If Jose earns $1700 this year selling T-shirt’s he screen prints in his garage what taxes would he need to pay?

Answer:

a. Alice

b. Briana

c. 0.51 minutes

Step-by-step explanation:

a. Alice's formula is applicable for any t > 0 minutes, while Briana’s is only applicable when

2t - 1 > 0

2t > 1

t > 1/2 minutes

b. They complete the race when their total distance equals 5 kilometers. For Alice:

t/4 = 5

t = 20 minutes

For Briana:

√(2t - 1) = 5

2t - 1 = 25

2t = 26

t = 13 minutes

c. They reach the same point when they have traveled the same distance, expressed as:

t/4 = √(2t - 1)

(t/4)² = 2t - 1

t²/16 = 2t - 1

t² = 16(2t - 1)

t² = 32t - 16

t² - 32t + 16 = 0

Using the quadratic formula:

Only the second solution fits this scenario because the race concluded before they took 31.49 minutes.

Answer:

The anticipated total weight of the child's lollipop and two chocolate bars is 5.5 oz.

Step-by-step explanation:

Normal probability distribution

When dealing with a normal distribution, we apply the z-score formula.

In a dataset featuring a mean of and a standard deviation of , the z-score for a value X is calculated as:

The Z-score indicates the number of standard deviations a measurement is from the mean. After computing the Z-score, we utilize the z-score table to find the corresponding p-value for this score. This p-value represents the probability that the measured value is less than X, essentially the percentile of X. By subtracting the p-value from 1, we determine the likelihood that the measured value exceeds X.

Adding normal variables:

The overall mean is the sum of individual means.

We calculate the expected combined weight of the child's lollipop and the two chocolate bars.

The child's lollipop averages 1.5 oz

Two chocolate bars average 2 oz each

Combining one lollipop and two chocolate bars gives

The total average is 1.5 + 2*2 = 5.5 oz

Hence, the expected combined weight of the child's lollipop and the two chocolate bars is 5.5 oz.