(a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected

Answer:

The distance from the point (0,1,1) to the specified line is zero.

Step-by-step explanation:

Considering the parametric equations of the line,

x=2t, y=5-2t, z=1+t

In order to calculate the distance from (0,1,1), we must remove t from the equations above, such that

whose direction ratios are (l,m,n)=(3,2,-2) and the distance from point (a,b,c)=(0,1,1) is defined as

The distance between the point (0,1,1) and (1) amounts to zero. Therefore, the point (0,1,1) is located on the line (1).

11,000 multiplied by 16% equals $1,750, which when multiplied by 4 gives a total of $7,040.

Therefore, after 4 years, the car's value is $11,000 - 7,040 = $3,960.

We opt to accept the null hypothesis. Given the following details provided: the Sample mean equals 28.8 miles per gallon, Sample size n is 120, and Alpha α is 0.01 with a sample standard deviation of 6.89 miles per gallon. Initially, we set up the null and alternative hypotheses. Utilizing a two-tailed t-test facilitates this hypothesis testing. By substituting the relevant values we calculate, and eventually conclude that we fail to reject the null hypothesis, endorsing that the average MPG for the Toyota Highlander Hybrid vehicles is indeed 28 miles per gallon.

Answer:

In approximately 81 days, it is likely that the teacher on bus duty will be certified in CPR

Step-by-step explanation:

The probability of a teacher obtaining certification in Cardio-Pulmonary Resuscitation (CPR) is as follows:

36 out of 80

Hence

In a school year lasting 180 days, how many days can we anticipate that the teacher on bus duty will likely have CPR certification?

45% of the time

0.45 multiplied by 180 results in 81 days

In approximately 81 days, it is likely that the teacher on bus duty will be certified in CPR

Answer:

0.012 km/hr

Step-by-step explanation:

(1200 cm)(1 m/100 cm)(1 km/1000 m) = 0.012 km/hr