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Lera25 [3.4K]
3 years ago
10

The average time a subscriber spends reading The Wall Street Journal is 49 minutes (The Wall Street Journal Subscriber Study). A

ssume the standard deviation is 16 minutes and that the times are normal are normally distribution. 1) What is the probability a subscriber will spend at least 1 hour reading the journal?
Mathematics
1 answer:
erica [24]3 years ago
5 0

Answer:

P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-49}{16})=P(z>0.6875)

And we can find the probability with the complement rule and the normal standard distirbution and we got:

P(z>0.6875)=1-P(z

Step-by-step explanation:

Let X the random variable that represent the time spent reading of a population, and for this case we know the distribution for X is given by:

X \sim N(49,16)  

Where \mu=49 and \sigma=16

We are interested on this probability

P(X>60)

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

Using this formula we got:

P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-49}{16})=P(z>0.6875)

And we can find the probability with the complement rule and the normal standard distirbution and we got:

P(z>0.6875)=1-P(z

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The probability that a randomly selected student is a girl is 0.52, and the probability that a student is a girl and in an art c
DaniilM [7]

Answer: The answer is 0.38

Step-by-step explanation:

Well, everything is given, as stated in the question "the probability that a student is a girl and in an art class is 0.20."

It's given that the probability that a student is a girl is 0.52.

However, in the question, it said that it's given a student is a girl.

You have the probability that a student is a girl and in art class, so you need to find what 0.52 was multiplied by which would be the probability of someone being in art class. Knowing this you can do 0.20 / 0.52 to get 0.38.

4 0
2 years ago
Find the value of x. Write your answer in simplest form.
slega [8]

Answer:

x = (9/2)√2

Step-by-step explanation:

The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:

cos 45 degrees = x/9

To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2).  Rationalizing the denominator, we get x = (9/2)√2

7 0
2 years ago
What is the arc measure of BDC in degrees?<br> (4k + 159)<br> P<br> (2k + 153)
andre [41]
<h2>Explanation:</h2><h2></h2>

The diagram is missing but I'll assume that the arc BDC is:

(4k + 159)^{\circ}

And another arc, let's call it FGH. measures:

(2k + 153)^{\circ}

If those arc are equal, then this equation is true:

(4k + 159)^{\circ}=(2k + 153)^{\circ} \\ \\ (4k + 159)=(2k + 153) \\ \\ \\ Solving \ for \ k: \\ \\ 4k-2k=153-159 \\ \\ 2k=-6 \\ \\ k=-\frac{6}{2} \\ \\ k=-3

Substituting k into the first equation:

\angle BDC=(4(-3)+159)^{\circ} \\ \\ \angle BDC=(-12+159)^{\circ} \\ \\ \boxed{\angle BDC=147^{\circ}}

3 0
3 years ago
Read 2 more answers
What is 0.0003124 in scientific notation?
Shalnov [3]

3.124 * 10^-4

since your decimal is coming forward you need the exponent to be negative

3 0
2 years ago
Read 2 more answers
Please please help me!!!!!
Maru [420]

Answer:

(12, 487)

Step-by-step explanation:

y = 3.7x + 442 ----› Eqn. 1

y = 14.4x + 312 ----› Eqn. 2

Substitute y = (3.7x + 442) into eqn. 2.

y = 14.4x + 312 ----› Eqn. 2

3.7x + 442 = 14.4x + 312

Collect like terms

3.7x - 14.4x = -442 + 312

-10.7x = -130

Divide both sides by -10.7

x = 12.1495327

Substitute x = 12.1495327 into eqn. 1.

y = 3.7x + 442 ----› Eqn. 1

y = 3.7(12.1495327) + 442

y = 486.953271

The solution to the system is rounded to the nearest integer:

(12, 487)

7 0
3 years ago
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