Answer:
[4 0]
Step-by-step explanation:
Given that:
[tex]A=[3\ \ 0], B=[-1\ \ 0][/tex]
Matrices is an array of numbers, symbols and expressions arranged in rows and columns. Matrices can be used to solve system of equations. Many mathematical operations can be done on matrices such as addition, subtraction, multiplication, scalar multiplication and so on.
Addition and subtraction of two matrices can be done if they have the same dimensions. This is done by simply adding or subtracting the corresponding entries in matrices.
[tex]A=[3\ \ 0], B=[-1\ \ 0]\\\\A-B=[3-(-1) \ \ 0-0]=[4\ \ 0][/tex]
A 23.9 foot tall streetlight casts a shadow that is 17.7 feet long. How long is the shadow cast by a nearby parking meter that is 3.6 feet high?
Answer:
2.67 feet long
Step-by-step explanation:
Create a proportion where x is the length of the parking meter's shadow:
[tex]\frac{23.9}{17.7}[/tex] = [tex]\frac{3.6}{x}[/tex]
Cross multiply and solve for x:
23.9x = 63.72
x = 2.67
So, the parking meter's shadow is approximately 2.67 feet long
Prove that the point (2, 1) lies on the line with equation y = 3x – 5.
Answer:
3(2) - 5 = 1
Step-by-step explanation:
y = 3x - 5
(x, y)
plug x and y in
1 = 3(2) - 5
1 = 6 - 5
1 = 1
true
How do you find the slope from a equation
Answer:
For example the equation is y=3x+4 ... the slope would be 3
It's the number coming before the x variable
A.y=-x+0.5
B.y=-x-0.5
C.y=x+0.5
D.y=x-0.5
Answer:
D
Step-by-step explanation:
A manufacturer makes ball bearings that have a target diameter of 5 mm. Quality control engineers sample ball bearings from a batch to test the hypotheses H 0 : mu=5 mm vs. H a : mu ne5 mi , where u is the true mean diameter of the ball bearings in that batch. Suppose that H 0 is actually true. Which situation below would have the lowest probability of a Type I error?
Answer: n=30 the other one is 0.01 !
Step-by-step explanation:
khan
The situation that would have the lowest probability of a Type I error is the one with the smallest significance level (α).
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
In hypothesis testing,
A Type I error occurs when we reject the null hypothesis (H0) when it is actually true.
The probability of a Type I error is denoted by the symbol alpha (α) and is usually set to a small value, such as 0.05 or 0.01.
Now,
To minimize the probability of a Type I error, we want to choose a significance level (α) that is small.
This means that we are willing to accept a lower probability of detecting a difference when one actually exists (i.e., a higher probability of a Type II error).
For example,
If we set α = 0.01, we are saying that we are willing to accept only a 1% chance of incorrectly rejecting the null hypothesis (H0) when it is actually true. This would result in a very small probability of a Type I error.
Therefore,
The situation that would have the lowest probability of a Type I error is the one with the smallest significance level (α).
Learn more about hypothesis testing here:
https://brainly.com/question/30588452
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Create a data set with at least 7 values so that the mean is 20.
plz no bot if bot i will kill 50 point
Answer:
I cant remember this
Step-by-step explanation:
i cant remember
Answer:
Hello! answer: 45, 20, 15, 11, 36, 8, and 5
Step-by-step explanation:
Data set I created: 45, 20, 15, 11, 36, 8, and 5
It doesnt matter what the data set is as long as it has 7 numbers added together that equals 140 because 140 ÷ 7 = 20 45 + 20 + 15 + 11 + 36 + 8 + 5 = 140 then divide by how many numbers are in the data set and 140 ÷ 7 = 20 Hope that helps
Drag a company name into each box to show the total cost from least to greatest.
Answer:
Company A:
150 x 3 = $450
6/100 x 150 = $9
450 + 9 = $459
Company B:
3.10 x 150 = 465
4/100 x 150 = 6
465 + 6 = $471
Company C:
3.20 x 150 = $480
Now the order (Answer):
A(459), B(471), C(480)
imagine paying attention in class
The volume of a rectangular prism is 48 cubic centimeters. The volume of a similar rectangular prism is 6 cubic centimeters.
What is the scale factor for the rectangle?
a. 8
c. 4
b. 6
d. 2
The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t. Round answers to the nearest cent. P=$2000, r=%6, T=6 years
Answer:
$2720
Step-by-step explanation:
Given data
Principal=$2000
r= %6
T= 6 years
The expression for the final amount is
A= P(1+rt)
A=2000(1+0.06*6)
A=2000(1+0.36)
A=2000*1.36
A=2720
Hence the amount is $2720
Translations and reflections
Answer:
The answer is A. x + 5, y - 2
Step-by-step explanation:
The answer is A because you would move the block 5 spaces to the right and 2 spaces down.
Hope this helps!
You're playing a game where you defend your village for me or evasion there are three characters of habit or human and five defensive tools magic sword shield slingshot or umbrella to pick from if you randomly choose your character into what is your probability that you won't be a hobby or use an umbrella
Answer:
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
Step-by-step explanation:
Your question is poorly formatted (See comment section for complete question)
Given
[tex]x = \{elf, hobbit, human\}[/tex] ---- characters
[tex]n(x) =3[/tex]
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools
[tex]n(y) = 5[/tex]
Required
The probability that your character won't be a hobbit or your tool won't be an umbrella?
First we calculate the probability of choosing a hobbit.
[tex]x = \{elf, hobbit, human\}[/tex]
[tex]n(hobbit) = 1[/tex]
So:
[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]
[tex]P(hobit) = \frac{1}{3}[/tex]
Using the complement rule, we calculate the probability of not choosing a hobbit
[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]
[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]
[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]
Next, we calculate the probability of choosing an umbrella.
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]
[tex]n(Umbrella) = 1[/tex]
So:
[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]
[tex]P(Umbrella) = \frac{1}{5}[/tex]
Using the complement rule, we calculate the probability of not choosing an umbrella
[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]
[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]
[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]
The required probability is calculated using:
[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]
In this case;
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]
Take LCM
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
what is the opposite of -(-8)?
Answer:
the opposite of -8 is 8
Step-by-step explanation:
Step-by-step explanation:
We have to find the additive inverseSo multiply (-)[tex] \rm \mapsto \: - ( - ( - 8) \\ \rm \mapsto \: - ( + 8) \\ \rm \mapsto \: - 8[/tex]
ANSWER ASAP NO LINKS WILL GIVE BRAINLIEST
a place from this table is chosen at random let event 4= the place is a city what is p(a^c)
a 3/7
b 4/7
c 2/7
d 5/7
Answer:
A
Step-by-step explanation:
Carmella is making a rectangular flower garden in her backyard. The space she wants to use is 4 meters in length and 2 meters wide. How much space will she have in her garden?
Answer:
8 meters
Step-by-step explanation:
4x2=8
Crowned Brainly and will have 10 points. EMERGENCY!
Answer:
324ft^2
Step-by-step explanation:
rectangle: 22ft X 12ft = 264ft^2
trapazoid: 1/2(22+8)4 = 60ft^2
264 + 60 = 324ft^2
hope this helped!! :D
tell me if you need further explaination!
Please help me I really need help
Answer:
A, C
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
the ∠A is adjacent (adj) to AB and opposite (Opp) of BC and AB is the hypotenuse (Hyp) of the triangle
which one of the above trig functions fits that?
sin(Ф) = BC / AC is sin(Ф)= Opp / Hyp , so choice A) works
cos(Ф) = BC / AC is not cos(Ф) = Opp / Hyp so choice B) does not work
cos(Ф) = BA / AC is cos(Ф) = Adj / Hyp so choice C) works
AC / BC is just a ratio it's not the angle , so D) doesn't work
What relation is a doorstep to a doormat???
Does anyone know how to show work using Pythagorean theorem???
Answer:
1)
a. 5.29 cm
b. 17.8 m
c. 9.75 in
d. 12 cm
e. 8.31 ft
f. 25.46 m
Step-by-step explanation:
Have a good day :)
Will the product of two numbers with opposite signs have a negative or positive answer?
Answer:
The product of two integers of opposite signs is equal to the additive inverse of the product of their absolute values.
Step-by-step explanation:
Sue and Bill share a 16-ounce box of cereal. By the end of the week, Sue has eaten 5 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?
Answer: 2 ounce
Step-by-step explanation:
Given
16 ounce of the box is shared by Sue and Bill
Sue has eaten [tex]\frac{5}{8}[/tex] of the box
Bill has eaten [tex]\frac{1}{4}[/tex] of the box
total cereal eaten by them is
[tex]\Rightarrow \dfrac{5}{8}+\dfrac{1}{4}=\dfrac{5}{8}+\dfrac{2}{8}\\\\\Rightarrow \dfrac{7}{8}[/tex]
So, they have eaten this much of the box. Amount left in the box is
[tex]\Rightarrow 1-\dfrac{7}{8}\\\\\Rightarrow \dfrac{1}{8}[/tex]
In ounce it is
[tex]\Rightarrow 16\times \dfrac{1}{8}\\\\\Rightarrow 2\ \text{ounce}[/tex]
Rays PQ and PS are perpendicular to each other.
What is the measure of LRPS plzzzzz
Answer:
m<RPS = 53 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram shown;
m<QPR + m<RPS = 90
Given that;
m<QPR = x
m<RPS = x+16
Substitute into the formula;
m<QPR + m<RPS = 90
x+x+16 = 90
2x+16 = 90
2x = 90-16
2x = 74
x = 74/2
x = 37degrees
Get m<RPS;
Since m<RPS = x+16
m<RPS = 37 + 16
m<RPS = 53 degrees
Determine the area of a circle whose diameter is 8 in Use 3. 14 for TT Enter your answer in the box. Round to the nearest hundredth, if necessary. A= blank inches squared
Answer:
50.24
Step-by-step explanation:
Area = pi*r^2
r = diameter/2
r = 4
Area = pi*4^2
Area = 3.14*16
Area = 50.24
Answer:
Step-by-step explanation:
The area A of a circle of radius r is A = πr², where π is often approximated by 3.14.
Here, with the circle diameter being 8, we figure the radius to be half that, or 4.
Then the area of this circle is A = (3.14)(4 in)², or
A = 50.24 in²
what is f(-1) for the function given?
f(x)=x^2-3x+8
Answer: 12
Work is provided in the image I attached
I really need help right now someone help pls!!!
james says 5/5 is greater than 9/10 is james correct explain
Answer:
James is correct because 5/5 is 1 while 9/10 is 0.9. 1 is greater than 0.9 by 0.1 and that's why James is correct.
Answer:
Yes.
Step-by-step explanation:
5/5 = 1.
9/10 = 0.9 < 1.
what is this can someone please help ?
Answer:
The answer is most likely A
Hope this helps if t does please consider giving brainliest
Cya on the next one!
Step-by-step explanation:
What’s the answer to this?
Answer
Where is the graph?
Step-by-step explanation:
√(4²×49)
__________________________________________
Tim buys a jacket at $120.00. If he buys it during the Christmas sale,He will pay only 102.00. Calculate the percentage discount. Plz help and explain how to solve it l
Answer:
15% discount
Step-by-step explanation:
1 - (102/120)
1 - 0.85 = 0.15 = 15%
What is the area of this triangle? I need help!! pleaseee
Answer:72
Step-by-step explanation: 9x8 =72