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3 years ago

Find the slope of this line: (15,7) (3,-2) Help

Mathematics

1 answer:

Oliga [24]3 years ago

5 0

Answer:

$m=\frac{3}{4}$

Step-by-step explanation:

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(15,\:7\right),\:\left(x_2,\:y_2\right)=\left(3,\:-2\right)$

$m=\frac{-2-7}{3-15}$

$\mathrm{Refine}$

$m=\frac{3}{4}$

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Find the area (no explanation needed)

Irina-Kira [14]

Area of bottom rectangle:-

2(8)
16cm²

Area of rectangle above it:-

6(2)
12cm²

Area of rectangle above it

11(2)
22cm²

Area of triangle:-

1/2(11)(6)
11(3)
33cm²

Total:-

12+16+22+33
83cm²

7 0

2 years ago

A quality control technician works in a factory that produces computer monitors. Each day, she randomly selects monitors and tes

jeka94

Answer:

There is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 300

p = 5% = 0.05

Alpha, α = 0.05

Number of dead pixels , x = 24

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.05\\H_A: p > 0.05$

This is a one-tailed(right) test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{24}{300} = 0.08$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.08-0.05}{\sqrt{\frac{0.05(1-0.05)}{300}}} = 2.384$

Now, we calculate the p-value from excel.

P-value = 0.00856

Since the p-value is smaller than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Conclusion:

Thus, there is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.

5 0

3 years ago

Anyone wanna talk with me :) <3

Kisachek [45]

Heyyyy

Step explanation

4 0

3 years ago

Read 2 more answers

Using the discriminant, describe the nature of the roots for the equation <br> 49x^2 − 28x + 4 = 0.

scZoUnD [109]

Answer:

Put the equation in standard form by bringing the 4x + 1 to the left side.

7x2 - 4x - 1 = 0

We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.

b2 - 4ac In this case, a = 7, b = -4, and c = -1

(-4)2 - 4(7)(-1)

16 + 28 = 44

Now here are the rules for determining the nature of the roots:

(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)

(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)

(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)

44 > 0, so there are two real roots

4 0

3 years ago

The graph of f(x) = 2^x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2^x − k.

Yuri [45]

The answer would still be 3. Nothing changes

6 0

3 years ago

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