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3 years ago

By solving the inequality 4.5a < 18, the answer will be

Mathematics

2 answers:

gogolik [260]3 years ago

7 0

Answer:

a<4

Step-by-step explanation:

step-by-step:

4.5a<18

Step 1: Divide both sides by 4.5.

4.5a/4.5 < 18/4.5

Answer:

a<4

Anna35 [415]3 years ago

6 0

Answer: D plz mark me brainliest (tap the crown on the bottom right of an answer)

Step-by-step explanation: it has to be D because it can't be larger then 4

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The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran

Murljashka [212]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is rejected this means that $\mu \ne 0.5025$

The 95% confidence interval is $0.5045608 < \mu < 0.5046392$

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is $\= x = 0.5046 \ in$

The population mean is $\mu = 0.5025 \ in$

The null hypothesis is $H_o : \mu = 0.5025$

The alternative hypothesis is $H_a : \mu \ne 0.5025$

The test statistics is mathematically represented as

$t = \frac{0.5046 - 0.5025}{ \frac{0.0001}{\sqrt{25} } }$

$t = 105$

So the p-value from the z-table is mathematically represented as

$p-value = 2 * P( z > 105)$

$p-value = 0.000$

seeing that

$p-value < \alpha$ we reject the null hypothesis

The critical value of

$\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }*\frac{s}{\sqrt{n} }$

=> $E = 1.96 *\frac{0.0001}{\sqrt{25} }$

=> $E =3.92 *10^{-5}$

The 95% confidence level is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $0.5046 - 3.92 *10^{-5} < \mu < 0.5046 + 3.92 *10^{-5}$

=> $0.5045608 < \mu < 0.5046392$

8 0

3 years ago

A box contains 4 red, 2 white and 3 green balls. Two balls are drawn out of the box in succession without replacement. What is t

IrinaK [193]

The answer is 2/9 because there is a total of 9 balls. And the chances are 2 so that's how we get 2/9

Hope I was help !!! :D

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4 years ago

Read 2 more answers

What is an equivalent expression for (6^4 *8^-7)^-9

OlgaM077 [116]

Answer:

(6⁴ * 8⁻⁷) ⁻⁹

equivalent expressión is:

1 / (6⁴ * 8⁻⁷)⁹

Step-by-step explanation:

(6⁴ * 8⁻⁷) ⁻⁹

= 1 / (6⁴ * 8⁻⁷)⁹

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4 years ago

What is the probability of rolling a 2 or not rolling a 2 using a regular 6-sided number cube?

Serggg [28]

Answer:

100%

Step-by-step explanation:

P(=2) = 1/6

P(≠2) = 5/6

P = 1/6 + 5/6 = 6/6 = 1

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