MATHEMATICS COLLEGE

A set of data whose histogram is extremely skewed yields a sample mean and standard deviation of 69.5 and 10.75, respectively. What is the minimum percentage of observations that:A. are between 48 and 91.

and

B. are between 37.25 and 101.75

Answers

Answer 1
Answer: I am a beautiful person who can help you with the new one of those who are interested

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Consider a colony of E.Coli bacteria that is growing exponentially. A microbiologist finds that, initially, 1,000 bacteria are present and 50 minutes later there are 10,000 bacteria. a) Find expression for the number of bacteria Q(t) after t minutes. b) When will there be 1,000,000 bacteria?

Answers

Answer:

a)Q(t)=Q_(0)e^((ln10/50)t)

b) 150min

Step-by-step explanation:

a) Using the formula for colony growth Q(t)=Q_(0)e^(kt) we need to find the specific value of k, to do this you'll use the time, initial and final number of colonies provided in your problem.

Q(t)=Q_(0)e^(kt)\n\n10000=1000e^(k(50)) \n\n(10000)/(1000)=e^(50k) \n\n10=e^(50k)\n ln(10=e^(50k))\n\nln10=50k\n\nk=ln10/50\n\nQ(t)=Q_(0)e^((ln10/50)t)\n\n

b) Once we have our expression we only have to use our final and initial number of bacteria to find t.

Q(t)=Q_(0)e^((ln10/50)t)\n\n\n1000000=1000e^(0.046t)\n 1000=e^(0.046t)\nln( 1000=e^(0.046t))\nln1000=0.046t\nt=ln1000/0.046\nt=150 minutes

I hope you find this information useful! good luck!

Find the zeros of the function
k(x) = -5x² - 125
The zeros of k are x= □ and x= □​

Answers

Answer:

x = ±5i

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

Alg II

  • √-1 is imaginary number i

Step-by-step explanation:

Step 1: Define function

k(x) = -5x² - 125

Step 2: Find roots

  1. Set function equal to 0:                    0 = -5x² - 125
  2. Factor out -5:                                     0 = -5(x² + 25)
  3. Divide both sides by -5:                    0 = x² + 25
  4. Subtract 25 on both sides:               -25 = x²
  5. Rewrite:                                              x² = -25
  6. Square root both sides:                     x = ±√-25
  7. Rewrite:                                              x = √-1 · ±√25
  8. Evaluate:                                             x = ±5i

What's the inverse operation of division? A. Multiplication
B. All mathematical operations
C. Subtraction
D. Division has no inverse operation.

Answers

The answer to your question is,

A. Multiplication

-Mabel <3

The inverse operationof division is multiplication.

Hope this helps you

Brainliest would be appreciated!

- AaronWiseIsBae

Find the value of the variable.
66

32

29

43

Answers

Answer:

The correct answer is x = 32.

Step-by-step explanation:

To solve this problem, we must remember the concept of supplementary angles.  Two angles that are supplementary together make an angle of 180 degrees (a straight line).

In this case, we can see that inside the triangle, we will have an angle of 80 degrees.  We know this because the angle at the top of the triangle is supplementary with the angle measuring 100 degrees, so its measure should be 180-100 = 80 degrees.

On the lower right hand of the triangle, a similar rationale can be applied.  The angle inside of the triangle must measure 68 degrees, since it is supplementary to an angle measuring 112 degrees, and 180-112=68.

Finally, to solve this problem, we must remember that the sum of the three interior angles of a triangle should be 180 degrees.  This lets us set up the following equation:

80+68+x = 180

Now, we can solve this equation. Our first step is to simplify the left side of the equation by adding together the constant terms.

148 + x = 180

Next, we should subtract 148 from both sides of the equation.

x = 180-148

x = 32

Therefore, the correct answer is x = 32 degrees.

Hope this helps!  

WHAT IS THE SLOPE OF THE LINE6X + 3Y = 18?
Can anyone actually help me work it out please

Answers

Answer:

6x + 3y = 18 \n \n y = - 2x + 6 \n \n x = 3

3y=6x=18 the equation must look like this y=mx+b where m is the slope in this case it is 2 and b is the y-intercept 18 hope it helps

just divide every term by 3 to isolate y

GraceRosalia

If the distance from C to C’ is 8 and the scale factor is 5. What is the distance from A to C? A. 8/5
B. 5/8
C. 10
D. 2

Answers

Answer : B

Explanation:
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