Concept
Given the data below as the original score of the student
[tex]5,10,\text{15,20}[/tex]The mean score is given as
[tex]\frac{5+10+15+20}{4}=12.5[/tex]Adding 5marks to the score we will be having the score below
[tex]10,15,20,25[/tex]Then the new mean score becomes
[tex]\frac{10+15+20+25}{4}=17.5[/tex]Hence the mean will be altered by adding
Other statistical measures will not be altered
STS Solve Applications Involving Normal DistributionsA set of 1200 exam scores is normally distributed with a mean of 84 and standard deviation of 9. Use theEmpirical Rule to complete the statements below.
Let us upload the bell curve for standard normal distribution
Given that
[tex]\begin{gathered} \mu=84 \\ \sigma=9 \\ \end{gathered}[/tex]15) How many students scored higher than 84
Therefore, the number of students that will score higher than 84 which is the mean will be 50% from the bell curve standard normal distribution.
Hence, the answer is 50%.
19) How many students scored lower than 75?
To get the number of students that score lower than 75, we will subtract 1standard deviation from the mean.
[tex]\begin{gathered} \mu-\sigma=84-9=75 \\ \end{gathered}[/tex]Hence, the number of students will be
[tex]9.2\text{ \%+4.4\%+1.7\%+0.5\%+0.1\%=15.9\%}[/tex]The answer is 15.9%.
20) How many students scored lower than 93?
To get the number of students that score lower than 93, we will add 1standard deviation from the mean.
[tex]\mu+\sigma=84+9=93[/tex]Hence, the number of students will be
[tex]100\text{ \% -(9.2+4.4+1.7+0.5+0.1)\%=100\%-15.9\%=84.1\%}[/tex]The answer is 84.1%.
During a thunderstorm at a sports event, a detector activates to let participants know there is lightning in the area so people can seek shelter. The accuracy of the lightning detector is summarized in the table. Lightning detector activates Lightning detector does not activate Row Totals Lightning in area 88% 2% 90% No lightning in area 7% 3% 10% Column Totals 95% 5% 100% What is the ratio of true positives to false positives in this scenario? Round your answer to one decimal place. 0.1 1.5 12.6 44
The answer is 12.6
Step-by-step explanation:
The ratio is calculated with division.
This means we need to do this equation: 88/7.
The answer to 88/7 is 12.57. However, the question states: Round your answer to one decimal place.
This means we round 12.57 up to 12.6.
Answer: its (C) 12.6
Step-by-step explanation:
basically the first person already explained it
the positives are ( lighting detector activates ) column
the true positive its when the detector activates and there is lightning, so 88%
and false positive its when the detector activates but there's no lightning, so 7%
at the end you just divide 88% / 7%
which is 12.57 and you round it
Selena and Luis are building a model bridge out of balsa wood. To make a strong bridge, they create each post by laying out two long wooden poles horizontally, as shown in the diagram, and connecting them with smaller strips of balsa wood laid diagonally in a triangle pattern. The triangle pattern is continued down the entire length of the wooden poles.
The poles are 12 centimeters apart, and each small strip of balsa wood is 13 centimeters long.
If the two poles are each 100 centimeters long, how many small strips of balsa wood will they need to connect them?
Pythagoras theorem is used to find the length of sides in geometry. The number of strips of Balsa wood having length of 13cm is 8 approximately.
What is Pythagoras theorem?Pythagoras theorem states that the square of the hypotenuse in a right angled triangle is equal to the sum of the squares of the remaining two sides.
Given that,
The length of each pole = 100cm.
The distance between the pole = 12cm.
The length of each strip of Balsa wood = 13cm.
The diagram for the given question is as follows,
Apply Pythagoras theorem, h² = p² + b² in the given triangle to find the hypotenuse as,
h² = 100² + 12²
=> h² = 10144
=> h = 100.71
Now, the number of strips of balsa wood is equal to hypotenuse divided by 13 which is given as,
100.71 ÷ 13 = 7.74.
Hence, the number of small strips of Balsa wood is 8 approximately.
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100 Points + Brainliest if correct and well explained: The data in the table describes the preferred type of exercise of student athletes.
Cycling Running Row Totals
Male 0.22 0.32 0.54
Female 0.15 0.31 0.46
Column Totals 0.37 0.63 1.00
What is the conditional relative frequency that cycling is preferred by a female? Round your answer to two decimal places.
0.15
0.33
0.41
0.67
Answer:
0.33
Step-by-step explanation:
The specific number (females prefer cycling = 0.15) and the fitting total. There are 2 possibilities for that total :
all females
all people preferring cycling
the way it was phrased I would say the reference is all females.
the conditional relative frequency is then
0.15 / 0.46 = 0.326=0.33(rounded)
Hence the conditional relative frequency that a female prefers running is 0.33
What does n stand for in the expression?If there are 60 sides, what is the difference between the perimeter and π?
a. The expression represents the perimeter of a polygon:
[tex]n\cdot\sin (\frac{360}{2n})[/tex]n represents the number of sides of the polygon.
b. If we have 60 sides, then n = 60.
We can calculate the approximation given by the expression as:
[tex]\begin{gathered} n\cdot\sin (\frac{360}{2n}) \\ 60\cdot\sin (\frac{360}{2\cdot60}) \\ 60\cdot\sin (\frac{360}{120}) \\ 60\cdot\sin (3) \\ 60\cdot0.0523 \\ 3.138 \end{gathered}[/tex]We can then calculate the difference with π using a calculator as:
[tex]|3.138-\pi|=0.0036[/tex]The difference is approximately 0.0036.
( 1 - v ) (5v +9 ) = 0Find v
We know that if XY = 0 then there are two options: X = 0 or Y = 0
Then, in this case:
If ( 1 - v ) (5v +9 ) = 0 then
( 1 - v ) = 0 or (5v +9) = 0
We find v for both cases:
1 - v₁ = 0
1 = v₁
5v₂ + 9 = 0
5v₂ = -9
v₂ = -9/5
Answer: v₁ = 1, v₂ = -9/5a, b, and c represent three different numbers. each is chosen from the set 3 5 7 9 . what is the least possible value of a/b+c?
the larger the denominator compared to the numerator, the smaller the number, so:
[tex](b+c)\gg a\Rightarrow\frac{a}{b+c}\to0[/tex]So, let's choose the smallest number as a numerator, and the biggest numbers as a denominator:
[tex]\frac{3}{7+9}=\frac{3}{16}=0.1875[/tex]Solve the following proportion
X/2 = 8/9
Geometry! Just the first question:)
Hi your answers would be
a) 30 degrees
b) 65 degrees
c) 115 degrees
d) 85 degrees
e) 150 degrees
f) 30 degrees
Hope these answers help.
Answer:
5 round table pizza and amen and amen and amen and amen
Step-by-step explanation:
the program I think the banner side effects
Addison drove 162 miles in 8 hours. What was her speed in miles per hour?
[tex]\fbox{20.25}[/tex]
To find her miles per hour, we need to divide the total miles by the total hours to find how many miles she drives in each hour.
[tex]162\div8[/tex]
[tex]=20.25[/tex]
Two concentric circles are shown. The length of the arc MN is 4π cm and the length of the arc RE is 8π cm.Which statements are correct? Select all that apply.ere to searchThe radius of the larger circle is 16 cm.The radius of the smaller circle is 16 cm.
We can express the length of an arc as a fraction of the circumference.
This fraction is equal to the the proportion between the measure of the arc and the full circle measure.
In this case, the measure is 45°, so the fraction should be:
[tex]\begin{gathered} \alpha=45\degree \\ \Rightarrow f=\frac{\alpha}{360\degree}=\frac{45\degree}{360\degree}=0.125 \end{gathered}[/tex]Then, we can express the arc MN as:
[tex]MN=C_1\cdot f[/tex]where C1 is the circumference of the smaller circle.
We can express then calculate it as:
[tex]\begin{gathered} MN=C_1\cdot f \\ C_1=\frac{MN}{f}=\frac{4\pi}{0.125}=32\pi \end{gathered}[/tex]As the circumference can be related to the radius, we can us this value to calcualte the radius of the smaller circle:
[tex]\begin{gathered} C_1=2\pi r_1 \\ r_1=\frac{C_1}{2\pi}=\frac{32\pi}{2\pi}=16 \end{gathered}[/tex]Then, the small circle has a radius of 16 cm and a circumference of 32π cm.
We can then calculate C2 and r2 for the bigger circle as:
[tex]\begin{gathered} RE=C_2\cdot f \\ C_2=\frac{RE}{f}=\frac{8\pi}{0.125}=64\pi \end{gathered}[/tex][tex]\begin{gathered} C_2=2\pi r_2 \\ r_2=\frac{C_2}{2\pi}=\frac{64\pi}{2\pi}=32 \end{gathered}[/tex]The bigger circle has a radius of 32 cm and a circumference of 64π cm.
We can now calculate the length of the segments NE and MR. Both are equal and can be calculated as the difference between the radius of the bigger circle (r2) and the radius of the smaller circle (r1):
[tex]NE=MR=r_2-r_1=32-16=16[/tex]Both segments, NE and MR, have a length of 16 cm.
We can now check the statements. The ones that are true are:
• The radius of the smaller circle is 16 cm.
,• The length of the segment MR is 16 cm.
,• The circumference of the larger circle is 64π cm.
Answer: The true statements are
• The radius of the smaller circle is 16 cm.
,• The length of the segment MR is 16 cm.
• The circumference of the larger circle is 64π cm.
8th grade math
Subject in math: comparing ratios and graphs
The ratio of the graph X: Y is 1:9.
What is a straight-line graph?
The graph follows a straight-line equation shows a straight line graph.
equation of a straight line is y=mx+cy represents the vertical line y-axis.
x represents the horizontal line x-axis.
m is the slope of the line
slope(m)=tan∅=y axis/x axis.
c represents y-intercepts (it is the point at which the line cuts on the y-axis)
Straight-line graphs show a linear relationship between the x and y values.
Calculation:-
The slope of X = 10/100 = 1/10
The slope of y = 90/100 = 9/10
Therefore the ratio of X: Y
= 1/10 × 10/9
= 1:9
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Claire has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $27, before discount and tax. After the discount, and before tax, the price is $25.38. Find the percent discount.
The percent discount of the item in the grocery store if the item is priced at $27, before discount and tax and $25.38 after discount and before tax is 6%.
How to find percent discount?Price of item before discount and tax = $27Price of item after discount before tax = $25.38Percent discount = (Price of item before discount and tax - Price of item after discount before tax ) / Price of item before discount and tax × 100
= (27 - 25.38) / 27 × 100
= 1.62 / 27 × 100
= 0.06 × 100
= 6%
In conclusion, the percent discount of the item is given as 6%
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estimated sales volume =47.81+0.47(Advertising Expenditures)If the company has a target sales volume of $175,000,how much should the sales manager allocate for the advertising in the budget ? round your answer to the nearest dollar
We are given an estimate equation.
Let the estimate sales volume be "s" and advertising expenditure be "a".
The given equation is:
[tex]s=47.81+0.47a[/tex]The company has a target sales of 175,000, which is a value for "s".
To get how much they need to allocate for advertising, we can solve for "a" in the equation and substitute the "s" value with 175,000:
[tex]\begin{gathered} s=47.81+0.47a \\ 47.81+0.47a=s \\ 0.47a=s-47.81 \\ a=\frac{s-47.81}{0.47} \end{gathered}[/tex]Now we substitute 175,000 into "s":
[tex]a=\frac{175,000-47.81}{0.47}=\frac{174,952.19}{0.47}=372,238.7021\ldots\approx372,239[/tex]So, by the equation estimate, the sales manager should allocate $327,239 for advertising.
PLEASE HELP ME OUT What is x^2 - 4
Answer: (x-2)(x+2) is the solution
Step-by-step explanation:
Use the sum-product pattern
Common factor from the two pairs
Rewrite in factored form
Answer:
(x-2)(x+2)
Step-by-step explanation:
write an equation in slope intercept form for the lines that passes through (-2,-8) and is parallel to y=-9x-81
The general form of an equation in slope intercept form is ;
y= mx + c where m is the gradient and c is the y-intercept
The equation given is : y = -9x-81 ------this means the slope is -9
This is determined from the general equation ;
y = m x + c
y= -9 x - 81
where -9 is the gradient
Because the two lines are parallel, it means the other equation should have a slope of -9, thus apply the formula for slope give point {-2,-8}
m= change in y-coordinates value / change in x coordinate values
-9 = y --8/x--2
-9 = y+8 /x+2
-9 {x+2} = y+8
Can you please help me out
ANSWER:
A. 2.2%
STEP-BY-STEP EXPLANATION:
We can calculate the probability using the quotient of the area of the small circle and the area of the entire rectangular sector, like this:
[tex]\begin{gathered} p=\frac{A_c}{A_r} \\ A_c=\pi\cdot r^2 \\ A_r=l\cdot w \end{gathered}[/tex]In the circle the radius is 6 inches and in the rectangle the length is 84 inches and the width is 60 inches.
Therefore we replace and we have:
[tex]\begin{gathered} A_c=3.14\cdot6^2=113.04 \\ A_r=84\cdot60=5040 \\ p=\frac{113.04}{5040}=0.022=2.2\text{\%} \end{gathered}[/tex]Write the percent as a decimal. Round to the nearest thousandth if the division does not terminate.5/40%=
ANSWER
[tex]0.001[/tex]Given;
[tex]\frac{5}{40}\%[/tex]Firstly, convert to decimal
we have;
[tex]\begin{gathered} \frac{5}{40}\% \\ =0.125\% \\ \end{gathered}[/tex]"Percent" means "per 100" or divide by 100
Hence, we have;
[tex]\begin{gathered} \frac{0.125}{100} \\ =0.00125 \\ \end{gathered}[/tex]now, converting to the nearest thousandth
[tex]\begin{gathered} =0.00125 \\ \equiv0.001 \end{gathered}[/tex][tex]\equiv0.001[/tex]The answer to the nearest thousandth is
[tex]0.001[/tex]use the commutative property to write an expression equivalent to -5 d + 1/2
We are asked to use the commutative property in the following expression:
[tex]-5d+\frac{1}{2}[/tex]Let's remember that the commutative property states the following:
[tex]a+b=b+a[/tex]In this case, we can swap the order of the terms and they will remain equivalent, like this:
[tex]-5d+\frac{1}{2}=\frac{1}{2}-5d[/tex]And thus we have rewritten the expression using the commutative property
In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC 1 BD, then find
The measure of the angle ∠BEC is 60°.
We are given two parallelograms: ABCD and BDCE. They have a common base CD. It is given that BC is perpendicular to BD. We need to find the measure of the angle ∠BEC.
In the parallelogram ABCD, ∠BCD is equal to ∠DAB because opposite angles in a parallelogram are equal to each other.
∠BCD = 30°
In the triangle BCD, we will use the angle sum property. The sum of all the angles in a triangle is 180°.
∠DBC + ∠BCD + ∠CDB = 180°
90° + 30° + ∠CDB = 180°
∠CDB = 180° - 120°
∠CDB = 60°
Now, in the parallelogram BDCE, ∠BEC is equal to ∠CDB because opposite angles in a parallelogram are equal to each other.
∠BEC = 60°
Hence, the measure of the angle ∠BEC is 60°.
The complete question is given below.
In the figure given below, ABCD and BDCE are parallelograms with common base DC . If BC ⊥ BD , then find ∠BEC.
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if gh=53 and hi=7 then gi=
In the given line, the length of the line gi is 60 units.
What is a line?A line is an indefinitely long, straight object that is drawn with a minimum width in geometry but is said to have no specific width in mathematics since it lacks depth.An angle is created when two straight lines or rays intersect at a single terminal. The vertex of an angle is the location where the two rays meet.So, the length of gi will be:
We know that,
gh = 53hi = 7Now, we can easily see that the given line is:
gi = gh + higi = 53 + 7gi = 60Therefore, in the given line, the length of the line gi is 60 units.
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Return Submit et Income 10 1 point If Betty has a gross income of $3000 a month, what would her total deductions be for the table? Deduction Percentage of gross income 6.2% Type your answer... Social Security Medicare 1.45% Income tax 12.5% Medical $300 Submit Previous
The answer is very simple
The total deductions would be
total deductions = 3000*0.062 + 3000*0.0145 + 3000*0.125 + 300
total deductions = 904.5
a movie theater is having a special. if a group of four pays $7.25 each for the tickets, each person can get popcorn and a drink for $5.75. use the expression 4(5.75 + 7.25) to find the total cost for 4 friends.
The total cost for the 4 friends will be $52.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A group of four pays $7.25 each for the tickets, each person can get popcorn and a drink for $5.75.
Now,
Since, a group of four pays $7.25 each for the tickets, each person can get popcorn and a drink for $5.75.
Hence, We can formulate;
The total cost = 4 (5.75 + 7.25)
= 23 + 29
= 52
Thus, The total cost for the 4 friends will be $52.
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help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
Janice and Donald worked together for 2 hours to build a picnic table, after which Donald continued working for 1 hour without Janice to finish the job. If each is working alone, Janice typically takes 2 less hours than Donald to build a picnic table. Based on this information, how long would it have taken for Janice to build the picnic table alone? Do not include the units in your answer.
To solve this problem the first thing we have to do is identify our variables
The time taken by Janice will be represented by a j, and the time taken by Donald by a d.
• Donald builds the picnic table in hours: , 1/d, of the picnic table per hour
,• Janice builds the picnic table ,j=d-2, in hours: ,1/(d-2), of the picnic table per hour
Now we will get our equation to solve
Janice and Donald worked together for 2 hours to build a picnic table, after which Donald continued working for 1 hour without Janice to finish the job.
[tex]\begin{gathered} 2(\frac{1}{d}+\frac{1}{d-2})+1(\frac{1}{d})=1Table \\ \frac{2}{d}+\frac{2}{d-2}+\frac{1}{d}=1Table \\ \frac{3}{d}+\frac{2}{d-2}=1\text{Table} \\ \frac{2d+3(d-2)}{d(d-2)}=1\text{table} \\ 2d+3d-6=d^2-2d \\ d^2-2d-5d+6=0 \\ d^2-7d+6 \end{gathered}[/tex]We factor our equation to find Donald's time
[tex]\begin{gathered} (d-6)(d-1)=0 \\ d_1=6 \\ d_2=1 \end{gathered}[/tex]They gave us 2 values but we discarded the value of d=1 because the joint calculations would give negative calculations then
[tex]\begin{gathered} j=d-2 \\ j=6-2 \\ j=4 \end{gathered}[/tex]Donald takes 6 hours to set up a table and Janice takes 4 hours.Kaitlyn flew 630 miles in 60 minutes. How many miles per minute did she fly?
Answer:
10.5 miles per minute
Step-by-step explanation:
630/60=10.5
The table below gives select values for the differentiable function f and g, and f' , the derivative of f, at select values of x. If...
Answer: for this problem. What we're going to do essentially, this is an exercise of using the formula for finding the derivative of the inverse of a function. So we have the derivative of the inverse of F would be equal to one over the derivative of F. So F prime evaluated at f inverse of X. So in this case we have X equals three. So F inverse of three, prime will be equal to one over F prime evaluated at f inverse of three. Now, looking at the table of values that you have, well, F inverse of three is going to be the X value such that X equals, or the the X values such that F equals three. So we can see that F equals three when X equals negative one. So we have one over F prime evaluated at negative one and F prime of negative one, we can see it is equal to one. So we'd have won over one or just one is the final answer.
Step-by-step explanation:
Find the slope of the line that contains the following points: (17, -12) and (7, 8)
Answer: -2
Step-by-step explanation:
To find the slope of a line, we use the formula [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]
{x(2),y(2)} coordinates of second points in line
{x(1),y(1)} coordinates of first points in line
So to solve, you take any set of your coordinates given and you chose one to be your second set and your first set. Then you take the y from your 1st set, and you subtract it from the y from your 2nd set. Then you take that and you put it over from what you get when you take the x from the 1st set, and you subtract that from the x in your 2nd set.
So when I solve using this the coordinates given, I get -12-8/17-7
This equals to -20/10, and that equals to -2.
So you find the slope of the line as -2
When using an equivalent fraction to find a percent why do you write 100 as the denominator?
We do so beacuse it is easy to convert a fraction to a percent when the denominator is 100.
What is equivalent fraction?Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.
What is denominator?Denominator is the part of a fraction that is below the line and that functions as the divisor of the numerator.
What is percentage?A percentage or percent is a fraction that always has the denominator as 100.
When using an equivalent fraction to find a percent we write 100 as denominator.
If a fraction does not have a denominator of 100, you can convert it to an equivalent fraction with a denominator of 100, and then write the equivalent fraction as a percent.
We do so because it is easy to convert a fraction to a percent when the denominator is 100.
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how do you ?????????????????????????
what???
any question?????
