can you explain each step please for i can write it on a paper along with you
Answers
The two groups are given one is those who are studied and other is those who are not studied.
Studied - 88,100,94,79,92,100,95,83,89,99,100,91,89,95,100,93,96,84.
Arrange in order.
79, 83, 84, 88, 89, 89, 91, 92, 93, 94, 95, 95, 96, 99, 100, 100, 100, 100
The mean of this group is
[tex]\frac{88+100+94+79+92+100+95+83+89+99+100+91+89+95+100+93+96+84}{18}[/tex][tex]\frac{1667}{18}=92.6[/tex]The mean is 92.6.
The median of this group is
Use the median formula for even
[tex]m=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}^{}}{2}[/tex]Substitute the value of n =18
[tex]m=\frac{(\frac{18}{2})^{th}+(\frac{18}{2}+1)^{th}^{}}{2}=\frac{9^{th}+10^{th}^{}}{2}[/tex][tex]m=\frac{93+94}{2}=93.5[/tex]The median is 93.5.
The mode of this group is 100 as it is appears 3 times .
The another group is not studied group.
Not studied - 82,72,45,91,58,83,65,87,90,77,73,89.
Arrange in order-
45, 58, 65, 72, 73, 77, 82, 83, 87, 89, 90, 91
The mean is determined as
[tex]\frac{82+72+45+91+58+83+65+87+90+77+73+89}{12}=\frac{912}{12}=76[/tex]The median is determined as
[tex]m=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}}{2}[/tex]Substitute n=12.
[tex]m=\frac{(\frac{12}{2})^{th}+(\frac{12}{2}+1)^{th}^{}}{2}=\frac{6^{th}+7^{th}}{2}=\frac{77+82}{2}=79.5[/tex]There is no mode.
So, from the all the data given.
The mean of the group that studied is over 15 percent points higher than the mean of the group that did not studied.
[tex]92.61-76=16.61[/tex]The median of the group that did not studied is less than 80.
In general , those students that studied scored much higher than those students that did not study.
The correct options are a , c and e.
Related Questions
Can anyone solve this please, tommorow is my exam
Answers
Answer:
x=172°
Step-by-step explanation:
5x-11=3x-5
2x-11=5
2x=16
x=8
180-8=172
The radioactive substance cesium-137 has a half-life of 30 years. The amount A(t) (in grams) of a sample of cesium -137 remaining after t years is given by the following exponential function.A (t) = 523 (1/2)^t/30Find the initial amount in the sample and the amount remaining after 100 years.Round your answers to the nearest gram as necessary.Initial amount:Amount after 100 years:
Answers
After 100 years:
Replace t by 100:
A (t) = 523 (1/2)^t/30
A (100) = 523 (1/2)^100/30 = 523 (1/2) ^10/3 = 51.88 =52 grams
The initial amount of the sample is 523
insert parentheses to make the expression true
4×2+3×2=32
Answers
Answer:
4 * ( 2 + 3 * 2) = 32
Step-by-step explanation:
The strategy I used in this question is generally trial and error. The most important thing here to remember is to follow the order of operations. If you think a little out of the box, then you will see the answer. To solve, first multiply 3*2, then add two, which should result in 8. 4*8 is 32, which makes the equation true.
Product of two rational no. is 1 , if one of them is ⁵/², then the other no. isa) ⅖b) -1 c) 0
Answers
Given:
Product of two numbers is 1.
The one number is 5/2.
Let the another number be x.
[tex]\begin{gathered} x\times\frac{5}{2}=1 \\ x=1\times\frac{2}{5} \\ x=\frac{2}{5} \end{gathered}[/tex]Answer: Option a) is correct. the other number is 2/5.
which is true about box plots? group of answer choices boxplots show the number of datapoints between any two values boxplots present the shape of the distribution (density curve) boxplots can involve a categorical variable and a continuous numerical variable boxplots show the size of the data set (number of data points) boxplots visually present the mean and standard deviation boxplots show where the peak of the distribution is
Answers
Box plots present the shape of the distribution (density curve), Box plots can involve a categorical variable and a continuous numerical variable, Box plots show where the peak of the distribution is are the correct statement.
Instead of showing the raw data points, Box Plots takes the sample data and then present the ranges of values based on the quartiles and also display the asterisks for outliers that generally falls outside the whiskers.
Yes, the shape of distribution can be understood from a Box Plot. It can show whether a statistical data set is normally distributed or skewed.
A Box plot is a graph of the distribution that has Continuous variables. It is also applicable for Categorical variables.
Box Plot generally shows the below parameters: Maximum, Minimum, Median, 75th Percentile, 25th Percentile and Interquartile Range.
A size can be determined by using these parameters but is not directly seen in a Box Plot
Generally a Standard Deviation is not visualized by Box Plot. It mainly visualizes Maximum, Minimum, Median, 75th Percentile, 25th Percentile and Interquartile Range.
Yes, the peak of the distribution can be analyzed from Box Plot
Generally for Normal Distribution, Mean = Median and this is the point where the peak is seen.
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Finding Slope
HELP ME
Answers
Answer: slope is -3
Step-by-step explanation: (-5,6) and (-9,-6)
Take your Y values and subtract them -6-6=-12
Take your X values and subtract them -9-(-5) or -9+5= -4
Then your -12 will be your numerator and your -4 will be your denominator
Then Divide
-12/-4= -3
I hope this helps!
Convert to Slope-Intercept Form3x + 4y = 4
Answers
The slope-intercept form generally can be represented as;
[tex]y\text{ = mx + c}[/tex]where m represents the slope and c is the y-intercept
So in this case, we have to make y the subject of the formula;
3x + 4y = 4 will be
4y = 4-3x
4y = -3x + 4
we now need to make y the subject of the formula;
[tex]\begin{gathered} \frac{4y}{4}\text{ = }\frac{-3x}{4}\text{ + }\frac{4}{4} \\ \\ y\text{ = }\frac{-3}{4}x\text{ + 1} \end{gathered}[/tex]The formula written in symbols as T =UN. Solve the formula for U.
Answers
The formula written in symbols as T =UN. Solve the formula for U.
we have
T=U*N
solve for U
so
isolate the variable U
step 1
divide by N both sides
T/N=U*N/N
T/N=U
therefore
U=T/NUsing the information in the diagram determine the height of the tree
Answers
Given
To find the height of the tree.
Explanation:
It is given that,
From the figure, it is clear that ΔABC and ΔADE.
That implies,
[tex]\begin{gathered} \frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC} \\ \frac{x}{2x}=\frac{y}{2y}=\frac{DE}{200} \\ \frac{1}{2}=\frac{DE}{200} \\ DE=\frac{200}{2} \\ DE=100 \end{gathered}[/tex]Hence, the height of the tree is 100ft.
Is (x-3) a factor of 2x^3 -4x^2-6?
1) (Type yes or no in the first blank)
2) What is the remainder?
(Type the answer in the second blank)
Answers
1. x - 3 is not a factor
2. The remainder is 32.
1. How to determine if x - 3 is a factor of 2x³ - 4x² - 6?Using the remainder theorem, which states that for a polynomial p(x), if x - a is a factor, then p(a) = 0.
So, p(x) = 2x³ - 4x² - 6 If x - 3 is a factor, then
p(3) = 0
So, substituting x = 3 into the equation, we have
p(3) = 2x³ - 4x² - 6
= 2(3)³ - 4(2)² - 6
= 2(27) - 4(4) - 6
= 54 - 16 - 6
= 54 - 22
= 32
Since p(3) ≠ 0.
x - 3 is not a factor
2. What is the remainder?Since p(3) = 32,
The remainder is 32.
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A ride sharing company offers two options: riding in small cars that can carry up to 3 passengers each, or riding in large vans that can carry up to 6 passengers each. A group of 27 people is going to use the ride sharing service to take a trip. The trip in a small car costs $10 and the trip in a large van costs $15. The group ends up spending $80 total.What do x and y represent?
Answers
Answer:
x = no of people in a small car
y = number of people in a van
Explanation:
The relevant information in the problem is that the total number of people is 27 and that the small car costs $10 and the large van $15.
If we call x the number of people in a small car, and y the number in the large van then the following equations can be obtained
[tex]\begin{gathered} x+y=27 \\ 10x+15y=80 \end{gathered}[/tex]The first equation simply says that the total number of people is 27 and the second equation says that the total cost of the trip is $80.
Hence,
x = no of people in a small car
y = number of people in a van
how to graph y=2x+2 please help
Answers
The graph of the equation is attached to the solution.
We can graph the equation of the line by finding the x and y intercept of the line.
We know that the equation is in the slope intercept form.
Hence, we can write the y-intercept of the line as 2.
The coordinates of the point will be (0,2).
To find the x - intercept, we can put y = 0
0 = 2x + 2
-2 = 2x
x = -2/2 = -1
x = -1
The coordinates of the point will be (-1,0).
We can find another point on the line.
Let x = 1
y = 2(1) + 2
y = 2 + 2
y = 4
The coordinates of the point will be (1,4).
We can plot these points on the graph and get our graph.
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i need help with my homework please check work when done I NEED HELP WITH THE QUESTION IN BLUE
Answers
Amount invested by Katelyn = $4000
rate = x%
time = x + 2 years
n = number of times compounded
n = annually = 1
We need to find the function that models the total amount
To find the function, we will apply the compound interest formula:
[tex]\begin{gathered} $$FV\text{ = P(1 +}\frac{r}{n})^{nt}$$ \\ \\ P\text{ = 4000} \\ t\text{ = x + 2} \\ n\text{ = 1} \\ \text{ r = x\% = x/100} \\ FV=\text{ total amount } \end{gathered}[/tex]substitute the values into the formula:
[tex]\begin{gathered} FV=\text{ 4000\lparen 1 + }\frac{\frac{x}{100}}{1})^{1\times(x\text{ + 2\rparen}} \\ \\ FV=\text{ 4000\lparen1 + }\frac{x}{100})^{x+2} \end{gathered}[/tex][tex]FV=\text{ 4,000\lparen}\frac{100+\text{ }x}{100})^{x\text{ +2}}\text{ }[/tex]let the function that represents the total amount = f(x)
[tex]f(x)=\text{ 4000\lparen}\frac{\text{ }x+\text{ 100}}{100})^{x\text{ +2}}\text{ }[/tex]Last year, Milan had $10,000 to invest. He invested some of it in an account that paid 9% simple interest per year, and he invested the rest in an account that
paid 7% simple interest per year. After one year, he received a total of $780 in interest. How much did he invest in each account?
Answers
Answer:
$4000 at 9% and $6000 at 7%Step-by-step explanation:
Let the amount invested at 9% be x.
Then the amount invested at 7% is 10000 - x.
The amount of interest after one year is $780.
Set up equation to represent this:
0.09x + 0.07(10000 - x) = 7800.09x + 700 - 0.07x = 7800.02x = 780 - 7000.02x = 80x = 80/0.02x = 4000Amount invested at 7% is:
10000 - 4000 = 6000Answer:
Milan invested:
$4,000 into the account earning 9% interest.$6,000 into the account earning 7% interest.Step-by-step explanation:
Given information:
Total amount invested = $10,000.Account A = 9% simple interest per year.Account B = 7% simple interest per year. Total interest earned after one year = $780.Let x be the amount invested in Account A.
Therefore, the amount invested in Account B is (10000 - x).
Simple Interest Formula
I = Prt
where:
I = Interest earned.P = Principal invested.r = Interest rate (in decimal form).t = Time (in years).Create two equations using the given information:
[tex]\begin{aligned}\textsf{Interest: Account A} &= x \cdot 0.09 \cdot 1\\& = 0.09x\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Interest: Account B} &= (10000 - x) \cdot 0.07 \cdot 1 \\& = 0.07(10000 - x)\\& = 700-0.07x\end{aligned}[/tex]
As the total interest earned was $780, set the sum of the two found equations to 780 and solve for x:
[tex]\begin{aligned}\implies 0.09x+700-0.07x&=780\\0.02x+700&=780\\0.02x&=80\\x&=4000\end{aligned}[/tex]
Therefore, Milan invested:
$4,000 into the account earning 9% interest.$6,000 into the account earning 7% interest.
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
9xy³-4y-10x2y2 + x³y + 3x² + 2x²y²-9y4
Answers
Answer:
I believe the answer is c
Step-by-step explanation:
You see, in a standard form the term with greater stays at the very right.
Theorems and Proofs problemIll send a picture of the question
Answers
According to the given information, the reason for the second statement is definition of supplementary angles, this is because the definition of supplementary angles says that the sum of two supplements is 180°.
It means that the answer is B. Definition of supplementary angles.
what is the effect on the graph of the function f(x) = x² when f(x) is changed to f(x + 8) ?A) shifted upB) shifted leftC) shifted right D) shifted down
Answers
Solution
- The rule for this transformation is given below:
[tex]\begin{gathered} f(x)\to f(x+h) \\ when\text{ h is positive, then, the graph is shifted left} \\ when\text{ h is negative, then, the graph is shifted right} \end{gathered}[/tex]- Based on this rule, f(x + 8) will shift the graph 8 units to the left
Final Answer
Shifted left (OPTION B)
14. A surveyor observes that the top of a building makes an angle of 32° with the road.From another location 300 ft. from the base of the building, the angle of elevation is 22°How far is the base of the building from the first observation point, ×, on the road?
Answers
Considering h as the height of the building, we have the following set of relations for a right triangle:
[tex]\begin{gathered} 300\cdot x=h^2 \\ h=300\cdot\tan22\degree \\ h\approx121\text{ ft} \\ \therefore x=\frac{121^2}{300}\approx49\text{ ft} \end{gathered}[/tex]Chocolate milk Riley mix five scoops of chocolate powder with 3 cups of milk Brooke mixes 6 cups of chocolate powder with 4 cups of milk whose mixture is more chocolatey explain how you know
Answers
This mixture has an extra scoop of chocolate ice cream so will taste more chocolatey than 3 scoops of chocolate ice cream and 2 cups of milk.
A chemist is using 363 milliliters of a solution of acid and water. If 13.6% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answers
If 13.6% of the solution is acid ,then 49.4 milliliters of acid are there .
In the question;
it is given that
the total solution of acid and water is 363 milliliters .
and also it is given that 13.6% of the solution is acid ,
which means
the amount of acid in solution = 13.6% of total solution
Substituting the values , and
on solving further ,
we get
amount of acid in solution = 0.136×363 ......as 13.6% = 0.136
= 49.368
≈ 49.4 milliliter
Therefore , if 13.6% of the solution is acid ,then 49.4 milliliters of acid are there .
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What is the solution of the system of equations below?
y+2x=2 y+4x=0
GIVING 100 POINTS PLEASE HELP
Answers
Answer: (-1, 4)
Step-by-step explanation: y=-2x+2, y=-4x Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer this question using SUBSTITUTION:
Substitution is a method to solving a system of equations through substituting one of the variables for another equation.
y + 2x = 2
y + 4x =0 (rewrite this equation so y is isolated: y =4x)
Since y=4x you can substitute the y in y +2x =2 and solve for x:
4x + 2x =2
6x = 2
x = [tex]\frac{1}{3}[/tex]
Now, plug in x into y =4x:
y = 4 ([tex]\frac{1}{3}[/tex]) = [tex]\frac{4}{3}[/tex] or [tex]1\frac{1}{3}[/tex]
x= [tex]\frac{1}{3}[/tex]
y = [tex]\frac{4}{3}[/tex] or [tex]1\frac{1}{3}[/tex]
which hill's criteria, addressing whether the exposure comes before or after the effect, is the only criteria that must be met 100% for a causal relationship to be possible?
Answers
Hill's Criteria of Strength is the only criteria that must be met 100% for a causal relationship to be possible.
The Criteria of strength is Hill's first test for causation. He stated that the likelihood of an association being causative increases with the size of the connection between exposure and disease. Hill used Percival Pott's investigation into the prevalence of scrotal cancer in chimney sweeps to highlight this issue. Since the correlation between that occupation and sickness was so strong (almost 200 times more than in other jobs), it was concluded that chimney soot was probably a contributing factor. On the other hand, Hill argued that minor connections are less indicative of causation since they are more likely to be explained by other underlying factors (such as bias or confounding).
To evaluate possibly causative associations, it is essential to define what is meant by a "strong" correlation. Scientists may now distinguish between strong and weak associations using more mathematically sound criteria than Hill had in mind because of developments in statistical theory and computing capacity. Strength is no longer just understood as an association's magnitude. Furthermore, multi-factorial disorders and the existence of determinant risk variables that are tiny in magnitude but statistically significant have received more attention from researchers. The recognized standard for determining the strength of an observed correlation and, hence, its potential causation, is statistical significance today rather than the magnitude of the association.
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X=
/////////////////////
Answers
Answer: [tex]x=15[/tex]
Step-by-step explanation:
By the consecutive interior angles theorem,
[tex]150+3x-15=180\\\\3x-15=30\\\\3x=45\\\\x=15[/tex]
Stella needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 4 hours and charged her $59 for parts. The
total was $359. Which tape diagram could be used to represent the context if z
represents the cost of labor per hour?
Answers
Answer: 75 per hour
Step-by-step explanation:
In one year, a school uses 13,480 pieces of white paper, 7,880 fewer pieces of blue paper thanwhite paper, and 1,500 fewer pieces of yellow paper than blue paper. How many pieces of paperdoes the school use in all?
Answers
Answer:
23,180 pieces
Explanation:
The number of white paper used = 13,480 pieces
Since they used 7,880 fewer pieces of blue paper than white paper
The number of blue paper used = 13,480 - 7880 =5,600 pieces
They also used 1,500 fewer pieces of yellow paper than blue paper.
The number of yellow paper used = 5,600-1500 =4100 pieces
Therefore. the total number of pieces of paper
=13,480 + 5,600 + 4100
=23,180 pieces
What number should be subtracted from both sides of the following equation to solve for x?x + 27 = 303027573
Answers
Step 1
Given;
[tex]x+27=30[/tex]Required; To solve for x
Step 2
Add -27 to both sides
[tex]\begin{gathered} x+27-27=30-27 \\ x=3 \end{gathered}[/tex]Answer; The number that should be subtracted from both sides of the equation is 27
Expand 3(x - 1)(x + 4) and simplify.
Answers
Answer:
3x2-11x-4
Step-by-step explanation:
What is the solution to this equation?
5(x-3) = 21
A x =
OB x=
36
5
D x=
65
6
5
24
OC X= 5
18
5
Answers
Answer:
x = 7.2
Step-by-step explanation:
[tex]5(x - 3) = 21[/tex]
[tex]x - 3 = 4.2[/tex]
[tex]x = 7.2[/tex]
A ball, dropped vertically falls d metres in t seconds
d is directly proportional to the square of t
The ball drops 125 metres in the first 5 seconds
How far does the ball drop in nthe next 9 seconds?
Answers
The distance covered in the next 9 seconds is 405 meters
How to determine the distance coveredThe variation statement is given as
d is directly proportional to the square of t
This means that
d = kt²
Where k represents the constant of variation
Using the parameters in the question, we have
When d = 125, t = 5
Substitute d = 125, t = 5 in d = kt²
This gives
125 = k x 5²
Evaluate
k = 5
So, we have
d = 5t²
After 9 seconds, we have
t = 9
Substitute t = 9 in d = 5t²
Here, we have
d = 5 x 9²
This gives
d = 405
Hence, the distance is 405 meters
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An observation deck extends 200 feet out above a valley. The deck sits 150 feet above the valley floor. If an object is dropped from the observation deck, its height h in feet, after t seconds, is given by h=-16t^2 +150. How long will it take for the object to be 6 feet above the valley floor?
Answers
If equation of the height is h = -16[tex]t^2[/tex]+150, then the time taken for the object to be 6 feet above the valley floor is 4.28 seconds
The equation of the height h = -16[tex]t^2[/tex]+150
Where h is the height
t is the time taken
We have to find the time taken for the object to be 6 feet above the valley floor
The height = -150+6
= -144
Substitute the values in the equation
-16[tex]t^2[/tex]+150 = -144
-16[tex]t^2[/tex] = -144-150
-16[tex]t^2[/tex] = -294
[tex]t^{2}[/tex] = 18.375
t = 4.28 seconds
Hence, if equation of the height is h = -16[tex]t^2[/tex]+150, then the time taken for the object to be 6 feet above the valley floor is 4.28 seconds
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