Layla's dog eats 5/8 of a pound of food each day. Layla has a bag containing 3 3/4 pounds of
dog food. How many days will the bag feed Layla's dog?

Answer:

(_1,_7),(_2,_6),(_3,_5),(_4,_4)(_5,_3)

They should make 19 of Combo A and 10 of Combo B which would earn them $703.75 in revenue.

Let x represent the number of combo A and y represent the number of combo B. Hence:

10x + 20y ≤ 400   (1)

Also:

16x + 8y ≤ 384 (2)

The solution to the inequality is (19, 10)

Revenue = 21.25(19) + 30(10) = $703.75

They should make 19 of Combo A and 10 of Combo B which would earn them $703.75 in revenue.

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Answer:

Josh should by the dump truck with 30,000 pounds of gravel in it

Step-by-step explanation:

the easiest way to find this out is divide 30,000 and 2,500 by 150 and if the answer is a whole number, then you know that is the correct answer.

30,000/150 = 200

2,500/150 = 16.6666666666666

May I have brainliest please? :)

An annual payment is found approximately $617.34. The correct option is e.. $617.34.

To find the size of your payments, you can use the formula for calculating the equal installments on a loan.

First, calculate the annual payment by dividing the borrowed amount ($2,000) by the present value factor of an annuity due with 4 periods at a 9% interest rate.

Using a financial calculator or spreadsheet, the present value factor of an annuity due with 4 periods at 9% interest rate is 3.2403.

Dividing $2,000 by 3.2403 gives us an annual payment of approximately $617.34.
Therefore, the correct answer is e. $617.34.

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Answer:

what is this. I don't known this answer

Answer: False

Step-by-step explanation:

If \(y=0.5\), then \(y^2=0.25\), whereas \(y=0.5\).

Therefore, this is a counterexample. Hence, the statement is false.

The matrix A of the rotation about the y-axis through an angle of π/2 clockwise as viewed from the positive y-axis is \(A=\left[\begin{array}{ccc}0 & 0 & -1 \\0 & 1 & 0 \\1 & 0 & 0\end{array}\right]\).

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

To find the matrix A of the rotation about the y-axis through an angle of π/2 (90 degrees) clockwise as viewed from the positive y-axis, we can use the following rotation matrix:

\(A=\left[\begin{array}{ccc}\cos (\theta) & 0 & -\sin (\theta) \\0 & 1 & 0 \\\sin (\theta) & 0 & \cos (\theta)\end{array}\right]\)

Substitute θ with π/2, which is the angle of rotation.

\(A=\left[\begin{array}{ccc}\cos \left(\frac{\pi}{2}\right) & 0 & -\sin \left(\frac{\pi}{2}\right) \\0 & 1 & 0 \\\sin \left(\frac{\pi}{2}\right) & 0 & \cos \left(\frac{\pi}{2}\right)\end{array}\right]\)

Compute the trigonometric values for cos( π/2) and sin( π/2).

cos( π/2) = 0
sin( π/2) = 1

Substitute the computed values back into the matrix.

\(A=\left[\begin{array}{ccc}0 & 0 & -1 \\0 & 1 & 0 \\1 & 0 & 0\end{array}\right]\)

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Answer:

144 square feet of carpet

We know that the area of square = (side)²

So , the area of the bedroom = (12)²

Simplify it

The area of the bedroom = 12 × 12 = 144 ft²

Based on the given information, the operating characteristics of Willow Brook National Bank's drive-up teller window can be determined and the probability of customers having to wait for service can be calculated.

The arrival rate for the drive-up teller window is 0.5 customers per minute, while the service rate is 0.75 customers per minute. Since both arrival and service times follow exponential distributions, we can use the formulas for an M/M/1 queue to calculate the operating characteristics.

(a) The probability of having no customers in the system can be found using the formula P0 = 1 - (λ/μ), where λ is the arrival rate and μ is the service rate. Plugging in the values, P0 = 1 - (0.5/0.75) = 0.3333.

(b) The average number of customers waiting can be calculated using the formula Lq = (\(\lambda ^2\)) / (μ(μ - λ)). Plugging in the values,

Lq = (\(0.5^2\)) / (0.75(0.75 - 0.5)) = 0.6667.

(c) The average number of customers in the system is given by L = λ / (μ - λ). Plugging in the values, L = 0.5 / (0.75 - 0.5) = 1.

(d) The average waiting time for a customer can be calculated using the formula Wq = Lq / λ. Plugging in the values, Wq = 0.6667 / 0.5 = 1.3333 minutes.

(e) The average time a customer spends in the system is given by W = Wq + (1 / μ). Plugging in the values, W = 1.3333 + (1 / 0.75) = 2.6667 minutes.

(f) The probability that arriving customers will have to wait for service can be calculated using the formula Pw = λ / μ. Plugging in the values, Pw = 0.5 / 0.75 = 0.6667.

These calculations provide the operating characteristics of the drive-up teller window at Willow Brook National Bank.

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Answer:

n=27

Step-by-step explanation:

Subtract 3 from both sides.  Multiply both sides by 9.  n=27

Answer:

mateweew ans is 12

The mode is the value that appears most frequently in a data set.

and 12 repeats twice other once so anw is obv 12

Answer: 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the sum of a geometric sequence is: S = a(1 - r^n) / (1 - r)

In this case, our a = -8, r = -3, and n = 10.

S = -8(1 - (-3)^10) / (1 - (-3))

S = -8(1 - (-59049)) / 4

S = -8(59049) / 4

S = -2362196

Answer:

B

Step-by-step explanation:

The formula for area for a circle is \(a = \pi\) x r^2

Answer:

  18x+6

Step-by-step explanation:

You want the total length of fence required to enclose a rectangular garden with width (2x+4) and length (7x-1) feet.

Perimeter

The perimeter of a rectangle is given by the formula ...

  P = 2(L+W)

Substituting the given length and width, we find the perimeter to be ...

  P = 2((7x-1) +(2x+4))

  P = 2((7+2)x +(-1+4)) = 2(9x +3)

  P = 18x +6

The total amount of fencing Susan needs is represented by the expression (18x+6).

Answer:

108.73608

Step-by-step explanation:

Answer:

x= 9°

Step-by-step explanation:

\(180 - 171 = 9\)

\(x = 9\)

53 inches is the mean height of the students in the group.

Given data: \(54,48,52,56,55\)

We know that mean of the heights =  \(\frac{Sum of all the heights}{No. of students}\)

                                                         \(= \frac{54+48+52+56+55}{5}\)

                                                         \(= \frac{265}{5}\)

                                                         \(= 53\) inches

Thus, the mean height of the students is 53 inches

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Answer:

79m

Step-by-step explanation:

P=276

L= P/2 - W

L= 276/2 - 59 m

L = 79m

a) The probability of exactly 6 people increasing in the U.S. population in a given minute is approximately 0.1042 or 10.42%.

b)  The probability of more than three people increasing in the U.S. population in a given minute is approximately 0.3712 or 37.12%.

c) The probability of at most four people increasing in the U.S. population in a given minute is approximately 0.6288 or 62.88%.

a. To find the probability of exactly 6 people increasing in the U.S. population in a given minute, we can use the Poisson distribution with a mean of 4 people per minute:

\(P(X=6) = (e^(-4) * 4^6) / 6! = 0.1042\)

Therefore, the probability of exactly 6 people increasing in the U.S. population in a given minute is approximately 0.1042 or 10.42%.

b. To find the probability of more than three people increasing in the U.S. population in a given minute, we can use the cumulative distribution function of the Poisson distribution:

\(P(X > 3) = 1 - P(X ≤ 3) = 1 - ∑(k=0 to 3) [(e^(-4) * 4^k) / k!] = 1 - 0.6288 = 0.3712\)

Therefore, the probability of more than three people increasing in the U.S. population in a given minute is approximately 0.3712 or 37.12%.

c. To find the probability of at most four people increasing in the U.S. population in a given minute, we can again use the cumulative distribution function of the Poisson distribution:

\(P(X ≤ 4) = ∑(k=0 to 4) [(e^(-4) * 4^k) / k!] = 0.6288\)

Therefore, the probability of at most four people increasing in the U.S. population in a given minute is approximately 0.6288 or 62.88%.

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A 24U rack is approximately 44.5 inches (113.03 cm) tall.

What is Expression in math ?

An expression is made up of one or more integers or variables, as well as one or more operations.

The "U" unit in a rack height refers to unit of measurement for the height of equipment in a standard 19-inch server rack.

1U is equal to 1.75 inches (4.45 cm)

so, 24U is equal to 24 * 1.75 inches = 42 inches (106.68 cm).

However, in practice, the height of a 24U rack is typically slightly taller to account for the height of the mounting brackets and other hardware.

Hence, A 24U rack is approximately 44.5 inches (113.03 cm) tall.

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Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

Out of 52 cards, there is only one Queen of Hearts. Hence, then, the probability = 47/52

5 cards can be chosen from a deck of 52 cards in ⁵²C₅

In order to avoid choosing a queen of hearts, we must choose 5 cards. There is only one queen of hearts in a deck of 52 cards. There are still 51 cards left, and 5 of them can be chosen in ⁵²C₅.

Therefore, the likelihood that a five-card poker hand does not include the queen of hearts is equal to ⁵¹C₅/⁵²C₅

47/52

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The full question

What is the probability that a five-card poker hand does not contain the queen of hearts?

Answer:

a. 110

b

Step-by-step explanation:

The positive difference between the two probabilities is 11/35.

To calculate the probability that three distinct numbers chosen at random without replacement from the set would have an even sum, Jan would consider the number of ways to choose three even numbers (4 choose 3) and divide that by the total number of combinations of three numbers (7 choose 3).

To calculate the probability that three distinct numbers chosen at random without replacement from the set would have an even product, Judy would consider the number of ways to choose three numbers such that the product is even (3 choose 2) and divide that by the total number of combinations of three numbers (7 choose 3).

The positive difference between the two probabilities would be the difference between these two calculations. In this case, 11/35 is a positive difference, meaning that the probability of having an even product is 11/35 higher than the probability of having an even sum.

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Answer:

1 i believe

Step-by-step explanation:

The probability that the engine over heats and leaks is 0.0096

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Probability is a metric used to express the possibility or chance that a particular event will occur. Probabilities can be expressed as fractions from 0 to 1, as well as percentages from 0% to 100%.

Engine leaks oil AND overheats,

hence P(Engine overheats) = P(Engine overheats) X P(Engine leaks oil) = 0.12 X 0.08 = 0.0096

Hence the probability of leaking of engine due to over heating is 0.0096

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Answer:

60

Step-by-step explanation: