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3 years ago

I WILL MARK BRAINLEST

Mathematics

1 answer:

borishaifa [10]3 years ago

5 0

Answer:

a+ 3c = 26

ab - c = - 14

1/2( c + b)= 2.5or 2 and 1/2

1/2c + b = 1

4c - b = 35

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Three screenshots, answer em all pls

Shtirlitz [24]

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3 years ago

What is the length of the blue segment in A below?

olchik [2.2K]

Answer:

6.47

Since it's just asking for the other side of the diameter, it's equivalent to the radius given already.

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3 years ago

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From a random sample of size 18, a researcher states that (11.1, 15.7) inches is a 90% confidence interval for mu, the mean leng

alexandr402 [8]

Complete Question

From a random sample of size 18, a researcher states that (11.1, 15.7) inches is a 90% confidence interval for mu, the mean length of bass caught in a small lake. A normal distribution was assumed. Using the 90% confidence interval obtain:

a. A point estimate of $\mu$ and its 90% margin of error.

b. A 95% confidence interval for $\mu$ .

Answer:

$\= x = 13.4$ . $E = 2.3$

$10.7 < \mu < 16.1$

Step-by-step explanation:

From the question we are told that

The sample size is n = 18

The 90% confidence interval is (11.1, 15.7)

Generally the point estimate of $\mu$ is mathematically evaluated as

$\= x = \frac{11.1 + 15.7 }{2}$

=> $\= x = 13.4$

Generally the margin of error is mathematically evaluated as

$E = \frac{15.7 - 11.1}{2 }$

=> $E = 2.3$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the equation for the lower limit of the confidence interval is

$\= x - Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{18} } = 11.1$

=> $13.4 - 0.3877 s = 11.1$

=> $s = 5.932$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

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

Generally the margin of error is mathematically represented as

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

=> $E = 1.96 * \frac{5.932}{\sqrt{18} }$

=> $E = 2.7$

Generally 95% confidence interval is mathematically represented as

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

=> $13.4 - 2.7 < \mu < 13.4 + 2.7$

=> $10.7 < \mu < 16.1$

3 0

3 years ago

PLSS HELP IF YOU TURLY KNOW THISS

coldgirl [10]

Answer:

x = 7

Step-by-step explanation:

$7x = 49$

$7x \div 7 = 49 \div 7$

$x = 49 \div 7 = 7$

$\boxed{\green{x = 7}}$

3 0

3 years ago

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Help ASAp peaseeeeeeeeee

PIT_PIT [208]

Answer:

7/6

Step-by-step explanation:

$\frac{ \frac{x}{4} + \frac{x}{3} }{ \frac{x}{2} } = \frac{x( \frac{1}{4} + \frac{1}{3} )}{ x(\frac{1}{2}) } \\ = \frac{ \frac{1}{4} + \frac{1}{3} }{ \frac{1}{2} } \\ = \frac{14}{12} = \frac{7}{6}$

3 0

2 years ago

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