Convert the decimal 0.92 to a fraction.

alina1380 [7]

Answer:

For the first one it would be A. x = -3, 4 because they where f(x) and g(x) intersect.

Step-by-step explanation:

For the second one it would be B. Fuction 1 has the larger maximum at (4,1) because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.

7 0

3 years ago

Investing in bonds! PLS HELP

ozzi

1) A zero coupon bond is a bad choice for Ralph because it is a bond bought at a very deep discount but does not earn any interest. He will only get the face value of the bond when it matures.

2) Defaulting means being unable to pay for the debt in time. They will pay for the debt when they have the available funds to do so. Allison will just have to wait until the Greek government has enough money to cover their debts.

3 0

3 years ago

Find a2 and a3 for the geometric sequence 4, a2, a3, 108.

LekaFEV [45]

9514 1404 393

Answer:

a2 = 12

a3 = 36

Step-by-step explanation:

Terms of a geometric sequence have a common ratio. If we call that ratio r, then we have ...

a2 = 4r

a3 = (a2)r = 4r^2

108 = (a3)r = 4r^3

27 = r^3 . . . . . . . . . . . divide by 4

3 = r . . . . . . . . . . cube root

__

a2 = 4(3) = 12

a3 = 12(3) = 36

3 0

3 years ago

A process is producing a particular part where the thickness of the part is following a normal distribution with a µ = 50 mm and

Hitman42 [59]

Answer:

0.13% probability that this selected sample has an average thickness greater than 53

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .