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3 years ago

In a right triangle , one angle measure 90 and the other two angles measure a total of

Mathematics

1 answer:

shepuryov [24]3 years ago

6 0

Both of the other angles should be 45. 180-90=90. 90 divided by 2 equals 45

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You are researching the penguin population in the Falkland Islands. There are 1000 penguins in the beginning of the first year:

kolbaska11 [484]

Answer:

The formula to determine the population of penguins at the end of the 7th year is:

$P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275$

Step-by-step explanation:

With this information, we know that the initial population at end of year 0 is 1000 penguins.

The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.

We can then model the population for the end of year 1 as:

$P_1=P_0+0.5P_0-0.2P_0=1.3P_0$

As this dynamic will continue with the years, we can generalize as:

$P_2=1.3P_1=1.3\cdot (1.3P_0)=1.3^2P_0\\\\P_n=1.3^nP_0$

Then, the value of the population at the end of the 7th year should be:

$P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275$

8 0

3 years ago

The effectiveness of a blood-pressure drug is being investigated. an experimenter finds that, on average, the reduction in systo

Blizzard [7]

Using the z-distribution, the estimate for how much the drug will lower a typical patient's systolic blood pressure is:

$46.6 \leq \mu \leq 48$

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 80% confidence level, hence $\alpha = 0.8$ , z is the value of Z that has a p-value of $\frac{1+0.8}{2} = 0.9$ , so the critical value is z = 1.28.

The other parameters are given by:

$\overline{x} = 47.3, \sigma = 15.9, n = 878$

Then the bounds of the interval are:

$\overline{x} - z\frac{\sigma}{\sqrt{n}} = 47.3 - 1.28\frac{15.9}{\sqrt{878}} = 46.6$

$\overline{x} + z\frac{\sigma}{\sqrt{n}} = 47.3 + 1.28\frac{15.9}{\sqrt{878}} = 48$

Hence the interval is:

$46.6 \leq \mu \leq 48$

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

7 0

2 years ago

At the beginning of the day, the sum of the stocks in the Dow Jones was

12345 [234]

Answer:

- 1.15585%

Step-by-step explanation:

Given that:

Sum of stock at beginning = $10,335.24

Sum of stock at the end of the day = $10,215.78

Rate of change of the Down Jones on that day :

The change in price on the day:

Ending - Beginning

10,215.78 - 10,335.24 = −119.46

The rate if change is thus ;

(Change in price / beginning stock price) * 100%

(-119.46 / 10,335.24) * 100%

-0.0115585 * 100%

- 1.15585%

8 0

3 years ago

Read 2 more answers

Expand and simplify 3(x+2)+2(x-1)

Fittoniya [83]

3(x + 2) + 2(x - 1)
3(x) + 3(2) + 2(x) - 2(1)
3x + 6 + 2x - 2
3x + 2x + 6 - 2
5x + 4

7 0

3 years ago

36 is 0.8% of what number?

katovenus [111]

36 = 0.8% 36/8=4.5 4.5•10=45 45•10=450 your answer is 450

6 0

3 years ago