Which expressions are equivalent to 4b
?

Binomial probability distribution for the given set of data is

[tex]100C_x (0.20)^x (0.80)^{100-x}[/tex]

What is binomial probability distribution?

"Binomial probability distribution is the representation of  a probability with only two outcomes success and failure under given number of trials."

Binomial probability distribution is given by

[tex]nC_x p^x q^{n-x}[/tex]

n= number of experiments

x = 0, 1, 2, 3,.......

p = probability of success

q = probability of failure

According to the given question

Number of trials  'n' = 100

Probability of success 'p' = (20 / 100)

                                          = 0.20

Probability of failure 'q' = 1 - p

                                       = 1 - (20/100)

                                       =  (80 / 100)

Substitute the value in the formula we get

Required probability = [tex]100C_x (0.20)^x (0.80)^{100-x}[/tex]

Example:

Tossing a coin 6 times getting exactly two heads.

Number of trials 'n' = 6

Number of heads 'x' =2

Only two possible outcomes head or tail

Probability of getting head 'p' = 1 / 2

Probability of not getting head 'q' = 1 /2

Required probability = [tex]6C_2[/tex] (1/2)²(1/2) ⁶⁻²

                                  = [tex]6C_2\\[/tex] (1/2)⁶

Hence, binomial probability distribution for the given set of data is

[tex]100C_x (0.20)^x (0.80)^{100-x}[/tex]

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Answer: I believe f(-1) will be -1

Step-by-step explanation:

You'll notice that f(x) is increasing by 7, so instead of adding 7 subtract 7.

Extend the table to the left having the (x) go down

If she moves at a speed of 1.33 miles per minute while walking 4 miles in 3 minutes, she can cover 20 miles in 15 minutes.

A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

Here,

In 3 minutes, she walk 4 miles,

speed=distance/time

=4/3 miles/minute

distance=speed*time

=4/3*15

=20 miles

She can walk 20 miles in 15 minutes if she walks 4 miles in 3 minutes with a speed of 1.33 miles/minute.

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Value of x shows that the lines parallel is x=60°

What is transversal and parallel line?

From the figure attached we can se that ∠A+ 2x+10= 180°

and ∠B+x-10 =180°

and we know that the is transversal line so ∠A=x-10 & ∠B=2x+10

There fore x-10 +2x+10 =180 °

3x=180°

x=60°

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Yes, g(x) is a 3 unit translation down after a reflection of f(x) over the x-axis.

The set of ordered pairs with the f(x) = y is the graph of a function f in mathematics. These pairs, which are Cartesian coordinates of points in two-dimensional space and thus constitute a subset of this plane in the typical case where x and f(x) are real numbers, are examples of real numbers.

Pie charts, line graphs, bar graphs and histograms, and Cartesian graphs are likely the four most popular types. They are typically utilized for, and are most effective for, very different purposes. You'd employ: Bar graphs are used to display numbers that are unrelated to one another.

Use line/area charts if your data is continuous, or bar charts or histograms if your data is nominal. Use a scatter plot, bubble chart, or line chart to illustrate how the values in your dataset relate to one another.

y = −f(x) Reflects it about x-axis

y = f(x) + C   C < 0 moves it down

The complete question is:

Consider the function f(x) = x3 + 0.5x – 1. Marjan needs to graph f(x) and g(x) = –f(x) – 3. His graphs are shown below. Which statement describes whether Marjan’s graphs are correct? No, the reflection should be over the x-axis, not the y-axis. No, the reflection should be over the y-axis, not the x-axis. Yes, g(x) is a reflection of f(x) over the y-axis followed by a translation of 3 units down. Yes, g(x) is a reflection of f(x) over the x-axis followed by a translation of 3 units down.

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The simplified form of the expression is  5x^3y^3(3x − 9y)

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operators.

between 15 and 45  the common factor is 5

between x^3 and x^4 common factor is x^3

between y^3 and y^4 common factor is y^3

Multiplying the common factors together e have 5x^3y^3

so that the expression becomes  5x^3y^3(3x - 9y)

In conclusion the 5x^3y^3(3x - 9y) is the other form of the expression with their common factors.

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Answer:

The simplified form of the expression is  5x^3y^3(3x − 9y)

Step-by-step explanation:

False, the zip codes of a sample of 345 customers at pet shop are not an example of qualitative variables

The zip codes of a sample of 345 customers at a pet shop are an example of quantitative variables because they are numerical values that can be measured and compared. Qualitative variables, on the other hand, are categorical variables that describe a characteristic or attribute of a person, place, or thing, such as gender, color, or nationality. They cannot be measured numerically and are often described using words or labels.

Qualitative Variables: Qualitative variables are variables that are not numerical or quantifiable. Examples of qualitative variables include gender, race, eye color, ethnicity, nationality, marital status, and religious preference.

Quantitative Variables: Quantitative variables are variables that are numerical or quantifiable. Examples of quantitative variables include height, weight, age, income, income level, GPA, number of children, and number of hours worked.

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The height of the stone before it is dropped is 4.64 feet, and the time taken to hit the ground is 3.94 seconds.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

The function y =  - 16t² + 248

Calculate the value of t when f(t) = 0.

0 = -16t² + 248

t² = = 248 / 16 = 15.5

t = √15.5 ≈ 3.94  Seconds

Calculate the height at t = 3.94

y = -16 × 3.9² + 248

y = -243.36 + 248

y = 4.64 feet

Therefore, the height of the stone before it is dropped is 4.64 feet, and the time taken to hit the ground is 3.94 seconds.

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The residual for each of the coordinate pairs, (x, y) are-

a) -3.1; b) -0.2; c)  0.32; d) 0; e) -0.1; f) -6.96.

For the stated question;

Data is given by the line of best fit as;

y = 1.1x + 3.4

Then, the residual for the given coordinates are found as;

Residual = y - (1.1x + 3.4)

a. (5,8.8)

Residual = 5.8 - (1.1(5) + 3.4)

Residual = -3.1

b. (2.5,5.95)

Residual = 5.95 - (1.1(2.5) + 3.4)

Residual = -0.2

c. ((0,3.72)

Residual = 3.72 - (1.1(0) + 3.4)

Residual = 0.32

d. (1.5,5.05)

Residual = 5.05 - (1.1(1.5) + 3.4)

Residual = 0

e. (-3,0)

Residual = 0 - (1.1(-3) + 3.4)

Residual = -0.1

f. (-5,-4.86)

Residual = -4.86 - (1.1(-5) + 3.4)

Residual =  -6.96

Thus, the residual for each of the coordinate pairs, (x, y) are found.

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A. The fastest bird is the spin-tailed swift and the slowest bird is the mallard.

B. the dive speed of the peregrine falcon is faster than any other birds given in the question.

What is speed?

The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

Here, we have

A.  the speed of a spin-tailed swift is 2843.2m/min.

We have to convert the speed to m/sec.

From above we know that,

1 min = 60 sec

2843.2 m/min = 2843.2m/1minm

2843.2/60 = 47.386m/sec

2843.2 m/min = 47.386m/sec            

The speed of a spur-winged goose is 129.1ft/sec.

We have to convert the speed to m/sec.
From above we know that,

1ft = 0.3048m

129.1ft/sec = 129.1/1sec

129.1ft/sec = 39.349m/sec

Hence, from the above, we can say that the fastest bird is the spin-tailed swift and the slowest bird is the mallard.

B. From part (a) we get,

The speed of the different birds in m/sec is given below:

Spine tailed swift

2843.2m/min = 47.386m/sec

Spur-winged goose

129.1ft/sec = 39.349m/sec

Eider duck

31.3m/sec

Mallard

65mi/h = 29.051m/sec

The dive speed of the peregrine falcon is

322km/h = 322km/1h

              = 322(1000)m/1(3600)sec

             = 89.444m/sec

Hence, the dive speed of the peregrine falcon is faster than any other bird given in the question.

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Answer:

I’m fat

Step-by-step explanation:

eat food, then sleep

Answer:

Gary would weigh 176 ounces.

Step-by-step explanation:

One pound is sixteen ounces so just multiply sixteen and 11. ( 16 * 11 = 176 )

I hope this helped you! Have an amazing day :)

Answer: 176 ounces

Step-by-step explanation:

To convert pounds to ounces, multiply the initial value by 16. Since we have  the weight of Gary's cat as 11 pounds, their weight in ounces should be 11 * 16 = 176 ounces.

The value of x is 1

Given that,

AB=DE

AC=DF

∠CAB=∠FDE

So by the triangle property of SAS, ΔABC and the ΔDEF are equal means ΔABC≅ΔDEF.

And we know that if two triangles are equal then by their properties their respective sides and angles will also be equal to each other.

So we can write that,

⇒13x-12=7x-6

⇒13x-7x=12-6

⇒6x=6

⇒x=1

Therefore the value of x is 1.

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The necessary phrase will be s≥150 because the bullet train's cruising speed will be greater than 150 mph.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A group of numbers that have been written together using the arithmetic operations addition, subtraction, multiplication, and division is known as a numerical expression in mathematics. The number can be stated in a variety of ways, including verbally and numerically.

Here,

No less than" means "greater than or equal to" (≥).  

So you want s to be greater than or equal to 150 mph.  

s≥150

The required expression will be s≥150 as the cruising speed of the bullet train will be in excess of 150 miles per hour.

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The probability that the number in a sample of 127 who do so differs from the expected value is 0.6198.

How to calculate probability?

The critical value, according to the data, is 84. the following will be the mean:

= np = 127 × 2/3 = 84.6

The standard deviation is also 5.3748. The corresponding z score will be:

= (84 - 86.67)/5.3748

= -0.50.

Therefore, the left tailed area will be:

P(z < -0.50) = 0.3099

Since, it's two tailed, we'll multiply by 2. This will be:

= 2 × 0.3099

= 0.6198

In conclusion, the probability is 0.6198.

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Answer: 200

Step-by-step explanation: first we will turn this into an equation

x/5=40, then we need to isolate the variable by multiplying both sides by 5.

x = 200

The partial derivative dy/dx at x = e is given as follows:

[tex]\frac{dy}{dx}(e) = -\frac{2}{e}[/tex]

The function in this problem is defined as follows:

y = tan(u).

The function y is a function of the variable u, which is a function of the variable v, which is a function of variable x, then the function of variable x can be written as follows:

[tex]y = \tan{\left(\ln{x} - \frac{1}{\ln{x}}\right)}[/tex]

Then, applying the chain rule, the derivative is the derivative of the outer tangent function multiplied by the derivative of the inner ln function.

The inner function is of:

[tex]\ln{x} - \frac{1}{\ln{x}}[/tex]

Which has a derivative of:

[tex]\frac{1}{x} + \frac{1}{x\ln^2{x}}[/tex]

The outer tangent function has a derivative of:

-sec²(x).

Then the complete derivative is of:

[tex]\frac{dy}{dx} = -\sec^2{\left(\ln{x} - \frac{1}{\ln{x}}\right)} \times \left(\frac{1}{x} + \frac{1}{x\ln^2{x}}\right)[/tex]

At x = e, the numeric value of the derivative is given as follows:

[tex]\frac{dy}{dx}(e) = -\sec^2{0} \times \frac{2}{e}[/tex]

[tex]\frac{dy}{dx}(e) = -\frac{2}{e}[/tex]

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Answer:

Below

Step-by-step explanation:

There are three ATOMS in each MOLECULE H2 O    

                                   (two hydrogen one Oxygen)

Each mole of MOLECULES = 6.022 x 10^23

     6.022 X 10^23     X 3  = 1.81 x 10^24 atoms

Answer: The perimeter is 34 cm

Step-by-step explanation:

14cm + 14cm = 28cm

3cm + 3cm = 6cm

28cm + 6cm = 34 cm

Answer:

34

Step-by-step explanation:

Perimeter is equal to :

Length + length + width + width

So theres two ways we can do this:

2(14) + 2(3)

OR

14 + 14 + 3 + 3

either way, solving will give us an answer of 34

Yes, it is possible for a line to be tangent to a circle at a point.

If a line is tangent to a circle at a point, it means that the line touches the circle at that point but does not intersect the circle at any other point. The line is perpendicular to the radius of the circle at the point of tangency.

In this case, the line QR is tangent to circle P at point Q. This means that the line QR touches the circle P at point Q, but does not intersect the circle P at any other point. The line QR is also perpendicular to the radius of circle P at point Q.

In below diagram QR is tangent to circle P at point Q. The line QR is perpendicular to the radius of circle P at point Q, indicated by the right angle at Q.

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The length of g 1029.8 in the given  ΔFGH.

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

The Law of Sines (or Sine Rule) is very useful for solving triangles:

[tex]\frac{a}{sinA} = \frac{b}{sinB} + \frac{c}{sinC}[/tex]

840 / sin(38) = g /sin(49)

g = (840 / sin(38) ) *sin(49)

g= (840/0.615) *0.754 = 1029.8

Hence, the length of g 1029.8 in the given  ΔFGH.

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The value of Priya's investment at end of the year is Rs. 24300.

The formula for simple interest is given by

Where, P = Principal amount, T = Time period, and R = Rate of interest  

And the formula for the Amount at end of the time period is given by

Here we have

Priya invests a sum of money at an interest rate of 8% per annum

The interest that she gained after 1 year = 1800 Rs.

Let P be the principal amount i.e Priya's investment

Then calculate Simple interest on P at 8% for 1 year

As we know Simple interest = PTR/100    

Interest on P = P(1)(8)/100 = 0.08P

From the given data, interest at end of the year = Rs. 1800

=> 0.08P = 1800

=> P = 1800/0.08

=> P =  22500  

The amount that Priya invested = Rs. 22500

As we know Amount = Principal amount + interest

= Rs. 22500 + Rs. 1800

= Rs. 24300  

Therefore,

The value of Priya's investment at end of the year is Rs. 24300.    

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Answer: Yes, they receive more than $82 for their job

Step-by-step explanation:

First, take 70 times 0.05% = $3.50

Then add them to equal $73.50 is their charge for the job!

Now it says that the homeowner tip 15%

So take 73.50 times 0.15% = $11.03

Then add 73.50 with 11.03 = $84.53

Yes, they receive more than $82 for their job

Answer:

186- none of those answers are correct, the right answer is one hundred eighty six miles

Step-by-step explanation:

623

-437

____

186

Answer:

The difference in the number of miles run by Kiki during practice is 186 miles.

Step-by-step explanation:

Given that Kiki runs 437 miles during the first week of track practice and she runs 623 miles during the second week of track practice.

The difference in miles will be:

= 623 - 437 = 186 miles.

The x-coordinate of the point i.e. 3/4 of way from R to S is 3/7, using the segment formula.

What is segment formula ?

Segment formula is the easiest way to find x and y coordinate of a point when ratio of distances over end point is given i.e.:

Let the coordinate of point P(x, y) dividing the line segment joining the points A(x1 , y1) and B(x2 , y2) internally in ratio m1:m2 then

x= [tex]\frac{m1x2+m2x1}{m1+m2}[/tex]

y = [tex]\frac{m1y2 + m2y1}{m1+m2}[/tex]

using given information,

Let R is 1st point and S is 2nd point ,

3/4 is the ratio so,

m1 = 3,

m2 = 4

x1 = -3

x2 = 5

y1 = -3

y2 = 2

Putting values in above formula for x,

we get

x = 3/7

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Dimensions of the rectangular garden are 45 yards each and area with  the calculated dimensions are 2025 square yards.

As given in the question,

Perimeter of the rectangular garden is equal to 180 yards

Let 'x' be the length and 'y' be the width of the rectangular garden

2 ( x + y ) = 180

⇒ x + y = 90

⇒ y = 90 -x

Area of the rectangular garden 'A' = xy

⇒ A = x ( 90 - x)

⇒ A = 90x - x²

To maximize the area dA/dx = 0

dA/dx = 90 - 2x

⇒ 90 - 2x = 0

⇒ 2x = 90

⇒ x = 45 yards

⇒ y = 45 yards

Area of the rectangular garden = 45 × 45

                                                 = 2025 square yards

Therefore, the dimensions of the garden are 45 yards each and area of the rectangular garden is equal to 2025 square yards.

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The constructors that have an empty parameter are known as non-parameterized constructors.

What is non-parameterized constructors?

Non-parameterized constructors are those that only have one parameter, which is empty. Depending on the user, they are used to set the object's initial values to either specific constants or default values.

What is a parameterized constructor?

When a constructor takes a certain quantity of parameters, it is referred to as a parameterized constructor. to initialize class data members with unique values.

What does it mean to be parameterized and not?

These methods have a list of parameters or arguments that are passed a value by the caller method.

                                  Methods that are not parameterized: These methods have no parameter list. Without passing any values to the function, the programmer can just call it.

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The conclusion that can be made from the given observations is that the dew factor temperature is 90% of the air temperature.

Humidity is the quantity of water vapor withinside the air. If there is lots of water vapor withinside the air, the humidity might be high.

The temperature have to upward push so as for air to come to be saturated with water vapor.

The air holds little water vapor and is rather dry.

The quantity of water vapor withinside the air is 90% of what the air can hold.

The dew factor temperature is 90% of the air temperature.

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Answer:

60?

Step-by-step explanation:

15/0.25

Answer:

Jeff took 60 total shots.

Answer:

A) They have the same y intercept and the same rate of change

Step-by-step explanation:

Write the equation for the line passing through the points (2,4) and (12,7)

Slope [tex]\frac{7-4}{12-2}[/tex] = [tex]\frac{3}{10}[/tex] = .3

y intercept  (b)

y = mx + b

Use 2 fox x, 4 for y and .3 for m

y=mx + b

4 = .3(2) + b

4 = .6 + b    Subtract .6 from both sides

3.4 = b

The equation is

y = .3x + 3.4

The two equation are identical so the slope and y intercepts are the same.

compare the y-intercept and the rate of change of the following items. Option (d) The rates of change are the same, but the y-intercepts are different. is correct.

for rates,

we will find the slope of I and II

slope = dy/dx = change in y/change in x

for both of them when we compare the slope, it is 0.3.

for y-intercepts.

equation for II should be formed in order to compare with the y-intercept of I which is  3.4.

y-7=0.3(x-12) .................(i)

so, the y-intercept is 7 for II

thus, the y-intercepts of given eq are not equal.

Answer:

D

Step-by-step explanation:

The line of best fit is a line that represents the “average” between all of the points. It’s typically in the middle of all of the points. In this case, I’d go with D because 4 points lie on the line of best fit and the line trends sharply upwards, following the general direction of the points.