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3 years ago

Use the law of sines to complete an expression that represents the angle measure x

Mathematics

1 answer:

Assoli18 [71]3 years ago

6 0

Answer: 51.9 degrees
Step by step explanation:
Sin(71)/35.6=Sin(x)/21.3
21.3Sin(71)=35.6Sin(x)
21.3Sin(71)/25.6=sin(x)
Sin^-1(21.3Sin(71)/25.6)=x
51.87827502 degrees=x
51.9= angle x

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Helpppppppppppppppppppppppp

motikmotik

Answer:

1A, 2C, 3X, 4A, 5B, 6W, 7X

Step-by-step explanation:

Im not sure about these answers, can you have the same letter for a different number?

5 0

3 years ago

Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minut

USPshnik [31]

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

z-score = (x- mean)/SD

-0.35 = (22-mean)/6.3

22-mean = -2.205

mean = 22 + 2.205 = 24.205

6 0

3 years ago

What is the first term in the sequence for which d = -2 and a7 = 3?

AnnZ [28]

Answer:

Final answer is c. 15

Step-by-step explanation:

We need to find about what is the first term in the sequence for which d = -2 and a7 = 3

We will use nth term formula of arithmetic sequence.

$a_n=a+\left(n-1\right)d$

we have been given a7 that means 7th term is 3

so plug n=7, d=-2 and a_n=3 into above formula

$3=a+\left(7-1\right)(-2)$

$3=a+6(-2)$

$3=a-12$

$15=a$

Hence final answer is c. 15

7 0

3 years ago

Read 2 more answers

Math class, need help on this. Anybody??

ASHA 777 [7]

Answer:

y = 2x-5

Step-by-step explanation:

y = 2x+2

We know the slope of this line is 2 because it is in the form y =mx +b where m is the slope

We want a parallel line so it has the same slope

We can use the point slope form of the equation

y-y1 = m(x-x1)

y--1 = 2(x-2)

y+1 = 2(x-2)

Distribute

y+1 = 2x-4

Subtract 1 from each side

y+1-1 = 2x-4-1

y = 2x-5

This is in slope intercept form

3 0

3 years ago

There are 30 balls numbered 1-30 in a bag. One is randomly selected 12 times. What is the probability of getting a prime number

Sliva [168]

Answer: The probability of getting a prime number exactly five times = 0.1908

Step-by-step explanation:

Prime numbers from 1 to 30 are 2,3,5,7,11, 13, 17, 19, 23, 29.

The probability of getting a prime number p= $\dfrac{10}{30}=\dfrac13$

Number of trials n = 12

Binomial probability formula:

$P(X=x) = \ ^nC_x p^x(1-p)^{n-x}$

, where x= number of successes

n= number of trials.

x = Number of successes

p= probability of getting one success.

The probability of getting a prime number exactly five times:

$P(X=5)=\ ^{12}C_5(\frac13)^5(1-\frac13)^{7}$

$=\frac{12!}{5!7!}(\frac1{243})(\frac{128}{2187})\\\\=0.1908$

Hence, the probability of getting a prime number exactly five times = 0.1908

4 0

3 years ago