False.
If A is a 5×4 matrix and B is a 4×3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.
If A is a 5×4 matrix and B is a 4×3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.
To see why, let C = AB be the product of A and B. Then, by definition, the entry in the i-th row and j-th column of C is given by the dot product of the i-th row of A and the j-th column of B. That is, Cij = Ai1B1j + Ai2B2j + ... + Ai4B4j, where Ai1, Ai2, ..., Ai4 are the entries in the i-th row of A and B1j, B2j, ..., B4j are the entries in the j-th column of B.
So, in this case, the entry in the 3rd row / 2nd column of C is given by C32 = A31B12 + A32B22 + A33B32 + A34B42. This involves multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.
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suppose that on a 100-point test, the teacher's goal is for her students' exam scores to have a standard deviation of at most 8 points. a recent sample of 25 exams has a sample standard deviation of 9.5. test whether or not her goal was achieved using a 5% level of significance. calculate the appropriate test statistic (round to 2 decimal places as needed)
we can say that the teacher's gοal οf a standard deviatiοn οf at mοst 8 pοints was achieved, at a 5% level οf significance.
What is standard deviatiοn?A measure οf a grοup οf values' variance οr dispersiοn in statistics is called the standard deviatiοn. When the standard deviatiοn is lοw, the values are mοre likely tο fall within a narrοw range, alsο knοwn as the expected value, whereas when the standard deviatiοn is high, the values tend tο be clοser tο the mean.
The lοwercase Greek letter sigma, which stands fοr the pοpulatiοn standard deviatiοn, οr the Latin letter s, which stands fοr the sample standard deviatiοn, are mοst frequently used in mathematical equatiοns and texts tο represent standard deviatiοn. Standard deviatiοn is alsο sοmetimes referred tο as SD.
suppοse that οn a 100-pοint test, the teacher's gοal is fοr her students' exam scοres tο have a standard deviatiοn οf at mοst 8 pοints.
chi²\(= (n-1)*s^2 /\sigma^2\)
where n is the sample size, s is the sample standard deviatiοn, and sigma is the hypοthesized pοpulatiοn standard deviatiοn under the null hypοthesis.
In this case, n = 25, s = 9.5, and sigma = 8. Substituting these values, we get:
chi² \(= (25-1)*9.5^2 / 8^2 = 33.64\)
The degrees οf freedοm fοr this test is n-1 = 24. Using a chi-squared table with 24 degrees οf freedοm, we find that the critical value fοr a οne-tailed test at a 5% level οf significance is 36.42.
Therefοre, we can say that the teacher's gοal οf a standard deviatiοn οf at mοst 8 pοints was achieved, at a 5% level οf significance.
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Halp me this question
The fact family of the numbers are given by
a) 4 , 7 , 11
b) 2 , 6 , 8
c) 5 , 4 , 9
d) 9 , 7 , 16
Given data ,
Numbers that do not form a fact family are any set of numbers that do not follow this pattern.
And , fact family of the numbers are given by
a) 4 , 7 , 11
b) 2 , 6 , 8
c) 5 , 4 , 9
d) 9 , 7 , 16
Hence , the fact family of numbers are solved
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12. A bird is flying 23 ft above sea level while a dolphin follows the bird from
5 ft below sea level. Which equation shows the correct calculation for the
distance between the bird and the dolphin?
Answer:
23-5=18
Step-by-step explanation:
ok so 23 feet above would be positive 23 but 5 ft below would be negitive so you write 23-5 and then solve
help me out? :)
don't guess, if u dont know just dont answer. NO LINKS.
Answer:
A cube
Step-by-step explanation:
If you fold it, you'll see
What should we find in order to determine how many square feet of plywood are needed to make a rectangular prism
Answer:
surface area
Step-by-step explanation:
A rectangular prism is an optical element which is transparent with flat sides that can pass or reflect light. A rectangular prism is a cube where all its sides are the same.
In the context, in order to find the total square feet of plywood needed to make a prism we have to determine its surface area.
The total surface area of a rectangular prism can be found out by the formula :
A = 2 (hl + lw + wh)
where, h = height of the rectangular prism
l = length of the rectangular prism
w = width of the rectangular prism
Sondra gets $75 a week, plus 10 percent of sales.
Which equation best represents her salary?
y = 0.10x + 75
y = -0.10 x + 75
y = 75x + 0.10
y = -75x + 0.10
The equation adds 0.10x to her fixed salary of $75 to find her total salary based on her sales.
What is the equivalent expression?
Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.
The correct equation that represents Sondra's salary is:
y = 0.10x + 75
In this equation, "y" represents Sondra's salary and "x" represents her sales.
The equation states that Sondra earns a fixed weekly salary of $75, and in addition to that, she earns a commission of 10% of her sales.
Hence, the equation adds 0.10x to her fixed salary of $75 to find her total salary based on her sales.
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help I will give brainiest what is the solution
Answer:
(0,-1), y, 3, 3 up, 1 right
(0,1), y, 1 up, 1 right
Step-by-step explanation:
just fill in the blanks in the order of these answers
Need help ASAP
You don’t need to explain, pls respond as fast as possible. Thank you
Answer:
One is 8x+12y= 112
Step-by-step explanation:
I don't know if it's right tho. SO don't come at me.
What’s the answer I don’t know it
Answer:
BE=DE and AE=CE (the order of these 2 does not matter)
Vertical Angles
SAS
Step-by-step explanation:
77. The yearly cost of tuition (in-state) and required fees for
attending a public two-year college full time can be esti-
mated by the linear function f(x) = 64x + 2083, where x
is the number of years after 2000 and f(x) is the total cost.
(Source: The College Board)
a. Use this function to approximate the yearly cost of
attending a two-year college in the year 2016. (Hint: Find
f(16).]
b. Use the given function to predict in what year the yearly
cost of tuition and required fees will exceed $3200. [Hint:
Let f(x) = 3200, solve for x, then round your solution
up to the next whole year.]
c. Use this function to approximate the yearly cost of
attending a two-year college in the present year. If you
attend a two-year college, is this amount greater than or
less than the amount that is currently charged by the col-
lege you attend?
Answer:
a. \(\$3107\)
b. 17 years
c. The amount that is currently charged by the college you attend is much higher than the amount charged in two-year college in the present year.
Step-by-step explanation:
a.
\(f(x)=64x+2083\)
Here, x is a the number of years after 2000 and f(x) is the total cost.
To approximate the yearly cost of attending a two-year college in the year 2016, find \(f(16)\).
\(f(16)=64(16)+2083\\\\=1024+2083\\\\=\$3107\)
b.
To predict in what year the yearly cost of tuition and required fees will exceed $3200, solve \(f(x)=3200\)
\(64x+2083=3200\\\\64x=3200-2083\\\\=1117\\x=\frac{1117}{64}\\\\ =17.45\)
So,
x is approximately equal to 17 years.
c.
The present year is 2020.
To approximate the yearly cost of attending a two-year college in the present year, find \(f(20)\)
\(f(20)=64(20)+2083\\\\=1280+2083\\\\=\$3363\)
The amount that is currently charged by the college you attend is much higher than the amount charged in two-year college in the present year.
The Mona Lisa is a painting of Lisa del Giocondo. In one sketch, Leonardo used a scale factor from the sketch to real life of about
1:5. If her face was 8 inches long, how long was it in the sketch?
Applying the scale factor of 1:5, Lisa del Giocondo's face was 1.6 inches long in the sketch.
How to Apply Scale Factor?If the scale factor from the sketch to real life is 1:5, then it means that every inch in the sketch represents 5 inches in real life.
Therefore, to find out how long Lisa del Giocondo's face was in the sketch, we need to multiply the real-life length of her face by the inverse of the scale factor, which is 1/5.
If her face was 8 inches long in real life, then her face in the sketch would be:
8 inches * (1/5) = 1.6 inches
Therefore, based on the scale factor given, Lisa del Giocondo's face was 1.6 inches long in the sketch.
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The following list gives the number of public libraries in each of 11 cities.
6, 6, 4, 5, 4, 6, 8, 4, 5, 5, 7
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, put "No mode."
Answer:
mode is 6
Step-by-step explanation:
it appears four times whereas no other number appears more than three times
quantitative measures
Quantitative measures play a crucial role in answering research questions by providing numerical data, which allows for precise analysis and interpretation of results. This type of measurement is often used in combination with qualitative methods to gain a comprehensive understanding of the subject under study.
Quantitative measures are numerical values that can be used to assess various aspects of a situation, process, or outcome. These measures are often used in research studies to provide objective data that can be analyzed statistically. There are three main types of quantitative measures: nominal, ordinal, and interval/ratio. Nominal measures are used to categorize data into groups based on shared characteristics, such as gender or race. These measures do not have any inherent order or ranking.
Ordinal measures rank data in order from lowest to highest, but do not provide any information on the magnitude of the differences between values. For example, a Likert scale that asks respondents to rate their agreement with a statement on a scale of 1 to 5 is an ordinal measure. Interval/ratio measures provide information on both the order and magnitude of differences between values. Examples of interval measures include temperature in Celsius or Fahrenheit, while examples of ratio measures include weight and height.
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Which shows two triangles that are congruent by the SSS congruence theorem?
O
O
O
A
B
B
B
B
E
E
C
C
D
D
E
W
The second option shows a pair of triangles which are congruent by the SSS congruence theorem.
What is the SSS congruence theorem?The SSS (Side - Side - Side) congruence theorem states that if two triangles have three sides that are congruent to each other, then the two triangles are congruent by the SSS theorem.
The congruent sides for the second option are given as follows:
AB and DE.BC and DC.AC and CE.More can be learned about congruence theorems at brainly.com/question/3168048
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If α and β are the zeroes of the polynomial ax^2 + bx + c, find the value of α^2 + β^2
Answer:
Step-by-step explanation:
α + β = -b/a
αβ = c/a
α² + β² = (α + β)² - 2αβ
\(= (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}\)
Which statement is true?
1 yard = 10 inches
1 yard = 12 inches
1 yard = 16 inches
1 yard = 36 inches
Answer:
1 yard = 36 inches.
a
s
a
a
aa
a
a
a
a
aa
Solve the equation 12a2 + a – 35 = 0
Answer:
Step-by-step explanation:
Factor to solve.
12a2 + a – 35 = 0
>Multiply the first and the last, 12 and -35
(12)(-35) = -420
> Find 2 numbers that multiply to -420 but add to middle term, 1
-20 and +21 multiply to -420 but adds to 1
>Replace the middle term with -20 and 21
12a² + a – 35 = 0
12a² + 20a - 21a – 35 = 0
>Group the first 2 and last 2 terms
( 12a² + 20a) (- 21a – 35) = 0
>Take out GCF from each of the groupings
4a ( 3a + 5) -7(3a + 5) = 0
>Take out GCF (3a + 5)
( 4a - 7) ( 3a + 5) = 0
>Set each =0 and solve for a
( 4a - 7) = 0 ( 3a + 5) = 0
a=7/4 a = -5/3
a ramp goes from a doorway of a building to the ground. the end of the ramp connected to the doorway is feet above the ground. the horizontal distance from the bottom of the ramp to the building is 15 feet. what is the angle of elevation of the ramp to the nearest degree?
The angle of elevation of the ramp to the nearest degree is 34°.
we can use trigonometry to determine the angle of elevation of the ramp.To begin, we need to draw a diagram to visualize the problem.
Let's assume that the height of the end of the ramp is h, and the horizontal distance from the bottom of the ramp to the building is d.
From the diagram, we can see that we have a right-angled triangle where the height of the triangle is h, the base of the triangle is d, and the hypotenuse of the triangle is the length of the ramp.
Using the tangent ratio, we can write:
tanθ = opposite/adjacent
where opposite is the height of the triangle, and adjacent is the base of the triangle. Substituting the values we have, we get:
tanθ = h/d
Rearranging this formula, we can write:
θ = tan⁻¹(h/d)
Substituting the values we have, we get:θ = tan⁻¹(10/15)θ = 33.69°
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which graph represents a line perpendicular to the line with the equation y=-1/5x+6?
Answer:
y = 5x + 6
Step-by-step explanation:
Remember:
Parallel: The slope is the same
Perpendicular: The slope is the opposite reciprocal
If we look at the equation \(y=-\frac{1}{5}x+6\), it is in slope intercept form and its slope is -1/5. Now, we will first need to flip the fraction and get rid of the negative sign.
\(y=5x+6\)
And we are done!
A packing box measures 36 centimeters by 14 centimeters by 20 centimeters. What is the volume of the box?
Answer:
1000
Step-by-step explanation:
first you times 36 by 14 witch equals 54. Then do 54 x 20 = 1000 the 4 is gone because of the zero. So your answer should be 1000
Which expression is equivalent to 4/9(2n – 3)?
Answer:
8/9n - 1 1/3
Step-by-step explanation:
evaluate the expression when a=-7 and c=6. a-6c
Answer:
-43
Step-by-step explanation:
(-7) - 6(6)= -43
please help:) which answer represents 4.72 times 10 to the 10th power? A. 472,000,000,000 B. 4,720,000,000 C. 47,200,000,000 D. 472,000,000
Answer:
C
Step-by-step explanation:
4.72×10^10
4.72×1000000000
move the point(.) ten times to your right. after first two movements
you'll have 472 remaining 8 digits to make
47200000000
4/5 + 2 /5 ÷ 2/ 3(they are fractions)PLEASE HURRY
Answer:
1.4 or in fraction form 7/5
Step-by-step explanation:
Hope this is what you were looking for
a barbershop staffed with only one barber receives an average of 20 customers per day. the mean service time averages about 20 minutes per customer. assuming that the customer arrival follows a poisson distribution and the service time follows an exponential distribution. answer the following questions knowing that the barber works only for 8 hours a day: if a guy walks into this barbershop, what is the average number of customers in the barbershop he should expect to see?
the average number of customers in the barbershop that a guy should expect to see is 5.
To find the average number of customers in the barbershop that a guy should expect to see, we need to calculate the average number of customers present in the system, which includes both those being served by the barber and those waiting in the queue.
Let's denote:
λ = average customer arrival rate per day = 20 customers/day
μ = average service rate per day = 60 minutes/hour / 20 minutes/customer = 3 customers/hour
Since the barber works for 8 hours a day, the average service rate per day is 8 hours * 3 customers/hour = 24 customers/day.
Using the M/M/1 queuing model, where arrival and service times follow exponential distributions, we can calculate the average number of customers in the system (including the one being served) using the following formula:
L = λ / (μ - λ)
L = 20 customers/day / (24 customers/day - 20 customers/day)
L = 20 customers/day / 4 customers/day
L = 5 customers
Therefore, the average number of customers in the barbershop that a guy should expect to see is 5.
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A math student made the following conjecture:
When you add a multiple of 5 and a multiple of 8, the answer is a multiple of 5.
Which of the following numbers can be used as a counterexample to the conjecture?
A. 80 + 8 = 88
B. 16 + 16= 32
C. 10 + 5 = 15
D. 10 + 40 = 50
Answer:
D is the answer
Step-by-step explanation:
10 is multiple of 5 and 40 is the multiple of 8
50 is the multiple of 5
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Experimental Probability Q/ During archery practise, Tom hits the target on 14 put of 20 tries. What is the experimental probability that he will hit the target on his next try? Write your answer as a fraction, decimal and percentage.
The experimental probability of an event is calculated by dividing the number of successful outcomes (in this case, hitting the target) by the total number of trials. In this scenario, Tom hits the target on 14 out of 20 tries. To find the experimental probability of hitting the target on his next try, we divide 14 by 20. The result can be expressed as a fraction, decimal, and percentage.
The experimental probability of hitting the target on the next try is found by dividing the number of successful outcomes (hitting the target) by the total number of trials. In this case, Tom hits the target on 14 out of 20 tries. Therefore, the experimental probability is:
Experimental probability = Number of successful outcomes / Total number of trials
= 14 / 20
= 7 / 10
The fraction 7/10 represents the experimental probability of hitting the target on the next try.
To express the experimental probability as a decimal, we divide the numerator by the denominator:
Decimal form = 7 / 10
= 0.7
Thus, the experimental probability can be expressed as 0.7.
To convert the decimal into a percentage, we multiply the decimal by 100:
Percentage form = 0.7 * 100
= 70%
Hence, the experimental probability of Tom hitting the target on his next try is 7/10, 0.7, or 70%.
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find an equation of the tangent line to the given curve at the specified point. y = e^x / x , (1, e)
y = e is the equation of the tangent line to the given curve at the specified point , y = \(e^{x}\) / x , (1, e)
Through the coordinate geometry formal of point-slope form, the equation of tangent and normal can be calculated.
The tangent has the equation (y - y1) = m(x - x1), and a normal travelling through this point and perpendicular to the tangent has the equation (y - y1) = -1/m (x - x1).
thus , y' = \(\frac{e^{x}-xe^{x} }{x^{2} }\)
y'(1) = 0 = m
Our slope is indicated by the horizontal line.
y−\(y_{1}\)=m(x−\(x_{1}\))
Our line will simply be our y-coordinate because our slope(m) is 0:
e
Therefore:
The tangent line's equation is y=e.
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i invest 800 into a bank that pays 1.25% what money will i have per annum
To calculate the amount of money you will have per annum after investing $800 in a bank that pays a 1.25% interest rate, you can use the formula for simple interest:
Amount = Principal + (Principal * Rate)
Where:
Principal is the initial investment amount ($800 in this case)
Rate is the interest rate (1.25% or 0.0125 as a decimal)
Let's calculate the amount:
Amount = $800 + ($800 * 0.0125)
Amount = $800 + $10
Therefore, the amount of money you will have per annum after investing $800 with a 1.25% interest rate is $810.
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What is the hypothesis of the statement?
"I will plant flowers if I have potting soil."
I will plant flowers.
If I do not have potting soil.
I will not plant flowers.
If I have potting soil.
Answer:
The answer is D. If I have potting soil.
Step-by-step explanation:
I just took the quiz (K12) Hope this helps!