Answer:
12√2
Step-by-step explanation:
Since this is a 45-45-90 triangle, the length of each leg is just the hypotenuse divided by the square root of 2. Therefore, 24/√2 = 24√2/2 = 12√2.
12+5 because 9+8=17 and so does 12+5.
Answer:
a) Z= 0.0228
b) based on the critical value, it is a one tailed test
c) Since the p-value is less than the level of significance (α= 0.05) so we reject the null hypothesis.
This implies that the advertising campaign has been effective in increasing sales.
Step-by-step explanation:
The null hypothesis is H₀ : µ = 8000
The alternative hypothesis is H₁ : µ ˃ 8000
Mean (µ) = 8000
Standard deviation (σ) = 1200
n = 64
We will use the Z test to test the hypothesis
Z = (X - µ)/ (σ/√n)
Z = (8300 – 8000)/ (1200/√64)
Z = 300/ (1200/8)
Z = 300/ 150
Z= 2
From the normal distribution table,
2 = 0.4772
Φ(z) = 0.4772
Since Z is positive,
P(x˃a) =0.5 - Φ(z)
= 0.5 – 0.4773
= 0.0228
The required P-value = 0.0228
The P-value of one tail Z test at α= 0.05 level of significance
P-value = p(Z˃2.5)
= 0.0228
Since the p-value is less than the level of significance (α= 0.05) so we reject the null hypothesis.
This implies that the advertising campaign has been effective in increasing sales.
If I understand this correctly you would multiply $1.10 by 310 and you should get your answer.
5.2g weighs more because A handful of paper clips is 5.2 grams. A handful of push pins is 500 centigram a. Which handful weighs more? So 1c equals .o1 grams so isn't it 5.2 g compared to .05 grams which then means the paper clips are heavier?