the expression below gives the cost of green beans(x) and cucumbers (y). what is the cause of 6 bunches of green beans and 4 cuc
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Answer:
We conclude that less than or equal to 90% of all orders are mailed within 72 hours after they are received which means the company's claim is not true.
Step-by-step explanation:
We are given that the company claims that more than 90% of all orders are mailed within 72 hours after they are received. The quality control department at the company often takes samples to check if this claim is valid.
A recently taken sample of 175 orders showed that 161 of them were mailed within 72 hours.
<u><em>Let p = percentage of all orders that are mailed within 72 hours.</em></u>
SO, Null Hypothesis, : p
90% {means that less than or equal to 90% of all orders are mailed within 72 hours after they are received}
Alternate Hypothesis, : p > 90% {means that more than 90% of all orders are mailed within 72 hours after they are received}
The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;
T.S. = ~ N(0,1)
where, = proportion of orders that were mailed within 72 hours in a sample of 175 =
= 92%
n = sample of orders = 175
So, <u><em>test statistics</em></u> =
= 0.975
The value of the test statistics is 0.975.
<em>Now at 1% significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is less than the critical value of z as 0.975 < 2.3263, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><em><u>we fail to reject our null hypothesis</u></em><em>.</em>
Therefore, we conclude that less than or equal to 90% of all orders are mailed within 72 hours after they are received which means the company's claim is not true.
Answer: Cylinder uses less material to make.
Box holds more soup then cylinder.
Step-by-step explanation:
Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height
Total surface area of cylinder = where r= radius and h is height.
Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm
Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.
Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm
= 2(1209.65)
=2419.3 sq. cm
Total surface area of cylinder =
<em>[π=3.14]</em>
(Total surface area of cylinder)<(Total surface area of box )
So, cylinder uses less material to make.
Volume of box = l x w x h
= (7.5)(4.7)(14.5) = 511.13 cubic cm
Volume of cylinder =
= 341.946 cubic cm
As (Volume of box) > (Volume of cylinder )
So, Box holds more soup then cylinder.