Find the difference between x and y, so 3 and 27, the difference is 9. To see if its constant, put it into 9*8, which is 72, so the constant is 9. To find the answer in the blanks, plug in 9 and the number to find the answer.<span />
Justify "<span>x2 = 25 is {±5}"
First, please write x^2, not x2.
</span><span>x^2 = 25; solve for x. Take the sqrt of both sides. Must write "plus or minus " in front of the sqrt of 25:
x^2 = 25 becomes x = plus or minus 5, so x: {-5, 5}</span>
Answer:
Distance between Nauru and Galapagos islands = 11525 Km to the nearest Km
Step-by-step explanation:
The angle between the two Islands is given as X
X = (180 - 166.56) + (180 - 90.30)
X = 13.44° + 89.70°
X = 103.14
Distance between the islands = length of the arc with angle X subtended at the center of the earth of radius R.
Length of arc = (X/360) × 2πR
Where, R, radius of the earth = 6400 Km
Length of arc = (103.14/360) × 2π × 6400 Km
Length of arc = 11525.48 Km
Therefore, distance between Nauru and Galapagos islands = 11525 Km to the nearest Km
Answer:
Infinite
Step-by-step explanation:
Answer:
The minimum score a person must have to qualify for the society is 162.05
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Test scores are normally distributed with a mean of 140 and a standard deviation of 15. This means that
.
What is the minimum score a person must have to qualify for the society?
Since the person must score in the upper 7% of the population, this is the X when Z has a pvalue of 0.93.
This is
.
So




The minimum score a person must have to qualify for the society is 162.05