sara wonders what percentage of her students answered at least half of the quiz questions incorrectly. the relative cumulative frequency of students who earned a score of 21 or higher on the quiz is .
To determine the percentage of Sara's students who answered at least half of the quiz questions incorrectly, we need more information than the relative cumulative frequency of students who earned a score of 21 or higher.
The cumulative frequency only tells us the percentage of students who scored 21 or higher, but not the percentage who answered at least half of the questions incorrectly.To calculate the percentage of students who answered at least half of the quiz questions incorrectly, we would need additional data such as the scores or the number of questions on the quiz. Without that information, it is not possible to determine the exact percentage.If we had the scores or the number of questions, we could calculate the percentage by subtracting the cumulative frequency from 100%. However, with the given information alone, we cannot determine the percentage of students who answered at least half of the quiz questions incorrectly.For such more question on frequency
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9m^2-4n+12 factor out gcf
Answer: 9m^2 - 4n + 12
Step-by-step explanation:
To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, we need to find the largest common factor of all the terms.
Let's examine each term individually:
9m^2: The only common factor between 9 and m^2 is 1.
-4n: The only common factor between -4 and n is 1.
12: The factors of 12 are 1, 2, 3, 4, 6, and 12. However, there is no common factor between 12 and the other terms.
Since there is no common factor other than 1, we cannot factor out anything more significant than 1. Therefore, the factored form of the expression 9m^2 - 4n + 12 is simply the original expression itself:
To factor out the greatest common factor (GCF) from the expression 9m^2 - 4n + 12, let's first identify the GCF of the coefficients. In this case, the GCF of 9, -4, and 12 is 1 since there is no common factor greater than 1.
Next, we'll factor out the GCF from each term:
9m^2 = (9)(m^2)
-4n = (-4)(n)
12 = (12)(1)
Now we can rewrite the expression factoring out the GCF:
9m^2 - 4n + 12 = (1)(9m^2) + (1)(-4n) + (1)(12)
Simplifying this, we get:
9m^2 - 4n + 12 = 9m^2 - 4n + 12
Since there is no common factor other than 1, the expression cannot be further factored.
You plan to invest $10,000 in two funds paying 4.5% and 5% simple interest. (There is more risk in the 5% fund.) Your goal is to obtain a total annual interest income of $480 from the investments. What is the smallest amount you can invest in the 5% fund and still meet your objective?
Answer:
$6000
Step-by-step explanation:
Given the following :
Total planned amount to invest = 10,000 in two funds:
Fund A at rates 4.5% and
Fund B at 5% simple interest
Total Annual Interest should be = 480
What is the smallest amount you can invest in the 5% fund and still meet your objective?
Let ;
Investment in fund A = principal = a at 4.5%(0.045)
Investment in fund B = principal = (10000 - a) at 5%(0.05)
Simple interest = principal * rate * time
a + (10000 - a) = 10000
(a * 0.045) + (10000 - a) * 0.05 = 480
0.045a + 500 - 0.05a = 480
-0.005a = 480 - 500
-0.005a = - 20
a = 20 / 0.005
a = 4000
4000 at 4.5%
Investment in fund B = principal = (10000 - a)
(10,000 - 4000) = 6000
Write y-2=1/2(x+1) in slope intercept form
Answer:
m=1/2
Step-by-step explanation:
1. (5x² - 6x +2)+(9x + 10x - 7) -
what is the answer?
Answer:
Step-by-step explanation:
the way it is written, the answer is
5x^2 - 6x + 2 + 19x - 7
5x^2 + 13x - 5 is the answer.
However I suspect you mean
5x^2 - 6x + 2 + 9x^2 + 10x - 7
14x^2 + 3x - 5 is the answer if the revision I've made is correct.
Which expression is equivalent to 3/256x10y?
0 4x²y
4xy?(/4xy)
16x?y? (VW)
16xy (39)
please help !
Answer:
[tex] 4 {x}^{3} {y}^{2} \sqrt[3]{4xy}[/tex]
Step-by-step explanation:
[tex] \sqrt[3]{256 {x}^{10} {y}^{7} } \\ \\ = \sqrt[3]{( {4)}^{4} {(x)}^{9} \times x \times {(y)}^{6} \times y } \\ \\ = \sqrt[3]{ {4}^{3} \times 4 \times ({x}^{3})^{3} \times x \times ({y}^{2})^{3} \times y} \\ \\ = 4 \times {x}^{3} \times {y}^{2} \sqrt[3]{4 \times x \times y} \\ \\ \huge \red{ \boxed{ = 4 {x}^{3} {y}^{2} \sqrt[3]{4xy} }}[/tex]
PS Of the 22 fast-food businesses in a small city, the numbers that have a drive-up window, outside seating, or delivery Page 58 service are summarized as follows: 7 have delivery service: IS have outside seating: 13 have a driveup window, 9 have a drive- up window and outside seating; 3 have outside seating and delivery service: 3 have delivery service and a drive-up window; and 2 have all three services. How many of these businesses have only a drive-up window?
There are 4 fast-food businesses in this small city that have only a drive-up window.
To determine the number of fast-food businesses that have only a drive-up window, we need to subtract the businesses that have a drive-up window and other services from the total number of businesses with a drive-up window.
According to the given information:
Total number of fast-food businesses = 22
Number of businesses with delivery service (D) = 7
Number of businesses with outside seating (O) = 13
Number of businesses with a drive-up window (W) = 13
Number of businesses with both a drive-up window and outside seating (W ∩ O) = 9
Number of businesses with both outside seating and delivery service (O ∩ D) = 3
Number of businesses with both delivery service and a drive-up window (D ∩ W) = 3
Number of businesses with all three services (D ∩ O ∩ W) = 2
To find the number of businesses with only a drive-up window:
Number of businesses with only a drive-up window = Number of businesses with a drive-up window (W) - Number of businesses with both outside seating and a drive-up window (W ∩ O)
Number of businesses with only a drive-up window = 13 - 9 = 4
Therefore, there are 4 fast-food businesses in this small city that have only a drive-up window.
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Find the area under the normal curve up to z=0.36; that is, find P(Z≤0.36) give your answer as a probabilay rounded to two decimal places, so in the format 0.XX.
The area under the normal curve up to z = 0.36 is P(Z ≤ 0.36) and is equal to 0.64. To find the value of P(Z ≤ 0.36), the standard normal distribution table is used. We can find the value by looking up the closest z-value on the standard normal distribution table.
The value of 0.36 is not exactly found in the table, however, the closest value to it is 0.35. Using the standard normal distribution table, the area to the left of z = 0.35 is 0.6368. Since we need to find P(Z ≤ 0.36), this area needs to be added to the area from 0.36 to 0.35, which is 0.0032. Adding the two values will give us the answer: 0.6368 + 0.0032 = 0.64.Therefore, the area under the normal curve up to z = 0.36 is P(Z ≤ 0.36) and is equal to 0.64. In order to find the area under the normal curve up to z = 0.36, we need to find the value of P(Z ≤ 0.36), which is the probability of a standard normal variable taking a value less than or equal to 0.36. To find this probability, we use the standard normal distribution table, which provides the area to the left of a given z-value.The standard normal distribution table is usually presented in the form of a table that gives the area to the left of a given z-value. For example, if we want to find the area to the left of z = 1.96, we look up the value 1.9 in the first column and the value 0.06 in the second column. We then add these two values to get the area to the left of z = 1.96, which is 0.9750. Similarly, we can find the area to the left of any other z-value by using the standard normal distribution table.To find the area under the normal curve up to z = 0.36, we first need to find the closest value to 0.36 in the standard normal distribution table. In this case, the closest value is 0.35. We then look up the area to the left of z = 0.35 in the standard normal distribution table, which is 0.6368. Since we need to find the area to the left of z = 0.36, we need to add the area from 0.35 to 0.36, which is 0.0032. Adding these two values gives us the area under the normal curve up to z = 0.36, which is 0.6368 + 0.0032 = 0.64.
The area under the normal curve up to z = 0.36 is P(Z ≤ 0.36) and is equal to 0.64. This means that the probability of a standard normal variable taking a value less than or equal to 0.36 is 0.64. To find this probability, we used the standard normal distribution table, which provides the area to the left of a given z-value. We found the area to the left of z = 0.35, which is the closest value to 0.36 in the standard normal distribution table. We then added the area from 0.35 to 0.36 to get the area under the normal curve up to z = 0.36, which is 0.64.
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What is the smallest number divisible by 2 and 5?
Answer:
10 is the answer
Step-by-step explanation:
Beacause 2 * 5 =10
and 5*2=10
answer
10,20,30,40,by adding 10number etc.....
work for brainlee extra pointsalso
The heights, in inches, of the 11 basketball players on a
team are shown on this stem-and-leaf plot.
Team Heights
5 3
6 99
7 3 5 6 7 8 9
8 04
Key
412 = 42 inches
Which height, in inches, is an outlier for this data?
Select one:
Answer:
i think is 6 99 hope this helps you
(a) Find the probability that a randomly selected study participant's response was less than 4. The probability that a randomly selected study participant's response was less than 4 is 0.3563" (Round to four decimal places as needed.) (b) Find the probability that a randomly selected study participant's response was between 4 and 6. The probability that a randomly selected study participant's response was between 4 and 6 is 0.3968" (Round to four decimal places as needed.) c) Find the probability that a randomly selected study participant's response was more than 8. The probability that a randomly selected study participant's response was more than 8 is 0,0412(Round to four decimal places as needed.) (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. A. The event in part(e) is unusual because its probability is less than 0.05. B. The event in part (a) is unusual because its probability is less than 0.05. C. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. D. None of the events are unusual because all the probabilities are greater than 0.05.
The probability of an event is less than 0.05, it is classified as an unusual event. In this case, the events in parts (a) and (b) are less likely to occur than the other events.
The probability that a randomly selected study participant's response was less than 4 is 0.3563.
The probability that a randomly selected study participant's response was between 4 and 6 is 0.3968.
The probability that a randomly selected study participant's response was more than 8 is 0.0412.
Unusual events are not considered standard events. They are classified as unusual if they occur infrequently. The probability of an event is a number between 0 and 1. If an event has a low probability of occurring, it is considered unusual.
Based on the given probabilities, the answer is (C) The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. The events are deemed unusual since they have a low probability of occurring. They are less likely to occur.
Therefore, the probability of the event in part (a) is less than 0.05. The probability of the event in part (b) is less than 0.05.
In conclusion, when the probability of an event is less than 0.05, it is classified as an unusual event. In this case, the events in parts (a) and (b) are less likely to occur than the other events.
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Simplify each algebraic expression. Drag the tiles to the correct boxes to complete the pairs.
Answer:
1. 5x-2
2. 5x+ 2
3. -5x-2
4. -5x+2
Answer:
1. 5x-2
2. 5x+ 2
3. -5x-2
4. -5x+2
Is 1 5/8 greater than, less than, or equal to 1.6?
Answer:
[tex]1 \frac{5}{8} > 1.6[/tex]
Step-by-step explanation:
[tex]1 \frac{5}{8} \: ... \: 1.6[/tex]
[tex] \frac{1 \times 8 + 5}{8} \: ... \: 1.6[/tex]
[tex] \frac{8 + 5}{8} \: ... \: 1.6[/tex]
[tex] \frac{13}{8} \: ... \: 1.6[/tex]
[tex] \frac{13}{8} \: ... \: \frac{16}{10} [/tex]
[tex] \frac{13 \times 5}{8 \times 5} \: ... \: \frac{16 \times 4}{10 \times 4} [/tex]
[tex] \frac{65}{40} \: ... \: \frac{64}{40} [/tex]
[tex] \frac{65}{40} > \frac{64}{40} [/tex]
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We can conclude that 1.625 is greater than 1.6 (1.625 > 1.6).
What do we mean by greater and less than?To compare numbers and expressions, use the greater than and less than symbols. The sign for more than is >. In other words, 9>7 means "9 is bigger than 7." The symbol for less than is. The comparative terms "greater than" and "equal to" are two more (less than or equal to). Imagine the larger than and less than signs as little alligators (or crocodiles), with the numbers on either side standing in for a number of fish, to help you remember them. Whatever number the alligator's mouth is open toward is the larger number because it always prefers to devour more fish.So, to know that if 1⅝ > 1.6, calculate as follows:
1⅝8+5/813/81.625Then: 1.625 > 1.6
Therefore, we can conclude that 1.625 is greater than 1.6 (1.625 > 1.6).
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Please help I’m in argent need for answer this is due in 1 hour and I still have 20 pages after this please someone
Answer:
1.
a. 4 less than 3 times a number
2.
d. 2 more than the opposite of 2 times a number
3.
d. n+2
4.
a. 6x + 2=14
Step-by-step explanation:
What is the difference between -10 and five on a number line
Answer:
-5
Step-by-step explanation:
the answer, please give brainliest if u can
Given the points A( 7, 15) and B(5,9) find the midpoint of Segment AB. *
Answer: (6,12)
Steps: The midpoint of (7, 15) and (5,9) is (6,12)
Plz mark brainliest:)
A rectangle that is 2 inches by 3 inches has been scaled by a factor of 4.
_____ inches by _____ inches
Suppose you want to scale the copy back to its original size. What scale factor should you use?
Answer:
2 inches by 4 inches
Step-by-step explanation:
8 tomatoes for $2 as a unit rate
answer:
4 is correct!
explanation:
hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
Answer:
16$?
Step-by-step explanation:
8*2 = 16
If not pls specify question
the square of the number equals nine times that number. what is the number?
Answer:
x^2 = 9x
x^2 - 9x = 0
x(x-9) = 0
x=0 or x=9
Step-by-step explanation:
The number is 9.
Translate the statement into an equation, then solve for the unknown number.
Let the unknown number be represented as x.
Thus:
square of the number can be translated as [tex]x^{2}[/tex]
[tex]9 \times $ the $ number = 9x[/tex]
Therefore:
[tex]x^{2} = 9x[/tex]
Solve for x
[tex]x^{2} - 9x = 0[/tex]
Factorize
[tex]x(x - 9) = 0\\x = 0 $ or \\x - 9 = 0\\x = 9[/tex]
The unknown number cannot be 0, therefore, the number is 9.
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What is the value of the expression below when y = 8
8y - 4
Answer:
60
Step-by-step explanation:
y=8
8(8)-4
64-4
60
Given h(x) = 5x + 1, find h(2)
Answer:
11
Step-by-step explanation:
answer is just is 11
Nogan Airport has three runways. The airport dedicates two runways to serve departing flights and one
runway to serve arriving flights. If used for departure, a runway can serve 10 flights per hour; if used for
arrival, a runway can serve 15 flights per hour. The time it takes for a plane to use a runway (either to
depart or to land) is exponentially distributed.
The flight schedule in the morning is as follows. The time between two consecutive departing flights is
exactly 5 minutes. The time between two consecutive arriving requests is exponentially distributed,
with an average of 10 minutes. When an arriving flight approaches the airport, it radios the control
tower and requests permission to land. The air traffic controller responds instantly by assigning the
plane a position in queue on a first-come-first-serve basis.
(a) On average, how much time elapses between a plane’s radioing of the control tower and its eventual
completion of the entire arriving process in the morning? (1 point)
On average, it takes approximately 14 minutes for a plane to complete the entire arriving process, from radioing the control tower to landing on the runway, in the morning at Nogan Airport.
To determine the average time that elapses between a plane radioing the control tower and its completion of the entire arriving process in the morning, we need to consider the different steps involved in the process.
Radioing the control tower: The time between two consecutive arriving requests follows an exponential distribution with an average of 10 minutes. Hence, on average, it takes 10 minutes for a plane to radio the control tower after the previous plane.
Assigning position in queue: The air traffic controller assigns the plane a position in the queue on a first-come-first-serve basis, implying that there is no additional delay for this step.
Landing on the runway: Once the plane reaches the front of the queue, it lands on the runway. The time it takes for a plane to use a runway, either for landing or departing, follows an exponentially distributed process.
Since the runway dedicated to arrival can serve 15 flights per hour, the average time it takes for a plane to complete the landing process is 1/15 hour, or 4 minutes.
Considering these steps, the average time that elapses between a plane radioing the control tower and completing the entire arriving process in the morning can be calculated as follows:
Average time = Time to radio the control tower + Time to land on the runway
= 10 minutes + 4 minutes
= 14 minutes
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Consider the following polynomial expression: 4x^5-16x^2+13x^8. Part A: Write the polynomial expression in standard form.
Answer:
13x^8 + 4x^5 - 16x^2
Step-by-step explanation:
Standard form is just rearranging each group of numbers so that the group with the most exponents on the variables is at the beginning. So it's basically least to greatest but with exponents. Hope this helped!
Sarah measured her square garden to have an area of 122 ft 2 . How long is one side of Sarah’s garden?
Answer:
30.5 ft squared
Step-by-step explanation:
First, find the area and shape. If it is a square then you want to divide by four since all sides are equal. So divide 122 by 4 and you get the answer.
If you need more help or explanation, follow up in the comments below. :Phelpp will try to mark brainliest
-1=x+6-6
Answer:
x = -1
Step-by-step explanation:
-1 = x+6-6
Combine like terms
-1 = x
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
−1=x+6−6
Step 1: Simplify both sides of the equation.
−1=x+6−6
−1=x+6+−6
−1=(x)+(6+−6) (Combine Like Terms)
−1=x
−1=x
Step 2: Flip the equation.
x=−1
A theater has 10 rows of seats with 8 seats in each row. If 28 people are seated how many are empty
Answer:
Dude, this is basic math. Imma let you figure it out.
Step-by-step explanation:
10*8=x x-28=answer not that hard bub
Mr. Jones is driving a truck at a constant speed. The graph below shows the distance traveled, in miles, with respect to the number of
hours traveled.
Distance Traveled
250
225
200
175
150
Distance (miles)
125
100
75
50
25
0
2
8
9
10
3 4 5 6 7
Number of Hours
What does the origin represent for this graph?
OIn one hour, he travels 50 miles.
OIn zero hours, he travels zero miles.
OIn zero hours, he travels 25 miles.
OIn five hours, he travels 250 miles.
Answer:In zero hours, he travels zero miles
Step-by-step explanation:
Just did it on edmentum and it’s correct
Answer:
In zero hours, he travels zero miles.
Step-by-step explanation:
Since the y-axis represents the distance traveled, in miles, and the x-axis represents the number of hours traveled, the origin, (0,0), represents the fact that in zero hours, he travels zero miles.
Can someone help with this? (:
[tex] - 30[/tex]
Step-by-step explanation:
[tex]x = 10[/tex]
[tex]20 - 5x[/tex]
[tex] = 20 - 5 \: . \: 10[/tex]
[tex] = 20 - 50[/tex]
[tex] = - 30[/tex]
A large tree casts a shadow of 42 m. At the same time, a 4 m high fence, standing vertically, casts a shadow of 7 m. Find h, the height of
the tree.
Answer:
73.5m
Step-by-step explanation:
4m fence casted a 7m high shadow 7/4 = 1.75, 42 x 1.75 = 73.5
