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Oksanka [162]
3 years ago
15

A cookie jar contains 6 chocolate chip cookies, 4 oatmeal cookies, 8 peanut butter cookies, and 2 sugar cookies. If a cookie is

pulled
from the jar what is the probability that it is oatmeal or peanut butter?
Mathematics
1 answer:
Elan Coil [88]3 years ago
7 0

Answer:

12 out of 20

Step-by-step explanation:

You might be interested in
Just number 9 would be fine please but also if you could number 10 would help​
topjm [15]

Answer:

9. a = -7

10. x = 1

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

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

a + 6a - 14 = 3a + 6a

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Combine like terms:                    7a - 14 = 9a
  2. Subtract 7a on both sides:          -14 = 2a
  3. Divide 2 on both sides:               -7 = a
  4. Rewrite:                                         a = -7

<u>Step 3: Check</u>

<em>Plug in a into the original equation to verify it's a solution.</em>

  1. Substitute in <em>a</em>:                   -7 + 6(-7) - 14 = 3(-7) + 6(-7)
  2. Multiply:                              -7 - 42 - 14 = -21 - 42
  3. Subtract:                             -49 - 14 = -63
  4. Subtract:                             -63 = -63

Here we see that -63 is equal to -63.

∴ a = -7 is a solution of the equation.

<u>Step 4: Define equation</u>

-12 - 4x = 8x + 4(1 - 7x)

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Distribute 4:                              -12 - 4x = 8x + 4 - 28x
  2. Combine like terms:                 -12 - 4x = -20x + 4
  3. Add 20x on both sides:            -12 + 16x = 4
  4. Add 12 on both sides:               16x = 16
  5. Divide 16 on both sides:            x = 1

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    -12 - 4(1) = 8(1) + 4(1 - 7(1))
  2. Multiply:                               -12 - 4 = 8 + 4(1 - 7)
  3. Subtract:                              -16 = 8 + 4(-6)
  4. Multiply:                               -16 = 8 - 24
  5. Subtract:                              -16 = -16

Here we see that -16 does indeed equal -16.

∴ x = 1 is a solution of the equation.

7 0
3 years ago
if f(x)=3/x+2-sqrtx-3 complete the following statement. The domain for f(x) is all real numbers___ than or equal to 3
Stolb23 [73]
The domain of the function is the set of all the values of x that would allow the function to have real values. Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number. Thus, the domain should be all numbers GREATER than or equal to 3.
6 0
3 years ago
HELP PLEASEEE...Naming Your Solution When you are asked to name your solution if you have one... that means. When you have ONE s
Reptile [31]

Answer:

It means that you need to state whether there are any solutions and how many there are. For example if the equation ends up with an answer like 2=5 there is no solution because 2 does not equal 5. if the equation ends up with an answer of 0=0 there is infinitely many solutions because 0 does equal 0. if it comes out as x=9 there is one solution because x only has one answer to (keep in mind these are just examples)

Step-by-step explanation:

The order pair would be where the two lines intersect perpendicularly with each other forming a 90° angle

8 0
3 years ago
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205
Crank

Answer:

P(205-0.3=204.7

z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778

z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778

So we can find this probability:

P(-1.778

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

P = 1-0.9243 = 0.0757

Step-by-step explanation:

Let X the random variable that represent the diamters of interest for this case, and for this case we know the following info

Where \mu=205 and \sigma=1.5

We can begin finding this probability this probability

P(205-0.3=204.7

For this case they select a sample of n=79>30, so then we have enough evidence to use the central limit theorem and the distirbution for the sample mean can be approximated with:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}

And we can find the z scores for each limit and we got:

z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778

z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778

So we can find this probability:

P(-1.778

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

P = 1-0.9243 = 0.0757

6 0
3 years ago
Which choices are solutions to the following equation?<br> Check all that apply.<br> x^2 - 3x = -5/4
Ulleksa [173]

Answer:

The answer to this question is C.

7 0
3 years ago
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