All categories

2 years ago

A place from this table is chosen at random. let event A= the place is a city

Mathematics

2 answers:

topjm [15]2 years ago

8 0

Answer:

5/7 is the correct answer

Step-by-step explanation:

The probability of the place is at city are:

The total probability of the place is at city / The total possible outcomes

= 5 / 7

Hope this help you :3

statuscvo [17]2 years ago

4 0

Answer:

There are 7 places shown in the table which are , →{Rome, Tokyo, Houston, Peru, Miami, Toronto, Canada}

Out of which 5 are cities.

City={Rome, Tokyo, Houston,Miami, Toronto,}=5

It is given that a,place from the city is chosen.

Probability of an Event

$=\frac{\text{Total Favorable event}}{\text{Total possible outcome}}$

Probability of selecting a city from 7 places in which 5 are cities

$P(A)=\frac{_{1}^{5}\textrm{C}}{_{1}^{7}\textrm{C}}\\\\P(A)=\frac{5}{7}\\\\P(A^c)=1-P(A)\\\\=1-\frac{5}{7}\\\\=\frac{2}{7}$

Option B

You might be interested in

The universal set is the set of rational numbers. S is the set of integers. Which represents Sc?The universal set is the set of

Y_Kistochka [10]

Answer:

The set of numbers of the form $\frac{p}{q}$ , q≠0 and q≠ 1 or -1.

Step-by-step explanation:

We have that,

U = the universal set = the set of all rational numbers

S = set of all integers.

It is required to find $S^{c}$ .

Now, $S^{c}$ is the complement of the set S.

i.e. $S^{c}$ = U - S = set if rational numbers - set of integers

i.e. $S^{c}$ = the set of rationals which are not integers i.e. the set of points of the form $\frac{p}{q}$ , q≠0 and q≠ 1 or -1.

6 0

2 years ago

Read 2 more answers

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of

ratelena [41]

Answer:

The side length of the original square was 6 inches

Step-by-step explanation:

we know that

The area of a square is

$A=b^2$

where

b is the length side of the square

Let

x ---> the length of the original square

The area of the original square is

$A=x^{2}\ in^2$

The length of the smaller square is

$b=(x-3)\ in$

The area of the smaller square is

$A=(x-3)^2\ in^2$

The area of the smaller square is 1/4 the area of the original square

$(x-3)^2=\frac{1}{4} x^{2}$

solve for x

$x^2-6x+9=\frac{1}{4} x^{2}$

Multiply by 4 both sides

$4x^2-24x+36=x^{2}$

$4x^2-x^2-24x+36=0\\3x^2-24x+36=0$

Solve the quadratic equation by graphing

using a graphing tool

x=2, x=6

see the attached figure

The solution is x=6 in

Remember that the solution must be greater than 3 inches (because Stacey cuts 3 inches off of the length of the square and 3 inches off of the width)

therefore

The side length of the original square was 6 inches

3 0

2 years ago

A baker uses 13 1/2 cups of flour to make bread. She uses 2 1/4 cups of flour to make each loaf. The baker sells 2/3 of the loav

ollegr [7]

Answer:

She sells 4 loaves of bread

Step-by-step explanation:

Lets explain how to solve the problem

→ A baker uses $13\frac{1}{2}$ cups of flour to make bread

→ She uses $2\frac{1}{4}$ cups of flour to make each loaf

From these information we can find the number of loaves of bread

she can make

∵ There are $13\frac{1}{2}$ cups of flour

∵ Each loaf of bread needs $2\frac{1}{4}$ cups of flour

∴ The number of loaves = $13\frac{1}{2}$ ÷ $2\frac{1}{4}$

To divide two mixed numbers make them improper fractions and

change the division sign to multiplication sign and reciprocal the

fraction after the division sign

∵ $13\frac{1}{2}$ = $\frac{(13)(2)+1}{2}$

∴ $13\frac{1}{2}$ = $\frac{27}{2}$

∵ $2\frac{1}{4}$ = $\frac{(2)(4)+1}{4}$

∴ $2\frac{1}{4}$ = $\frac{9}{4}$

∴ The number of loaves = $\frac{27}{2}$ × $\frac{4}{9}$

∴ The number of loaves = 6

<em>She can make 6 loaves</em>

→ The baker sells $\frac{2}{3}$ of the loaves of bread that she makes

→ We need to find the number of loves of bread she sells

∵ She sells $\frac{2}{3}$ of the loaves

∵ There are 6 loves

∴ The number of loaves she sells = 6 × $\frac{2}{3}$ = 4

<em>She sells 4 loaves of bread</em>

7 0

2 years ago

In a hospital, there are 250 registered nurses. 100 of the nurses are males. What is the ratio of male nurses to female nurses i

Dimas [21]

Answer:

The ratio of male nurses to female nurse in lowest terms is: 2:5

Step-by-step explanation:

Given: In a hospital, there are total 250 registered nurses.

Number of nurses are males = 100

Number of nurses are females = 250 - 100 = 150 [ Total nurses - number of male nurses]

To find the ratio of male nurse to female nurses in lowest terms;

A ratio shows that the relative sizes of two or more values.

Then,

$\frac{Number of male nurses}{Number of female nurses}$ = $\frac{100}{250}$

= $\frac{100}{250} =\frac{10}{25} =\frac{2}{5}$ = 2:5

Therefore, the ratio of male nurses to female nurses in lowest terms is; 2 :5

7 0

2 years ago

Read 2 more answers

The area of a trapezoid is 140 cm2 and the height is 20 cm. What is the sum of the bases?

Reil [10]

D 7
A million apologies if I’m wrong half of my brain is still on vacation!

6 0

2 years ago

Read 2 more answers