Answer:
✓2=1.41421
✓5=2.23607
✓8=2.82842
✓11=3.31662
✓14=3.74166
Step-by-step explanation:
Therefore the numbers are increasing by three so they cant be perfect square
9514 1404 393
Answer:
squares are of the form 3n or 3n+1; the sequence is of the form 3n-1, so none of the sequence will be a square
Step-by-step explanation:
The given arithmetic sequence has first term 2 and common difference 3, so its explicit formula is ...
an = 2 +3(n -1) = 3n -1 . . . . for counting numbers n
__
All integers are of one of these forms: 3n-1, 3n, 3n+1, for some integer n. The squares of these are ...
(3n -1)² = 9n² -6n +1 = 3(3n² -2) +1 = 3k+1 for some k
(3n)² = 3(3n²) = 3k for some k
(3n +1)² = 9n² +6n +1 = 3(3n² +2) +1 = 3k+1 for some k
Note that none of these squares is of the form 3n -1.
Hence, the square of an integer cannot be in the given sequence.
Exit Ticket
A map of Froggy Mountain Park is mapped on a coordinate plane
using units of one mile. There are two camp ground at the park.
Camp 1 is located at (-41, 3)
Camp 2 is located at (75,3)
How far is Camp 1 from Camp 2?
Show your work
Answer:
116 miles
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-41,3)[/tex] --- Camp 1
[tex](x_2,y_2) = (75,3)[/tex] --- Camp 2
Required
The distance between both camps
This is calculated using:
[tex]d^2 = \sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}[/tex]
[tex]d^2 = \sqrt{(-41-75)^2 + (3-3)^2}[/tex]
[tex]d^2 = \sqrt{(-116)^2 + (0)^2}[/tex]
[tex]d^2 = \sqrt{116^2}[/tex]
[tex]d = 116[/tex]
The distance is 116 miles
This box is being packed without gaps or overlaps with unit cubes. Enter the volume of this box in cubic units.
Answer: 56
Step-by-step explanation:
Volume = length x width x height
You can find the length width and height by counting the cubes.
7x4x2= 56 cubic units
Answer:
56
Step-by-step explanation:
PLEASE HELP PLESD PLED
Answer:B
Step-by-step explanation: ok its B because i need some $$$
Answer:
D and E
Step-by-step explanation:
The question asks which one would always form an image that is congruent to the pre-image.
Note that Translation, Reflection, and Rotation do not change the size or shape of the pre-image while Dilation will change the size of your pre-image.
Therefore, the most likely answer would be options D and E that do not include dilation in their series of transformations so the image will not change its size making it congruent to the pre-image.
You know that in a specific population of rainbow trout 15% of the individuals carry intestinal parasites. Assume you obtain a random sample of 9 individuals from this population:a. Calculate the probability that __ (last digit of your ID number) carry intestinal parasites.b. Calculate the probability that at least two individuals carry intestinal parasites.
Answer:
a) 0.2316 = 23.16% probability that 0 carry intestinal parasites.
b) 0.4005 = 40.05% probability that at least two individuals carry intestinal parasites.
Step-by-step explanation:
For each trout, there are only two possible outcomes. Either they carry intestinal parasites, or they do not. Trouts are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
You know that in a specific population of rainbow trout 15% of the individuals carry intestinal parasites.
This means that [tex]p = 0.15[/tex]
Assume you obtain a random sample of 9 individuals from this population:
This means that [tex]n = 9[/tex]
a. Calculate the probability that __ (last digit of your ID number) carry intestinal parasites.
Last digit is 0, so:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{9,0}.(0.15)^{0}.(0.85)^{9} = 0.2316[/tex]
0.2316 = 23.16% probability that 0 carry intestinal parasites.
b. Calculate the probability that at least two individuals carry intestinal parasites.
This is
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{9,0}.(0.15)^{0}.(0.85)^{9} = 0.2316[/tex]
[tex]P(X = 1) = C_{9,1}.(0.15)^{1}.(0.85)^{8} = 0.3679[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.2316 + 0.3679 = 0.5995[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5995 = 0.4005[/tex]
0.4005 = 40.05% probability that at least two individuals carry intestinal parasites.
We will see that the probabilities are:
a) 3.8*10^-8b) 0.26How to find the probability.
We know that 15% of the population have the parasites, then if we take a trout at random we have:
a probability of 0.15 that it has parasites.a probability of 0.85 that it does not have parasites.a) The probability that 9 of them carry intestinal parasites (so all of them have).
This is just the product of the individual probabilities, so we have 9 times a probability of 0.15, this gives:
P(9) = (0.15)^9 = 3.8*10^-8
b) Probability that 2 out of 9 have parasites.
Then we have 0.15 two times, and 0.85 seven times.
But we also need to take in account the permutations, the different groups of 2 trouts that we can make out of 9 trouts is given by:
[tex]C(9, 2) = \frac{9!}{(9-2)!*2!} = \frac{9*8}{2} = 36[/tex]
This means that there are 36 different pairs of 2 trouts that can be the ones with parasites.
Then the probability that 2 trouts have parasites is:
P(2) = 36*(0.15)^2*(0.85)^7 = 0.26
And just to be complete, the probabilty that x trouts have parasites is:
P(x) = C(9, x)*(0.15)^x*(0.85)^(9 - x)
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SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random. What is the probability this student’s score will be at least 1500?
Answer:
0.2159 = 21.59% probability this student’s score will be at least 1500.
Step-by-step explanation:
To solve this question, we need to understand the normal distribution and conditional probability.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Recognized student(scored more than 1350)
Event B: Score of at least 1500.
SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200
This means that [tex]\mu = 1100, \sigma = 200[/tex]
Probability of being recognized.
1 subtracted by the pvalue of Z when X = 1350. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1350 - 1100}{200}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a pvalue of 0.8944.
1 - 0.8944 = 0.1056
So [tex]P(A) = 0.1056[/tex]
Probabibility of being recognized and scoring at least 1500.
Intersection between more than 1350 and more than 1500 is more than 1500. So this probability is 1 subtracted by the pvalue of Z when X = 1500.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1500 - 1100}{200}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
So, [tex]P(A \cap B) = 0.0228[/tex]
What is the probability this student’s score will be at least 1500?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0228}{0.1056} = 0.2159[/tex]
0.2159 = 21.59% probability this student’s score will be at least 1500.
need help
give explanation and i’ll give brain list
Answer:
x = 14.5°
Step-by-step explanation:
A+D = 180°
(8x-11) + (5y+2) = 180°
simplify:
5y + 8x = 189°
5y = 189 - 8x
D = B
(5y+2) = (4x+17)
simplify
5y = 4x + 15
then:
189 - 8x = 4x + 15
12x = 174
x = 14.5°
5y = 4(14.5) + 15
5y = 73
y = 14.6
check:
5(14.6) + 8(14.5) = 189
73 + 116 = 189
189 = 189
Is it 2 or 3?
Thank you!
Answer:
3
Step-by-step explanation:
Combine as indicated by the signs.
2x/y^2-x^2-x/y-x=
Answer:
x(2-xy^2-y-y^2)/y^2
Step-by-step explanation:
It mabye the above answer so x
y ^2 - 4 x y ^3
The expression will be simplified as [tex]\dfrac{x^2+2x-xy}{y^2-x^2}[/tex].
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression will be simplified as follows:-
[tex]\dfrac{2x}{y^2-x^2}-\dfrac{x}{y-x} = \dfrac{2x-x(y-x)}{y^2-x^2}\\\\[/tex]
[tex]=\dfrac{2x-xy+x^2}{y^2-x^2}[/tex]
[tex]= \dfrac{x^2+2x-xy}{y^2-x^2}[/tex]
Therefore the expression will be simplified as [tex]\dfrac{x^2+2x-xy}{y^2-x^2}[/tex].
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Please...I really need help
Answer: it’s the first one
Step-by-step explanation:
9514 1404 393
Answer:
(d) g(x) = -f(x -3)
Step-by-step explanation:
Reflection over the x-axis multiplies function values by -1. Translation to the right 3 units replaces x with x-3. The transformed function is ...
g(x) = -f(x -3)
Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3). Find the coordinates of G.
The coordinates of G are
Answer:
Coordinates of G = [tex](2,0)[/tex]
Step-by-step explanation:
Given: Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3).
To find: coordinates of G
Solution:
Midpoints of a side joining points [tex](a,b),\,(c,d)[/tex] are given by [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Diagonals of a parallelogram bisect each other.
So,
Midpoint of DF = Midpoint of EG
Midpoint of DF = [tex](\frac{-4+3}{2},\frac{-2+3}{2})=(\frac{-1}{2},\frac{1}{2})[/tex]
Midpoint of EG = [tex](\frac{-3+x}{2},\frac{1+y}{2})[/tex]
Let coordinates of G be [tex](x,y)[/tex]
Therefore,
[tex](\frac{-1}{2},\frac{1}{2}) =(\frac{-3+x}{2},\frac{1+y}{2})\\\\\frac{-1}{2}=\frac{-3+x}{2},\,\frac{1}{2}=\frac{1+y}{2}\\\\-1=-3+x,\,1=1+y\\\\x=-1+3,\,y=1-1\\x=2,\,y=0[/tex]
So,
Coordinates of G = [tex](2,0)[/tex]
how much is 1 hundred of R800
I really need to start paying attention in class
Answer:
41
Step-by-step explanation:
Help pleaseeeeeeee thanks
Answer:
so the answer is 5
Step-by-step explanation:
the equation will be for this is
7x + 20 = 55
7x = 55-22
7x = 35
x = 35÷7
x=5
1/6 of 3 yards= --------feet is it 1 1/2 or 1/2 or 3 or 1/18
Answer:
1/2 ft or 6 inches
Step-by-step explanation:
1/6 of 3 yards = 1/2 ft or 6 inches
Can you help me on question six
Answer:
B
promise it's B trust me
Marcy sees a game, Rolling-in-Gold, in which a contestant rolls a
cube with five red sides one gold side. A player wins the game
by rolling a gold. Is Rolling-in-Gold a fair game? If not, how
could the game be made fair? Explain.
Answer:
it's not fair, because it's only a 1 in 6 chance of rolling gold.
it would be fair if 3 of the 6 sides were gold
Answer:
it aint fair it only 1/6 listen to the other guy
Step-by-step explanation:
i needed points sorry
The population of a bacterium doubles every hour. At 9 am, the population is 12 bacteria. The function P (t) = 12.2 models the bacteria population t hours after 9 am What is the value of P (5) and what does it
represent in context?
A) The population is 120 bacteria at 2 pm
B)The population is 120 bacteria at 5 pm
C) The population is 384 bacteria at 2 pm
D) The population is 384 bacteria at 5p.m.
Answer: B
Step-by-step explanation:
The correct answer is B
The population of the bacteria at the value of P (5) is 384, and it represents that the time is 5 pm
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=a^x[/tex]
Here, a is the variable in the power of a number.
The population of a bacterium doubles every hour. At 9 am, the population is 12 bacteria.
The function models the bacteria population t hours after 9 am is,
[tex]P (t) = 12\times2^t[/tex]
Put the value of t as 5 at P (5) in the above exponential function as,
[tex]P (5) = 12\times2^5\\P(5)=12\times32\\P(5)=384[/tex]
Hence, the population of the bacteria at the value of P (5) is 384, and it represents that the time is 5 pm.
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Plot the points where the x coordinate is twice the value of the y coordinate.
GIVING BRAINLIEST
Answer:
Heres brainliest for who answered first
Step-by-step explanation:
Why does the quotient of 8 ÷ 1 not change when we add a place value in the dividend and the divisor to make 80 ÷ 10?
Answer:
Basically this is because division can be thought of as how many times does the divisor have to be multiplied in order to produce the dividend.
So you would need to multiply 1 8 times in order to produce the dividend,
Similarly, 10 goes into 80 8 times. The zeros are simply cancelled out in the division.
Please answer !!!
30 points
The maximum weight M that can be supported by a beam is jointly proportional to its width w in inches and the square of its height h in inches and inversely proportional to its length L in feet. (a) Write an equation that expresses this proportionality. (Use k as the constant of proportionality.) (b) Determine the constant of proportionality if a beam 4 in. wide, 6 in. high, and 15 ft long can support a weight of 3840 lb. k
Answer:
M = kwh^2/L
k = 400
Step-by-step explanation:
Given that the maximum weight M that can be supported by a beam is jointly proportional to its width w in inches and the square of its height h in inches and inversely proportional to its length L in feet
Then
M ∝ wh^2/L
M = kwh^2/L
where k is the constant of proportionality
if a beam 4 in. wide, 6 in. high, and 15 ft long can support a weight of 3840 lb then
3840 = k * 4 * 6^2/15
k = 3840 * 15 / (4 * 36)
k = 400
You and your friend each deposit $50 in separate savings accounts. Your account earns 4% simple annual interest. Your friend’s account earns 6% simple annual interest. How long does it take for you to earn $12 in interest? How long does it take for your friend to earn $12 in interest?
review the graph. What is the component form and direction of the vector shown
a.) ⟨7,-3⟩ and 23 degrees
b.) ⟨-7,3⟩ and 23 degrees
c.) ⟨7,-3⟩ and 157 degrees
d.) ⟨-7,3⟩ and 157 degrees
Answer:
D
Step-by-step explanation:
Ed2021
-3x + 7 = -x - 1
What is the variable
Answer:
x = 4
Step-by-step explanation:
also nice pfp d====(￣▽￣*)b
CAN SOMEONE HELP IM SO CONFUSED PLEASE
Find the slope and the y-intercept of the line. 2 y=- x+2 5
help please I need it now
Answer: Y = -x/2 + 12.5
Step-by-step explanation:
You wrote the equation strange so i don't really know if the end of the equation is a 25 or not
Suppose that the mean of your 50 rolls is x = 3.25. Are you suspicious about the fairness of the die? Justify your answer.
Answer:
3.25x50=21
Step-by-step explanation:
Sample size falls within the range from the mean Standard deviation (3.5±1.75).
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Given, Suppose that the mean of your 50 rolls is x = 3.25.
Uniform distribution. linear Shape according to the Central lamed Theorem the distribution will be q Normal distribution of of xi; with Mean Rx = 3.5 if the sample Size is large enough and a variance of (1.71)²/N. Where N is the sample size 3.25 falls within the interval of the 95% confidence Sample means and it also falls within the range from the mean Standard deviation (3.5±1.75). This result is nothing suspicious of out of the ordinaryTherefore, Sample size falls within the range from the mean Standard deviation (3.5±1.75).
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Complete question:
Each of 5 friends got a full box of snacks and an extra 6 snacks. Write an equation to show how many snacks are in all those boxes and all those extra snacks.
The sum of four numbers is 540. One of the
numbers, x, is 50% more than the sum of the other
three numbers. What is the value of x?
Answer:
chale. necesita. 20 caracteres
The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.1242 + 0.32 +3.3
for 2010 through 2016. Use this model to predict the number of vinyl album sales in the country in the year 2020 where
(2 = 10) (1 point)
• The number of vinyl album sales in the country in the year 2020 will be 20.5 million
The number of vinyl album sales in the country in the year 2020 will be 18.3 million
The number of vinyl album sales in the country in the year 2020 will be 7.74 million
O The number of vinyl album sales in the country in the year 2020 will be 21.12 million
Answer:
b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
Step-by-step explanation:
Given - The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.12 x² + 0.3 x +3.3 for 2010 through 2016.
To find - Use this model to predict the number of vinyl album sales in the country in the year 2020 where x = 10
a) The number of vinyl album sales in the country in the year 2020 will be 20.5 million.
b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
c) The number of vinyl album sales in the country in the year 2020 will be 7.74 million.
d) The number of vinyl album sales in the country in the year 2020 will be 21.12 million.
Proof -
Given that,
The equation be - y = 0.12 x² + 0.3 x +3.3
Now,
Put x = 10 in above equation we get
y = 0.12×10² + 0.3×10 +3.3
= 0.12×100 + 3 + 3.3
= 12 + 6.3 = 18.3
⇒y = 18.3
∴ we get
The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
So,
The correct option be - b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.