• WxL (width multiplied by length)!l
• creating a two right angled triangles, finding the area through the Pythagoras theorem for both triangles and then add both areas together
6 more than the difference of b and five
1 answer:
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• WxL (width multiplied by length)!l
• creating a two right angled triangles, finding the area through the Pythagoras theorem for both triangles and then add both areas together
Answer:
1). Number of kids on the other side = 16
2). Brian took the time to each piece of pie = 20 seconds
Step-by-step explanation:
1). Let the number of kids on one side = x
Then the number of kids on other side = 2x
3 adults helped the side having number of kids = x, then the number of people on this side = x + 3
Since the total number of people on this side = 11
Then the equation will be,
x + 3 = 11
x = 11 - 3
x = 8
Then number of kids on the other side = 2x = 2×8
= 16
2). By unitary method,
∵ Brian took the time to eat 6 pieces of the pie = 2 minutes
∴ Brian will take time to eat 1 piece of pie = minutes
= seconds
= 20 seconds
Answer:
1. Yes, the sample data provides convincing evidence to support the claim that the proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0.37
2. The correct hypotheses are;
The null hypothesis is H₀: p ≥ p₀
The alternative hypothesis is Hₐ: p < p₀
Step-by-step explanation:
given
The null hypothesis is H₀: p ≥ p₀ where p₀ = 0.37
The alternative hypothesis is Hₐ: p < p₀
The formula for the z test is presented as follows;
Where:
= Sample proportion = 206/780 = 0.264
p₀ = Population proportion = 0.37
n = Sample size = 780
α = Significance level = 10% = 0.01
Plugging in the values, we have;
From the the z relation/computation, we have the p value = 0.000000000451
Since the p value which is 0.000000000451 is less than α, which is 0.01 we reject the null hypothesis and we fail to reject the alternative hypothesis, that is there is sufficient statistical evidence to suggest that the proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0.37.