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3 years ago

Arrange the list of numbers in increasing order.. . 2/5, 4/9, 3/7

1 answer:

6 0

The numbers given in the question are 2/5, 4/9 and 3/7. We have to take them to decimal form for arranging the numbers in increasing order.
2/5 = 0.40
4/9 = 0.44
3/7 = 0.43
Then, the increasing order of the numbers would be
2/5 < 3/7 < 4/9
I hope the answer has helped you.

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For a standard normal distribution,Find P(-1.21 < Z< 2.26)

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Answer:

The range of z-score is given below as

$P(-1.21Using a graphing calculator, we will have the image be[tex]\begin{gathered} P(z$

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7 months ago

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1. ) 1 thru 9 are both natural numbers and whole numbers. 0 is a whole number, but not a natural number.

2.) 6...it is a natural number because it is a counting number and it is whole, it is a whole number and it is an integer as well. It is also rational because it can be turned into a fraction 6/1.

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2 years ago

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2 years ago

A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function

dexar [7]

Here's our equation.

$h=-16t+64t+3$

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

$0 = -16t+64t+3 \\ 16t-64t-3=0 \\ use\ the\ quadratic\ formula\ \frac{-b\±\sqrt{b^2-4ac}}{2a} \\ \frac{-(-64)\±\sqrt{(-64)^2-4(16)(-3)}}{2*16} = \frac{64\±\sqrt{4096+192}}{32}$

$= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}$

So the ball will return to the ground at the positive value of $\boxed{\frac{8+\sqrt{67}}{4}}$ seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

$\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2$

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3 years ago

A pizza chain plans to locate a new pizza franchise on the CCSU campus if the results of a survey show that more than 10% of CCS

kari74 [83]

Answer:

a) Null and alternative hypothesis:

$H_0: \pi=0.1\\\\H_a:\pi>0.1$

b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.

c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.

d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%

e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.

Step-by-step explanation:

a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.

Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.

On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.

This can be written as:

$H_0: \pi=0.1\\\\H_a:\pi>0.1$

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2 years ago