Help please! Thank you!!!!!!!!!!!!!!!!!

The probability that 15 or more students in the sample are left-handed handed is 0.0752

(a) Why L can be a binomial distribution

From the question, we understand that 11% of the students are left-handed; this means that 89% are not left-handed

This, in other words means that:

For each observation, the student is either left-handed or not left-handed

Hence, the distribution can be represented by a binomial distribution

(b) The probability that 15 or more are left-handed

The sample size is given as:

[tex]\mathbf{n = 100}[/tex]

And the proportion is

[tex]\mathbf{p = 11\%}[/tex]

The mean of the dataset is:

[tex]\mathbf{\mu = np}[/tex]

[tex]\mathbf{\mu = 100 \times 11\%}[/tex]

[tex]\mathbf{\mu = 11}[/tex]

The standard deviation of the dataset is:

[tex]\mathbf{\sigma = \sqrt{\mu(1- p)}}[/tex]

So, we have:

[tex]\mathbf{\sigma = \sqrt{11 \times (1- 11\%)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{11 \times 89\%}}[/tex]

[tex]\mathbf{\sigma = \sqrt{9.79}}[/tex]

[tex]\mathbf{\sigma = 3.13}[/tex]

So, the probability is represented as:

[tex]\mathbf{P(x \ge 15)}[/tex]

Using continuity correction, we have:

[tex]\mathbf{P(x \ge 15) = P(x \ge 15.5)}[/tex]

Calculate the z-score for x = 15.5

[tex]\mathbf{z =\frac{x - \mu}{\sigma}}[/tex]

So, we have:

[tex]\mathbf{z =\frac{15.5 - 11}{3.13}}[/tex]

[tex]\mathbf{z =\frac{4.5}{3.13}}[/tex]

[tex]\mathbf{z =1.438}[/tex]

The probability is then calculated as:

[tex]\mathbf{P(x \ge 15) = P(z \ge 1.438)}[/tex]

Using z-tables of probabilities, we have:

[tex]\mathbf{P(x \ge 15) = 0.075217}[/tex]

Approximate

[tex]\mathbf{P(x \ge 15) = 0.0752}[/tex]

Hence, the probability is 0.0752

Read more about binomial distribution at:

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Answer:

the slope is 2/3

Step-by-step explanation:

Answer:

They have different slopes but the same y-intercept, so they have one solution.

Step-by-step explanation:

Both equations are organized in slope-intercept form, y=mx+b. m is the slope and b is the y-intercept.

In the first equation, the slope is 1/2 and the y-intercept is -3.

In the second equation, the slope is -1/2 and the y-intercept is -3.

These two equations have different slopes, in fact, the second equation has the same slope except negative. This means that they travel with the same steepness but one goes up and the other goes down.

However, they have the same y-intercepts. This means that they both intercept the same point on the y axis. Wherever two equations intercept is their solution.

Therefore, these two equations have one solution.

I hope this helps!

Answer:

 35x - 2

 ———————

    5                  

i hope this helps

Step-by-step explanation:

Answer:

7x + 6/5 or 7x + 1 1/5

Step-by-step explanation:

Ya welcome.

Answer:

10f ?

Step-by-step explanation:

fx10

Answer:

10 lunches

Step-by-step explanation:

$47-$7=$40

40/4=10

Hello, 928747!

So we are trying to find how many boxed lunches Janie ordered.

Each box is $4.00 and the total cost is $47.00 + delivery fee of $7.00

So to find this, we will first subtract the delivery fee because that does not count towards the lunches.

47 - 7 = 40

So the boxed lunches cost $40.00

To find how many Janie ordered, we will divide 4 by 40

40 ÷ 4 = 10

So Janie bought 10 boxed lunches.

The equation would be (47 - 7) ÷ 4

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Answer:

The radius of the cone is approximately 1.4 feet

Step-by-step explanation:

The given parameters of the cone are;

The height of the cone, h = 4 ft.

The volume of the cone, V = 7.77 ft.³

The volume, 'V', of a cone is given by the following formula;

V = 1/3 × π·r²·h

Where;

V = The volume of the cone = 7.77 ft.³

r = The radius of the cone

h = The height of the cone = 4 ft.

By substituting the vales of 'h' and 'V' in the above equation, we have;

7.77 ft.³ = 1/3 × π × r² × 4 ft.

∴ r = √(3 × 7.77 ft.³/(π × 4 ft.)) = 1.36196580784 ft.

∴ The radius of the cone, r ≈ 1.4 ft. (rounding the answer to the nearest 10th)

Answer:

A.) The curves do not intersect.

Step-by-step explanation:

By looking at the graph, we can see that the curves do not intercept, meaning that the equation has no solutions.

First, here we have the graph of the lines:

Which can be seen at the end of the answer.

In the graph, you can see that the lines never do intercept, this means that the equation:

log₆(x - 1) =  log₂(2x + 2)

Has no solutions.

If you want to learn more about graphs, you can read:

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Answer:

the answer is    [tex]\frac{3x^{2} -10x+15}{4x^{2} -12x}[/tex]

Step-by-step explanation:  

Answer:

[tex]15 - 3x = - 6 \\ - 3x = - 6 - 15 \\ = 21 \\ x = \frac{21}{ - 3} \\ x = - 7[/tex]

Answer: It will have to pay $36 in fees.

Step-by-step explanation: Hope this helps:) please mark me brainliest.

Answer:

[tex]=2x^{5} y^{5} \sqrt{7}[/tex]

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

a pec

Option A is correct, the value of y is 57 degrees in the triangle.

We have to find the value of y in the given triangle.

Initially let us find the adjacent angle or interior angle which is adjacent to 114 degrees.

We know the straight line has an angle of 180 degrees

114+x=180

x=66 degrees.

By angle sum property the sum of three angles is 180 degrees.

66+y+y=180

66+2y=180

Subtract 66 from both sides:

2y=180-66

2y=114

Divide both sides by 2:

y=57 degrees

Hence, the value of y is 57 degrees in the triangle.

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Answer:

Kitten is 15 seconds and dog is 10 seconds

In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds  and puppy eats a sausage in 10 seconds.

In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time

Puppy and kitten eats one sausage combined in 6 sec.

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.

Let puppy eats a sausage in [tex]x[/tex] seconds and kitten eats a sausage in [tex]y[/tex] seconds.

As Puppy and kitten eats one sausage combined in 6 sec.Thus,

[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}[/tex]

Let above equation is equation one.

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus

[tex]\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}[/tex]

Put this value of [tex]x[/tex] in the  the equation one to get the value of y. Therefore,

[tex]\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}[/tex]

[tex]-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}[/tex]

[tex]-\dfrac{1}{2y}=-\dfrac{1}{30}[/tex]

[tex]y=15[/tex]

Thus the kitten eats a sausage in 15 seconds.

Put the value of y in equation one. thus,

[tex]\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}[/tex]

[tex]\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}[/tex]

[tex]\dfrac{1}{x} =\dfrac{9}{90}[/tex]

[tex]x=10[/tex]

Thus the puppy eats a sausage in 10 seconds.

Hence the kitten eats a sausage in 15 seconds  and  puppy eats a sausage in 10 seconds.

Learn more about the work and time here,

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Answer:

Rhombus

Step-by-step explanation:

Answer:h/c

Step-by-step explanation:

Answer:

24 / 5 laps

Step-by-step explanation:

Fraction of laps run = 4/5 laps

Number of times lap was run = 6

Fraction representing total laps run :

6 * (4/5)

= 24 / 5

Or

24 /5 = 4 4/5 laps

Answer:

the answer would be x=3,1

Answer:

After completing the square, we can say:

(x - 2)² = 1

If we solve for x, this tells us that x has a value of both 1 and 3.

Step-by-step explanation:

Given:

x² - 4x + 3 = 0

We can complete the square by adding 1 to both sides:

x² - 4x + 4 = 1

(x - 2)² = 1

We can then solve for x by saying:

(x - 2)² = 1

x - 2 = √1

x = 2 ± 1

x = 1, 3

Answer:

5

Step-by-step explanation:

When the angles are vertical you set up your equation to 180

3x-35+130=180 and solve

Answer:

4

Step-by-step explanation:

If its 1/4 then you can use it 4 times to equal a whole yard

Answer:

1/3!

Step-by-step explanation:

Look us Cymath on g0ogle, its a calculator that shows its work!

Answer:

A concave meniscus, which is what you normally will see, occurs when the molecules of the liquid are attracted to those of the container. This occurs with water and a glass tube. A convex meniscus occurs when the molecules have a stronger attraction to each other than to the container, as with mercury and glass.

Answer:

-3x2-6x-3+14 that is the answer

Step-by-step explanation:

x/-3

Answer:

what is you belling? yesterday y monday

Answer:

1/5+4/5

1×5/5+4×1/5

5/5+4/5

5+4/5

9/5

(9/5)/2

Given:

[tex]\sqrt{2}=1.414[/tex]

To find:

The value of [tex]\sqrt{50}+\sqrt{72}[/tex].

Solution:

We have,

[tex]\sqrt{50}+\sqrt{72}[/tex]

It can be rewritten as

[tex]=\sqrt{2\times 25}+\sqrt{2\times 36}[/tex]

[tex]=\sqrt{2}\times \sqrt{25}+\sqrt{2}\times \sqrt{36}[/tex]        [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]

[tex]=5\sqrt{2}+6\sqrt{2}[/tex]

[tex]=11\sqrt{2}[/tex]

Putting [tex]\sqrt{2}=1.414[/tex], we get

[tex]=11(1.414)[/tex]

[tex]=15.554[/tex]

Therefore, the value of given expression is 15.554.

Answer:

5x

Step-by-step explanation:

Answer:

K = -24

Step-by-step explanation:

I didn’t get the second question