New York City is a popular field trip destination. THis year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 1 van and 6 buses with 324 students. High School B rented and filled 9 van and 3 busses with 264 students. How many students can a van carry? How many students can a bus carry? (please also lmk what method you used)

Answer:

2 in by 3 in

Step-by-step explanation:

1 in = 4 ft Divide both sides with 4

0.25 in = 1 ft

0.25 * 8 = 2 in

0.25 * 12 = 3 in  

2 in by 3 in

Answer: 2 in by 3 in

Step-by-step explanation:

1 in = 4 ft Divide both sides with 4 0.25 in = 1 ft 0.25 * 8 = 2 in 0.25 * 12 = 3 in 2 in by 3 in

On solving the provided question, we can say that Probability (marble in blue) = 4/14 and Probability (marble in red ) = 10/14

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

total marble = 14

total red = 4

total blue = 10

Probability (marble in blue) = 4/14

Probability (marble in red ) = 10/14

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The answer to this question would be...

1/3n - 3 < 6; n < 27

The percentage of companies with revenue between 50 million and 90 million dollar is: 87.6%

The formula for the z-score in this type of distribution is:

z = (x' - μ)/σ

where:

x' is sample mean

μ is population mean

σ is standard deviation

We are given:

μ = 70 million dollars

σ = 13 million dollars

Thus:

When x' = 50 million dollars, we have:

z = (50 - 70)/13

z = -1.54

When x' = 90 million dollars, we have:

z = (90 - 70)/13

z = 1.54

Using probability between two z-scores calculator, we have:

z = 0.87644 = 87.6%

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Answer:

X=3

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Unit rate is $4.04 per oz

Therefore, The number of different slates of officers that can be elected is 5,040. This is calculated using the permutation formula with 7 positions to fill and 7 members who can be elected to each position.

To find the number of different slates of officers that can be elected, we need to use the permutation formula. The formula for permutations is n!/(n-r)!, where n is the total number of items and r is the number of items selected. In this case, we have 7 positions to fill and 7 members who can be elected to each position. Therefore, the number of different slates of officers that can be elected is 7!/(7-7)! = 7! = 5,040.
There are seven positions that need to be filled including president, vice president, recording secretary, corresponding secretary, treasurer, historian, and statistician. Each member can be elected to any position and can only hold one position. To find the number of different slates of officers that can be elected, we use the permutation formula. We have 7 positions to fill and 7 members who can be elected to each position, so the number of different slates of officers that can be elected is 7!/(7-7)! = 7! = 5,040.

Therefore, The number of different slates of officers that can be elected is 5,040. This is calculated using the permutation formula with 7 positions to fill and 7 members who can be elected to each position.

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The angle θ can be both 30 degrees and 210 degrees.

To understand how the angle θ can be both 30 degrees and 210 degrees, we need to consider the properties of the inverse cotangent function.

The cotangent function (cot) is defined as the ratio of the inverse cotangent function to the opposite side of a right triangle.

It is the reciprocal of the tangent function (tan).

The inverse cotangent function (cot⁻¹) is the inverse of the cotangent function.

It takes a ratio as input and returns the corresponding angle.

Let's break down the given expression:

θ = cot⁻¹ (√3)

The square root of 3 (√3) is approximately 1.732.

To find the angle θ, we need to find the ratio whose cotangent is equal to 1.732.

In other words, we need to find a right triangle where the adjacent side is equal to 1 and the opposite side is equal to 1.732.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse (h):

h² = 1² + 1.732²

h² = 1 + 2.999824

h² ≈ 4.999824

h ≈ √4.999824

h ≈ 2.236

So, the hypotenuse is approximately 2.236.

Now, we can find the angle θ using the inverse cotangent function:

θ = cot⁻¹ (√3)

θ = cot⁻¹ (1.732)

Using a calculator or trigonometric tables, we find:

θ ≈ 30°

Therefore, one possible value for θ is 30 degrees.

However, the inverse cotangent function has a periodicity of 180 degrees.

That means for any angle θ, adding or subtracting 180 degrees will also satisfy the equation.

So, θ = 30° + 180° = 210° is also a valid solution.

Hence, the angle θ can be both 30 degrees and 210 degrees.

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Answer: The predicted number of penalty kicks = 12

Step-by-step explanation:

Given : The experimental probability of her making a penalty kick in soccer is 3/10 or 30%.

So, the proportion of penalty kicks she make = 0.3

Out of 40 penalty kicks, the predicted number of penalty kicks = 0.3 x 40

= 12

Hence, the predicted number of penalty kicks = 12

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.

Substituting the given values, we get:

V = (1/3) × 3.14 × 3² × 3.8

V ≈ 35.63

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Answer:

225 liters

Step-by-step explanation:

If it takes 40 pounds to make 3 pounds of olive oil, we set up this equation:

40 times what equals 3000?

Then, we multiply 3 by the number that we are looking for.

So, we do 3000 / 40 = 75 to get the number.

Then, we do 3 * 75 = 225.

Therefore, 3000 pounds of olives makes 225 liters of olive oil..

ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘᴇᴅ!

ʜᴀᴠᴇ ᴀ ɴɪᴄᴇ ᴅᴀʏ!

Answer:

-2

Answer:

− 2 + 1 8

Step-by-step explanation:

Rearrange terms

8 + 2 ( 5 − ) 8 + 2 ( − + 5 ) 2

Distribute

8 + 2 ( − + 5 ) 8 − 2 + 1 0 3

Add the numbers

8 − 2 + 1 0 1 8 − 2 4

Rearrange terms

1 8 − 2 − 2 + 1 8

Solution

− 2 + 1 8

The adjusted cost of the dealer financing package is 5.00%. Therefore, you should accept the rebate and finance your new vehicle using your credit union loan as its cost (8.8%) is less than the adjusted cost of the dealer-arranged financing (5.00%).

To compare the dealer financing package with the credit union loan, you need to determine the adjusted cost of the dealer financing package using the given equation.

Using the given information: D = $27,690, APR = 3.5%, Y = 12 (monthly payments), P = 48 (4 years of payments), and F = $1,038.

Plugging the values into the equation:

APR = (12 * ((95 * 48) + 9) * 1038) / (12 * 48 * (48 + 1) * (4 * 27690 - 1038))
APR = (12 * (4560 + 9) * 1038) / (12 * 48 * 49 * (110760 - 1038))
APR = (12 * 4569 * 1038) / (12 * 48 * 49 * 109722)
APR = 56830384 / 257289792
APR ≈ 0.2208

To convert this to percentage, multiply by 100: 0.2208 * 100 ≈ 22.08%

Since the adjusted cost of the dealer-arranged financing package (22.08%) is higher than the credit union loan's cost (8.8%), you should accept the rebate and finance your new vehicle using your credit union loan.

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The line representing each of the faction, decimal or percent is:

38% -------> 0.38,

4/5 ------------> 0.8

17/25 ----------> 0.68

27/50 ----------> 0.54

0.45 -----------> 45%

A fraction represents a part of a whole or a ratio between two numbers. It is a way of expressing a quantity as a portion or a division of a whole.

A fraction consists of two parts, the numerator and the denominator, separated by a horizontal line called a fraction bar. The numerator represents the number of equal parts being considered, while the denominator represents the total number of equal parts in the whole.

Fractions can be written in different forms, such as proper fractions, improper fractions, mixed numbers, and decimals.

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Answer:

3rd one

Step-by-step explanation:

Range goes to the y-values

The y values are 16 19 and 16

So the range will be (16,19)

Answer:

$55

Step-by-step explanation:

Integer concept:

Credit: +

Debit: -

Balance = 84 + (-29)

= 84 - 29

= 55

hope it helps.

Answer:

$55

Step-by-step explanation:

Balance = Credit - Debit

=> $84 - $29

=> $55

Answer:

Step-by-step explanation:

all of them could be made into a difference of squares since they all have a minus sign in the expression, but maybe the question is if they can easily be made into a difference of squares.

with that said

\(y^{4}\) -2 =>  \((y^{2}) ^{2}\)- \((\sqrt{2}) ^{2}\)  could be a difference of squares but not easy

25\(m^{2}\)\(n^{4}\) - 1 => (5m\(n^{2}\))^2 - \(1^{2}\)   yes  and pretty easy

\(p^{8}\) - \(q^{4}\) => \((p^{\sqrt{8} } )^2\)-\((q^{2})^2\)  could be but not easy

16\(x^{2}\) - 24 => \((4x)^{2}\) -\((\sqrt{24}) ^{2}\)  could be but not easy

It would be reasonable to generalize from this sample to the population of all seniors at this university when the sample is representative and sufficiently large.

Generalizing from a sample to a larger population is a common practice in statistics and research. However, it is essential to ensure that the sample is representative of the population and that it is of an adequate size.

A representative sample accurately reflects the characteristics and diversity of the population it is drawn from. In the context of seniors at a university, a representative sample would include seniors from various majors, backgrounds, genders, and other relevant factors that are present in the population. This ensures that the sample represents the population as a whole.

Additionally, the size of the sample is crucial. A larger sample size generally provides more reliable and accurate results. It helps reduce sampling error and increases the statistical power of the analysis. The sample size should be sufficient to capture the variability and characteristics of the population without being too small, which may lead to biased or unreliable conclusions.

Therefore, it would be reasonable to generalize from this sample to the population of all seniors at this university if the sample is representative of the population and if the sample size is sufficiently large. This allows for meaningful insights and conclusions to be drawn about the entire population based on the characteristics and data observed in the sample.

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Answer:

9m^6-6m^3+1/4y^2

Step-by-step explanation:

(3m^3-1/2y)^2

(3m^3-1)^2/(2y)^2

9m^6-6m^3+1/4y^2

Step-by-step explanation:

If

n

is a positive integer that is greater than

x

and

a

is a real number or a factor, then

a

x

n

=

n

√

a

x

.

a

x

n

=

n

√

a

x

Use the rule to convert

y

3

5

to a radical, where

a

=

,

x

=

, and

n

=

.

5

√

y

3

The expected value of the winnings from the game is -1.02 (rounded to the nearest hundredth).

To find the expected value, we multiply each possible payout by its corresponding probability and sum up the results.

Expected value = (-2)(0.67) + (0)(0.22) + (2)(0.07) + (4)(0.03) + (6)(0.01)

Expected value = -1.34 + 0 + 0.14 + 0.12 + 0.06

Expected value = -1.02

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The greatest increase in new blossoms occur is B) 4 and 5.

What is axis ?

An axis is a line with respect to which a curve or figure is drawn, measured, rotated, etc. The most common axes encountered are commonly the mutually perpendicular Cartesian axes in the plane or in space. The plural of "axis" is "axes," pronounced "ax-ees."

Have given,

A bar graph titled New Blossoms has week on the x-axis and number on the y-axis.

here was in increase of 6 blossoms between weeks 4 and 5 which is the highest out of all the options.

Therefore ,The greatest increase in new blossoms occur is B) 4 and 5.

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Answer:

the digit in the ten thousandths place is 1

Step-by-step explanation:

Answer:

1 is the digit that is in the ten thousandth place

Step-by-step explanation:

can i get brainlisest

Step-by-step explanation:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Answer:

4^2 or 16

4^5 / 4^ 3

*subtract the exponents*

5 - 3 = 2

4^2 = 16

Answer:

16

Step-by-step explanation:

factor \(4^{3}\) out of \(4^{5}\)

\(\frac{4^{3}(4^{2}) }{4^{3} }\)

cancel common factors

\(\frac{4^{3}(4^{2}) }{4^{3}(1) }=\frac{4^{2} }{1}\)

simplify

\(4^{2}\)

solve

16

Step-by-step explanation:

Example

A quadratic equation is a second order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

The equation showing the relation between shorter and longer skirt is 3s+4t = 140.

Given that the Scottish dance team used 140 yards of tartan to make dancing skirts.

The skirt pattern for the shorter members is 3- yards of fabric, and the skirt pattern for the taller members is 4 yards of fabric.

So, we need to find the equation represents the relationship between the number of short skirts and the number of long skirts that were made,

So, if there are s short skirts and t long skirts,

So,

The relation will be =

3s + 4t = 140

Hence the equation showing the relation between shorter and longer skirt is 3s+4t = 140.

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The answers to all limits are:

(a) lim x → a [ f(x) + 2g(x)] =  -6,

(b) lim x → a [h(x) − 3g(x) + 1] = 13

(c) lim x → a [ f(x)g(x)] = -8

(d) lim x → a [g (x)]² = 16

(e) lim x → a 3√6 + f(x) / 2g(x)

The central limit theorem states that if you take sufficiently large samples from a population, the samples' means will be normally distributed, even if the population isn't normally distributed.

here, we have,

(a) lim x → a [ f(x) + 2g(x)]

= lim x → a f(x) + 2 lim x → a g(x) (using algebraic limit theorem)

= 2 + 2(-4)

= -6

(b) lim x → a [h(x) − 3g(x) + 1]

= lim x → a h(x) - 3 lim x → a g(x) + lim x → a 1 (using algebraic limit theorem)

= 0 - 3(-4) + 1

= 13

(c) lim x → a [ f(x)g(x)]

= lim x → a f(x) * lim x → a g(x) (using algebraic limit theorem)

= 2 * (-4)

= -8

(d) lim x → a [g(x)]²

= [lim x → a g(x)]^2 (using algebraic limit theorem)

= (-4)^2

= 16

(e) lim x → a 3√6 + f(x) / 2g(x)

= [3√6 + lim x → a f(x)] / [2 lim x → a g(x)] (using algebraic limit theorem)

= [3√6 + 2] / [2(-4)]

= (-3√6 - 2) / 8

Therefore, the answers to all limits are:

(a) lim x → a [ f(x) + 2g(x)] =  -6,

(b) lim x → a [h(x) − 3g(x) + 1] = 13

(c) lim x → a [ f(x)g(x)] = -8

(d) lim x → a [g (x)]² = 16

(e) lim x → a 3√6 + f(x) / 2g(x)

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Complete question:

1. Given that

lim

x → a f(x) = 2, lim

x → a g(x) = −4, lim

x → a h(x) = 0

find the limits.

(a) lim

x → a [ f(x) + 2g(x)]

(b) lim

x → a [h(x) − 3g(x) + 1]

(c) lim

x → a [ f(x)g(x)] (d) lim

x → a [g(x)]2

(e) lim

x → a

3

√6 + f(x) (f ) lim

x → a

2

g(x)

Answer:

$2

Step-by-step explanation:

2($10)=$20

$20-$18=$2