Answer:
4,9,8 = 4+9+8 = 21
9,9,3 = 9+9+3 = 21
6,7,8 = 6+7+8 = 21
8,8,5 = 8+8+5 = 21
5,7,9 = 5+7+9 = 21
Step-by-step explanation:
The question says you get 7 points per quiz out of 3 quizzes.
7+7+7 = 21
Now that we know that we need a total score of 21, we therefore need to distribute it among the three quizzes.
Remember;
None of these scores are to be higher than 10. We need to add up scores below 10.
4,9,8 = 4+9+8 = 21
9,9,3 = 9+9+3 = 21
6,7,8 = 6+7+8 = 21
8,8,5 = 8+8+5 = 21
5,7,9 = 5+7+9 = 21
All of these gives 7 as average.
5) h(n) = -2n^2+ 4; Find h(4)
Answer:
h(4) = -28
General Formulas and Concepts:
Substituting into functionsOrder of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
h(n) = -2n² + 4
h(4) is n = 4
Step 2: Solve
Substitute: h(4) = -2(4)² + 4Exponents: h(4) = -2(16) + 4Multiply: h(4) = -32 + 4Add: h(4) = -28Given the equation y=1/3x+2 what is the rate of change?
Answer:
1/3
Step-by-step explanation:
thats the slope so im assuming :/
Explain! Which one is correct?
Answer:
C) $5/1 ticket
Step-by-step explanation:
$80 for 16 tickets is $5 for 1 ticket. We can find this by just simply dividing 80/16 together to get 5.
In a sample of 1000 U.S. adults. 217 think that most celebrities are good role models. Two U.S. adults are selected from this sample without replacement.
Find the probability that both adults think most celebrities are good role models
(Round to three decimal places as needed.)
Find the probability that neither adult thinks most celebrities are good role models
(Round to three decimal places as needed.)
Find the probability that at least one of the two adults thinks most celebrities are good role models
(Round to three decimal places as needed)
Answer:
(a) 0.047
(b) 0.613
(c) 0.387
Step-by-step explanation:
In a sample of 1000 U.S. adults 217 think that most celebrities are good role models.
The proportion of U.S. adults who think that most celebrities are good role models is, p = 0.217.
Two U.S. adults are selected from this sample without replacement.
Let X denote the number of U.S. adults who think that most celebrities are good role models.
Both the individuals are independent of each other.
The random variable X follows a binomial distribution with parameters n = 2 and p = 0.217.
The probability mass function of X is:
[tex]P(X=x)={2\choose x}(0.217)^{x}(1-0.217)^{2-x};x=0,1,2[/tex]
(a)
Compute the probability that both adults think most celebrities are good role models as follows:
[tex]P(X=2)={2\choose 2}(0.217)^{2}(1-0.217)^{2-2}\\=1\times 0.047089\times 1\\=0.047[/tex]
Thus, the probability that both adults think most celebrities are good role models is 0.047.
(b)
Compute the probability that neither adult thinks most celebrities are good role models as follows:
[tex]P(X=0)={2\choose 0}(0.217)^{0}(1-0.217)^{2-0}\\=1\times 1\times 0.613089\\=0.613[/tex]
Thus, the probability that neither adult thinks most celebrities are good role models is 0.613.
(c)
Compute the probability that at least one of the two adults thinks most celebrities are good role models as follows:
[tex]P(X\geq 1)=1-P(X<1)\\=1-P(X=0)\\=1-0.613\\=0.387[/tex]
Thus, the probability that at least one of the two adults thinks most celebrities are good role models is 0.387
Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
Answer:
P[2qp] = 0,467 or 46,7 %
Step-by-step explanation:
The probability of two of seven chemistry professors is equal to:
P[2 qp] = quantity of combinations of seven elements taken in groups of two, over total quantity of events, therefore
The total quantity of combinations is:
3 statistics professors + 7 chemistry professors taken in groups of 2 that is:
Te = (3 + 7) ! / 2!*(10-2)!
Te = 9!/ 2!*5! ⇒ Te = 9*8*7*6*5!/2!*8! ⇒ Te = 9*8!/2*8!
Te = 45
And successful events are:
C₇,₂ = 7!/2!*(7-2)!
C₇,₂ = 21
Finally, the probability that both professors are chemistry professors is:
P[2qp] = 21/45
P[2qp] = 0,467 or 46,7 %
The probability of selecting both professors are chemistry professors will be 0.4667 or 46.67%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Three statistics professors and seven chemistry professors are available to be advisors to a student organization.
The student organization needs two of the professors to be advisors.
If each professor has an equal chance of being selected.
The probability that both professors are chemistry professors will be
The total quantity of combinations will be
[tex]\rm T = \ ^{10} C _ 2 = 45[/tex]
And successfull events will be
[tex]\rm F = \ ^7C_2 = 21[/tex]
Then the probability will be
[tex]\rm P = \dfrac{F}{T}\\\\\\P = \dfrac{21}{45}\\\\\\P = 0.4667 \ or \ 46.67 \%[/tex]
More about the probability link is given below.
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what is the length of the missing side , x
Answer:
Yes please i really need it
Step-by-step explanation:
Question 1
1 pts
A high school gym teacher records how much time each student requires to complete a one-mile run.
This
is an example of measuring a continuous variable.
Answer:
True : It is an example of a continuous variable
Step-by-step explanation:
Numerical variables acn be classed as either being discrete or continuous based on whether the values in the data set are finite and countable or not.
Discrete variables are characterized by possessing a finite number of possible values which are countable and usually do not involve decimal numbers in between successive whole numbers.
On the other hand continuous variables are non finite and usually contains a lot of points in between possible whole numbers such as in the scenario above, the race time for the students take up any number within minutes, seconds and milliseconds. Hence, making the possible Numner of values impossible to predict or state.
9. Mr. Stevenson is ordering shirts and hats for his Boy
Scout Troop. There are 60 scouts in the troop.
Hats come in packs of 3, and shirts come in packs of
5. What is the least number of packs each he
should order so that each scout will have 1 hat and
1 shirt, and none will be left over?
Answer:
20 hat packs and 12 shirt packs
Step-by-step explanation:
Scout total troops of boys is 60
Hat come in packs is 3 and shirts come packs of 5 .Thus answer to above question 20 hats and 12 shirts at least
Explanation:
At least no of hats -60/3-20
at least no of shirts -60/5-12
Thus we conclude that the total of at least shirts 12 and hats is 20 is true
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Nine less than five times a number is equal to -30.
Answer: 5x-30-9
-159
Step-by-step explanation:
-159 is the answer
2〖sen〗^2 x+3 senx+1=0
2cotxsecx+ 2secx+cotx+1=0
senx〖cos〗^2 x=senx
2〖cos〗^2 x+2senx-12=0
2〖csc〗^2 x+〖cot〗^2 x-3=0
2 sin²(x) + 3 sin(x) + 1 = 0
(2 sin(x) + 1) (sin(x) + 1) = 0
2 sin(x) + 1 = 0 OR sin(x) + 1 = 0
sin(x) = -1/2 OR sin(x) = -1
The first equation gives two solution sets,
x = sin⁻¹(-1/2) + 2nπ = -π/6 + 2nπ
x = π - sin⁻¹(-1/2) + 2nπ = 5π/6 + 2nπ
(where n is any integer), while the second equation gives
x = sin⁻¹(-1) + 2nπ = -π/2 + 2nπ
2 cot(x) sec(x) + 2 sec(x) + cot(x) + 1 = 0
2 sec(x) (cot(x) + 1) + cot(x) + 1 = 0
(2 sec(x) + 1) (cot(x) + 1) = 0
2 sec(x) + 1 = 0 OR cot(x) + 1 = 0
sec(x) = -1/2 OR cot(x) = -1
cos(x) = -2 OR tan(x) = -1
The first equation has no (real) solutions, since -1 ≤ cos(x) ≤ 1 for all (real) x. The second equation gives
x = tan⁻¹(-1) + nπ = -π/4 + nπ
sin(x) cos²(x) = sin(x)
sin(x) cos²(x) - sin(x) = 0
sin(x) (cos²(x) - 1) = 0
sin(x) (-sin²(x)) = 0
sin³(x) = 0
sin(x) = 0
x = sin⁻¹(0) + 2nπ = 2nπ
2 cos²(x) + 2 sin(x) - 12 = 0
2 (1 - sin²(x)) + 2 sin(x) - 12 = 0
-2 sin²(x) + 2 sin(x) - 10 = 0
sin²(x) - sin(x) + 5 = 0
Using the quadratic formula, we get
sin(x) = (1 ± √(1 - 20)) / 2 = (1 ± √(-19)) / 2
but the square root contains a negative number, which means there is no real solution.
2 csc²(x) + cot²(x) - 3 = 0
2 (cot²(x) + 1) + cot²(x) - 3 = 0
3 cot²(x) - 1 = 0
cot²(x) = 1/3
tan²(x) = 3
tan(x) = ± √3
x = tan⁻¹(√3) + nπ OR x = tan⁻¹(-√3) + nπ
x = π/3 + nπ OR x = -π/3 + nπ
(i need this ASAP)
Which of the following is an
arithmetic sequence?
A 1, 3, 6, 10, 15, …
B −8, −11, −14, −17, −20, …
C 48, 24, 12, 6, 3, …
D 1, 12, 123, 1234, 12345, …
Answer:
A
Step-by-step explanation:
is there a need for explanation
In a multiple linear regression analysis, statistical model utility is determined by the value of R2 and 2s, while practical model utility is determined by the Global F-test p-value.
a) true
b) false
Answer:
This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.
Step-by-step explanation:
Solution:
In a multiple linear regression analysis, the statistical model utility is determined by the value of R2 and ∂2, while the Global F test p-value determines the practical model.
This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.
The F test is a statistical test that is very flexible. F test can evaluate multiple model terms.
The F test indicates whether a linear regression model provides a better fit to data than a model that contains no independent variable.
The F test for overall significance has two hypotheses:
1- Null hypothesis:
The fit of the intercept only model and your model are equal.
2- Alternative hypothesis:
The fit of the intercept-only model is significantly reduced compared to your model.
Compare p-value for the F test,
If the p-value is less than the significance level, the sample data provide sufficient evidence that the regression model fits the data better with no independent variable.
Find the smallest whole number multiple of 2 that leaves a remainder of 1 when divided by either 3 or 7.
Answer:
2 times 8 = 16 divided by 3 leaves a remander of 1
Step-by-step explanation:
The smallest whole number is 22.
What is Least Common Multiple?Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.
For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
Given:
First find the LCM of 7 and 3 .
LCM = 3 x 7 = 21
So, we will add remainder 1 (as given) to the LCM .
= 21+ 1
= 22
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Write 45%of m as an expression
Answer:
nh
Step-by-step explanation:
Point B is on line segment AC. Given BC
7 and AC
11, determine the length
AB.
Answer:
4
Step-by-step explanation:
Since the entire length is 11, and one segment is 7, you'll subtract and end up with the answer 4.
The length of AB if Point B is on the line segment AC, BC = 7 and AC = 11, is 4.
What is a line segment?A line segment is a measurable route between two points. Line segments can make up any polygon's sides because they have a set length.
Given:
Point B is on the line segment AC, BC = 7 and AC = 11,
Write the expression for the above phrase as shown below,
The length of the AC = The length of AB + the length of BC
11 = 7 + The length of AB
The length of AB = 11 - 7
The length of AB = 4
Thus, The length of AB is 4.
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How can I prove my teacher I’m an advanced kid?
Answer:
tell them that you would like them to reconsider your level in whatever class that is
Step-by-step explanation:
Answer:
Maybe have good handwriting (if written assignents), double check your questions to make sure they are corect, show all of your work, ask extra questions to show you are paying attention, take notes and try to make sure she/he notices.
Step-by-step explanation:
hope this helped
which of the four triangles efG
Question 3: Determine the missing base in the equation problem below. 75eight = 23 base
Answer:
29
Step-by-step explanation:
Given the expression [tex]75_8 = 23_x[/tex] where x is the unknown base:
[tex]75_8 = 23_x\\7\times8^1 +5\times8^0 = 2\times x^1+3 \times x^0\\56+5 = 2x+3\\61 = 2x+3\\2x = 61-3\\2x = 58\\x = 58/2\\x = 29[/tex]
Hence the missing base is 29
Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true.
a. -25
b. 2
c. 3
d. 1
Answer:
[tex]a = 1[/tex]
Step-by-step explanation:
Given
[tex]4x - 3(x + a) = 2[/tex]
[tex]x = 5[/tex]
Required
Determine the value of a
[tex]4x - 3(x + a) = 2[/tex]
Substitute 5 for x
[tex]4(5) - 3(5 + a) = 2[/tex]
Open all brackets
[tex]20 - 15 - 3a = 2[/tex]
[tex]5 - 3a = 2[/tex]
Collect Like Terms
[tex]-3a = 2 - 5[/tex]
[tex]-3a = -3[/tex]
Solve for a
[tex]a = -3/-3[/tex]
[tex]a = 1[/tex]
Jamal buys 33 bolts that cost $0.38 each,hich equation represents the best estimate for the total cost of all of the bolts
Answer:
12.54
Step-by-step explanation:
Please help!!!!!!!! What is the measure of angle 4?
Answer:
30°
Step-by-step explanation:
<4=<2=30
(vertical opposite angles are equal)
Answer:
30 degrees
Step-by-step explanation:
Since 4 is equal on the other side of 2, it would be congruent, which is the same as 2. So, 30 degrees.
Graph the linear function f(x) = 3 – 6x .
Answer:
put one point at (0,3)
put another point at (1,-3)
draw a line between them
Step-by-step explanation:
could u vote me brainliest plz? thx :)
The standard formula for calculating the equation of a line is expressed as
y = mx + b
m is the slope of the line
b is the y-intercept of the line
Given the equation to graph expressed as g(x) = 3 - 6x
First, we need to get the x and y-intercept of the line expressed as:
For the x-intercept, y = 0
0 = 3 - 6x
6x = 3
x = 0.5
The x-intercept is at (0.5, 0)
For the y-intercept, x = 0
y = 3 - 6(0)
y = 3
The y-intercept is at (0, 3)
Plot the graph of a line passing through the coordinate points (0.5, 0) and (0, 3) as shown below;
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1 quart= 4cups=1.96, Each cup coat?
Answer:
Step-by-step explanation:
Sorry but please give detailed question
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 65% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 35%. There is only a 75% chance that she will find a tutor at such short notice. a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.)
Answer:
0.49
Step-by-step explanation:
We apply conditional probability to solve this question.
We have Events X and Events Y
P(X) = Probability Christine fails the course = ??? Unknown
P(Y) = Probability Christine finds a tutor
= 0.35
P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75
P(X|Y) = Decrease in her probability of failing = 0.35
P(X|Y') = Probability that she will fail the course if she does not have a tutor
P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')
P(X) = 0.35 × 0.75 + 0.65 × 0.35
P(X) = 0.2625 + 0.2275
P(X) = 0.49
The probability that Christine fails the course is 0.49
Which sentence is true is 0.45<0.5
True.
When you break it down, it's 0.45 compared to 0.50, so 0.5 is greater than 0.45 by 0.05. Also, 0.5 is closer to 0.
In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?
Answer:
0.625
Step-by-step explanation:
15 divided by 24 which equals 0.625
16 less than a number r divided by 8
Answer:r/8>16
Step-by-step explanation:
r/8-16
It says 16 less, so we have to subtract 16 from r divided by 8.
That would be r/8-16.
Owen earns a base salary of $925 per month as a salesman. In addition to his salary, he earns $85 per product that he sells. If his goal is to earn more than $4,500 per month, how many products does he need to sell? what would be the problem and solution?
Answer:
43
Step-by-step explanation:
Find the slope of the line
Answer:
0
Step-by-step explanation:
Does the graph represent y as a linear function of x ?
Answer: yes because without the x the y does not have a corresonding oint