Write the equation of the line that has a slope of 1 and goes through the point (2, 3). Hint: Use y = mx+b

Answer:

square root of 25

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

the square root of 25 is 5, and thats the only rational number there

I hope I was helpful! :D

Answer:

D. In a chemical change, a new substance forms.

Step-by-step explanation:

The chemical reaction produces a new substance with new and different physical and chemical properties.

(hope this helps :P)

Remember that vertical angles don't share any side, they are completely opposite about the vertex.

Having said that, the vertical angles are:

• Angle 2 and angle 3.

• Angle 1 and angle 4.

• Angle 5 and Angle 8.

• Angle 6 and angle 7.

Answer:

2(p - 10)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Translate

"Twice" is multiplied by 2.

"Difference" is subtraction.

"p" is p.

"10" is 10.

Step 2: Write expression

2(p - 10)

2p - 20

There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.

To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.

Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):

Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.

Therefore, the probability that a randomly selected student scored A or B

in Biostatistics is:

Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.

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Answer:

$30

Step-by-step explanation:

An 86% confidence interval for the difference in age to leave mother is -3.10091

What is confidence Interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given, Gorilla Baby sample

x means x bar here so, \(x_{1}\) = 3.21

\(s_{1}\) = 0.81

\(n_{1}\) = 64

Human Baby sample

x means x bar here so, \(x_{2}\) = 19.1

\(s_{2}\) = 2.16

\(n_{2}\) = 200

Confidence interval needs t score

t score = 1.18

86% confidence interval = \(x_{1}\) - \(x_{2}\) ± tc \(\sqrt{s^{2} {1} / n_{2} + s^{2} {2} / n_{2}\)

= 3.21 - 19.1 ± 1.18 √0.81²/64 +2.16²/200

= 3.21 - 19.1 ± 1.18 √0.033

= -3.10091

An 86% confidence interval for the difference in age to leave mother is -3.10091

The detail question is here,

A study based on the Association primate Ebmarah looked at the average age a baby gorilla leaves it’s mother versus the average age the human baby leaves it’s mother . Naturally they are different , so we don’t want a hypothesis test. Instead, find an  86% confidence interval  for the difference in age to leave mother.

Gorilla:

Sampled 64 babies

Stayed with mother on average 3.21 years

Standard deviation:  0.81

Human:

Sampled  200 babies

Stayed with mother on average 19.1 years

Standard deviation:  2.16

Matched  pairs  standard deviation :0.23

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answer is here about stem and leaf

Answer:√x

Step-by-step explanation:

I am assuming the equation says \(f^{-1}(x)=x^{2}\)

What you do is put x instead of \(f^{-1}(x)\) and y² instead of x²

So x = y²

Rearrange for y

y = √x

Replace y with f(x)

f(x) = √x

Answer: 20% of 160 is 32.

Step-by-step explanation:

The percentage is from the word percent which means one part in a hundred. It is a part of the base or the whole determined by the rate. Usually, the percentage is smaller than the base. However, there are also cases where the percentage is greater than the base. This happens when the percent is greater than 100%.

To find the percentage, you have to multiply the base and the rate. The base is the 100% or original amount or the whole while the rate is the ratio of the percentage to the base and it has the percent sign (%). Remember that you have to convert the rate to a decimal number by moving the decimal point twice to the left.

Let us now find the 20% of 160.

20% = 0.2

percentage = 160 × 0.2

= 32

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

1.  A positive

2. 0/zero

3- Positive

4- Positive and negative numbers

5- Positive numbers

I'm not too sure but I hope this helps.. you can wait for another answer to be sure

If Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

To show that x is also an eigenvector of QT, we need to demonstrate that QT * x is a scalar multiple of x.

Given that Q is an orthogonal matrix, we know that QT * Q = I, where I is the identity matrix. This implies that Q * QT = I as well.

Let's denote x as the eigenvector corresponding to the eigenvalue λ1 This means that Q * x = λ1 * x.

Now, let's consider QT * x. We can multiply both sides of the equation Q * x = λ1 * x by QT:

QT * (Q * x) = QT * (λ1 * x)

Applying the associative property of matrix multiplication, we have:

(QT * Q) * x = λ1 * (QT * x)

Using the fact that Q * QT = I, we can simplify further:

I * x = λ1 * (QT * x)

Since I * x equals x, we have:

x = λ1 * (QT * x)

Now, notice that λ1 * (QT * x) is a scalar multiple of x, where the scalar is λ1. Therefore, we can rewrite the equation as:

x = λ2 * x

where λ2 = λ1 * (QT * x).

This shows that x is indeed an eigenvector of QT, with the eigenvalue λ2 = λ1 * (QT * x).

In conclusion, if Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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Answer:

193.2

Step-by-step explanation:

27.6x7 \(27.7\\ x 7\\--------\\ 19.39\)

Answer:

here,

A=2×22÷7×17/2×21

A=22×17×3

A=1122 sq.cm

Hi!

Your answer is 61 seconds.

If he was 6 seconds faster then we simply subtract 6 from one minute seven seconds.

One minute is 60 seconds, plus 7 seconds, is 67 seconds.

67 - 6 = 61

Hope this helps! :0)

Answer:

The height of the kite is 48.54 feet

The angle of elevation is 76.11°

Step-by-step explanation:

To find the height of the kite, we can use the Pythagoras' theorem in the triangle created by the length of the string (hypotenuse), the height of the kite and the distance to the umbrella (catheti).

Then, we have:

50^2 = 12^2 + height^2

height^2 = 2500 - 144

height^2 = 2356

height = 48.54 ft

So the kite is 48.54 feet high in the air.

The angle of elevation can be calculated using the cosine relation:

cos(angle) = 12 / 50

cos(angle) = 0.24

angle = 76.11°

Answer:

(a) \(P(Online\ Training) = 0.750\)

(b) \(Pr = 0.169\) --- Quality Division and Online Training

(c) \(P(A\ |\ B) = 0.686\) --- Online Training given Sales Division

Step-by-step explanation:

Given

The two-way table

Solving (a): P(Online Training)

The total employee is:

\(Total = 136\)

The employees for online training is:

\(Online\ Training = 102\)

So, the probability is:

\(P(Online\ Training) = \frac{102}{136}\)

\(P(Online\ Training) = 0.750\)

Solving (b): P(Quality Division and Online Training)

The number of employees that choose quality Division and online training is 23

So, the probability is:

\(Pr = \frac{23}{136}\)

\(Pr = 0.169\)

Solving (c): P(Online Training | Sales Division)

This is calculated as:

Let:

\(A \to\) Online training

\(B \to\) Sales division

So, we have:

\(P(A\ |\ B) = \frac{n(A\ n\ B)}{n(B)}\)

From the table:

\(n(A\ n\ B) =35\)

\(n(B) = 16 + 35 = 51\)

So, the probability is:

\(P(A\ |\ B) = \frac{35}{51}\)

\(P(A\ |\ B) = 0.686\)

Answer: 8 x 2 = s + 4

Answer:

(6, 6)

Step-by-step explanation:

T (-1, 2) = move down 1, right 2

(1, 4) turns into (3, 3)

Dilation scale factor = 2

Multiply x and y value by 2

(3, 3) = (6, 6)

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

5 percent

Step-by-step explanation:

100/40=2.5

2.5*2=5

Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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The total area of all six sides that will be painted on the wooden cube is 96 square centimeters.

First, we need to understand that each cube has six faces or sides, which are all squares of the same size. When we paint the cube, we will be painting all six sides of it. Therefore, we need to find the total area of all six sides that will be painted.

To calculate the area of each side, we need to know the length of the side. You mentioned that the wooden blocks are cubes, so each side will have the same length. Let's say the length of each side is 4 cm.

Now, we can calculate the area of one side of the cube by squaring the length of the side. In this case, the area of one side will be:

Area of one side = (length of side)²

= (4 cm)²

= 16 cm²

Since there are six sides to each cube, we can find the total area of all six sides by multiplying the area of one side by six:

Total painted area = 6 x Area of one side

= 6 x 16 cm²

= 96 cm²

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The outlier of a dataset is a data element that is relatively far from the remaining data elements

(a) Prove that 99 is an outlier for Pet

We have:

Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99

\(n = 15\)

The quartiles positions are:

\(Q_1 = \frac{n + 1}{4}\)

\(Q_1 = \frac{15 + 1}{4}\)

\(Q_1 = \frac{16}{4}\)

\(Q_1 = 4th\)

\(Q_3 = Q_1 \times 3\)

\(Q_3 = 4th \times 3\)

\(Q_3 = 12th\)

So, we have:

\(Q_1 = 4th\)

\(Q_3 = 12th\)

From the pet group:

The data elements at the 4th and 12th positions are 68 and 79

So, we have:

\(Q_1 = 68\)

\(Q_3= 79\)

The lower and upper limits of the outlier are:

\(L = Q_1 - 1.5 \times (Q_3 - Q_1)\)

\(U = Q_3 + 1.5 \times (Q_3 - Q_1)\)

So, we have:

\(L = 68 - 1.5 \times (79 - 68)\)

\(L = 51.5\)

\(U = 79+ 1.5 \times (79 - 68)\)

\(U = 95.5\)

This means that data below 51.5 or above 95.5 are outliers.

Hence, 99 is an outlier because 99 is greater than 95.5

(b) The parallel box plot

The three groups are:

Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99

Erlento: 88 80 80 81 92 87 88 81 82 80 87 92 87 80 82

Alone: 62 70 73 75 77 80 84 84 84 87 87 87 90 91 99

See attachment for the parallel box plots

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Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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