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2 years ago

Ten is less than or equal to the difference of a number and negative 4:

Mathematics

1 answer:

pentagon [3]2 years ago

4 0

Answer:

n - (-4) ≥ 10

4(n+5) ≥ 48

Step-by-step explanation:

n - (-4) ≥ 10

n + 4 ≥ 10

n ≥ 6

4(n+5) ≥ 48

4n + 20 ≥ 48

4n ≥ 28

n ≥ 7

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Find the distance between the points (4, 6) and (2, -6). Round to the nearest tenth.

Deffense [45]

Answer:

The correct answer is B.12.2

Step-by-step explanation:

5 0

3 years ago

In a quality control test of parts manufactured at Dabco Corporation, an engineer sampled parts produced on the first, second, a

sammy [17]

Answer:

p value = 0.0174

Conclusion : we reject the null hypothesis

Step-by-step explanation:

Thinking step:

We need to perform a test to determine if the proportion of the good parts is the same for all three shifts at a significance level of $\alpha = 0.05$

Assumption : all the population for each or the three shifts is not equal.

Calculation:

Let p₁ be the sample of the first shift

p₂ be the sample of the second shift

p₃ be the sample of the third shift

According to the null hypothesis

H₀ = p₁ = p₂ = p₃

In other words, all the population sample proportions are equal.

Alternatively, we can assume that the three shift are not equal p₁ ≠ p₂ ≠ p₃

Tabulating and performing the $\chi$ ² test gives 8.10

degrees of freedom:

df = k - 1

= 3 - 1 = 2

Thus the degree of freedom is 2

Solving using the MINITAB software gives: p = 0.174

The solution shows that the p value < level of significance, then p-value lies in the range 0.0174≤ $\alpha$ ≤0.05

Therefore, we reject the null hypothesis based on the fact that the three shifts are not equal.

5 0

3 years ago

If the points (0,0), (-1, 1), and (-2,2) lie on the graph of function h, then which of the following rules could represent the

Alex Ar [27]

Answer: h(x) = |x|

Explanation:

h(0) = |0| = 0

h(-1) = |-1| = 1

h(-2) = |-2| = 2

4 0

2 years ago

Which point would be a solution to the system of linear inequalities ?

brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

$y\leq \frac{4}{3}x+5$ ----> inequality A

$y\geq -\frac{5}{2}x+5$ ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

$-1\leq \frac{4}{3}(0)+5$

$-1\leq5$ ----> is true

Inequality B

$-1\geq -\frac{5}{2}(0)+5$

$-1\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

$3\leq \frac{4}{3}(0)+5$

$3\leq5$ ----> is true

Inequality B

$3\geq -\frac{5}{2}(0)+5$

$3\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

$-6\leq \frac{4}{3}(-6)+5$

$-6\leq-3$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(-6)+5$

$-6\geq 20$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

$-6\leq \frac{4}{3}(12)+5$

$-6\leq21$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(12)+5$

$-6\geq -25$ ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

8 0

3 years ago

What is the value of the ratio of the surface area to the volume of the cylinder?

Stella [2.4K]

Answer:

Cylinder Surface Area = (2 • π • r²) + (2 • π • r • height)

Surface Area = (2 * PI * 7^2) + (2*PI*7*22)

Surface Area = 307.8760800518 + 967.6105373057

Surface Area = 1,275.4866173575 Square Inches

Cylinder Volume = π • r² • height

Volume = PI * 7^2 * 22

Volume = 3,386.6368805698 Cubic Inches

Surface Area to Volume = 1,275.4866173575 / 3,386.6368805698 =

0.3766233766

Answer is A

Source: https://www.1728.org/diam.htm

Step-by-step explanation:

5 0

3 years ago