The two lines graphed below are parallel. How many solutions are there to the

Multiply.<br> 4v (3)<br> help?

dsp73

Answer:

12th ...

Step-by-step explanation:

4v (3)

=4v × 3 = 12v

6 0

3 years ago

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:

a

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

b

$10.7 < \mu < 16.1$

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

What would be the profit when the price is $35?

Roman55 [17]

Step-by-step explanation:

The total expenses stay the same at $92,039.

The income changes to 12,000 × $35 = $420,000.

So the profit is $420,000 − $92,039 = $327,961.

3 0

3 years ago

ricardo purchased a bunk bed for his children fora sale price of $276.25. The sale price was 65% of the original price. Calculat

nikklg [1K]

Use the formula S=P-PD

S is sale price, original price is P, and PD is discounted percent,

276.25=P-P(.65), I turned the percent into a decimal.

276.25=P(1-.65)

276.25=P(.35)

Now cross multiply.

$\frac{276.26}{.35}=\frac{P(.35)}{.35}\\\\P=\frac{276.26}{.35}=789.31$

Hope this helps, now you know the answer and how to do it. Stay healthy and safe and HAVE A BLESSED AND WONDERFUL DAY! :-)

- Cutiepatutie ☺❀❤

6 0

3 years ago

A square purple rug has a orange square in the center. The side length of the orange square is x inches. The width of the purple

Liono4ka [1.6K]

Answer:

578 + 48 square inches

Step-by-step explanation:

The computation of the area of the purple band is as follows:

Area of the green square = side^2 = x^ square inches

And, the area of the orange square = side^2

The side would be = = 12 + 12 +x = 24 + x

And, now the area would be = (x + 24)^2

Now the area of the orange band is

= Area of the orange square area of the green square

= (x + 24)^2 - x^2

= x^2 + 24^2 + 48 - x^2

= 578 + 48 square inches

4 0

2 years ago