Answer:
(c) H0 should be rejected
Step-by-step explanation:
Null hypothesis (H0): population mean is equal to 5
Alternate hypothesis (Ha): population mean is greater than 5
Z = (sample mean - population mean) ÷ (sd/√n)
sample mean = 5.3, population mean = 5, sd = 1, n = 500
Z = (5.3 - 5) ÷ (1/√500) = 0.3 ÷ 0.045 = 6.67
Using the normal distribution table, for a one tailed test at 0.01 significance level, the critical value is 2.326
Conclusion:
Since 6.67 is greater than 2.326, reject the null hypothesis (H0)
Answer:
2x-64<108
One solution was found :
x < 86
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
2*x-64-(108)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
2x - 172 = 2 • (x - 86)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by 2
Solve Basic Inequality :
2.2 Add 86 to both sides
x < 86
To calculate hypothenuse you use the formula a^2+b^2=c^2 where c is the length of the hypothenuse.
1. 5^2+7^2=c^2
2.25+49=74
3. Now you will square root the 74
4. The hypothenuse is equal to 8.6
Answer:
2
Step-by-step explanation:
Since the 3's are the same on either side, you need to find a number that, when multiplied by 9, yields 18. The only number that satisfies that is 2, which is the answer. Hope this helps!
