Answer:
that graph will feature an area delimited by a line of slope m passing through the origin (0,0). Since m>0 the slope is positive, meaning the line goes up. Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.
Given this A matrix A=
⎣
⎡
12
4
8
11
14
15
9
3
3
4
13
4
13
4
14
6
3
4
10
8
6
13
9
9
14
5
12
12
6
9
⎦
⎤
We wish to do the following a) F=A(2, odd )+A( even, 3)
∘
b) S=A([
1
3
],[
3
4
])
∘
÷A([
1
3
],[
3
4
]) Hint: Use element-wise division c) T=A(3,5)×A(4,3) Script 8
Performing operations on the given matrix,
a) F = [17, 12, 17, 23, 18, 17]
b) S = [[1, 1], [1, 1]]
c) T = 72
a) To calculate F, we need to perform two operations:
1. A(2, odd): This selects the elements from the 2nd row of matrix A at odd column indices.
A(2, odd) = [4, 8]
2. A(even, 3): This selects the elements from even rows of matrix A at the 3rd column index.
A(even, 3) = [13, 4, 4]
Now, we can perform element-wise addition between A(2, odd) and A(even, 3):
F = A(2, odd) + A(even, 3)
= [4, 8] + [13, 4, 4]
Since the dimensions do not match, we need to align the vectors by repeating the shorter one:
F = [4, 8] + [13, 4, 4] = [4, 8] + [13, 4, 4, 13, 4, 4] = [4+13, 8+4, 13+4, 10+13, 14+4, 13+4]
= [17, 12, 17, 23, 18, 17]
Therefore, F = [17, 12, 17, 23, 18, 17].
b) To calculate S, we need to perform element-wise division:
S = A([1, 3], [3, 4]) ÷ A([1, 3], [3, 4])
This means we select the elements from the 1st and 3rd rows, and from the 3rd and 4th columns of matrix A:
S = [[13, 8], [14, 6]] ÷ [[13, 8], [14, 6]]
Element-wise division simply divides corresponding elements from the two matrices:
S = [[13/13, 8/8], [14/14, 6/6]]
= [[1, 1], [1, 1]]
Therefore, S = [[1, 1], [1, 1]].
c) To calculate T, we need to multiply the element at position (3, 5) with the element at position (4, 3) in matrix A:
T = A(3, 5) × A(4, 3)
= 12 × 6
= 72
Therefore, T = 72.
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Complete Question:
Given this A matrix
A = [[12 9 13 10 14] [ 4 3 4 8 5] [8 3 14 6 12] [11 4 6 13 12] [ 14 13 3 9 6] [15 4 4 9 9]]
We wish to do the following
a) F=A(2, odd )+A( even, 3)
b) S=A([ 1 3 ],[ 3 4 ]) ÷ A([ 1 3 ],[ 3 4 ]) Hint: Use element-wise division
c) T=A(3,5)×A(4,3)
What is the area of a bedroom thats 12 ft in length and 10 ft in width?
Answer:
120 sq ft.
Step-by-step explanation:
REMEMBER: Area is found by multiplying one side, by the other side that isn't the same length as it.
Multiply 12 by 10 to get 120
120 is the area of the bedroom
Samwell bought a packet of pens. His receipt is shown above. Assume that sales tax is rounded to the nearest cent. If the 6% sales tax had been computed on the sale price instead of on the regular price, how much lower would the tax have been?
If the 6% sales tax had been computed on the sale price instead of on the regular price, the tax will be $0.04 lower.
How to calculate the difference?It should be noted that from the information, Samwell bought a packet of pens and his receipt is shown above as $2.04.
Assume that sales tax is rounded to the nearest cent, If the 6% sales tax had been computed on the sale price instead of on the regular price, the difference will be:
Sales price = $1.89
Tax = $1.89 × 0.06 = $0.11
Therefore, the difference will be:
= Former tax amount - New tac amount
= $0.15 - 0.11
= $0.04
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Solve for x:
9x + 10 = - 4x + 36
helppo pleasee !!!
Answer:
x=2
Step-by-step explanation:
\(9x+10=-4x+36\\9x+4x=36-10\\13x=26\\x=26/13\\x=2\)
About one-fifth of the population of a town has blue eyes. About two-sevenths of the population has brown eyes. What is the probability that a person chosen at random from this town has blue eyes or brown eyes?
3/13
23/35
1/35
17/35
Answer:
Option C, 1/35
Step-by-step explanation:
Given
Proportion of town that has blue eyes = 1/5 = 0.2
Proportion of town that has brown eyes = 1/7
The probability of choosing either a blue eye or a brown eye person is
Probability of blue eye individual * Probability of brown eye individual
= 1/5 * 1/7 = 1/35
Hence, option C is correct
Cora watched 30 movies for a combined total of 55 hours over her last summer break. Some of the movies were 1.5 hours long, and others were 2.5 hours long.
How many of Cora's movies were 2.5 hours long?
The number of movies that are 2.5 hours long that Cora watched is 10 hours.
What are the linear equations that represent this question?a + b = 30 equation 1
1.5a + 2.5b = 55 equation 2
Where:
a = movies that are 1.5 hours long
b = movies that are 2.5 hours long
How many movies are 2.5 hours long?Multiply equation 1 by 1.5
1.5a + 1.5b = 45 equation 3
Subtract equation 3 from 2
1b = 10 hours
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Consider Mary's experiment regarding whether learning of 6th graders on a math lesson is affected by background noise level. Mary has collected her data. What is the null hypothesis for her study
a) If μ₁ is the average learning rate of the 6th graders without background noise level and μ₂ is the average learning rate of the 6th graders with the background noise level
The Null Hypothesis is that the learning rate of the 6th graders is not affected by the background noise level.
The null hypothesis, H₀: μ₁ = μ₂
b) The Alternative Hypothesis is that the learning rate of the 6th graders is affected by the background noise level.
An alternative hypothesis, Hа: μ₁ ≠ μ₂
c) Assumptions that must be met about the data before she can correctly use an independent t-test
There must be a random selection of the 6th graders
That the two groups are normally similar in their learning abilities
The division of students into the two groups should be at random
d) She has to make these assumptions to prevent bias and inaccuracy of results. If these assumptions are not made, the outcome of the experiment may not reflect the true effect of background noise on the learning of the 6th graders.
She can still get accurate results if she includes some bias in the selection to prove a particular result.
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HELP ME PLEASE
Which statement describes the solution to the system of equations?
(image)
The system has exactly one solution.
The system has exactly two solutions.
The system has no solutions.
The system has infinitely many solutions.
Answer:
the second one exactly two solution
Step-by-step explanation:
Answer:
The answer is D.) The system has infinitely many solutions.
The booster club at NHS sells hot chocolate and coffee at high school football games. At the last game, they had sales of $182.50. They need to keep track of how many of each type drink was sold so that they can make predictions for future sales. Bruce knows that they used 275 cups that night. If the hot chocolate sells for 75 cents and coffee sells for 50 cents, how much of each type of drink was sold?
Answer:
180 cups of hot chocolate and 95 cups of coffee
Step-by-step explanation:
multiply the cups by the price and add them together and it adds up to the total sales they got
Select the number property that will justify the step in the following expression. 2(5 • 17) = (2 • 5) 17 = 10 • 17 = 170
On solving the query we can say that This stage consists just of arithmetic multiplication and does not include any specific properties of numbers.
what is function?Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
The expression's step is justified by the distributive property. The distributive property of multiplication over addition asserts that for any three integers a, b, and c, a(b + c) = ab + ac. This is the particular property we are employing.
Here are the facts:
2(5 + 17) = 2(5) + 2(17)
which is equivalent to:
2(5 • 17) = (2 • 5) 17
The distributive principle of multiplication over addition is used in this phase.
Then, we further simplify by multiplying 2 by 5 to get 10, which results in:
(2 • 5) 17 = 10 • 17 = 170.
This stage consists just of arithmetic multiplication and does not include any specific properties of numbers.
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On solving the query we can say that This stage consists just of arithmetic multiplication and does not include any specific properties of numbers.
What is function?
Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
The expression's step is justified by the distributive property. The distributive property of multiplication over addition asserts that for any three integers a, b, and c, a(b + c) = ab + ac. This is the particular property we are employing.
Here are the facts:
2(5+17)=2(5) + 2(17)
which is equivalent to:
2(5+17)= 44
The distributive principle of multiplication over addition is used in this phase. Then, we further simplify by multiplying 2 by 5 to
get 10, which results in:
(2×5) 17 = 10× 17 = 170.
This stage consists just of arithmetic multiplication and does not include any specific properties of numbers.
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At a sale this week a desk is being sold for $247 this is a 24% discount from the original price what is the original price
The value of the original price is, $1,029
We have to given that;
At a sale this week a desk is being sold for $247 this is a 24% discount from the original price.
Let us assume that, the original price is x
Hence, we can formulate;
24% of x = 247
Solve for x;
24/100 × x = 247
24x = 24700
x = 24700/24
x = 1,029
Thus, The value of the original price is, $1,029
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calculate the size of unknown angles
Hi! I'm happy to help!
We know that 2y=150, so we can divide both sides by 2 to find the angle of y
2y=150°
÷2 ÷2
y=75°
So, y=75°.
I hope this was helpful, keep learning! :D
in a pure proportional representation system, a party gaining 25 percent of the vote would expect to receive how many of 100 available seats?
If a party gaining 25% of vote out of 100 seats in a pure proportional representation system would mean that the party got 25 seats.
We can compute it as,
100 × 25% = 25
A group of electoral systems used to choose candidates in multi-member electorates are referred to as proportional representation (PR). PR allows for the proportional representation of parties, organisations, and independent candidates in the selection of members of Parliament. Systems that use proportional representation have some advantages over the winner-takes-all principle.
The essence of such systems is that they provide mixed, balanced representation that reflects how votes are cast and that all votes cast, or nearly all votes cast, contribute to the outcome and are genuinely used to help elect someone. Due to the fact that seats are distributed based on the number of votes each party receives, few votes are "wasted," more parties can win seats in the legislature, and justice is prioritised.
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what is a type ii error? rejecting a false null hypothesis accepting a false alternate hypothesis rejecting a false alternate hypothesis failing to reject a false null hypothesis
A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.
In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.
Types of errors in hypothesis testing
There are two types of errors in hypothesis testing:
Type I error: Rejecting a true null hypothesis
Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.
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In a shipment of shirts to a clothing store, 2/5 of the shirts are blue and 3/10 of the shirts are red. If there are 20 shirts in the shipment, how many shirts are either blue or red?
Answer: 14
Step-by-step explanation:
Fraction of blue shirts = 2/5
Fraction of red shirts = 3/10
Number of shirts in the shipment = 20
The number of shirts that are either blue or red will be:
= (2/5 + 3/10) × 20
= (4/10 + 3/10) × 20
= 7/10 × 20
= 14
The number of shirts that are either blue or red is 14
helpppppppppp meeeeeeeeeee 50points
Answer:
1) 48
2)44
Step-by-step explanation:
Answer: 48 44 Are The Correct Answers
Step-by-step explanation:Hope This Helps
The net of a rectangular pyramid and its dimensions are shown in the diagram. What is the total surface area of the rectangular prism in square inches?
Answer:
A 37
Step-by-step explanation:
MARK me branlies please
Candi has 42 books. She gives half of
the books to the library and then gives
some to her sister. She keeps 14 for
herself. Which expression shows how
to find the number of books Candi
gave to her sister?
To find the number of books Candi gave to her sister, we need to first figure out how many books she gave to the library. The expression to find the number of books Candi gave to her sister is 42 - 35.
Since Candi gave half of her books to the library, we can use the expression:
(1/2) x 42 = 21
This means that Candi gave 21 books to the library. We know that she kept 14 books for herself, so to find out how many books she gave to her sister, we need to subtract the number of books she gave to the library and the number of books she kept for herself from the total number of books she had initially:
42 - 21 - 14 = 7
Therefore, Candi gave 7 books to her sister.
To summarize, the expression that shows how to find the number of books Candi gave to her sister is:
42 - (1/2) x 42 - 14 = 7
This expression first calculates the number of books Candi gave to the library (which is half of the total number of books), then subtracts the number of books she kept for herself, and finally gives us the number of books she gave to her sister.
To find the number of books Candi gave to her sister, we can follow these steps:
1. Determine the number of books Candi gave to the library: As she gives half of her books, we can calculate this by dividing the total books (42) by 2. So, 42 ÷ 2 = 21 books.
2. Calculate the total books given away: Now, we need to add the books given to the library and those she kept for herself. So, 21 (library) + 14 (herself) = 35 books.
3. Find the number of books given to her sister: Finally, we will subtract the total books given away from the initial total of 42 books. The expression for this step is:
Books given to sister = Total books - Books given away
Books given to sister = 42 - 35
So, the expression to find the number of books Candi gave to her sister is 42 - 35.
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sandra babysat for the millers for 4.5 hours. the millers gave her 40$. write and solve an equation to calculate how much sandra earned per hour. round to the nearest hundrefth.
Write the nth term rule for the arithmetic sequence with the given term and common difference. Fill in the formula: a = a₁ + d(n-1) below.
a1=-10 and d=0.5
Answer:
The nth term rule for an arithmetic sequence with a first term of -10 and a common difference of 0.5 is given by:
an = a₁ + (n-1)d
where a₁ = -10 and d = 0.5.
Substituting these values into the formula gives:
an = -10 + (n-1)0.5
Simplifying this expression gives:
an = -10 + 0.5n - 0.5
an = -10 + 0.5n - 0.5
an = -10 + 0.5n - 0.5
an = -10 + 0.5n - 0.5
an = -10 + 0.5n - 0.5
an = -10 + 0.5n - 0.5
an = -0.5n - 9.5
I hope that helps! Let me know if I'm wrong!
Step-by-step explanation:
I really don't understand how to do this, can I please get some help?
thank youu
—бу – 3 = 3 – бу
No solution
All real numbers
I need the answer quickly!! will give brainliest i just need the answer quickly
The temperature in a city began to decrease at a constant rate once a cold front began to
move in. The temperature was 49°F after 2 hours and 39°F after 6 hours. Suppose x is
the number of hours since the cold front began to move in, and y is the temperature in F.
Step-by-step explanation:
If we assume that the temperature decreased at a constant rate, we can use a linear equation to model the relationship between the temperature (y) and time (x) since the cold front began to move in.
First, we can find the rate of decrease (slope) of the temperature by using the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (2, 49) and (x2, y2) = (6, 39).
slope = (39 - 49) / (6 - 2) = -2.5
So the temperature is decreasing at a rate of 2.5°F per hour.
Next, we can use the point-slope form of a linear equation to write the equation of the line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is one of the points on the line.
Using (x1, y1) = (2, 49) and m = -2.5, we get:
y - 49 = -2.5(x - 2)
Simplifying:
y = -2.5x + 54
So the equation that models the relationship between the temperature (y) and time (x) since the cold front began to move in is y = -2.5x + 54.
If 152 people attend and tickets for adults cost $3.5 while tickets for children cost 1.5 and total receipts for tbe concert was $380, how many of each went to the concert?___ adults ___ children
If 152 people attend and tickets for adults cost $3.5 while tickets for children cost 1.5 and total receipts for tbe concert was $380, how many of each went to the concert?
___ adults
___ children
Let
x -------> number of adults
y -----> number of children
we have
x+y=152
isolate variable x
x=152-y ------> equation A
3.5x+1.5y=380 ------> equation B
substitute equation A in equation B
3.5(152-y)+1.5y=380
solve for y
532-3.5y+1.5y=380
3.5y-1.5y=532-380
2y=152
y=76
Find the value of x
x=152-y
x=152-76
x=76
therefore
76 adults 76 children Write
3
6
in lowest terms.
Answer:
1/2
Step-by-step explanation:
3 is half of 6 so the answer would be 1/2.
Mr. Perez baked 24 cookies. 3 fourths of the cookies were oatmeal. How many oatmeal cookies did Mr. Perez bake?
Answer:
18 oatmeal cookies
Step-by-step explanation:
3/4×24=18
-14,-12,-10,-8,-6 what sequence is it.
arithmetic sequence
Step-by-step explanation:
Answer:
+2
Step-by-step explanation:
The numbers are increasing by 2 every time
Whats this answer?? I need it
Find the slope of the line from the points and the graph.
15. (2,4) and (5, 13)
16. (4,5) and (9,-3)
Answer:
15. m=3 16. m=-8/5 or -1.6
Step-by-step explanation:
The formula for slope is m=\(\frac{y_2-y_1}{x_2-x_1}\)
so for #15
\(\frac{13-4}{5-2}\)=\(\frac{9}{3}\)=3
and for #16
\(\frac{-3-5}{9-4}\)=\(\frac{-8}{5}\)=-1.6
How many 3/4s are in 2? Draw a tape diagram
Answer:
8/3, or 2 if you want a whole number
Step-by-step explanation:
Well, the simple answer is 2/(3/4). This is nothing but 2*4/3, which is just 8/3. (I used the theorem that states that dividing is the same as multiplying by the reciprocal)