What is the simplified version of this expression 18/4(8/9b+8/6)?

Ad libitum [116K]

It can be -2254/10
or -225 4/10

8 0

3 years ago

The estimate of the population proportion should be within plus or minus 0.02, with a 90% level of confidence. The best estimate

Rudiy27

Answer:

The sample size required is 910.

Step-by-step explanation:

The confidence interval for population proportion is:

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

The margin of error is:

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

Given:

$\hat p = 0.16\\MOE= 0.02\\Confidence\ level =0.90$

The critical value of <em>z</em> for 90% confidence level is:

$z_{\alpha /2}=z_{0.10/2}=z_{0.05}=1.645$ *Use a standard normal table.

Compute the sample size required as follows:

$MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }\\0.02=1.645\times \sqrt{\frac{0.16(1-0.16)}{n} }\\n=\frac{(1.645)^{2}\times 0.16\times (1-0.16)}{(0.02)^{2}} \\=909.2244\\\approx910$

Thus, the sample size required is 910.

5 0

3 years ago

Use the net to find the surface area of the rectangular prism.

Komok [63]

Answer:

220

Step-by-step explanation:

The surface area is given by

SA = 2 ( lw+wh+lh) where l is length h is height and w is width

SA = 2(3*4 + 3*14+ 4*14)

= 2(12+42+56)

= 2(110)

= 220

3 0

3 years ago

Which inequality is true? 1.5 greater-than 2 and one-half

Travka [436]

The inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have inequalities given:

$1.5 > 2\dfrac{1}{2}$