Researchers claim that 90% of people are left handed. Suppose the researchers' claim is true. Mrs. Reyes has a Statistics class with 30 students. What is the probability that exactly 25 of them are left handed?

Answers

Answer 1

Answer:

10.23% to the nearest hundredth.

Step-by-step explanation:

This is a Binomial Probability Distribution.

If exactly 25 are left handed then exactly 5 are right handed.

So (probability that exactly 25 are left handed)

= 30C5*(0.1)^5(0.9)^25

= 0.1023047706

= 10.23%.

Answer 2

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

This problem involves the binomial probability distribution, where we have a fixed number of trials (30 students in this case), and each trial has two possible outcomes (left-handed or not left-handed).

The probability of success (a student being left-handed) is 0.9, based on the researchers' claim.

The probability of a failure (a student not being left-handed) is 1 - 0.9 = 0.1.

We want to find the probability that exactly 25 students out of 30 are left-handed.

This can be calculated using the binomial probability formula:

[tex]P(X = k) = ^nC_ kp^k (1 - p)^{n-k}[/tex]

where:

n = 30 (the number of trials)

k = 25 (the number of successes we want)

p = 0.9 (the probability of success in each trial)

Plugging in the values, we get:

[tex]P(X = 25) = ^{30}C_ {25}~ 0.9^{25} ~0.1^5[/tex]

Using a calculator or statistical software, we can find that:

P(X = 25) ≈ 0.2031

Therefore,

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

Learn more about probability here:

https://brainly.com/question/14099682

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Related Questions

16 liters to fraction

Answers

Answer:

16 liters to a fraction would be 4.2 or 4 1/5

Step-by-step explanation:

16 liters = 4.22675 gallons

4.2 gallons = 4 1/5 gallons

1000 L= 1 KL

16 L = 0.016 KL

(Divide 16 by 1000 to convert.)

the equation of the line which passes through the point (0,5) and has a gradient of 4 is

Answers

Answer:

y = 4x + 5

Step-by-step explanation:

slope = m = 4

y-intercept = b = 5

y = mx + b

y = 4x + 5

Can someone solve this?

Answers

Of course :)
I hope you’re allowed to use decimals
First blank: -1.4
Second blank: .8
Merry Christmas and happy holidays :)

Which equation is NOT a linear function?
y = x - 2
y = 2x
y= x to the 2nd power
y=x+2


Answers

Answer:

the 3rd one is not linear

y= x to the 2nd power

The following thermometer indicates the temperature in degree centigrade at 6:00 am. If the temperature increases one degree every 30 minutes. At what time the temperature will reach 20 degrees ?

A 7:15
B 7:30
C 7:45
D 8:00

Answers

Answer:

i think (C)

Step-by-step explanation:

hope this helps you

PLEASE HELP!!!!
Select the correct answer from each drop-down menu.
Consider the end behavior of this function, and then complete the statements.
h(x) = -1/5|x – 3|+ 4

See in picture below

Answers

Answer:

See below

Step-by-step explanation:

As x approaches negative infinity, h(x) approaches negative infinity

As x approaches positive infinity, h(x) approaches negative infinity

I've attached a graph to show why these two are true. Remember that in an absolute value function, the result is always positive. However, because there's a negative constant multiplying the absolute value function, this flips the graph over the x-axis and the result is now always negative. In other words, no matter how big or small x is, y will always get smaller.

Evaluate the expression please.
Evaluate the expression.

3–

10÷

2+1

Answers

Answer:

-7

Step-by-step explanation:

-3-(-10)/-2+1

-3-5+1

-8+1

-7

Answer:

Step-by-step explanation:

Expert-Verified Answer

1 person found it helpful

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jayilych4real

Some useful tips to help you write a five-paragraph essay are:

Choose a topic

Make suitable claims

Make use of supporting details

Make use of rhetorical appeals

Make use of counterclaims and rebuttals

Restate your main points

Conclude.

is this a dilation of 1/2 or a dilation of 2​

Answers

Answer:

The dilation is 2 because triangle K'L'P' is 2x bigger than triangle KLP

Dilation of 2 because point P is 4 on the original and on the prime it’s 8. 4 x 2= 8

the smith family traveled 140 miles from winston salem to asheville they stopped at one rest area the diagram below shows their trip divide into equal segments

Answers

Answer:140 because you have to divided by 1

Step-by-step explanation:

Select the correct answer. Evaluate the following expression when x = -4 and y = 4. A. B. C. D.

Answers

The value of given expression when x=-4 and y=4 is 1250.

The expression is missing in the question which is [tex]\dfrac{x^6-x}{4y}[/tex].

We have to solve it for x= -4 and y = 4.

Now putting the value of x and y we get,

[tex]\dfrac{x^6-x}{4y}=\dfrac{(-4)^6-(-4)}{4}[/tex]

[tex]\dfrac{x^6-x}{4y}=\dfrac{4096+4}{4}[/tex]

[tex]\dfrac{x^6-x}{4y}=1250[/tex]

Hence the value of given expression when x=-4 and y=4 is 1250.

For more details follow the link:

https://brainly.com/question/11897796

What is the value of the expression below?


(3 1/2 - 9 3/4) ÷ (-2.5)

Answers

Answer:

2.5

Step-by-step explanation:

3 1/2 - 9 3/4 =

3 2/4 - 9 3/4 = -6 1/4

-6 1/4 = -6.25 ÷ (-2.5) = 2.5

what does 2y-x=-14 equal?

Answers

Answer:

x=2(y+7)

Step-by-step explanation:

2y−x=−14

Subtract 2y from both sides.

−x=−14−2y

The equation is in standard form.

−x=−2y−14

Divide both sides by −1.

x=2y+14

Then use the inverse property of distrubtion.

x=2(y+7)

or if you want to you can leave it as x=2y+14

Answer:

y=x/2-7

Step-by-step explanation:

Move x to the side with the constant and then divide.

1. -x from both sides

2. the divide by 2

it can also be written like

y=1/2x-7

6√21 ×√28
please show work :D

Answers

Answer:

84√3

Step-by-step explanation:

6√21√28

6√7√3√7√4

(6√7√3√7)(2)

(6*7)(√3)(2)

(42)(√3)(2)

84√3

[tex]6\sqrt{21} \cdot \sqrt{28}\\\\=6 \left(\sqrt{21 \times 28 \right)\\\\=6\left(\sqrt{588}\right)\\\\=6\left(\sqrt{196 \times 3}\right)\\\\=6\left(14\sqrt 3\right)\\\\=84\sqrt{3}[/tex]

Given the function below find f(-2).

f(x)=x2−3x+5

Group of answer choices

10

15

20

25

Answers

15
See picture attached

7 is a factor of
a 28
b 16
c 11
d 4

Answers

Answer:

a) 28

Step-by-step explanation:

A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number​

Answers

Answer:

The number = 45

Step-by-step explanation:

Let the 10s digit = x

Let the units digit = y

10*x + y = 5(x + y)                        Start here: remove the brackets

10*x + y + 9 = 10y + x                   Subtract y and 10x from both sides

Using the first equation

10x + y = 5x + 5y

5x + y - 5y = 0

5x - 4y = 0

5x = 4y

y = 5/4x

From the second equation

9 = 9y - 9x

1 = y - x           Substitute y = 5/4 x

1 = 5/4x - x

1 = 1/4  x

x = 4

y = 5/4 * 4

y = 5.

Work out the surface area of this solid prism.
25cm
17cm
15cm
30cm
28cm
The diagram is not drawn to scale.
PLS HELPPP IM DYING

Answers

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

Please help me first person will get brainliest!!

Answers

Answer:

6w-60x+6

Step-by-step explanation:

6(w-10x+1)

6w+6(-10)+6*1

6w-60x+6

Answer: 6(w-10x+1)

6w+6(-10)+6*1

6w-60x+6

Step-by-step explanation: hope it helps you .Thanks .

3x - y = 23
2x + 3y = 8​

Answers

Answer: x = 11

Step-by-step explanation:

You didn't state what you needed for these problems so I'm going to assume you need to solve for X.

1st Equation:

3x - y = 23 --> y = 3x - 23

2nd Equation:

2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3

Set Equations = to Each other

3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23

9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3

7x/3 X 3/7 = 77/3 X 3/7

x = 11

If you need to solve for y as well plug the x value back into the original equation and solve.

the sum of two numbers is 30. the difference one the two numbers is 4

Answers

Answer:

20+10 is 30 5x6 is 30

Step-by-step explanation:

so just add numbers to find 30

Answer:

first number is 17 and second number is 13

Step-by-step explanation:

let the numbers are x and y

if their sum is 30 and difference is 4

then

x+y=30     --------------1equation

x-y=4          -----------2equation

add both the equations,

2x=34

x=17

then  

put the value of x in 1equation,

x+y=30

17+y=30

y=30-17

y=13

then,

first number is 17 and second number is 13

What is the length of side a?

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)

So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)

Now, let's solve ~

[tex] \sf \: BD {}^{2} + CD {}^{2} = BC {}^{2} [/tex]

[tex] \sf4 {}^{2} + {3}^{2} = {a}^{2} [/tex]

[tex] \sf16 + 9 = {a}^{2} [/tex]

[tex] \sf \: a {}^{2} = 25[/tex]

[tex] \sf \: a = \sqrt{25} [/tex]

[tex] \sf \: a = 5 \: units[/tex]

Therefore, Length of side a is 5 units ~

HELP THIS IS DUE TODAY!!!!!!!!

Answers

Answer:

the loop is going by 4

Step-by-step explanation:

the loop is going on by four

$20, $15,$10,$5. What is the range of allowance amounts?

Answers

Answer:

$15

Step-by-step explanation:

20-5= 15

Answer: The range is 15 because 20 is the highest and 5 is the lowest and when you subtract them you get 15.

Hope this helps :)

8x - 60 less than or equal to 2 (5 - 3x)

Answers

Answer:

x less than or equal to 5

i think thats what u wanted

I NEED ANSWER NOW PLEASE TELL ME THE ANSWER AND HOW YOU GOT IT I WILL MARK U AS BRAINLIEST IT DUE IN 5 MINS
(GIVE ME ALL THE ANSWERS)

Answers

Answer:          

1 is 42,256 =              

3 × 105

+ 0 × 104

+ 5 × 103

+ 4 × 102

+ 4 × 101

+ 4 × 100

       

2 is

4 × 104

+ 2 × 103

+ 2 × 102

+ 5 × 101

+ 6 × 100

3 is   9,905,482 =

9 × 106

+ 9 × 105

+ 0 × 104

+ 5 × 103

+ 4 × 102

+ 8 × 101

+ 2 × 100

Step-by-step explanation:

Jill said Eight times my age 3 years ago equals
104 How old is Jill now?

Answers

Answer:

13 yrs old

Step-by-step explanation:

104/8=13

Answer:

14 years ago

Step-by-step explanation:

birthday January 16

3927283+8093
Help pls

Answers

Answer: 3935376

Step-by-step explanation: 3927283+8093

3935376

The answer when added correctly is 3,935,376

Hemp help help math

Answers

Answer:

1

Step-by-step explanation:

f(x) = y

that expression asks what y is when x = -2.

you can solve this by plugging in -2 for x in the function.

f(-2) = 3(-2) + 7

f(-2) = -6 + 7

f(-2) = 1

Answer:

1

Step-by-step explanation:

Plug in -2.f(x) = -6+7f(x) = 1. Hope it helps

2(3+x)=18 what does x equal please show work

Answers

2(3 + x) = 18 / : 2

3 + x = 9

x = 9 - 3

x = 6

Answer:

x = 6

Step-by-step explanation:

2(3 + x) = 18 ( divide both sides by 2 )

3 + x = 9 ( subtract 3 from both sides )

x = 6

help stranger's ( ◜‿◝ )​

Answers

Answer:

what is the question in this picture

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