The only option that is a Binomial is; D. x² - 4
What is the binomial?A binomial is defined as a polynomial with two terms.
Examples of binomials are; x − 2 and x − 6 are both binomials.
A) x² - 4x + 2; This is a quadratic function with 3 terms and is therefore a trinomial and not a binomial.
B) 2x² + 3x - 1y; This is a quadratic function with 3 terms and is therefore a trinomial and not a binomial.
C) x²; This has only one term and is therefore a monomial and not a binomial.
D) x² - 4; This is a polynomial with two terms and is therefore a binomial.
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Given f(x) = -2x+6 find the following:
will mark as branliest
Answer:
im pretty sure the answer is -12
Step-by-step explanation:
0=-2x+6
-6=-2x
x=3
-4×3=-12
HELP ME PLEASEEEEEEEE!!
Answer:
not sure
Step-by-step explanation:
i dont know how to
Answer:
54 ezzzzzzzzzzzzzzbro
Find the product of C =AB.
Cu=
C12=
C21 =
C22 =
Answer:
c11= -1
c12= 3
c21= 3
c22= -3
Step-by-step explanation:
on edg
Answer: HAVE AN awesome day
Step-by-step explanation:
8. What is the value of x in the diagram?
A
E
429
B
49
D
32°C
Answer:
D. \(10^{\circ}\)
Step-by-step explanation:
Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).
Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).
By the inscribed angle theorem, \(\alpha=84^{\circ}\).
Thus, \(\beta=20^{\circ}\).
By the inscribed angle theorem, \(x=10^{\circ}\).
Enunciate demerits of classical probability.
Answer:
Some demerits of classical probability are provided throughout the following portion.
Step-by-step explanation:
This could only be utilized if somehow the occurrences are fairly probable as well as predictable. Such supposition is established far in advance of the investigation or testing.This only applies whereas if an overall number of occurrences seems to be limited, one such term has quite a restricted scope, such as coins tossing, picking card numbers, etc.x - 4y = 28
x + 2y = -2
What is the Solution to the ordered pair ?
Hello there.
Your answer is going to be (8, -5).
Answer:
-5 -8
Step-by-step explanation:
What the meaning of statement this?
The statement "Every set can be considered a class" means that every object in set theory, including sets, can be considered a class. This is because classes are simply collections of objects, and sets are a type of collection.
What does the statement implies?The statement "If S is a set, consider the formula x S and the class {x: x = S}" means that if S is a set, then we can consider the formula x S, which states that x is an element of S, and the class {x: x = S}, which is the class of all objects that are equal to S.
In other words, the statement is saying that every set can be considered a class, and that we can define a class for any set by considering the formula that defines the set and the class of all objects that satisfy that formula.
For example, the set {1, 2, 3} can be considered a class by considering the formula x ∈ {1, 2, 3}, which states that x is an element of the set {1, 2, 3}, and the class {x: x ∈ {1, 2, 3}} is the class of all objects that are elements of the set {1, 2, 3}. This class is equal to the set {1, 2, 3}.
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A sum of N$2 500 was deposited in a venture account, which pays 12% compounded per year and it accumulated to N$3 950. Calculate the number of years the amount has been in the venture account. Answer must be rounded to the nearest unit?
The number of years the amount has been in the venture account with 12% interest per year is 4.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
A sum of $2,500 was deposited in a venture account, which pays 12% compounded per year and it accumulated to $3,950.
Then the number of the years will be
We know the compound interest formula
\(\rm A = P(1+r)^t\)
where
A = Accumulated amount
P = Deposited value
r = rate of interest
t = time
Then we have
\(3950 = 2500 (1.12)^t\\\\1.58\ =1.12^t\)
Taking log both sides, then we have
\(\rm \ln 1.58 = t \times \ln 1.12\\\\or \ \ \ \ t = 4.036 \approx 4 \ years\)
Then the number of the years is 4.
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Jim is calculating the probability of flipping a coin multiple time. Jim decides to
flip a coin three times.
a. Make a systematic list for the possible outcomes of flipping the coin three times
b. Find the probability of each of the following events occurring. Be sure to show your thinking clearly:
P (all three heads)
il.
P (at least one tail)
a) The list with all the possible outcomes is given as follows:
Heads, Heads, Heads.Heads, Heads, Tails.Heads, Tails, Heads.Heads, Tails, Tails.Tails, Heads, Heads.Tails, Heads, Tails.Tails, Tails, Heads.Tails, Tails, Tails.b) The probabilities are given as follows:
P(all three heads) = 1/8.P(at least one tail) = 7/8.How to obtain a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
Of the 2³ = 8 outcomes, only one result in three heads, hence the probability is given as follows:
p = 1/8.
At least one tail is complementary to three heads, hence it's probability is given as follows:
p = 1 - 1/8 = 8/8 - 1/8 = 7/8.
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What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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A genetic experiment with peas resulted in one sample of offspring that consisted of 440 green peas and 155 yellow peas.
a. Construct a 95% confidence interval to estimate of the percentage of yellow peas.
b. Based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow?
The 95 percent confidence interval is (0.20, 0.32).
a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:
Let p = proportion of yellow peas = 155/595 = 0.26
Sample size = n = 595
Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03
95% confidence interval = p ± 1.96 × SE
= 0.26 ± 1.96 × 0.03
= 0.26 ± 0.06
So, the 95% confidence interval is (0.20, 0.32).
b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.
Therefore, the 95 percent confidence interval is (0.20, 0.32).
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How long will it take you to ski a distance of 36 miles at a speed of 3 miles per 30 minutes.
Answer:
6 hours
Step-by-step explanation:
Since there are 60 minutes in one hour, you can ski 3 * 2 = 6 miles per hour. Therefore, it will take you 36 / 6 = 6 hours to ski that distance.
HELP
IMMAGE ATTACHED
Answer:
\(\frac{y-7}{y+8}\)
y cannot equal -8
Step-by-step explanation:
\(\frac{(y-7)(y-5)}{(y+8)(y-5)}\) y-5 cancel out
\(\frac{y-7}{y+8}\)
For #81-84, fill in the missing dimensions from the given expression. Then rewrite the
expression as a product.
2x+24
(81.)
(82.)
2x
(83.)
84. Expression as a product
Choices for 81-84:
A) 2
E) 12
AE) 2x
CD) 4x(x+4)
24
B) 4
AB) 14
BC) 4x
CE) 2(2x+9)
C) 6
AC) 16
BD) 4(x+6)
DE) 2(x+12)
D) 9
AD)
x
BE) 2(2x+16)
ABC) 4x(x+14)
The missing dimensions from the given expression should be completed with the following:
(81.) A) 2
(82.) AD) x
(83.) E) 12
The expression as a product should be written as: DE) 2(x + 12).
What is a factored form?In Mathematics and Geometry, a factored form can be defined as a type of quadratic expression that is typically written as the product of two (2) linear factors and a constant.
In this scenario and exercise, we would complete the table above by showing the factored form and expanded form of each of the given expressions as follows;
x 12
2 2x 24
Note: 2x/2 = x.
24/2 = 12.
(2x + 24) = 2(x + 12).
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help plz and it’s not 61.6 because that’s what someone has said
Answer: 250 total kids and 140 girls
Step-by-step explanation:
%56=girls that means %44= boys that means 110 is %44 of the number of kids is 110/44*100= 2.5*100=250kids 56%=girls that means %56 of 250 which is 140 girls
Answer this math gods
Answer:
y = 4x^2
Hope that this helps!
help ASAP don't answer just for points, and have an explanation okay? e.x: writing the math out
Answer:
Josh spent $29.87
Step-by-step explanation:
$12.99 + 3.75×4.5 = $29.865 ≈ $29.87
Answer:
Okay, so what you first want to do is is find out what 3.75 times 4 1/2 is. First you can start by transitioning 4 1/2 into decimal form like so:
4.5And then multiply 3.75 times 4.5
3.75*4.5=16.87Then add you quotient to the amount of money that he paid for the flat rate:
12.9916.87 + 12.99 = 26.86Answer = $26.86
Step-by-step explanation:
Find the area of this shape. Round your answer to the nearest tenth
Answer:
The area of this figure is 31,29.
Step-by-step explanation:
We have to find also the area of the rectangle, then we will find the area of the circle and divide by 2 because here is a half circle.
area of the rectangle = b x h
area of the rectangle = 6 x 6
area of the rectangle = 36
diameter = 6
r = d : 2
r = 6 : 2
r = 3 ft
area of the circle = π x r²
area of the circle = 3,14 x 3 ft
area of the circle = 9,42 ft
area of half of circle = 9,42 : 2 = 4,71 ft
area of this figure = area of rectangle - area of half of the circle
area of this figure = 36 - 4,71
area of this figure = 31,29
So the area of this figure is 31,29.
I hope this is helpful. :)
Determine if the set of vectors shown to the right is a basis for IR3 If the set of vectors is not a basis, determine whether it is linearly independent and whether the set 311-4 spans R 12 Which of the following describe the set?
A. The set is a basis for R3
B. The set is linearly independent.
C The set spans R3
D. None of the above
Answer:
The problem is clearly solved in the attachment
PLEASE HELP
Lester hopes to earn $1000 in interest in 3.3 years time from $10,000 that he has available to invest. To decide if it's feasible to do this by investing in an account that compounds annually, he needs to determine the annual interest rate such an account would have to offer for him to meet his goal. What would the annual rate of interest have to be? Round to two decimal places.
Answer:
\(r\approx0.03\text{ or about $3\%$}\)
Step-by-step explanation:
The standard compound interest formula is given by:
\(\displaystyle A=P(1+\frac{r}{n})^{nt}\)
Where A is the amount afterwards, P is the principal, r is the rate, n is the times compounded per year, and t is the number of years.
Since we are compounding annually, n=1. Therefore:
\(\displaystyle A = P (1+r)^{t}\)
Lester wants to invest $10,000. So, P=10,000.
He wants to earn $1000 interest. Therefore, our final amount should be 11000. So, A=11000.
And our timeframe is 3.3 years. So, t=3.3. Substituting these values, we get:
\(11000=10000(1+r)^{3.3}\)
Let’s solve for our rate r.
Divide both sides by 10000:
\(1.1=(1+r)^{3.3}\)
We can raise both sides to 1/3.3. So:
\(\displaystyle (1.1)^\frac{1}{3.3}=((1+r)^{3.3})^\frac{1}{3.3}\)
The right side will cancel:
\(\displaystyle r+1=(1.1)^\frac{1}{3.3}\)
So:
\(\displaystyle r=(1.1)^\frac{1}{3.3}-1\)
Use a calculator:
\(r\approx0.03\)
So, the annual rate of interest needs to be about 0.03 or 3% in order for Lester to earn his interest.
The table shows the weights of giant pumpkins grown in two towns, Cedartown and Baytown. Match each phrase to its value. Weight of Cedartown Weight of Baytown Pumpkins (pounds) Pumpkins (pounds) 611 584 753 622 575 713.5 685.5 579 718 644 20.2 40 40.2 60.4 575 628.5 668.5 713.5 the average weight of pumpkins grown in Cedartown 22 Edmentum.
Average and mean absolute deviation of pumpkins grown in Cedartown: 668.5; 60.4
Average and mean absolute deviation of pumpkins grown in Baytown: 628.5; 40.2
What is the Mean Absolute Deviation?The average distance of each point from the mean of a data is the absolute mean deviation.
Mean and mean absolute deviation of pumpkins grown in Cedartown:
611, 753, 575, 685.5, 718
Average/Mean = (611 + 753 + 575 + 685.5 + 718)0/5
Average/mean = 3342.5/5 = 668.5
Mean absolute deviation = [(611 - 668.5) + ( 753 - 668.5) + ( 575 - 668.5) + ( 685.5 - 668.5) + ( 718 - 668.5)] / 5
Mean absolute deviation = [(57.5) + (84.5) + (93.5) + (17) + (49.5)]/5 = 302/5
Mean Absolute Deviation = 60.4
Mean and mean absolute deviation of pumpkins grown in Baytown:
584, 622, 713.5, 579, 644
Average/Mean = (584 + 622 + 713.5 + 579 + 644)/5
Average/mean = 3142.5/5 = 628.5
Mean absolute deviation = [(584 - 628.5) + ( 622 - 628.5) + ( 713.5 - 628.5) + ( 579 - 628.5) + ( 644 - 628.5)] / 5
Mean absolute deviation = [(44.5) + (6.5) + (85) + (49.5) + (15.5)]/5 = 201/5
Mean Absolute Deviation = 40.2
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A store had apples on sale for $1.10 a pound. Mike spent $5.94 on apples. How many pounds did buy?
Answer:
5.4 lbs
Step-by-step explanation:
5.94 / 1.10 = 5.4
hope this helps! <3
If your car gets 34 miles per gallon, how much does it cost to drive 320 miles when gasoline costs $3.40 per gallon?
The cost is $
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
$31.96
Step-by-step explanation:
To find how many gallons you need, divide 320 by 34.
\(\frac{320}{34} =9.4 (rounded-to-the-nearest-cent)\)
So now that we know we need 9.4 gallons, we multiply 9.4 times the price per gallon ($3.40)
9.4 x $3.40 = $31.96
When writing a proof, how do you construct the first statement?
A) By writing the justification for the first statement in the right column.
B) By copying the “prove” statement(s) from the original problem.
C) By writing the next logical statement from the current one.
D) By copying the “given” statement(s) from the original problem.
When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.
How should you construct the first statement in a proof?When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.
It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.
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A random sample of n = 36 observations is drawn from a population with a mean equal to 17 and a standard deviation equal to 6. Complete parts a through g below. a. Give the mean and standard deviation of the repeated)
(a) At 90% confidence Interval, the value will be 79.81.
(b) A reliability coefficient of 0.90 means that there is a probability of 0.90 that the interval estimator constructed using this coefficient contains the population parameter.
(c) At 95% the value is 79.53.
(d) the width of a confidence interval as the value of the confidence coefficient is increased.
(e) the condition guarantees that the sampling distribution of x is approximately normal.
(a) 100 -90 = 10
10/2 = 5
5/100 = 0.05
Use calculator for z score (2nd)+(VARS)+(3InvNorm)+(.percentage)
(2nd)+(VARS)+(3InvNorm)+(0.05) =1.64
Use Q/Sqrt(n) * Z Score + x(bar) (upper Bound)
8.5/Sqrt(100) * 1.64 + 81.2 (upper Bound) =82.59
Use 8.5/Sqrt(100) * 1.64 -81.2 (lower bound) = 79.81
(b) When you say that a confidence coefficient is 0.90 we mean that
A reliability coefficient of 0.90 means that there is a probability of 0.90 that the interval estimator constructed using this coefficient contains the population parameter.
(c) Use calculator for z score (2nd)+(VARS)+(3InvNorm)+(.percentage)
(2nd)+(VARS)+(3InvNorm)+(0.025) =1.96
Use Q/Sqrt(n) * Z Score + xbar (upper Bound)
8.5/Sqrt(100) * 1.96 + 81.2 (upper Bound) =82.87
Use 8.5/Sqrt(100) * 1.96 -81.2 (lower bound) = 79.53
(d) The confidence coefficient is increased while the sample size is held fixed is an increase , critical value. increase.
(e) Yes, since the sample sizes are large (n≥30) and randomly selected from the target population, the condition guarantees that the sampling distribution of x is approximately normal.
Complete Question:
A random sample of 36 observations from a normally distributed population possesses a mean equal to 17 and a standard deviation equal to 6.
Use this information to complete parts a through e below.
a. Find a 90% confidence interval for μ.
b. What do you mean when you say that a confidence coefficient is 0.90?
c. Find a 95% confidence interval for μ.
d. What happens to the width of a confidence interval as the value of the confidence coefficient is increased while the sample size is held fixed?
Increasing the confidence coefficient while keeping the sample size fixed will cause an increase in the critical value. This means that the width of the confidence interval will increase.
e. Would your confidence intervals of parts a and c be valid if the distribution of the original population were not normal? Explain.
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Help me out please!!
The quotient function for this problem is given as follows:
B. \(\left(\frac{f}{g}\right)(x) = \frac{\sqrt[3]{4x}}{6x + 1}, x \neq -\frac{1}{6}\)
How to obtain the quotient function?The functions for this problem are given as follows:
\(f(x) = \sqrt[3]{4x}\)g(x) = 6x + 1.For the quotient function, we just divide the two functions, hence:
\(\left(\frac{f}{g}\right)(x) = \frac{\sqrt[3]{4x}}{6x + 1}\)
The denominator cannot be zero, hence the value outside the domain in this problem is given as follows:
6x + 1 = 0
6x = -1
x = -1/6.
Hence option B is the correct option for this problem.
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I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
What is eight hundred seven thousand, eight hundred twenty five in standard form?
so you should write 8 in a box then under the box write what place it is like hundredth and you do the same for the rest
8 0 7 , 8 2 5
hundred thousandth^ and so on^
Which number rounds to 700 when rounded to the nearest hundred?
Answer:
C.
Step-by-step explanation:
Hope this helps! have a great day!
r) a veterinarian suspects the expensive dog food is causing dogs to have upset stomachs. to find out she prescribes 4 dogs to eat the expensive dog food, and 4 dogs to eat the cheap dog food. then she records whether each dog gets indigestion.
A veterinarian suspects the expensive dog food is causing dogs to have upset stomachs. to find out she prescribes 4 dogs to eat the expensive dog food, and 4 dogs to eat the cheap dog food the test here used is sample z - test for p1 and p2 .
Given :
a veterinarian suspects the expensive dog food is causing dogs to have upset stomachs. to find out she prescribes 4 dogs to eat the expensive dog food, and 4 dogs to eat the cheap dog food. then she records whether each dog gets indigestion.
Z - test for 4 dogs to eat the expensive dog food is let p1 .
Z - test for 4 dogs to eat the cheap dog food is let p2 .
So it is clearly the test here used is sample z - test for p1 and p2.
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