Based on the number of hours that the group of students gave as their responses, the median 10 hours can be found to be and the mean is 9.1 hours.
How to find the median?To find the median, you have to first order the responses from lowest to greatest and then pick the middle number.
The responses given were:
5, 10, 12, 10, 12, 6
When ordered we get:
5, 6, 10, 10, 12, 12
The middle number is found by the formula:
= (Middle number₁ + Middle number₂) / 2
= (10 + 10) / 2
= 10 hours
How to find the mean?To find the mean, simple add up all the responses and then divide by the number of students:
= (5 + 6 + 10 + 10 + 12 + 12) / 6 student
= 55 / 6
= 9. 2 hours
The question is:
find median and the mean number of hours for these students
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Which expression is equivalent to the given expression?
6y - 12
Answer: Y - 2
Step-by-step explanation: (6Y / 6) - (12 / 6) = Y - 2
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution. (2,3) and (2,5).
ok
P1 = (2, 3)
P2 = (2, 5)
1.- Find the slope
slope = m = (y2 - y1) / (x2 - x1)
-Substitution
m = (5 - 3) / (2 - 2)
m = 2/0
The slope is a horizontal line because does not exist.
2.- Find the equation of the line
y - y1 = m(x - x1)
y - 3 = 0
y = 3 This is the standard form of your question.
Solve the triangle ABC, if the triangle exists.
B = 31°06' a=37.5
b= 30.6
www
as needed.)
OB. There are 2 possible solutions for the triangle.
The measurements for the solution with the longer
mZA=
A = '' mZC='
side c are as follows.
The length of side c =
(Simplify your answer. Round to the nearest
degree as needed. Round to the nearest minute
as needed.)
The measurements for the solution with the shorter side c are as follows.
mZA =
'
mZC=
The length of side c =
(Simplify your answer. Round to the nearest
degree as needed. Round to the nearest minute
as needed.)
(Round to the nearest tenth as
needed.)
(Round to the nearest tenth as
needed.)
The ounces of soda consumed by an adult next month are an example of a discrete random variable.
a. True
b. False
The ounces of soda consumed by an adult next month are examples of a discrete random variable, False
A discrete random variable are known as counts. This is because it takes on only a countable number of distinct values. This means a random variable can only be considered to be discrete if it can take on values that are countable in an interval, otherwise it can be continuous.
Now on the question of ounces of soda consumed by an adult next month is considered not to be discrete random variable. This is because ounces of soda or volume of soda consumed are countless and infinite in number.
Hence, the statement that says ounces of soda consumed by an adult next month are an example of a discrete random variable is False.
Choice b(False) is correct.
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Fill in the information about the absolute value functions below.
EXPLANATION:
We are given the absolute value functions below;
[tex]\begin{gathered} y=3|x| \\ y=-\frac{3}{4}|x| \\ y=-\frac{1}{2}|x| \\ y=-1|x| \end{gathered}[/tex]Note that for this function, we have a v-shaped graph, since the values of the output is always positive (absolute value) and the vertex is at (0, 0). Also, if the value of a in the function;
[tex]y=a|x|[/tex]is positive, the graph opens upwards, and if the value of a is negative;
[tex]y=-a|x|[/tex]then it opens downwards.
Therefore,
ANSWER;
[tex]\begin{gathered} y=3|x|\text{ Opens upwards} \\ y=-\frac{3}{4}|x|\text{ Opens downwards} \\ y=-\frac{1}{2}|x|\text{ Opens downwards} \\ y=-1|x|\text{ Opens downwards} \end{gathered}[/tex][tex]\begin{gathered} The\text{ equation with the narrowest graph;} \\ y=3|x| \end{gathered}[/tex][tex]\begin{gathered} The\text{ equation with the widest graph;} \\ y=-\frac{1}{2}|x| \end{gathered}[/tex]Jack is baking a cake. the recipe says that it must bake for 2 1/2 hours it has been baking for 3/4 hours how much longer must to bake? PLEASE HELP AND EXPLAIN TYSM
Answer:
Step-by-step explanation:
60 divided by 4 is 15 so 1/4 of an hour is 15 minutes. so three fourths is 45 minutes and one hour and a half is the extra hour that has not been touched so add the last 15 min from the 3/4 onto that so it still has 1 hour and 45 minutes to bake
Answer:
It still has to bake for 1 3/4 hours
Step-by-step explanation:
So, the way I do it, you start by making 2 1/2 an improper fraction, which would be 5/2. Then, you have to get it so 5/2 and 3/4 have common denominators. The fastest way to do this is to multiply the denominator 2 by 2, which means you have to do the same to the numerator. So, you have 10/4-3/4, which equals 7/4. Now, you can simplify. 7/4 = 1 3/4
factor out the GCF -2x^2 - 4x - 6
The Greatest Common factor(GCF) of -2x^2-4x-6 is -2(x+1)(x-3)
What is Greatest Common Factor?The greatest common factor (GCF) is the largest factor two or more numbers have in common
From the question,
-2x^2-4x-6
By collecting like terms
-2(x^2-2x-3)
By factoring x^2-2x-3
-2(x^2-3x+1x-3)
Collecting like terms
-2(x^2-3x)+(x-3)
-2(x(x-3)+1(x-3))
-2(x+1)(x-3)
hence -2(x+1)(x-3) is the Greatest Common factor of -2x^2-4x-6 is
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If x > 6, then -7 is a solution.
True
False
Answer:
false
Step-by-step explanation:
because
i dont know how to explain but hope this help you
-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6
as you know,negative number also know the smallest number compared to positive number, but but sometimes negative number can be the big number such as : x > -7 then the answer is -1 because -1 near at 0, imagine you went in deep sea 0 between the sky and the sea, and 6 above the sky, -7 bottom of the sea, if you go down,means that your going bottom of the sea,while if you go up,itll increase cuz youre going up
the further a negative number is from the origin, the smaller the value of the number, the further away the positive number, the greater the value of the number
HOPE THIS HELP E
Answer:
The answer is False.
Use long division to find the quotient below.
(4x³ + 11x² +9) + (x+3)
OA. 4x²+2x+3
OB. 4x²-x+3
OC. 4x²+x+3
OD. 4x²-2x+3
Option B: 4x²-x+3
(4x³ + 11x² + 0x + 9) + (x+3) [here, we will include 0x to do long division]
Divide 4x³ by x to get first term of the quotient, 4x³
Then, take 4x² and multiply it with 3 and you will get 4x² + 12
Subtract 4x² + 12 from 4x³ + 11x².
Then, you will get the remainder as -x² + 0x
Now you have to repeat the same same process, divide -x² by x to get second term of quotient, -x
Then take -x and multiply with 3 and you will get -x²- 3x
You will get the remainder as 3x+ 9
Divide 3x by x to get the third term of quotient, 3
Then, take 3 and multiply with 3 and you will get 3x + 9
Subtract and you will get the remainder as 0.
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In which relation is y not a function of x?
PLS HELP GEOMETRY WILL GIVE BRAINLIEST
Given: line c is parallel to line d, and angle 1 is congruent to angle 7,
Prove: line a is parallel to line b
By corresponding angle we prove a parallel line a ║ b .
What is an example of parallel lines?
Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. They may be vertical or horizontal. Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.Lines that are always the same distance apart in a plane are said to be parallel. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.Given, c ║d
∠1 ≅ ∠7
∠1 = ∠3 ( corresponding question)
∠5 = ∠7 ( corresponding question)
then a ║ b
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What is the common difference between successive terms in the sequence?
0.36, 0.26, 0.16, 0.06, -0.04, -0.14,
could you help answer 1-12
1. The unit cost of red potatoes is $1.45/pound
2. The unit cost of white potatoes is $1.81/pound
3. Red potatoes bag is a better buy as it is cheaper than white potatoes while giving the same values of product.
What is unit cost?A price is referred to as a unit cost when it is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can. Divide the ratio's terms if you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price.
For example,
$5.50 ÷ 5 pounds = $1.10 per pound
4) 4/1.8 5) 5/6
= 2.9 = 0.83
6/2.4 12/14
=2.5 = 0.86
6 envelopes is better buy 5 songs download is a bette buy
6) 3/9 7) 12/6
= 0.3 = 2
5/12 100/28
= 0.42 = 3.57
3 games of laser tag is better buy 12 gifts is a better buy
8) 20/5 9) 16/3.04
= 4 = 5.26
100/20 24/5.04
= 5 = 4.76
20 arcade tokens is better buy 24 bottles of water is a better buy
10) 2/3.50 11) 100/2
= 0.57 = 50
5/6.75 145/4.35
= 0.74 = 33.3
2 pounds box is better buy 145 napkins is a better buy
12) 12/2.88 13) 250/40
= 4.16 = 6.25
15/3.30 600/138
= 4.54 = 4.35
12-ounce box is better buy 600 GB Hard drive is a better buy
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Find the solution for the equation using a table.
x^2 - 324 = 0
(how do I find the x-values to use for the table)
The x values of the polynomial expression given as x^2 - 324 = 0 are x = 18 and x = -18
How to factor the polynomial?The polynomial expression is given as:
x^2 - 324 = 0
Rewrite as
x^2 + 0 - 324 = 0
Express 0 as 18x - 18x
So, we have:
x^2 + 18x - 18x - 324 = 0
Factorize the polynomial expression
x(x + 18) - 18(x + 18) = 0
Factor out x + 18
(x - 18)(x + 18) = 0
Split the factors
x - 18 = 0 and x + 18 = 0
Solve for x
x = 18 and x = -18
To use a table, we have
x^2 - 324 = 0
Set x = some values and calculate the expression
x x^2 - 324
3 -315
6 -288
9 -243
18 0
Hence, the values of x are x = 18 and x = -18
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Explain how you know that the sum of 26.541 and 14.2 will be greater than 40.
The sum of 26.541 + 14.2 is greater than the integer 40, as the sum is equivalent to 40 + 0.741.
How to prove that the sum of two real numbers is greater than an integer
In this problem we need to compare the sum of two real numbers with an integer, also a real number. The two real numbers can be written as the sum of an integer and excess decimal part. Then, the given sum can be rewritten as:
x = 26.541 + 14.2
x = (26 + 0.541) + (14 + 0.2)
This sum must be compared with an integer, 40.
x = (26 + 14) + (0.541 + 0.2)
x = 40 + 0.741
Then, by direct comparison, we see that the sum of 26.541 + 14.2 is greater than 40.
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if during a typical week susan bowls 16 games, what is the probability that her average score for the week is between 220 and 228?
The probability that the average score for the week is between 220 and 228 = 0.7641
Susan's score on bowling follows Normal Distribution.
Average score or mean, μ = 225
Standard Deviation, σ = 13
Number of times Susan bowled, n = 16
Since the scores follows Normal Distribution, the z-score = (x-μ)√n/σ
When the score, x = 220,
z = (220-225)√16/13
= -20/13
= -1.538
When the score, x = 228,
z = (228-225)√16/13
= 12/13
=0.923
Hence The probability that the average score for the week is between 220 and 228 = P(220 < x < 228)
= P(-1.538 < z < 0.923)
= P(z < 0.923) - P(z < -1.538)
= (0.5 + 0.3212) -( 0.5 - 0.4429) [From the z-tables]
= 0.7641
The question is incomplete. Find the complete question below:
Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they follow a normal distribution. Her average score is 225, with a standard deviation of 13. If during a typical week Susan bowls 16 games, what is the probability that her average score for the week is between 220 and 228?
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Melissa wants to check the accuracy of the finance charge on her promissory note. She has a $6,000, four year loan at an APR of 3% A. What is Her monthly payment? B. What is her total of her monthly payments? C. What is the finance charge?
Based on amortization loan formula, Melissa should make a monthly payment of $4.21494.
What is meant by monthly payment?The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.
Assuming the loan exists compounded monthly, the total monthly payment exists estimated from the amortization formula as peruses:
[tex]$A=P(i(1+i)^n)/((1+i)^n-1)[/tex]
Where, A be the monthly payment
P be the amount borrowed = $ 6000
i be the monthly interest = 0.0311/12
n be the number of months = 4 × 12 = 48 months
Calculating the monthly payment:
substitute the values in the above equation, we get
[tex]$\frac{6000\left(\frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}\right)}{(1+0.03)^{48-1}}[/tex]
simplifying the above equation, we get
[tex]$=\frac{6000 \cdot \frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}}{(1+0.03)^{48-1}}$$[/tex]
[tex]$(1+0.03)^{48-1}=1.03^{47}$[/tex]
[tex]$=\frac{6000 \cdot \frac{0.03}{12}\left(\frac{0.03}{12}+1\right)^{48}}{1.03^{47}}$[/tex]
Multiplying the above equation,
[tex]$6000 \cdot \frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}= 16.90992 \ldots \\[/tex]
[tex]$=& \frac{16.90992 \ldots}{1.03^{47}} \\[/tex]
[tex]$1.03^{47}=4.01189 \ldots \\[/tex]
[tex]$=& \frac{16.90992 \ldots}{4.01189 \ldots}[/tex]
= 4.21494
Based on amortization loan formula, Melissa should make a monthly payment of $4.21494.
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i really need help!
4) At 5:00am in the morning, the temperature was -14.8 degrees Fahrenheit. By noon, the temperature increased to 6.2 degrees Fahrenheit. How much did the temperature change? Write an equation and then solve. Show all your steps.
Answer:
21 degrees
Step-by-step explanation:
Let the change in temp. be y.
-14.8 + y = 6.2
y = 21
Therefore, the change in temp. is 25 degrees.
There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20.
An equation created to find the smaller number will have
.
The equations have no solution. Therefore, the two numbers does not exist.
How to find the numbers using equation?There are two numbers. One number is twice the other number.
The difference of the smaller number and half the larger number is 20.
The equation that can be use to represent the situation can be represented as follows;
Hence,
let the two numbers be x and y.
2x = y
x - 1 / 2 y = 20
Note the smaller number is x
Therefore, using substitution,
x - 1 / 2 (2x) = 20
x - x = 20
0 = 20
The value of x and y can't be solved from the equation formed.
Therefore, it has no solution.
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Given f(x) = 2x - 2, find f(-3).
Answer:
-8
Step-by-step explanation:
f(-3) = 2(-3) -2
f(-3) = -6 -2
f(-3) = -8
1. Here is the recursive definition of a sequence: f(1) = 10, f(n) = f(n-1)-1.5 for
nz 2.
a. Is this sequence arithmetic, geometric, or neither?
b. List at least the first five terms of the sequence.
c. Graph the value of the term f(n) as a function of the term number n for at least
the first five terms of the sequence.
sno ritw nobin
Answer:
Below in bold.
Step-by-step explanation:
f(1) = 10
f(2) = f(2-1) - 1.5 = 10 - 1.5 = 8.5
f(3) = f(2) - 1.5 = 7.
a. This is Arithmetic.
b. The first 5 terms are:10. 8.5. 7, 5.5, 4.
c. The first point on the graph will (1, 10).
It will be a straight line descending to the right.
You are completing a math assessment. The number of questions you complete and the time it takes you to complete them have a proportional relationship, as shown in the table. Number of Questions 4 7 Time (in minutes) 6 ? How much time does it take to complete 7 questions? 3 minutes 5 minutes, 30 seconds 9 minutes 10 minutes, 30 seconds
Through direct proportionality, we calculated that Seven questions will be answered in 10 minutes and 30 seconds.
Seven questions will need to be answered in 10 minutes and 30 seconds.
Direct proportionality: What is it?
The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. In mathematics, a straight line is used to express direct proportionality, and its equation is of the form y = kx , k = y/x, where [k] is the constant.
The assumption is that the time it takes to finish each question and the number of completed questions [y] are inversely proportional to one another.
The time [x] it takes to complete them is directly proportional to the number of questions [y] that are answered. As a result, y = kx, k = y/x, and y is directly proportional to x.
Thus, we can write:
y₁/x₁ = y₂/x₂
Substituting the values,
4/6 = 7/x₂
x₂ = (7 x 6)/4
x₂ = 21/2
x₂ = 10.5
x₂ = 10 minutes 30 seconds
Therefore, Seven questions will be answered in 10 minutes and 30 seconds.
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Electrical power (P) is measured in watts using the formula P = V · I where V is the voltage in volts and I is the current in amperes.
If there are 60 volts running to a light bulb of 174 watts, how much current is flowing through the light bulb?
current flowing through the light bulb is 2.2 Amperes
Step by step explanation:
Step 1:
Given the voltage = 60 Volts and power = 174 Watts.
Find the current using the formula , P = V . l
=> l = P/V=60/174= 0.3448275862
p/3> 9 anyone know this??
Answer:
p > 37
Step-by-step explanation:
Multiply both sides by 3 so 9 x 3 is 27 so p > 37
Treat it like an equal sign and solve, but if you were to divide by a negative you would need to switch the sign, you don't need to though because you didn't divide by a negative in this one
HELLP me asap giving brainlyest to right answer
Answer:
Answer is y + 5 = -1(x-7)
Step-by-step explanation:
First find the slope, m = y2 - y1 / x2 - x1
so -5 -6 = -11, 7- (-4) = 11
m = -11/11 = -1
then plug into equation y-y1 = m(x-x1) so
Answer: The correct answer is the second one.
Step-by-step explanation:
That is the answer
22 Here is a right-angled triangle.
Work out the value of x.
4 cm
8.5 cm
xcm
x = 7.5 cm is value of v by Pythagorean theorem.
What is the Pythagorean theorem ?
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the total of the squares on the legs.For an acute triangle, c2 a2 + b2, where c is the side across from the acute angle, given the Pythagorean Theorem that states a2 + b2 = c2. For a right triangle, c is the side of the 90-degree angle and c2 = a2 + b2.use Pythagorean theorem in triangle,
8.5² = 4² + x²
72.25 = 16 + x²
72.25 - 16 = x²
56.25 = x²
x = √56.25
x = 7.5 cm
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PLSS HELP ASAP!!!!!!!!!!Which of the following is true? (1 point)
a
|–7| < 6
b
|–6| < |–7|
c
|–7| < |6|
d
|–6| < –7
I will give brainiest!!!!!!!!!!!!!!
Given that lines an and b are parallel and that m<6=65 , find m
Question
What is the slope of this graph?
Responses
1 fourth
negative 4
negative 1 fourth
4
Answer: The slope of the graph is negative 4.
Write an equation of the line containing the given point and parallel to the given line.
(5, -9); 7x-9y= 2
Type an equation using slope-intercept form or using the given point in point-slope form.
(Use integers or simplified fractions for any numbers in the equation.)
The equation using slope - intercept from the given point.
(a) y=8x-46
(b) 8x-y=46
what is slope ?
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
Step-by-step explanation:
-y=-8x+4
y=8x+4
We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.
Substitute (6,2)
2=8(6)+b
2=48+b
b=-46
The final answer is y=8x-46
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