Two dices are thrown. Find the probabilty of getting:
A)two 5s
B) tqo odd number
c) a total of 10​

Therefore , the solution of the given problem of inequality comes out to be x > 6/5  and y > -13/5.

In mathematics, an inequality is a linear connection or a collection of numbers even when there is no equal sign. Equity always comes after equilibrium. When two numbers are not equal, inequality exists. Between equality and inequality, there exist differences. The most common symbol was chosen because when parameters aren't the same or comparable (). Values can be compared using a variety of disparities, no matter how few or numerous they are. Many fundamental inequality problems can be addressed by flipping the two aspects until only the variables are left

Here,

Given :

=> y ≤ 2x-5

=> y > -3x + 1

and

=>  y  ≤ 2x-5

=>  2x - 5  > -3x + 1

=> 2x + 3x > 1 +5

=> 5x > 6

=> x > 6/5

=> y > -3(6/5) + 1

=>  y > -18/5 + 1

=> y > -13/5

Therefore , the solution of the given problem of inequality comes out to be x > 6/5  and y > -13/5.

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Number of  more postcards she can fit on the last page is 1.

Given,

one page can hold number of post cards=4

Total number of postcards = 27

To find number of post cards her book can hold, multiply number of pages and number of  postcards.

Lets say,

2 pages can hold number of post cards = \(2*4=8\)

similarly, 7 pages can hold number of postcards =\(7*4=28.\)

It means heather can fit 28 postcards upto the 7th page of her book.

But she has 27 postcards, it means she can fit \(28-27=1\) more postcard on the last page.

Hence, heather can fit 1 more postcard on the last page.

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The lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

The mid-range or mid-extreme is the arithmetic mean of the highest and minimum values of the data set and is used in statistics as a measure of a sample's central tendency.

The difference between the greatest and minimum values, which is a measure of statistical dispersion, is strongly related to the mid-range.

The two measurements are complementary in that one can determine the sample's maximum and minimum values by knowing the range and the midpoint.

Therefore, the lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

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Step-by-step explanation:  5x3x4 15x4 The volume is 60m^3.

The measure of  given arc of circle 2.4 radians in degrees is 137.57.

According to the given question.

Arc of a circle = 2.4 radians

We have to fin dthe arc of the circle in degrees.

As,

π radians = 180 degrees

⇒1 radians = 180/π

So, to convert the radians to degrees we have to multiply the given quantity with 180/π.

Therefore, the measure of given arc of circle 2.4 radians in degrees is given by

2.4 × 180/π

= 2.4 × 180/3.14

= 0.76 × 180

= 137.57 degrees

Hence, the measure of  given arc of circle 2.4 radians in degrees is 137.57.

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An equation which can be used to model the total cost (y) for renting the cotton candy machine (x) hours is y = 18x.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneously.

In order to solve this word problem, we would assign variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Translating the word problem into an equation, we have;

y = 72/4 × x

y = 18x

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Answer:

26

Step-by-step explanation:

ab+c

plug in #s

4(6)+2

start to solve

24+2

26

Answer:

0.03×10= 10

This is easy why do u need it

Step-by-step explanation:

so x+y=2

a line would have to go 0,2 2,0

so the answer would be D

The probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles is 25.14.

To break this problem, we need to use the standard normal distribution, assuming that the distribution of tire continuances is roughly normal. We can regularize the value of 42,000 using the formula

z = ( x- μ)/ σ

where x is the value of interest( 42,000 long hauls), μ is the mean tire continuance( 40,000 long hauls), and σ is the standard deviation( 3,000 miles). Plugging in the values, we get

z = ( 42,000- 40,000)/ 3,000 = 0.67

Using a standard normal distribution table or calculator, we can find the probability that an aimlessly named tire will last further than 42,000 long miles by looking up the area to the right of z = 0.67 under the standard average wind. This probability is roughly 25.14.

thus, the probability that a tire named arbitrarily from this brand will last more than 42,000 miles is roughly 25.14.

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The correct question is given below-

A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3,000 miles. What is the probability a tire selected at random lasts more than 42,000 miles?

Answer:

7.79

Step-by-step explanation:

Answer:

John had $7.79 when he got home

Step-by-step explanation:

8.43 + 0.25-0.89

Hope this helps :)

The coordinates of the critical point is none and the coordinates of endpoints for the function f(t) = 5t^3 + 5t on the given interval (-2, 2) are (-2, -70) and (2, 70) and the function is increasing in interval (-2,2).

To use the first derivative test to locate the relative extrema of the function f(t) = 5t^3 + 5t with domain (-2, 2), we first need to find the derivative of the function:

f'(t) = 15t^2 + 5

Next, we need to find the critical points by setting the derivative equal to zero and solving for t:

15t^2 + 5 = 0
t^2 = -1/3
t = ± sqrt(-1/3)

Since the square root of a negative number is not a real number, there are no critical points in the given domain (-2, 2).

Therefore, we need to check the endpoints of the domain to determine if they are relative extrema. Plugging in t = -2 and t = 2 into the original function, we get:

f(-2) = -70
f(2) = 70

So the endpoint at t = -2 is a relative minimum and the endpoint at t = 2 is a relative maximum.

To determine the intervals of increase and decrease, we can use the first derivative test. Since the derivative f'(t) = 15t^2 + 5 is positive for all values of t in the domain, the function is increasing on the entire interval (-2, 2).

Therefore, the coordinates of the critical points and endpoints for the function f(t) = 5t^3 + 5t on the given interval (-2, 2) are:

- No critical points in the given domain
- Endpoint at t = -2 is a relative minimum, coordinates: (-2, -70)
- Endpoint at t = 2 is a relative maximum, coordinates: (2, 70)
- The function is increasing on the entire interval (-2, 2)

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The data set is the most clustered around its mean is

A.4, 10, 8, 6

To determine which data set is the most clustered around its mean, we can calculate the mean and the standard deviation for each data set.

calculate the mean and standard deviation for each data set

Data Set A: 4, 10, 8, 6

Mean: (4 + 10 + 8 + 6) / 4 = 28 / 4 = 7

Standard Deviation: √[(4-7)^2 + (10-7)^2 + (8-7)^2 + (6-7)^2] / 4 ≈ 1.58

Data Set B: 11, 3, 10, 4

Mean: (11 + 3 + 10 + 4) / 4 = 28 / 4 = 7

Standard Deviation: √[(11-7)^2 + (3-7)^2 + (10-7)^2 + (4-7)^2] / 4 ≈ 3.87

Data Set C: 2, 9, 13, 4

Mean: (2 + 9 + 13 + 4) / 4 = 28 / 4 = 7

Standard Deviation: √[(2-7)^2 + (9-7)^2 + (13-7)^2 + (4-7)^2] / 4 ≈ 4.27

Data Set D: 11, 2, 9, 6

Mean: (11 + 2 + 9 + 6) / 4 = 28 / 4 = 7

Standard Deviation: √[(11-7)^2 + (2-7)^2 + (9-7)^2 + (6-7)^2] / 4 ≈ 3.27

Comparing the standard deviations, we find that data set A has the smallest standard deviation of approximately 1.58. this indicates that the data points in Data Set A are the closest to the mean, making it the most clustered around its mean.

Therefore, the answer is A. 4, 10, 8, 6.

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Answer:

On a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1.

- sorry I answered late! but I just did the test and got a 100 :)

Answer:

y ÷ 7

Step-by-step explanation:

Quotient is code for divide.

We don't want to subtract so the first option isn't correct

We don't want to add so the second one isn't correct

We don't want to multiply so the third one isn't correct

This leaves us with our last option which is correct.

Answer:

5

Step-by-step explanation:

6/2 = 3

because the triangle is halved

use pythagorus 3²+4²=25

√25 = 5

so x=5

Answer:

2(x-5)=6x

Step-by-step explanation:

Answer: 2

Step-by-step explanation: because it timed the seconde one so that is why its 2

hope the answer helped :)

Answer: 0.2 m/s

Step-by-step explanation:

The student steps on the raft, and then he moves (with the raft) at a speed of 2.0m/s to cross the flooded street.

Then the raft moves with him, at the same speed (notice that the mass of the raft does not matter, suppose that you move at 100km/h in a small car, the speed of the vehicle would be exactly the same as if you where in a truck moving at 100km/h)

Then the speed of the raft is also 2.0 m/s.

The kind of damping that applies to the solution of the given differential equation is critical damping.

In the given equation, the presence of the term 4x indicates that there is a resistive force opposing the motion of the body. The damping is said to be critical when the damping force is just sufficient to bring the body to rest without any oscillations. In this case, the damping force is exactly balanced with the restoring force, resulting in a critically damped system.

Critical damping is characterized by a rapid but smooth approach to equilibrium, without any oscillations or overshooting. It is often desired in engineering applications where a quick return to equilibrium without oscillations is needed.

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Answer:

a=75

Step-by-step explanation:

75/15=5

Answer:

3

Step-by-step explanation: 5x3=15 15 divided by 3 is 5

True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.

The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.

The p orbitals have a  shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.

So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.

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Answer:

+1

Step-by-step explanation:

So, you just first multiply the denominator to whole then add to the numerator after that the denominator will remain the same and the numerator will be the remainder

Answer:

21.6

Step-by-step explanation:

131.6÷6

One just needs to go to his/her calculator and solve it

Answer:

  0.04566210...(8-digit repeat)

Step-by-step explanation:

The quotient of 6 ÷ 131.4 is shown in the attachment. The remainder at the bottom matches the original dividend, so the quotient will be repeating:

  \(\dfrac{6}{131.4}=0.\overline{04566210}\)

The division process starts by rewriting the problem to integer division:

  60/1314

(If you like, you could further reduce this to 10/219 by removing a common factor of 6 from numerator and denominator.)

At each stage, the quotient digit is multiplied by the divisor and the result subtracted from the dividend to get a new dividend. Careful attention to the vertical alignment of digits will help ensure that quotient digits have their proper place value.

Answer:

Step-by-step explanation:

The correct answer is d. p1=p2=p3=p4=0.25.

In a multinomial experiment, the null hypothesis specifies the values of the population proportions for each category. Therefore, options (a), (b), and (c) cannot be the null hypothesis since they specify values for the population means, not the population proportions.

Option (d) specifies that all population proportions are equal to 0.25, which is a valid null hypothesis for a multinomial experiment with four categories.

Answer:

hurt himself if he is 5 pieces away from jail in monopoly and this is his 9th time

Step-by-step explanation:

Answer:

last point

Step-by-step explanation:

because 2.25 is equal to 2.25 when you do 1.5 times 1.5

Answer:

k = - 8

Step-by-step explanation:

given that (x - a) is a factor of f(x) , then f(a) = 0

given

(x - 1) is a factor of f(x) then f(1) = 0 , that is

3(1)³ + 5(1) + k = 0

3(1) + 5 + k = 0

3 + 5 + k = 0

8 + k = 0 ( subtract 8 from both sides )

k = - 8

The equation of the line in point-slope form is written as: y + 5 = 1/5(x + 2).

We can write the equation of a line in point-slope form by substituting the value of the slope of the line, m, and the value of the coordinates of a point on the line, (a, b) into the equation y - b = m(x - a).

Given the variables below:

A point on the line (a, b) = (-2, -5)

Slope (m) = 1/5.

To write the equation of the line in point-slope form, substitute a = -2, b = -5 and m = 1/5 into y - b = m(x - a):

y - (-5) = 1/5(x - (-2))

y + 5 = 1/5(x + 2)

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