The requried, Devon needs to score between 46% and 95% on the fifth test to receive a final grade of a B in the course.
To find the range of grades Devon needs on the fifth test to receive a final grade of a B (between 80% and 90% inclusive), we need to consider the average of all five tests.
Let's denote the grade on the fifth test as "x" (in percentage).
The average of the five tests will be:
Average = (92% + 82% + 88% + 92% + x) / 5
To achieve a final grade of a B, the average must be greater than or equal to 80% but less than 90%:
80% ≤ Average < 90%
Now, substitute the given grades and the variable "x" into the average equation:
(92% + 82% + 88% + 92% + x) / 5 ≥ 80%
(92 + 82 + 88 + 92 + x) / 5 ≥ 80
(354 + x) / 5 ≥ 80
354 + x ≥ 400
x ≥ 400 - 354
x ≥ 46
Now, for the upper limit:
(92 + 82 + 88 + 92 + x) / 5 < 90
(354 + x) / 5 < 90
354 + x < 450
x < 450 - 354
x < 96
So, Devon needs to score between 46% and 95% on the fifth test to receive a final grade of a B in the course.
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Devon must score between 46% and 91% on his fifth test to achieve a B average in the course.
Explanation:To determine the range of grades on the fifth test that would give Devon a final grade of B, we need to calculate the average of the five test scores. For an average to fall between 80% and 90%, the total sum of the five test grades must be between 400% and 449%, since 5 tests × 80% = 400% and 5 tests × 89% (just below 90%) = 445%. Devon's current grades add up to 92% + 82% + 88% + 92% = 354%. Therefore, to achieve a B, his fifth test score needs to be between 400% - 354% = 46% and 445% - 354% = 91%.
Suppose a number from 1 to 100 is selected at random. what is the probability that a multiple of 4 or 5 is chosen?
The probability that a multiple of 4 or 5 is chosen is 2/5.
The range 1-100 is 100 numbers, divide by 4 and 5 to find the number of multiples.
100/4 = 25
100/5 = 20
The probability of choosing a multiple of 4
25/100 = 1/4
The probability of choosing a multiple of 5
20/100 = 1/5
The probabilities are not mutually exclusive because there are duplicate numbers, (overlap) multiples of both 4 and 5 being counted twice.
5/100 = 1/20
20, 40, 60, 80, 100
When or is used, add the probabilities, and subtract the duplicates.
1/4 + 15 - 1/20
=5/20 + 4/20 - 1/20
= 8/20
= 2/5
The probability that a multiple of 4 or 5 is chosen is 2/5.
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What is the best first step for solving the given system using substitution while avoiding fractions?
2x+6y=7
6x+18y=24
a. Solve for x in the first equation.
b. Solve for y in the first equation.
c. Solve for x in the second equation.
d. Solve for y in the second equation.
Which fraction represents the decimal .12 repeating
The answer is c.) 4/33
Convert the equation (y + 2) = –1/3(x – 4) to the point-slope form. Then fill in the blanks below to describe how to graph the equation.
Plot the point _______, move _______ unit(s) down, and _______ unit(s) over to find the next point on the line.
Jamir spent $15 on Halloween candy. If each bag of candy costs $2.50, how many bags of candy did he buy?
To find out how many bags of candy Jamir bought with $15, divide the total spent by the cost per bag, which is $2.50. This calculation is similar to finding total spend on fruits by multiplying the quantity by price per unit. Jamir was able to buy 6 bags of candy.
Explanation:To answer the question of how many bags of candy Jamir bought, we need to perform a basic division operation.
The total amount Jamir spent on Halloween candy is $15, and he purchased each bag for $2.50.
Therefore, to find the total number of bags of candy that Jamir bought, we divide the total amount spent by the cost per bag.
Drawing a comparison to similar calculations, if we look at other examples such as spending on fruits, we can see a consistent method of calculation:
10 apples at 50 cents each results in $5.00 spent on apples.
12 bananas at 20 cents each gives us a total of $2.40 spent on bananas.
Similarly, 2 bunches of grapes at 65 cents per bunch would equal a spend of $1.30.
Lastly, if we purchase 1 pint of raspberries at $2 each, we spend $2.00 on raspberries.
The same concept applies to Jamir's Halloween candy purchase. By dividing $15 by $2.50, we get the number of bags he was able to buy, which is 6 bags of candy.
Therefore, Jamir bought 6 bags of Halloween candy with his $15.
Final answer:
Jamir was able to buy 6 bags of Halloween candy for $15, given each bag's price of $2.50.
Explanation:
Jamir spent $15 on Halloween candy, with each bag costing $2.50. To find out how many bags of candy Jamir could buy, we divide the total amount spent by the cost per bag of candy.
The calculation would be as follows:
Divide the total amount spent, $15, by the cost per bag, $2.50.
$15 ÷ $2.50 = 6.
Therefore, Jamir bought 6 bags of Halloween candy.
The north american and european continents are moving apart at a rate of about 3 cm/y. at this rate how long will it take them to drift 500 km farther apart than they are at present?
The North American and European continents will take approximately 166,667 years to drift 500 km farther apart than they are at present.
Explanation:The North American and European continents are moving apart at a rate of about 3 cm/y. To determine how long it will take for them to drift 500 km farther apart than they are at present, we can use the formula:
Time = Distance / Rate
First, we need to convert the distance from kilometers to centimeters. There are 100,000 centimeters in 1 kilometer, so 500 km is equal to 500,000 cm.
Using the formula, the time it will take is:
Calculating this, we find that it will take approximately 166,667 years for the continents to drift 500 km farther apart than they are at present.
Is this a function?
There are 4 teams in a basketball league. Each team plays each of the other teams three times. How many games are played?
each team plays 9 games
( Team 1 plays team 2 3 times, team 3 3 times, team 4 3 times )
9 x 4 = 36 games total
To which set of numbers does the number -12 belong?
How many different 7-place license plates are possible if the first 3 places are to be occupied by letters?
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.
Answer:
It's option
A) the term...
C) after multiplying
D) the parentheses
Step-by-step explanation:
EDG2021
Jon places a dot on a coordinate plane at (-10, -4). He wants to place another dot across the y axis, and it must be 14 points away. Where will Jon place the other dot?
The coordinates of the other dot across the y-axis will be located at (4,-4).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
Since the first value corresponds to the horizontal x-coordinate and the second to the vertical y-coordinate, moving horizontally across the y-axis is the result. As a result, you need to multiply the x-coordinate by 14. Since the direction of your first x-coordinate, -10, is positive, you must add. the solution is (4,-4).
Thus, the coordinates of another dot across the y-axis will be located at (4,-4).
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Two angles of a triangle have the same measure and the third one is 39 degrees greater than the measure of each of the other two. find the measure of the largest angle in the triangle.
Answer:
Step-by-step explanation:
By the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180. If two of the angles are the same, then we will call them x. The third one is 39 more than the measure of each of the other angles, so the third angle measures x + 39. In equation form,
x + x + x + 39 = 180 and
3x + 39 = 180 and
3x = 141 so
x = 47
That means that the largest angle measures 47 + 39 which is 86
Which expression represents the phrase "half the sum of 10 and a number"
i know this is very late but for future people its
1/2 (10 + x)
A science teacher needs to choose 4 students from a class of 20 to go to the library to do some research. How many different groups can he select?
The number of groups the science teacher can make is 5.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The total number of students is 20.
And, the number of students in one group is 4.
Now, the number of groups can be found using the following operation as,
Number of group = Total students ÷ Number for each group
⇒ 20 ÷ 4 = 5.
Hence, the total number of groups can be obtained as 5.
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HELP PLEASE The Appalachian Mountains had what effect on the people of the thirteen original colonies? A) they acted as a barrier to further settlement to the west B) they provided protection to the colonists from invading Indians C) they provided protection to the colonists from Spanish conquistadors D) animals lived there and were an important food source to major cities in the East
the answer is...
1. Find a counterexample.
If two angles are complementary, then they are not congruent.
p: If two out of five people use the subway every day, then the probability of a person using the subway is 0.4.
2 divided by 5 = 0.4
so that statement is true.
PLEASE HELP?
Caitlin Grasso is a salesperson in the kitchen and bath department at Morris Supplies, Inc. She makes 5.5% straight commission on her total sales. What were her total week's sales, if her gross pay was $560?
A. $10,741.82
B. $3,640.00
C. $3,080.00
D. $10,181.82
Answer:
D
Step-by-step explanation:
If her pay is $560, her sales is "something" whose 5.5% is 560.
We can setup the equation below and solve (let total sales be [tex]s[/tex]):
[tex](0.055)(s)=560\\0.055s=560\\s=\frac{560}{0.055}\\s=10,181.82[/tex]
Answer choice D is right.
Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. the boat sold for how much?
What is the length of HN
hn is half the total length
38/2 = 19
Which one of the following statements is NOT true of a free-falling object? An object in a state of free fall ____.
falls with a constant speed of -10 m/s.
falls with a acceleration of -10 m/s/s
falls under the sole influence of gravity
falls with downward acceleration which has a constant magnitude
The statement which is NOT true among the given options is the first option - falls with a constant speed of -10 m/s.
In order to the determine which of the statements is NOT true, we will study each of the options one after the other.
For the first option - "falls with a constant speed of -10 m/s"When an object is in a state of free fall, the speed is not constant. The speed actually increases as it moves closer to the ground.
∴ The first option is NOT true
For the second option - "falls with a acceleration of -10 m/s/s"An object that is falling freely, falls under the influence of gravity. Acceleration due to gravity is approximately 10 m/s/s (10m/s²).
Therefore, an object in a state of free fall, falls with an acceleration of -10 m/s/s (The negative sign indicates deceleration, because the object is moving towards the ground).
∴The second option is true
For the third option - falls under the sole influence of gravityAs stated earlier, an object in a state of free fall, falls under the influence of gravity.
∴ The third option is true
For the fourth option - "falls with downward acceleration which has a constant magnitude"
As stated earlier, an object in a state of free fall, falls under the influence of gravity and acceleration due to gravity is approximately 10 m/s/s (10m/s²). This value is constant.
∴ The fourth option is true
Hence, the statement which is NOT true among the given options is the first option, falls with a constant speed of -10 m/s
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I flip a fair coin four times what is the probability that i get more heads than tails
Which diagram shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane?
The third image contains the labels (a,b), (c,d), (-a,b), and (-c,d).
The diagram that shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane is the first figure.
Because it tells you the lengths of the trapezoid's bases and height.
For example, the base lengths are as follows:
a - (-a) = a + a = 2a
c - (- c) = c + c = 2c
height: b-d
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The third image contains the labels (a,b), (c,d), (-a,b), and (-c,d).
An isosceles trapezoid is a type of trapezoid (a quadrilateral with at least one pair of parallel sides) where the non-parallel sides are congruent (have the same length). The base angles, formed by the intersection of the non-parallel sides and the parallel sides, are also congruent in an isosceles trapezoid.
The diagram that shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane is the first figure.
Because it tells you the lengths of the trapezoid's bases and height.
For example, the base lengths are as follows:
a - (-a) = a + a = 2a
c - (- c) = c + c = 2c
height: b-d
Logan has a change jar that contains only pennies and nickels. he has 64 coins which add up to a total of $1.52. how many of each type of coin does he have?
I need help with number 8,please.
Convert 9.46 x 10^12 to expanded form
You are ordering a hamburger and can get up to 8 toppings, but each topping can only be used once. you tell the cashier to surprise you with the toppings you get. what is the probability that you get 2 toppings? express your answer as a fraction or a decimal number rounded to four decimal places.
The probability of getting 2 toppings on the hamburger is 1/28 or approximately 0.0357.
Explanation:To calculate the probability of getting exactly 2 toppings on your hamburger, we need to consider the total number of possible combinations of toppings and the number of ways to choose 2 toppings out of those combinations.
There are 8 toppings in total, so the total number of possible combinations is 8 choose 2, which is calculated as 8! / (2! * (8-2)!), or 28.
Since you want exactly 2 toppings, the probability is the number of ways to choose 2 toppings out of the total combinations divided by the total number of possible combinations, which is 1/28 or approximately 0.0357 (rounded to four decimal places).
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What did the math teacher say after spending 8 hours in the ice and snow worksheet answer key?
Dan has a flower shop. Each day he displays 24 roses. He gives away 10 and sells the rest. Each day he displays 36 carnations. He gives away 12 and sells the rest. What expression can you use to find out how many roses and carnations Dan sells in in a week.
evaluate the expression to find out how many roses and carnations dan sells in a week