List all number sets that apply to each number. 1) 0.125 2) 18/19
1 answer:
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Answer:
(1) The required ratio of spirit to varnish is 1:3.
(2) You need 80 ml of mineral spirit.
(3) The ratio of tapestries' heights to width is 3:2.
Step-by-step explanation:
(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.
So,
Thus, The required ratio of spirit to varnish is 1:3.
(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.
Let be the quantity of total solution.
Then, .
⇒
⇒
⇒
⇒
That is, total solution is 320 ml.
Now, Spirit = Total solution - Varnish
⇒Spirit = 320ml-240ml
⇒Spirit = 80ml
Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.
(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.
Then, dimensions are 15m long and 10m wide.
Now, Height : Width = 15:10
⇒
⇒
Hence, the ratio of tapestries' heights to width is 3:2.
Answer:
The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).
b)Yes, the proportion of girls is significantly different from 0.5.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of .
For this problem, we have that:
In the study 340 babies were born, and 289 of them were girls. This means that
Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born.
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).
Does the method appear to be effective?
b)Yes, the proportion of girls is significantly different from 0.5.