in a group of 35 children, 10 have blonde hair, 14 have brown eyes, and 4 have both blonde hair and brown eyes. if a child is selected at random, find the probability that the child has blonde hair or brown eyes

Answers

Answer 1

[tex] \frac{14}{35} + \frac{10}{35} - \frac{4}{35} = \frac{4}{7} [/tex]

Answer 2

The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

in a group of 35 children, 10 have blonde hair, 14 have brown eyes, and 4 have both blonde hair and brown eyes.

let, the event be A,

i.e. A = if a child is selected at random, that child has blonde hair or brown eyes.

now, we have,

total no of sample space = 35

probability of blonde hair = 10/ 35

probability of brown eyes = 14/35

probability of both blonde hair and brown eyes = 4/35

so, we get,

probability of  blonde hair or brown eyes = 14/ 35 + 10/ 35 - 4/35

                                                                    = 20 / 35

                                                                    = 4/7

Hence, The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.

To learn more on probability click:

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Related Questions

A right triangle (90) has a one angle that measures 35 degrees. What is the measure of the third angle?

A. 90 degrees
B. 145 degrees
C. 55 degrees
D. 180 degrees

Answers

Answer:

55°

Step-by-step explanation:

triangle= 180°

third angle= 180-90-35

= 55°

-2x^2+6x+1=-3x^2 solve to the nearest tenth

Answers

Step-by-step explanation:

The given equation is :

[tex]-2x^2+6x+1=-3x^2[/tex]

Taking all the terms to one side of the equation i.e.

[tex]-2x^2+6x+1+3x^2=0\\\\x^2+6x+1=0[/tex]

It is a quadratic equation of the form [tex]ax^2+bx+c=0[/tex] whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Here, a = 1, b = 6 and c = 1

Put all the values,

[tex]x=\dfrac{-6\pm \sqrt{6^2-4(1)(1)}}{2(1)}\\\\x=-0.171\ and\ x=-5.82[/tex]

Hence, this is the required solution.

Luigi ha 2 figli di 15 e 11 anni. Fra 18 anni la sua età sarà uguale alla somma delle età che avranno i figli. Quanti anni ha oggi Luigi?​

Answers

Answer:

please if you need help, type in English, thanks :)

A person of interest was identified by the police. Using three different telecommunication towers,
the police were able to gather the following information about the person's cell phone location.
• The person is 7 miles away from A(4,4.6).
• The person is 5 miles away from B(-3.5, - 3.8).
• The person is 6 miles away from C(-6, 5.5).
Use the information from towers A, B, and C to find the approximate location of the person of
interest.

Answers

Answer:

Well since he tracked the person through the communication towers he was able to gather information, with this information we can solve and find out how far this person is.

Step-by-step explanation: read above and trust

Please help me out I don’t understand this.

Answers

The area (A) of a trapezoid is calculated as follows:

A = 1/2 * sum of the parallel sides * height

In this case:

A = 1/2 * (23 + 5) * 12 = 168 yd^2.

Answer: it’s 168

Step-by-step explanation:

Anybody Know? It’s just a SOLVE FOR X

Answers

Answer:

Hello! answer: 10

Step-by-step explanation:

x = 10 because...

10 × 3 = 30 30 + 5 = 35 35 + 55 + 90 = 180 therefore x = 10 hope that helps!

76% of the grade 5 pupils are girls.Express 76% as decimal.

a.0.076
b.0.76
c.7.6
d.76.0​

Answers

Express 76% as decimal is 0,76

76/100 = 0,76

When you change a % to a decimal, you move 2 places to the left. So B. 0.76or you can write it as .76

g A radio station’s poll found that 68% of the respondents in a random sample of listeners plan to see a live music show in the next month. A 95% confidence interval for the population proportion was 0.68 ± 0.04. What is the correct interpretation of the 95% confidence interval? We can be 95% confident that 68% of all listeners will see a live music show in the next month. There is a 95% probability that between 64% and 72% of the listeners will see a live music show in the next month. There is a 5% chance that less than 64% or more than 72% of listeners will see a live music show in the next month. We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%. If we repeatedly took samples of the same size from listeners of this radio station, approximately 95% of those samples would have between 64% and 72% of the sample going to see a live music show in the next month.

Answers

Answer:

We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

A 95% confidence interval for the population proportion was 0.68 ± 0.04.

We are 95% sure that the true population proportion is between 0.68 - 0.04 = 0.64 and 0.68 + 0.04 = 0.72.

Thus, the correct answer is:

We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.

sum of the two angle is equal to 90 degree the ratio of measure of these is 4:5 I what are the measures of these two angle​

Answers

9x =90

x=90/9

=10

4×10= 40

5×10=50

Determine the equation of the circle graphed below.

Answers

Step-by-step explanation:

radius= √(2+2)²+(0+3)²=√4²+3²=√16+9

=√25=5

the equation is

(x+2)²+(y+3)²=25

or

x²+y²+4x+6y-12 = 0

uwuwhwhwuwuwuwuwuwiwuuwuwiwiw

HELPPP HELPPP HELPPP!!!!

Answers

Answer:

Step-by-step explanation:

area =8*4 cm

=32 cm^2

Answer:

area of the figure=8×4

=32 cm²

The perimeter of the
rectangle is 14 m and
the area is 12 m2.
Calculate the length
of the rectangle
diagonal​

Answers

Answer:

5

Step-by-step explanation:

area of rectangle = l(ength)×w(idth)

perimeter = 2×l + 2×w

diagonal = sqrt(l² + w²) (Pythagoras)

l×w = 12. => l = 12/w

2×l + 2×w = 14

2×12/w + 2×w =14

12/w + w = 7

12 + w² = 7w

w² - 7w + 12 = 0

=> (after a little thinking and trying : what 2 numbers multiply to 12 and add to -7 ? -3 and -4

=> (w-3)×(w-4) = 0

so, we get 2 solutions for w : 3 and 4

that gives us 2 solutions for l : 4 and 3

so, one is 3 and the other 4. it does not matter which is which. length 4 and width 3 produce the same diagonal as length 3 and width 4.

diagonal = sqrt(l² + w²) = sqrt(16 +9) = sqrt(25) = 5

Please help!!! Here’s a picture of my question

Answers

Answer:

option no. D

Step-by-step explanation:

i+34j+14k

hope it helps

halps pleasessssssssss

Answers

Answer:

SAS. ( side, angle, side)

in option 2nd

Answer:

False

SAS = This stands for Side Angle Side congruency theorem

Step-by-step explanation:

Question 1.)

If any of the 2 angles of any triangle is congruent to any of the 2 angles of the other triangle, then this would be true. Let's find the measure of ∠R and ∠G:

=> ∠G = 180 - (98 + 30)

∠G = 52

=> ∠R = 180 - (98 + 26)

∠R = 56

Now we know that Angles of ΔHIG are 30, 98, and 52, and Angles of ΔSQR are 26, 98, and 56. 2 angles of 1 triangle are not congruent 2 angles of the other triangle, therefore the triangles aren't congruent.

Question 2.)

SAS congruency is used since an angle and it's 2 adjacent sides are given for each triangle.

Hope this helps!

Find the value of x for which ABCD Is a parallelogram:
Please help :,)

Answers

Answer :
x =5

Explanation :
In a parallelogram opposite sides are equal.
So, 4x =20 (OR) 3x +10 = 5x
x = 20/4 10 = 5x -3x
x = 5 10 = 2x => x =10/2 => x = 5

what is the area of this figure

Answers

Answer:

A=162.56in^2

Step-by-step explanation:

make sure u separate the different shapes

DNA contains the genetic code of an organism. The length of a DNA strand is about 10-7 meter. Which of the following represents the length of the DNA strand as a decimal?​

Answers

Step-by-step explanation:

Write each decimal using a negative exponent. ... DNA contains the genetic code of an organism. ... meter. Which of the following represents the length of the DNA strand as a decimal?

please give answer would be cool
+

Answers

Step-by-step explanation:

38 to 18 m square / videos 400

1.
What is the range of this data set?
07, 43, 9, 35, 38, 13, 24, 41
36
35
24
26

Answers

43-7= 36

Range is highest number minus smallest number

the answer is 36 (A.) because to find range is gonna be the largest number minus the smallest number. so it would be 43 - 7 and you get 6

what is the value of side EC ?

Answers

Answer:

EC = 28'

Step-by-step explanation:

Since ∆KAR ~ ∆ENC, therefore, their corresponding side lengths will be proportional to each other.

By implication, we have:

EN/KA = EC/KR

EN = 96'

KA = 24'

EC = ?

KR = 7'

Thus:

96/24 = EC/7

Cross multiply

EC*24 = 7*96

EC*24 = 672

Divide both sides by 24

EC = 672/24

EC = 28'

what is the perimeter of this given figure

pahelp po. thank you​

Answers

Answer:

14 units

Step-by-step explanation:

Side length of each square is 1 unit.

So, sum of the lengths of all the border edges = 14 units

Thus, the Perimeter of the figure = 14 units

Hopes this helps:

Answer: 14

Somebody help me plzzz....

Answers

Answer:

1. 1 cm

2. 7 and 2/16 (or 1/8) inches

Step-by-step explanation:

2. The distance from each small line on a ruler is 1/16 of an inch.

In a dark room, the pupil of a human eye grows to a diameter of about 3.2 x 10 inches. It
bright light, the pupil shrinks to a diameter of about 8 x 10 inches. How much greater is
the pupil's diameter in a dark room than in bright light?

Answers

Answer: the answer is 48 inches

Step-by-step explanation:

(help) what type of triangle is shown below

Answers

pretty sure it’s obtuse !

atlas isttg dont ttake this down its a question and u have no right to

Answers

Answer:

13/16

Step-by-step explanation:

Solve for (0,2π]
2cos ß * sin ß = cos ß

Answers

Given :

An equation, 2cos ß sin ß = cos ß .

To Find :

The value for above equation in (0, 2π ] .

Solution :

Now, 2cos ß sin ß = cos ß

2 sin ß = 1

sin ß = 1/2

We know, sin ß = sin (π/6)  or sin ß = sin (5π/6) in  ( 0, 2π ] .

Therefore,

[tex]\beta = \dfrac{\pi}{6}\ or\ \beta = \dfrac{5\pi}{6}[/tex]

Hence, this is the required solution.

I need help with this question

Answers

the answer is D. since angle 2= 100 that also means angle 3, 6, and 7 will = 100.
when they are nect to each other they have to add to be 180.

angle 6 (100°) + angle 5 (80°) = 180°

What does the digit 8 represent in 687, 413?

Answers

Answer:

80,000

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Hundreths

Step-by-step explanation:

If a vehicle to school and 72 mph how many feet does vehicle travel in one second

Answers

Answer:

The vehicle travels 105.6 feet in one second.

Step-by-step explanation:

This question is solved by proportions.

72 mph

One hour has 3600 seconds.

Each mile has 5280 ft.

So in 3600 seconds, the vehicle travels 5280*72 = 380160 feet. In one second, how many feet?

3600 seconds - 380160 feet

1 seconds - x feet

Applying cross multiplication:

[tex]3600x = 380160[/tex]

[tex]x = \frac{380160}{3600}[/tex]

[tex]x = 105.6[/tex]

The vehicle travels 105.6 feet in one second.

work out the area of this circle. take pi to be 3.142 and give your answer to be 2 decimal places. 11,2 cm

Answers

Answer:

11.2 i think so but you will write 11.2

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