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2 years ago

11

the owner of a new restaurant is ordering tables and chairs. he wants to have only tables for two and tables for 4. the total nu

mber of people can be seated in rest is 120

1 answer:

Bad White [126]2 years ago

5 0

480 is the answer hope it helped

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In an election, the population consists of the people who voted. Although there is overall data on how the population voted, the

andrew-mc [135]

Answer:

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

Step-by-step explanation:

braniest

4 0

3 years ago

Classify each of the sentences below as an atomic statement, a molecular statement, or not a statement at all. If the statement

MArishka [77]

Answer:

a. The sum of the first 100 odd positive integers - Not a statement

b. Everybody needs somebody sometime - Atomic statement

c. The Broncos will win the Super Bowl or I'll eat my hat - Molecular statement (disjunction)

d. We can have donuts for dinner, but only if it rains - Molecular statement (conditional)

e. Every natural number greater than 1 is either prime or composite - Atomic statement

f. This sentence is false - Not a statement

Step-by-step explanation:

A statement in mathematics can be said to be any declarative statement that can either be true or false. While a sentence is considered to not be a statement if

Statements are divided into 2:

Atomic statements: These are statements that cannot be split into mini statements.
Molecular statements: These are the opposites of atomic statements. They are statements that cannot be spilt. This can further be divided into; conjunction, disjunction, conditional, bi-conditional and negation

3 0

3 years ago

In two or three sentences explain how you would solve for the real solutions of the following equation: please help asap!!

g100num [7]

the real solutions for the equation $x^{3}=-64$ are -

$x=4,2+-2\sqrt{3i}$

Step-by-step explanation:

$x^{3}$ = $- 64$

$x^{3} +64$ = 0

We can write 64 as $4^{3}$

$x^{3}$ + $4^{3}$ = 0

using the identity ( $x^{3}+y^{3} = (x+y)(x^{2} -xy+y^{2} )$ )

we get,

= $(x+4) (x^{2} -x*4+4^{2} )$

= $(x+4)(x^{2} -4x+16)$ ....................(1)

solving the quadratic equation ,

$x^{2} -4x+16$ =0

solutions of this quadratic equation can be obtained by

$x=-b +- \sqrt{b^{2}-4ac } /2a$

let use y for factors

$x=-(-4x)+-\sqrt{(-4x^{2} )-4*x^{2} *16} / 2*x^{2}$

$x=4x+-\sqrt{16x^{2} -64x^{2} } /2x^{2}$

$x=4+-\sqrt{16-64}/2$

$x=4+-4\sqrt{3i} /2$

<u /> $x=2+-2\sqrt{3i}$ ..................(2)

from the equation 1 we have,

$x-4=0$

which gives solution $x=4$

and from equation 2 we got $x=2+-2\sqrt{3i}$

so the real solutions for the equation $x^{3}=-64$ are -

$x=4,2+-2\sqrt{3i}$

3 0

2 years ago

20 POINTS!!!!!!!The monthly salary of an employee with 33 hours of training can be written as

Gennadij [26K]

<h3>Answer:</h3>

D-Salary(33) or S(33)

D is correct hope this helps

6 0

2 years ago

A student did a survey on how people feel when they are hungry. The results were that more people felt a stabbing pain than thei

Kamila [148]

it’s 19 :)

filler

:)

hi

7 0

3 years ago