Using Chebyshev's Theorem, considering a standard deviation of 40, we have that at least 75% of the students scored between 360 and 520.
What does Chebyshev’s Theorem state?When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].In this problem, considering a standard deviation of 40, we have that:
440 - 2 x 40 = 360.
440 + 2 x 30 = 520.
Within 2 standard deviations of the mean, no information about the distribution, hence, at least 75% of the students scored between 360 and 520.
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Georgia is a coffee enthusiast and drinks three coffee drinks a day from a local coffee shop costing $1.25 each. Being concerned with the expense of her coffee habit Georgia looks into making her own manual brewed coffee. A bag of premium coffee beans costs $70.00, a coffee grinder costs $120.00, and the manual coffee brewer costs $40.00. If a bag of coffee makes enough for 100 cups, how many full bags of coffee does she need to consume before saving money.
She needs to consume 3 full bags of coffee before saving money.
Amount calculationSince Georgia is a coffee enthusiast and drinks three coffee drinks a day from a local coffee shop costing $1.25 each, and being concerned with the expense of her coffee habit Georgia looks into making her own manual brewed coffee, and a bag of premium coffee beans costs $70.00, a coffee grinder costs $120.00, and the manual coffee brewer costs $40.00, to determine, if a bag of coffee makes enough for 100 cups, how many full bags of coffee does she need to consume before saving money, the following calculation must be performed:
70 x 1 + 120 + 40 = 230 / 100 = 2.370 x 2 + 120 + 40 = 300 / 200 = 1.570 x 3 + 120 + 40 = 370 / 300 = 1.23Therefore, she needs to consume 3 full bags of coffee before saving money.
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Ayuda porfavor!! E estado intentando y no lo puedo resolver
CURSO: MATEMÁTICAS FINANCIERAS
bro i really dont know this is hard
molly makes 70% of her free throws. The random numbers below represent 20 trials of a simulator of two free throws, using the numbers 9 through 0
38 38 21 50 64
71 66 42 47 90
80 82 29 98 27
87 89 89 93 03
let the numbers from --- to ----- represent a successful free throw.
let the numbers from ---- to ----- represent a missed free throw.
based on the simulated results, the probability that molly makes both free throws is
----- or ------%
The random number simulator of Molly's throws is an illustration of probability.
The probability of making both free throws is 30%
How to determine the probability?From the complete question, we understand that:
The simulator is based on numbers 0 to 9
Given that she makes 70% of her free throws, then it means that 7 of the 10 numbers would represent a successful throw, while the other three would represent a missed throw
So, we have:
Let the numbers from 0 to 6 represent a successful free throw.Let the numbers from 7 to 9 represent a missed free throw.From the random numbers, she has two successful free throws in:
21 50 64 66 42 03 --- 6 numbers of 20
The probability of making two free throws is then calculated as:
P = 6/20
Evaluate
P = 30%
Hence, the probability of making both free throws is 30%
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The quadratic function
Answer:
Four and three arithmetic numbers of this equation are then
Step-by-step explanation:
[tex]x = 3 = x = 4 > - 4 > < - 3 = x = 4[/tex]
And the numbers are equal
[tex]x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12[/tex]
how many 5 seater taxis do you need for78 people
Step-by-step explanation:
Answer: 78 /5 = 15.6 = 16 taxis. Step-by-step explanation: I HOPE THIS WILL HELP YOU AND MARK IT AS BRAINLIEST ANSWER PLEASE.
Please help 300 points
Answer:
4x + 9 ≥ 0
Step-by-step explanation:
The inside of the square root, the radicand, cannot be negative.
It can only be zero or positive.
Zero or positive is also described as being greater than or equal to 0.
Set the radicand to be greater than or equal to zero.
4x + 9 ≥ 0
Answer:
4x+9>=0
Step-by-step explanation:
The domain of a square root is that it can’t be less than 0. So we have the equation 4x+9>=0.
An AC generator produces an alternating current with a peak value of 18 V. The resistance of the lamp is 4 ohms. What is the effective current?
The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.
What is current?Current is the flow of electrons through a conductor when voltage is applied across the conductor.
Given the peak voltage of 18 V, hence:
[tex]V_{rms}=\frac{Peak\ value}{\sqrt{2} } =\frac{18}{\sqrt{2} } =12.73 V\\\\I_{rms}=\frac{V_{rms}}{resistance } =\frac{12.73}{4 } =3.18 A\\[/tex]
The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.
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CAN SOMEONE GIVE ME A RIGHT ANGLE TRIG WORD PROBLEM JUST MAKE IT UP PLS ILL GIVE BRAINLIEST
Answer:
In a right triangle, the leg adjacent to an angle of 25° is 13 cm long. How long is the leg opposite the 25° angle, to the nearest tenth?
Step-by-step explanation:
Choose the number (X) that should come next in this series (1 4 9 16 X).
20
23
25
27
Answer:
25
Step-by-step explanation:
[tex]1^2=1\\\\2^2=4\\\\3^2 = 9\\\\4^2=16\\\\\text{So the next number should be}~ 5^2=25[/tex]
What is the answer for this question?
Answer:
is this from flvs?
Step-by-step explanation:
I need to solve 5 :(
Answer:
the distance between df is just 2dj so i belive its 12.
Step-by-step explanation:
On a recent math assignment consisting of 32 problems, Wendy had 5 application problems, and the
rest involved only computation. What percent of the problems were only computation?
Answer:
84.375%
Step-by-step explanation:
Total no. of computation problem=32-5=27
Total no. problems in the assignment=32
=) per%= 27/32×100%=84.375%
PLS MARK ME AS BRAINLIEST
which of the following steps were applied to ABCD to obtain A'B'C'D'?
A. shifted 3 units left and 2 units up
B. shifted 2 units left and 4 units up
C. shifted 2 units left and 3 units up
D. shifted 3 units left and 4 units up
Answer:
A. shifted 3 units left and 2 units up
Answer:
shifted 3 units left and 2 units up
1 Susie wants to make some hot cereal for breakfast. The directions say to use 3 cups
of water with 1 cup of cereal to make 4 servings. Susie only wants 1 serving.
a
How much cereal should she use?
b How much water should she use?
Using proportions to relate the amount of cups needed, it is found that she should use:
a) 0.25 cups of cereal.
b) 0.75 cups of water.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, for 4 servings, 3 cups of water and 1 cup of cereal is needed. One serving is one-fourth of the amount, hence:
Item a:
1/4 x 1 = 0.25 cups of cereal.
Item b:
1/4 x 3 = 3/4 = 0.75 cups of water.
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Select all expressions equivalent to
532
20
202
124
55
51.43
5.43
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
Answer
Parallelogram: A quadrilateral with 2 pairs of parallel sides. Rectangle: A parallelogram with 4 right angles.
How do you know what units to use for Tamara to feed her cats
The units use for Tamara's cats is an illustration of metric units
Tamara's unit of feeding her cats is cups
How to determine the unit of measurement?From the complete question, the amount of feed Tamara gives her cat to be:
Amount = 1/8 cups
This means that the unit of feed Tamara used is cups
Hence, Tamara's unit of feeding her cats is cups
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on
Find the distance between -1/2 and 1 2/3
on
a number line.
units
Answer:
Step-by-step explanation:
1 2/3 -(-1/2)
=5/3+1/2
[tex]=\frac{10+1}{6} \\=\frac{11}{6} \\=1\frac{5}{6}[/tex]
A can of soda can be modeled as a right cylinder. Aubrey measures its height as 10.1
cm and its circumference as 14 cm. Find the volume of the can in cubic centimeters.
Round your answer to the nearest tenth if necessary.
The volume of the cylinder is the amount of space in the cylinder
The volume of the cylinder is 218.4 cubic centimeter
How to determine the volume of the cylinder?The given parameters are:
Circumference (C) = 14 cm
Height (h) = 10.1 cm
Start by calculating the radius (r) using:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]2\pi r = 14[/tex]
Make r the subject
[tex]r =\frac 7\pi[/tex]
The volume of the cylinder is then calculated as:
[tex]V =\pi r^2h[/tex]
This gives
[tex]V =\pi * (\frac{7}{\pi})^2 * 14[/tex]
Evaluate
[tex]V =218.4[/tex]
Hence, the volume of the cylinder is 218.4 cubic centimeter
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How do I do this question folks?
Answer:
Correct answer: B
Step-by-step explanation:
Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.
In the graph, you can see that the graph is defined for [tex]-3\leq x < 1[/tex] (not-including 1 because there is an open hole there, indicating it is not part of the domain), and [tex]2\leq x\leq 4[/tex].
Now that we know the domain, we can attach it to the graphs that lie on those domains.
We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.
At this point, you can just start crossing off answers that don't meet this criteria.
Cheers!!
Mario loaned Robert $390 at an interest rate of 18% for 229 days. How much will Robert pay Mario at the end of 229 days? Round your answer to the nearest cent.
Answer:
Amount Robert will pay back = $434.04
Step-by-step explanation:
Formula for interest is;
I = (P * R * T)/100
We are given;
P = $390
Rate = 18%
Time; T = 229 days = 229/365
Thus;
I = (390 * 18 * (229/365))/100
I = $44.04
Thus, total amount Mario will pay back = $390 + $44.04 = $434.04
Ron has a co-op in the Astor Cooperative development. There are 40,000 shares in the cooperative ownership. If Ron owns 500 shares, what percentage of the cooperative corporation does he own?
Answer:
Ron owns 1.25% of shares.
Step-by-step explanation:
400/50000 comes out to 0.0125 which can be converted into a decimal by moving the decimal two places to the right.
If Mrs.davis serves each guest 1/6 of a pie what is the greatest number of guests she can serve
The number 2 in the expression 5 + 2x is called the
coefficient of x. How does changing the coefficient to
6 change the meaning of the expression?
Changing the coefficient of x to 6 changes the meaning of the expression as 5 is added to 6 times x
Solution:
Given that number 2 in the expression 5 + 2x is called the coefficient of x
We are asked to find what happens when changing the coefficient to 6 changes the meaning of the expression
In the expression,
5 + 2x
This means 5 is added to 2 times x or 5 is added to twice of x
Number 2 is called the coefficient of x
When we change this coefficient to 6, the expression becomes,
5 + 6x
So now the meaning of expression becomes,
5 is added to 6 times x
So changing the coefficient of x changes the meaning of the expression
P: Using your prior knowledge how would you find the area of a rectangle ?
Answer: w * l
To find the area of a rectangle the formula used is width x length
Step-by-step explanation:
Sort all of the following triangle side lengths into if each set would form a right, acute, or obtuse triangle.
Answer:
acute, acute, obtuse*, right, obtuse
Step-by-step explanation:
The Pythagorean theorem is used as a reference for classifying triangles from their side lengths. If the sum of the squares of the short sides is equal to the square of the long side, then the triangle is a right triangle. If the long side is too short, then triangle is acute. If the long side is too long, the triangle is obtuse.
__
The math can be tedious, so it is convenient to let a spreadsheet do it. The results are attached.
The first two triangles are acute; the 4th one is a right triangle, and the remaining two are obtuse.
_____
Additional comment
* Note that triangle #3, with side lengths 2, 4, 6, is classified as "obtuse" because the largest angle is greater than 90°. In fact, with those side lengths, the largest angle is 180°. Some would argue it isn't a triangle at all because its area is 0 and it looks like a line segment.
(Our spreadsheet doesn't care if the triangle inequality is not satisifed. It is only concerned with the Pythagorean theorem.)
please help I'm so stuck on this
Answer:
divide the anser in the pasage
Step-by-step explanation:
divide the two numbers
Solve -5(3n + 4) = 40.
Help help help help math
Answer:
(-8, 12)
Step-by-step explanation:
Dilation of point (-4, 6) about point (0, 0)
Scale factor = 2
Image coordinate:
(-8, 12)
hope this helps and is right!! p.s. i really need brainliest :)
The diameter of a circular field is 56 cm. Find the length of wire required to
fence it? How
many times it can be fenced with 704 m of wire ?
Answer:
176cm
400 times
Step-by-step explanation: