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Step-by-step explanation:

perimeter =5x. where x is the side length

If an inequality contains the less than symbol (<) or greater than symbol (>), its graph would be a dotted or dashed line.

This is because these symbols indicate that the boundary line is not included in the solution set. For example, the inequality x > 3 would have a dotted line at x = 3, indicating that 3 is not included in the solution set. On the other hand, if the inequality contains the less than or equal to symbol (≤) or greater than or equal to symbol (≥), its graph would be a solid line.

This is because these symbols indicate that the boundary line is included in the solution set. For example, the inequality y ≤ 2 would have a solid line at y = 2, indicating that 2 is included in the solution set.

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Answer:

37

Step-by-step explanation:

The probability that both batteries pass the test is; 11/20

Total Number of Batteries tested = 16

Number of Batteries that fail the Test = 4

Number of batteries selected at Random = 2

Probability that both batteries fail the test = (4/16) * (3/15)

Probability that both batteries passed the test = 12/16 * 11/15 = 11/20

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Answer:

  4

Step-by-step explanation:

You want the least positive integer x such that ...

  1/x +9/10 > 4/x

  9/10 > 3/x . . . . subtract 1/x

  3/10 > 1/x . . . . .divide by 3

  x > 10/3 . . . . . multiply by 10x/3

The least positive integer satisfying this requirement is x = 4.

Answer:

2(4)^-2

=2/4^2

2/16

1/8

thanks

Answer:

f(- 2) = \(\frac{1}{8}\)

Step-by-step explanation:

To find f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = 2 \((4)^{-2}\) = 2 × \(\frac{1}{4^2}\) = 2 × \(\frac{1}{16}\) = \(\frac{2}{16}\) = \(\frac{1}{8}\)

Answer:

A) the middle number in a numerical data set when the values have been arranged in numerical order.

Answer:

2x - 2y or x -2y or 0pick one out of the three

Answer:

B

Step-by-step explanation:

So we have the equation:

\(4xz-4yz=5\)

And we want to find the value of 5/4x in terms of x and y.

From our original equation, let's factor out a 4z from the left. So:

\(4z(x-y)=5\)

Now, divide both sides by 4z:

\(x-y=\frac{5}{4z}\)

Therefore, the expression that represents 5/4z is x-y.

The correct answer is B.

a)From this 230 is divisible by 10.Then 995 and 526 are not divisible by 10.b)From this 230 and 995 are divisible by 5 and 526 is not divisible by 5.c) From this 230,995,526 are divisible by 2.

Divisibility by 10: A number is divisible by 10 if its last digit is 0. Therefore, 230 is divisible by 10 since its last digit is 0. 995 and 526 are not divisible by 10 since their last digits are not 0. The mathematical formula for divisibility by 10 is: (10 | N) = 0,Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 230. (10 | 230) = 0230/10 = 23 Therefore, 230 is divisible by 10. Divisibility by 5: A number is divisible by 5 if its last digit is 0 or 5. Therefore, 230 and 995 are divisible by 5 since their last digits are 0 and 5 respectively. 526 is not divisible by 5 since its last digit is not 0 or 5. The mathematical formula for divisibility by 5 is: (5 | N) = 0Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 995. (5 | 995) = 0995/5 = 199 .Therefore, 995 is divisible by 5. Divisibility by 2: A number is divisible by 2 if its last digit is 0, 2, 4, 6 or 8. Therefore, 230, 995, and 526 are all divisible by 2 since their last digits are 0, 5 and 6 respectively. The mathematical formula for divisibility by 2 is: (2 | N) = 0Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 526. (2 | 526) = 0.526/2 = 263 .Therefore, 526 is divisible by 2.

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Answer:

To find the percent markup, we can use the following formula:

Markup = (selling price - cost price) / cost price * 100

We know that the department store buys 100 shirts at a cost of $1,200 and sells them at a selling price of $20 each.

Markup = ($20 - $12) / $12 * 100

Markup = $8 / $12 * 100

Markup = 2/3 * 100

Markup = 67%

So the percent markup is 67%.

If a nonlinear system of equations contains one linear function that touches the quadratic function at its minimum, then the system has exactly one solution.

This is because the linear function intersects the quadratic function at its minimum point, where there is only one value of x that satisfies both equations.
If a nonlinear system of equations contains one linear function that touches the quadratic function at its minimum, then the system has one unique solution.
Here's a step-by-step explanation:
1. A nonlinear system is a set of equations where at least one of the equations is not linear.
2. In this case, the nonlinear system contains one linear function and one quadratic function.
3. The quadratic function has a minimum point, which is the lowest point of its parabolic graph.
4. The linear function touches the quadratic function at its minimum, which means they intersect at exactly that point.
5. Since the two functions intersect at one point, the system has one unique solution, which corresponds to the coordinates of that intersection point.

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When salt is added to water, the boiling point of water is increased. The boiling point elevation depends on the concentration of salt added. The addition of salt increases the boiling point of water.

The extent of the increase in boiling point is directly proportional to the amount of salt added. Boiling point is defined as the temperature at which the vapor pressure of a liquid is equal to the pressure exerted on it by the surrounding atmosphere.

In layman's terms, this means that a liquid boils when its vapor pressure equals atmospheric pressure. Boiling point of a liquid can be increased or decreased by the addition of solutes such as salt.When a solute such as salt is added to water, the boiling point of water increases due to the phenomenon of boiling point elevation.

This is because the solute particles in the water interfere with the formation of water vapor molecules at the surface of the liquid. As a result, more energy is required to boil the water, which means that the boiling point is elevated.

The amount of elevation is directly proportional to the concentration of salt added. In short, the addition of salt to water increases the boiling point of water.

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Answer

55$

Step-by-step explanation:

Answer:

  15

Step-by-step explanation:

Each bracelet takes 28+10 = 38 elastic bands. If you have 600 bands, you can make ...

  600/38 = 15 30/38 . . . bracelets

You can make 15 complete bracelets.

__

You will have 30 elastic bands left over.

Step-by-step explanation:

1/2 is equal to 0.5 and 5/4 is equal to 1.25

0.5_1.25

Which is greater?

1.25 by a long shot

Then we convert back to fractions.

The answer is 1/2<5/4

Hope it helps!

Answer:

1/2 is 50% and 5/4 = 125%

Step-by-step explanation:

The 0.0721 proportion of students have less height than Ikue's height. It can be obtained by Z score table and Z score formula.

What is the formula of Z score?

The Z score is given by the following expression:

\(Z=\frac{x-\mu}{\sigma}\)

Here, Z is the Z score, x is the observed value, \(\mu\) is the mean and \(\sigma\) is the standered deviation.

We need to watch the negative Z score if we want the proportion of students less than the observed value and we need to watch the positive Z score if we want the proportion of students more than the observed value.

Substitute 90.4 for x, 105 for \(\mu\), and 10 for \(\sigma\) in the above equation.

\(Z=\frac{90.4-105}{10}\\=-1.46\)

Since we need to find the proportion of student heights lower than ikue's height hence, watch the value of negative z score in the z table. Watch the value in frunt of - 1.4 and below 0.06. It is 0.0721.

Hence, 0.0721 proportion of students have less height than Ikue's height.

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Answer:

12.0

Step-by-step explanation:

Given the two points shown on the graph above, assuming 1 unit = 1 box, the coordinates of the two points are: (2, 7) and (-6, -2)

Use the distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2} \), to find the distance between points (2, 7) and (-6, -2)

Let,

\( (2, 7) = (x_1, y_1) \)

\( (-6, -2) = (x_2, y_2) \)

\( d = \sqrt{(-6 - 2)^2 + (-2 - 7)^2} \)

\( d = \sqrt{(-8)^2 + (-9)^2} \)

\( d = \sqrt{64 + 81} = \sqrt{145} = 12.0 units \) (nearest tenth)

Answer:

108

Step-by-step explanation:

The volume of the truck is 10*12*14=1680

So, answer = the volume of the truck / the volume of a cube

answer= 1680/15.625=107.52 = 108.

Given:

The sequence is 5, 15, 25, ... .

To find:

The explicit formula for the nth term of the given sequence.

Solution:

We have,

5, 15, 25, ...

It is an AP because the difference between two consecutive terms are same.

Here,

First term : a = 5

Common difference : d = 15 - 5 = 10

Now, the explicit formula for the nth term of an AP is

\(a_n=a+(n-1)d\)

Where, a is the first term and d is the common difference.

\(a_n=5+(n-1)10\)

\(a_n=5+10n-10\)

\(a_n=10n-5\)

Therefore, the required explicit formula for the given sequence is \(a_n=10n-5\).

The set of negative even numbers and the set of natural numbers have the same size or cardinality.

To prove that the set of negative even numbers and the set of natural numbers have the same size, we need to show that there exists a bijection (one-to-one correspondence) between the two sets. Consider the function f: N → Z, where N is the set of natural numbers and Z is the set of integers. This function maps every natural number n to the integer -2n. In other words, f(n) = -2n for all n ∈ N. Now, let A be the set of negative even numbers. We can define a function g: A → N as follows:

For every a ∈ A, let g(a) = -a/2. It is easy to see that g is a bijection. In other words, g is both injective and surjective. To show that g is injective, suppose that g(a) = g(b) for some a, b ∈ A. Then, we have -a/2 = -b/2, which implies that a = b. Thus, g is injective. To show that g is surjective, let n be an arbitrary natural number. Then, we can write n = -2m for some m ∈ N. Let a = -2m, which is a negative even number. Then, we have g(a) = -a/2 = m = n. Thus, g is surjective. Since g is a bijection, it follows that the sets A and N have the same size or cardinality. Therefore, even if we add in negative even numbers, the resulting set will still have the same size as the natural numbers.

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Answer:

it is - 15 please mark me brainliest

Answer:

− 4 n − 5

Step-by-step explanation:

Simplify the expression.

If the ratio increases the power of x, there is no upper limit. If the ratio reduces the power of x to zero, the limit is zero.

An ordered pair of numbers namely a b that is stated as a / b, with b not equal to zero, is referred to as a ratio. A ratio is a result of equating two ratios. In this case, the ratio would be 1:3 (one boy to three girls), meaning that 3/4 of the population is female and only 1/4 is male. A part is a number, a proportion of size, or a difference between two or more things.

As x gets bigger, the upper bound is the ratio of something like the highest-degree words.

the ratio increases the power of x, there is no upper limit. If the ratio reduces the power of x to zero, the limit is zero.

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The probability distribution of X is:

X | P(X)

0 | 1/4

1 | 1/2

2 | 1/4

When tossing a fair coin twice, we can determine the probability distribution of the random variable X, which represents the number of heads obtained. Let's calculate the probabilities for each possible value of X:

When X = 0 (no heads):

The outcomes can be TT, and the probability of getting two tails is 1/4.

When X = 1 (one head):

The outcomes can be HT or TH, and each has a probability of 1/4.

So, the probability of getting one head is 1/4 + 1/4 = 1/2.

When X = 2 (two heads):

The outcome can be HH, and the probability of getting two heads is 1/4.

Therefore, the probability distribution of X is:

X | P(X)

0 | 1/4

1 | 1/2

2 | 1/4

This distribution shows that there is a 1/4 probability of getting no heads, a 1/2 probability of getting one head, and a 1/4 probability of getting two heads when tossing a fair coin twice.

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Christo and Jeanne-Claude worked for over 26 years on "The Gates," a large-scale public art installation in Central Park consisting of thousands of saffron-colored fabric panels along 23 miles of walkways, which was on display for 16 days in February 2005.

Christo and Jeanne-Claude were artists known for their large-scale public art installations. "The Gates" was a project they worked on for over 26 years, from its conception in 1979 to its installation in Central Park in February 2005. The installation involved placing thousands of saffron-colored fabric panels along 23 miles of walkways in the park, creating a visually stunning and immersive experience for visitors.

The project was met with both praise and criticism, but it ultimately succeeded in bringing people together to appreciate art in a public space. The installation remained in place for 16 days before it was dismantled.

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The set is closed under addition and scalar multiplication, it forms a vector space.

To show that the set of functions f(x,y) = a1x + a2y + a3xy, where the ai are real constants, is a vector space, we need to show that it is closed under ordinary function addition and scalar multiplication.

First, we will show that the set is closed under addition. Let f1(x,y) = a1x + a2y + a3xy and f2(x,y) = b1x + b2y + b3xy be two functions in the set. Then, their sum is given by:

f1(x,y) + f2(x,y) = (a1 + b1)x + (a2 + b2)y + (a3 + b3)xy

Since the sum is also in the same form as the original functions, it is clear that the set is closed under addition.

Next, we will show that the set is closed under scalar multiplication. Let c be any real number and let f(x,y) = a1x + a2y + a3xy be a function in the set. Then, the scalar multiple of f is given by:

c * f(x,y) = (ca1)x + (ca2)y + (ca3)xy

Again, since the scalar multiple is also in the same form as the original function, it is clear that the set is closed under scalar multiplication.

Therefore, since the set is closed under addition and scalar multiplication, it forms a vector space.

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Answer:

C. X = 3

Step-by-step explanation:

Multiply both sides by 5 to remove fractions

2x = 6

divide by 2

x = 3

Thus, we cannot reject the null hypothesis and cannot conclude that there is a significant difference in the mean prices.

Based on the given information, we can compare the mean price of hotel rooms in Atlanta and Houston using their respective population standard deviations ($15 for Atlanta and $20 for Houston).

To determine if the mean price in Atlanta is lower than in Houston, we would conduct a hypothesis test.

The null hypothesis (H0) is that the mean price in Atlanta is greater than or equal to the mean price in Houston.

The alternative hypothesis (H1) is that the mean price in Atlanta is lower than the mean price in Houston.

To perform the hypothesis test, we would need the sample data from the Hotel file and calculate the sample means for both cities.

Using the sample means and the population standard deviations, we can calculate the test statistic and compare it to a critical value or find the p-value.

If the test statistic falls in the rejection region or the p-value is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the mean price of a hotel room in Atlanta is lower than one in Houston.

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