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mezya [45]
1 year ago
10

A farming community begins with one resident. Then every year, the number of residents multiplies by 10. Write an expression usi

ng an exponent to represent the number of residents in the community after 5 years.
Mathematics
1 answer:
yan [13]1 year ago
7 0

Answer:

1*10^5

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To control pollination, pollen-producing flowers are often removed from the top of corn in a process called detasseling. The hou
____ [38]

Answer: <u>Last option</u>

Z_ {13} = 0.5,\ Z_ {17} = 2.5

Step-by-step explanation:

The z-scores give us information about how many standard deviations from the mean the data are. This difference can be negative, if the data are n deviations to the left of the mean, or it can be positive if the data are n deviations to the right of the mean.

To calculate the Z scores, we calculate the difference between the value of the data and the mean and then divide this difference by the standard deviation.

so  

Z = \frac{x- \mu}{\sigma}.

Where x is the value of the data, μ is the mean and σ is the standard deviation

In this case :

μ = 12 $/h

\sigma = 2 $/h

We need to calculate the Z-scores for x = 17 and x = 13

Then for x = 17:

Z_{17} = \frac{17-12}{2}.

Z_{17} = 2.5

Then for x = 13:

Z_{13} = \frac{13-12}{2}.

Z_{13} = 0.5

Therefore the answer is:

Z_ {13} = 0.5,\ Z_ {17} = 2.5

8 0
2 years ago
Read 2 more answers
Consider sampling heights from the population of all female college soccer players in the United States. Assume the mean height
BARSIC [14]

Answer:

B) .35

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem:

\sigma = 3.5, n = 100

Then

s = \frac{\sigma}{\sqrt{n}}

s = \frac{3.5}{\sqrt{100}}

s = 0.35

So the correct answer is:

B) .35

7 0
2 years ago
A company produces canned tomatoes. They want the height h of each can to be twice the diameter d. Enter an equation for the sur
lutik1710 [3]

Answer:

The equation is:

(2×π×r×4r)+(2×π×r^2)= A

The maximum radius of the can they will produce = 1.7 inches

Step-by-step explanation:

Please see the attached files for explanation

5 0
2 years ago
Describe any domain restrictions that make sense for each of these scenarios: The price of a stock fluctuates several times thro
mrs_skeptik [129]

Answer:

  • a) Restriction: days of the year (a discrete time)

  • b) The time the ball is on the air: t = 0, until the balls touchs the ground (any real value from t = 0 to t when the ball hits the ground)

  • c) Any positive real value: x ≥ 0

Explanation:

The <em>domain </em>is the set of elements that can be inputs of the <em>function</em>.

<u><em>1. The price of a stock fluctuates several times throughout the year as a function of time.</em></u>

The input variable is the time through out the year.

If you assume that the fluctuaion is recorded once a day, and not every second, the logical assumption is that the time is a day of the year.

Thus, the restricion is the days of the year.

You could represent them in different forms, like DD/MM/YY, or even as a number from 1 to 365 if it covers just one year.

<u><em></em></u>

<u><em>2. A ball is hit into the air by a baseball player, rises until it reaches its highest point, and then falls into left field.</em></u>

The domain is the time the ball is on the air, which may be any real value from t = 0, until the balls touchs the ground.

It is not restricted to integer numbers.

<u><em>3. The volume of a spherical balloon increases as the balloon is blown up and decreases as air is let out of it.</em></u>

The inputs of the function are amounts of air, which may be measured as number of moles.

The number of moles can be any real value equal or greater than zero.

Thus, the domain is the positive real values x ≥ 0.

8 0
2 years ago
Read 2 more answers
The distance d (in miles) that you can see to the horizon with your eye level h feet above the water is given by d=3h2−−−√. You
liubo4ka [24]

Answer: He cannot see a ship that is 4.5 miles away.

Step-by-step explanation:

Since we have given that

d=3\sqrt{h}

Here, h is the eye level above the water

d is the distance away.

If h = 12 feet

We will get :

d=3\sqrt{12}\\\\d=3\times 2\sqrt{3}\\\\d=6\sqrt{3}\\\\d=10.39

Hence, it is 10.39 feet away when eye level is 12 feet above the water.

Therefore , he cannot see a ship that is 4.5 miles away.

7 0
2 years ago
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