Of 600 people surveyed, 220 were male and 350 had cell phones. Of those with cell phones, 230 were female. What is the probability that a person surveyed was either male or had a cell phone?
A)100/600 ≈ 0.167
B)480/600 = 0.8
C)340/600 ≈ 0.567
D)450/600 = 0.75

Answers

Answer 1

By definition of probability, the probability that a person surveyed was either male or had a cell phone is [tex]\frac{450}{600}[/tex]= 0.75

Definition of Probabitity

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

Union of events

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

The intersection of events, A ∩ B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A ∩ B is verified when A and B occur simultaneously.

Probability that a person surveyed was either male or had a cell phone

In first place, let's define the following events:

M: the person surveyed was male.C: the person surveyed had a cell phone.

The probability that a person surveyed was either male or had a cell phone is calculated as:

P(M∪C)= P(M) + P(C) -P(M∩C)

In this case, you know:

P(M)= [tex]\frac{220}{600}[/tex]P(C)= [tex]\frac{350}{600}[/tex]P(M∩C)= [tex]\frac{120}{600}[/tex] (Of the 350 people who have cell phones, 230 are female. This means the remaining 120 people with cell phones are male.)

Replacing in the definition of probability:

P(M∪C)= [tex]\frac{220}{600}[/tex] + [tex]\frac{350}{600}[/tex] - [tex]\frac{120}{600}[/tex]

Solving:

P(M∪C)= [tex]\frac{220+350 -120}{600}[/tex]

P(M∪C)= [tex]\frac{450}{600}[/tex]= 0.75

Finally, the probability that a person surveyed was either male or had a cell phone is [tex]\frac{450}{600}[/tex]= 0.75

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Related Questions

PLEASE HELP I NEED HELP

Answers

Answer:

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:

1

y-intercept:

(

0

,

0

)

x

y

0

0

1

1

Please help I will give brainliest.

Answers

Answer:

x = - [tex]\frac{3}{2}[/tex] , x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

4x² + 4x = 3 ← factor out 4 from each term on the left side

4(x² + x) = 3

to complete the square

add/subtract ( half the coefficient of the x- term )² to x² + x

4(x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) = 3

4(x + [tex]\frac{1}{2}[/tex] )² - 1 = 3 ( add 1 to both sides )

4(x + [tex]\frac{1}{2}[/tex] )² = 4 ( divide both sides by 4 )

(x + [tex]\frac{1}{2}[/tex] )² = 1 ( take square root of both sides )

x + [tex]\frac{1}{2}[/tex] = ± 1 ( subtract [tex]\frac{1}{2}[/tex] from both sides )

x = - [tex]\frac{1}{2}[/tex] ± 1

then

x = - [tex]\frac{1}{2}[/tex] - 1 = - [tex]\frac{3}{2}[/tex]

x = - [tex]\frac{1}{2}[/tex] + 1 = [tex]\frac{1}{2}[/tex]

Which list shows the decimals ordered from least to greatest?

0.31, 0.68, 0.16
0.39, 0.49, 0.35
0.42, 0.47, 0.46
0.19, 0.23, 0.28

Answers

Answer:

0.19, 0.23, 0.28...............

0.19, 0.23, 0.28

The easiest way to do this is to ignore the decimal and but it in order from least to greatest

Vertical angles are always adjacent. True False

Answers

Answer:

False

Step-by-step explanation:

Vertical angles are not always adjacent, but they are always congruent.

Hope that helps!

Answer:

False

Step-by-step explanation:

Hope it will help you*

Do number 9 please thank you

Answers

Answer:

82cm

Step-by-step explanation:

ihope it helps thanks

Find the circumferences of both circles to the neartlest tenth

Answers

Answer with step by step explanation

First, let us find the circumference of the small circle.

The radius of the small circle is 5 cm.

So, now let us see the formula which is needed to find the circumference.

C = 2 π r

Let us find it now.

Circumference of the small circle.

C = 2 π r

C = 2 × 3.14 × 5

C = 31.4 cm

  ≈ 30 cm → nearest 10th

                                                                                                     

Now let us find the circumference of the big circle.

The radius of the big circle is 10 cm.

C = 2 π r

C =  2 × 3.14 × 10

C = 62.8 cm

   ≈  60 cm → nearest 10th

Hi I could use some help with this, thank u!

Answers

Alright let's solve this step by step:

Question 1: Find the perimeter of the baseDefinition of Perimeter: is all the side length of the shapes added up

            ⇒ Perimeter = 6 + 6 + 6 + 6 + 6 + 6 + 11 + 11 = 58 km

Question 2: Height of PrismDefinition of height: is the distance from the base of the figure to the top base of the figure

            ⇒ Height = 4.3km

Question 3: Lateral AreaDefinition of Lateral Area: area of nonbase face only

        ⇒ area of the two rectangles on the narrower side of the figure

            ⇒ plus the area of the pentagon on the wider side of the figure

Area of Pentagon

                 = [tex]\frac{1}{2}(base1+base2)*height = \frac{1}{2} *(6 + 11) *4.3=36.55km^2[/tex]

Area of Rectangle = 6 * 5 = 30 km^2

   Total Area = 36.55 + 36.55 + 30 +30 = 133.1 km^2

Question 4: Find the area of the base

    Area of the two bases = 6 * 6 + 6 * 11 = 36 + 66 = 102 km^2

Question 5: Find the surface area of the figureDefinition of the Surface Area: it is a measure of the total area that the surface of the object occupies

     ⇒ Surface Area = Lateral Area + Base area = 133.1 + 102 = 205.1 km^2

Hope that helps!

Find the additive inverse of 4x + 3 .

Answers

Answer:

-4x - 3

Step-by-step explanation:

4x + 3 + y = 0

y is additive inverse

y = -4x - 3

-4x - 3 + 4x + 3 = 0

0 = 0

cancels out

Which pair shows equivalent expressions?
2x+10=-2(x-5)
-2(x+5)=2x-10
-2x-10=-2(x-5)
-2(x-5)=-2x-10

Answers

Answer:

-2(x-5)=-2x-10 = -20

or

-2(x-5)=-2x-10 = 20

Which of the following situations best completes the following statement:

When subtracting an integer is the same as _____.

multiplying its opposite
subtracting its opposite
adding its opposite
dividing its opposite

Answers

Answer:

The answer would be adding its opposite.

Answer:

its subtracting its opposite

Step-by-step explanation:

please answer quick!! what are the exact values of x and y? i’ll give brainlist

Answers

Answer:

x = 20

y = 10√3, or 17.32

here is a graph of x from 0 to 2 By drawing a second graph on the grid, work out an approximate solution to the simultaneous equation 3x-y=2 and 2x+y=4

Answers

Answer:

(1.2, 1.6)

Step-by-step explanation:

Rewrite both equations to make y the subject:

Equation 1:  3x - y = 2

⇒ 3x = 2 + y

y = 3x - 2

This line has a positive slope.

Equation 2:  2x + y = 4

y = -2x + 4

This line has a negative slope.

Therefore, the graph that has been plotted is y = 3x - 2

Plotting second graph

Equation of the line:  y = -2x + 4

Input x = 0 into the equation and solve to find the y-intercept:

⇒ y = -2(0) + 4 = 4

Therefore, the y-intercept is (0, 4)

Input y = 0 into the equation and solve to find the x-intercept:

⇒ 0 = -2x + 4

⇒ 2x = 4

⇒ x = 2

Therefore, the x-intercept is (2, 0)

Plot the two points (0, 4) and (2, 0), and draw a straight line that passes through them.

The solution to the system is the point of intersection of the two lines.  From inspection of the graph, this is (1.2, 1.6)

------------------------------------------------------------------------------------------------

Solving algebraically

Equation 1:  3x - y = 2

Equation 2:  2x + y = 4

Sum the equations to eliminate y:

[tex]\begin{aligned}& 3x - y & = 2\\ +\quad& 2x + y & = 4\\ \cline{1-3}& 5x & = 6\end{aligned}[/tex]

Solve for x:

[tex]\implies x=\dfrac65=1.2[/tex]

Substitute found value of x into one of the equations and solve for y:

[tex]\implies y = 3\left(1.2) - 2=1.6[/tex]

So the solution (point of intersection) of the system of equations is:
(1.2, 1.6)

A researcher wants to study the math scores of high school students in the state of Florida.

Select all

the samples that are biased.


Send a voluntary on-line questionnaire to all Florida high school students.


Randomly select 2,500 high school students in the state of Florida.


Select all students in 20 schools, selected through random sampling.


Select all students in all Miami high schools.

Answers

Using sampling concepts, it is found that these following sample is biased.

Select all students in all Miami high schools.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the only sample that does not englobe all of Florida is the one containing only students from Miami, hence the biased sample is:

Select all students in all Miami high schools.

More can be learned about sampling concepts at https://brainly.com/question/25122507

A bag with 6 marbles has 1 yellow marble 2 blue marbles and 3 red marbles. A marble is chosen from the bag at random what is the probability that it is yellow ? write your answer as a fraction in simplest form

Answers

A fraction/probability is created by taking what we want and putting that over the total.

In this case, we want yellow out of the total number of marbles.

Yellow Marbles = 1

Total Marbles = 6 + 1 + 2 + 3 = 12

Probability/Fraction = 1 / 12

Hope this helps!

A rectangle has an area of 54 sq. cm and a length of 6 cm. Find its width

Answers

Answer:

9 cm

Step-by-step explanation:

A= lw

54=6w

9=w

Answer:

9 cm

Step-by-step explanation:

⇒ Area of rectangle = (L)(B)

Substitute the length, breadth, and the area in the formula:

⇒ Area of rectangle = (L)(B) = 54 cm²

⇒ (6)(B) = 54 cm²

Divide 6 both sides:

⇒ (6)(B)/6 = 54/6 cm²

⇒ B = 9 cm

Thus, the measure of the width is 9 cm.

Kaj is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 33^{\circ}

. If the string from the kite to her hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft

The situation forms a right angle triangle.

What is a right angle triangle?

Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.

Therefore, the height of the kite form the ground can be found as follows;

sin 33° = opposite / hypotenuse

sin 33° = h / 75

cross multiply

h = 75 × sin 33

h = 40.8479276261

h = 40.84

The height of kite from ground = 40.847 + 3.5  = 44.3479276261 = 44.85 ft

learn  more on right triangles here: https://brainly.com/question/25799394

Answer:

44.35

Step-by-step explanation:

i did it

The area of a rectangle is
3/8 in and the length is 5/8 What is the width?

Answers

Answer:

The width W is :

[tex]W=\frac{3}{5}[/tex]

Step-by-step explanation:

Let A be the area of the rectangle

Let L be the length of the rectangle

Let W be the width of the rectangle

______

Formula:

A = L × W

__________

[tex]\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}[/tex]

What is the slope of the line that goes through the points (2,0( and (4,6)

Answers

Answer:

slope = 3x

Step-by-step explanation:

Equation is y = 3x - 6
3x is slope

What is the volume of the prism?
N-
cm
1 cm
4 cm
o 1 cm3
O 2 cm3
o 4 cm3
o 8 cm
3

Answers

The answer is 2 cm^3.

To find it you do L x W x H, so 4 x 1 x 0.5

Hope this helps

The volume of the prism is 2 cm³.

Option B is the correct answer.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The volume of the prism:

= Base area x height

Now,

Base area = 4 x 1 = 4 cm²

Height = 1/2 cm

Now,

The volume of the prism.

= 4 x 1/2

= 2 cm³

Thus,

The volume of the prism is 2 cm³.

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ7

Please help fast! I have a 10 minutes :(

Answers

Maybe 11x? i dont really know, thats all the info we get

10) Ryan plans to borrow $4,500 from the bank to
purchase a used vehicle. If he borrows the money
at a rate of 4% interest for 2 years, what is the
total amount be will have to pay back to the bank?

Answers

Ryan will have to make a monthly payment of $195.41

Find the 63rd term of the arithmetic sequence -1, 5, 11, •

Answers

Answer:

The 63rd Term Is 309

Step-by-step explanation:

Solve for x in the parallelogram.



The solution is x=
units.

Answers

[tex]\textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=13\\ A=104\\ h=x \end{cases}\implies 104=(13)(x)\implies \cfrac{104}{13}=x\implies 8=x[/tex]

50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left

4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!

Answers

Translating the new coordinate up by 2 units and 5 units to the left will given a final coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)

What is transformaton?

This is a technique used to change the position or size of an object on the xy plane.

Given the coordinate points X(2, 4), Y(5,-3) and Z(-7, 1)'

If the coordinate points is rotated 90 degrees clockwise, then the resulting coordinate will be at X(4, -2), Y(-3,-5) and Z(1, 7)

If the resulting coordinate is dilated by by a scaling factor of 2, then the new coordinate points wil be at X''(8, 4), Y''(-6, -10) and (2, -14)

If the resulting coordinate is reflected over the x-axis, then the new coordinate points wil be at X'''(8, -4), Y''(-6, 10) and (2, 14)

Finally, translating the new coordinate up by 2 units and 5 units to the left will given a resulting coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)

Learn more on transformation here:

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The principal at Key North Middle School wants to determine if the 85 students in the seventh grade prefer to collect bottles or sell magazines as their yearly fundraiser. Which of the following is a set of people that could be a representative sample of the population?

Answers

Using sampling concepts, it is found that a sample that involves an equal proportion of boys and girls is representative of the population.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

The students of the seventh grade can be divided into boys and girls, hence, a sample that involves an equal proportion of boys and girls is representative of the population.

More can be learned about sampling concepts at https://brainly.com/question/25122507

which expression is eqivalent to 4(9+3)

Answers

You could do

36+12

4*12

4*9+12

(4*9)+(3*4)

and many more!

help me with this math question pls​

Answers

What's the question???

Answer:

Question Please

Step-by-step explanation:

I will solve it


NEED HELPPPP!!!!!!!!!

Answers

Answer:

i think d but i don't know for sure

A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.

How many people between the ages of 35 and 54 prefer football?

Answers

Answer:

the answer is five 5 students prefer football

A bag contains 10 marbles: 2 are green, 3 are red, and 5 are blue. Boris chooses a marble at random, and without putting it back, chooses another one at
random. What is the probability that both marbles he chooses are red? Write your answer as a fraction in simplest form.

Answers

Answer: 47/90

Step-by-step explanation:

3/10+2/9=47/90 somehow ig

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