Which of the following represents "a number less ten is twenty-two"?

What is the difference between 903.55 and 87.7

vitfil [10]

Answer:903.55

Step-by-step explanation:

6 0

2 years ago

There are 1,000 golden delicious and 1,000 red delicious apples in a cooler. In a random sample of 75 of the golden delicious ap

Delvig [45]

Answer:

98% confidence interval is (-0.105 , 0.265)

Step-by-step explanation:

n1 = 75 n2 = 75

X1 = 48 X2 = 42

P1 = X1/N1 = 0.64 P2 = X2/N2 = 0.56

98% confidence interval for difference between two proportions is :

P1 - P2 + Z $\sqrt{P1 (1-P1)/n1 + P2 (1-P2)/n1}$

= 0.08 + 0.185

= (-0.105 , 0.265)

98% confidence interval is (-0.105 , 0.265)

4 0

2 years ago

If a 100-lb. cake of ice is placed on a plane of which the inclination to the horizontal is 35, what force will be required to k

Sliva [168]

F = 100(.5736)
= 57.36 lbs. (rounded off to 2 decimal places) 

2) sin60 = .866 
F = 18(.866) 
= 15.59 lbs. (rounded off to 2 decimal places)

8 0

2 years ago

The New Mexico Division of Fish and Wildlife keeps track of the silvery minnow population in the Rio Grande River. They tagged 5

sattari [20]

Answer:

279 silvery minnow

Step-by-step explanation:

Number of Silvery Minnows initially tagged = 54

Number of minnows captured = 62

Number of tagged minnows in captured ones = 12

Remember that in the very beginning there were no tagged minnows. 54 minnows were captured, tagged and released. This means, there are total 54 tagged minnows in the entire population. Lets say there are x number of minnows in total.

So, in x minnows, 54 are tagged ones.

When 62 minnows are captured, only 12 are tagged ones and remaining are un-tagged. Since, the minnows were randomly captured, we can develop a proportion from this case to estimate the total population of minnows in the Rio Grande River.

Ratio of tagged minnows to total population must be equal to the ratio of captured tagged minnows in total captured minnows.

i.e.

$54 : x = 12 : 62\\\\ \frac{54}{x} = \frac{12}{62}\\\\ 62(54)=12x\\ \\ x = 279$

This means, there were 279 silvery minnows in the Rio Grande River.

3 0

2 years ago

The 8th term of a GP is -7/32 find its common ratio if its first term is 28

Ugo [173]

<h2>Common ratio = -1/2</h2>

Step-by-step explanation:

$\text{8}^{th}$ term of a Geometric progression is given as $\dfrac{-7}{32}$ . The first term is given as $28$ .

Any general Geometric progression can be represented using the series $a,ar,ar^{2},ar^{3},ar^{4}...\text{ }ar^{n-1}$ .

The first term in such a GP is given by $a$ , common ratio by $r$ , and the $n^{th}$ term is given by $ar^{n-1}$ .

In the given GP, $a=28;t_{8}=ar^{7}=\dfrac{-7}{32}\\\\28r^{7}=\dfrac{-7}{32}\\\\r^{7}=\dfrac{-1}{128}\\\\r=\dfrac{-1}{2}$

∴ Common ratio is $\dfrac{-1}{2}$ .

5 0

2 years ago