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umka21 [38]
2 years ago
8

The table shows the population of a small town over time. The function P = 10,550(1.1)x models the population x years after the

year 2000.
A 2-column table with 5 rows. The first column is labeled years after 2000, x with entries 0, 3, 4, 7, 10. The second column is labeled population, P with entries 10,5000; 14,000; 15,500; 20,500; 27,000.
For which year would this model most likely be sufficient to make a prediction of the population?

1950
2005
2025
2050
Mathematics
1 answer:
Darya [45]2 years ago
8 0
2025 or (c) is ur answer
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A water molecule is made up of three Adams. 1/3 of the atoms are oxygen and the remaining Adams are hydrogen. If there are 114 w
motikmotik

The number of hydrogen atoms are 304

<em><u>Solution:</u></em>

Given that a water molecule is made up of three atoms

Number of atoms in water molecule = 3 atoms

1/3 of the atoms are oxygen and the remaining Adams are hydrogen

Number\ of\ oxygen\ atoms = \frac{1}{3}\\\\Number\ of\ hydrogen\ atoms = 3 - \frac{1}{3} = \frac{8}{3}

There are 114 water molecules

8/3 of water molecule is hydrogen

<em><u>Therefore, number of hydrogen atoms is given as:</u></em>

Number\ of\ hydrogen\ atoms = \frac{8}{3} \times 114\\\\Number\ of\ hydrogen\ atoms = 8 \times 38\\\\Number\ of\ hydrogen\ atoms = 304

Thus number of hydrogen atoms are 304

7 0
3 years ago
An elevator has a placard stating that the maximum capacity is 1296 lb long dash — 8 passengers.​ So, 8 adult male passengers ca
Masja [62]

Answer:

There is a 98.26% probability that it is overloaded.

This elevator does not appear to be safe.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

Assume that weights of males are normally distributed with a mean of 170 lb, so \mu = 170

They have a standard deviation of standard deviation of 29 lb, so \sigma = 29.

We have a sample of 8 adults, so we have to find the standard deviation of the sample to use in the place of \sigma in the Z score formula.

s = \frac{\sigma}{8} = \frac{29}{8} = 3.625

Find the probability that it is overloaded because they have a mean weight greater than 162 lb, so X = 162

Z = \frac{X - \mu}{\sigma}

Z = \frac{162 - 170}{3.625}

Z = -2.21

Z = -2.21 has a pvalue 0.0174.

So, there is a 1-0.0174 = 0.9826 = 98.26% probability that it is overloaded.

Any probability that is above 95% is considerer unusually high. So, this elevator does not appear to be safe, since there is a 98.26% probability that it is overloaded.

8 0
3 years ago
CAN ANYONE DO IT PLZ.
docker41 [41]

<u>Answer: </u>120

Since there is the 100 in the triangle, the other two sides in the triangle are equal to each other. So they are both 40

So 180 - 40 = 120

6 0
2 years ago
Read 2 more answers
Write a function in terms of t that represents the situation.
Nina [5.8K]
S(t) = S0·(1 + rate)t<span>S(t) = salary at year t
<span>S0 = starting salary = $35,000
</span>rate = 4% = 0.04
<span>t = years</span></span>
6 0
3 years ago
Read 2 more answers
Find the x-intercepts, use the zero product property, r(r+7)=0
UkoKoshka [18]

9514 1404 393

Answer:

  r = 0

  r = -7

Step-by-step explanation:

There is no x in the equation, hence there are no x-intercepts.

__

If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.

The factors are r and (r+7).

The factor r is zero when ...

  r = 0

The factor (r+7) is zero when ...

  r +7 = 0   ⇒   r = -7

The "x-intercepts" are r=0 and r=-7.

4 0
2 years ago
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