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Nina [5.8K]
3 years ago
14

A construction firm bids on two different contracts. Let E1 be the event that the bid on the first contract is successful, and d

efine E2 analogously for the second contract. Suppose that P(E1) = 0.3 and P(E2) = 0.7 and that E1 and E2 are independent events.
Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

Calculate the probability that both bids are successful

Answer:

The probability that both contracs are successful is 0.21

Step-by-step explanation:

Given

E1 = the event that the bid on the first contract is successful

E2 = the event that the bid on the second contract is successful

P(E1) = 0.3

P(E2) = 0.7

Let P(A) represent the event that both contracts are successful

P(A) = P(E1 and E2)

Since both events are independent. P(A) becomes

P(A) = = P(E1 * P(E2)

By substituton

P(A) = 0.3 * 0.7

P(A) = 0.21

Hence the probability that both contracs are successful is 0.21

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Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using
ss7ja [257]

Answer:

y=-3x+4

Step-by-step explanation:

In function notation we have y in one side and the x (like free variable) and other numbers in the other side.

9x+3y=12

3y=12-9x

3y=-9x+12

y=(-9x+12)/3

y=-3x+4

7 0
3 years ago
Read 2 more answers
At the first track meet, Lonnie threw the shot put 51 1/3 feet. At the second track meet he threw the shot put 54 1/2 feet. Writ
mars1129 [50]

Answer:

Step-by-step explanation:

At the first track meet, distance of the shot put throw D_{1} = 54\frac{1}{3}

At the second track meet distance of the throw D_{2}=54\frac{1}{2} feet

Expression that represents the improvement in the throw will be

D = D_{2}-D_{1}

D = 54\frac{1}{2}-51\frac{1}{3}

D = \frac{109}{2}-\frac{154}{3}

D = \frac{327-308}{6}

D = \frac{19}{6}

D = 3\frac{1}{6} feet

4 0
3 years ago
One golfer's scores for the season are 88, 90, 86, 89, 96, and 85. Another
Allisa [31]

Mean of the first golfer = 89

Mean of the second golfer = 87

Range of the first golfer = 11

Range of the second golfer = 8

Explanation:

First golfer scores 88, 90, 86, 89, 96 and 85.

Sum of the scores of first golfer = 88 + 90 + 86 + 89 + 96 + 85 = 534

Number of observation of first golfer = 6

\text {Mean} = \frac{\text {Sum of the observation}}{\text {Number of observation}}

Mean of the first golfer = \frac{534}{6}=89

Mean of the first golfer = 89

Range of the first golfer = Highest score – Lowest score

                                        = 96 – 85

Range of the first golfer = 11

Second golfer scores 91, 86, 88, 84, 90 and 83.

Sum of the scores of second golfer = 91 + 86 + 88 + 84 + 90 + 83 = 522

Number of observation of second golfer = 6

\text {Mean} = \frac{\text {Sum of the observation}}{\text {Number of observation}}

Mean of the second golfer = \frac{522}{6}=87

Mean of the second golfer = 87

Range of the second golfer = Highest score – Lowest score

                                              = 91 – 83

Range of the second golfer = 8

Comparing the golfer's skills:

Mean of first golfer is greater than Mean of second golfer.  (i.e. 89 > 87)

Range of first golfer is greater than Range of second golfer. (i.e. 11 > 8)

Thus, first golfer have more skills than second golfer.

6 0
3 years ago
Suppose that in a large metropolitan area, 84% of all households have cable tv. Suppose you are interested in selecting a group
Firdavs [7]

Answer:

0.05606

Step-by-step explanation:

This is a binomial probability distribution problem.

84% of all households have cable TV, thus;

p = 0.84

There are six households from this area, thus; n = 6

Formula for this binomial distribution is;

P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)

We want to find the proportion of groups where at most three of the households have cable TV.

Thus, it's is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678

P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528

P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963

P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855

Thus;

P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606

5 0
3 years ago
If 0° ≤ θ ≤ 90° and cosθ = 11/15 , what is the value of sin (90° - θ)?
igor_vitrenko [27]
11/15=0.7333
cos^{-1}(0.7333) =42.83342
sin(90-47.166572) = 0.7333

first, find the numeric value for 11/15
second to find theta, simply do the <em>inverse</em> cos (which is cos^-1) of the first answer.
now you know theta, just do the sin of 90 - theta and that's it!

since you know whatr cos(theta) is, you just take the inverse cos of that number to get theta and 'reverse' cos, essentially. you are just solving for theta, by reversing the cos function with cos^-1
please mark as brainliest!
7 0
3 years ago
Read 2 more answers
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