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3 years ago

2. You plant 48 seeds of a certain flower and 32 of them sprout. Find the

Mathematics

1 answer:

Neko [114]3 years ago

6 0

Answer:

<em>The probability that the next flower seed will sprout is 0.667 or 66.7%</em>

Step-by-step explanation:

<u>Probability</u>

The experimental or empirical probability can be defined as the ratio of the number of times an event occurs to the total number of times the random activity was performed.

It can be calculated as the relative frequency of an event A in a sample space. The question states 32 seeds of a certain flower sprout out of 48 planted seeds. The relative frequency of success is computed as

$\displaystyle P(A)=\frac{32}{48}=\frac{2}{3}=0.667$

Thus, the probability that the next flower seed will sprout is 0.667 or 66.7%

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Write the equation of the line that passes. Throught the point (-2,1)and (0,8)put your aswer in fully reduce point slope form un

Soloha48 [4]

Answer:

Step-by-step explanation:

first, we need to find the slope

slope = (y2 - y1) / (x2 - x1)

(-2,1)...x1 = -2 and y1 = 1

(0,8)...x2 = 0 and y2 = 8

now sub

slope = (8 - 1) / (0- (-2) = 7/(0 + 2) = 7/2

point slope form : y - y1 = m(x - x1)

using point (-2,1)....x1 = -2 and y1 = 1

slope(m) = 7/2

now sub

y - 1 = 7/2(x - (-2) =

y - 1 = 7/2(x + 2) <==== here is one answer

y - y1 = m(x - x1)

using point (0,8)...x1 = 0 and y1 = 8

slope(m) = 7/2

now sub

y - 8 = 7/2(x - 0) <===== another possible answer

6 0

2 years ago

A TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 500

nekit [7.7K]

Answer:

0.903264

Step-by-step explanation:

Given that a TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 5000 hours of use is 0.03 for a type A circuit board, 0.04 for a type B circuit board, and 0.03 for a type C circuit board.

Let A' = the event that A fails, B' = B fails and C'= C fails.

Probability that no circuit board fails = Prob (A'B'C')

= P(A')P(B')P(C') (since A,B, C are independent, their complements are independent

= (1-0.03)(1-0.04)(1-0.03)

= 0.903264

8 0

3 years ago

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

wariber [46]

Answer:

In order to calculate the expected value we can use the following formula:

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

And if we use the values obtained we got:

$E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318$

Step-by-step explanation:

Let X the random variable that represent the number of admisions at the universit, and we have this probability distribution given:

X 1060 1400 1620

P(X) 0.5 0.1 0.4

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

In order to calculate the expected value we can use the following formula:

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

And if we use the values obtained we got:

$E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318$

3 0

2 years ago

Drag the tiles to the correct boxes to complete the pairs.

GenaCL600 [577]

The values have being matched to the variables that they represent here:

x-variable: the number of hours Sam works at the airport
y variable: the amount in dollars that Sam has after paying back Daniel
12: amount in dollars that Sam earns per hour.
40: the amount in dollars Sam owes Daniel

<h3>How to solve for the equation.</h3>

The equation of this form y = 12x-40

The variable y has been said to be the amount sam has after Daniel has been paid.

X is the amount that has to be multiplied by what he earns in dollars by the hour.

40 dollars is the amount that he owes which is going to be subtracted from what he earns by the hour.