Answer:
Solution given:
the angles 2xº and 4yºare complementary
so
2x+4y=90°
dividing both side by 2we get
x+2y=45°
<u>the value of x + 2y</u><u> </u><u>i</u><u>s</u><u> </u><u>4</u><u>5</u><u>°</u><u>.</u>
Answer:
A) 68.33%
B) (234, 298)
Step-by-step explanation:
We have that the mean is 266 days (m) and the standard deviation is 16 days (sd), so we are asked:
A. P (250 x < 282)
P ((x1 - m) / sd < x < (x2 - m) / sd)
P ((250 - 266) / 16 < x < (282 - 266) / 16)
P (- 1 < z < 1)
P (z < 1) - P (-1 < z)
If we look in the normal distribution table we have to:
P (-1 < z) = 0.1587
P (z < 1) = 0.8413
replacing
0.8413 - 0.1587 = 0.6833
The percentage of pregnancies last between 250 and 282 days is 68.33%
B. We apply the experimental formula of 68-95-99.7
For middle 95% it is:
(m - 2 * sd, m + 2 * sd)
Thus,
m - 2 * sd <x <m + 2 * sd
we replace
266 - 2 * 16 <x <266 + 2 * 16
234 <x <298
That is, the interval would be (234, 298)
Answer:
C
Step-by-step explanation:
Null hypothesis: hypthesis to test that there is no significant difference between the specific characteristic of a population. Analysts look to reject a null hypothesis
A. the shipping company's average delivery time is different from 3 days. This is an example of alternative hypothesis. Null hypothesis is writtien as a claim
B. This again is an example of alternate hypthesis. The claim that mean is 0.03 is rejected with the results
C. This is a claim
D. This is rejection of a claim that mean is 1 pound
E. This is rejection of claim that average delivery time is 3 days.
- 5x - 4x + 24 = - 3
9x = 27
x = 3
Answer:
The answer is "Population: All artifacts discovered in the dig. Sample: The selected 2% of the artifacts".
Step-by-step explanation:
The sampling procedure is just the structure or road map towards choosing a sample, and it influences several other important elements of a survey. It provides a fundamental plan including technique for sample selection, and in this, question community of all the items found throughout the dug, and the population of the Sample is 2% of the objects picked.