Answers
Answer:
Step-by-step explanation:
To find the vertex, we need to put this into vertex form, which is done by completing the square on the quadratic. Begin by moving the 8 over to he other side of the equals sign:
[tex]3x^2-6x=-8[/tex]
Now factor out the 3:
[tex]3(x^2-2x)=-8[/tex]
Now take half the linear term, square it, and add it to both sides. Our linear term is 2. Half of 2 is 1, and 1 squared is 1:
[tex]3(x^2-2x+1)=-8+3[/tex]
We added a 3 on the right because 3 times the 1 we added in is 3. Cleaning that up a bit gives us the perfect square binomial on the left and -5 on the right:
[tex]3(x-1)^2=-5[/tex]
and when we move the -5 back over by adding we have
[tex]3(x-1)^2+5=y[/tex] and our vertex is seen to be (1, 5)
Related Questions
HELP PLZ MATH IM FAILING
Answers
Answer:
Hello! In this picture I marked the new dot for that point and reflected it across the x axis!
The original coordinates are: 5, -3
and the new coordinates are: 5, 3
Hope that helps!
I rly need help this is a diagnostic test and if I fail it I will be in sooo soo much trouble? Plz help
Answers
Answer:
1/3P
Step-by-step explanation:
P/3 is equal to 1/3P
Which pair of functions are inverses of each other?
Answers
Answer:
D.f(x)=2x-9and g(x)=X+9/2
PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.
Answers
Answer:
Options A, C, E
hope it helps
please mark brainliest
Urn 1 contains 4 blue tokens and 9 red tokens; urn 2 contains 12 blue tokens and 5 red tokens. You flip a coin twice and if you see head two times, then you pick urn 2 else (if you see at least once the tail) you pick urn 1 and draw out a token at random from that urn. Given that the token is blue, what is the probability that the token came from urn 2
Answers
Answer:
0.433
Step-by-step explanation:
From the given information;
Let represent Urn 1 to be Q₁ ;
Urn 2 to be Q₂
and the event that a blue token is taken should be R
SO,
Given that:
Urn 1 comprises of 4 blue token and 9 red tokens,
Then, the probability of having a blue token | urn 1 picked is:
[tex]P(R|Q_1) = \dfrac{4}{4+9}[/tex]
[tex]= \dfrac{4}{13}[/tex]
Urn 2 comprises of 12 blue token and 5 red tokens;
Thus [tex]P(R| Q_2) = \dfrac{12}{12+5}[/tex]
[tex]=\dfrac{12}{17}[/tex]
SO, if two coins are flipped, the probability of having two heads = [tex]\dfrac{1}{4}[/tex]
(since (H,H) is the only way)
Also, the probability of having at least one single tail = [tex]\dfrac{3}{4}[/tex]
(since (H,T), (T,H), (T,T) are the only possible outcome)
Thus: so far we knew:
[tex]P(Q_2) = \dfrac{1}{4} \\ \\ P(Q_2) = \dfrac{3}{4}[/tex]
We can now apply Naive-Bayes Theorem;
So, the probability P(of the token from Urn 2| the token is blue) = [tex]P(Q_2|R)[/tex]
[tex]P(Q_2|R) = \dfrac{P(R \cap Q_2)}{P(R)} \\ \\ = \dfrac{P(R|Q_2) * P(Q_2)}{P(R|Q_2) \ P(R_2) + P(R|Q_1) \ P(Q_1)} \\ \\ \\ \\ = \dfrac{\dfrac{12}{17} \times \dfrac{1}{4} }{\dfrac{12}{17} \times \dfrac{1}{4} + \dfrac{4}{13} \times \dfrac{3}{4}} \\ \\ \\ = \dfrac{13}{30}[/tex]
= 0.433
MATHS
1. Caleulate the area of a rectangle of length
250cm and width 200cm.
2. A square room is 650cm long. Find the area in:
(i) square centimeter (ii) square metres
Answers
Answer:
1. 50000
2.
i 274625000cm
ii 274.625m
Step-by-step explanation:
1. Area of a rectangle: length*width
250*200=50000cm
2. Volume of a cube: length^3
i 650^3=274625000cm
ii 650 cm=6.5m; 6.5^3=274.625m
Twelve times of a number decreased by lo is equal to 14. write this in a mathematical sentence and find the number
Answers
Answer:
12n-10=14, n=2
Step-by-step explanation:
( Twelve times of a number decreased by 10 is equal to 14 ) This sentence can be written mathematically to be: 12n-10=14
The answer: Add 10 to both sides: 12n-10=14 > 12n-10+10=14+10 > 12n=24
Divide both sides by 12: 12n=24 > [tex]\frac{12n}{12} =\frac{24}{12}[/tex] > n=2
How do I simplify 8 - 4(x - 7x) + 3
Answers
Answer:
11 + 24x
Step-by-step explanation:
8 - 4(x - 7x) + 3
8 - 4x + 28x + 3
11 - 4x + 28x
11 + 24x
Answer:
8-4x+28x+3 = 24x+11
Step-by-step explanation:
brainliest?
Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms exterior 28, measuring 60°. What is the-
measure of
22?
Answers
Answer:
100degrees
Step-by-step explanation:
From the given diagram;
<2 = <6 (corresponding angle)
Since <6 + 80 = 180
<6 = 180 - 80
<6 = 100 degrees
Since <2 = <6, hence <2 = 100degrees
Lisa, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a
new clerk, needs 15 hours to do the same job. Working together, how long will it
take them to fill the order?
Answers
The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in. what is its perimeter?
Answers
the area of a rectangle is the product of its length and width.
A ship captain looks up at the top of a lighthouse at a 7 degree angle of elevation and calculates that he is 1221 feet from its base. How tall is
the lighthouse, rounded to two decimal places?
123.01 feet
134.78 feet
149.92 feet
148.80 feet
Answers
The diameter of a circle is 4 meters. What is the circles circumference
Answers
Answer:
12.56m²
Step-by-step explanation:
So the formula for the circumference of a circle is π x diameter, so we just have to plug into our equation (we're using 3.14 as π):
3.14 x 4 = 12.56
So the circumference of your circle is 12.56 meters²
hope this helps:)
4 + (m -n )^4 when m =7 and n = 5 whats the value ?
Answers
Answer:
20
Step-by-step explanation:
We plug m and n into the expression because we know that it is. Therefore, the expression is 4+ (7-5)^4. Simplify this to get 4+(2)^4. 2^4 is equal to 2x2x2x2 which is equal to 4x4 which is equal to 16. Therefore, 2^4 is 16. 4+16 is equal to 20. Therefore, the answer is 20.
If this has helped please mark as brainliest
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Equation:}[/tex]
[tex]\mathsf{4 + (m - n )^4}[/tex]
[tex]\large\textsf{Solving:}[/tex]
[tex]\mathsf{4 + (m - n )^4}[/tex]
[tex]\mathsf{\mathsf{= 4 + (7 - 5)^4}}[/tex]
[tex]\mathsf{= 4 + (2)^4}[/tex]
[tex]\mathsf{= 4 + (2\times2\times2\times2)}[/tex]
[tex]\mathsf{= 4 + 2\times2\times2\times2}[/tex]
[tex]\mathsf{= 4 + 4\times 4}[/tex]
[tex]\mathsf{= 4 + 16}[/tex]
[tex]\mathsf{= 20}[/tex]
[tex]\large\textsf{Therefore, your answer should be:}[/tex]
[tex]\large\boxed{\frak{20}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A pathologist has been studying the frequency of bacterial colonies within the field of a microscope using samples of throat cultures from healthy adults. Long-term history indicates that there is an average of 2.90 bacteria colonies per field. Let r be a random variable that represents the number of bacteria colonies per field. Let O represent the number of observed bacteria colonies per field for throat cultures from healthy adults. A random sample of 100 healthy adults gave the following information:
r 0 1 2 3 4 5 or more
O 11 14 30 17 22 6
The pathologist wants to use a Poisson distribution to represent the probability of r, the number of bacteria colonies per field. The Poisson distribution is given below.
P(r) = e^−λλr / r!
Here λ = 2.90 is the average number of bacteria colonies per field.
Required:
Compute P(r) for r = 0, 1, 2, 3, 4, and 5 or more.
Answers
Answer:
P(0) = 0.055
P(1) = 0.16
P(2) = 0.231
P(3) = 0.224
P(4) = 0.162
P(5 or more) = 0.168
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Here λ = 2.90 is the average number of bacteria colonies per field.
This means that [tex]\mu = 2.90[/tex]
Compute P(r) for r = 0, 1, 2, 3, 4, and 5 or more.
[tex]P(0) = \frac{e^{-2.9}*(2.9)^{0}}{(0)!} = 0.055[/tex]
[tex]P(1) = \frac{e^{-2.9}*(2.9)^{1}}{(1)!} = 0.16[/tex]
[tex]P(2) = \frac{e^{-2.9}*(2.9)^{2}}{(2)!} = 0.231[/tex]
[tex]P(3) = \frac{e^{-2.9}*(2.9)^{3}}{(3)!} = 0.224[/tex]
[tex]P(4) = \frac{e^{-2.9}*(2.9)^{4}}{(4)!} = 0.162[/tex]
5 or more:
This is
[tex]P(X \geq 5) - 1 - P(X < 5)[/tex]
In which:
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.055 + 0.16 + 0.231 + 0.224 + 0.162 = 0.832[/tex]
[tex]P(X \geq 5) - 1 - P(X < 5) = 1 - 0.832 = 0.168[/tex]
So
P(5 or more) = 0.168
Carlos plays college soccer, and will attempt two goals in a row.
A = the event Carlos is successful on his first attempt. P(A) = 0.60.
B = the event Carlos is successful on his second attempt. P(B) = 0.55.
The probability that he makes the second goal GIVEN that he made the first goal is
0.35
What is the probability that he makes both goals?
Answers
Since Carlos needs to make both goals, we must multiply the probability that he makes goal 1 with the dependent probability that he makes goal 2 after goal 1. Since we are given these values as 0.60 and 0.35, we multiply them to find a probability of (0.6)(0.35) = 0.21
It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult male Labrador retriever is not equal to 70 pounds. A random sample of 45 male Labradors weigh an average of 72.5 pounds with a standard deviation of 16.1 pounds. Test the breeder's claim at
Answers
Answer:
z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim
Step-by-step explanation:
We will test the breeder´s claim at 95% ( CI) or significance level
α = 5 % α = 0,05 α /2 = 0,025
Sample Information:
sample size n = 45
sample mean x = 72,5 pounds
Sample standard deviation s = 16,1
1.-Hypothesis Test:
Null Hypothesis H₀ x = 70
Alternative Hypothesis Hₐ x ≠ 70
Alternative hypothesis contains the information about what kind of test has to be developed ( in this case it will be a two-tail tets)
2.-z (c) is from z-table z(c) = 1,96
3.- z(s) = ( x - 70 ) / 16,1 / √45
z(s) = (72,5 -70 ) *√45 / 16,1
z(s) = 2,5 * 6,71 / 16,1
z(s) = 1,04
4.-Comparing z(s) and z(c)
z(s) < z(c)
Then z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim
Complete Question:
It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult male Labrador retriever is not equal to 70 pounds. A random sample of 45 male Labradors weigh an average of 72.5 pounds with a standard deviation of 16.1 pounds. Test the breeder's claim at \alpha=0.04
a)State null and alt hypothesis
b)determine t statistics
c)compute the P value
d) decision about the test
Answer:
a)Null Hypothesis [tex]H_0:\mu=70[/tex]
Alternative Hypothesis[tex]H_1=\mu \neq70[/tex]
b) [tex]t=1.042[/tex]
c) [tex]TDIST(1.042)=0.30310338[/tex]
d)We reject the alternative hypothesis
Step-by-step explanation:
From the question we are told that:
Population mean [tex]\mu=70[/tex]
Sample size [tex]n=45[/tex]
Sample mean [tex]\=x=72.5[/tex]
Standard deviation [tex]\sigma=16.1 pounds.[/tex]
Significance level [tex]\alpha=0.04[/tex]
a
Generally the Hypothesis is mathematically given by
Null Hypothesis [tex]H_0:\mu=70[/tex]
Alternative Hypothesis[tex]H_1=\mu \neq70[/tex]
b) Generally the Equation for test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }[/tex]
[tex]t=\frac{72.5-70}{\frac{16.1}{\sqrt{45}}}[/tex]
[tex]t=1.042[/tex]
c)
Generally From T distribution table P value is mathematically given by
[tex]TDIST(1.042)=0.30310338[/tex]
d)
Therefore as p value is greater tab significance level
[tex]0.30310338>0.04[/tex]
The Test statistics does nt fall in the rejection rejoin
Therefore
We reject the alternative hypothesis
Which of the statements below are true? Select all that apply. A) The table shows a proportional relationship B) The table does not show a proportional relationship C) With $3.00, you could buy 10 bananas D) Each banana costs $0.30
Answers
Answer:
go to school, do your work, you are only cheating yourself, not the school, or end up homeless
Step-by-step explanation:
lus
Find the expected value of a
random variable x having the
following probability distribution.
5
1
0
1
8
Probability
12
16
U22
112
1
2
Answers
Well formatted version of question:
Find the expected value of a random variable x having the following probability distribution.
x (-5,-1,0,1,5,8)
Probability (.12, .16, .28, .22, .12, .1)
Answer:
0.86
Step-by-step explanation:
The expected value E(X) is calculated as :
E(X) = Σ(x * p(x))
(-5)(0.12) + (-1)(0.16) + (0)(0.28) + 1(0.22) + 5(0.12) + 8(0.10)
-0.6 + -0.16 + 0 + 0.22 + 0.6 + 0.8
= 0.86
The baseball field is 9/10 of a mile from Benson’s house. Benson runs 3/10 of a mile and walks 4/10 of a mile on his way to the field. How much farther does Benson need to go to get to the baseball field?
Answers
Answer:
2/10 I believe
Step-by-step explanation:
3/10 + 4/10= 7/10
9/10 - 7/10 = 2/10
If a conversion rate of 8 dollars is worth 13 euros, how many euros do you get
when you convert 500 dollars?
Answers
8/13 =500/x
(Cross multiply)
8x= 6,500
(Divide by 8 to isolate the variable)
x= 812.5
(Euros are paper money, not a coin system and they won’t give you more money than what you gave them so you must round down to the nearest whole number which is 812 Euros)
ANSWER:
812 Euros
You want to invest $300 in stock QRS. How many more shares of QRS will
you own at the end of the year if you use the DCA strategy instead of
investing all of your money at the start of the year?
Answers
Answer:
3 shares
Step-by-step explanation
1.
Which of the following is acute angle?
Answers
Write the log equation as an exponential equation. You do not need to solve for x.
log (x-6) (6) = 3x – 5
Answers
Answer:
(x-6)^3x-5 =6
Step-by-step explanation:
logb a=c ------> b^c =a
1. Match the polygons with their appropriate clouds. A polygon can match to more than 1 cloud
Answers
all sides are not equal: rectangle
at least 1 right angle: square
at least one set of parallel sides: rectangle
Students set a goal of collecting 900 cans for the canned food drive. The number of cans they have collected so far is 82% of their goal. How many more cans do the students need to collect to reach their goal?
Answers
Answer:
162 cans
Step-by-step explanation:
100 - 82 = 18
18% of 900 =
0.18 * 900 =
162
How long will it take $3000 to earn $900 interest at 6% simple interest?
20 points and brainly ;)
Answers
Answer:
5 years
Step-by-step explanation:
3000x.06=180 interest per year.
900/180 =5 years to earn 900 interest.
For each of the following variables, identify the type of variable (categorical vs. numerical).
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
1) (I) Categorical , and (II) Categorical
2) (I) Categorical , and (II) Numeric
3) (I) Numeric , and (II) Numeric
4) There is no correct match.
5) (I) Numeric , and (II) Categorical
Answers
Answer:
3) (I) Numeric , and (II) Numeric
Step-by-step explanation:
Numeric variable:
The variable assume number values.
Categorical values:
The variable assumes labels. Examples are yes/no, good/bad.
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
Both of these variables are numbers, none have labels, so they are both numeric. The correct answer is given by option 3).
Do-Nothing #1 paid $8 for 2 paddle ball
paddles and 4 jigsaw puzzles. Do-Nothing #2
paid $18 for 3 paddle ball paddles and 10
jigsaw puzzles.
a.) How much did each jigsaw puzzle cost?
b.) How much did each paddle ball paddle cost?
Answers
If you came for a short answer
A=1.50
B=1
a) Each jigsaw puzzle costs $1.5.
b) Each paddle ball paddle costs $1.
Given that Do-Nothing #1 paid $8 for 2 paddle ball paddles and 4 jigsaw puzzles.
Do-Nothing #2 paid $18 for 3 paddle ball paddles and 10 jigsaw puzzles.
We need to find how much each cost.
Let's solve the problem step by step.
Let's assume the cost of each jigsaw puzzle is 'x' dollars, and the cost of each paddle ball paddle is 'y' dollars.
According to the given information:
The first person paid $8 for 2 paddle ball paddles and 4 jigsaw puzzles. So, we can write the equation as:
2y + 4x = 8............. eq(i)
The second person paid $18 for 3 paddle ball paddles and 10 jigsaw puzzles. So, we can write the equation as:
3y + 10x = 18............. eq(ii)
Now, we can solve these two equations to find the values of 'x' and 'y'.
To do so, we can multiply Equation 1 by 3 and Equation 2 by 2 to eliminate the 'y' term:
6y + 12x = 24............. eq(iii)
6y + 20x = 36............. eq(iv)
Subtracting Equation 3 from Equation 4, we get:
6y + 20x - (6y + 12x) = 36 - 24
6y + 20x - 6y - 12x = 12
8x = 12
x = 12/8
x = 1.5
Now, substitute the value of 'x' back into Equation 1 to find 'y':
2y + 4(1.5) = 8
2y + 6 = 8
2y = 8 - 6
2y = 2
y = 2/2
y = 1
So, the cost of each jigsaw puzzle is $1.5, and the cost of each paddle ball paddle is $1.
Learn more about System of equations click;
https://brainly.com/question/21620502
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Find cotθ if θ terminates in Quadrant III and secθ = 2
a. - (sqrt 3)/3
b. (sqrt 3)/3
c. - sqrt 3
d. sqrt 3
Answers
Answer:
we have
secθ = 2
[tex] \frac{1}{cos θ} [/tex]=2
Cosθ =[tex] \frac{1}{2 }[/tex]
[tex] \frac{b}{h }=\frac{1}{2 }[/tex]
b=1
h=2
p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]
again
Cot θ=[tex] \frac{b}{p }[/tex]
Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
It lies in Quadrant III cot is positive
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
b. (sqrt 3)/3