In order to find the volume of the cabinet, use the volume formula for a rectangular prism, which is the shape of the cabinet.
lwh Formula for volume of a rectangular prism
24 x 72 x 18 Now, plug in each of the values you've been given.
31,104 Multiply the numbers; you might want to use paper and pencil, or a calculator, if you're allowed to.
The volume of the cabinet is 31,104 un³.
Hope this helps!
Answer:
A value two standards deviation from the mean is more likely to occur than a value three standard deviations from the mean.
Step-by-step explanation:
Standard deviation is a quantitative measure of the variability of traits of the subjects in a given population. These traits can range from age, height, weight e.t.c. This deviation is brought about by extreme or abnormal conditions, which is the reason why two deviations is more likely to occur than three deviations.
Moreover, going by the provisions of the empirical rule, If data comes from a population that is approximately symmetrical;
95% of the data will fall within two standard deviations.
99.7% will fall within three standard deviations
Find the attachment below.
Nevertheless, in a symmetrical distribution most of the data values fall around the mean. Two standard deviations is closer to the mean than 3 standard deviations hence more likely to occur.
Answer: 

Step-by-step explanation:
Given : A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72% .
Let 'p' be the new proportion of high school seniors who felt that "getting rich" was an important personal goal .
Claim : 
We know that the null hypothesis has equal sign.
Therefore , the null hypothesis for the given situation will be opposite to the given claim will be :-

And the alternative hypothesis must be :-

Hence, the null hypothesis and the alternative hypothesis that we would use for this test :


The goal is to raise AT LEAST $180, so this automatically indicates that the amount of keychains sold with the price must be the same or more than $180.
k = number of keychains
each keychain is $2.25
2.25k ≥ 180
divide both sides by 2.25 to get the k alone
k ≥ 80
The answer is 2.25k ≥ 180, k ≥ 80
(Hope this isn't confusing)