What is the answer? 8 x 4 + 9^2

A survey was conducted among 1000 people. Of these 595 are Democrats, 595 wear glasses and 550 like ice-cream; 395 of them are D

GREYUIT [131]

The number of people who are not Democrats , do not wear glasses, and don not like ice-cream by using sets are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.

Given total people of 1000 people, 595 democrats, 595 wearing glasses, 550 like ice cream, 395 of them are democrats who wear glasses,350 of them are democrats who like ice cream and 400 of them wear glasses as well as like ice cream ,250 of them are democrats as well as wear glasses and like ice cream.

We have to find the number of people who are not democrats , do not wear glasses ,do not like ice cream and the number of people who do not wear glasses and do not like ice cream.

let X shows the number of democrats and G be number of people who wear glasses and I be the number of people like ice cream.

So,

D=595, G=595 AND I=550

Now D∩G=395

D∩I=350

G∩I=400

so D∩G∩I=250

Formula will be :

D∪G∪I=D+G+I-(D∩G)-(G∩I)-(D∩G)+(D∩G∩I)

=595+595+550-(395+350+400)+250

=845

845 are either democrats or wear glasses as well as like ice cream.

So 1000-845=155

Number of people who are democrats, do not wear glasses and do not like ice cream=D-(D∩G)-(D∩I)+(D∩G∩I)

=595-(395+300)+250

=845-695

=150 people.

Hence the number of people who are not Democrats , do not wear glasses, and don not like ice-cream are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.

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4 0

2 years ago

Esteban has a big jar of change in his room. He has 600 coins total, and 240 of them are pennies. What percentage of the coins a

Minchanka [31]

40%
$\frac{240}{600} = \frac{ \times }{100 } \\ 240 \times 100 =600 \times \\ 24000 \div 600 \\ 40 = \times$

7 0

3 years ago

A n =−1+3(n−1) an=−1+3(n−1) what is the 55 term in the sequence

Sindrei [870]

ANSWER

$a_{55}=161$

EXPLANATION

The general term for the sequence is

$a_n=-1+3(n-1)$

To find the 55th term, we have to substitute
$n = 55$
in to the general term and simplify.

This implies that,

$a_{55}=-1+3(55-1)$

$a_{55}=-1+3(54)$

$a_{55}=-1+162$

$a_{55}=161$

Therefore the 55th term is 161.

8 0

3 years ago

Evaluate cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5.

Andre45 [30]

Answer:

Option d) 5 to the power of negative 5 over 6 is correct.

$\dfrac{\sqrt[3]{\bf 5} \times \sqrt{\bf 5}}{\sqrt[3]{\bf 5^{\bf 5}}}= 5^{\frac{\bf -5}{\bf 6}}$