Step-by-step explanation:
step 1. what is the question? probably solve for x. okay.
step 2. 4^(2x) + 1 = 4
step 3. 4^(2x) = 3 subtract 1 from each side
step 4. ln4^(2x) = ln3 take on of each side
step 5. 2xln4 = ln3 definition of logs
step 6. 2x = ln3/ln4 divide both sides by ln4
step 7. x = ln3/2ln2^2 divide both side by 2 and replace 4 with 2^2
step 8. x = ln3/4ln2.
Answer:
a: 28 < µ < 34
Step-by-step explanation:
We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...
We get a mean of 222/7 = 31.7143
and a sample standard deviation of: 4.3079
We can now construct our confidence interval. See the second attached photo for the construction steps.
They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)
The t-value is: 1.943
We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.
Answer:
They're supplementary angles AND same-side interior angles.
I would first add 5 and 2 together, then multiply that by 3. Finally you would subtract the 1. After solving for what is inside the parentheses you would multiply it by 2 for your final answer.
2•(3(5+2)-1)
2•(3(7)-1)
2•(21-1)
2•(20)
40
Answer:
Yes.
Step-by-step explanation:
4.7 is able to be written as a fraction, being a rational number.
Hope it helps!!
Let me know if I'm wrong...