All categories

2 years ago

9. Given: line c ll line d

Mathematics

1 answer:

ozzi2 years ago

3 0

Answer:

x=38°

y=25°

z=117°

Step-by-step explanation:

Since line d is a line we can say that m<z=180 degrees -(38 degrees +25 degrees)

m<z=117°

Since line c ll line d

We can say that m<y=25°(Alternate interior angles)

We can say that m<x=38°(Alternate interior angles)

x=38°

y=25°

z=117°

You might be interested in

It is estimated that 0.54 percent of the callers to the Customer Service department of Dell Inc. will receive a busy signal. Wha

stira [4]

Using the binomial distribution, it is found that there is a 0.8295 = 82.95% probability that at least 5 received a busy signal.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

0.54% of the calls receive a busy signal, hence p = 0.0054.

A sample of 1300 callers is taken, hence n = 1300.

The probability that at least 5 received a busy signal is given by:

$P(X \geq 5) = 1 - P(X < 5)$

In which:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{1300,0}.(0.0054)^{0}.(0.9946)^{1300} = 0.0009$

$P(X = 1) = C_{1300,1}.(0.0054)^{1}.(0.9946)^{1299} = 0.0062$

$P(X = 2) = C_{1300,2}.(0.0054)^{2}.(0.9946)^{1298} = 0.0218$

$P(X = 3) = C_{1300,3}.(0.0054)^{3}.(0.9946)^{1297} = 0.0513$

$P(X = 4) = C_{1300,4}.(0.0054)^{4}.(0.9946)^{1296} = 0.0903$

Then:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0009 + 0.0062 + 0.0218 + 0.0513 + 0.0903 = 0.1705.

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.1705 = 0.8295$

0.8295 = 82.95% probability that at least 5 received a busy signal.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0

1 year ago

Plz help!!! 40 points. The graph of a line relates the volume as measured in gallons with its approximate equivalent volume meas

Iteru [2.4K]

Ahh i hope im in time to help!

The answer is C, 46

Hope this helped pls mark be brainliest!!!

7 0

3 years ago

The number 4.077 Rounded to the nearest hundredth is what

Svetllana [295]

Answer:

<h3>40.77 is ur answer </h3>

Step-by-step explanation:

<h3>plz mark as brainliast</h3>

4 0

2 years ago

Does increase in sample size increases degrees of freedom for t-tests.

Elena-2011 [213]

Basically degrees of freedom are related to sample size (n-1). If the df increases, it also stands that the sample size is increasing; the graph of the t-distribution will have skinnier tails, pushing the critical value towards the mean.

3 0

2 years ago

Is 2.12359..... rational???

den301095 [7]

Answer:

Step-by-step explanation:

Rational numbers are those that can be represented in a fraction form.

2.12359.... cannot be represented in a fraction form.

So, it is NOT a rational number

6 0

3 years ago

Read 2 more answers