3. f(-4) - 3.9(-2) =

A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property t

Tamiku [17]

Answer:

C) I & III

Step-by-step explanation:

Given:

Sample size, n = 18

Sample proportion = 25% = 0.25

Here, a random sample of 18 adults were chosen from the 1500 adults in town. This shows that the random condition was satisfied because the sample was drawn randomly from the general population of adults in the town.

For the normal condition to be satisfied, np should be greater than 10, ie np > 10.

In this case, np = 18 * 0.25 = 4.5

Since np is less than 10, the normal condition was not satisfied.

For the 10% condition to be satisfied, sample size should not be more than 10% of the general population.

Here, the sample size is 18 and the population is 1500. Therefore,

$\frac{18}{1500} * 100 = 1.2$

Since the sample size is 1.2% of the population which is less than 10%, the 10% condition was satisfied.

The correct option is C, because only I & III were satisfied.

4 0

3 years ago

Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III

vodka [1.7K]

Given:

$\sin x=-\dfrac{15}{17}$

x lies in the III quadrant.

To find:

The values of $\sin 2x, \cos 2x, \tan 2x$ .

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.

We know that,

$\sin^2 x+\cos^2 x=1$

$(-\dfrac{15}{17})^2+\cos^2 x=1$

$\cos^2 x=1-\dfrac{225}{289}$

$\cos x=\pm\sqrt{\dfrac{289-225}{289}}$

x lies in the III quadrant. So,

$\cos x=-\sqrt{\dfrac{64}{289}}$

$\cos x=-\dfrac{8}{17}$

Now,

$\sin 2x=2\sin x\cos x$

$\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})$

$\sin 2x=-\dfrac{240}{289}$

And,

$\cos 2x=1-2\sin^2x$

$\cos 2x=1-2(-\dfrac{15}{17})^2$

$\cos 2x=1-2(\dfrac{225}{289})$

$\cos 2x=\dfrac{289-450}{289}$

$\cos 2x=-\dfrac{161}{289}$

We know that,

$\tan 2x=\dfrac{\sin 2x}{\cos 2x}$

$\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}$

$\tan 2x=\dfrac{240}{161}$

Therefore, the required values are $\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}$ .

7 0

3 years ago

Round to nearest hundredth 0.099

Degger [83]

Answer: 0.10

Step-by-step explanation:

Find the number in the hundredth place

9

and look one place to the right for the rounding digit

9

. Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

0.10

8 0

3 years ago

53, Margie usually drinks 12.25 liters of water in one week (7 days), 1 she continues to drink water at the same rate, what is t

Anna [14]

Using the information given in the question, the total number of liters Margie will drink in a 4 week period is 39

Consider the given information:

12.25 liters per week
Continues this for 4 weeks

Equation formed with said information:

Liters per week × The 4-week period

Solving the equation

12.25 × 4

= 49

Therefore, after the 4-week period Margie would of drank 49 liters

4 0

2 years ago

Which correlation coefficient obtained from modeling advertising and sales data of tutti frutti ice cream expresses the stronges

morpeh [17]

Just had this problem the answer is D.

8 0

3 years ago

Read 2 more answers