what percentage of students scored before 70-90 points on the exam? Round your answer to the nearest tenth of a percent?
Answers
We want to find the percentage of students that scored between 70-90 points on the examn. Also, we know that there are a total of 71 students, so we have to count the number of students who got between 70-90 points.
We see them represented on the histogram as the two largest bars, and we obtain:
[tex]\begin{gathered} 21\text{ students scored between 70-80 points} \\ 22\text{ students scored between 80-90 points} \end{gathered}[/tex]So, the total of students that scored between 70-90 points is 21+22=43.
For finding the percentage, we make the quotient between the number of students with a score of 70-90 and the total of the students in the class.
[tex]=\frac{43}{71}\cdot100=60.6[/tex]This means that approximately a 60.6% of the class students scored between 70 and 90 points.
Related Questions
The graph of y = 2x2 - 4x + 2 opens downward.true or false
Answers
The equation for the graph is :
[tex]y=2x^2-4x+2[/tex]You can graph the equation on a graph tool and view the graph as below:
From the graph, you can see that it opens upwards, so the statement is False.
Correct answer is that the graph opens upwards.
Answer choice : False
The probability on any given night that it's Abe’s responsibility to cook dinner is 24%. If it’s Abe’s responsibility to cook dinner, the probability that his family goes out to a restaurant to eat is 65%. If it is not Abe’s responsibility to cook dinner, the family goes to a restaurant only 15% of the time. Create a tree diagram for this situation: What is the probability that Abe’s family eats out on a night that Abe was not responsible to cook dinner?On any given night, what is the probability Abe’s family eats at a restaurant?Abe’s family did not eat at a restaurant. Determine the probability that Abe was not responsible for cooking?
Answers
Let A be the event that "it's Abe's responsibility to cook dinneron any given night" and B be the event that "family goes out to a restauarnt to eat".
iven that:
[tex]\begin{gathered} P(A)=0.24 \\ P(B|A)=0.65 \\ P(B|A^C)=0.15 \end{gathered}[/tex]Draw the tree diagram.
Use Baye's theorem
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex][tex]\begin{gathered} \text{P(Abe's family eats out on a night and Abe was not responsible to cook) } \\ =P(B\cap A^C) \\ =P(B|A^C)\cdot P(A^C) \\ =0.15(0.76) \\ =0.114 \end{gathered}[/tex][tex]undefined[/tex]what property justifies the statement? if a=b and b=5,then a=5. A. addition property of equality. B. reflexive property.C transitive property. D. symmetric property.
Answers
a=b
b=5
a=5
Symmetric propery of equality. (D)
It states that if quantity a equals quantity b, then a equals b.
the table shows the number of incorrect answers given by nine students on a standardized test which of the following measures would make the number of missed questions appear as a small as possible
Answers
Let's take them one after the other
To calculate the mean:
Mean = 4 +20+ 5 +10+ 21+ 18 +10+ 11+ 16 / 9
Mean= 115/9= 12.7
To calculate the median;
Median: position (n+1)/2=(9+1)/2=5
This implies it is the fiifth value after ordering them from least to gratest
4, 5, 10, 10, 11, 16, 18, 20, 21
The fifth observation is 11, that's the median
Calculate the range;
Range = highest - lowest = 21 - 4 = 17
Mode = bi modal = 10
The answer is the Mode which is 10
The correct option is the last option : Mode
What is 3 divided by 512 ?
Answers
Here 3 is smaller than 512 so we write 0.00 as the quotient.
Now 3000 is divisible by 512.
Substract 2560 from 3000, we get 440
now again 440 is smaller than 512, so we write 0 near 440 we get 4400.
Now 4400 is the dividend.
If we proceed with this division we get
[tex]\frac{3}{512}=0.005859375[/tex]Hence the approximate answer is
[tex]\frac{3}{512}\approx0.01[/tex]As a test engineer, you are in charge of maintaining an experimental aircraft . According to the maintence manual, you need to inspect a wing every 10 flight hours. The aircraft flown 3 flights, each lasting 2.75 hours Since the last inspection. How many hours do you need before the wing should be inspected?
Answers
EXPLANATION
Let's see the facts:
Inspect period = 10 flight hours
Flown= 3 flights/2.75 hours
Total flights hours = 3x2.75 = 8.25 hours
The difference is 10-8.25 = 1.75 hours.
We need 1.75 hours more before the next wing inspection.
Evaluate: 2x – 16y for x = −2 and y = 3
Answers
To evaluate the expression with the given values, we need to substitute them and perform any required calculation.
To do so, we need to remember the following rule:
If we have a multiplication of two numbers with different signals, one of them positive and the other negative, the result will be negative. If the multiplication is made with two numbers with the same signal, both positive or both negative, the result will be positive.
From this, we perform the following calculation:
[tex]\begin{gathered} 2x-16y \\ 2\cdot(-2)-16\cdot(3) \\ -4-48 \\ -52 \end{gathered}[/tex]From the solution developed above, we are able to conclude that the solution is:
- 52You want to put a 4 inch thick layer of topsoil for a new 23 ft by 31 ft garden. The dirt store sells by the cubicyards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
Answers
Remember that
1 ft=12 in
1 yd =36 in
so
The garden is 23 ft by 31 ft
Convert to inches
23 ft=23*12=276 in
31 ft=31*12=372 in
Find out the volume
V=(276)*(372)*(4)
V=410,688 in3
Convert to cubic yards
410,688 in3=410,688*(1/36)^3=8.80 cubic yards
Remember that
The store only sells in increments of 1/4 cubic yards
so
The volume is 9 cubic yardsFind the average rate of change of f(x)=3x^2-8x from x=1 to x=6
Answers
Answer:
The answer is 13
The price of a notebook has risen to $3.35 today. Yesterday's price was $3.10. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answers
The percent of increasing = amount of increasing/original amount x 100%
Since the price of the notebook on one day is $3.10
Since it is increased to $3.35
Then the amount of increasing = 3.35 - 3.10 = 0.25 dollars
Since the original price is 3.10
By using the rule above
[tex]\text{Percent}=\frac{0.25}{3.10}\times100[/tex]The percent of increasing = 8.064516%
Round it to the nearest tenth
The percent of the increase is 8.1%
Hello, can you help me with a Standard deviation question, please?
Answers
To now how many had a score under 66, we have to calculate the following probability
[tex]P(X<66)=P(Z<\frac{66-81}{5})=P(Z<-3)=0.0013[/tex]So the amount of people that had a score under 66 is
[tex]4502\cdot0.0013=5.86\approx6[/tex]So 6 people get a score under 66
The total payroll for a baseball team is 2.44 × 109 dollars, and the total payroll for a football team is 2.9 × 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?
0.46 × 109 dollars
2.8756 × 109 dollars
4.6 × 1011 dollars
2.8756 × 1011 dollars
Answers
Answer: I belive it would be 4.6 x 10^11 dollars. I hope this helps you :)
Step-by-step explanation:
Answer:it would be 4.6x10^11
Step-by-step explanation:
Decompose the fraction 11 /12 towingtwo ways
Answers
Given:-
[tex]\frac{11}{12}[/tex]To find:-
Decompose the fraction in two ways.
Way one,
[tex]\frac{11}{12}=\frac{5}{12}+\frac{6}{12}[/tex]Way two,
[tex]\frac{11}{12}=\frac{10}{24}+\frac{12}{24}[/tex]Generate equivalent expressions using properties of operations. 15-(x•9) what do I need to do
Answers
Given the expression:
15 - (x • 9)
Let's simplify the expression.
To generate an expression equivalent to the given expression, simplify the expression inside the parentheses.
Thus, we have:
[tex]15-9x[/tex]ANSWER:
[tex]15-9x[/tex]
Based on what you've read, decide which of the four basic operations you need to use. Then, solve the problems.
On a trip to Florida, Santina drove 203 miles and Carole drove 189 miles. How many more miles did Santina drive than Carole?
Answers
The basic operation use for the problem is subtraction.
The number of miles Santina drove than Carole is 14 miles.
How to solve problems with basic operations?Basic operations are the building blocks and rules of math.
The basic operations are addition, subtraction, multiplication, and division.
On a trip to Florida. Santina drove 203 miles and Carole drove 189 miles.
The distance in miles Santina drive than Carole is the difference between there distance travelled.
Therefore, the basic operation applied in this problem is subtraction.
Hence, let's solve it as follows:
miles Santina drove than Carole = 203 - 189 = 14 miles
Therefore, Santina drove 14 more miles.
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The basic operation used for the problem will be; subtraction. Santina drove 14 more miles than Carole.
How to solve problems with basic operations?Basic operations are the building blocks and rules of math. The basic operations are addition, subtraction, multiplication, and division.
On a trip to Florida. it is given that Santina drove 203 miles and Carole drove 189 miles.
The distance Santina drives is miles than Carole, which is the difference between their distance traveled.
Thus, the basic operation applied in this problem will be; subtraction.
Hence, let's simplify it as follows:
The miles, Santina drove = 203 - 189 = 14 miles
Therefore, Santina drove 14 more miles than Carole.
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What is the slope of the line that passes through the points (2,8) and (12, 20)? Write your answer in simplest form.
Answers
EXPLANATION
The slope of a line, is given by the next expression:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x_1,y_1) = (2,8) and (x_2,y_2)=(12,20)
Plugging in the values into the expression:
[tex]Slope=\frac{20-8}{12-2}[/tex]Subtracting numbers:
[tex]Slope=\frac{12}{10}[/tex]Simplifying:
[tex]Slope=\frac{6}{5}[/tex]In conclusion, the solution is 6/5
how do I find the slope
Answers
you can find the slope taking two points of a graph or function,
identify the rightmost point and apply this equation
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where (x2,y2) is the rightmost point and (x1,y1) is the other point
If i have two points (3,4) and (6,2)
the rigthmost point is (6,2) because 6 is greater than 3 and these two numbers are x, the place where I can locate myself horizontally or left or right
so, apply the equation
[tex]\begin{gathered} m=\frac{2-4}{6-3} \\ m=\frac{-2}{3} \\ \end{gathered}[/tex]So, the slope is
[tex]-\frac{2}{3}[/tex]3 1/2 berry and pinaple pies
times 2 rasberry pies
Answers
3 1/2 x 2 = 7
HELP PLEASE!!!!!!!!!!! ILL MARK BRAINLIEST
Answers
By the midpoint formula, the real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.
How to find a rational number between two rational numbers
Rational numbers are real numbers of the form m / n, where m and n are integers and n is non-zero. There are more than one choice between the rational numbers - 1 / 3 and - 1 / 2, one option can be found by obtaining the midpoint between the two numbers:
x = (1 / 2) · (- 1 / 3) + (1 / 2) · (- 1 / 2) Given
x = - 1 / 6 - 1 / 4 Multiplication of rational numbers
x = - 4 / 24 - 6 / 24 Modulative, commutative and associative properties / Existence of multiplicative inverse
x = - 10 / 24 Addition of fraction with same denominator
x = - 5 / 12 Simplification / Result
The real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.
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A grocery store sells bags of oranges in two different sizes.The 3-pound bags of oranges cost $4. The 8-pound bags of oranges cost $9. Which oranges cost less per pound? Explain your reasoning
Answers
The per pound cost of the bag of oranges which price is $9 for 8-pounds is less .
In the question ,
it is given that a grocery store sells bags of oranges in two different sizes .
in first bag where 3 pound bags of oranges cost $4 .
So, 1 pound bag of orange will cost = 4/3 = $1.333 .
in the second bag where 8 pounds bags of oranges cost $9 .
So, 1 pound bag of orange will cost 9/8 = $1.125 .
we can see that $1.125 < $1.333 .
hence , the second bag of oranges costs less .
Therefore , the per pound cost of the bag of oranges which price is $9 for 8-pounds is less .
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Is the prime factor of 85 17x5
Answers
Given data:
The given number is 85.
The given number 85 can be expressed in terms of their prime factors as,
[tex]85=5\times17[/tex]Thus, yes 85 can be expressed in terms of their prime factors as 17x5.
Alan bought a new car. The total amount he needs to borrow is $55,498. He plans on
taking out a 5-year loan at an APR of 4.21%. What is the monthly payment?
O $1,027.35
O $1,385.38
O $1,400.34
O $1,100.48
Answers
Answer:
1027.35
Step-by-step explanation:
60 month/55498
If A and B are two random events with probabilities of P(A) = 4/9, P(B) = 2/9, P(A ∩ B) = 1/9, calculate P(B|A).a.1/4b.3/4c. 1/2d.1
Answers
Answer:
A. 1/4.
Explanation:
Given two random events A and B:
[tex]\begin{gathered} P(B|A)=\frac{P(B\cap A)}{P(A)} \\ P(B\cap A)=P(A\cap B) \end{gathered}[/tex]Substitute the given values:
[tex]P(B|A)=\frac{\frac{1}{9}}{\frac{4}{9}}=\frac{1}{9}\div\frac{4}{9}=\frac{1}{9}\times\frac{9}{4}=\frac{1}{4}[/tex]The value of P(B|A) is 1/4.
The scatter plot shows the number of CDs in millions that were sold from 1999 to 2005. Use the points (1999,940) and (2002,805) to find a line of fit for the data. Then use the line of fit to estimate the number of CDs that were sold in 2008
Answers
Based on the given points from the scatter plot on the number of CDs sold in millions, the line of best fit for the data is y = -45x + 90,895
The estimated number of CDs sold in 2008 was 535 CDs.
How to find the line of best fit?The line of best fit will take the form:
y = Slope(x) + y intercept
The value of x will be assumed to be the number of years since 1999.
The slope is:
= Change in y / Change in x
= (805 - 940) / (2002 - 1999)
= -45
The y intercept is:
940 = -45(3) + y
y = 90,895
The line of best fit is:
y = -45x + 90,895
This means that the number of CDs sold in 2008:
= -45(2008) + 90,895
= 535 CDs
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The length of the diagonal of a Rectangle is 14cm,and it forms a 30 degree angle in one corner of the rectangle.What is the area of the rectangle.(A=LxW)Just number 20
Answers
Explanation
Step 1
draw the rectangle
here we have a rigth triangle,then
Let
[tex]\begin{gathered} hypotenuse=14 \\ agle=30\text{ \degree} \\ \text{adjacent side= length= l} \end{gathered}[/tex]so, we need a function that relates those values
[tex]\cos \Theta=\frac{adjacent\text{ side}}{\text{hypotenuse}}[/tex]replace and solve for length
[tex]\begin{gathered} \cos \Theta=\frac{adjacent\text{ side}}{\text{hypotenuse}} \\ \text{hypotenuse}\cdot\cos \Theta=adjacent\text{ side} \\ 14\text{ cm }\cdot\cos 30=l \\ 12.12435\text{ cm=l} \end{gathered}[/tex]Step 2
width
similarity, we need a function that relates
[tex]\sin \text{ }\Theta=\frac{opposite\text{ side}}{\text{hypotenuse}}[/tex]let
[tex]\text{opposite side= width=w}[/tex]replace and solve for w
[tex]\begin{gathered} \sin \text{ }\Theta=\frac{opposite\text{ side}}{\text{hypotenuse}} \\ \text{hypotenuse}\cdot\sin \Theta=opposite\text{ side} \\ 14\text{ cm }\cdot\sin \text{ 30=w} \\ 7cm=w \end{gathered}[/tex]Step 3
finally, the area of a rectangle is given by
[tex]\begin{gathered} \text{Area}=\text{ length }\cdot width \\ \text{replacing} \\ \text{Area}=(12.12\cdot7)(cm^2) \\ \text{Area}=84.87(cm^2) \end{gathered}[/tex]therefore, the answer is
[tex]\text{Area}=84.87(cm^2)[/tex]I hope this helps you
which of the following statements is correct?A XYZ ~ wvz by AA similarityB XYZ ~ WVZ by SAS similarityC XYZ ~ WVZ by SSS similarityD XYZ and WVZ are not similar
Answers
We have two triangles, XYZ and WVZ.
They shared the vertex Z, formed by the intersection of two lines, XW and VY.
Also, XY and VW are parallel.
Then, we have a pair of congruent angles at vertex Z, as they are vertical angles.
We also have another pair of congruent angles: V and Y, because they are alternate interior angles between parallel lines.
Then, as we have two pair of congruent angles, the third pair of angles have to be congruent too, as the measures of the interior angles of a triangle always add 180°.
Then, if we have 3 pair of congruent angles, we have similar triangles.
We can not say anything about congruent sides because we don't know any relation or proportion between them, so the other postulates, SAS or SSS, can not be used.
Answer: XYZ ~ WVZ by AA similarity (Option A)
16 1 point
Triangle congruence SSS is being shown?
True
False
|||
+||
Answers
Answer:
True
Step-by-step explanation:
SSS is being shown because the two sides are known by congruence marks, and the third side is known because it is equal--the two triangles are sharing it.
On the last day of his summer tennis camp, Zach helps his instructor sort through a basket of tennis balls to throw out the old ones. Zach ends up throwing away 13 of the balls. He returns the remaining 42 balls to the basket. Which equation can you use to find the total number of tennis balls t Zach checks?
Answers
The equation that represents the total tennis balls is t = 13 + 42 and the value is 55
How to determine the equation that represents the total tennis balls?From the question, the given parameters are
Total number of tennis ball = tNumber of tennis ball thrown away = 13Number of tennis ball returned = 42The total number of tennis ball is the sum of the number of tennis ball thrown away and the number of tennis ball returned
Mathematically, this is represented as
Total number of tennis ball = Number of tennis ball thrown away + Number of tennis ball returned
Substitute the known values in the above equation
So, we have the following equation
t = 13 + 42
Evaluate the sum
t = 55
Hence, the equation of the tennis ball is t = 13 + 42
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HELPPPP ME PLEASE I NEED TO KNOW THE ANDWER ASAP
Answers
Given the figure in the attached image.
The polygon has 4 sides, and all the four sides are equal.
but the four angles are not given to be equal.
Therefore, the polygon shown in the figure is a Rhombus
Can you please help me
Answers
From the question,
[tex]\begin{gathered} m\angle AFE=m\angle BFC\text{ (Vertically opposite angles)} \\ \therefore \\ m\angle AFE=70^{\circ} \end{gathered}[/tex]We also have
[tex]m\angle AFB=m\angle EFC\text{ (Vertically opposite angl}es)[/tex]Remember that the sum of angles at a point equals 360°. Therefore
[tex]\begin{gathered} m\angle AFB+m\angle BFC+m\angle CFE+m\angle AFE=360 \\ \therefore we\text{ have} \\ 2(m\angle AFB)+2(70)=360 \\ 2(m\angle AFB)=360-140=220 \\ m\angle AFB=\frac{220}{2}=110 \end{gathered}[/tex]Therefore, m(AB) is 110°.
Hence, OPTION B is correct.