Answer:
80%
Step-by-step explanation:
Given:
Team D used a recipe that consists of 20 cups of sand, 2 cups of flour, and 3 cups of water.
Question asked:
How does the percent of sand in Team D's recipe compare to that of the other teams ?
Solution:
Team D used a recipe that consists of sand = 20 cups
Team D used a recipe that consists of flour = 2 cups
Team D used a recipe that consists of water = 3 cups
Total number of cups together = 20 + 2+ 3 =25 cups
Now we will have to find percent of cups of sand out of the total number of cups.
By using formula of percentage,
Percent = 

Therefore, 80% of sand in Team D's recipe compare to that of the other teams.
Answer:
a) T test
b) Claim
because critical value is not equal to test statistic then reject null hypothesis
Step-by-step explanation:
Construction of hypothesis
H₀ : p = 75
H₁ : p ≠ 75
Here Standard deviation = 7
sample = n = 50
Average = x-bar = 78
Level of significance:
∝ = 5% = 0.05
Degree of freedom:
df = n-1
= 50 -1 = 49
Critical value :
± 1.96
a) T test
test t is used as average X mean is used
Test Statistic:
t = X₂ - X₁ / Sd /√n
= 78 - 75 / 7/√50
=3.0304
Critical region :
We take two tail T test
test statistic is in reject interval. Reject H₀
b) Claim
because critical value is not equal to test statistic then reject null hypothesis
Answer:
<em>x = 110° ; y = 49°</em>
Step-by-step explanation:
m∠ABD = m∠ADB = 35° ⇒ <em>x</em> = 180° - 2 × 35° = <em>110°</em>
m∠CDB = m∠CBD = 2y ⇒ <em>y</em> = (180° - 82°) ÷ 2 = <em>49°</em>
Answer:
a) The third quartile Q₃ = 56.45
b) Variance 
Step-by-step explanation:
Given that :
= 30.8
Median
= 48.5
Mean = 42
a) The mean is less than median; thus the expression showing the coefficient of skewness is given by the formula :




Divide both sides by 1.38

b) The objective here is to determine the approximate value of the variance;
Using the relation






Variance = 
