All categories

2 years ago

20.

Mathematics

2 answers:

Maru [420]2 years ago

6 0

B. (4,3) this is the point where the parabola crosses its axis of symmetry(vertex)

n200080 [17]2 years ago

3 0

(4,3)

Hope this helps

You might be interested in

Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a

rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

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 $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error 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.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that $\sigma = 2$

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when $M = 0.5$ . So

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

$0.5 = 1.96\frac{2}{\sqrt{n}}$

$0.5\sqrt{n} = 2*1.96$

Dividing both sides by 0.5

$\sqrt{n} = 4*1.96$

$(\sqrt{n})^2 = (4*1.96)^2$

$n = 61.5$

Rounding up

We would have to take a sample of 62 to achieve this result.

8 0

3 years ago

An e-book reader regularly sells for $220. It is on sale for 15% off

MaRussiya [10]

Answer:

Answer is $10,144.50

Step-by-step explanation:

15% of 220 =33

220- 33 = 187

8.5% of 187 =15.89

187+15.89=202.89

202.89 x 50 =10,144.50

3 0

3 years ago

Identify the domain of the relation.* {(8,5), (2, 2), (-9, 4), (-7,-4), (-7, 7) }

mario62 [17]

Answer:

8, 2, - 9, - 7

Step-by-step explanation:

The domain is the first coordinate of an ordered pair. This means that the domain is going to be x. In this set of ordered pairs, the domain is 8, 5, - 9, - 7.

Hope This Helps :)

6 0

3 years ago

What are real numbers? How are real numbers used to solve problems?

Tom [10]

Answer:

The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2

Real numbers are used in measurements of continuously varying quantities such as size and time, in contrast to the natural numbers 1, 2, 3, …, arising from counting.

Hope this helps!

3 0

3 years ago

5= 3 1 (x+7) ) x = <br> What is it?

aleksandrvk [35]

Answer:

Step-by-step explanation:

5= 31(x +7)

5= 31x + 217

5 - 217 = 31x + 217 - 217

212 = 31x

212/31 = 31x/31

212 = x

x= 212

5 0

3 years ago