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3 years ago

I need help please :))

Mathematics

2 answers:

Eva8 [605]3 years ago

6 0

Answer:

120

Step-by-step explanation:

Because since the one of the sides had 70 and 50 you add it because it would have to be the same as the other side.

Sergeeva-Olga [200]3 years ago

4 0

Answer:

Step-by-step explanation:

That's the answer.....

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A telephone exchange operator assumes that 8% of the phone calls are wrong numbers. If the operator is right, what is the probab

Vera_Pavlovna [14]

Answer:

The probability that the sample proportion differ from the population proportion by greater than 3% is 0.0241.

Step-by-step explanation:

Let X = number of phone calls that are wrong numbers.

The proportion of phone calls that are wrong numbers is, p = 0.08.

A sample of n = 421 phone calls is selected to determine the proportion of wrong numbers in this sample.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of a Binomial distribution is:

$P(X=x)={421\choose x}0.08^{x}(1-0.08)^{421-x}$

Now, for the sample proportion to differ from the population proportion by 3% the value of the sample proportion should be:

$\hat p-p=0.03\\\hat p-0.08=0.03\\\hat p=0.11$ $\hat p-p=-0.03\\\hat p-0.08=-0.03\\\hat p=0.05$

So when the sample proportion is less than 5% or greater than 11% the difference between the sample proportion and population proportion will be greater than 3%.

If sample proportion is 5% then the value of X is,

$X=np=421\times 0.05=21.05\approx21$

Compute the value of P (X ≤ 21) as follows:

$P(X\leq 21)=\sum\limits^{21}_{x=0}{{421\choose x}0.08^{x}(1-0.08)^{421-x}}=0.0106$

If the sample proportion is 11% then the value of X is,

$X=np=421\times 0.11=46.31\approx47$

Compute the value of P (X ≥ 47) as follows:

$P(X\geq 47)=\sum\limits^{471}_{x=47}{{421\choose x}0.08^{x}(1-0.08)^{421-x}}=0.0135$

Then the probability that the sample proportion differ from the population proportion by greater than 3% is:

$P(\hat p-p>0.03)=P(X\leq 21)+P(X\geq 47)=0.0106+0.0135=0.0241$

Thus, the probability that the sample proportion differ from the population proportion by greater than 3% is 0.0241.

7 0

3 years ago

Rewrite the following equation in standard form and determine if there is a solution.

Debora [2.8K]

Answer:

| x + 4 | = -1 No solution

Step-by-step explanation:

3 | x + 4 | + 12 = 9

Subtract 12 from both sides: 3 | x + 4 | = -3

Divide both sides by 3: | x + 4 | = -1

Absolute value cannot be negative, so there is no solution.

5 0

3 years ago

HELP ME PLEASEE

babymother [125]

From the given discrete distribution, we have that:

$\mu = 2.13, \sigma^2 = 0.61, \sigma = 0.78$

<h3>What are the mean, the variance and the standard deviation of a discrete distribution?</h3>

The mean of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

The variance is given by the sum of the difference squared between each observation and the mean, divided by the number of values.

The standard deviation is the square root of the variance.

In this problem, the distribution is:

$P(X = 1) = \frac{2}{8}$

$P(X = 2) = \frac{3}{8}$

$P(X = 3) = \frac{3}{8}$

Hence, the mean is:

$\mu = 1\frac{2}{8} + 2\frac{3}{8} + 3\frac{3}{8} = \frac{17}{8} = 2.13$

The variance is:

$\sigma^2 = (1-2.13)^2\frac{2}{8} + (2-2.13)^2\frac{3}{8} + (3-2.13)^2\frac{3}{8} = 0.61$

The standard deviation is:

$\sigma = \sqrt{0.61} = 0.78$

More can be learned about discrete distributions at brainly.com/question/24855677

4 0

2 years ago

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Tanzania [10]

Tyler concludes that 5x² will always have a larger output for the same value of x.

Look at the graph below and the table given

Take a random value: x = 0

When 5x², y = 0

When 2^x, y = 1

Here, 1 > 0, making 2^x > 5x²

Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.

Disagree with Tyler's point.

7 0

3 years ago

Read 2 more answers

The function y =30+5x represents the cost y (in dollars) of having your dog groomed and buying x for extra services . sorry my m

Evgesh-ka [11]

Answer:

Hello! I am also having trouble in algebra! From what I can see so far this is what the problem should look like...

Step-by-step explanation:

A. Yes, it s a linear function because it matches the equation y=mx+b

B. The domain is 1, 2, 3 , 4, and 5. This is because there are 5 services you can choose from. The domain is discrete because you can't have half a service.

C. Because I'm also doing this book (I'm in Algebra 1 in 8th grade), I'm also just learning this! So sorry, but I don't know how to solve this one either... can someone please help?

Thanks! Also, just a tip, if you're having trouble ever again go to slader.com where they have all the answers to any textbook. They also have really good explanations! However, for this one, I didn't understand it on slader so I came on here! Good luck and if anyone can help with C that would be much appreciated.

8 0

3 years ago