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2 years ago

Which algebraic expression is equivalent to the expression below

Mathematics

1 answer:

pickupchik [31]2 years ago

5 0

Answer:

20x + 8

Step-by-step explanation:

5*4x + 5*5 -17

20x +25 -17

20x + 8

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Karen collects bugs. Each of her rare beetles weighs 4 ounces. The total weight of her collection is 32 ounces. How many pounds

aleksandrvk [35]

32/4= 8 so 8 ounces each

6 0

3 years ago

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 87, x

Over [174]

Answer:

(0.185, 0.413)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 87, x = 26, p = \frac{x}{n} = \frac{26}{87} = 0.2989$

98% confidence interval

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.325$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2989 - 2.325\sqrt{\frac{0.2989*0.7011}{87}} = 0.185$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2989 + 2.325\sqrt{\frac{0.2989*0.7011}{87}} = 0.413$

So the correct answer is:

(0.185, 0.413)

4 0

3 years ago

Evaluate 12 + x<br> when x = 2

tamaranim1 [39]

Answer:

Step-by-step explanation:

12+2=14

3 0

4 years ago

Consider the following set of sample data: 21, 24, 25, 32, 35, 31, 29, 28. Which of the following will give a 95% confidence int

IgorLugansk [536]

Answer:

(15.23,41.016)

Step-by-step explanation:

WE must determine the mean of the data set: Which is the sum of the set divided by the number in the set.

$=(21+24+25+32+35+31+29+28)/8=225/8=28.125$

We must also determine the standard deviation: Which is the square root of the variance and the variance is the sum of squares of the sample number minus the mean divided by the number if the set data:

$=((21-28.125)^2+(24-28.125)^2+(25-28.125)^2+(32-28.125)^2+(35-28.125)^2+(31-28.125)^2+(29-28.125)^2+(28-28.125)^2)/8$