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Margaret [11]
3 years ago
10

if there are 8 chocolate chip cookies out of 20 total cookies in a jar what is the probability that you will randomly choose a c

hocolate chip cookie?
Mathematics
2 answers:
Assoli18 [71]3 years ago
8 0
Since there are 8 cookies out of 20 cookies, the probability of randomly choosing a chocolate chip cookie would be 8 out of 10, or 8/10 if you prefer fractions.

However, the fraction 8/10 can still be simplified. Divide the numerator and denominator by 2 to get 4/5.

4/5 --> 4 divided by 5 = 0.8

So the answer is 4/5 or 0.8.
Andrews [41]3 years ago
4 0

Answer:

Step-by-step explanation:

The answer is 2/5 40% or 0.4

You might be interested in
Convert the following statement using an "if-then" structure.
GaryK [48]

Answer:

  D. If John owns a dog, then he owns a cat

Step-by-step explanation:

The implication p → q (if p, then q) has the same truth table as the logical expression ~p∨q. You have the expression ...

  ~(John owns a dog) ∨ (he owns a cat)

Matching parts of this expression to the components of the expression ~p∨q, we see we can choose ...

  • p = John owns a dog
  • q = he owns a cat

and put those into the structure of the implication: if p, then q.

  If John owns a dog, then he owns a cat. . . . . matches choice D

6 0
2 years ago
Evaluate the exponent expression 3x–4 ⋅ xy2 for x = –1 and y = 2.
ddd [48]

Answer:

48

Step-by-step explanation:

Given,

x = - 1

y = 2

To find : The value of 3x - 4 ⋅ xy² ?

Substitute the given values of x and y in the expression 3x - 4 ⋅ xy².

3x - 4 ⋅ xy²

= 3 ( - 1 ) - 4 ⋅ ( - 1 ) ( 2 )²

= - 3 - 4 ⋅ - 1 ( 4 )

= - 12 ⋅ - 4

= 48

Note : -

When a negative number gets multiplied with a negative, the resulted number is a positive number.

8 0
2 years ago
If the area of a circle is 121pie square units, what is the diameter
velikii [3]
Since you are given the area, we can solve for radius with this equation:
A_c = \pi r^2
r = \sqrt{ \frac{A_c}{ \pi } } = \sqrt{ \frac{121 \pi }{ \pi } } = \sqrt{121} = 11

The radius is 11, so the diameter must be 2 times that, which is 22. With the correct units, the answer is 22 units²
4 0
3 years ago
A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey
Lubov Fominskaja [6]

Answer:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

Step-by-step explanation:

For this case we have the following distribution given:

X        0         1       2       3       4         5        6

P(X)  0.3   0.25   0.2   0.12   0.07   0.04   0.02

For this case we need to find first the expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And replacing we got:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

Now we can find the second moment given by:

E(X^2) =\sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

And the variance would be given by:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

 

8 0
3 years ago
Find the 73rd term of the arithmetic sequence -28, -41, -54, ...
PolarNik [594]

Answer:

the 73rd term of the arithmetic sequence is -964.

Step-by-step explanation:

The common difference in this arithmetic sequence is 13.  This is obtained by subtracting 28 from 41.  The first term is a(1) = -28.

The arithmetic sequence formula is a(n) = a(1) + d(n - 1), where d is the common difference and -28 the first term.

Then, in this case, a(n) = -28 - 13(n - 1), and

a(73) = -28 - 13(73 - 1) = -964

3 0
2 years ago
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