Select the statement that correctly compares two numbers. (2 points) 3.02 = 3.020 4.05 < 4.05 5.17 < 5.07 6.08 > 6.08 hurry up

The value of 'x' is highlighted in the box

Probability that x greater than or equal to 5 is 0.6 i.e., Probability that x ≥ 5 = 0.6

The probability distribution for a random variable x is given in the table.

x                |  -10       -5       0       5      10    15     20

probability | 0.20   0.15   0.05   0.1  0.25  0.1   0.15

If a random variable x has values x₁, x₂, .. ,xₙ with their corresponding probabilities given for each of them P(xₐ), then probability that x ≥ xₐ, for some a = 1, 2, .. , n is,

        P(x ≥ xₐ) = P(xₐ) + P(xₐ₊₁) +...+P(xₙ).

Here we need to find the probability that the random variable x is greater than equal to 5. So we need to add up the probabilities corresponding to the random variables x  ≥ 5.

So here, probability that x ≥ 5 is

P(x ≥ 5) = P(5) +P(10) + P(15) + P(20)

            = 0.1 + 0.25 + 0.1 + 0.15

            = 0.6

Hence Probability that x ≥ 5 is 0.6.

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The prοbability οf getting the desired οutcοme is 1/9 οr apprοximately 0.1111 (rοunded tο fοur decimal places)

In mathematics, prοbability is a measure οf the likelihοοd οr chance οf an event οccurring, expressed as a number between 0 and 1, where 0 represents an impοssible event and 1 represents a certain event. It is a fundamental cοncept in statistics and is used tο mοdel and analyze a wide range οf real-wοrld phenοmena.

The prοbability οf getting a 1 οn a single die is 1/6, and the prοbability οf getting anything but a 3 οr 4 οn a single die is 4/6 (since there are 6 pοssible οutcοmes and 3 οf them result in a 3 οr a 4).

Tο find the prοbability οf getting the desired οutcοme when rοlling twο dice, we can use the multiplicatiοn rule οf prοbability, which states that the prοbability οf twο independent events οccurring tοgether is the prοduct οf their individual prοbabilities.

Sο the prοbability οf getting a 1 οn οne die and anything but a 3 οr 4 οn the οther die is:

(1/6) x (4/6) = 4/36 = 1/9

Since there are 36 pοssible οutcοmes when rοlling twο dice, the prοbability οf getting the desired οutcοme is 1/9 οr apprοximately 0.1111 (rοunded tο fοur decimal places).

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Answer:

x = 45, y = 85

Step-by-step explanation:

In this figure we can see a Z-angle, which tells us that x = 45

In a triangle, the sum of the angles is 180 degrees,

so the unknown angle in the triangle is 180 - 45 - 85 = 50

For a straight line, the total angle is 180 degrees,

, so y + x + unknown angle of triangle = 180

since x = 45, and unknown angle of triangle = 50,

y = 180 - 45 - 50 = 85

This can also be seen when you realise that the two parallel lines give an F-angle, which tells us that Y = 85

Answer:

y = 2x+4

Step-by-step explanation:

2x - y = -4

We add y on both sides:

2x - y + y = -4 + y

so 2x = -4 + y

We now add 4 on both sides:

2x + 4 = -4 + 4 + y,

so 2x+4 = y,

so y = 2x+4

So intercept for y = 2x+4

Consider the formula,

The expression is given as,

Solve the expression as,

Thus, the given expression is evaluated as,

Answer:

250

Step-by-step explanation:

4^4+400÷(4+6^2)−2^4

256 + (400 ÷(4+36) ) -16  

256 + (400÷40) -16

256+ (400 (1/40) ) -16

256 + (400/40) -16

256 + (2 · 6) -16

256 + 10 =16

250

Answer:

–87.75

Step-by-step explanation:

Write the equation:

200 ÷ 5 • 32 + 12 – 101 = ?

PEMDAS

200 ÷ (5 • 32) + 12 – 101 = ?

(200 ÷ 160) + 12 – 101 = ?

(1.25 + 12) – 101 = ?

(13.25 – 101) = ?

–87.75 = ?

–87.75

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(b-2)x = 8

In the given equation, b is a constant. If the equation

has no solution, what is the value of b ?

Step 1

identify

b is a constant, so (b-2) is a constant too.

If the equation has no solution, it is, there is not a value of x to satisfy (b-2)x=8

Step 2

solve for x

This value becomes indeterminate when the denominator takes the value of zero,it is

so , the value of b=2 makes the equation has no solution.

Answer

A) 2

You would expect 4.5 diodes to fail. The standard deviation of the number that are expected to fail is 2.089.

The number of diodes failing, E(X), can be calculated by multiplying the population, n, with the probability, p.

n = 150

p = 0.03

E(X) = n × p

E(X) = 150(0.03)

E(X) = 4.5

Standard deviation, denoted by σ, is defined as the measure that indicates the average distance of observations from the mean of the data set.

σ = √(n x p x (1 - p))

σ = √(150 x 0.03 x (1 - 0.03))

σ = √150 x 0.03 x 0.97

σ = √4.365

σ = 2.089

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Answer:

Step-by-step explanation:

The wood is (8/9) foot long. If cut into 4 pieces, each piece would be (8/9)/4 foot long.

(8/9)/4

((8/9)(1/4)= 8/36 or 2/9 foot long for each piece.

If he sells all 4 pieces for a total of $10, he will charge $10/4) = $2.50 each.

0.578 can be expressed as a percent if we can multiply the decimal by 100%

Step 1: Multiply 0.578 by 100

To multiply by 100, we simply have to shift the decimal point by the number of zeros (twice)

0.578 x 100 = 57.8%

Answer = 57.8%

We need to find the function in slope-intercept form. We thus need the y-intercept and slope. We know there are 38000 gallons in the pool already, so the y-intercept is 38000. The pool drains 12 per minute, so the slope is -12.

y = mx + b
y = -12x + 38000

To find the time it takes to drain the pool, we need to find x where y = 0, so we set the equation to 0 and solve for x.

0 = -12x + 38000
-38000 = -12x
-38000/-12 = -12x/-12
3167 = x

Now, to fill it back up, the y-intercept is 0. We know the slope is 16, so the equation is:

y = 16x

Finally, we need to find 16x = 38000. This is simple enough.

y = 16x
38000 = 16x
38000/16 = 16x/16
2375 = x

1080 inches²  are the dimensions of the box with maximum volume .

What is rectangle?

rectangular box length = 24 inches

                       width = 45 inches

maximum volume = 24 * 45

                              = 1080 inches²

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The 96th term of the arithmetic sequence (1, -12, -25,.......) is 1234.

We are provided with the arithmetic sequence mentioned below;

1, -12, -25,...........

We know that, the rule to calculate the nth term in an arithmetic sequence is

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + ( n - 1 ) d                             equation 1

Here, d is the difference between two consecutive terms in the arithmetic sequence , [tex]a_{1}[/tex] is the first term, n is the number of terms and [tex]a_{n}[/tex] is the nth term.

We have,

n = 96

[tex]a_{1}[/tex] = 1

d = -12 -1 = -13

Now, substitute these values in equation 1 i.e, formula of arithmetic sequence and on substituting we will get

[tex]a_{96}[/tex] = 1 + ( 96 - 1 ) ( -13 )

[tex]a_{96}[/tex] = 1 - (95) (13)

[tex]a_{96}[/tex] = 1 - 1235

[tex]a_{96}[/tex] = 1234

So, we can conclude that the 96th term of the arithmetic sequence  is 1234.

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The domain of the function would be a positive integer.

So option 1) positive integer is correct.

Domain of a function is the set of values accepted by the function.

So in this question the value is always a integer.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function if it successfully allows the production of a single value y using another value for x.

And the model is made to determine the amount of money spend to complete the project.

We can't define money in negative term.

So it must be a positive integer.

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The number of engineering students for 750 college students will be 176 students

Number of engineering students: 19

The number of total students for 19 engineering students = 81 students

Percentage: A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.

Percentage of engineering students in relation to the total students = Number of engineering students/ Total students*100

= 19/81*100

= 23.45%

So, for 750 students the number of engineering students will be

= 23.45% of 750

= 23.45/100*750

= 175.87 or 176 students

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Answer:

tan θ = 4.5

Step-by-step explanation:

tan = opposite/adjacent

The opposite of θ is 45 cm long

The adjacent of θ is 10 cm long

tan θ = 45 / 10 = 4.5

The solution is: the value of tan is : tan θ = 4.5.

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

Here, we have,

we know,

tan = opposite/adjacent

from the given diagram, we get,

given that,

The opposite of θ is 45 cm long

The adjacent of θ is 10 cm long

so, we get,

tan θ = 45 / 10

        = 4.5

Hence, The solution is: the value of tan is : tan θ = 4.5.

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[tex]6(y) + 6( -5 ) = 18 - 2y \\ 6y - 30 = 18 - 2y \\ 6y + 2y = 18 + 30 \\ 8y = 48 \\ \frac{8y}{8} = \frac{48}{8} \\ y = 6[/tex]

ATTACHED IS THE SOLUTION

When analyzing research data, if the difference between group a and group b did not happen by chance and the data showed a real difference, the results are called statistically significant.

Statistically significant results occur in a research data when the difference between two groups is not likely to occur on its own, without the benefit of the independent variable. Statistically significant findings suggest that the researchers' outcomes are unlikely to be a result of chance, and that there is a relationship between the variables under investigation in the larger population. In such cases, the research usually rejects the null hypothesis and accept the alternative hypothesis.

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The equation of the circle in standard form is (x + 5)² + (y)² = 9/4.

The general representation of the equation is:

(x-h)² + (y-k)²= r²

Where (h,k) is the coordinates of the center of the circle and r is the radius.  And x and y are the corresponding x and y values of the point the circle passes through

Since we have the coordinate of the center as (-5,0)  and the circle passes through (-5, 3/2). Therefore:

h = -5, k = 0, x = -5 and y = 3/2

Let's put these values in the formula.

(x-h)² + (y-k)²= r²

(-5 - (-5) )² + (3/2 - 0)² =  r²  

(-5 + 5)² + (3/2)²= r²

(0)² + (3/2)²= r²

(3/2)² = r²

r = 3/2

Putting radius, r = 3/2,   h = -5 and k = 0 back into the formula wiil give:

(x + 5)² + (y - 0)²= (3/2)²

(x + 5)² + (y)² = 9/4

Therefore,the standard form of the equation of the circle is (x + 5)² + (y)² = 9/4.

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Answer: 72

Step-by-step explanation:

The average is 90.

To calculate the average, you add the grades and divide by the total amount of them. The number of grades is 5. We need to know what value of x satisfies the following equation:

[tex]90 = \frac{96+90+87+95+x}{5}[/tex]

To solve the equation, we first multiply each side by 5, netting:

450 = 96 + 90 + 87 + 95 + x.

Then we subtract each grade from each side.

450 - 378 = 378 - 378 + x

72 = x

The journal entry will be prepared thus:

Date General Journal Debit Credit

2-Aug

Cash $540

Unearned Service Revenue  $378

Sales Revenue  $162

2-Aug

Cost of goods sold $105

Inventory  $105

3-Aug

Accounts receivable $550

Sales revenue  $550

3-Aug

Cost of goods sold $450

Inventory  $450

6-Aug

Sales return (550/5) $110

Accounts receivable  $110

6-Aug

Inventory $90

Cost of goods sold (450/5)  $90

10-Aug

Unearned service revenue $126

Service Revenue  $126

(378/3 = 126 each)  

20-Aug

Cash $350

Sales revenue  $350

20-Aug

Cost of goods sold $121

Inventory  $121

22-Aug

Cash $440

Accounts receivable $440

A journal entry is the act of recording any transaction, whether one that is economic or not.

An accounting diary that displays the debit and credit balances of a corporation lists transactions. Multiple recordings, each of which is either a debit or a credit, may be included in the journal entry.

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Aug.2 Sold a bundle of spa services with a merchandise basket. When sold separately, the spa service part of the bundle sells for $420 and the merchandise basket normally sells for $180. Together, the bundle was sold to Val Amy for cash at a selling price of $540 (total). Val booked a spa treatment for August 10, and she took the basket of goods with her. The goods had cost NGS $105.

Aug.3 Sold 5 identical items of merchandise to Cosmetics R Us on account at a selling price of $550 (total); terms n/30. The goods cost NGS $450.

Aug.6 Cosmetics R Us returned one of the five items purchased on August 3. The item could still be sold by NGS in the future and credit was given to the customer.

Aug.10 Val Amy used one of the three spa treatments she had purchased as part of the bundle sold to her on August 2.

Aug.20 Sold two at-home spa kits to Meghan Witzel for $350 cash. The goods cost NGS $121.

Aug.22 Cosmetics R Us paid its remaining account balance in full.

Prepare all journal entries

Two decimals are 0.34, 0.83, and 0.83 and Holland could have used it to make a sum of 2.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

We get x + x = 2x by using x to signify our missing values and the assumption that there are two missing values. We obtain the equation 2x + 0.34 since it is the product of these integers and 0.34; after setting it equal to 2, 2x + 0.34 equals 2.

First, take 0.34 off both sides to get 2x = 1.66. To get x = 0.83, divide both sides by 2 now.

Therefore, the decimals are 0.34, 0.83, and 0.83.

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When we want to find the slope of a line, we divide its increase on the [tex]y[/tex]-axis by its increase on the [tex]x[/tex]-axis. In other words, we look at its [tex]tan(a)[/tex]. As you can see in the photo, I chose two points that exactly intersect the axes and connected them in a right triangle. I then divided the increase in the [tex]y[/tex]-axis ([tex]3[/tex]) by the increase in the [tex]x[/tex]-axis ([tex]4[/tex]). Since the line slopes to the right, its sign will be positive. Also, this line intersects the [tex]y[/tex]-axis [tex](x=0)[/tex] at [tex]1[/tex].

Answer:

81, 100, 25, 4

Step-by-step explanation:

The square root of each of these numbers is whole

Answer:

these are the perfect squares

Step-by-step explanation:

The probability that the nurse will find the two patients is P =  0.49.

We know that the probability that the nurse finds the client on a particular day is 0.7

So, each time that the nurse goes that a home, that probability is the same and is independent of what happened before.

So if the nurse goes to two houses, the probability that she will find the client on the first home is 0.7

And the probability that she will find the client on the second home is 0.7

Then the joint probability (the product of the two individual ones) is:

P = 0.7*0.7 = 0.49

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The equation of the linear function represented in the table in slope intercept form is y = 7x -2

A linear function can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the table follows a linear pattern.

Hence, using (0, -2)(1, 5) we can find the slope and the y-intercept of the linear function.

Therefore,

m = 5 - (-2) / 1 - 0

m = 5 + 2 / 1

m = 7

Therefore, let's find the y-intercept using (0, - 2).

y = mx + b

-2  = 7(0) + b

hence,

b = -2

Therefore, the slope intercept form of the table is y = 7x - 2

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