Number pattern 192,96,48,24

There are two aircraft carriers, A and B, and the carrier A is longer in length the carrier B. The total length of these two car

Svetradugi [14.3K]

Answer:

<h3>Length of carrier A = 2096 feet</h3><h3> Length of carrier B=2082 feet.</h3>

Step-by-step explanation:

Given , two air craft carriers are A and B . The carrier A is longer than the carrier B in length.

Total length of two carriers =4178 feet

Difference of two carriers = 14 feet

Let

Length of carrier A =x feet

And

Legth of carrier B =y feet

According to question

The I equation is

x+y=4178

The II equation is

x-y= 14

Substitution method: In this method step I : we find value of x or y from the equation I

Step II: put the value of x or y in II equation then we get the value of another varaiable x or y

Step : Again put the obatined value of variable x or y from step II in equation I then we get value of other variable x or y .

By using substitution method ,

we find value of x from equation I

x= 4178-y

Now, put the value of x in equation II then we get

4178-y-y=14

4178-2y=14

4178-14=2y

4164=2y

$y=\frac{4164}{2}$

y= 2082

Again , put the value of y in equation I

2082 +x=4178

x= 4178-2082

x=2096

Hence, the length of carrier A = 2096 feet

The length of carrier B= 2082 feet

4 0

3 years ago

When the sample size and the sample proportion remain the same, a 90 percent confidence interval for a population proportion p w

deff fn [24]

Answer:

A 90% confidence interval for <em>p</em> will be <u>narrower </u>than the 99% confidence interval.

Step-by-step explanation:

The formula to compute the (1 - <em>α</em>) % confidence interval for a population proportion is:

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

Here $\hat p$ is the sample proportion.

The margin of error of the confidence interval is:

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

The MOE is dependent on:

Confidence level
Standard deviation
Sample size

The MOE is directly related to the confidence level and standard deviation.

So if any of the two increases then the MOE also increases, thus widening the confidence interval.

And the MOE is inversely related to the sample size.

So if the sample increases the MOE decreases and vice versa.

It is provided that the sample size and the sample proportion are not altered.

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

$z_{\alpha/2}= z_{0.10/2}=z_{0.05}=1.645$

And the critical value of <em>z</em> for 99% confidence level is:

$z_{\alpha/2}= z_{0.05/2}=z_{0.05}=1.96$

So as the confidence level increases the critical value increases.

Thus, a 90% confidence interval for <em>p</em> will be narrower than the 99% confidence interval.

6 0

3 years ago

Write the ratio of baby girls to baby boys with a hospital full of 1,000 babies, 430<br> being boys.

makvit [3.9K]

Answer:

57:43

Step-by-step explanation:

1000 babies - 430 baby boys = 570 baby girls

570 girls to 430 boys

570:430

simplify

57:43

6 0

3 years ago

Read 2 more answers

How do you write something in scientific notation?

Contact [7]

Scientific notation is just a form of the number:

And the format is:

(A number greater than 1 but less than 10) times (10 to the power of x) ,where x can be positive or negative, but not a fraction or decimal

4 0

4 years ago

Read 2 more answers

What is the circumference of circle if the diameter is 21

Doss [256]

Answer:

The circumference is 66cm

Radius = Diameter/2

= 21/2 CM

= 10.5 CM

Circumference of a circle = 2πr

= 2 × 22/7 × 10.5 CM

4 0

3 years ago