If my math is right it would be -2050.175632
Answer:
Yes, he is meeting his original goal to be successful.
The critical value is 1.833
Step-by-step explanation:
H0: mu = 300
Ha: mu > 300
The test is a one-tailed test because the alternate hypothesis is expressed using greater than.
Test statistic (t) = (sample mean - population mean) ÷ (sample sd/√n)
sample mean = 335
population mean = 300
sample sd = 50
n = 2×5 = 10
t = (335 - 300) ÷ (50/√10) = 35 ÷ 15.81 = 2.21
Degree of freedom = n-1 = 10-1 = 9
Significance level = 5%
Critical value corresponding to 9 degrees of freedom and 5% significance level is 1.833.
Conclusion:
Reject the null hypothesis because the test statistic 2.21 is greater than the critical value 1.833.
His original goal to be successful is contained in the alternate hypothesis, therefore, he is meeting it.
2 x 2 = 4
2 x 2 x 2 = 6
2 x 2 x 2 x 2 = 8
Answer:
11
Step-by-step explanation:
2^3-(30/5)+9
First, you divide 30/5 because it is in parentheses and we are following this rule for order of operations:
P- parentheses
E- exponents
M- multiplication
D- division
A- addition
S- subtraction
so 30/5 = 6 and plugged in is:
2^3-(6)+9
Next, we do exponents:
2^3 = 2x2x2 = 8
plugged back in:
8-(6)+9
Now, we do the math from left to right so:
8-6=2
2+9=11
11 is your answer
Answer:
Diameter of the smaller coin = 2.46 cm
Step-by-step explanation:
Circumference of a coin = 2πr
Circumference of coin A = 8.03 cm
Circumference of coin B = 8.03 cm - 0.33 cm
A.) what is the first step to find the diameter of the smaller coin?
Find the circumference of coin B
Circumference of coin B = 8.03 cm - 0.33 cm
= 7.7 cm
B.) Find the diameter of the smaller coin.
Circumference of a coin = 2πr
7.7 = 2 × 3.14 * r
7.7 = 6.28r
r = 7.7 / 6.28
r = 1.23 cm
Diameter = 2r
= 2 * 1.23 cm
= 2.46 cm
Diameter of the smaller coin = 2.46 cm