X and Y together complete a task in 4 days, Y and Z together in 5 days. If they work independently, who will finish the work in the least time? A. X B. Y C. Z D. Not enough information to decide

Answer:

The answer to this question is 391 points will be scored in 17 games. to find this answer you divide 94 by 4 to find the total points per single game, then multiply that by 17. in this case is is 92 divided by 4 = 23 then 23 X 17 = 391

Answer:

The answer is 18.

Step-by-step explanation:

You just need to plug in -7 to the equation 2x-4. You get -18, but absolute value is always positive, so its 18.

The answer is 18.

Sorry no explanation im soooo sorry

A youngster from a household of four earning $73,500 will therefore spend $5.70 for a school meal.

a) The cost of a school lunch for a family making $73,500 can be determined as follows:

Price = $5.00 + 0.02% ×  ($73,500 - $70,000)

    = $5.00 + 0.02% ×  $3,500

    = $5.00 + $0.70

    = $5.70

A youngster from a household of four earning $73,500 will therefore spend $5.70 for a school meal.

b) The equation for P(x), which represents the cost of a child's school lunch in a household of four with an annual income of $70,000 x x $75,000, is:

P(x) = $5.00 + 0.02% × (x - $70,000)

c) To evaluate P(70,000), we substitute x = 70,000 in the above formula:

P(70,000) = $5.00 + 0.02% ×  ($70,000 - $70,000)

        = $5.00

As a result, the best interpretation is option A. P(70,000) represents the cost of a child's school meal for a household of four with an annual income of $70,000.

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Answer:

-13

Step-by-step explanation:

-2x6 = -12

-9+8= -1

-1+-12=-13

Hope this helps

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

143

Step-by-step explanation:

ueudddhdhdhddjdjdjdjjdjdhdhdjdjrjdjehdjejdjdjdjjdjdjejejejejrjjrjrjejhj yd tiffany fjtudtidyofyofhlfiuthofkhhfyk JFK jf jf jjdjfhfhdjsjRYRHRHHFJDJDJDJFHFHFHDJFJFJDJEJEIJF JFCBNDTIFFANYDHDHHFHFJDJDJRJDJNDJDJDNRNRNDNDNNDNDNDNDNDJDJDJDJDJJDJJJJJJJTIFFANYDNJDJDJJ HGTDUDUDYDHDUFFYYUUUHGFFDDCGJUTRDFGHUYFFCHJDOGJHGGGGGGGGGGGGGGFFFFGFYIDYFYOFOYFYOFYOYIFIHOYFOJYO

Here we have the same situation as last time.

Equation #1: 20.5x + 12,279

Equation #2: 11.25x + 45,505

Set them equal to one another:

20.5x + 12,279 = 11.25x + 45,505

And solve:

\(20.5x + 12,279 = 11.25x + 45,505\\100 * (20.5x + 12,279) = (11.25x + 45,505)\\2,050x+1,227,900=1,125x+4,550,500\\\\2,050x+1,227,900-1,227,900=1,125x+4,550,500-1,227,900\\\\2,050x=1,125x+3,322,600\\2,050x-1,125x=1,125x-1,125x+3,322,600\\925x=3,322,600\\\frac{925x}{925}=\frac{3,322,600}{925}\\x = 3,592\)

20.5 (3,592) + 12,279 = 85,915

11.25 (3,592) + 45,505 = 85,915

Therefore the number of books produced is 3,592

I hope I've helped! :)

(a) Chebyshev's theorem states that at least 75% of lifespan fall between 748 and 1112 hours.

(b) Chebyshev's theorem states that at least 56% of all lifetimes fall between the average lifespan minus the standard deviation and the average lifetime plus the standard deviation. Additional information, such as the mean and standard deviation of the lifespan, would be required to calculate the exact interval.

A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount. percentage. Mathematics percentile is a related topic. A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.

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The missing step in the proof is: D. ADCA

In the statements, we are given that AD || BC and ZDAC = ZBCA (alternate interior angles theorem), so we can conclude that triangle ADCA is similar to triangle BCA (by AA similarity criterion).

Therefore, we have the following proportional sides:

DC/AC = AC/BC

Given that DC = BA (given statement), we can substitute BA for DC in the proportion:

BA/AC = AC/BC

Now, we can cross-multiply to get:

BA * BC = AC²

Using the given statement that AC = AC (reflexive property of congruence), we can substitute AC for AC in the equation:

BA * BC = AC * AC

Use the definition of congruent sides to replace BA with DC:

DC * BC = AC * AC

And finally, use the substitution property of equality to replace BC with 6 units (given statement):

DC * 6 = AC * AC

From this equation, we can see that DC = 6 units, which completes the proof. Therefore, the missing step is statement D. ADCA.

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162

Step-by-step explanation:

(12 square - 15 + 17) + 16

=(144 - 15 + 17) + 16

=146 + 16

=162

Answer:

diving board has a length of 20 feet and a width of 2 feet

Step-by-step explanation:

diving board has a length of 20 feet and a width of 2 feet

Area = length (l) x width (w)

lw = 40

Perimeter = 2l + 2w

we can solve for 'l' and have:

l = 40/w

now substitute 40/w in for 'l' in the perimeter formula to get:

2(40/w) + 2w = 44

distribute through by 2 to get:

80w + 2w² = 44w

we can create the quadratic equation:  2w²-44w + 80 = 0

we can factor out a 2 to get:

2(w² - 22w + 40) = 0

2(w-20)(w-2) = 0

w = 20 and 2

Answer:

In 5 days

Step-by-step explanation:

If you divide 1797 by 70 you will get 25.67 then divide 25 by 5 and you will get 5

Answer:

No, the Normal/large sample condition is not met. A confidence interval assumes that the underlying population follows a normal distribution and that the sample size should be at least 30. Since the sample size in this case is only 10, the Normal/Large Sample condition is not met and the conditions for constructing a confidence interval are not met.

Answer:

Step-by-step explanation:

You have to add all of the number up to get the whole amount and then put in how much they each gave. Hope this helps :))

Answer: 120 g

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The equation for the sequence turns out to be 2(\(3^{n-1}\)) where n is the nth.

Plugging in 19 you get 2(\(3^{18}\)), or  774,840,978

Based on the information, it should be noted that the perimeter that they need is 130 yds to build up the fence.

Attached you can find a picture that will guide the explanation. We will assume that each line is supposed to be a fence. We will assume also that the diagonals that cross any subfield that has the same vegetable is unnecessary.

On the same fashion, the diagonal of the spinach-celery sector is 10. Recall that the field is a rectangle, so the perimeter of the outter fence is 2*(12+6)+2*(8+9) = 70 yds. Then, the total perimeter is given by

outter fence (70)+

fence spinach-watermelon (8) +

fence red peppers-watermelon(12)+

fence red peppers-carrots (15)+

fence carrots-tomatoes (9)+

fence celery-tomatoes(6) +

fence spinach-celery(10)

= 130 yds

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Answer: 1 pound

Step-by-step explanation:

-2 + 3 = 1

Answer:

There are 9 total marbles

Answer:

243=3^5

100000=5^5*2^5

So answer is- 3^5/5^5*2^5

Step-by-step explanation:

Hope it helps!!!

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There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

(-7,4] or -7 < X ≥ 4

Step-by-step explanation:

The domain is all applicable X values for the function. In this function, X can be greater than but not including -7, but has to be less than 4 (inclusive).

You can write your answer as (-7,4] or -7 < X ≥ 4.

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

Step-by-step explanation:

360 = x - 17 + 2x - 67 + 3x

360 = 6x - 84

360 + 84 = 6x

444 = 6x

x = 444 : 6

x = 74°

-------------------

check

2 * 74 - 67 + 74 - 17 + 3 * 74 = 360°

the answer is good

Answer:

fgd

Step-by-step explanation:

Ashlee could make 2520 eight digit codes using the digits in her birthday .

In the question

it is given that

the birthdate of Ashlee is 09/08/1981.

So, the number of digits are 0,0,1,1,8,8,9,9  .

number of digits = 8

So, 8 digits can be arranged in 8! ways

8! = 8*7*6*5*4*3*2*1 = 40320

Repeating digits are

0 repeated 2 times = 2! = 2

1 repeated 2 times = 2! = 2

8 repeated 2 times = 2! = 2

9 repeated 2 times = 2! =2

So, the number of 8 digits codes is = 8!/(2!*2!*2!*2!)

= 8!/(2*2*2*2)

= 40320/16

= 2520

Therefore , Ashlee could make  2520 eight digit codes using the digits in her birthday .

The given question is incomplete , the complete question is

Ashlee was born on 09/08/1981. How many eight digit codes could she make using the digits in her birthday ?

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Answer:20.5 miles

Step-by-step explanation:

the formula for distance, rate (speed), and time is

Distance=rate×time

D=40 (this is the speed he was going for the first customer) × \(\frac{12}{60}\) (time)

the time is 12/60 because we the speed was in miles per HOUR and the time was in miles per MINUTE. To convert minutes to hours, we divide by 60.

D=40× \(\frac{12}{60}\)

D=48/6

D=8 miles

Second trip:

D= 50×\(\frac{15}{60}\)

D=50×\(\frac{1}{4}\) (15/60 simplified is 1/4)

D= 12.5 miles

ANSWER: 8 miles + 12.5 miles = 20.5 miles

Three- month simple moving average (sma) forecast for the average gas prices are $3.08

$3.16 , $3.29 and predict the average retail gasoline price for june 2020 is $3.54.

A simple moving average (SMA) is defined as an arithmetic moving average calculated by adding recent prices and then dividing that figure by the number of time periods in the calculation average. The formula for SMA is:

SMA = (A₁ + A₂ + ------+ Aₙ )/n

where, Aₙ = the price of object at nth period

n = the number of total periods

We have, a average gas prices for different months. Calculate the three-month moving average, add together the first three sets of data, for this example it would be Dec, January, and February. This gives a total of $9.25 , then calculate the average of this total, by dividing this figure by 3 we get 3-month simple moving average. We have to predict the 3-month simple moving average for June 2020. As we seen in above table we calculate the 3-month simple moving average for different months.

The 3-month simple moving average for June 2020 is ( $3.29 + $3.51 + $3.82 )/3 = $3.54

So, required value is $3.54..

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Complete question:

use the gas prices data below to calculate a 3-month simple moving average (sma) forecast for the average gas prices and predict the average retail gasoline price for june 2020. round your answer to two decimal places, if necessary.

Year - month Averge gas price

19-Dec $3.07

20-Jan $3.10

20-Feb $3.08

20-Mar $3.29

20-Apr $3.51

20-May $3.82

20-Jun

1. The value of 312.6525° in 39°39'9" degrees-minutes-seconds is

2. The value

114°9'56" to degree 114.1656°

Degree is a unit of measurement for angles. and we can convert degrees to minutes and seconds

1° = 60'

1' = 60''

Therefore

1° = 3600"

1. Converting 312.6525° to degrees-minutes-seconds

= 312°

0.6525° = 0.6525 × 60 = 39.15'

0.15' = 0.15 × 60 = 9''

Therefore ;

312.6525° = 39°39'9"

2. converting

114°9'56" to degree

= 114° + (9/60)°+ 56/3600

= 114 + 0.15 + 0.0156

= 114.1656°

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Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

There are 5 people who need to share 8 dollars. Each person can get no more than 4 dollars. We want to know how many ways we can give out the 8 dollars.

We can use a special way of counting called "generating functions" to solve this problem. We start by making a list of all the possible ways to give out the dollars, where the first number is the number of dollars the first person gets, the second number is the number of dollars the second person gets, and so on. For example, one possible way is:

1, 1, 1, 2, 3

This means the first person gets 1 dollar, the second person gets 1 dollar, the third person gets 1 dollar, the fourth person gets 2 dollars, and the fifth person gets 3 dollars.

We can then make a special formula using these numbers, and we can use this formula to find the answer to our problem. The formula looks like this:

(1 + x + x^2 + x^3 + x^4)^5

We then need to find the coefficient of x^8 in this formula. This tells us how many ways we can give out 8 dollars to 5 people.

Using some math, we get the answer of 290. This means there are 290 ways to give out the 8 dollars.

So, there are 290 ways to give out 8 dollars to 5 people, where each person can get no more than 4 dollars.