Answer:
<u>The missing side is 12 cm length</u>
Step-by-step explanation:
1. Let's review the information given to us to solve the case correctly:
Length of the longest side= 13 cm
Length of one leg = 5 cm
2. Using the Pythagorean theorem for finding the length of the second leg, because this is a right triangle:
2nd leg² = Length of the longest side ² - Length of one leg²
2nd leg² = 13 ² - 5 ²
2nd leg² = 169 -25
2nd leg² = 144
2nd leg = √144
2nd leg = 12 cm
<u>The missing side is 12 cm length</u>
Answer:
x is infinite
Step-by-step explanation:
x is a function so
if y=f:x
therefore
Answer:
D. 76
Step-by-step explanation:
because students that has 5 absences and less most likely to get higher than 75 marks. The student who has 8 absences studied at home, he's a genius
So first create and define your variables:
Z = amount of zebra fish
N = amount of neon tetras
Now create your equations:
2z+2.15n=31.20
z+n=15
This is your system. There are multiple methods to use but in this problem I’ll use the substitution method by simplifying the bottom equation.
2z+2.15n=31.20
z=15-n
Now I’ll plug the bottom equation into the top one.
2(15-n)+2.15n=31.20
And just solve from here.
30-2n+2.15n=31.20
0.15n=1.20
n=8
So he bout 8 neon tetras, and 15-8= 7, so he bought 7 zebra fish
Answer:
The margin of error for the 90% confidence interval is of 0.038.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.
This means that 
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Give the margin of error for the 90% confidence interval.
The margin of error for the 90% confidence interval is of 0.038.
