Answer:
19+8w
Step-by-step explanation:
Distributive:
5+7(w+2)+w
5+7w+14+w
Combine Like Terms:
5+7w+14+w
19+8w
Answer:
y^24
Step-by-step explanation:
a variable with an exponent has an exponent which is divisible by 3 then it is a perfect cube.
Answer:
CI =(0.333, 0.480)
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as shown;
CI = p±Z * √p(1-p)/n±0.5/n
Z is the z-score at 90% confidence
p is the sample proportion
n is the sample size
Given n = 144, p = 0.4 and z-score at 90% CI = 1.645 (from z table)
Substituting this values;
CI = p ± 1.645*√0.4(1-0.4)/144 ±0.5/n
CI = 0.4 ± 1.645*√0.4(0.6)/144 ± 0.5/144
CI = 0.4 ±1.645 * √0.24/144 ± 0.00347
CI = 0.4 ±1.645 * 0.04087± 0.00347
CI = 0.4±0.06723±0.00347
CI =(0.333, 0.480)
Answer:
If:
(1)
And we have to rewrite the following expresion in terms of
:
(2)
Firstly we have to rearrange the right side of equation (2) in terms of
, factorizing by the common factor:
Then, we can substitute
by
:
And set it equal to zero:
>>>>This is the resulting equation
Now, each term of an algebraic expresion (like the equation above) is composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).
In this case, the variable is
and the number that multiplies the variable (the coefficient) is
, whereas the constant (which is the term with no variable) is 
Answer:
There is an increase of 10%
Step-by-step explanation: