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mr Goodwill [35]
3 years ago
15

If one letter is chosen at random from the word substitute, what is the probability that the letter chosen will be a "t"?

Mathematics
1 answer:
Aneli [31]3 years ago
4 0

Answer:

3/10

Step-by-step explanation:

there are 10 letters in substitute

there are 3 t's

3/10

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Find m∠X. Put the answer below.<br> m∠X =
Vika [28.1K]

Answer: 30 deg

Step-by-step explanation:

This is an example of a 30-60-90 triangle because the proportions of the sides are 1-2-sqrt(3). Therefore m<X = 30 degrees.

3 0
2 years ago
The quotient of the square of a number and 7
slega [8]

Answer:

(x/7)

x= quotient of a number

7= the denominator of x

8 0
2 years ago
In early 2012, the Pew Internet and American Life Project asked a random sample of U.S. adults, "Do you ever ... use Twitter or
8090 [49]

Answer:

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

3 0
3 years ago
What is the ordered pair after this point is reflected across the y-axis? 4,2
Zepler [3.9K]

Answer:

-4,2

Step-by-step explanation:

a reflection across the y axis means the y values stay the same and the x values change sign

8 0
2 years ago
Rewrite the equation below so that it does not have fractions.
Andru [333]

Answer:

x= - 50/9

Step-by-step explanation:

multipy both equations by 12

9x+60=10

then move the constant to the right hand side and change it's sign

9x= 10 - 60

calculate difference

9x = -50

divide both sides by 9

x= - 50/9

6 0
1 year ago
Read 2 more answers
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