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jekas [21]
4 years ago
5

Is (14,21) a solution of y = 2x - y

Mathematics
1 answer:
Whitepunk [10]4 years ago
3 0

Answer:

Step-by-step explanation:

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10 points
oee [108]

Answer:

x = 240 feet

Step-by-step explanation:

It is given that,

The angle of depression is 30 degrees from the bottom of the boat to a  deep sea diver at the depth of 120 ft.

We need to find the distance x the diver must  swim up to the boat. It can be calculate by applying trigonometry as follows :

\sin30=\dfrac{120}{x}\\\\x=\dfrac{120}{\sin30}\\\\x=240\ \text{feet}

So, the distance the diver must swim up to the boat is 240 feet.

6 0
3 years ago
What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phon
vovangra [49]

Answer:

Hence, the probability that seven or more of them used their phones for guidance on purchasing decisions is 0.7887              

Step-by-step explanation:

We are given the following information in the question:

We treat people using phones in the store for guidance  as a success.

P(People use phone for guidance) = 57% = 0.57

Then the number of people follows a binomial distribution, where

Formula:

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 14 and x = 7

We have to evaluate:

P(x \geq 7) = P(x = 7) + P(x = 8) + P(x = 9) + P(x = 10) + P(x =11) + P(x = 12) + P(x = 13) + P(x = 14)\\= \binom{14}{7}(0.57)^7(1-0.57)^7 + \binom{14}{8}(0.57)^8(1-0.57)^6 + \binom{14}{7}(0.57)^9(1-0.57)^5 + \binom{14}{7}(0.57)^{10}(1-0.57)^4 + \binom{14}{7}(0.57)^{11}(1-0.79)^3 + \binom{14}{7}(0.57)^{12}(1-0.57)^2 + \binom{14}{7}(0.57)^{13}(1-0.57)^1 + \binom{14}{7}(0.57)^{14}(1-0.57)^0\\= 0.7887 = 78.67\%

Hence, the probability that seven or more of them used their phones for guidance on purchasing decisions is 0.7887

5 0
3 years ago
PLZ HELP I WILL MARK BRAINLEST, THANKS!
Andru [333]

Answer:

3, and b

Step-by-step explanation:

1. x =3

Because you have 3 little squares for one x

2. x= -12

b) 15+6=21

3 0
3 years ago
Read 2 more answers
Match each word with the correct part of the expression.
ziro4ka [17]

Expression: 5x + 12

Coefficients (The number directly next to the variable): 5

Variable (A letter that stands for a unknown number): x

Term (A single mathematical expression): 5x , 12

Constant (A term that has no attached variables): 12

7 0
2 years ago
Identify the LCM for 6 and 18.<br> 36<br> 108<br> 18<br> 6
oee [108]

Answer: 18

Step-by-step explanation:

8 0
3 years ago
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