(20 marks, Urgent)

Find f(4) if the function f(x) = (x - 1)(x - 2)(x - 3).

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) with the two numbers she rolls can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

To find the number of favorable outcomes, we need to identify the combinations of two numbers that will result in a two-digit number between 10 and 20. We can list these combinations as follows:

11, 12, 13, 14, 15, 16

Notice that we only have six favorable outcomes.

Now, let's determine the total number of possible outcomes when rolling two six-sided dice. Each die has six possible outcomes (1, 2, 3, 4, 5, 6), so the total number of outcomes is 6 multiplied by 6, which equals 36.

To calculate the probability, we divide the number of favorable outcomes (6) by the total number of possible outcomes (36):

Probability = Favorable outcomes / Total outcomes
Probability = 6 / 36
Probability = 1 / 6

Therefore, the probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

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The simplified expression is 26 - 4x.

To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.

6 - 4(x - 5)

First, distribute -4 to the terms inside the parentheses:

6 - 4x + 20

Now, combine like terms:

(6 + 20) - 4x

Simplifying further:

26 - 4x

Therefore, the simplified expression is 26 - 4x.

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PLEASE GIVE BRAINLIEST!

First, let's calculate the interest S paid on the loan he borrowed:

Simple interest for 2 years = (principal x rate x time) / 100

= (20000 x 6 x 2) / 100

= 2400

So, S paid Rs 2400 as simple interest on the loan he borrowed.

Now, let's calculate the amount of money S lent to the businessman:

Amount = principal x (1 + rate/100) ^ time

= 20000 x (1 + 6/100) ^ 2

= 20000 x 1.1236

= 22,472So, S lent Rs 22,472 to the businessman.

Now, let's calculate the interest earned by S on this loan after 2 years:

Compound interest for 2 years = amount - principal

= 22,472 - 20,000

= 2,472

So, S earned Rs 2,472 as interest on the loan he gave to the businessman.

Finally, let's calculate the profit earned by S after 2 years:

Profit = Interest earned - Interest paid

= 2,472 - 2,400

= 72

Therefore, S earns a profit of Rs 72 after 2 years.

The following are the area of the sectors:

6a). π square inches

6b). 24π square centimeters

7a). 9 square centimeters

7b). 16.7 square inches

The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius.

For question 6:

a). (40/360) × π × 3 in × 3 in = π in²

b). (135/360) × π × 8 cm × 8 cm = 24π cm²

For question 7:

a). (90/360) × π × 6 cm × 6 cm = 9 cm²

b). (60/360) × π × 10 in × 10 in = 16.7π in²

Therefore, the following are the area of the sectors:

6a). π square inches

6b). 24π square centimeters

7a). 9 square centimeters

7b). 16.7 square inches

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Answer:

X=8

use sin 30 and cross multiply

Answer:

C) x=8

Step-by-step explanation:

For a 30-60-90 triangle, the hypotenuse is equal to double the length of the short side, and the longer leg is equal to the short side times the square root of 3. Therefore, x=2(4)=8

No, there is not enough evidence to support the executive's claim.

In order to determine whether there is enough evidence to support the executive's claim, we need to compare the mean household incomes of Visa Gold cardholders and MasterCard Gold cardholders. The mean household income for Visa Gold cardholders is $77,450 with a standard deviation of $11,200, while the mean household income for MasterCard Gold cardholders is $68,360 with a standard deviation of $11,400.

To assess the significance of the difference between these means, we can conduct a hypothesis test. The null hypothesis would state that there is no significant difference between the mean household incomes of Visa Gold and MasterCard Gold cardholders, while the alternative hypothesis would state that there is a significant difference.

By comparing the means and standard deviations, we can calculate the test statistic. Since the sample sizes are small (11 for MasterCard Gold cardholders), we can use a t-test for independent samples. With the given information, we find that the t-value is approximately -1.29.

To determine whether the difference is statistically significant, we need to compare the calculated t-value with the critical t-value at a specified level of significance (e.g., 0.05). The critical t-value for a two-tailed test with 10 degrees of freedom is approximately ±2.228.

Since the calculated t-value (-1.29) is within the range of the critical t-values (-2.228 to 2.228), we fail to reject the null hypothesis. Therefore, there is not enough evidence to support the executive's claim. The difference in mean household incomes between Visa Gold and MasterCard Gold cardholders is not statistically significant.

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Answer:

I cannot see the picture

Step-by-step explanation:

Answer:

15 and 47

Step-by-step explanation:

62/2=31

31-16=15

31+16=47

15+47=62.

I apologise if I'm wrong

Answer:

23 and 39

Step-by-step explanation:

x+y=62

x-y=16

2x=78

x=39

y=23

12, 8, 4, 0

Step-by-step explanation:

Thank Me. Super.

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

We have,

The stationing of the end of excavation can be determined by adding the given sections to the starting station.

Assuming the starting station is Station 2+020, the end of excavation would be at Station 2+080 (given as Station 2+020 + 60 meters).

To find the volume of fill by end area method, we need to calculate the area of the end section and multiply it by the distance between the start and end stations.

Given that the base for fill is 12 meters and the sideslope for fill is 2:1, the area of the end section can be calculated as follows:

Area of end section = (Base for fill) * (Sideslope for fill)

Area of end section = 12 * (2/1) = 24 square meters

Now, multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of fill:

Volume of fill = Area of end section * Distance

Volume of fill = 24 * 60 = 1440 cubic meters

Therefore, the volume of fill by end area method is 1440 cubic meters.

Similarly, to compute the volume of excavation by end area, we calculate the area of the end section (base for cut * sideslope for cut) and multiply it by the distance between the start and end stations. Given that the base for cut is 12 meters and the sideslope for cut is 1.5:1, the area of the end section can be calculated as follows:

Area of end section = (Base for cut) * (Sideslope for cut)

Area of end section = 12 * (1.5/1) = 18 square meters

Multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of excavation:

Volume of excavation = Area of end section * Distance

Volume of excavation = 18 * 60 = 1080 cubic meters

Therefore, the volume of excavation by end area is 1080 cubic meters.

Thus,

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

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Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

n = -9/2m

Step-by-step explanation:

I got this right! Hope this helps !!

Answer: A6/ 2/3= 9

Step-by-step explanation:

We know that one tile is 2/3 ft long and we want to cover 6 ft (which is the given measure of the back of the shower).

To know the number of tiles needed, we will simply do cross multiplication as follows:

1 tile ...............> 2/3 ft

?? tiles ...........> 6 ft

Number of tiles = (6*1) / (2/3)

Number of tiles = 6 / (2/3)

Number of tiles = 9 tiles

Answer:

A). 6 ÷ 2/3 = 9

Step-by-step explanation:

Answer:

13x2−10/2 is your answer

Step-by-step explanation:

By the end of week 52, Westway Company deducted $8,857.60 for Social Security and $2,426.48 for Medicare from Suzle Chan's earnings.

To calculate the deductions made by Westway Company, we'll need to consider the Social Security and Medicare taxes.

Social Security tax:

The Social Security tax rate is 6.2% on income up to $142,800.

Since Suzle Chan earns $3,220 per week, their annual income is $3,220 * 52 = $167,440.

However, the maximum taxable income for Social Security is $142,800.

Therefore, the Social Security tax deduction is $142,800 * 0.062 = $8,857.60.

Medicare tax:

The Medicare tax rate is 1.45% on all income.

The Medicare tax deduction is $167,440 * 0.0145 = $2,426.48.

By the end of week 52, Westway Company would have deducted a total of $8,857.60 for Social Security and $2,426.48 for Medicare from Suzle Chan's earnings.

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The Lewis dot structure for BF2 is:

 F     B     F

  \   /    

   B    

  /   \

 F     B     F

In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.

To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.

The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.

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Answer:

22 years old

Step-by-step explanation:

Sarah - 49 years old

Leo - 38 years old

Mary - 22 years old

Jordan - 41 years old

 I think I'm right

Hello! How are you today?

The average speed of the car during the trip from Boston to Hartford can be calculated by dividing the total distance traveled by the time taken. In this case, the distance between the two cities is 240 kilometers and the travel time is 4 hours.

To find the average speed, we divide the total distance (240 kilometers) by the total time (4 hours):

Average speed = Total distance / Total time = 240 km / 4 hours = 60 km/h.

Therefore, the average speed of the car during the trip from Boston to Hartford is 60 kilometers per hour.

The average speed is a measure of how fast an object or vehicle is moving on average over a given distance. It is calculated by dividing the total distance traveled by the total time taken. In this case, we divide the distance between Boston and Hartford (240 kilometers) by the time taken to complete the trip (4 hours) to find an average speed of 60 kilometers per hour. This means that, on average, the car traveled 60 kilometers for every hour of the trip.

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Total miles: 4 hours x 88 miles per hour = 352 miles

Pay = 0.60 per mile x 352 miles = $211.20

Gallons of gas used = 352 miles / 40 miles per gallon = 8.8 gallons

Cost of gas  = 8.8 gallons x 3 per gallon = $26.40

Net pay = amount paid - amount spent

Net pay = 211.20 - 26.40 = 184.80

Answer: $184.80

His net rate of pay in dollars per hour is $ 22.8 per hour.

Since the driver travels 4 hours at 88 miles per hour, the total distance he travels is d = speed × time

= 88 miles per hour × 4 hours

= 352 miles.

Since he is paid $0.60 per mile, the total amount he is paid for covering 352 miles is t = rate × distance

= $0.60 per mile × 352 miles

= $211.2.

Since his car gets 40 miles per gallon and he spends $ 3 per gallon, the total amount he spends on gasoline is t' = diatance per gallon × amount per gallon

= 40 miles per gallon × $ 3 per gallon

= $ 120.

So, his net pay T = total amount paid - amount spent on gasoline

= t - t'

= $211.2 - $120

= $91.2

Now, his net rate of pay in dollars per hour is p = net pay/total time of travel = $ 91.2/4 hours

= $ 22.8 per hour

So, his net rate of pay in dollars per hour is $ 22.8 per hour.

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Answer:

inverse is opposite so i assume its y and x

Step-by-step explanation:

Answer:

95 491/1000

Step-by-step explanation:

95.491 written as mixed number would look like: 95 491/1000

Answer:

-1/16

Step-by-step explanation:

Raise numerator and denominator to the 4th 1 raised to any power equals one so 2 to the 4th power is 16 so u get -1/16

Answer:

3.48 m

Step-by-step explanation:

Substitute x = 3 into f(x)

f(3) = 2.007 × \(\sqrt{3\) ≈ 3.48 m ( to the nearest tenth )

Answer:

b

Step-by-step explanation:

Answer: 88 years

Step-by-step explanation:

The length of the diagonal of the print would be = 36.7 in . That is option A (to the nearest tenth).

The print has the shape of a rectangle which is a type of a quadrilateral that has four sides with two sides parallel to each other.

The diagonal length of the print can be calculated by the use of the Pythagorean formula;

That is c² = a² + b²

C = hypothenuse = ?

a = 22 - 4 = 18in

b = 36 - 4 = 32 in

c² = 18² + 32²

c² = 324 + 1024

c² = 1348

C= √1348

C = 36.7 in ( nearest tenth)

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