also in every other integer base, such as the binary and hexadecimal ones
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A model rocket is launched from ground level. It’s flight path is modeled by the following equation Y= -16t^2+160t where h is the height of the rocket above the ground in feet and t is the time after the launch in seconds. what is the rocket’s maximum height? when did the rocket reach the maximum height?
The rocket's maximum height is 800 feet. It reached its maximum height at 5 seconds after launch.
To solve this problem, we need to find the vertex of the parabola represented by the equation Y= -16t^2+160t. The vertex of a parabola is the point where the parabola changes direction, from increasing to decreasing or vice versa.
The vertex of the parabola is given by the following formula:
(-b/2a, c - b^2/4a)
In this case, the value of b is 160 and the value of a is -16. Plugging these values into the formula, we get the following:
(-160/2(-16), 800 - 160^2/4(-16))
(5, 800)
Therefore, the rocket reached its maximum height at 5 seconds after launch. The maximum height is 800 feet.
How could Brent use a rectangle to model the factors of x2 – 7x + 6?
He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.
He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.
He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12.
The true statement is (c) that He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x^2, –x, –6x, and 6.
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
The expression is given as:
\(x^{2} -7x + 6\)
Expand;
\(x^{2} -6x - x +6\)
Factorize;
x(x-1) - 6 (x- 1)
Factor out x - 6
(x - 6) (x- 1)
This means that the factors of \(x^{2} -7x + 6\) are x - 1 and x - 6
Hence, the true statement is (c) that He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x^2, –x, –6x, and 6.
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Answer: Answer is C
Step-by-step explanation: