Will adding and subtracting change the orinigal number by the amount

Flauer [41]

The answer is 1.5 I think

6 0

3 years ago

You intend to estimate a population proportion with a confidence interval. The data suggests that the normal distribution is a r

SIZIF [17.4K]

Answer:

The critical value that corresponds to a confidence level of 99% is, 2.58.

Step-by-step explanation:

Consider a random variable X that follows a Binomial distribution with parameters, sample size n and probability of success p.

It is provided that the distribution of proportion of random variable X, $\hat p$ , can be approximated by the Normal distribution.

The mean of the distribution of proportion is, $\mu_{\hat p}=\hat p$

The standard deviation of the distribution of proportion is, $\sigma_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}$ .

Then the confidence interval for the population proportion p is:

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

The confidence level is 99%.

The significance level is:

$\alpha =1-\frac{Confidence\ level}{100}=1-\frac{99}{100}=1-0.99=0.01$

Compute the critical value as follows:

$z_{\alpha /2}=z_{0.01/2}=z_{0.005}$

That is:

$P(Z>z)=0.005\\P(Z$

Use the z-table for the z-value.

For z = 2.58 the P (Z < z) = 0.995.

And for z = -2.58 the P (Z > z) = 0.005.

Thus, the critical value is, 2.58.

7 0

4 years ago

Let a, b, c, and d be nonzero real numbers. If the quadratic equation ax (cx + d) = –b (cx + d) is solved for x, which of the fo

gayaneshka [121]

Answer:

$x_1=-\frac{b}a,x_2=-\frac{d}c$

Step-by-step explanation:

Solving for x:

$ax(cx + d) =-b(cx +d)\\ax(cx + d)+b(cx+d)=0\\(ax+b)(cx+d)=0$

In this form is easy to identify the factors of the quadratic function: $(ax+b)(cx+d)$ . The two solutions are the values that make each of the factors equals to zero.

$ax_1+b=0\\ax_1=-b\\x_1=-\frac{b}a\\cx_2+d=0\\cx_2=-d\\x_2=-\frac{d}c$

7 0

4 years ago

Chloe can read 75 words in 45 seconds. At this rate, how many words can she read in 15 minutes

Elis [28]

Answer:

1500

Step-by-step explanation:

4 0

2 years ago

given that sin x < cos x and 0° < x < 90°, state a possible value of x. explain your answer clearly.

Ahat [919]

Answer:

See below.

Step-by-step explanation:

When x has a value between 0 and 90 the values of sin x ranges from 0, if x = 0 and 1 , if x = 90 degrees.

The cosine of x has the reverse value: cos x is 1 for x = 0 and 0 for x = 90 degrees.

At x = 45 the sine and cosine are equal in value.

So for sin x < cos x the value of x must be between 0 and 45 degrees.

So a possible value of x is 30 degrees.

When x = 30 sin x = 0.5 and cos x = 0.866.

7 0

3 years ago