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3 years ago

How many gallons are in half a quart

Mathematics

2 answers:

andrew11 [14]3 years ago

7 0

Answer:

1/8 gallon per half quart

Step-by-step explanation:

One quart is 1/4 gallon, so half quart is 1/8 gallon

lys-0071 [83]3 years ago

4 0

Answer:

this seems like a weird question but 0.125

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What is the cosine of angle P?

never [62]

The cosine of an angle is defined as the sine of the complementary angle. The complementary angle equals the given angle subtracted from a right angle, 90°. For instance, if the angle is 30°, then its complement is 60°. Generally, for any angle θ, cos θ = sin (90° – θ).

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3 years ago

A research group conducted an extensive survey of 2968 wage and salaried workers on issues ranging from relationships with their

kodGreya [7K]

Answer:

We need a sample of at least 1797 if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.3% of the population percentage.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

In this problem, we have that:

$p = 0.55$

How large a sample is needed if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.3% of the population percentage?

We have to find n for which $M = 0.023$ . So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.023 = 1.96\sqrt{\frac{0.55*0.45}{n}}$

$0.023\sqrt{n} = 0.9751$

$\sqrt{n} = \frac{0.9751}{0.0023}$

$\sqrt{n} = 423.95$

$\sqrt{n}^{2} = (42.395)^{2}$

$n = 1797$

We need a sample of at least 1797 if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.3% of the population percentage.

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3 years ago

What are the roots of -12x2 + 11x − 3 = 0?

boyakko [2]

This equation is not factor-able, so we can use the quadratic formula.
x=(-11+square root(11^2-4(-12*-3)))/(2*-12)
x=(-11+square root(-23))/(-24)
Since we have the square root of a negative in this equation, there are no real roots for the quadratic.

6 0

3 years ago

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Distribute<br> 5(-4x+6) pls help!!

Dovator [93]

Answer:

-20x+30

Step-by-step explanation:

Here ya go. Hope I helped

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3 years ago

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