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3 years ago

Suppose a population of deer in the state is 10, 289 and is growing 1% each year. Predict the population after 5 years

Mathematics

1 answer:

eimsori [14]3 years ago

3 0

Answer: the population after 5 years is 10814

Step-by-step explanation:

The population growth of the deer is exponential. We would apply the formula for determining exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

n represents the period of growth

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 10289

r = 1% = 1/100 = 0.01,

t = 5 years

Therefore,

A = 10289(1 + 0.01)^5

A = 10289(1.01)^5

A = 10814

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One teacher wants to give each student 35 of a slice of pizza. If the teacher has 6 slices of pizza, then how many students will

lukranit [14]

Answer:

Total ten students can feed on 6 slices of pizza with each student getting $\frac{3}{5}$ of a pizza slice

Step-by-step explanation:

Given-

Teacher wished to give $\frac{3}{5}$ of a pizza slice to each student

This means that each student will get only $\frac{3}{5} *$ one slice of pizza

Now the total number of slices of pizza $= 6$

Thus,

$\frac{3}{5}$ of a pizza slice to each student $*$ total number of students $= 6$

Rearranging the above equation, we get -

$\frac{3}{5} * 1 * X = 6$

Where X is the number of students

$X = \frac{6}{\frac{3}{5} } \\X = \frac{5}{3} * 6\\X = 10$

Total ten students can feed on 6 slices of pizza with each student getting $\frac{3}{5}$ of a pizza slice

8 0

3 years ago

The product of 4 and the sum of 7 and a number

lina2011 [118]

The product of 4 and the sum of 7 and a number.

Meaning:

4 ( 7 + n )

4 0

2 years ago

Read 2 more answers

Please help me with this pleaseee

torisob [31]

Answer:

x = 88.2

Step-by-step explanation:

The angle at the top of the triangle = 90° - 10° = 80°

and the left side of the triangle is x ( opposite sides of a rectangle )

Using the tangent ratio in the right triangle

tan80° = $\frac{opposite}{adjacent}$ = $\frac{500}{x}$

Multiply both sides by x

x × tan80° = 500 ( divide both sides by tan80° )

x = $\frac{500}{tan80}$ ≈ 88.2

5 0

2 years ago

A random sample of 100 observations from a quantitative population produced a sample mean of 22.8 and a sample standard deviatio

natima [27]

Answer:

We conclude that the population mean is 24.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, $\bar{x}$ = 22.8

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 8.3

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 24\\H_A: \mu \neq 24$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{22.8 - 24}{\frac{8.3}{\sqrt{100}} } = -1.44$

We calculate the p-value with the help of standard z table.

P-value = 0.1498

Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.

7 0

2 years ago

The sum of the measures of the angles of a triangle is 180 degrees. angels A,B,C has ratios of 3:5:7. What are their measures ?

Igoryamba

Answer:

36:60:84

A : B : C

36° : 60° : 84°

A= 36°

B= 60°

C=84°

Step-by-step explanation:

3:5:7 =15

180÷15=12

3×12=36

36:x:y =180

5×12=60

36:60:y =180

7×12=84

36:60:84 =180

4 0

1 year ago

Read 2 more answers