: A furniture salesperson earns 6.5% commission on his weekly sales. If he sells $12,000 worth of furniture in a week, how much

Answer:

The appropriate ratio to convert 45 cm into feet is 1 foot / 2.54 cm since the centimeters will cancel out.

Step-by-step explanation:

We aim to find the ratio that will allow us to convert from centimeters to feet for 45 cm.

The right ratio here is 1 foot / 2.54 cm, as the cm unit will be eliminated, resulting only in feet.

This works as follows;

1 foot / 2.54 cm * 45 cm.

This simplifies to;

(45 cm * 1 foot) / 2.54 cm.

Answer:

Based on the findings, we infer that the average cost of a wedding is lower than the $30,000 that was initially suggested.

Step-by-step explanation:

The following data set is provided: (in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

where denotes data points, represents the mean, and n indicates the number of samples.

The sum of squares of the differences equals 3408750

The population mean, μ = $30,000

The sample mean, = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $697.82

Initially, we formulate the null hypothesis and the alternative hypothesis.

A one-tailed t-test will be conducted for this analysis.

Formula:

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<pwe do="" not="" accept="" the="" null="" hypothesis="" and="" reject="" it.="">

Thus, we conclude that the average wedding cost is indeed less than the advertised $30,000.

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The likelihood that Mary was the one who packed the dinner stands at 0.15625. To clarify, the probability of an event is defined as the chance that it will occur relative to the total possible outcomes. Let's analyze the problem at hand, which pertains to Conditional Probability. The formula we use generally is as follows: Let: The chance of John packing dinners without a salt packet is denoted as P(J), for Mary, it is P(M), and for Sue, it is P(S). Hence, if there's no salt in the dinner I purchased, the probability that Mary did the packing is calculated as follows.

d(-3 + x) = kx + 9

• Distribute d within the parentheses:

-3d + dx = kx + 9

• Subtract kx from both sides:

-3d + dx - kx = 9

• Add 3d to both sides:

dx - kx = 9 + 3d

• Factor x from dx - kx:

x(d - k) = 9 + 3d

• Divide both sides by (d - k):

x =

• To further simplify, factor 3 out of the numerator.

x =

<span>A number line is a visual method for performing addition using points on a line.
=> 235 + 123
Begin at 0 and move to 235. From 235, move forward another 123 units.
Then from zero mark the position you reach after adding 123 to 235.

This gives:
=> 235 + 123
=> 358.
See the attached image for a number line depiction.</span>Answer: