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Leya [2.2K]
3 years ago
5

A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random from the b

ag.
What is the probability that the marble drawn will not be blue?
There are no answers.
Mathematics
2 answers:
bezimeni [28]3 years ago
8 0

Answer:

The probability that the marble drawn will not be blue is 7/9

Step-by-step explanation:

We have been given that

Number of blue marbles = 8

Total number of marbles = 8 + 6 + 12 +10 = 36

Probability of an event E is given by the formula

P(E)=\frac{n(E)}{n(S)}

Here, we have

n(E) = 8

n (S) = 36

Hence, the probability of getting a blue marble is

P(E)=\frac{8}{36}\\\\=\frac{2}{9}

Therefore, probability that the marble drawn will not be blue is given by

1-P(E)\\\\=1-\frac{2}{9}\\\\=\frac{7}{9}

VladimirAG [237]3 years ago
3 0
Total Marbles = 8 + 6 + 12 + 10 = 36

Probability the marble is blue = 8/36

Inverse this to get the probability of the marble not being blue

Probability of the marble not being blue = 28/36 = 7/9
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IgorLugansk [536]

Answer:  The answers for both (a) and (b) is YES.


Step-by-step explanation: A polynomial is an algebraic expression containing   two or more algebraic terms, i.e., the sum of several terms that contain different powers of the same variable or variables with real coefficients.

For example, p(x) = 4x²+x+2 is a polynomial in variable 'x'.

(a) Yes, the sum of two polynomials is again a polynomial. For example,

if p(x) = ax² + bx + c  and  q(x) = dx² + ex + f, where, a, b, c, d, e and f are real numbers, then their sum will be

p(x) + q(x) = (a+d)x²+(b+e)x+(c+f), which is again a polynomial in 'x' with real coefficients.

(b) Yes, the difference of two polynomials is again a polynomial. For example,

p(x) - q(x) = (a-d)x²+(b-e)x+(c-f), which is again a polynomial in 'x' with real coefficients.

Thus, the answer is YES.

6 0
3 years ago
Myra wrote a computer program that had 75 lines of code. She realized that she could make the code more efficient and removed 20
jeka94

Answer:

Now Myra has 60 lines of code, no grid picture attached.

Step-by-step explanation:

If Myra removed 20% of the lines and she started with 75 lines of code, then she is removing 1/5 of those lines of code.

75 divided by 5 is 15, and 75 - 15 = 60

Now Myra would have 60 lines of code. It's unclear what grid you are talking about though - could you attach a picture of the grid you need to shade in?

8 0
3 years ago
In a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer
stira [4]

Answer:

We conclude that 80% of patients stop smoking when given sustained care.

Step-by-step explanation:

We are given that in a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer smoking after one month.

Let p = <u><em>percentage of patients stop smoking when given sustained care.</em></u>

So, Null Hypothesis, H_0 : p = 80%     {means that 80% of patients stop smoking when given sustained care}

Alternate Hypothesis, H_A : p \neq 80%     {means that different from 80% of patients stop smoking when given sustained care}

The test statistics that would be used here <u>One-sample z test for proportions</u>;

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of patients who stop smoking when given sustained care = 80.2%

           n = sample of patients = 192

So, <u><em>the test statistics</em></u>  =  \frac{0.802-0.80}{\sqrt{\frac{0.802(1-0.802)}{192} } }

                                     =  0.07

The value of z test statistics is 0.07.

<u></u>

<u>Also, P-value of the test statistics is given by the following formula;</u>

                P-value = P(Z > 0.07) = 1 - P(Z \leq 0.07)

                              = 1 - 0.52790 = 0.4721

<u>Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that 80% of patients stop smoking when given sustained care.

8 0
3 years ago
Find the value of y. images attached.
telo118 [61]

Answer:

<h3>The answer is option D</h3>

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of y

To find the value of y we use tan

\tan(28)  =  \frac{y}{35}  \\ y = 35 \tan(28)  \\ y = 18.6098301...

We have the final answer as

<h3>18.61</h3>

Hope this is helps you

5 0
3 years ago
Find the derivative of the function. Assume a and b are not zero
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What are A and B and what is the sigh 
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