Which is a cubic function?

The null hypothesis is rejected when there is a high probability that the obtained results are due to random error. So the option B is correct.

When there is a significant chance that the observed results are the consequence of random error, the null hypothesis is rejected. This is usually determined by performing a statistical test such as a t-test, chi-square test, or ANOVA.

If the probability that the results are due to random error is low, then the null hypothesis is rejected. This means that the results are likely due to a real effect, not random error. So the option B is correct.

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Answer:

a) -22, b)14 c) -3

Step-by-step explanation:

a) -19+3(-13+4*3)

= -19+3*(-13+12)

= -19+3*(-1)

= -22

b) | -7(2)|

= | -7*2|

= -14

c) 15-3 | -4-2|

= 15-3* (-6)

= 15-18

= -3

What we are going to do is first to convert the mixed number to a fraction and then convert 6.5 into a fraction too, then we will divide the wide of the room by the length of each table, to know how many tables fits in the classroom:

and

then

Since Mr. Martin can't cut the tables, we need to aproximate the number to 3

then the answer is that Mr. Martin can fit 3 tables across the width of the classroom.

Answer:

x = 2.2

Step-by-step explanation:

-0.45x + 0.33 = -0.66

Subtract .33 from each side

-0.45x + 0.33-.33 = -0.66-.33

-.45x = -.99

Divide each side by -.45

-.45x./-.45 = -.99/-.45

x = 11/5

x = 2.2

The prime number that cannot be in the set is A . 2.

Prime number:

In math, prime number is a natural number greater than 1 that is not a product of two smaller natural numbers

Given,

Here we need to find the prime number that is not in the set, if if the sum of a set of ten different positive prime numbers is an even number.

Here we know that, all prime numbers except the first prime number are odd except 2.

And here we assume that the two prime numbers are different,

So, if one of the prime number is 2 which is even, the other prime number would be odd and hence sum of the prime numbers would be odd as sum of an even and an odd number is always odd.

Where as if none of the prime numbers are odd, then both the prime numbers would be odd and hence sum of the prime numbers would be even as sum of two odd numbers is always even.

There the correct option is A. 2.

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Answer:

(a)

\(Slope=-\dfrac{1}{3}\\$y-intercept =1\)

(b)

\(Slope = \dfrac12\\$y-intercept=$ -1\)

Step-by-step explanation:

Given a line which goes through the points: (0, 1) and (3, 0).

(a)Slope

\(m=\dfrac{0-1}{3-0}\\m=-\dfrac{1}{3}\)

The slope-intercept form of the equation of a line is given as: y=mx+b

Therefore:

\(y=-\dfrac{1}{3}x+b\\$From the point (0,1), When x=0, y=1; Therefore:$\\1=-\dfrac{1}{3}(0)+b\\$Therefore:\\b=1\)

The y-intercept of the line through points (0, 1) and (3, 0) is 1.

(b)Given the line:

\(y=\dfrac12x-1\)

Comparing with the slope-intercept form of the equation of a line: y=mx+b

\(Slope = \dfrac12\\$y-intercept=$ -1\)

Answer:

Identify the slope of the graphed line:

✔ -1/3

Identify the y-intercept of the graphed line:

✔ 1

Identify the slope of the line given by the equation:

✔ 1/2

Identify the y-intercept of the line given by the equation:

✔ -1

Step-by-step explanation:

Got it right on edge. 2020

:)) hope I helped.

1/3

...............

.

...........

Answer:

1/3

Step-by-step explanation:

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

A graph of the linear equation 3x - 4t = 12 has been plotted as shown in the image attached below.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.

Next, we would use an online graphing calculator to plot the relationship between the value of x and the value of t as shown in the image attached below.

In conclusion, a graph which represents the linear equation (3x - 4t = 12) does not represent or show a proportional relationship between the value of x and t because they didn't pass through the origin (0, 0).

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Answer:

6%

Step-by-step explanation:

6/100

3/50

0.06

6%

Answer:

16

Step-by-step explanation:

Whenever you divide with a fraction, you will change the division sign, and flip the right side's fraction over. Note that if it is a whole number, it is technically x/1 (x signifying as whatever the number is).

Divide:

4 ÷ 1/4 = 4 * 4 = 16

16 is your answer.

~

Answer:

3/2

Step-by-step explanation:

Answer:

The domain would be the first number in the ordered pair. In this case, 4,5 and 9 are the domains.

Step-by-step explanation:

Answer:

\(11x - 4 + 2x\) and \(13x - 4\)

Step-by-step explanation:

Given

Options A to D

Required

Determine the equivalent pair

To do this, we solve each options one after the other.

\((a):\\)

\(4x - 12\) and \(3(x - 3)\)

Open bracket

\(4x - 12\) and \(3 * x - 3 * 3\)

\(4x - 12\) and \(3x - 9\)

The above pairs are not equivalent

\((b):\\)

\(2(x + 3) + 1\) and \(2x + 6\)

Open bracket

\(2x + 2*3 + 1\) and \(2x + 6\)

\(2x + 6 + 1\) and \(2x + 6\)

\(2x + 7\) and \(2x + 6\)

The above pairs are not equivalent

\((c):\)

\(11x - 4 + 2x\) and \(13x - 4\)

Collect Like Terms

\(11x + 2x - 4\) and \(13 - x\)

\(13x - 4\) and \(13 - x\)

The above pairs are equivalent

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

70°

Step-by-step explanation:

n+20=90° [being a right angelled triangle]

or, n=90°-20°

therefore n=70°

I guess this is the answer but please confirm first.

Answer:

14.2 cm

Step-by-step explanation:

by searching the question we find the solution, and we calculates the given value it will give the length of LMN, that is "14.2".

That's why its final answer is "14.2 cm".  

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Answer: D. 14.2 cm

Step-by-step explanation: I just did it on edge2023! Hope this helps!

Answer:

The exponential function is

\(y = {2}^{x} \)

Answer:

15.75

Step-by-step explanation:

Answer:

well that her fault for not putting it in a purse

Answer:

x\(\geq\) 3

Step-by-step explanation:

-4x -2 ≤ -14
-4x ≤ -12
x ≥ 3

Answer:

We can't see the paint, and what's the question?

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Answer:

The expected value for the number of defects on a randomly selected plastic part is 0.43.

Step-by-step explanation:

We have the following probability distribution:

P(X = 0) = 0.79

P(X = 1) = 0.09

P(X = 2) = 0.05

P(X = 3) = 0.04

P(X = 4) = 0.03

What is the expected value, E(X), for the number of defects on a randomly selected plastic part?

Each value multiplied by its probability. So

\(E(X) = 0.79*0 + 0.09*1 + 0.05*2 + 0.04*3 + 0.03*4 = 0.43\)

The expected value for the number of defects on a randomly selected plastic part is 0.43.

Answer:

interchange the role of x and y

x=9y+5

x-5=9y

x-5 =y

9

so,f^-1(x)= x-5

9

hope it helps.

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

The confidence interval formula is \(\bar x\pm t\frac{s}{\sqrt{n}}\).

Where, \(\bar x\) is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.

Here,

\(\bar x\) =1.267, s=1.23, n=30

The standard error is Se= 1.23/√30

= 0.2246

Item a:

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

Item b:

Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.

\(\bar x\pm tS_c\)

\(\bar x+ tS_c\) =1.267-2.7564(0.2246) =0.6479

\(\bar x- tS_c\) =1.267+2.7564(0.2246) =1.8861

Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.

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The equation for the graph above is y = 5sin(2x/3).

In Mathematics and Geometry, a sine wave is sometimes referred to as a sinusoidal wave, or sinusoid and it can be defined as a fundamental waveform that is typically used for the representation of periodic oscillations, in which the amplitude of displacement at each interval is directly proportional to the sine of the displacement's phase angle.

Mathematically, a sine wave can be represented or modelled by this mathematical equation:

y = asin(bx)

Where:

Based on the graph of this sine wave, we have:

Amplitude, a = 5.

Periodicity, b = 2π/period = 2π/(3π) = 2/3

Therefore, the required sine wave function is given by;

y = asin(bx)

y = 5sin(2x/3)

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