Answers
Multiplying a matrix by a scalar is equivalent to multiplying each entry in the matrix by that scalar:
[tex]A=\begin{bmatrix}0&-3\\-5&5\end{bmatrix}\implies3A=\begin{bmatrix}0&-9\\-15&15\end{bmatrix}[/tex]
[tex]B=\begin{bmatrix}-2&-6\\2&5\end{bmatrix}\implies-6B=\begin{bmatrix}12&36\\-12&-30\end{bmatrix}[/tex]
Now combine them:
[tex]3A-6B=3A+(-6B)=\begin{bmatrix}0+12&-9+36\\-15+(-12)&15+(-30)\end{bmatrix}=\begin{bmatrix}12&27\\-27&-15\end{bmatrix}[/tex]
Related Questions
What is 5 to the second power
Answers
Answer:
25
Step-by-step explanation:
5 times 5
5x5=25
hope this helps
A number is equal to the difference of four times the number and 18
Answers
Answer:
X = 4x-18
Step-by-step explanation:
X = “a number”^^
There are 454 grams in a pound. Convert 330 grams to ounces.
Answers
11.6 ounces
330g x 1lb/454g x 16oz/1lb = 11.6 ounces
If the conversion factors are properly set up and all numbers are correct, the unwanted units cancel out leaving the units of the final answer. (citing my source usa test prep but i worked it out.)
What is the volume of a sphere with a radius of 7 centimetres?
Use 3.14 for pi. Round your answer to the nearest hundredth. Use the formula provided.
V=
1077.02 cm3
1436.03 cm3
1975.43 cm3
11,494.04 cm3
Answers
Answer:
[tex]V=1436.03 \ cm^3[/tex]
The second choice provides the correct answer.
Step-by-step explanation:
The Volume of a Sphere
The volume of a sphere of radius r is given by:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
The radius of the sphere is r=7 cm, thus:
[tex]\displaystyle V=\frac{4}{3}\cdot 3.14\cdot 7^3[/tex]
[tex]V=1436.03 \ cm^3[/tex]
Note: We have used an approximated value for pi=3.14.
The volume of the sphere rounded to the nearest hundredth is
[tex]\boxed{V=1436.03 \ cm^3}[/tex]
The second choice provides the correct answer.
please help it’s due in a couple of min
Answers
Answer:
C
I have done this.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The first 3 answer is wrong so Its d
What is the solution of a - 3 = -7
Answers
Answer:
-4
Step-by-step explanation:
take -3 to other side or add 3 to both sides
So, a=-7+3
=-4
Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 12 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Charles, Margaret, and Sean are chosen?
Answers
Using the combination formula, it is found that the probability that you, Charles, Margaret, and Sean are chosen is:
[tex]p = \frac{1}{495}[/tex].
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 4 people will be chosen from a set of 12, hence the number of ways to choose them is:
[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]
The desired combination is only one, hence the probability is:
[tex]p = \frac{1}{495}[/tex].
More can be learned about the combination formula at https://brainly.com/question/25821700
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Every quarter, the Food and Drug Administration (FDA) produces a report called the Total Diet Study. The FDA's report covers a variety of food items, each of which is analyzed for potentially harmful chemical compounds. A Total Diet Study reported that no pesticides at all were found in % of the domestically produced food samples. Consider a sample of food items analyzed for the presence of pesticides. Complete parts a and b. a. Compute and for the random variable x, the number of food items found that showed no trace of pesticide. nothing (Type an integer or a decimal.)
Answers
Answer:
a) Mean = 600
Standard deviation = 12.24
B)No it is not likely because our probability of no pesticide is 75% which means that more than half of food items are without any pesticide
Step-by-step explanation:
Total number of food items = 800
We are given that no pesticides were found at all in 75% of domestically produced food samples.
So, Probability of success = p = 0.75
Probability of failure = q = 1-p = 1-0.75=0.25
Now we are supposed to find [tex]\mu[/tex] and [tex]\sigma[/tex] for random variable x
a) Mean = E(x)= [tex]n \times p = 800 \times 0.75=600[/tex]
Standard deviation =[tex]\sqrt{npq}=\sqrt{800 \times 0.75 \times 0.25}=12.24[/tex]
b)Is it likely that you would observe fewer than half of the food items without any traces of pesticides ? Why or why not ?
No it is not likely because our probability of no pesticide is 75% which means that more than half of food items are without any pesticide
Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression.
Y=3^x;3^1.2
A. 1;3.7
B. 1;2.9
C. 0;3.9
D. 0;3.5
Answers
Answer: Its A) 1 ; 3.7
Step-by-step explanation:i just took the practice on edge 2020
Please help me out!
On a unit test in statistics class, the teacher determines that the mean test grade was 77.5 with a standard deviation of 5.2. What is the test grade, rounded to the nearest whole number, with a z-score of 2.4?
A.65
B.83
C.90
D.95
Answers
Answer:
C: 90
Step-by-step explanation:
Will mark brainliest
Answers
Answer: The third option
y = -6 + 2√6 ÷ 5 and y = -6 - 2√6 ÷ 5
Plz mark brainliest:)
Is the function even, odd, or neither?
Answers
Answer:
The function is neither even or odd
Step-by-step explanation:
What is 1 hundredth ÷ 10?
1 hundredth ÷ 10 =
Answers
Answer:
.001 or 1 thousandth
Step-by-step explanation:
.01/10=.001
The price of lunch increased from $4.00 to $5.00 . What is the percent increase?
Answers
Answer: 1% ?
Step-by-step explanation:
Answer:
That is a 25% increase
Step-by-step explanation:
Hope this helps!!
if f(x) = 6(x - 2)3 + 5, what is the y- intercept?
Answers
Answer:
y= (0, -31)
Step-by-step explanation:
Hope this helps
I can't solve this problem: 47 x 98= ( ? x 47)-(2 x 47)
Answers
Answer:
The answer to your question is:
2 and -49
Step-by-step explanation:
2 x -49 = -98
2 + (-49) = -47
x2 - 47x - 98 = 0
The solution to factor the quadratic equation above is:
(X + 2 ) (X - 49)
Since 2 and -49 multiply to -98 and add up -47, you know that the following is true:
x2 - 47x - 98 = (X + 2 ) (X - 49)
peter says, "If you subtract 11 from my number and multiply the difference by -2, the result is -26." What is Peter's number?
Answers
Answer:
24
Step-by-step explanation:
Reverse
-26/-2= 13
13+11=24
Check
24-11=13
13×-2= -26
I beleive the answer is 7.5 because -26 plus 11 = -15 then -15 divided by -2 = 7.5
this is probably wrong I didnt do it on paper
what is 100,789,388,369,012 times 479,000,000
Answers
Answer:
4.8278117e+22
Step-by-step explanation:
Pls mark brainliest
The circumference of a circle can be found using the formula C = 2tr.
Answers
Answer:
r = c/2pi
Step-by-step explanation:
The amount of milk that the bakery used this month was a 75% decrease relative to last month. What is the new amount of milk using percent?
Answers
Answer:
25%
Step-by-step explanation:
the answers
The new amount of milk using percent is 25.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then the percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We are given that the amount of milk that the bakery used this month was a 75% decrease relative to last month.
Therefore, for last month, we have a rectangle with four equal areas 75% decrease,
we have to remove 3 areas to make the remaining = 25%
So, the difference will give a 75% decrease
Learn more about percent here:
https://brainly.com/question/11549320
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g The average lifespan for a certain type of vehicle is 8 years and follows an exponential distribution. A lot contains 200 of these vehicles, brand new. What is the probability that 50 or more of them fail in the first 2 years
Answers
Answer:
The probability is [tex]P(A \ge 50 ) = 0.14321[/tex]
Step-by-step explanation:
The average life span is [tex]\pi = 8[/tex]
The sample size is n = 200
Generally we are told that average lifespan for a certain type of vehicle follows an exponential distribution
i.e
[tex]X \~ \ \ \ exp(8)[/tex]
Gnerally the probability distribution function for exponential distribution is
[tex]f(x) = \left \{ {{\lambda * e^{-\lambda * x }\ \ \ x\ge 0 } \atop {0 \ \ \ \ \ \ \ \ \ \ x < 0}} \right.[/tex]
Now [tex]\lambda[/tex] is the constant which is evaluated as
[tex]\lambda = \frac{1}{\pi}[/tex]
=> [tex]\lambda = \frac{1}{8}[/tex]
=> [tex]\lambda = 0.125[/tex]
Generally the that the vehicles will fail in less than 2 years is mathematically represented as
[tex]P(X \le 2 )= p= \int\limits^2_0 {\lambda e^{- \lambda * x} } \, dx[/tex]
[tex]P(X \le 2 )= p= [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * x} } ]|\left 2 } \atop {0}} \right.[/tex]
[tex]P(X \le 2 )= p= [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * 2} } ] - [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * 0} } ][/tex]
[tex]P(X \le 2 )= p= -0.77880 + 1[/tex]
[tex]P(X \le 2 )= p= 0.2212[/tex]
Generally the probability that the vehicle will fail in the first 2 years follows a binomial distribution with the mean evaluated as
[tex]\mu = n * p[/tex]
=> [tex]\mu = 200 * 0.2212[/tex]
=> [tex]\mu = 44.24[/tex]
The standard deviation is
[tex]\sigma = \sqrt{np(1 - p)}[/tex]
[tex]\sigma = \sqrt{200 * 0.2212 (1 - 0.2212)}[/tex]
[tex]\sigma = 5.86[/tex]
Using normal approximation of binomial distribution the probability that 50 or more of them fail in the first 2 years is mathematically represented as
[tex]P(A \ge 50 ) = 1 - P(A < 50 )[/tex]
Applying continuity correction
[tex]P(A \ge 50.5 ) = 1 - P(A < 50.5 )[/tex]
Here
[tex]P(A < 50.5 ) = P(\frac{A - \mu }{\sigma} < \frac{50 - 44.24}{5.87} )[/tex]
Generally
[tex]\frac{A - \mu }{\sigma} = Z (The \ standardized \ value \ of A )[/tex]
=> [tex]P(A < 50.5 ) = P( Z < 1.0664 )[/tex]
From the z-table the probability value of ( Z < 1.0664 ) is
[tex]P( Z < 1.0664 ) = 0.85679[/tex]
So
[tex]P(A \ge 50 ) = 1 - 0.85679[/tex]
=> [tex]P(A \ge 50 ) = 0.14321[/tex]
HELP ME get the altitude!!!!!
Answers
Write an equation for a line perpendicular to y= -4x - 3 and passing through the point (-4,2)
Answers
Answer:
y = (x/4) + 3
what is the equation of the line for figures G and
H
Answers
Answer:
B = C + (C - A) = (51/50 + 51/50 - 2, 457/50 + 457/50 - 9) = (1/25, 232/25).
Step-by-step explanation:
how do you find the solution to this inequality? please explain to me step by step how to do this
x - 8 > -3
Answers
Answer:
x > 5
Interval form: (5, infinity)
Step-by-step explanation:
Just add 8 to both sides of the inequality:
x > 5
Therefore, x must be greater than 5.
Which are removable discontinuities?
x = -2
x = -2 and x = 0
x = 0 and x = 4
x = -2, x = 0, and x = 4
Answers
Answer:
C
Step-by-step explanation:
Got it right on eng
Answer:C
Step-by-step explanation:
Felipe has a flower bed
Answers
Answer:
man thats cool
Step-by-step explanation:
Find the perimeter of the rectangle.
5 in.
9 in.
Answers
Answer:
28 inches
Step-by-step explanation:
134d) Graph the hyperbola, identify the center, vertices, foci, and equations of the asymptotes
49y^2−25x^2−196y−200x−1429=0
IF YOU ARE GOOD AT MATH, PLEASE HEAD OVER TO MY PROFILE, IN THE QUESTIONS TAB AND ANSWER THE QUESTIONS STARTING FROM THE ONE MARKED 132B!
best answers get marked 'brainliest'!
Thank you!
Answers
Answer:
Step-by-step explanation:
49y^2 - 25x^2 - 196y - 200x = 1429
49y^2-196y+196 - 25x^2-200x-400 = 1429+196-400
49(y-2)^2 - 25(x+4)^2 = 1225
(y-2)^2/25 - (x-4)^2/49 = 1
So now you know that you have an hyperbola with
center at (-4,2)
foci at (-4,2±[tex]\sqrt{74}[/tex])
vertices at (-4,2±5)
asymptotes 7y±20 = ∓5x+14
what number is 100 more than 152
Answers
Answer:
252
Step-by-step explanation:
252-
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful for who u r, not wht u look like. no matter ur shape, size, color, gender.. anything
don't give up bby i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life