Using the Empirical Rule, it is found that there is a 68% probability that a student scored between 66 and 82.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering the mean of 74 and the standard deviation of 8, we have that:
74 - 8 = 66
74 + 8 = 82.
Hence, there is a 68% probability that a student scored between 66 and 82.
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A sum amounts Rs. 720 is divided into two parts in the ratio 3:5. How much will be the amount in second part?) Ans: Rs. 450
ATQ
[tex]\\ \rm\rightarrowtail 3x+5x=720[/tex]
[tex]\\ \rm\rightarrowtail 8x=720[/tex]
[tex]\\ \rm\rightarrowtail x=90[/tex]
Second part:-
5x=5(90)=450
What is the pattern;
1=4
2=4
3=64
4= ?
Answer:
64
Step-by-step explanation:
because the next number is equal to the same
Answer:
256
Step-by-step explanation:
Look closely at the stated list in the question:
1=4
2=16
3=64
Notice that the second number is reached by taking the first number and placing it as an exponent to 4.
4^1=4
4^2=16
4^3=64
So the missing number must be 4^4 which is equal to 256
will give brainliest!!!
Answer:
2 is the answer
i used pemdas/ order of operations
Step-by-step explanation:
Which would be the best trend line for the given data set?
7. Assume this policy has a deductible of $1,000 and a coverage limit of
$15,000. If tirere are personal property losses of $7,000 for a covered
event, which best describes how much both parties pay?*
Answer:
Insured person pays $1,000; insurance company pays $6,000
Step-by-step explanation:
Both parties pay $9000.
What is PEDMAS rule?PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.
Policy has a deductible of $1,000 and a coverage limit of $15,000.
Tirere are personal property losses of $7,000 for a covered event
Based on the given conditions, formulate
= 1000 + 15000 - 7000
= 16000 - 7000
= 9000
Both parties pay $9000.
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Anyone know the answer to all of them added together
Answer:
13x + 14
Step-by-step explanation:
5x + 6 + 3x = 8x + 6.
8x + 6 + x + 1 + x + 1 + 2= 10x + 10
10x + 10 + (2²)(i think) = 10x + 14
10x + 14 + 3x = 13x + 14
final answer
Answer:
[tex]13x+14[/tex]
Step-by-step explanation:
First take all the sides and add:
[tex]5x+6+3x+3x+2+2+2+x+1+x+1[/tex]
Then Combine Like terms:
[tex]5x+3x+3x+x+x+6+2+2+2+1+1[/tex]
There is your answer:
[tex]13x+14[/tex]
(If I misunderstood the handwriting, please tell me, and I will fix my mistakes)
5 and 1/3 divied by 2 and 2/9
Answer:
Step-by-step explanation:
16/3 / 20/9 = 16/3 x 9/20= 12/5 which is 2 2/5e
Find the equation of the line shown.
Answer:
(0,6) to (4,10) it might be the answer..........
The equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.
Here, we have,
To find the equation of the line passing through the points (0, 6) and (4, 10), we can use the slope-intercept form of a linear equation, which is given by:
y = mx + b,
where m is the slope of the line, and b is the y-intercept.
First, let's calculate the slope (m) using the formula:
m = (y₂ - y₁) / (x₂ - x₁),
where (x₁, y₁) = (0, 6) and (x₂, y₂) = (4, 10).
m = (10 - 6) / (4 - 0) = 4 / 4 = 1.
Now that we have the slope (m = 1), we can substitute it into the slope-intercept form along with one of the given points to find the y-intercept (b).
Using the point (0, 6), we have:
6 = 1(0) + b,
b = 6.
Therefore, the y-intercept (b) is 6.
Now we can write the equation of the line using the slope-intercept form:
y = mx + b,
y = 1x + 6,
y = x + 6.
Hence, the equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.
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Miranda's heart beats 3 times every 2 secounds. At that rate, how many times does her heart beat in 1 minute?
Really need help, I’m trying to catch up in my math and get my marks back up before mid term..
Answer:
a) 12x + 22 b) 17[tex]x^{2}[/tex] - x
Step-by-step explanation:
Perimeter is the sum of the each side length.
The first example is a rectangle so the (4x+8) and the (2x+3) are doubled.
(4x+8) x 2 = 8x+16
(2x+3) x 2 = 4x + 6
12x+22
(6[tex]x^{2}[/tex] - 12x) + (2[tex]x^{2}[/tex] + x) + (9[tex]x^{2}[/tex] + 10x)
combine like-terms.
17[tex]x^{2}[/tex] - x
Answer:
12x + 22 for the rectangle, 17x^2 - x for the triangle
Step-by-step explanation:
The perimeter of a square/rectangle is equal to 2*width + 2*length
So for the rectangle, it would be 2*(4x + 8) + 2*(2x + 3)
This can be further simplified as 8x + 16 + 4x + 6
Which can be further simplified as 12x + 22
The perimeter of a triangle is equal to length if side one + length of side two + length of base
That would be (6x^2 - 12x) + (2x^2 + x) + (9x^2 + 10x)
Which becomes 8x^2 - 11x + (9x^2 + 10x)
17x^2 - x
These two pentagons are similar.
If two pentagons are similar, then their sides are proportional. To find PT, we'll need to set up a proportion.
AE / PT = AB / PQ
---There are many ways to set up this proportion, it just depends on what side lengths you have and ensuring that they match up on both shapes.
6 / x = 5 / 12.5
5x = 75
x = 15
Length of PT = 15 cm
Option C
Hope this helps!
A triangle has side lengths of (5h – 4k) centimeters, (10h + 7m) centimeters, and
(5m – 2k) centimeters. which expression represents the perimeter, in centimeters,
of the triangle?
A mathematical expression which best represents the perimeter of this triangle is (15h - 6k + 12m) centimeters.
Given the following data:
Length A = (5h – 4k) centimeters
Length B = (10h + 7m) centimeters
Length C = (5m – 2k) centimeters.
What is a triangle?A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.
How to calculate the perimeter of a triangle.Mathematically, the perimeter of a triangle is given by this formula:
[tex]P=A+B+C[/tex]
Where:
A, B, and C are length of sides.Substituting the given parameters into the formula, we have;
[tex]P=(5h - 4k) +(10h + 7m) +(5m - 2k)\\\\P=5h+10h-4k-2k+7m+5m\\\\P=(15h-6k+12m)\;centimeters[/tex]
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find the simple interest on $6000 invested for 8 years at 4%
Answer:
$1920.00
Step-by-step explanation:
You want to calculate the interest on $6000 at 4% interest per year after 8
year(s).
The formula we'll use for this is the simple interest formula, or:
I= P * r * t
Where:
• P is the principal amount, $6000.00.
• r is the interest rate, 4% per year, or in decimal form, 4/100=0.04.
• t is the time involved, 8.…..year(s) time periods
So, t is 8...year time periods.
To find the simple interest, we multiply 6000 x 0.04 x 8 to get that:
The interest is: $1920.00
2. Victor Larson had fixed costs totaling $2,805.60 last year, not
including depreciation. His variable costs totaled $1,870.40. His
3-year-old automobile cost $24,890.00 new and is now worth
$12,290.00. Larson drove his vehicle 16,700 miles last year. What
was his depreciation? What was his cost per mile?
The depreciation of the car is $12,600.
The cost of the car per mile is $0.28
What is the depreciation of the car?Depreciation is the decline in the value of an asset as a result of wear and tear.
Depreciation = cost of the asset - value of the asset now
$24,890 - $12,290 = $12600
What is the cost per mile?
Cost per mile = total cost / total mile
($2,805.60 + $1,870.40) / 16700 = $0.28
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Sonia earned $2,100 at her uncle's orchard. if she worked for 70 weeks and earned the same amount of money each week, how much did she earn per week?
Answer:
30 dollars a week
Step-by-step explanation:
2100/70 is 30
Kindly solve this question
Answer:
x=-1/7
Step-by-step explanation:
[tex]\frac{3x-1}{3} -\frac{2x}{x-1} =x[/tex]
[tex]\frac{(3x-1)(x-1)}{3x-3} -\frac{2x(3)}{3x-3} =x[/tex]
[tex]\frac{3x^2-4x+1}{3x-3} -\frac{6x}{3x-3} =x[/tex]
[tex]\frac{3x^2-10x+1}{3x-3} =x[/tex]
[tex]\frac{3x^2-10x+1}{3x-3} =\frac{x(3x-3)}{3x-3}[/tex]
[tex]\frac{3x^2-10x+1}{3x-3} =\frac{3x^2-3x}{3x-3}[/tex]
[tex]3x^2-10x+1=3x^2-3x[/tex]
[tex]-10x+1=-3x[/tex]
[tex]-7x=1[/tex]
[tex]x=-1/7[/tex]
Point X is located at 11 on the number line. Point Y is 5 less than point X. Where on the number line is point Y?
Answer:
6
Step-by-step explanation:
If you draw out a number line, and a little tick for each number, X will be on the 11 mark (I'll try to do a little thing here)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
The 11 is where X is
The question says that point Y is 5 LESS than point X, so we want to go down 5 numbers.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16f
(6 is 5 less than 11)
So the point Y will be on the 6
Find the value of X round your number to the nearest tenths
Explain it please
In this case, we must use trigonometry to find the value of x:
[tex]tan(\alpha )=\frac{side-opposite-angle}{side-beside-angle} \\tan(70) = \frac{x}{3} \\3*tan(70) = x\\x = 3*tan(70)\\x = 8.24[/tex]
Thus the value of x rounded to the nearest tenth is 8.2
Hope that helps!
Work out the coordinates of the midpoint of MN.
M (-5, 3) N(7, -8)
Answer:
(1, - 2.5 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = (M (- 5, 3 ) and (x₂, y₂ ) = N (7, - 8 ) , then
midpoint = ( [tex]\frac{-5+7}{2}[/tex] , [tex]\frac{3-8}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-5}{2}[/tex] ) = ( 1, - 2.5 )
HELP ASAPPPP
In two sample surveys, 125 people were asked about their favorite fruit. In the first survey, 40 people chose apples, 64 chose oranges, and 21 chose bananas. In the second, 43 chose apples, 63 chose oranges, and 19 chose bananas. Marianne inferred that most people prefer oranges. Is this inference true based on the data? Explain.
Answer:
More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.
I hope this helps you
Step-by-step explanation:
the sum of a minutes and b seconds, expressed in minutes, is:
Answer:
(1+b/60) minutes
Step-by-step explanation:
A minute = 1minute
b seconds = b/60minutes =b/60 minutes
sum of a minute and b seconds= (1+ b/60) minutes
The equation 2x² + 2y2 – 8x - 12y + 16 = 0 defines a circle.
which of these shows a correct step for determining the center and radius of this circle? choose all that are correct.
(2x2 – 8x + 16) + (2y2 – 12y + 36) = -16 + 36
(x - 4)2 + (y - 9)2 = 5
(x2 - 4x + 4) + (y2 – 6y + 9) = -8 +13
ox? + y2 - 4x - 6y = -16
(x - 2)2 + (y - 3)2 = 5
Answer:
C, E
Step-by-step explanation:
Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.
The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...
x² +y² -4x -6y +8 = 0
Subtracting 8 puts us in better position to complete the squares.
x² +y² -4x -6y = -8
Now, we can add the squares of half the coefficients of the linear terms.
(x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C
And we can simplify this to the standard form equation:
(x -2)² +(y -3)² = 5 . . . . . matches E
find the median of first 10 prime numbers
Larry earns $5.25 per hour helping his neighbor. Last month he earned $220.50. How many
hours did Larry work?
PLEASE I NEED HELP WITH THIS!! BRAINLIEST FOR THE FASTEST ANSWER
Answer:
B - 2093 in cubed
Step-by-step explanation:
Use the formula 4/3 * pi * r^3 to find the volume of one basketball, using 5 as the radius. Next, multiply this number by 4 to find the volume of 4 basketballs. The answer should be option B.
Hopefully this helps- let me know if you have any questions!
Answer:V≈268.08
Step-by-step explanation:Volume of a sphere: V = (4/3)πr. times 4 equals V≈268.08. i think this is it!! i hope it works loe you have an amazing day:) -marina mae
These two figures have the same perimeter. Solve for x and find the perimeter.
(Please say the actual number and not a link please!)
Answer:
x=4, perimeter is 30.
Step-by-step explanation:
Let's calcualte the perimeter of the two figures. I'm assuming the pentagon is regular else the problem lacks information.
[tex]5(x+2) = 3x+(2x-1)+(x+7)\\5x+10=6x+6\\4=x[/tex]
At this point the easiest to compute is the pentagon, one side is 6, the whole perimeter is 30.
it takes 120 unit cubes to completely fill a rectangular prism. the prism is 10 units cubes high
how would i answer this ?
Answer:
12
Step-by-step explanation:
Well, I am pretty sure you are looking for the length.
Since area = length x width, I would say that you could divide as well.
120 = 10 x 12
I am pretty sure the length is 12.
:)
Is ABC~ DEF? If so, identify the similarity postulate or theorem that applies.
Answer:
a
Step-by-step explanation:
i hope it helps
*correct me if im wrong
HELP ASAP
Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their favorite types of reading materials. Of those 60 students, 12 chose science fiction. Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction. If 150 students attend the school, did he make a reasonable inference? Explain
Answer:
No
Step-by-step explanation:
The sample size wasn't big enough. It could only be a trend in that grade.
Answer:
Mr. Rodriguez made a reasonable assumption. His surveys were random, non-biased, and relatively large in comparison to the school population. 12 out of 60 is 20%.
Step-by-step explanation:
Sunny made a deposit into an account that
earns 6% simple interest. After 7 years, Sunny
had earned $420. How much was his initial
deposit?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$420\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &7 \end{cases} \\\\\\ 420 = (P)(0.06)(7)\implies \cfrac{420}{(0.06)(7)}=P\implies 1000=P[/tex]