Plz help with this question can you answer both.

Mathematics

1 answer:

Arlecino [84]4 years ago

4 0

9a. The answer is 1.07% because the function shows an exponential growth in the exponential function.

9b. The first population was about 2622 because it shows that the first year is the domain to find the range of the function when x is equal to 1.

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A normal random variable with mean and standard deviationboth equal to 10 degrees Celsius. What is the probability that the temp

Korvikt [17]

Answer:

0.57142

Step-by-step explanation:

A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

We are told that the Mean and Standard deviation = 10°C

We convert to Fahrenheit

(10°C × 9/5) + 32 = 50°F

Hence, we solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 59 °F

μ is the population mean = 50 °F

σ is the population standard deviation = 50 °F

z = 59 - 50/50

z = 0.18

Probability value from Z-Table:

P(x ≤59) = 0.57142

The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit

is 0.57142

4 0

3 years ago

Solve the equations below exactly. Give your answers in radians, and find all

kotegsom [21]

Answer:

See below (along with unit circle attached)

Step-by-step explanation:

$sin(t)=-\frac{\sqrt{3}}{2}$

$t=\frac{4\pi}{3},\frac{5\pi}{3}$

$cos(t)=\frac{1}{2}$

$t=\frac{\pi}{3},\frac{5\pi}{3}$

It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by $(cos(\theta),sin(\theta))$ where $\theta$ is measured in radians.