What number makes the equation true? Enter the answer in the box. 24- =4

Which sample size will produce the widest 95% confidence interval, given a sample proportion of 0.5?

valentinak56 [21]

Answer:

D. 50

Step-by-step explanation:

Width: 2z × sqrt(var/n)

Interval is wider when:

z is higher

n is smaller

In the options, least value of n is 50

3 0

3 years ago

The heights of a group of sixth graders' are summarized below. If another sixth grader were to be measured, what would be a good

olga nikolaevna [1]

Using the mean, median and mode we can assume that a good prediction for her height would be 55 inches.

In the given data ,

Range of the data is 10. So all the values are between 50 and 60.

mode of the data is 57 , and the mean is 55 and the median is 55

Therefore a random 6th grader can have any value between 50 and 60 since it is the range.

Now the mean and median of the function will be closest to a random value.

Hence of all the options 55 is the most efficient explanation of the central tendency of the dataset .

When the probability density function contains a large number of local maxima, the edge points of a continuous distribution are frequently referred to as the distribution's modes.

Any x value that causes the density function probability of a variate to reach a locally maximum value is often thought of as a mode, making any peak a mode.

The median is the value that divides the top and bottom halves of a large dataset, a demographic, or a probability distribution in statistics and probability theory.

Hence of all the options 55 is the most efficient explanation of the central tendency of the dataset .

To learn more about mode visit:

brainly.com/question/300591

#SPJ9

3 0

1 year ago

Integral of x"2+4/x"2+4x+3

dolphi86 [110]

I'm guessing you mean

$\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx$

First, compute the quotient:

$\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}$

Split up the remainder term into partial fractions. Notice that

x ² + 4x + 3 = (x + 3) (x + 1)

Then

$\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52$

So the integral becomes

$\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}$

We can simplify the result somewhat:

$\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}$

3 0

2 years ago

Idenify the numbers that are located below -3.5 on a vertical number line

belka [17]

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The numbers that are located below -3.5 on a vertical number line are (-∞,-3.5).

<h3>What is a number line?</h3>

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

The numbers that are located below -3.5 on a vertical number line are all the numbers that are less than -3.5. The numbers that are located below -3.5 on a vertical number line are (-∞,-3.5).

Learn more about the Number line:

brainly.com/question/557284

#SPJ1

6 0

2 years ago

The product of two consecutive even integers is 224. what are the integers?

algol [13]

Answer:

16, -16, 14, and -14

Step-by-step explanation:

The easiest way of solving this question is by setting up an equation. Let's use "n" to represent any random possible integer.

n (n + 2) = 224

Simplifying:

x^2 + 2n - 224 = 0

(n + 16)(n - 14) = 0

n = -16, 16 or n = -14, 14

Check:

16 * 14 = 224

-16 * -14 = 224

Thus, answers of 16, -16, 14, and -14 all work correctly.

3 0

3 years ago

Read 2 more answers