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zhannawk [14.2K]
3 years ago
9

Jake has three different colored pens in his book bag: blue, green and purple. The probability of randomly choosing a blue pen f

rom Jake’s book bag is 60%. The probability of randomly choosing a green pen from Jake’s book bag is 0.10. The probability of drawing a purple pen is 3/10. Determine how likely it is, in relation to 0, for Jake's to randomly choose a red pen from his book bag?
Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0

Answer:

the Pearson above me is right

Step-by-step explanation:

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Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each co
Karolina [17]

Hello There!

<u><em>n - d = 0</em></u>

<u><em>5n+10d = 90</em></u>

<u><em>----------------------</em></u>

<u><em>n-d = 0</em></u>

<u><em>n+2d = 18</em></u>

<u><em>-------------------</em></u>

<u><em>Subtract and solve for "d":</em></u>

<u><em>3d = 18</em></u>

<u><em>d = 6 (# of dimes)</em></u>

<u><em>n = d = 6 (# of nickels)</em></u>

8 0
3 years ago
A county's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponential
aliina [53]
Let t=number of years since 1991.
Then 
P(t)=147 e^(kt)   ... in millions
P(0)=147 e^(0)=147
P(7)=147 e^(7k)=153
e^(7k)=(153/147)
take ln both sides
ln(e^(7k))=ln(153/147)
7k=0.0400 => k=0.005715

Year 2017=>t=2017-1991=26
P(26)=147e^(26*.005715)=170.55
Answer: in 2017, the projected population is 170.55 millions.
6 0
3 years ago
A farmer plans to fence a rectangular pasture adjacent to a river the pasture must contain 405,000 square meters
jeyben [28]

The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.

Then according to the problem:

2x + y = P ..(1)

P is the perimeter of the rectangle.

xy = 405000  (area of the rectangle)

Plug the value of y in the equation (1) from the above equation.

P(x) = 2x + 405000/x

P'(x) = x—405000/x² = 0

x = 450 m

P''(x) > 0 hence at x = 450 the value of P(x) is minimum.

y = 405000/450

y = 900 m

P(min) = 1800 m

Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ4

7 0
2 years ago
Please help i need to pass
kotykmax [81]

la neta lo a mirado pero se me olvido if I'm right I think it' c

4 0
3 years ago
Find f(-2) for f(x) = 2(4)^x<br><br> O A.1/16<br> O B.1/8<br> O C. -16<br> OD. - 32
scoray [572]

Answer:

B. 1/8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle f(x) = 2(4)^x\\f(-2) \ is \ x = -2<u />

<u />

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    \displaystyle f(-2) = 2(4)^{-2}
  2. Exponents:                          \displaystyle f(-2) = 2(\frac{1}{16})
  3. Multiply:                               \displaystyle f(-2) = \frac{1}{8}
5 0
2 years ago
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