Work Shown:
Add up the values
75+97+92 = 264
Then divide by 3 since there are 3 scores
264/3 = 88
You can write this all as one step
(75+97+92)/3 = 88
So in short, you add the scores and then divide by the number of scores.
Find the perimeter of a quadrilateral with the following vertices.
(−6, −2), (0, −10), (5, 2), (−1, 10)
a.40
b.52
c.23
d.46
The perimeter of the quadrilateral is 46 units, so the correct option is d.
How to find the perimeter of the quadrilateral?The perimeter is equal to the sum of the lengths of all the sides of the quadrilateral.
Remember that the length of a segment whose endpoints are (x₁, y₁) and (x₂, y₂) is:
L = √( (x₁ - x₂)^2 + (y₁ - y₂)^2)
The length between the first two vertices: (−6, −2), (0, −10)
L₁ = √( (-6 - 0)^2 + (-2 + 10)^2) = 10
The length between the second two vertices: (0, −10), (5, 2)
L₂ = √( (0 - 5)^2 + (-10 - 2)^2) = 13
The length between the third two vertices: (5, 2), (−1, 10)
L₃ = √( (5 + 1)^2 + (2 - 10)^2) = 10
The length between the fourth two vertices: (−1, 10), (−6, −2)
L₄ = √( (-1 + 6)^2 + (10 + 2)^2) = 13
Then the perimeter is:
P = 10 + 13 + 10 + 13 = 46
The correct option is D.
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He paid $175 for electric, $600 for his lease, $2,025 for supplies in the month of February. He sold 77 shoes for $80 per shoe in February. What is Michael's profit for February?
Answer:
3360
Step-by-step explanation:
(77x80)-(175+600+2025)
Use properties of determinants to evaluate the given determinant by inspection. 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 Find the determinant, assuming that a b c d e f = 9. gh i 4a b/5 -C 4d e/5 -f 4g h/5 -i A square matrix A is invertible if and only if det A # 0. Use the theorem above to find all values of k for which A is invertible. (Enter your answers as a comma-separated list.) k -k o k + 1 5 1 A = k -15 k - 1 ko
The determinant of the given matrix is 1.
To evaluate the determinant of the given matrix by inspection, we can use the property that the determinant of a 4x4 matrix can be found by subtracting the products of the diagonals going in one direction from the products of the diagonals going in the other direction.
In this case, the diagonal going from top left to bottom right consists of the elements 0, 1, 1, and 1, and the diagonal going from top right to bottom left consists of the elements 0, 0, 0, and 1. Therefore, the determinant is (0111) - (1100) = 1.
For the second part, to find all values of k for which the matrix A is invertible, we can use the property that a square matrix is invertible if and only if its determinant is nonzero. Therefore, we need to find all values of k for which det A ≠ 0.
Using the same formula as before, we can calculate the determinant of A to be k(16k-240). Thus, det A ≠ 0 when k ≠ 0 and k ≠ 15, since those are the values of k that would make the determinant equal to zero. Therefore, all values of k except 0 and 15 make the matrix A invertible.
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what’s 3х + 7>4х +2
Answer:
\(x < 5\)
Step-by-step explanation:
\(3x + 7 > 4x + 2 \\ 7 - 2 > 4x - 3x \\ 5 > x\)
\(x < 5\)
The average house price in 2007 was 5% lower than in 2006 The average house price in 2008 was 5% greater than in 2007 Explain why the average price of house in 2008 Is not the same as the average house price in 2006
Answer:
Given that the average house price in 2007 was 5% lower than in 2006, while the average house price in 2008 was 5% greater than in 2007, to explain why the average price of house in 2008 is not the same as the average house price in 2006 the following logical reasoning must be carried out:
If, for example, in 2006 the median home price was $ 100,000, a 5% drop in 2007 would bring the median price to $ 95,000. In turn, if this price were to increase by 5% for 2008, said value would rise to $ 99,750. This is so because the 5% is calculated based on a smaller number, with which the rise will be, therefore, also smaller.
Find the area of the parallelogram
Answer:
32
Step-by-step explanation:
8x4=32
Answer:need more time to solve-
Step-by-step explanation: A= b x h
which number is divisible by both 2 and 4?a.1,022b.1,974c.2,836d.2,918
The number that is divisible by both 2 and 4 is option c. 2,836.
To determine which number is divisible by both 2 and 4, we need to identify the number that is divisible by the prime factorization of both 2 and 4.
Divisibility by 2To be divisible by 2, a number must be even, meaning it should end with 0, 2, 4, 6, or 8. Looking at the given options, we can eliminate options a. 1,022 and d. 2,918 because they end with 2 and 8 respectively.
Divisibility by 4To be divisible by 4, a number must be divisible by 2 twice. In other words, the last two digits of the number should form a multiple of 4. Examining the remaining options b. 1,974 and c. 2,836, we find that only option c. 2,836 satisfies this condition. The last two digits of 2,836, 36, form a multiple of 4 (9 times 4 is 36).
Therefore, the number 2,836 is divisible by both 2 and 4, hence the correct answer is: c.2,836
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What is the value of x?
x = 1/2 × 68
= 34
That's the rule just its half also y is the same thing while x and y are looking at the same arc
:>
Which triangles are similar to ABC?
A
B
Both
Neither
Both (If you rotated both of them they would be the same or slightly bigger)
Answer:
Both are similar but the definition of B is precise as it speaks of WYZ meaning W to Y = W + Y + Z = 180 However as shapes they are all congruent as 2 angles are given that match so the the definition of B is precise as it speaks of WYZ
Step-by-step explanation:
The terminal side of an angle What is the cot
Using the unit circle:
\(\begin{gathered} cot\theta=\frac{x}{y} \\ \\ cot\theta=\text{ }\frac{\frac{33}{65}}{\frac{56}{65}} \\ \\ cot\theta=\text{ }\frac{33}{56} \\ \end{gathered}\)One square tile on your kitchen floor is 11.25 inches long. It takes 12.5 tiles to cover the length of the floor. About how long is the floor?
Answer: For this Answer, You need to multiply both of the numbers together.
Step-by-step explanation:
11.25 * 12.5 = 140.625 inches or just 140 inches
Hope this help you out!
what is 3.2 repeating equal to
Answer:
\( \frac{29}{9} \)
Step-by-step explanation:
3.2 repeating = 3.2222....
let's make it equal to x
x = 3.2222....
we want to eliminate the infinitely repeating digits, so let's multiply 3.2222.... by 10 and equate it to 10x
3.2222.... × 10 = 32.2222....
10x = 32.2222....
Now we have
x = 3.2222....
10x = 32.2222....
They both have an infinite number of repeating twos so subtract x from 10x to get rid of the repeating digits after the decimal point
Rewriting it as
10x = 32.2222....
x = 3.2222....
10x - x = 9x and 32.2222.... - 3.2222.... = 29
equate both
9x = 29
divide both sides by 9
x = 29/9
Find the reciprocal of I
Answer:
the reciprocal of 1 is 1
Step-by-step explanation:
1/1 flipped is still equal to 1
Mary cut a wire into 7 equal pieces. The wire was originally 7.84 meters long. How long is each piece?
Answer:
Each piece is 1.12 meters long
Step-by-step explanation:
7 equal pieces = divide x by 7
equation: 7.84 / 7
Find the 30th term of the following sequence 1,7,13,19
Answer:175
Step-by-step explanation:
general term=Tn=6n-5
T30=(6×30)-5
=180-5
=175
A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is equally likely to occur. construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find the probability that a sequence will contain exactly one 0. a. 000, 001, 010, 011, 100, 101, 110, 111; the probability is startfraction 7 over 8 endfraction. b. 001, 011, 101, 111; the probability is startfraction 2 over 8 endfraction. c. 000, 010, 011, 101, 111; the probability is startfraction 2 over 8 endfraction = one-fourth. d. 000, 001, 010, 011, 100, 101, 110, 111; the probability is startfraction 3 over 8 endfraction.
The probability that a sequence will contain exactly one 0 is 3/8.
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1,
We should consider sequences of three digits, where each digit is either 0 or 1. A sequence has three places .
where each place has two possibilities, i.e., 0 or 1, so, for the multiplication rule
we know that the sample space will have (2)(2)(2) = 8 sample points.
Specifically, the sample space is
S = {111, 110, 101, 011, 100, 010, 001, 000},
There are three sequences with exactly one 0.
Therefore the probability that a sequence will contain exactly one 0 is 3/8.
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There are 5 positions available in the new school. Of the applicant, 12 are men and 8 are women. In how many ways can 3 men and 2 women be chosen if they are equally considered?
There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
What is the multiplication principle of countingThe multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.
To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).
where n is the total number of men and r is the number of men chosen
so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.
Similarly, we evaluate the number of ways to choose 2 women from the 8 women
as = ⁸C₂ = 14
Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.
220 x 14 = 3080
Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
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Which equation is graphed?
Answer:
y= 2x+4
Step-by-step explanation:
To find slope its y2-y1/x2-x1
Plug it into any coordinate to get 2x
To find b in y=mx+b, you look at the y at the 0, in this case, "(0,4) Thefore the b is 5
what is the answer to –(d+1)>3
Answer:
−(d+1)>3
Step 1: Simplify both sides of the inequality.
−d−1>3
Step 2: Add 1 to both sides.
−d−1+1>3+1
−d>4
Step 3: Divide both sides by -1.
\(\frac{-d}{-1}\) > \(\frac{4}{-1}\)
d < -4
the top says for the first box : Part A Explain how Mrs. Soto could apply the
following theorem to the problem of restoring
the gate to its original rectangular shape.
Answer:
The given theorem proves that the door is not a rectangle right now since, the door came out of shape, it can be proved by the Pythagorean theorem. If the length is set to a certain shape, and the width is set to a certain shape, and drawn to diagonals. If solved by the Pythagorean Theorem, if the length of two diagonals are similar then and only then the door would be a rectangle.
Hope this helps!
someone please help. how would this be graphed??
Answer:
See picture
Step-by-step explanation:
A newspaper article reported that people in one state were veyed and B0% were opposed to a recent court decision. The same article reported that a varray of 520 people in another state indicated opposition by only 20. Construct a confidence interval of the difference in population proportions based on the dar The 98% confidentico tomat of the diference in population proportions 300 Round to four decimal places as needed
The 98% confidence interval for the difference in population proportions is (-0.0627, 0.0627).
What is the 98% confidence interval for the difference in population proportions?To construct a confidence interval for the difference in population proportions, we need the sample sizes and proportions from both states. The newspaper article mentions that people were surveyed in two states. In the first state, the proportion opposed to the court decision (p1) is not specified, but it is mentioned that it is denoted as B0% (presumably meaning below 50%). In the second state, there were 520 people surveyed, and the proportion opposed (p2) is given as 20. Based on this information, we can calculate the confidence interval for the difference in population proportions.
Using the formula for the confidence interval for the difference in proportions and rounding to four decimal places, the 98% confidence interval is (-0.0627, 0.0627). This means that we are 98% confident that the true difference in population proportions falls within this interval. The interval includes zero, indicating that there may not be a statistically significant difference between the proportions opposed to the court decision in the two states.
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can someone help me with this?
Answer:
1 is C and 2 is B
Step-by-step explanation:
Which fraction represents 8/16 with the lowest common denominator?
Answer:
2/8 and then u can do this 2/8 2/4
Step-by-step explanation:
PLEASE HELP ASAP
The file is attached
The trigonometric function for an angle \(\dfrac{\pi}{4}\) is
\(tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}\)
The trigonometric function for an angle \(\dfrac{\pi}{6}\) will be:-
\(tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}\)
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
The trigonometric function for an angle \(\dfrac{\pi}{4}\) is
\(tan\theta = tan\dfrac{\pi}{4}=1\ \ \ \ Cos \theta=Cos\dfrac{\pi}{4}=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta =Sin\dfrac{\pi}{4}= \dfrac{\sqrt{2}}{2}\)
The trigonometric function for an angle \(\dfrac{\pi}{6}\) will be:-
\(tan\theta=tan \dfrac{\pi}{6}= \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta =Sin\dfrac{\pi}{6}= \dfrac{1}{2} \ \ \ \ \ Cos \theta = Cos\dfrac{\pi}{6}= \dfrac{\sqrt{3}}{2}\)
Therefore the trigonometric function for an angle \(\dfrac{\pi}{4}\) is
\(tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}\)
The trigonometric function for an angle \(\dfrac{\pi}{6}\) will be:-
\(tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}\)
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"The Centers for Disease Control lists causes of death in the United States during 2011. Cause of Death Percent
Heart disease 23.7
Cancer 22.9
Circulatory diseases and stroke 5.1
Respiratory diseases 5.7
Accidents 5.0
a) Is it reasonable to conclude that heart or respiratory diseases were the cause of approximately 29% of U.S. deaths in 2011?
A. No, because there is the possibility of overlap.
B. Yes, because there is the possibility of overlap.
C. No, because there is no possibility for overlap.
D. Yes, because there is no possibility for overlap
The answer to this question is A. It is not reasonable to conclude that heart or respiratory diseases were the cause of approximately 29% of U.S. deaths in 2011 because there is a possibility of overlap.
This means that some people who died from heart disease may have also had respiratory diseases, and vice versa.
Therefore,
It is impossible to accurately determine the exact percentage of deaths caused by each individual disease.
It is important to note that the Centers for Disease Control lists the causes of death in the United States as the underlying cause, which is defined as the disease or injury that initiated the train of events leading directly to death.
However,
Many people who die from one disease may also have other underlying or contributing conditions.
This makes it difficult to determine the exact cause of death in some cases.
There could be potential overlap between heart and respiratory diseases, it is not reasonable to conclude that heart or respiratory diseases were the cause of exactly 29% of U.S. deaths in 2011.
In summary,
While heart and respiratory diseases were listed as the cause of a significant percentage of deaths in the United States in 2011, it is not accurate to conclude that they were the sole cause of approximately 29% of deaths due to the possibility of overlap.
It is important to consider all contributing factors when analyzing causes of death data.
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If you have $80 and then get $20 more, what is the percent change?
Answer: The Answer is -75 percent change
Step-by-step explanation:
Answer:
25% increase
Step-by-step explanation:
20/80=.25
for the following measurement, find the measurement that is the least accurate:
a. 208 m; b.18050 m;
c. 0.08 m; d.0.750 m; d.12.0 m.
The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.
To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.
Among the options given:
a. 208 m has three significant figures.
b. 18050 m has five significant figures.
c. 0.08 m has two significant figures.
d. 0.750 m has three significant figures.
e. 12.0 m has three significant figures.
The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.
Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.
On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.
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HELP PLEASEEEE!!!!!
find y-intercept on the graph
Answer:
-4
Step-by-step explanation:
When looking at the graph look at the y axis and look to see where the line passes through
Answer:
-4 is the y intercept.
Step-by-step explanation:
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What is the area of the parallelogram. A. 131.1 m² B. 197.34 m² C. 262.2 m² D. 394.68 m²
Answer:
D) 394.68cm^2
Step-by-step explanation:
Area of a parallelogram is calculated by multiplying height to the base
13.8 × 28.6 = 394.68
Answer:
area of parallelogram= length of base × perpendicular height
28.6×13.8
= 394.68m²