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Reptile [31]
3 years ago
5

A month of the year is chosen at random. What is the probability that the month starts with the letter Jor the letter M?

Mathematics
2 answers:
tamaranim1 [39]3 years ago
4 0

Answer:

5 out of 12

5/12

January, March, May, June, July

There are three months whose name starts with the letter 'j': January, June, July

There are two months whose name starts with the letter 'm': March, May

So altogether, there are 5 months whose name starts with the letter 'j' or 'm'. So the possible outcome is 5 and total number of sample space is 12.

Therefore the required probability is: 5/12

PLEASE GIVE BRAINLYEST :)

andrew-mc [135]3 years ago
4 0

Answer:

Step-by-step explanation:

Total outcomes = 12

Letter starting with M = 2 (march & May)

Letter starting with J = 3 ( January, June, July)

P(letter starting with M and J)=2/12+3/12=5/12

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Answer:

The break-even sales amounts​ is 36 or 224.

Step-by-step explanation:

Consider the provided function.

P= -5x^2 + 13x - 4

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts​.

the​ break-even sales amounts​ is the sales amounts that result in no profit or​ loss.

That means substitute P=0 and solve for x.

-5x^2 + 13x - 4=0

5x^2-13x+4=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a=4, b=-13 and c=4 in above formula.

x_{1,\:2}=\frac{-\left(-13\right)\pm \sqrt{\left(-13\right)^2-4\cdot \:5\cdot \:4}}{2\cdot \:5}

x_{1,\:2}=\frac{13\pm\sqrt{169-80}}{10}

x_{1,\:2}=\frac{13\pm\sqrt{89}}{10}

x=\frac{13+\sqrt{89}}{10},\:x=\frac{13-\sqrt{89}}{10}\\x\approx2.243, \ or\ x\approx 0.357

Therefore, the break-even sales amounts​ is 36 or 224.

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Gina sells 216 cakes in the ratio small :medium:large 5:7:12. The profit for one medium cake is twice the profit for one small c
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Answer:

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Answer:

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We are given the following hypothesis below;

Let p = <u><em>proportion of people who write with their left hand</em></u>

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Alternate Hypothesis, H_A : p \neq 0.22      {means that the proportion of people who write with their left hand is different from 0.22}

Now, Type I error states that we conclude that the null hypothesis is rejected when in fact the null hypothesis was actually true. Or in other words, it is the probability of rejecting a true hypothesis.

So, in our question; Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error states that we conclude that the null hypothesis is accepted when in fact the null hypothesis was actually false. Or in other words, it is the probability of accepting a false hypothesis.

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