How do you use proofs to show that triangles are congruent

A horse drawn drawn carriage travels 47 2/3 kilometers in 4 1/3 hours at this rate how many kilometers does it travel per hour

MA_775_DIABLO [31]

rate = (47 2/3 km)/(4 1/3 hrs) = (143/3)/(13/3) = 143/13 = 11 km/hr

4 0

3 years ago

What is the mean of 9,5

larisa86 [58]

Answer:

7

Step-by-step explanation:

$mean = \frac{9 + 5}{2} = \frac{14}{2} = 7 \\$

7 0

3 years ago

The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekendis $600 or less. Amember of the hote

alexdok [17]

Answer:

$H_{0}: \mu \leq 600\text{ dollars}\\H_A: \mu > 600\text{ dollars}$

Step-by-step explanation:

We are given the following in the question:

Manager's claim: The mean guest bill for a weekend is $600 or less.

A member of the hotel’s accounting staff noticed that the total charges for guest bills have been increasing in recent months.

A sample of weekend guest bills were collected to test the manager’s claim.

We design the null and alternate hypothesis in the following manner:

$H_{0}: \mu \leq 600\text{ dollars}\\H_A: \mu > 600\text{ dollars}$

Conclusion when null hypothesis cannot be rejected:

When we fail to reject the null hypothesis and accept the null hypothesis, thus, we have enough evidence to support the manager's claim that the mean guest bill for a weekend is $600 or less.

Conclusion when null hypothesis can be rejected:

When the null hypothesis is rejected, we accept the alternate hypothesis.

Thus, there are not sufficient evidence to support the manager's claim that the mean guest bill for a weekend is $600 or less.

5 0

3 years ago

PLS HELP ASAP.........

Alchen [17]

Answer:

Step-by-step explanation:

Because there is sound and a tune that plays again anytime people are shown having fun at the carnival, the Kit Kat commercial is effective. When the sound is silenced, the commercial's lyrics will come to the viewer's thoughts without any further thought.

4 0

2 years ago

The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o

Andrej [43]

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

5 0

2 years ago