Answer:
Step-by-step explanation:
Given that X, the number of square feet per house is N(mean, 137)
Sample size = 19
Sample mean x bar =1350 sq ft
Since population std dev is given,
std error of sample = 
Since sample size is small, t critical value can be used
df = 18
t value for 80% two tailed = 1.333
Margin of error = ±1.333(std error) = ±
Confidence interval = sample mean ±margin of error
= 
The first part says the sum of the squares of two consecutive integers or in other words (x)(x)+(x+1)(x+1) so we can cross out A because 2 and 3 are prime numbers (no factors) we can cross out all the others because the square root of 52 is not an integer so any equation with 52 in it does not satisfy the requirement. so none of them are corect. additionally, some of the equations are obviously false such as 52+62=61
The derivative of 1/logx is With the chain rule.
1log(x)=log(x)−1 is ,= -1xlog(x)2 .
The by-product of logₐ x (log x with base a) is 1/(x ln a). Here, the thrilling issue is that we have "ln" withinside the by-product of "log x". Note that "ln" is referred to as the logarithm (or) it's miles a logarithm with base "e".
The by-product of 1/log x is -1/x(log x)^2. Note that 1/logx is the reciprocal of log.
Read more about derivatives;
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Answer:
x = 10
missing angle = 83°
Step-by-step explanation:
These are supplementary angles meaning they have a sum of 180°.
8x + 3 + 97 = 180
8x + 100 = 180
8x + 100 - 100 = 180 - 100
8x = 80
x = 10
Substitute the value for the variable.
8(10) + 3
80 + 3
83
If 1/5 of an apple is consumed in three days, we would do 3 x 5, which would give us 15. That means it takes 15 days for the ant farm to consume 1 apple. Times that by three, and it takes an ant farm 45 days to consume 3 apples.
