Answer: (36.7, 39.3)
Step-by-step explanation:
Confidence interval for population mean:
, where n= sample size, 
= sample mean, 
= population standard deviation, 
= critical z value.
Given: n= 40 , 
Critical z-value for 90% confidence = 1.645
Then, required confidence interval:
Hence, a 90% Confidence Interval = (36.7, 39.3)
Answer:
x^0=1
Step-by-step explanation:
any number to the power of 0 is 1. its a rule
Answer:
-2.
Step-by-step explanation:
(2/9)^4 * (2/9)^-7 = (2/9)^-3 so
(2/9)^-3 = (2/9)^(2m+1)
So -3 = 2m + 1 ( as the base 2/9 is common to both sides of the equation)
2m = -4
m = -2.
Answer:
The biking part of the triathlon is 11.70 miles away.
Step-by-step explanation:
From the right angle Δ ABC
Since AB = 4 mile
& BC = 11 miles
⇒ 
⇒ 
= 121 + 16
⇒ = 137
⇒ AC = 
⇒ AC = 11.70 miles
Thus the biking part of the triathlon is 11.70 miles away.
The trinomial form ax2 +bx + c is a quadratic form.
Here , We need to bring in zero pairs because we need to get the roots of that quadratic equation.
The roots is referred to as the solutions or the possible value of x to make the equation true.
If the value of c is negative, you would need zero pairs to model the factorization of the polynomial.
The x-tiles on the board determine what the constants are in the factors. The product of these constants is equal to the value of c, so you would need positive tiles on one side of the x-squared tile and negative x-tiles on the other side to have opposite signs on the constants.
Opposite signs on the constants will result in a negative value for c when multiplying the factors.
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