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3 years ago

Which of the following gives all of the sets that contain -1/2?

1 answer:

3 0

ANSWER

The set of all rational numbers and the set of all real numbers.

EXPLANATION

The set of rational numbers contains all numbers that can be written in the form,

$\frac{a}{b}$

where a and b are integers and b≠0.

The given number is

$- \frac{1}{2}$

It belongs to the set of rational numbers.

The set of rational numbers is a subset of the set of real numbers.

Hence

$- \frac{1}{2}$
also belongs to the set of real numbers.

The correct answer is A.

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eimsori [14]

Answer:

Opening: Opens upwards

Axis of Symmetry: -7/2

Vertex: (-7/2, -81/4)

X - intercepts: (1, 0) and (-8, 0)

Y - intercept: (0, -8)

Step-by-step explanation:

Opening: 'a' is greater than zero

Axis of Symmetry:

$\frac{-7}{2(1)} =\frac{-7}{2}$

Vertex:

$y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}$

X - intercepts:

(x-1)(x+8)

x = 1 and x = -8

Y - intercept: (0, -8)

$y= 0^{2} +7(0) -8\\\\y= -8\\$

5 0

3 years ago

"You measure 34 dogs' weights, and find they have a mean weight of 67 ounces. Assume the population standard deviation is 13.5 o

liraira [26]

Answer:

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{13.5}{\sqrt{34}} = 4.54$

The lower end of the interval is the sample mean subtracted by M. So it is 67 - 4.54 = 62.46 ounches.

The upper end of the interval is the sample mean added to M. So it is 67 + 4.54 = 71.54 ounces.

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

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3 years ago

Use the remainder theorem to determine the remainder when 3t2 + 5t − 7 is divided by t − 5. A. 93 B. 43 C. 107 D. 57

Usimov [2.4K]

Using remainder theorem, we get:

$P(t) = 3t^{2} + 5t - 7$

Substitute t = 5 into the equation:
$P(5) = 3(5)^{2} + 5^{2} - 7$
$P(5) = 75 + 25 - 7 = 93$

Thus, we get a remainder of 93 or (A)

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3 years ago

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dedylja [7]

Answer:

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Step-by-step explanation:

If 15x=30 and 15*2=30 then x=2

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2 years ago

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Sergio039 [100]

Answer:

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