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victus00 [196]
3 years ago
13

If the measure of angle A = 55 degrees, b = 12, and c= 7, find a.

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0
The answer probably is 55 otherwise I didn’t understand your question.
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Given that x/1 = 3y/8, find the ratio of : y
brilliants [131]

Answer:

3 : 8

Step-by-step explanation:

\frac{x}{1} = \frac{3y}{8}

cross multiply

8x = 3y

x = 3/8

x : y = 3 : 8

5 0
3 years ago
The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit
jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

f(x) = \lambda e^{-\lambda x} ; x > 0

Here, \lambda = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean =  \frac{1}{\lambda}  

So,  22=\frac{1}{\lambda}  ⇒ \lambda=\frac{1}{22}

SO, X ~ Exp(\lambda=\frac{1}{22})  

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

    P(X\leq x) = 1 - e^{-\lambda x}  ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

        P(X < 30)  =  1 - e^{-\frac{1}{22} \times 30}

                         =  1 - 0.2557

                         =  0.7443

7 0
4 years ago
Determine the value of x
Mekhanik [1.2K]

Answer:

2√2

Step-by-step explanation:

<u>By </u><u>using </u><u>trigonometry,</u>

sin 45° = x/4

x = 4sin 45°

x = 2√2

<u>By </u><u>using </u><u>Pythagorean</u><u> </u><u>theorem</u><u>,</u>

Since you know that it is an isosceles triangle and it's also a right-angled triangle,

4² = x² + x²

16 = 2x²

x² = 8

x = √8

= 2√2

6 0
3 years ago
Think about converting 48% to an equivalent fraction in reduced form. If the denominator is 25, what is the numerator?
bulgar [2K]

Answer:

the numerator is 12

Step-by-step explanation:

since 48 is a percent, it would be put as 48/100 as a fraction. since both the numerator and denominator are divisible by 4, you can reduce the fraction into 12/25. Since the question is asking what the numerator was when the denominator was 25, the answer is 12.

8 0
4 years ago
Simplify 10+4(−8q−4)
vlada-n [284]

Answer:

10 + 4(-8q - 4)

= 10 + 4 * (-8q) + 4 * (-4)     (Distribute 4)

= 10 - 32q - 16                    (Expand)

= -32q - 6                           (Combine like terms)

4 0
3 years ago
Read 2 more answers
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