Acompany has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one currently being produced. to investigate its length of life, 225 of the new cartridges were tested by counting the number of high-quality printed pages each was able to produce. the sample mean and standard deviation were determined to be 1511.4 pages and 35.7 pages, respectively. the historical average lifetime for cartridges produced by the current process is 1502.5 pages. write down the symbolic form of the hypotheses.

The test hypothesis is :

Step-by-step explanation:

Consider the provided information.

Null hypothesis refer the population parameter is equal to the claimed value.

If there is no statistical significance in the test then it is know as the null which is denoted by , otherwise it is known as alternative hypothesis which denoted by .

The historical average lifetime for cartridges produced by the current process is 1502.5 pages.

Hence, the test hypothesis is :

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )