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soldier1979 [14.2K]
2 years ago
12

A population of bees is decreasing. The population in a particular region this year is 1250. After year 1, it is estimated that

the population will be 1000. After 2 years, it is estimated that the population will be 800.
How many years will it take for the bee population to be below 100?
Mathematics
1 answer:
butalik [34]2 years ago
7 0

Answer:

5 years

Step-by-step explanation:

1250 => 250 1000 => 300 800 => 350 450. => 400 50.

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In a sample of 700 gas​ stations, the mean price for regular gasoline at the pump was $2.894 per gallon and the standard deviati
frez [133]

Answer:

P(x < 2.892) = 4.36\%

Step-by-step explanation:

Given

N = 700 --- Population

\mu = 2.894 -- Mean

\sigma = 0.009 --- Standard deviation

n = 55 -- Sample

Required: P(x < 2.892)

This question will be solved using the finite correction factor

First, calculated the z score

z = \frac{x - \mu}{\sqrt{\frac{N -n}{N -1}} * \frac{\sigma}{\sqrt n}}

z = \frac{2.892 - 2.894}{\sqrt{\frac{700 -55}{700 -1}} * \frac{0.009}{\sqrt {55}}}

z = \frac{-0.002}{\sqrt{\frac{645}{699}} * \frac{0.009}{7.42}}

z = \frac{-0.002}{\sqrt{0.92} * \frac{0.009}{7.42}}

z = \frac{-0.002}{0.95917 * 0.0012129}

z = -1.71

So:

P(x < 2.892) = P(z < -1.71)

Using z table

P(x < 2.892) = 0.043633

P(x < 2.892) = 4.36\%

3 0
3 years ago
The minimum score on the SAT test is 600 and the maximum score is 2400. Write an absolute value equation that represents the min
Inessa [10]
X greater than/equal to 600 and X less than/equal to 2400
6 0
3 years ago
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A 6 pound bag of oranges cost 6.78 What is the unit price?
oksano4ka [1.4K]

Answer:

$1.13

Step-by-step explanation:

Since 6 pound bag of oranges costs $6.78...

\frac{6.78}{6}

Now, let's divide 6.78 in to 6 to find our unit price.

\frac{1.13}{1}

Now we know 1 pound, (our unit price), costs...

$1.13

5 0
3 years ago
The cost, C, in millions of dollars of producing T million tons of steel is modeled by the equation C = 220T + 1890.
kobusy [5.1K]

C = 220T + 1890.

Solve the equation for T.

220T = C - 1890

T = C/220 - 8.6

The steel produced is expected to be sold at a price of $310 per ton.

310 $/ton is a rate or slope. Write a linear equation where x is tons of steel produced and y is selling price of the steel.

y = 310x

Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.

* Here, note that the cost of production and tons of steel in the first equation is in the millions.  The equation we just wrote for the selling price was in x tons of steel. This only matters in regards to the units you specify because; million/million = 1

The unit multiplier of all variables must be specified as same. Either everything is in millions or not.

Here, I'll leave everything in millions, change x (tons of steel) to T (mill tons steel) and "y" to "S" in million dollars selling price.

S = 310T

Set equal to Cost equation.

220T + 1980 = 310T

Solve for T, million tons of steel produced.

1980 = 310T - 220T

1980 = 90T

T = 1980/90

T = 22 million tons steel produced


7 0
3 years ago
What is the distance between point A(−1, 3) and point B(−8, 3) ?
balu736 [363]

Answer:

7 units

Step-by-step explanation:

6 0
3 years ago
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