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3 years ago

Line I is shown below Right triangles A B C and DEF are drawn to measure the slope of the line

Mathematics

1 answer:

lina2011 [118]3 years ago

8 0

Answer:

Rise: 8.....Run: 4.... Slope: 2

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In a random sample, 3 of 400 computer chips are defective. Based on

Ne4ueva [31]

Answer:

750 of 100,000 chips would be expected to be defective.

Step-by-step explanation:

(3/400) and (?/100,000)

100,000 ÷ 400 = 250.

Multiply 250 by 3 to find the number of defective chips.

250 x 3 = 750.

5 0

3 years ago

Two processes are used to produce forgings used in an aircraft wing assembly. Of 200 forgings selected from process 1, 10 do not

tangare [24]

Answer:

$\bar p_1=0.05\\\bar p_2=0.067$

b-Check illustration below

c.(-0.0517,0.0177

Step-by-step explanation:

a.let $p_1 \& p_2$ denote processes 1 & 2.

For $p_1$ : T1=10,n1=200

For $p_2$ :T2=20,n2=300

Therefore

$\bar p_1=\frac{t_1}{N_1}=\frac{10}{200}=0.05\\\bar p_2=\frac{t_2}{N_2}=\frac{20}{300}=0.067$

b. To test for hypothesis:-

$H_0:p_1=p_2\\H_A=p_1\neq p_2\\\alpha=0.05$

ii.For a two sample Proportion test

$Z=\frac{\bar p_1-\bar p_2}{\sqrt(\bar p(1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})}\\$

iii. for $\frac{\alpha}{2}=(-1.96,+1.96)$ (0.5 alpha IS 0.025),

reject $H_o$ if $|Z|>1.96$

iv. Do not reject $H_o$ . The noncomforting proportions are not significantly different as calculated below:

$z=\frac{0.050-0.067}{\sqrt {(0.06\times0.94)\times \frac{1}{500}}}$

z=-0.78

c. $(1-\alpha).100\%$ for the p1-p2 is given as:

$(\bar p_1-\bar p_2)\pm Z_0_._5_\alpha \times \sqrt \frac{ \bar p_1(1-\bar p_1)}{n_1}+\frac{\bar p_2(1-\bar p_2)}{n_2}\\\\=(0.05-0.067)\pm 1.645 \times \sqrt \ \frac{0.05+0.95}{200}+\frac{0.067+0.933}{300}\\$

=(-0.0517,+0.0177)

*CI contains o, which implies that proportions are NOT significantly different.

4 0

3 years ago

Factorise this expression as fully as possible<br> 8x2-<br> - 4X

NARA [144]

Answer:

4x(2x - 1)

Step-by-step explanation:

8x² - 4x ← factor out 4x from each term

= 4x(2x - 1)

6 0

2 years ago

What is 34,567.992 rounded to nearest thousandth

lesya692 [45]

The 2 on the end is the thousandths place. In order to know whether it should remain a '2' or increase to a '3', we would need to know what comes after it.

-- If there's nothing after it, then it's already written to the nearest thousandth.

-- If there <em>is</em> more after it, we don't know what that is, so we have nothing to base a decision on.

4 0

3 years ago

A triangle has an area of 150 cm 2. What is the area of the triangle if the height of the triangle is reduced to 1/2 of its orig

Alexeev081 [22]

37.5 should be your answer

8 0

4 years ago