consider the result of a fictional stat 100 final exam taken by 120 students, as given in the following relative frequency distribution: how many students (frequency) received a result of less than 60?

The required probability for the students in given interval of time is answered below.

It lets you know probability  for a specific score. To utilize one, initial transform your information into an ordinary dispersion. Then, at that point, find the matching z-score to one side of the table and adjust it to the z-score at the highest point of the table. The outcome gives you the probability.

By using table,

Probability study more than 10 hours = 1 - (.01+0.5+0.2)

⇒ 0.2

According to probability distribution table, if the sample of 10 students randomly,

1 student that less than  one hour, 5 students whose study 1 to 5 hours, 2 students that study 6 to 10 hours, and 2 students that study more than 10 hours.

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After 7 days, people will stop watching the video.

What is Substitution ?

The algebraic approach to solving simultaneous linear equations is known as substitution technique. In this process, the value of one variable from one equation is substituted in the second equation, as the name indicates.

We'll use the idea of substitution in this case.

The given equation is:-

y = -0.625x² + 5x

where x = number of days

y = number of views per day in thousands

Let's check, number of views on day 1

x=1

y = (-0.625×1²) + (5×1) = 4.375 => 4375 views

For day 2

x=2

y=(-0.625×2²)+(5×2) = 7.5 => 7500 views

For day 3

x=3

y=(-0.625×3²)+(5×3) = 9.375  => 9375 views

For day 4

x=4

y=(-0.625×4²)+(5×4) = 10  => 10000 views

For day 5

x=5

y=(-0.625×5²)+(5×5) = 9.375  => 9375 views

For day 6

x=6

y=(-0.625×6²)+(5×6) = 7.5 => 7500 views  

For day 7

x=7

y = (-0.625×7²) + (5×7) = 4.375 => 4375 views

For day 8

x=8

y=(-0.625×8²)+(5×8) = 0  => 0 views

So, on day 8 there are 0 views, which means people will stop watching video after 7 days.

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From 8th day people will stop watching the video.

given:

y = -0.625x² + 5x

where x represents the number of days

y represents the no. of views per day.

solution:

for x=1

y = (-0.625) + (5)

= 4375

for x=2

y = (-0.62 5× 2² )+ (5 × 2 )

= 7500

for x=3

y=(-0.625 × 3² ) + ( 5 × 3 )

= 9375

for x=4

y=(-0.625 × 4² ) + ( 5 × 4 )

= 10000

for x=5

y=(-0.625 × 5² ) + ( 5 × 5 )

= 9375

For x=6

y=(-0.625 × 6² ) + ( 5 × 6 )

= 7500  

For x=7

y = (-0.625 × 7² ) + ( 5 × 7 )

= 4375

For x=8

y=(-0.625 × 8²)+ ( 5 × 8 )

= 0

therefore from 8th day there will be 0 views on the video.

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The shape of the cross section is a triangle. It is always triangle if the triangular pyramid sliced from any side perpendicularly to its base. See the picture in the attachment!

A pyramid is a polyhedron that has one base and lateral faces with the vertex at the top of the pyramid. The shape of lateral faces is always a triangle. While, the shape of the base varies and is used to name the pyramid.

A triangular pyramid is a pyramid with a triangular base. It has three lateral faces.

If a triangular pyramid is sliced by a plane from any side that is perpendicular to its base, the cross section formed will be a triangle. One line is at the base and two lines are at the lateral faces. See the picture in the attachment!

Hence, the cross section formed by the slicing is a triangle.

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Answer:

Step-by-step explanation:

If the slope is parallel then it will be the same for the new equation.  All you need to find is the y intercept.

y-(-2) = -3/4(x-(-2))

so y = -3/4x -7/2

The slopes of both equations are different. Then the lines are neither parallel nor perpendicular. Then the correct option is A.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equations of the line are given as,

y - (2/5)x = 1

y = (2/5)x + 1

25y + 10x = 50

y = -(2/5)x + 2

The slopes of both equations are different. Then the lines are neither parallel nor perpendicular. Then the correct option is A.

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Answer:

Step-by-step explanation:

ect the best answer for the question. 3. Rewrite the equation x + y + 3 = –2x + 4y + 18 into standard form (ax + by = c). A. 3x –3y = 5 B. x – y = 5 C. x – y = 15 D. x + y = 5

will this help?

the probability of you win for the first time on the third trial is 8.1%

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

the probability of winning at a certain gambling game is 0.1.

p=0.1

p(x) = (1-p)² *p

= 0.81*0.1

= 0.081

Hence the probability of you win for the first time on the third trial is 8.1%

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The solution to the system of equations is ( 160/11 , -100/37 )

The value of x = 160/111

The value of y = -100/37

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

y = 15x + 9y   be equation (1)

y = 12x - 20   be equation (2)

Now , on simplifying the equations , we get

From equation (1) , we get

y = 15x + 9y

Subtracting y on both sides of the equations , we get

15x + 8y = 0

Subtracting 15x on both sides of the equations , we get

8y = -15x

Divide by 8 on both sides , we get

y = -15x/8   be equation (3)

Substitute the value of y from equation (3) in equation (2) , we get

12x - 20 = -15x/8

Multiply by 8 on both sides of the equation , we get

96x - 160 = -15x

Adding 15x on both sides of the equation , we get

111x - 160 = 0

Adding 160 on both sides , we get

111x = 160

Divide by 111 on both sides , we get

x = 160/111

Now , substitute the value of x in equation (3) , we get

y = -15x/8

y = ( -15 x 160 ) / ( 111 x 8 )

y = -100/37

Therefore , the value of x is 160/111 and value of y is -100/37

Hence , The solution to the system of equations is ( 160/11 , -100/37 )

The value of x = 160/111

The value of y = -100/37

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As per the set theory, the number of student who take math course is 800

Set:

In math, set means an organized collection of objects and can be represented in set-builder form or roster form.

Given,

Here we know that suppose that all of the 1000 first-year students at a certain college are enrolled in a math or an English course. suppose 400 are taking both math and English and 600 are taking English.

Now, we need to find the number of students who take math course.

While looking into the given question we have identified that,

Total Number of students = 1000

Number of students in both course = 400

Number of students taking English = 600

Then the number of students who take math course is calculated as

=> 1000 - 600 + 400

=> 800

Therefore, the resulting number of students is 800.

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Richard is 35 years old and Teo is 10 years old.

What is the linear function?

The difference between starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.

We have,

Richard and Teo have a combined age of 48.

Richard is 15 years older than twice Teo's age.

Let the ages of Richard and Teo be R and T years old respectively.

R +T= 48    -----(1)

R= 2T + 15   -----(2)

Substitute (2) into (1):

2T +15 +T= 48

3T +15= 48

3T= 48 -15

3T= 33

T= 33 ÷ 3

T= 10.1

Substitute T= 10.1 into (2):

R= 2(10.1) +15

R= 20.2 +15

R= 35.2

R = 35

Hence, Richard is 35 years old and Teo is 10 years old.

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According to the given statement 15600 possible options to a unique code.

A digit is a numerical unit of measurement and labeling in mathematics. The real numbers 1, 2, 3, 4, and so on constitute the first instances.

For the first password, we can choose any of the 26 numbers that are able, right? So for the first, we have 26 possible options.

For the second, we have 26 possible options minus 1 option which is already in use in the first password, so we have 26 -1 = 25 possible options here.

For the third, we also have 26 options, but we have to consider 2 unavailable options (1 in the first and 1 in the second), so we have 26 -2 = 24 options.

To finish it, we just have to multiply the possibilities of each lock:

26 * 25 * 24 = 15600 possible options to a unique code.

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Answer:

7.5 cm

Step-by-step explanation:

[tex]\frac{\ell}{5}=\frac{1}{1.5} \\ \\ \ell=7.5[/tex]

Answer:

7.5 cm

Step-by-step explanation:

7

Answer:

The answer is 44

Step-by-step explanation:

How you find your answer is you add up all of the numbers IN ORDER( you get 352) then you divide by how many numbers are it the parentheses and you get 44 as your answer.

Answer:

That's correct! Dividing the 0.45-mile path into 5 equal sections means that each section will be 0.45/5 = 0.09 miles long.

By the use of a mirror, the school is 19.38 meters tall

From the question, we have the following parameters that can be used in our computation:

From the above parameters, we have the following equivalent ratio

Distance walked from the school : Height of the school = Distance walked to the other side : Distance from her eyes to the ground

Substitute the known values in the above equation, so, we have the following representation

11.25 : Height of the school = 0.9 : 1.55

Express as fraction

Height of the school/11.25 = 1.55/0.9

So, we have

Height of the school = 11.25 * 1.55/0.9

Evaluate

Height of the school = 19.38

Hence, the height of the school is 19.38 meters

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I’m not entirely sure but i believe it’s 1.05

Answer:  She can fill up 21 packs or sets of 9

Step-by-step explanation: She has 162 then she adds 25 so that's 197 cards then we do 9 times 21 which is 189. So she has 8 left over to give to her brother.

2/9 cups of flour is required for baker if he use 1 cup of sugar.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that the baker is making cookies.

The recipe calls for 1/2 cups of flour and [tex]2\frac{1}{4}[/tex] cups of sugar.

We need to find the flour required to baker for 1 cup of sugar.

Let us form a proportional equation.

x be the flour required for 1 cup of sugar.

[tex]2\frac{1}{4}[/tex] /1/2=1/x

Apply cross multiplication

9/4x=1/2

Divide both sides by 9/4

x=1/2×4/9

x=2/9

Hence, 2/9 cups of flour is required for baker if he use 1 cup of sugar.

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Answer:

[tex] x = \dfrac{9}{8} \pm \dfrac{\sqrt{241}}{8} [/tex]

Step-by-step explanation:

[tex] x^2 + \dfrac{9}{-4}x + \dfrac{81}{64}= \dfrac{5}{2} + \dfrac{81}{64} [/tex]

[tex] \dfrac{-4x^2}{-4} + \dfrac{9x}{-4} = \dfrac{-10}{-4} [/tex]

[tex] x^2 + \dfrac{9}{-4}x + \dfrac{81}{64} = \dfrac{5}{2} + \dfrac{81}{64} [/tex]

[tex] (x - \dfrac{9}{8})^2 = \dfrac{241}{64} [/tex]

[tex] x - \dfrac{9}{8} = \pm\sqrt{\frac{241}{64}} [/tex]

[tex] x = \dfrac{9}{8} \pm \dfrac{\sqrt{241}}{8} [/tex]

Answer:

-3

Step-by-step explanation:

negative numbers get larger the closer they are to zero

Answer:

Infinitives are a special form of verbs that can be used as a noun, adjective, or adverb. They are usually made by adding the word to before the base verb, and they can be useful when discussing actions without actually doing the action, such as “I want to go home,” or “To err is human.”

Step-by-step explanation:

The purpose of infinitives is to discuss an action in general instead of a specific instance of the action being done. For example, take a look at these two sentences:

I need to win.

Today, we win.

The first sentence uses the infinitive form of the verb win as a noun; the main verb of the sentence is actually “need.” The second sentence uses the standard form of win as an actionable verb. In the first sentence with the infinitive, the action of “winning” is not actually done; the sentence simply discusses the idea of winning.  The second sentence, however, describes the action of winning.

The expected number of photons are [tex]N=1[/tex] × [tex]10^{3} m^{2}[/tex].

To put it simply, photons are basic subatomic particles that carry the electromagnetic force (and so much more). The photon is also the "quantum," or basic unit, of electromagnetic radiation.

Photons are all around us: Photons make up the light coming from the screen you're looking at, the X-rays doctors use to see bones, the radio in a car that sends out its signal, and the magnets on a refrigerator that support themselves.

Given: Total number of photons = 1 million

The graph represents the probability density of a photon being found (detected) along the horizontal x- axis.

Now, checking the graph, we will find that:

At x = 0.5, the probability of finding a photon is 1.

To get the probability density at 1 mm wide at the given x value, we will simply multiply the probability with the area under curve as follows:

[tex]P(x=0.5)[/tex] × area under curve

= [tex]1[/tex] × [tex]1[/tex] × [tex]10^{-3} m^{2}[/tex]

Now, we will get the expected number of photons as follows:

N = number of photons × area under curve

[tex]N=1[/tex] × [tex]10^{6}[/tex] × [tex]1[/tex] × [tex]10^{-3}[/tex]

[tex]N=1[/tex] × [tex]10^{3} m^{2}[/tex]

Hence, the expected number of photons are [tex]N=1[/tex] × [tex]10^{3} m^{2}[/tex].

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Answer:

3

Step-by-step explanation:

plug in 3 wherever y appears

3^2-2(3)

9-6

3

Hopes this helps

Answer:

y² - 2y = 3

Step-by-step explanation:

Given information,

→ y² - 2y

→ y = 3

Now the value of expression is,

→ y² - 2y

→ (3)² - (2 × 3)

→ 3² - 6

→ 9 - 6 = 3

Hence, value of expression is 3.

Answer: 2x + 13 = 21

Twice a number would be 2 times unknown, so that would be 2x then increased would be addition so 2x + 13 = 21

The 1st square number answer is one.

A square number is an integer that is the square of another integer. It is also referred to as a perfect square. It is the result of multiplying the number by itself. The square number is an integer with the form n×n or n², where n is any positive integer.

The square number can only end with 0, 1, 4, 6, 9, or 25.  The first ten square numbers are

1×1 = 1,

2×2 = 4,

3×3 = 9,

4×4 = 16,

5×5 = 25,

6×6 = 36,

7×7 = 49,

8×8 = 64,

9×9 = 81,

10×10 = 100.

The first square number from the above sequence is 1. Then, the answer is 1.

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The jewelry artist does not make a profit if she sells 15 necklaces at an art fair .

An inequality to show the number of necklaces, n, the artist must sell to make a profit is

12n - 135 > 4.50n , n > 15 .

We have given that

A jewelry artist is selling necklaces at an art fair.

Cost of rent a booth at the fair = $135

Cost of materials of each necklace= $4.50

Selling price of each necklace = $12

The inequality for the artist's profit is

12n>135+4.50n

where n --> number of necklaces

We have to check that if number of necklaces sold by artist are 15 then she make a profit or not .

For this we plug n = 15 and check the inequality is statisfied or not ,

12×15 > 135 + 4.50×15

=> 180 > 220 , which is not true.

So, the artist does not make a profit if she sells 15 necklaces.

She has profit when selling price is greater than cost price of necklaces.

If we take total number of necklaces are "n".

then, Total cost price of 15 necklaces= $4.50× n

= $4.50n

Total cost payed by artist = $4.50n+$135

Total selling price of 15 necklaces = $12n

Profit if S.P >C.P or $12n > $4.50n+$135

=> 12n - 135 > 4.50n , n > 15

Hence, the required inequality is that

12n - 135 > 4.50n , n > 15 .

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For an isosceles triangle has a base that measures 14 units, the length of each leg i.e y must be greater than or equal to 7 .

We have given that

let ABC is an isosceles triangle with base BC and AB = AC

The length of base of isosceles triangle, BC

= 14 units

Let "y" be the length of other side of triangle AB or AC

we have to find the possible length of y for each leg .

Using the Triangle inequality Theorem,

which states that the addition of any two sides of a triangle is greater than or equal to the third side; In symbols form , a + b ≥ c.

We have an isosceles triangle with base 14 cm

so, y + y ≥ 14

=> 2y ≥ 14

=> y ≥ 7

thus, the length of each leg of isosceles triangle must be greater than or equal to 7 units.

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The graph is attached.

An equation with the highest power of the variable, 2, is considered to be a quadratic equation.

Given is a quadratic equation, y = -x²

Plotting the equation on graph,

When x = 1

y = -1²

y = -1

When x = 2

y = -2²

y = -4

When x = 3

y = -3²

y = -9

The points are;

(1,-1), (2, -4), (3, -9)

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The effort needed to move an object along a curve that is specifically oriented. F(x, y) = (y, x) on the parabola y = 6x² from (0,0) to (2,24) is 48.

A bowl-shaped object is defined as having a curve at the surface created by the intersection of a cone and a plane that is perpendicular to a straight line. Another definition of a curve is one created when a moving point moves such that its distance from a fixed point equals its distance from a fixed line. A quadratic function is known in this form as its standard form. A parabola is a U-shaped curve that represents the quadratic function on a graph.

The given parabola is,

y = 6x²

Here consider x=t

Then,

y=6t²(0≤t≤z)

The work done by F(x, y) would be:

W=[tex]\int\limits^_c[/tex]F.dr

=[tex]\int\limits^_c[/tex]([tex]y_{i} +x_{j}[/tex])(d[tex]x_{i}[/tex]+d[tex]y_{j}[/tex])

=[tex]\int\limits^_c[/tex]y dx + x dy

=[tex]\int\limits^2_0[/tex]((6t²)(1)+(t)(12t))dt

=[tex]\int\limits^2_0[/tex]18t²dt

=48

Therefore, the effort needed to move an object along a curve that is specifically oriented. F(x, y) = (y, x) on the parabola y = 6x² from (0,0) to (2,24) is 48.

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The rate of return of the Stock A, purchased for $15 per share and sold for $340, with a commission of the sale of $6, is given as follows:

11.3%.

The Rate of Return is calculated as the different between the current value of the stock and the initial value of the stock, divided by the initial value of the stock.

20 shares were purchased at a value of $15 per share, hence the initial value of the stock in this problem is given as follows:

Initial value = 20 x 15 = $300.

The stock was then sold for $340, with a commission of $6, hence the current value of the stock is of:

Current value = 340 - 6 = $334.

Then the rate of return is calculated as follows:

Rate of return = 34/300 = 0.113.

As a percentage, the rate is given as follows:

0.113 x 100% = 11.3%.

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