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3 years ago

Experiments with repeated independent trials will be described by the binomial distribution if

Mathematics

1 answer:

bija089 [108]3 years ago

7 0

Answer:

d. each trial has exactly two outcomes whose probabilities do not change

Step-by-step explanation:

A binomial experiment is one where there are exactly two outcomes for each trial and probability for getting success is constant in each trial.

In other words, each trial is independent of the other.

The trials need not be continuous nor time between trials to be constant.

Since trials are to be independent, each trial cannot influence the next.

Only option d is right.

d. each trial has exactly two outcomes whose probabilities do not change

Examples are tossing of coins, throwing dice, drawing cards or balls with replacement, etc

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The square of a number is 12 less than 7 times the number. What is the number?

hjlf

Answer:

The number is either 3 or 4

Explanation:

Assume that the number we are looking for is x

The square of the number would be x²

7 times the number would be 7x

We are given that:

square of the number (x²) is 12 less than 7 times the number (7x)

Translating this into an equation, we would have:

x² = 7x - 12

Rearranging the quadratic equation:

x² - 7x + 12 = 0

Now, we factor the equation:

(x-4)(x-3) = 0

This means that:

either x-4 = 0 ..................> x = 4

or x-3 = 0 ........................> x = 3

Let's check if any of the solutions is an extrovert:

For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert

For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert

Since we have no restrictions on the number, therefore, both solutions would be accepted

Hope this helps :)

7 0

3 years ago

Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the dail

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Daily temp(in F) Cakes sold

42 39

45 52

48 31

54 61

59 72

62 35

64 61

65 34

67 58

75 45

84 24

To find whether there is an association between these two let us find the correlation coefficient between these two variables.

r=-0.1975

Since |r|<0.5, correlation is weak.

Let us test the hypothesis r =0

H0:r=0

Ha:r not equals 0

Test statistic = $\frac{r\sqrt{n-2} }{\sqrt{1-r^2} } \\=\frac{-0.1975\sqrt{11-2} }{\sqrt{1-0.1975^2} }\\=\frac{-0.5625}{{0.9803} } \\=-0.5738$

p =0.298

Since p value >0.10, at 90% significance level we accept that there is no association.

6 0

3 years ago

How do I get it to equal zero

Mashutka [201]

Answer:

multiply it by zero

Step-by-step explanation:

zero times anything is zero

7 0

3 years ago

keiko had 6 more red tiles than yellow tiles she gave half of her yellow tiles to ramon. if ramon has 7 yelliw tiles how many ti

kondor19780726 [428]

It would be 6.5 excuse if it was 14 it would be 7 but the other half would be 6.5

6 0

3 years ago

Which equation represents a line that passes through (4, 5) and has a slope of ?

Nadusha1986 [10]

Answer:

Step-by-step explanation:

To find the answer, we can use the point-slope form:

$y-y_1=m(x-x_1)$

Where (x₁, y₁) is a point and m is our slope.

Let's let our point (4, 1/3) be (x₁, y₁) respectively.

We also know that our slope is 3/4. So, substitute 3/4 for m.

This yields:

$y-\frac{1}{3}=\frac{3}{4}(x-4)$

The choice that represents this is B.

So, our correct answer is B.

And we're done!

7 0

3 years ago

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