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2 years ago

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H(t)=(t+3)

1 answer:

olga2289 [7]2 years ago

4 0

Answer:

Step-by-step explanation:

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Nitrogen and oxygen are the most abundant gases in Earth’s atmosphere. A nitrogen molecule is 0.00000000003 meters larger than a

kozerog [31]

Answer:

The exponent is negative

The exponent represents the number of places the decimal moves

The decimal moves to the right

Step-by-step explanation:

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2 years ago

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Drew creates a table of ordered pairs representing the width and area of a dog pen. Which situation could describe Drew’s plans

Feliz [49]

Answer:

the answer is A :)

Step-by-step explanation:

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2 years ago

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The mean weight of newborn infants at a community hospital is 6.6 pounds. A sample of seven infants is randomly selected and the

Lera25 [3.4K]

Answer:

The correct option is A

Step-by-step explanation:

From the question we are told that

The population is $\mu = 6.6$

The level of significance is $\alpha = 5\% = 0.05$

The sample data is 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds

The Null hypothesis is $H_o : \mu = 6.6$

The Alternative hypothesis is $H_a : \mu > 6.6$

The critical value of the level of significance obtained from the normal distribution table is

$Z_{\alpha } = Z_{0.05 } = 1.645$

Generally the sample mean is mathematically evaluated as

$\=x = \frac{\sum x_i }{n}$

substituting values

$\=x = \frac{9.0 + 7.3 + 6.0+ 8.8+ 6.8+ 8.4+6.6 }{7}$

$\=x = 7.5571$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{\frac{\sum [ x - \= x ]}{n} }$

substituting values

$\sigma = \sqrt{\frac{ [ 9.0-7.5571]^2 + [7.3 -7.5571]^2 + [6.0-7.5571]^2 + [8.8- 7.5571]^2 + [6.8- 7.5571]^2 + [8.4 - 7.5571]^2+ [6.6- 7.5571]^2 }{7} }$ $\sigma = 1.1774$

Generally the test statistic is mathematically evaluated as

$t = \frac{\= x - \mu } { \frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{7.5571 - 6.6 } { \frac{1.1774 }{\sqrt{7} } }$

$t = 1.4274$

Looking at the value of t and $Z_{\alpha }$ we see that $t < Z_{\alpha }$ hence we fail to reject the null hypothesis

What this implies is that there is no sufficient evidence to state that the sample data show as significant increase in the average birth rate

The conclusion is that the mean is $\mu = 6.6 \ lb$

8 0

2 years ago

An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille

steposvetlana [31]

Answer:

The volume of the water in the pool is 1,017 cubic feet

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$r=18/2=9\ ft$ ----> the radius is half the diameter

Remember that

$1\ ft=12\ in$

so

$6\ in=6/12=0.5\ ft$

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

$h=4.5-0.5=4\ ft$

assume

$\pi =3.14$

Find the volume of the water

$V=(3.14)(9^{2})(4)$

$V=1,017\ ft^3$

5 0

2 years ago

You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surroun

gtnhenbr [62]

Part 1 : A=1/2 ap P= 2A/a = 1000/10 = 100 ft.
Part 2 : (100 ft.)($7.95/ft) = $795
I'm not sure for part 3.

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2 years ago

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