Simplify using order of operations.

5³+28 /7-1

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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Answer:

In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.

In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

Step-by-step explanation:

hope it helps :)))

The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)

We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)

a) \((a^2 - b^2)\)

We can write the transpose of this matrix as

\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.

b) (A+B)(A-B)

Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)

Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)

Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.

c) ABA

Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

d) ABAB

Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)

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Answer:

$16.30

Step-by-step explanation:

So if you can buy 3 lollipops for $4.89, then you can by 1 for $1.63. Then 10 lollipops would be $16.30.  

It would cost $16.30 to buy 10 giant lollipops from the candy store.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If you can get 3 giant lollipops for $4.89, the cost of each giant lollipop is:

4.89 ÷ 3

= $1.63

To buy 10 giant lollipops, you would need to pay:

10 x 1.63

= $16.30

Therefore,

It would cost $16.30 to buy 10 giant lollipops from the candy store.

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Problem 1

Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.

=============================================

Problem 2

Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.

Answer:

3 and/or 1.

Step-by-step explanation:

Answer:

1, 3

Step-by-step explanation:

1^2 = 1

1 x 4 = 4

4-1 = 3

3^2 = 9

3 x 4 = 12

12-9 = 3

Answer: the function is a liner

Step-by-step explanation: trust

Answer:

The p-value of the test is 0.0066 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean salary differs from $39,385

Step-by-step explanation:

The average salary for public school teachers for a specific year was reported to be $39,385. Test if the mean salary differs from $39,385

At the null hypothesis, we test if the mean is of $39,385, that is:

\(H_0: \mu = 39385\)

At the alternative hypothesis, we test if the mean differs from this, that is:

\(H_1: \mu \neq 39385\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

39385 is tested at the null hypothesis:

This means that \(\mu = 39385\)

A random sample of 50 public school teachers in a particular state had a mean of $41,680, and the population standard deviation is $5975.

This means that \(n = 50, X = 41680, \sigma = 5975\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{41680 - 39385}{\frac{5975}{\sqrt{50}}}\)

\(z = 2.72\)

P-value of the test and decision:

The p-value of the test is the probability that the sample mean differs from 39385 by at least 2295, which is P(|Z| > 2.72), which is 2 multiplied by the p-value of Z = -2.72.

Looking at the z-table, Z = -2.72 has a p-value of 0.0033

2*0.0033 = 0.0066

The p-value of the test is 0.0066 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean salary differs from $39,385

uh it's 4 yes. the answer would be 4

Answer:

it's 4

hope it is helpful to you

Answer:

x / 5 + 10 or

Step-by-step explanation:

Answer:

813

* 9. 9*800= 7200

9*10. =90

7200

90. 9*3. =27

27

7317

The partial product is 7317.

The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. (So, the 2 in 23 would actually be 20.)

Given:

9 x 813

Now, breaking the number according to their place value.

So, 813

=(800 + 10 +3)

Then the partial product will be written as

=9 * (800 + 10 +3)

=9* 800+ 9*10 + 9*3

=7200 + 90 + 27

= 7317

Hence, the partial product is 7317.

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The given sequence is

To find the explicit formula, first, we have to find the difference by subtracting two consecutive terms.

As you can observe, the difference is 4.

From the sequence, we observe that the first term is -7.

The formula for arithmetic sequences is

Now, let's replace the values we've got.

Then, we simplify.

Answer:

  B.  A point

Step-by-step explanation:

You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.

The vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.

The intersection is one point.

__

Additional comment

Figure f in the attachment illustrates this case.

Molina jumped the greatest distance at a long jump competition which is 9.601 feet

Decimal: A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.

Given in the question that, the distance each of four students jumped a long jump competition

Student Distance

Aleena  9.46 feet

Susan    9.068 feet

Molina   9.601 feet

Anna      9.04 feet

let us compare the feet jumped by the  students

write them in ascending order to get the highest feet based on decimal values

9.04, 9.068, 9.46, 9.601

by checking the order we can confirm that 9.601 feet is the highest

9.601 feet long jump was done by Molina

so we can conclude that Molina jumped the greatest distance

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The z-score, if the house price is $650,000 with a mean of $652,064 and a standard deviation of $127,622 is -0.0162.

The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.

Given:

The price of the house, x = $650000,

The mean, m = $652064,

The standard deviation, d = $127622

Calculate the z score by the following formula,

Z = x - m / d

Here, Z is the z score.

Substitute the values,

Z = 650000 - 652064 / 127622

Z = -0.0162

Therefore, the z-score, if the house price is $650,000 with a mean of $652,064 and a standard deviation of $127,622 is -0.0162.

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Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

The result is that x = 8 is the smallest positive number such that f(x) surpasses g(x).

An integer is a whole number that may be positive, minus, or zero and is not a percentage. Integer examples include: -5, 1, 5, 8, 97, as well as 3,043. The following figures are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

To find the smallest positive integer x for which f(x) exceeds g(x)

we need to set the two functions equal to each other and solve for x:

f(x) = g(x)

-x² + 5x = -10x + 10

Simplifying the equation, we get:

x² + 15x - 10 = 0

Using the quadratic formula, we can solve for x:

x = (-15 ± sqrt(15² - 4(1)(-10))) / (2(1))

x = (-15 ± sqrt(265)) / 2

The two possible solutions are approximately -0.372 and -14.628. Since we are looking for the smallest positive integer solution, we take the ceiling of the positive solution to get x = 8.

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Answer:

Question 1

The function \(f(x) = x + 6\) is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so \(f^{-1}(x)=x-6\)

Therefore, g(x) is the inverse of f(x).

Question 2

The function \(f(x) = -3x -9\) is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

\(\implies y = -3x -9\)

Rearrange the equation to make x the subject:

\(\implies y+9= -3x\)

\(\implies x=-\dfrac13(y+9)\)

\(\implies x=-\dfrac13y-3\)

Replace x with \(f^{-1}(x)\) and y with x:

\(\implies f^{-1}(x)=-\dfrac13x-3\)

Therefore, g(x) is the inverse of f(x).

Answer:

Lol thats great 10/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

mario and luigi wins

Answer:

use a contractor or protractor or whatever theyre called

Step-by-step explanation:

i just need points to ask another question

Answer:

point B

Step-by-step explanation:

it turns in to -1 1/2

Answer:

b

Step-by-step explanation:

We can see here that the measurements that can create more than one triangle is option A. The one that refers to the three angles measuring 75 degrees...

Triangles are known to be three-sided polygons having three vertices. It is one of the basic geometric forms. The name for a triangle with vertices A, B, and C is triangle ABC.

We must think about the triangle inequality theorem, which states that the total of the lengths of any two sides of a triangle must be greater than the length of the remaining side, to figure out which measurements can produce more than one triangle.

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Answer:45%

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Fill in the variables so...

44 - 5 *3

Multiply

44 - 15

Subtract

29

Answer:

29

Step-by-step explanation:

when b=44,a=3

B - 5a

add the values to the letters

44 - 5(3)

multiply 5 by 3

44 - 15

Substrat the numbers

29

Answer:

do the butterfly method if you don't know how to do that comment and I'll show you a screenshot

The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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Answer: 200 miles

Step-by-step explanation: First divide 150 by 3 = 50, then multiply by 4 = 200 miles.

You can drive 200 miles with one tank of gas.

3/4 of a tank ---> 150 miles

1 full tank ---> x amount of miles

x = (1 full tank * 150 miles) / 3/4 of a tank

x = (1 * 150) / 3/4=  200 miles.

Check the attached image to better understand how a rule of 3 is solved. Beware that this procedure only applied when there is direct proportionality between the variables.

You can drive 200 miles with one tank of gas.

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The correct answers are A. Quadrilateral, B. Square, and D. Parallelogram

Explanation:

The shape in black has four sides and four angles; additionally, all the sides are equal in length. In this context, the shape can be defined as a square because squares have 4 identical sides and 4 angles. Besides this, the shape is a quadrilateral or a shape with four sides. Finally, this is also a parallelogram which means its opposite sides are parallel, this is because the top and the bottom line (opposite sides) have the same angle and these lines would never intersect, therefore they are parallel. This also occurs with the bottom and top lines or sides.  

On the other hand, this shape cannot be classified as a rectangle because rectangles have four sides by these are not equal in length.