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3 years ago

Prove that all integers from n to n+m is given by

Mathematics

1 answer:

ch4aika [34]3 years ago

6 0

Answer:

no need to prove ,I believe you

Step-by-step explanation:

i believe you

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What is an equation of the line that passes through the points (4,-6) and (8,-4)

qaws [65]

Answer:

$y = \frac{1}{2} x - 8$

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).

$\boxed{gradient = \frac{y1 - y2}{x1 - x2} }$

Using the gradient formula above,

$m = \frac{ -4 - ( - 6)}{8 - 4} \\ m = \frac{ - 4 + 6}{4} \\ m = \frac{2}{4} \\ m = \frac{1}{2}$

Substitute the value of m into the equation:

y= ½x +c

To find the value of c, substitute a pair of coordinates.

When x=4, y= -6,

-6= ½(4) +c

-6= 2 +c

c= -6 -2 (-2 on both sides)

c= -8 (simplify)

Thus, the equation of the line is y= ½x -8.

4 0

3 years ago

Find the equation of the linear function represented by the table below in slope-

Eva8 [605]

Answer:

f(x) = 5x - 5

Step-by-step explanation:

Let the equation of the linear function is,

f(x) = mx + b

Here, m = Slope of the graph

b = y-intercept

Slope of the line passing through $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{(y_2-y_1)}{(x_2-x_1)}$

From the table attached,

Slope of the line passing through (2, 5) and (6, 25) will be,

m = $\frac{25-5}{6-2}$

m = 5

Equation of the linear function will be,

f(x) = 5x + b

Since, a point (10, 45) lies on the function,

45 = 5(10) + b

b = 45 - 50

b = -5

Equation of the linear function will be,

f(x) = 5x - 5

4 0

3 years ago

Find the circumference with the given radius.round to the nerest tenth.use 3.14 π r = 7cm

brilliants [131]

Answer:

44.0 cm.

Step-by-step explanation:

The formula for the circumference of a circle is

$C=2\pi r$

So we can substitute 7 for r and 3.14 for pi:

$C=2(3.14)(7)=43.96$ cm

And since we're rounding to the nearest tenth, the answer is 44.0 cm.

6 0

3 years ago

Please help with #5 and #6.

cestrela7 [59]

Answer:

#5: (6,6) and #6: (6,4)

And I have no idea with the 2nd part of each questions.

4 0

3 years ago

The 99 percent confidence interval for the average weight of a product is from 71.36 lbs. to 78.64 lbs. Can we conclude that μ i

Ilya [14]

Answer:

Step-by-step explanation:

Hello!

To decide over a hypothesis test using a confidence interval the following conditions are to be met:

1. The hypotheses should be two-tailed.

2. The hypotheses and the confidence interval should be made for the same parameter.

3. The confidence level and the significance level should be complementary, so if the CI is 1-α: 0.99 the level of significance should be α: 0.01

If all conditions are met, the decision rule is the following:

If the value stated in the null hypothesis is contained by the CI, the decision is to not reject the null hypothesis.

If the value stated in the null hypothesis is not contained by the CI, the decision is to reject the null hypothesis.

Let's say in this example the hypotheses are:

H₀: μ = 71

H₁: μ ≠ 71

α: 0.01

99% Confidence level is (71.36;78.64).

As you can see, 71 is not contained in the CI so the decision to take is to reject the null hypothesis, in other words, the population mean is not 71.

I hope it helps!

6 0

3 years ago