one of the students taking the course is pressed for time and can prepare for only 9 of the 10 questions on the list. then the probability of all 5 questions prepared for appears is 2
Recall : nCr = n! ÷ (n-r)!r!
The total possible outcome ; 5 questions out of 10
10C5 = 10! ÷ 5!5! = (10*9*8*7*6)÷(5*4*3*2*1) = 252
Required outcome :
All 5 questions set being from the 9 questions covered and 0 from the 1
left uncovered
9C5 * 1C0
9C5 = 9! ÷ 4!5! = (9*8*7*6) ÷ (4*3*2*1) = 126
1C0 = 1! ÷ 1!0! = 1
Probability = required outcome / Total possible outcomes
P(All 5 questions prepared for appears) :
[9C5 * 1C0] ÷ 10C5
(126 * 1) / 252
= 126/ 252
=2
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Help me with this rq, I’ll mark you brainlyiest
Answer: Hi this is neither.
R is directly proportional to T. If R = 60 when T = 10, Calculate the value of T when R = 54
Answer:
T=9
Step-by-step explanation:
if R is proportional to T
[tex] t = rk [/tex]
Where k is a constant
[tex]10 = 60k[/tex]
[tex]k = \frac{1}{6} [/tex]
Therefore,
[tex]54 \times \frac{1}{6} = t[/tex]
[tex]t = 9[/tex]
Solve 7x 8 = 3x
x = …
please
Look at the two histograms below. They give you information about the heights of players on two basketball teams, the Tigers and the Panthers. Use the histograms to answer the following questions.
The most appropriate choice for histogram will be given by-
a) Team tigers has taller players than team panthers
Team panthers has shorter players than team tigers.
b) team tigers have height that vary more.
c) So team panthers have more players about the same height.
What is histogram?
Histogram is a type of bar graph which makes use of the range of classes in the horizontal x axis and the frequency of classes in the vertical y axis.
Here,
a) The bars in the histogram of team tigers are relatively taller than the bars in the histogram of team panthers. So, team tigers has taller players than team panthers.
The bars in the histogram of team panthers are relatively shorter than the bars in the histogram of team tigers. So, team panthers has shorter players than team tigers.
b) For team tigers, there are no players between 66-69 inches height and, two players between 69-72 inches height and five players between 72-75 inches height. So fluctuations between the heights of two consecutive bars for team tigers is more.
For team panthers, it can be seen that the fluctuation between the heights of heights of two consecutive bars is not that much.
So team tigers have height that vary more.
c) In team panthers, there are one player in 63-66 inches and 69-72 inches, three players in 66-69 inches and 75-78 inches and two players between 72-75 inches and 78-81 inches. So team panthers have more players about the same height.
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Complete Question
The diagram has been attached here
Look at the two histograms below. They give you information about the heights of players on two basketball teams, the Tigers and the Panthers. Use the histograms to answer the following questions.
a)Which team has taller players? Which has shorter players? Explain your thinking.
b)Which team has heights that vary more? Explain your thinking.
c)Which team has more players that are about the same height?
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There are two more quarters than dimes and as many nickels as dimes and quarters together. The total amount of money is 3. 75 dollars how many nickels dimes and quarters are there each
There are two more quarters than dimes and as many nickels as dimes and quarters together. The total amount of money is 3. 75 dollars, then nickels dimes and quarters are there each, D =7 dimes , Q = 9 quarters, and N = 16 nickels
tart by defining the variables for this problem :
Q : number of quarters
D : number of dimes
N : number of nickels
There are two more quarters than dimes so the equation :
Q = D+2
And as many nickels, as quarters and dimes together so the equation :
N = Q+ D
The total amount of money is $3.75 so the equation :
0.25Q + 0.10D + 0.05N =3.75
Solve the following system :
Q = D + 2 (I)
N = Q + D (II)
0.25Q + 0.10D + 0.05N =3.75(III)
In the equation (II) find Q in terms of N and D :
N = Q + D (II)
Q = N - D (IV)
If use (I) in (IV) :
Q = N - D
D + 2 = N - D
2D = N - 2
N = 2D + 2 (V)
If use (I) and (V) in (III)
0.25Q + 0.10D + 0.05N =3.75
(0.25) . (D + 2) + 0.10D + (0.05) . (2D + 2) = 3.75
0.25D +0.50 + 0.10D + 0.1D + 0.1 = 3.75
0.45D = 3.75
D = 3.75/ 0.45
D = 7
if D = 7 -----------replacing in (I)
Q = D + 2
Q = 7 + 2
Q = 9
If replace this values in (II)
N = Q + D
N = 9 + 7
N = 16
there are D =7 dimes,
Q = 9 quarters
N = 16 nickels
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Conrad has 6 more marbles than Rory. If r represents the numbers of marbles that Rory has, which expression represents the number of marbles that Conrad has?
6r
r – 6
6 – r
r + 6
r + 6 expression represents the number of marbles that Conrad has.
Algebraic expression
An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). An algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.
For example, 3x² − 2xy + c is an algebraic expression.
Given that Conrad has 6 more marbles than Rory. If r represents the numbers of marbles that Rory has.
Number of marbles Rory has = r
Therefore number of marbles Conrad has = r + 6
r + 6 expression represents the number of marbles that Conrad has.
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PLEASE HELP MEEEE!! ILL GIVE BRIANLIEST!!
Unit rate for the given expression 625 ft² in 2/3 hours is equal to
975ft² /hour.
As given in the question,
Given expression :
650 ft² in 2/3 hours
Unit rate for the given expression 625 ft² in 2/3 hours is equal to
In 2 /3 hours = 650 ft²
Simplify the given expression for the unit rate
1 hour = 650 / 2 / 3 ft² / hour
Multiply 650 to 3 and divide it by 2 we get,
1 hour = ( 650× 3 ) / 2 ft² / hour
⇒ 1 hour = 1950 / 2 ft² / hour
⇒ 1 hour = 975 ft²/hour
Therefore, unit rate for the given expression 625 ft² in 2/3 hours is equal to 975ft² /hour.
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de
Identify the Base and Height of Triangles
A formula for calculating the area of a triangle is A=bh, where b is the length of the
or length of an altitude, of the triangle.
Identify the base and sketch in the height on each type of triangle.
Right triangle
and his the
Acute triangle
Obtuse triangle
A formula for calculating the area of a triangle is A=1/2(b*h), where b is the length of the base and h is the height of or length of the altitude, of the triangle.
Identify the base and sketch in the height on each type of triangle.
right triangle - One of the sides that touches the 90-degree angle constitutes the foundation of a right triangle.
The height of a triangle is measured from its base to its highest point, and in a right triangle, that height can be determined from the side that forms a right angle to the base.
acute triangle - Three sides and three vertices make up the fundamental polygon known as the triangle. It has three sides, which results in three interior angles. An acute angle is one that is between 0° and 90° in length. When all three of the triangle's internal angles are acute, the triangle is said to be acute.
obtuse triangle - In an obtuse triangle, the height or altitude from the acute angles is outside the triangle. To find the height of the obtuse triangle, we extend the base as illustrated.
what is a triangle?
Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. Triangle ABC refers to a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time.
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When constructing a confidence interval for the population mean using the standard deviation of the sample, the degrees of freedom for the t distribution equals.
The t distribution's degrees of freedom are equal to n - 1 by standard deviation.
What does math standard deviation mean?
The standard deviation shows the average level of variability in your dataset. It provides the standard deviation of every statistic. A low standard deviation indicates that values are frequently within a certain distance of the mean, whereas a high standard deviation indicates that values are frequently outside of this range. Consider the information below: 2, 1, 3, 2, 4. The deviations from the mean of the observations will be represented by the average and the sum of squares, which will be 2.4 and 5.2, respectively. This indicates that the standard deviation will be (5.2/5) = 1.01.The degrees of freedom for the t distribution when creating a confidence interval for the population mean using the sample's standard deviation equals n - 1.
Degrees of freedom = n - 1
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find two positive integers whose product is 24,999,999 and whose positive difference is as small as possible. explain how you discovered them
Answer:
5001 and 4999
Step-by-step explanation:
25,000,000 is the square of 5,000 and 24,999,999 is one less than it. Notice that the situation resembles the expression [tex]x^2-1[/tex] in which x would be 5,000.
[tex]x^2-1[/tex] can be factored into [tex](x+1)(x-1)[/tex], and substituting x with 5000 yields: [tex](5000+1)(5000-1)[/tex]. This can also be written as [tex](5001)(4999)[/tex]. Therefore, the integers would be 5001 and 4999.
Find the unit rate. It took Timothy four days to finish 1/5 of his book. How much of the book did he read per day?
Group of answer choices
1/20 of the book
4/5 of the book
5/3 of the book
3/4 of the book
Answer:
Timothy read 1/20 of the book each day
Please help i’ve been stuck on this question for a too long!!
Graph the function with the given description.
A linear function h models a relationship in which the dependent variable increases 1 unit for every 5 units the independent variable
decreases. The value of the function at 0 is 3.
The linear function equation exists the slope-intercept form. A linear equation exists represented as: h(x) = mx + b then [tex]$\mathbf{h}(\mathrm{x})=-\frac{1}{5} \mathrm{x}+3$\\[/tex].
What is meant by linear function?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Let the independent variable be x.
The value of the function at 0 is 3.
If h(0) = 3
When the independent variable decreases by 5, the independent variable increases by 1.
So, the slope (m) exists -1/5.
Where, m = -1/5 the slope
b = 3 - the y-intercept
A linear equation exists represented as: h(x) = mx + b then [tex]$\mathbf{h}(\mathrm{x})=-\frac{1}{5} \mathrm{x}+3$\\[/tex].
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1 point
It took me 120 minutes to answer 25 questions. How long did each question take? type your answer...
Previous
minutes
It took me 120 minutes to answer 25 questions. How long did each question take?
120/25 = 4.8 minutes per question
Find AX. A(-4, 5), X(1, −2)
The distance of AX, A(-4, 5), X(1, -2) is 8.6
The distance formula is used to find the distance (shortest path) between two points.
The distance formula is
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } \\d = \sqrt{(-4 - 1)^{2} + (5 - (-2))^{2} } \\d = \sqrt{(-5)^{2} + (7)^{2} } \\d = \sqrt{25 + 49}\\ d = \sqrt{74}[/tex]
d = 8.6
Therefore, the distance of AX, A(-4, 5), X(1, -2) is 8.6
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Fine the average rate of change for f(x) on the interval [-1,3]
For any function f(x), the average rate of change on the interval [x1,x2] is given by [f(x2) - f(x1)]/(x2-x1)
For f(-1) = 2.5 and f(3) = 40, the average rate of change on the interval [-1,3] is given by:
step 1 - (40 - 2.5)/[3-(-1)] = 37.5/4 = 9.375
step 2 - (37.5)/4
step 3 - Solving the fraction we find that the average rate of change is 9.375 (or 75/8)
What number does T2,580 represent WHEN T = 1?
Looking for right Answer
If T = 1, then the number T2580 represents 2580 as the right answer. This is the basic rules of linear equation.
What is linear equation?The first order of equations are linear equations. For lines in the coordinate system, linear equations are defined. It is referred to as a linear equation in one variable when the equation contains a homogeneous variable of degree 1 (i.e., only one variable).
There may be multiple variables in a linear equation. Linear equations in two variables, and so forth, are what the equation is known as if it contains two variables. 2x-3=0, 2y=8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are a few examples of linear equations.
The three forms of linear equations are
Standard FormSlope Intercept FormPoint Slope FormLearn more about linear equation
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LEMON SQUASH 1 part concentrate to 2 parts water If you put 25 ml of concentrate in a glass, how much water should be added? ml
what would happen if you divide 8/5 instead of 4/5
Answer:
The value would double
Step-by-step explanation:
4/5 is half of 8/5
Answer:
4/5 is half of 8/5 so it got doubled
a fruit basket contains 5 apples, 6 oranges, and 3 peaches. if 3 fruit are selected and consumed, then compute the chance that all 3 fruits are not apples. write the answer as a decimal number rounded to third place value. group of answer choices
All three fruits are not apples is 0.027
Probability sampling is the process of selecting a sample from a population when the selection is based on the randomization principle, often known as chance or random selection.
P (X) = n/N
Given :
A fruit basket contains 5 apples
oranges=6
peaches=3
To find :
compute the chance that all 3 fruits are not apples ?
Solution :
P(all 3 are apples) =(5x4x3)/(14x13x12)
⇒ 60/ 2184
⇒ 0.027
the chance that all 3 fruits are not apples is 0.027
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Brandon takes 1/4 of a 24-hour period to read 1/3 of his book. At this rate, how many hours will it take Brandon to complete the book?
Answer:
Step-by-step explanation:
Brandon takes 1/4 of a 24-hour period to read 1/3 of his book. At this rate, how many hours will it take Brandon to complete the book?
1/4 of 24 hours = 0.25 × 24 = 6 hours
so:
Brandon takes 6 hours to read 1/3 of his book. To read the full book, going at the same reading rate:
6 × 3 = 18
It takes Brandon 18 hours to read the book.
Nicole is selling wing plates to fundraise. She's selling the plates for $7 each. She spent $147 on the ingredients and package for the plates. Which equation represents M, her profit of money, after selling p plates of wings?
Answer:
M = 7p - 147
Step-by-step explanation:
Nicole is selling wing plates to fund raise. She's selling the plates for $7 each. She spent $147 on the ingredients and package for the plates. Which equation represents M, her profit of money, after selling p plates of wings?
profit - sales - cost of goods sold
where p = number of plates sold
M = 7p - 147
the positive difference between the product of 78 and 36 and their sum is
Answer:
2694
Step-by-step explanation:
product of 78 and 36=78*36=2808
sum =78+36=114
difference between them =2808-114=2694
evaluate the expression 2⋅(|3.4−6|−1.8)÷2 1/2+(−2)^3.
On evaluating the given expression we get -9.6. We use the BEDMAS rule where we solve Brackets, Exponents, Division, Multiplication, Addition and Subtraction in a given expression in this order.
We evaluate the the problem using BEDMAS rule:
2.(|3.4-6|-1.8)÷2 1/2+(-2)^3
= 2.(|12-6|-8) ÷ 5/2 + (-8)
= 2.(6-8) ÷ 5/2 - 8
=2.(-2) ÷ 5/2 - 8
= -4 ÷ 5/2 - 8
= -8/5 - 8
= -48/5
= -9.6
Thus the answer of the the given expression we get after evaluating it is -9.6
Another problem on evaluating the expression using BEDMAS
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Please help ASAP!! This is overdue!
The equation of each line is labelled as shown in the image attached below, where:
y = 2x + 7 is line b
x + 5y = 10 is line d.
x + y = -9 is line f.
y = x is line c.
x = -5 is line a.
y = -5 is line e.
What is the Equation of a Line?The equation of a line can be rewritten as y = mx + b, if the line has a slope of m and a y-intercept of b.
For vertical lines, the equation is written as x = b, where b is where the line cuts across the x-axis.
For horizontal lines, the equation is written as y = b, where b is the point on the y-axis the line intercepts.
The equation y = 2x + 7 is a line that has a slope of 2 and a y-intercept of 7. This line is labelled as line b in the image below.
x + 5y = 10 is rewritten as y = -1/5x + 2. The slope is 1/5 and the y-intercept is 2. This equation is labelled as line d.
x + y = -9 is rewritten as y = -x - 9. The slope is -1 and the y-intercept is -9. It is represented by the line labelled line f.
y = x has a slope of 1 and passes through the origin, (0, 0). It is labelled as line c.
x = -5 is the vertical line that is labelled as line a.
y = -5 is the horizontal line that is labeled as line e.
See image below.
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Select equivalent or not equivalent for each pair of expressions
Equivalent or not equivalent result for each pair of given expressions are as follow:
a.5x-7+3x and 3x-7 +5x is equivalent.
b. 4y +9 +3y and 3y + 9 + 4y is equivalent.
c. 6z -2z +4 and 4 +2z-6z is not equivalent.
As given in the question,
Each pair of given expressions are equivalent or not equivalent :
a. 5x-7+3x and 3x-7 +5x
5x-7+3x
=(5x +3x) -7
= 8x -7
3x-7 +5x
= (3x +5x) -7
= 8x -7
This pair is equivalent.
b. 4y +9 +3y and 3y + 9 + 4y
4y +9 +3y
=(4y+3y)+9
= 7y +9
3y + 9 + 4y
=(3y +4y) +9
= 7y +9
This pair is equivalent.
c. 6z -2z +4 and 4 +2z-6z
6z -2z +4
=4z + 4
4 +2z-6z
= 4 -4z
This pair is not equivalent.
Therefore, equivalent or not equivalent result for each pair of given expressions are as follow:
a.5x-7+3x and 3x-7 +5x is equivalent.
b. 4y +9 +3y and 3y + 9 + 4y is equivalent.
c. 6z -2z +4 and 4 +2z-6z is not equivalent.
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9.31x5.8 it seems like it needs factors and decimals and a explanation
Answer:
53.998x
Step-by-step explanation:
9.31x · 5.8
9.31 · 5.8x
=53.999x
5−−4=
Pls help it’s due in 20 mins
NEGATIVE TIMES NEGATIVE GIVES POSITIVE
[tex]5 - ( - 4) \\ = 5 + 4 \\ = 9[/tex]
ATTACHED IS THE SOLUTION
Answer:9
Step-by-step explanation:
-- = + ( 5+4)
++= +
-+ = -
+- = -
an electrician earns $18.per hour. how will he earn for a job that from 11:30 a.m. to 2:00 p.m.?
Answer: $63
Step-by-step explanation:
If the electrician gains $18 an hour and works for 3 and a half hours, once you add the money for the total time up you will get $63.
$9 (for the 30 minutes) + $18 x 3 (for the 12-2 full working hours).
Hope this helps^^
[7th Grader]
Find the unit rate. Enter your answer as a mixed number.
A fertilizer covers
5/8
square foot in
1/6
hour.
The unit rate is square feet per hour.
The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
A fertilizer covers 5/8 square feet in 1/6 hour.
5/8 square feet ⇒ 1/6 hour
Multiply both sides by 6
6 × 5/8 square feet ⇒ 6/6 hour
30/8 square feet ⇒ 1 hour.
Hence "The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour".
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im so bad at things like this pls help
Answer:
Part A: C. 3c - 2 = c + 22
Part B: The cat weighs 12 pounds, and the dog weighs 34 pounds.
Step-by-step explanation:
Create a system of equations:
d = 3c - 2, d = 22 + c
And substitute to get the answer to part A:
22 + c = 3c - 2
If you solve the system, you get d = 34 and c = 12 as the answer to part B.
The cat weighs 12 pounds, and the dog weighs 34 pounds.
Answer: The weight of the dog is 34 pounds and The weight of the cat is 12 pounds The answer should be B I think that's the answer
Step-by-step explanation: