A farmers field has the dimensions shown. He needs to find the area of the field so that he knows how much he needs to buy .What
1 answer:
Answer:
Area of the rectangular Field = 3 8/9 km²
Step-by-step explanation:
Length of the field = 2 1/3 km
Width of the field = 1 2/3 km
Area of a rectangular Field = length × width
= 2 1/3 × 1 2/3
= 7/3 × 5/3
= (7*5)/(3*3)
= 35/9
Area of the rectangular Field = 3 8/9 km²
Perimeter of the rectangular Field = 2(length + width)
= 2(2 1/3 + 1 2/3)
= 2(7/3 + 5/3)
= 2(7+5/3)
= 2(12/3)
=2(4)
= 8 km
Perimeter of the rectangular Field = 8 km
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The given question is incomplete. The complete question is:
A farmer sells 9.9 kg of pears and apples at the farmers market. 3/4 of this weight is pears,and the rest is apples.how many kilograms of apples did she sell at the farmers market.
Answer: The farmer sells 2.475 kg of apples.
Step-by-step explanation:
Given : Total weight of pears and apples = 9.9 Kg
of the total weight is pears
Hence, weight of pears =
Therefore weight of apples = Total weight - weight of pears = (9.9 -7.425) = 2.475 Kg
Answer:
We conclude that young women are delaying marriage and marrying at a later age.
Step-by-step explanation:
We are given that the average age of brides marrying for the first time is 23.9 years with a population standard deviation of 4.2 years.
The sociologist randomly samples 100 marriage records and determines the average age of the first time brides is 24.9 years.
Let = <u><em>average age of brides marrying for the first time.</em></u>
So, Null Hypothesis, :
= 23.9 years {means that young women are not delaying marriage and marrying at a later age}
Alternate Hypothesis, :
> 23.9 years {means that young women are delaying marriage and marrying at a later age}
The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;
T.S. = ~ N(0,1)
where, = sample average age of the first time brides = 24.9 years
= population standard deviation = 4.2 years
n = sample of marriage records = 100
So, <u><em>the test statistics</em></u> =
= 2.381
The value of z test statistics is 2.381.
<u>Now, at 1% significance level the z table gives critical value of and 2.326 for right-tailed test.</u>
Since our test statistic is more than the critical value of z as 2.381 > 2.326, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.
Therefore, we conclude that young women are delaying marriage and marrying at a later age.