Solve for:-9a = 27
please someone help!!!

Answers

Answer 1

Answer:

Answer:

a = -3

:)))))))))))))))

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Laws have been instituted in Florida to help save the manatee. To establish the number of manatees in Florida, manatees were tagged. A new sample was taken later, and among the manatees in the sample, were tagged. Approximate the number of manatees in Florida. brainly

Answers

Answer:

It think this should be the complete question: Laws have been instituted in Florida to help save the manatee.To establish the number of manatees in Florida, 150 manatees were tagged. A new sample was taken later, and among the 40 manatees in the sample, 3 were tagged. Approximate the number of manatees in Florida.

The approximate number of manatees in Florida is 2,000

Step-by-step explanation:

To solve this problem, we will use the formula

N= (C*R)/M

Where N is the toal estimated population

C is the total first capture

R is the total recapture after the first

M is the total tagged from recapture

Thus, we have:

N = (150*40)/3

N = 6000/3

N= 2,000

So, the approximate manatee is $2000$ .

Ratio and Proportion:

Ratio and Proportion are explained majorly based on fractions. When a fraction is represented in the form of $a:b$ , then it is a ratio whereas a proportion states that two ratios are equal. Here, a and b are any two integers. The ratio and proportion are the two important concepts, and it is the foundation to understand the various concepts in mathematics as well as in science. the proportion is represented by,

$(a)/(b)=(c)/(d)$ .

Let us assume $x$ represents the unknown observed manatee, which is actually total manatees so the proportion is, $(40)/(3)=(x)/(150)$ .

Now, cross multiplying the given proportion as,

$3x=40* 150\nx=(40* 150)/(3) \nx=2000$

Learn more about the topic Proportion: brainly.com/question/24320792

Find the exact values of the numbers c that satisfy the conclusion of the Mean Value Theorem for the interval [−2, 2]. (Enter your answers as a comma-separated list.)

Answers

Answer:

The answer is " $\bold{c= \pm (2)/(√(3))}$ "

Step-by-step explanation:

If the function is:

$\to f'(x) = 3x^2-2 \n\n\to f'(c) = 3c^2-2$

points are:

$\to -2 \leq x \leq2$

use the mean value theorem:

$\to f'(c) = ( f(b)- f(a))/(b-a)$

$= ( f(2)- f(-2))/(2-(-2))\n\n= (4-(-4) )/(4)\n\n= (8)/(4)\n\n= 2$

$\to 3c^2-2=2 \n\n\to 3c^2=4 \n\n\to c^2=(4)/(3) \n\nc= \pm (2)/(√(3))$

Final answer:

The Mean Value Theorem states that for a continuous and differentiable function on a closed interval, there exists at least one 'c' within that interval where the average change rate equals the instantaneous rate at 'c'. In the given case of interval [-2,2], to find 'c', first calculate the average slope between the points (f(2)-f(-2))/4. Then equate this average slope to the derivative 'f'(c). The solution(s) to this equation are the c values for this problem.

Explanation:

The subject of this question pertains to the Mean Value Theorem in Calculus. According to this theorem, if a function f is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one number c in the open interval (a, b) such that the average rate of change over the interval equals the instantaneous rate of change at c.

In the given case, we're trying to find the 'c' value for the interval [-2,2]. First, we need to find the average slope between the two points. Assuming f is your function, that would be (f(2)-f(-2))/ (2 - -2). Subtract the function values of the two points and divide by the total interval length. Next, we need to see where this average slope equals the instantaneous slope 'f'(c), this entails solving the equation 'f'(c) = (f(2)-f(-2))/4. The solution to this equation will be the c values that satisfy the Mean value theorem within the provided interval.

Learn more about Mean Value Theorem here:

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Solve the equations
5x-8y=14
5x-7y=6

Answers

Answer:

In the explanation. :)

Step-by-step explanation:

{x,y}={2,3}

Hope this helps. Have a great day!

Answer:

x = -10, y = -8

Step-by-step explanation:

We will use the method of elimination to find y.

Step 1: 5x - 8y = 14

5x - 7y = 6

Step 2: 0x - y = 8

Step 3: y = -8

Now, we have to substitute the y value into one of the original equations. In this case we will use the first equation which is 5x - 8y = 14.

5x - 8(-8) = 14

5x + 64 = 14

5x = - 50

x = -10

Just to make sure we have the right values, we will substitute both values into one of the equations.

5(-10) - 7(-8) = 6

-50 + 56 = 6

6 = 6 True

5(-10) - 8(-8) = 14

-50 + 64 = 14

14 = 14 True

Both of these values work, so they are the answers.

Hope this helps!

The mean life of a television set is 119 months with a standard deviation of 13 months. If a sample of 67 televisions is randomly selected, what is the probability that the sample mean would differ from the true mean by less than 2 months? Round your answer to four decimal places.

Answers

The probability that the sample mean would differ from the true mean by less than 2 months is 0.7923.

n=67μ=119σ=13

The probability that the sample mean would differ from the true mean by less than 2 months.

$P(|X-u| < 2)=P(((119-2)-119)/(13/√(67) ) < \frac{X-u}{sigma/{√(n) } } < ((119+2)-119)/(13/√(67) ) )$

$=P((-2)/(0.6247) < Z < (2)/(0.6247) )$

$=P(-1.26 < Z < 1.26)$

$=P(Z < 1.26)-P(Z < -1.26)$

$=(0.896165-0.103835)=0.792331=0.7923$

Hence, the answer is 0.7923

What is probability explain?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it

What are the basic concepts of probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

How do you calculate probability?

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

To learn more about probability, refer

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Answer:

Provided in the picture below.

Step-by-step explanation:

Provided in the picture below.

Choose the correct algebraic expression for each phrase 13 times the cost of one ticketPLS HELP IF U KNOW THE ANSWER
t÷13
t-13
13+t
13t

Answers

Answer:

13t

Step-by-step explanation:

Answer: 13t
You multiply 13 by the cost of a ticket

If f(x) = -1/x, then f'(x) = 1/x^2. Theorem seems to suggest that the integral from -1 to 1 of 1/x^2 dx would equal f(1) - f(-1) = -1 -1 = -2. But 1/x^2 is a positive function and so its integral over [-1,1] should be positive. What is wrong here?