There are 2 more horses than crows in a field. There are 16 animals in the field in all. How many horses are there in the field?
Let c represent the number of crows.
Which equation represents the situation?
c + 2 = 16
2c - 2 = 16
2( c + 2 ) = 16
2c + 2 = 16

Answer:

Not entirely sure but 38%

Step-by-step explanation:

Answer:

38%

Step-by-step explanation:

Answer:

4x-6x-x+15-4

-3x+11

Step-by-step explanation:

we combined our like terms

The primary reason that the standard deviation is preferred to the variance is because the standard deviation is the most widely used measure of center.

Standard deviation and variance are two fundamental mathematical concepts that play an important role in everything from accounting to economics to investing in finance. Both use the average of a set of numbers to measure the variability of numbers in a data set. They are important to help determine volatility and return distributions. But there are inherent differences between the two. The standard deviation measures the square root of the variance, which is the average of each point from the mean.

(1) Standard deviation measures the distance between numbers in a set of data. The variance, on the other hand, gives the true value of the difference between the numbers in the data set and the mean.

(2) The standard deviation is the square root of the variance, expressed in the same units as the data set. Variance can be expressed as a square unit or as a percentage (especially in financial terms).

(3) The standard deviation can be greater than the variance because when the variance is less than one (1.0 or 100%).

(4) When the deviation is greater than 1 (such as 1, 2, or 120%), the standard deviation is less than the deviation.

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If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

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The expression is equivalent is 6x/4 + 24y/12

Algebraic expressions are described as expressions composed of variables, terms, factors, constants, and coefficients.

These expressions also consisting of mathematical operations, such as;

Given the expression;

1/4(3x+4y) + 3(1/4x+ 2/3y)

expand the bracket

3x/4 + 4y/4 + 3/4x + 3/3y

collect like terms

3x/4 + 3/4x + 4y/4 + 3/3y

add like terms

3x + 3x/4 +  12y + 12y /12

add the numerators

6x/4 + 24y/12

Hence, the expression is 6x/4 + 24y/12

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Explanation:

There are 3 red out of 9 total

The probability of picking red at random is 3/9 = 1/3

If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4

Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.

Now multiply the fractions mentioned:

(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12

If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.

Side note: 1/12 = 0.0833 = 8.33% approximately

Answer:

Step-by-step explanation:

\(\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m\)

Answer:

Step-by-step explanation:

The numbers 0 and 1 are neither prime nor composite. They are too special because they represent nothingness (zero) and wholeness (one), so the idea of having factors for 0 and 1 does not make sense. ... For example, all even numbers are divisible by two, and so all even numbers greater than two are composite numbers.if a natural number is not prime, then we say that it is composite. ... Example: The value six, 6, is a composite number because it has four counting number factors: 1, 2, 3, and 6. We have 1 · 6 = 6 and 2 · 3 = 6. It turns out that mathematicians have declared that 1 is neither prime nor composite.

i m a muslim The hardware component added to a computer to increase the functionality and capacity is a ram or expansion slot or expansion card or motherboard the answer is x 66

The calculated volumes of the figures are 2145.52 cubic meters, 697.19 cubic yards, 20587.81 cubic meters, 2639.40 cubic feet, 56.57 cubic km and 6387.60 cubic inches

The sphere 1

The volume is calculated as

V = 4/3πr³

Where

r = Radius = 8 meters

So, we have

V = 4/3 * 22/7 * 8³

Evaluate

Volume = 2145.52 cubic meters

The sphere 2

The volume is calculated as

V = 4/3πr³

Where

r = Radius = (11/2) yards

So, we have

V = 4/3 * 22/7 * (11/2)³

Evaluate

Volume = 697.19 cubic yards

The sphere 3

The volume is calculated as

V = 4/3πr³

Where

r = Radius = (34/2) meters

So, we have

V = 4/3 * 22/7 * (34/2)³

Evaluate

Volume = 20587.81 cubic meters

The hemisphere 4

The volume is calculated as

V = 2/3πr³

Where

r = Radius = 10.8 feet

So, we have

V = 2/3 * 22/7 * 10.8³

Evaluate

Volume = 2639.40 cubic feet

The hemisphere 5

The volume is calculated as

V = 2/3πr³

Where

r = Radius = 3 km

So, we have

V = 2/3 * 22/7 * 3³

Evaluate

Volume = 56.57 cubic km

The hemisphere 6

The volume is calculated as

V = 2/3πr³

Where

r = Radius = 29/2 in

So, we have

V = 2/3 * 22/7 * (29/2)³

Evaluate

Volume = 6387.60 cubic inches

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In order to establish a two-element set with each element being a positive integer smaller than 95, there are thus 4371 possible combinations.

Combinations are defined by the following formula: C(n, r) = n! / (r! * (n-r)!)

Where n is the overall number of things and r denotes the number of items to be picked at random.

Without respect to order, we must select 2 elements from a possible total of 94. As a result, we can use the following formula to apply the rule: C(94, 2) = 94! / (2! * (94-2)!) = (94 * 93 * 92 *... * 3 * 2 * 1) / [(2 * 1) * (92 * 91 *... * 3 * 2 * 1)]

= (94 * 93) / (2 * 1) = 4371

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Answer: 15

Step-by-step explanation: 8 times 3 equals 24 then you subtract 9 from 24 which gives you 15.

Answer:

I'm pretty sure its 180 !!

To calculate the probability of event E in a five-card poker hand with at least one 7 and at least one 8, we consider different cases and divide the number of favorable outcomes by the total number of possible outcomes.

To calculate the probability of event E, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. We can consider three cases to count the favorable outcomes:

Case 1: Hand with both 7 and 8 in a straight

In this case, we have 2 choices for the position of the 7 and 2 choices for the position of the 8 in the straight. For the remaining 3 cards, we have 48 choices for each card. Therefore, the number of favorable outcomes in this case is 2 * 2 * \(48^3\).

Case 2: Hand with a 7 and an 8, but not in a straight

In this case, we can have 2 choices for the positions of the 7 and 8. The remaining 3 cards can be any of the 48 remaining ranks. So, the number of favorable outcomes in this case is 2 * \(48^3\).

Case 3: Hand with both 7 and 8, but not in a straight

In this case, we have 2 choices for the position of the 7 and 2 choices for the position of the 8. The remaining 3 cards can be any of the 47 ranks excluding the 5 ranks used for the straight. Therefore, the number of favorable outcomes in this case is 2 * 2 * \(47^3\).

The total number of possible outcomes is the number of ways to choose any 5 cards out of a deck of 52 cards, which is given by the binomial coefficient (52 choose 5).

To calculate the probability, we sum up the favorable outcomes from each case and divide it by the total number of possible outcomes:

P(E) = (2 * 2 * \(48^3\) + 2 * \(48^3\) + 2 * 2 * \(47^3\)) / (52 choose 5)

This gives us the probability of event E, which represents the chance of obtaining a five-card poker hand that contains at least one 7 and at least one 8.

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The decimal value of 'z' after running the given code is 220.

The code initializes a short integer 'x' with the value -36, which is represented in binary as 11011100. Since the machine uses 1 byte for a short integer, 'x' is stored using 1 byte.

Then, 'x' is assigned to an integer 'y'. Since 'y' is an int, it uses 2 bytes to store the value. However, the binary representation of -36 (11011100) can be accommodated within the 2 bytes.

Finally, 'y' is cast to an unsigned int 'z'. The cast discards the sign bit, converting the value to its unsigned representation. Since 'z' is unsigned, it also uses 2 bytes to store the value. Therefore, the binary representation of -36 (11011100) is interpreted as a positive value, resulting in the decimal value 220.

In summary, the decimal value of 'z' is 220 because the negative value -36 is represented in binary as 11011100, which is interpreted as a positive value when cast to an unsigned int.

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If the sample is genuinely random, the mode of the sample may or may not be equal to the mode or mean of the population. The population size must always be equal to the sample size.

A sample's mode is the most common value in the sample. Depending on the variables specified, it might be greater, lower, or equal to the population mode. In general, when the sample size is high enough, the sample mode is assumed to be identical to the population mode. Nevertheless, this is not always the case. The chance of picking any one item in a genuinely random sample is the same throughout the whole population. This means that the mode of the sample may not always be the same as the mode or mean of the population. The sample mode might be greater or lower than the population mode. The population size must always be equal to the sample size. If the population size is 500, the sample size must be 500 as well. Any sample size less than that of the population will not correctly reflect the population.

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AA: y=40x+2

BB: y=34x+3

Answer:

FV= $123,879.85

Step-by-step explanation:

Giving the following information:

Montlhy deposit (A)= $100

Monthly interest rate (i)= 0.09/12= 0.0075

Number of periods (n)= 12*26= 312 months

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.0075^312) - 1]} / 0.0075

FV= $123,879.85

Answer:

42.0 ft

Step-by-step explanation:

let t be the height of the tree.

At the same time ,the measure of something

and its shadow are proportional .

Then

\(\frac{2}{6} =\frac{14}{t}\)

Then

2t = 6 × 14

Then

2t = 84

Then

t = 84/2

Then

t = 42

Therefore the tree is 42 ft tall

The cash back you would receive on your purchases of $2,738.21 using this credit card is $33.92.

To calculate the cash back you would receive using the given credit card, we need to multiply the total amount spent in each category by the corresponding cash back percentage, and then add up those amounts.

For gas purchases, you spent $134.92, so the cash back earned on that amount would be:

$134.92 x 3% = $4.05

For grocery store purchases, you spent $384.23, so the cash back earned on that amount would be:

$384.23 x 2% = $7.68

For all other purchases, you spent a total of:

$2,738.21 - $134.92 - $384.23 = $2,219.06

So the cash back earned on that amount would be:

$2,219.06 x 1% = $22.19

Adding up the cash back earned in each category, we get:

$4.05 + $7.68 + $22.19 = $33.92

∴ Cashback = $33.92

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Answer:

It 7 and 21

Step-by-step explanation:

7+21=28

7×3=21  

21÷3=7

Answer:

Option D is correct answer.

Step-by-step explanation:

We are given the system of equations:

\(x+y=4\\x-y=-6\)

Solving the system of equations to find values of x and y

Let:

\(x+y=4--eq(1)\\x-y=-6--eq(2)\)

Adding both equations to find value of x

\(x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1\)

So, we get value of x: x=-1

Now, putting value of x: x=-1 into equation 1 to find value of y

\(x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5\)

So, we get value of y: y=5

The ordered pair will be: (-1,5)

So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.

Checking:

Put x=-1 and y=5 in equation 1

\(x+y=4\\-1+5=4\\4=4\:True\)

Put x=-1 and y=5 in equation 2

\(x-y=-6-1-5=-6\\-6=-6\:\:\:True\)

So, both equations are true.

Therefore, Option D is correct answer.

Answer:

T = 2300 + 250q

Step-by-step explanation:

Given that:

Initial temperature = 2300 F

Extraction temperature = 3600 F

Rate of temperature increase = 250 F per quarter hour, q

Temperature of furnace after q quarter hours ;

(Initial temperature + rate of temperature increase * number of quarter hours )

(2300 + 250 * q)

2300 + 250q

Possible Answers: I searched too as I’m not very smart but I found one that happened to be multiple choice and this were the options. A. 120 miles

B. 200 miles C. 280 miles D. 360 miles E.400 miles

Step-by-step explanation: Personally I believe it should be 400.

The appropriate x-axis and y-axis unit scales for the coordinates (6, 40) are 1 unit for the x-axis and 5 units for the y-axis, Hence, (1,5)

The x-axis represents the horizontal distance from the origin, and the y-axis represents the vertical distance from the origin. The coordinates (6, 40) means that the point is 6 units to the right of the origin and 40 units above the origin.

If we use a unit scale of 1 for the x-axis, then the point will be represented by a dot that is 6 units to the right of the origin. If we use a unit scale of 5 for the y-axis, then the point will be represented by a dot that is 40 units above the origin.

Hence, the most appropriate units scale is (1,5)

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Answer:

The y intercept is : 65

Step-by-step explanation:

The y intercept is 65 as it is in the form of y=mx+c.

The c is the y intercept, being 65

The probability of getting a tail on any given toss is 1/2.

The random variable X represents the number of tails in 44 tosses of a coin. Since there are two possible outcomes (heads and tails) for each toss, the probability of getting a tail on any given toss is 1/2.

We can use the binomial distribution formula to calculate the probability of getting a specific number of tails in 44 tosses. The formula is:

P(X = k) = (44 choose k) * (1/2)^44

where "k" represents the number of tails we want to calculate the probability for, and "44 choose k" represents the number of ways we can get k tails in 44 tosses.

Using this formula, we can calculate the probability of getting 0, 1, 2, ..., 44 tails, and we get the following probability distribution:

X = 0: P(X = 0) = (44 choose 0) * (1/2)^44 = 1/17592186044416

X = 1: P(X = 1) = (44 choose 1) * (1/2)^44 = 44/17592186044416

X = 2: P(X = 2) = (44 choose 2) * (1/2)^44 = 946/17592186044416

...

X = 42: P(X = 42) = (44 choose 42) * (1/2)^44 = 946/17592186044416

X = 43: P(X = 43) = (44 choose 43) * (1/2)^44 = 44/17592186044416

X = 44: P(X = 44) = (44 choose 44) * (1/2)^44 = 1/17592186044416

Note that the sum of all these probabilities is 1, which means that one of these outcomes must occur. Also, we can see that the distribution is symmetric around the mean (22 tails) since the probability of getting k tails is the same as the probability of getting 44-k tails.

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Answer:

1205.75999

Step-by-step explanation: