To make it easier, lets say Justin = J, Eva = E, and Emma = M. Then, J = E + 7.50 M = J -12 J + E + M = 63 You can substitute for M in the third equation using the second equation, and you get: J + E + J - 12 = 63 Clean it up a little bit and you get: 2J + E = 75 You know J = E + 7.50, so substitute that for J and you get: 2(E + 7.50) + E = 75 2E + 15 + E = 75 3E + 15 = 75 3E = 60 E = 20 ; meaning that Eva has $20. Justin has $7.50 more than Eva, so he has $27.50. Emma has $12 less than Justin, so Emma has $15.50. Double check your answer by making sure they all add up to 63, which they do.
Answer:
A
Step-by-step explanation:
I used a calculator:
(-4a^2)(2a^-3)^-4 = -a^14/4
Answer:
t = -18, 18
Step-by-step explanation:
Take the square root of both sides of the equation.
... t = ±√324 = ±18
Answer:
<u>greater risk of a Type I error and a lower risk of a Type II error </u>
Step-by-step explanation:
<em>Remember</em>, in statistics, alpha (or the significance level) α, refers to the probability of rejecting the null hypothesis when it is true.
Hence, setting alpha at 0.05 (or 5%) instead of 0.01 (or 1%) implies that the researcher is increasing how far away the statistics data needs to be from the null hypothesis value before they can decide to reject the null hypothesis. In other words, a probability of 5% is greater than 1%, resulting in a greater risk of a Type I error and a lower risk of a Type II error.