Blaine drives for Uber. On any given day Blaine averages $200 in earnings with a standard deviation of $25. After 50 days, what is the probability that Blaine earns more than $10,100

The simplified fοrm οf the inequality is  -5x < -10.

The term "inequality" is used in mathematics tο describe a relatiοnship between twο expressiοns οr values that is nοt equal tο οne anοther. Inequality results frοm a lack οf balance. When twο quantities are equal, we use the symbοl '=', and when they are nοt equal, we use the symbοl. If twο values are nοt equal, the first value can be greater than (>) οr less than (), οr greater than equal tο () οr less than equal tο ().

Here the given inequality is,

=> 7-2( x + 2) <-4 - 3(1 – x)

Nοw simplifying the inequality then,

=> 7-2( x + 2) <-4 - 3(1 – x)

=> 7-2x-4 < -4-3+3x

=> 3-2x < 3x-7

=> -2x -3x < -7-3

=> -5x < -10

Hence the simplified fοrm οf the inequality is  -5x < -10.

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a. The probability that the selected country won greater than 50 medals is 0.0348

b. The probability that the selected country did not win greater than 100 medals is 0.988

c. The probability that the selected country won 10 or less is 0.744.

d. The probability that the selected country won in between 11 and 50 is 0.22

Given that,

There are total 86 countries who won medals at the Olympics in some years.

From the given countries and medal we find

a. We have to find what is the probability that the selected country won more than 50 medals.

The country won greater than 50 medals = The countries won between 51 and 100 medals + The country won more than 100 medals

= 2+ 1 = 3

The probability is

= \(\frac{3}{86}\)

= 0.0348

Therefore, The probability that the selected country won greater than 50 medals is 0.0348

b. We have to find what is the probability that the selected country did not win more than 100 medals.

The country did not win more than 100 medals = Total countries - the countries won more than 100 medal

= 86 - 1 = 85

The probability is

= \(\frac{85}{86}\)

= 0.988

Therefore, The probability that the selected country did not win greater than 100 medals is 0.988.

c. We have to find what is the probability that the selected country won 10 or fewer medals.

The countries won 10 or fewer medals = 10 + 54 = 64

The probability is

= \(\frac{64}{86}\)

= 0.744

Therefore, The probability that the selected country won 10 or less is 0.744.

d. We have to find what is the probability that the selected country won between 11 and 50 medals.

The countries won between 11 and 50 medals = 4 + 5 + 10 = 19

The probability is

= \(\frac{19}{86}\)

= 0.22

Therefore, The probability that the selected country won between 11 and 50 medals is 0.22

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a. The percentage of employees who will experience lost-time accidents in both years is approximately 0.72%.

b. The percentage of employees who will suffer at least one lost-time accident over the two-year period is approximately 8.72%.

To solve this problem, we'll use conditional probability and basic probability principles.

Let's assume that there are 100 employees in the Brownsville, Texas, plant for ease of calculation.

a. What percentage of the employees will experience lost-time accidents in both years?

According to the historical records, 9% of the employees had lost-time accidents last year. Therefore, the percentage of employees who will experience lost-time accidents in both years is the product of the probabilities of having a lost-time accident in each year.

Probability of having a lost-time accident last year = 9% = 0.09

Probability of having a lost-time accident this year = 8% = 0.08

Probability of having lost-time accidents in both years = 0.09 * 0.08 = 0.0072

Converting this to a percentage: 0.0072 * 100 = 0.72%

Therefore, approximately 0.72% of the employees will experience lost-time accidents in both years.

b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?

To calculate the percentage of employees who will suffer at least one lost-time accident over the two-year period, we need to consider two cases: those who had a lost-time accident last year and those who did not.

Case 1: Employees who had a lost-time accident last year (9% of the employees):

According to the problem statement, 16% of those employees who had a lost-time accident last year will have a lost-time accident during the current year. Therefore, the percentage of employees who will have lost-time accidents in both years among this group is:

Percentage of employees having lost-time accidents in both years (among those who had a lost-time accident last year) = 16% of 9% = 0.16 * 0.09 = 0.0144

Case 2: Employees who did not have a lost-time accident last year (91% of the employees):

For employees who did not have a lost-time accident last year, the probability of having a lost-time accident this year is 8% = 0.08.

Percentage of employees having a lost-time accident this year (among those who did not have a lost-time accident last year) = 0.08 * 91% = 0.0728

Now, let's calculate the total percentage of employees who will suffer at least one lost-time accident over the two-year period by adding the percentages from both cases:

Total percentage of employees suffering at least one lost-time accident = Percentage in Case 1 + Percentage in Case 2

= 0.0144 + 0.0728

= 0.0872

Converting this to a percentage: 0.0872 * 100 = 8.72%

Therefore, approximately 8.72% of the employees will suffer at least one lost-time accident over the two-year period.

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Answer: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]

Step-by-step explanation:

What is the formula for calculating mortgage payments?

These factors include the total amount you're borrowing from a bank, the interest rate for the loan, and the amount of time you have to pay back your mortgage in full. For your mortgage calc, you'll use the following equation: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1].

Answer: \(x= 187.5p\)

Step-by-step explanation:

Given : An equation relating packets to bytes of information : \(b = 1,500p\) where p represents the number of packets and b represents the number of bytes of information.

1 byte = 8 bits

Let x= Number of bits such that 1 b = 8x

Put b = 8x in given equation , we get

\(8x=1500p\)

Divide both sides by 8 , we get

\(x= 187.5p\)

Hence, the equation represent the relationship between the number of packets and the number of bits : \(x= 187.5p\)

Answer:

x=12000p

Step-by-step explanation:

It is Right

I Fink

The inequalities that are  true are 5 +2w > -7 and -3 - 5w < -14

We need to find all the inequality that has a solution of w  = -4

For the inequality 2 - w < -3

-w < -3 - 2

-w < -5

w > 5

For the inequality 5 +2w > -7

2w > -7 - 5

2w > -12

w > -6

Since -4 is greater than -6 hence 5 +2w > -7 is TRUE

For the inequality 1 - 2w > 13

-2w > 13 - 1

-2w > 12

w < -6

For the inequality -3 - 5w < -14

-5w < -14 + 3

-5w < -11

w > 11/5

For the inequality -5 - 4w > 10

-4w  > 10 + 5

-4w > 15

w < -15/4

w < -3.75

For the inequality -9 - 3w < 2

-3w < 2 + 9

-3w < 11

w > -11/3

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Answer:

(3,2)

Step-by-step explanation:

X coordinate first, then y. (Have to crawl before you walk, x is down and y is up, so thats a good reminder.) And the garbage can is on that cooridinate so uh, yah. Hope this helps, have a nice day.

Answer:

Step-by-step explanation:

I Think the garbage dump is located where the Garbage can is. Its location is

x = 3

y = 2

or (3,2)

For given random sample the 95% confidence interval is (0.509, 0.749) with Lower Limit = 0.509 and Upper Limit = 0.749

We know that the point estimate is the proportion of success in the sample.

From the data given

p = 39/62

So, p = 0.629

The point Estimate is 0.629

The confidence interval for true proportion is \(p\pm z_{\alpha /2}\sqrt{\frac{p(1-p)}{n} }\)

For 95 % ,

z = 1.96

p =0.629

1 - p = 0.371

Substituting the values, the confidence interval would be,

\(( 0.629- 1.96\sqrt{\frac{0.629(0.371)}{62} } , 0.629+1.96\sqrt{\frac{0.629(0.371)}{62} } )\)

= (0.629- 1.96(0.061), 0.629+ 1.96(0.061))

= (0.629- 0.12, 0.629+0.12)

= (0.509, 0.749)

Therefore, for given random sample the 95% confidence interval is (0.509, 0.749) with Lower Limit = 0.509 and Upper Limit = 0.749

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The length and width of the bar will be 10.5 inches and 5.7 inches.

It is important to note that the area of a rectangle is illustrated as:

= Length × Width

Based on the information given,

Width = w

Length = 2w - 0.9

Area = 59.85

Therefore, area = length × width

The values will be put into the formula:

w(2w - 0.9) = 59.85

2w² - 0.9w = 59.85

Equate to 0

2w² - 0.9w - 59.85 = 0

Solving using through quadratic equation, w will be:

w = (0?9 + 21.9)/4

Width = 5.7

Length = 2w - 0.9 = 2(5.7) - 0.9 = 10.5 feet.

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Answer:

Step-by-step explanation:

Let's assume the initial number of men at the exhibition is 10x, and the initial number of women is 3x.

After 110 men left, the number of men remaining is 10x - 110.

The total number of people remaining is (10x - 110) + (3x) = 13x - 110.

According to the given information, the number of men remaining (10x - 110) is 5/12 of the total number of people remaining (13x - 110). We can write this as an equation:

10x - 110 = (5/12)(13x - 110)

To solve this equation, we can start by simplifying both sides:

10x - 110 = (65/12)x - (55/6)

To get rid of the fractions, we can multiply both sides of the equation by 12:

12(10x - 110) = 65x - 110(2)

120x - 1320 = 65x - 220

Next, we can bring the x terms to one side and the constant terms to the other side:

120x - 65x = 1320 - 220

55x = 1100

Dividing both sides by 55, we find:

x = 20

Now, we can substitute the value of x back into the initial expressions to find the number of men and women:

Number of men = 10x = 10(20) = 200

Number of women = 3x = 3(20) = 60

Therefore, there were 60 women at the exhibition

Hope this answer your question

Please rate the answer and

mark me ask Brainliest it helps a lot

If the tire says P235/65R17, the diameter of your wheel will be 17 inches.

The primary purposes of a car's tires are to carry the weight of the car, transmit traction and braking forces to the road surface, insulate against shocks from the road, and change and maintain the direction of motion.

It offers traction for braking and acceleration and reduces the number of road vibrations that reach the car's body.

It should be noted that the numbers that are written on the tire are vital in knowing the diameter that's illustrated.

In this case, when the tire says P235/65R17, the diameter of your wheel will be 17 inches.

In conclusion, it is 17 inches.

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Answer:

a + b

Step-by-step explanation:

3(a + b) - 2a - 2b

open the parenthesis

3 * a + 3 * b - 2a -2b

3a + 3b - 2a - 2b

combine like terms

3a - 2a + 3b - 2b

a + b

Answer:

D. 1689

Step-by-step explanation:

1689 is greater than 1684

Answer:

225 tons is the total

Step-by-step explanation:

Let the total amount be x

Given that,

32% of x = 72tons

32x/100 = 72tons

32x = 7200tons

x = 225 tons

To verify,

32% of 225 = 72tons

32/100 * 225 = 72 tons

72 = 72

Hence, verified.

Jo should buy the wallpaper from Style Papers, paying a total cost of £178.50 instead of £180 at Chic Decor.

The unit cost per roll of wallpaper is computed for Chic Decor and Style Papers, respectively, by division operation.

For Style Papers, the unit cost is the discounted price, which reduces the normal price per roll by 12%.

When the unit cost is multiplied by 15, the total cost is ascertained for comparison.

Chic Decor

3 rolls = £36

Price per roll = £12 (£36/3)

Style Papers

Pack of 5 rolls at normal price = £70

Discount = 12% (off the normal price)

Discounted price for 5 rolls = £59.50 (£70 x 1 - 12%)

Discounted price per roll = £11.90 (£59.50/5)

The total number of rolls of wallpaper required = 15

The total cost of 15 rolls at Chic Decor = £180 (£12 x 15)

The total cost of 15 rolls at Style Papers = £178.50 (£11.90 x 15)

Thus, using mathematical operations, we can advise Jo to buy the wallpaper from Style Papers instead of buying from Chic Decor.

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Answer: Some fractions (1/4, 1/2, and 3/4) automatically switch to a fraction character when you type them (¼, ½, ¾). But others do not (1/3, 2/3, 1/5, etc.).

FOR EXAMPLE: What is the fraction of 1, 2, 1, 4, 1, and 8? Well...

Once again, we find that 1/2 + 1/4 + 1/8 = 7/8. Both methods yielded the same result, whether we add two fractions first and then add the last one to the result, or add all three together at once, the answer is the same.

The volume of Ganymede is approximately 3.48 times the volume of the Moon, based on the given diameters of the two moons and the formula for the volume of a sphere.

The volume of a sphere is the amount of space occupied by the sphere in three-dimensional space. It can be calculated using the formula V = (4/3)πr³, where V is the volume of the sphere, r is the radius of the sphere, and π (pi) is a mathematical constant approximately equal to 3.14159. This formula states that the volume of a sphere is four-thirds of the product of pi and the cube of the sphere's radius.

In the given question,

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. Since we are given the diameters of the two moons, we can calculate their radii by dividing the diameters by 2. Therefore, the radius of Ganymede is 3,388/2 = 1,694 km, and the radius of the Moon is 1,245/2 = 622.5 km.

Now, we can calculate the volumes of the two moons:

V_Ganymede = (4/3)π(1694)³ ≈ 7.66 x 10^10 km³

V_Moon = (4/3)π(622.5)³ ≈ 2.2 x 10^10 km³

To find how many times larger Ganymede's volume is compared to the Moon's volume, we can divide the volume of Ganymede by the volume of the Moon:

V_Ganymede / V_Moon ≈ (7.66 x 10¹⁰) / (2.2 x 10¹⁰) ≈ 3.48

Therefore, the volume of Ganymede is approximately 3.48 times the volume of the Moon.

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Answer:

24/35

Step-by-step explanation:

Answer: x=3.6; y=-2.5

Step-by-step explanation:

To solve this pair of equations, we can use elimination method.

5x+4y=8

10x-4y=46

Add both equations together to cancel out 4y.

15x=54               [divide both sides by 15]

x=3.6

Now that we know x, we can plug it back into any equation to find y.

5(3.6)+4y=8       [multiply]

18+4y=8             [subtract both sides by 18]

4y=-10                [divide both sides by 4]

y=-2.5

Now, we have x=3.6 and y=-2.5.

The equation of the parabola shown in the 12b is y = x² - 4 if the vertex of the parabola is (0, -4).

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

The graph of a parabola is shown in the 12b question:

As we know, the standard form of the parabola is:

y = a(x - h)² + k

(h, k) is the vertex of the parabola:

From the graph: h = 0, k = -4

y = ax² - 4

Plug (2, 0) in the above equation:

0 = 4a - 4

a = 1

y = x² - 4

Thus, the equation of the parabola shown in the 12b is y = x² - 4 if the vertex of the parabola is (0, -4).

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Answer:

104 square inches .............

The number of 20 veggie burger, you bought.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

You buy a total of 50 turkey burgers and veggie burgers for $90.

You pay $2 per turkey burger and $1.50 per veggie burger.

Let x represents the turkey burger and y represents the veggie burger.

So, the system of equations,

x + y = 50   equation 1

2x + 1.5y = 90    equation 2

Substituting the value of x from the equation 1 to the equation 2,

100 - 2y + 1.5y = 90

y = 20

Then x = 30

Therefore, 20 veggie burgers you bought.

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Answer:

8^3 = 512

8^2 = 64

8^1 = 8

8^0 = 0

Step-by-step explanation:

Hey there!

An exponent (a^2) is usually a number that is raised by a certain number that is expressed in whichever number you have raised times

Cell A.
8^4

= 8 * 8 * 8 * 8

= 64 * 64

= 4,096

Cell B.

8^3

= 8 * 8 * 8

= 64 * 8

= 512

Cell C.
8^2

= 8 * 8

= 64

Cell D.
8^1

= 8

Cell E.
8^0

= 1

Thus, your answers should be:

• 512
• 64
• 8
• 1

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The expression for 3(5 - 2) + (5 - 1) is 13.

Given: 3(x-2) + (x-1)

           3x-3(2)+x-1

           3x - 6 + x - 1

Compared 3(x -2) + (x - 1) with 3(5 - 2) + (5 - 1), the value of x is 5.

Substitute x = 5 into the result

           3x - 6 + x - 1

           3(5) - 6 + 5 - 1

           15 - 1 - 1

           15 - 2 = 13

The expression for 3(5 - 2) + (5 - 1) is 13.

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Answer:

With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.

Step-by-step explanation:

had it correct in edg

Answer:

Step-by-step explanation:

yeah

Answer:

the answer of the value of ten is 10000

Step-by-step explanation:

Answer:

Well the answer to the line is 55,000

Step-by-step explanation:

Not sure how to explain this. But if you count over to ones tens hundreds thousands and then ten thousands you should be at 55,000.

P(A AND B) is approximately 0.101 (rounded to three decimal places).

Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event.

To find P(A AND B), we can use the conditional probability formula:

P(A AND B) = P(A|B) * P(B)

Given:

P(A|B) = 0.22

P(B) = 0.46

Plugging in the values:

P(A AND B) = 0.22 * 0.46

Calculating the result:

P(A AND B) = 0.1012

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Answer:

Let x be the number of calories in the pepperoni pizza and y be the number of calories in ham-and-pineapple pizza. Then, we can make two equations out of the problem statement.

Eq 1: (1/2)x + (3/4)y = 765

Eq 2: (1/4)x + y = 745

By transposing, Eq 2 becomes: y = 745 - (1/4)x. We substitute this to Eq. 1:

(1/2)x + (3/4)(745 - (1/4)x) = 765

x = 660

Then we substitute x to Eq 2 to get y:

y = 580

Thus, there is 660 calories in pepperoni pizza and 580 calories in ham-and-pineapple pizza.

To prove that for every integer n, n² - 2 is not divisible by 4, a direct proof will be used. To prove the statement, we will employ a direct proof, showing that for any arbitrary integer n, n² - 2 cannot be divisible by 4.

Assume that n is an arbitrary integer. We will consider two cases: when n is even and when n is odd.

Case 1: n is even (n = 2k, where k is an integer)

In this case, n² is also even since the square of an even number is even. Therefore, n² - 2 = 2m, where m is an integer. However, 2m is divisible by 2 but not by 4, so n² - 2 is not divisible by 4.

Case 2: n is odd (n = 2k + 1, where k is an integer)

In this case, n² is odd since the square of an odd number is odd. Therefore, n² - 2 = 2m + 1 - 2 = 2m - 1, where m is an integer. 2m - 1 is not divisible by 4 as it leaves a remainder of either 1 or 3 when divided by 4.

In both cases, we have shown that n² - 2 is not divisible by 4. Since these cases cover all possible integers, the statement holds true for all values of n.

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To prove that for every integer n, n² - 2 is not divisible by 4, a direct proof will be used. To prove the statement, we will employ a direct proof, showing that for any arbitrary integer n, n² - 2 cannot be divisible by 4.

Assume that n is an arbitrary integer. We will consider two cases: when n is even and when n is odd.

Case 1: n is even (n = 2k, where k is an integer)

In this case, n² is also even since the square of an even number is even. Therefore, n² - 2 = 2m, where m is an integer. However, 2m is divisible by 2 but not by 4, so n² - 2 is not divisible by 4.

Case 2: n is odd (n = 2k + 1, where k is an integer)

In this case, n² is odd since the square of an odd number is odd. Therefore, n² - 2 = 2m + 1 - 2 = 2m - 1, where m is an integer. 2m - 1 is not divisible by 4 as it leaves a remainder of either 1 or 3 when divided by 4.

In both cases, we have shown that n² - 2 is not divisible by 4. Since these cases cover all possible integers, the statement holds true for all values of n.

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