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shusha [124]
4 years ago
15

In ΔJKL, solve for x.

Mathematics
1 answer:
Shkiper50 [21]4 years ago
8 0
You can use trigonometry.

The two sides given are opposite and adjacent to the given angle. Tangent would be the appropriate function to use.

tan(27°) = 34/x
xtan(27°) = 34
x = 34/tan(27°)
x is approximately 66.7387571
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Based on a​ survey, when 1009 consumers were asked if they are comfortable with drones delivering their​ purchases, 42% said yes
Darina [25.2K]

Answer:

B.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is​ possible, but very unlikely.

Step-by-step explanation:

Out of 1009 consumers a sample of 30 consumers is selected and asked the questions. So, the sample size is 30.

n = 30

Based on previous survey, 42% are comfortable with the drone. So in this sample, we can consider the probability of success to be 42%.

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

We want to find the probability of getting exactly 24 consumers who are comfortable with drones.

x = 24

Since, the sample size is fixed, the selections are independent and probability of success is constant, we can use the Binomial Probability to answer this problem. All the conditions of a Binomial Distribution are being satisfied.

According to the formula of Binomial Distribution, the probability of getting exactly x success among n trials is given as:

P( X = x )=^{n}C_{x}(p)^{x}(q)^{n-x}

Using the values, we get:

P(X = 24) =^{30}C_{24}(0.42)^{24}(0.58)^{6}= 0.00002

Thus, the probability of getting exactly 24 consumers from a sample of 30 who are comfortable with drones is 0.00002, which is extremely small.

Since, the value of probability is a very small positive number, it indicates that event is possible but very unlikely. An impossible event has probability equal to 0.

Therefore, option B gives the correct answer.

6 0
4 years ago
-m + 10 = -8 – 6m + 3m
Crank
M = -9 ; solve for m by simplifying both sides of the equation, then isolating the varible 
3 0
4 years ago
How do you solve for "r" in the literal equation "I=Prt"
Mrac [35]
R=I/Pt
hopefully this helps
8 0
3 years ago
Aaron has a loan of 1250£ He pays simple intrest 0.5% per month for eight months Calculate the total amount of interest Aaron pa
Nimfa-mama [501]
Answer: 50 Pounds

Explanation: First we need to find out how much 0.5% of 1250 is. 0.5% of 1250 is 6.25£. Since that’s per month, and Aaron pays interest for 8 months, we multiply by 8. So 6.25 times 8 is 50.
5 0
2 years ago
Graph the line with the equation y=-2x + 6.
motikmotik

Answer:

can you show a link to the graph

Step-by-step explanation:

it will help me answer

8 0
3 years ago
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