Suppose we want to choose 7 objects, without replacement, from 10 distinct objects.

Answer:

The answer is 1/14 (A)

Step-by-step explanation:

Answer:

3/42

Step-by-step explanation:

Answer:

he will eat 35/64  of the whole pie

Step-by-step explanation:

i hope i helped

Answer:

so that you will multiply 15 * 4.

Step-by-step explanation:

15*4 = 60 now you divide 60 by 4 and the answer will be 15.

The inequality that represents this scenario is:

\(5 + 2.75x \le 21\)

The complete question describes the use of word problems to represent inequalities. The $21 means that there is a limit to the number of stops she can take using the train.

From the complete question, we have the following parameters:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

The inequality that represents the scenario is calculated using:

Initial Fee + Rate * Number of stops <= Amount

We use <= because the total charges must not exceed the amount.

Let the number of stops be x.

The above formula becomes

\(5 + 2.75 * x \le 21\)

\(5 + 2.75x \le 21\)

Hence, the inequality that represents this scenario is:

\(5 + 2.75x \le 21\)

Read more at:

https://brainly.com/question/16061085

Answer:

a and 5

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

To construct confidence interval for difference in proportion ; the following conditions must be met :

1.) The selected samples must have been randomly chosen or selected from a larger population. This is essential in other to eliminate bias.

Each group of samples must be independently chosen. That is, the samples of bug customers chosen must be independent of the sample of small customers selected.

The population from which the samples are drawn must be considerably larger than the sample size. Sample size, n should be ≤ 10% of the population size.

p1 = 160 / 200 = 0.8 ; (1 - p1) = 0.2

p2 = 120 / 300 = 0.4 ; (1 - p2) = 0.6

(p1 - p2) ± Zcritical * sqrt[(p1(1 - p1) /n1) + (p2(1 - p2) / n2)]

Answer: A

Step-by-step explanation:

The value of the function when x = 2 is 33.25.

A function with the formula f(x) = abˣ is an exponential function. A and b are constants, and b is a positive real integer that is greater than zero. The basis b determines how much the function increases or decreases, and x is the exponent or power that raises the base. The function shows exponential growth if b is bigger than 1, whereas the function shows exponential decline if b is between 0 and 1. Many phenomena, including population expansion, compound interest, radioactive decay, and the spread of infectious illnesses, are modelled using exponential functions.

The given function is \(f(x) = 3 +7e^{0.58x}\).

Substitute the value of x = 2 we have:

\(f(2) = 3 + 7(2.72)^{0.58(2)}= 3 + 7(2.72)^{1.16}\)

= 3 + 7(4.464)

= 33.25

Hence, the value of the function when x = 2 is 33.25.

Learn more about exponential function here:

https://brainly.com/question/12101306

#SPJ1

Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

Answer:

200

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Google told me that 20% of 1000 is 200

a) 8 vehicles are expected to use the e-zpass. b) The mode of the distribution is 9.

a)

Here it is given that 70% of vehicles use e-zpass. Since 12 vehicles are randomly selected, the above will be a case of a binomial distribution.

The number of vehicles expected to pass would be the expectation of the distribution

= no. of vehicles X probability of a vehicle having an e-zpass

= 12 X 70/100

= 8.4

= 8

b)

Here we need to find the mode of the distribution. For ths we will make use of a binomial table

In the binomial table we will look for values with n = 12 and p=0.7

Here we see that the maximum probability given is 0.24 which is in correspondence to r = 9.

Hence the mode of the distribution will be 9.

To learn more about Probability visit

https://brainly.com/question/29251004

#SPJ4

Complete Question

Image Attached

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

For more such information on: expression

https://brainly.com/question/1859113

#SPJ8

Answer:

wacha le vas a hacer x-3+21=67

Answer:

b-3

c-40

Step-by-step explanation:

Let's look at the multiplication exponent rule.

\(x^a*x^b=x^{a+b}\)

Meaning that the exponents will add together when the same base is multiplied.

\(3^4*3^5=3^{4+5}=3^9\)

Hope this helps.

頑張って!

Answer:

19683

Step-by-step explanation:

3x3x3x3= 81

3x3x3x3x3=243

81x243=19683

Money Matters is the best value for money for £750 they are giving 806.25 euros.

Customers can exchange one currency for another at a currency exchange, which is a licensed business.

The three agents are giving the money at different rates:-

Travel Exchange   =  750  x   1.1065  =   798.75 Euros

Phoenix Financial =   1.1050  x  750  =   787.5 Euros

Money Matters      =  1.1075  x   750  =    806.25 Euros

We can see that Money Matters is giving the best value for money.

To know more about Money exchange follow

https://brainly.com/question/1366402

#SPJ1

The second i.e. reflecting first across y-axis and then x -axis and the third i.e. reflecting and rotating counterclockwise about origin, sequences of transformation will map the figures.

What is transformation?

A point, line, or geometric figure can be transformed in four different ways, each of which alters the shape and/or placement of the object.

Although Image refers to the position and ultimate shape of the object, Pre-Image refers to the shape of the thing as it was before alteration.

We are given coordinate axis with two figures ABCD and EFGH.

In order to map the figures, we can reflect the figure across y - axis first and then across x - axis. This transformation will map the figure.

Also, another sequence can be reflecting the figure in origin and then rotating it 90° counter clockwise about the origin.

Hence, the second and third sequences of transformation will map the figures.

Learn more about transformation from the given link

https://brainly.com/question/29788009

#SPJ1

Hello!

7x² - 14x + 7

7(x² - 2x + 1)

= 7(x(x - 1) - 1(x - 1))

= 7((x - 1)(x - 1))

= 7(x - 1)²

Answer:

22.02

Step-by-step explanation:

If the least value of n is 4, then the inequality best shows all the possible values of n is, n ≥ 4. So Option B is correct

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The least value of n is 4,

Inequality representation = ?

It is known that,

Least value  of n is 4

So, Minimum possible value of n is 4

Maximum value of n should be more than 4,

In order to satisfy the condition,

So,

n  > 4

By combining both the things,

It can be written as,

n ≥ 4

Hence, the best inequality representation is n ≥ 4

To know more about inequalities check:

https://brainly.com/question/28823603

#SPJ1

Answer: It's number 2

(4,3,2,1,0)

Answer:

Need a figure or more information to answer this question

Answer:5.78

Step-by-step explanation: It is 5.78 bc do 40.50 divided by 7 and you will get your answer

Brainliest please???

Answer:

Each tube costs about $5.79.

Step-by-step explanation:

To find the cost of each tube, divide the total cost by the total number of toothpaste tubes.

40.50/7 = 5.785714286 which approximates to 5.79

Answer:

The next step is answer choice A

Step-by-step explanation:

This is because the last thing you need to do is connect all the points

your welcome!! <3

pls mark as brainliest!

We'll label the last point as point P. Now set up a ruler, and connect each point to draw your triangle will be the last steps to make the triangle so option (A) will be correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

We have created the last point of the triangle by intersection using a compass.

Now to make the complete triangle we need to draw lines from the last point P to A and B.

Hence "Now to make the complete triangle we need to draw lines from the last point P to A and B".

For more about triangles,

https://brainly.com/question/2773823

#SPJ6

Answer: AD=DC

Step-by-step explanation:

Answer

Help with what?

Step-by-step explanation:

Answer:

Whats the question

Step-by-step explanation:

?

Answer: for -5/6x-5>9= x<-84/5

Step-by-step explanation:

multiply both sides of the inequality by 6

= -5x - 30 >54

Move. The constant to the right hand side and change its sign

-5x > 54+30

Calculate

-5x > 54+30  = -5x > 84

Divide both sides of the inequality by -5 and flip the inequality sign

x< - 84/5

Answer:

135

Step-by-step explanation:

The measure of the angle KSO is 135°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Given that, In the diagram below of parallelogram ROCK, m angle is 70 degrees and m angle ROS is 65

We know that, opposite angles of a parallelogram are equal,

Therefore, ∠ ORK = 70°

In triangle, SRO, ∠ ORK and ∠ ROS are interior angles, and ∠ KSO is an exterior angle,

We know, The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Therefore, ∠ KSO = ∠ ORK + ∠ ROS

∠ KSO = 135°

Hence, The measure of the angle KSO is 135°

For more references on parallelogram, click;

https://brainly.com/question/29147156

#SPJ2