write the equation of a line parallel to the line 2x-3y=6 that passes through (-4,-1)

We will have the following:

We know that a standard deck of cards has 52 cards, composed of 4 sets, from which each set is composed of:

ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king.

Now, the probability of getting a 2 is:

And the probability of getting an odd number card [assuming the ace counts as a 1] will be:

So, the probability of the evens happening one after the other is:

So, the probability is approximately 0.03.

Answer:

The correct answer is Integer ;)

Thus, the percentile rank of just an 85 on a test is: 70 percentile for the given test​ scores.

A percentile in statistics refers to a score's position in relation to other scores in a given set. Although percentile has no one fixed meaning, it is frequently described as the proportion of numbers within a collection of data scores that are lower than a particular value.

Percentile shows the proportion of persons who fall below a given value. When we declare that a score of 365 out of 400 represents the 90% percentile on an exam, it means that 90% of test-takers received scores that were lower than or equal to 365.

Give: Seven of the ten test results are inside the 85th percentile.

The percentage of those who received less than or equal to 85 is just as follows: 7/10 = 0.7.

percentile rank:

0.7*100 = 70

Thus, the percentile rank of just an 85 on a test is: 70 percentile for the given test​ scores.

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Answer:

5n - 10

Step-by-step explanation:

Put this in numerals and signs:

Ten less than the product of 5 and a number

10      -                     5n

We already have 10 and 5.

Less than means to subtract

Since we do not know what the "number" truly is, we can use a variable. I will choose the letter, n.

Product means to multiply, times, so that would be 5 times n, but we do not need the symbol, ×, because as long as it is next to the number, it means multiplication.

Since 10 is less than 5n, 5n is greater than 10, which means 10 would be behind the minus sign.

Therefore, the expression is 5n - 10

Answer:

Explanation:

The word "less" defines subtraction. This means that the minuend is 5a. and ten is the subtrahend.

Hence, the expression is 5a - 10.

Answer: 37.9 ft

Step-by-step explanation:

concept to know: trigonometric relation (sine, cosine, tangent)

In this case, we use cosine (adjacent/hypotenuse)

   cos (65)=16/x

16/ cos(65)=x

               x=37.9 ft (rounded)

The width of the rectangle whose perimeter is 37 cm is 6.25 cm.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The length of a rectangle is 6 cm more than its width, w cm.

So, the length = w + 6

The perimeter of the rectangle is 37 cm.

Then, Perimeter of the rectangle = 37

2(l+ w) = 37

2( w+ 6 +w )= 37

2(2w + 6)= 37

4w + 12 = 37

4w = 25

w = 6.25 cm

and, length = w+ 6 = 6 + 6.25 = 12.25 cm

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Answer:

26,568

Step-by-step explanation:

so the original mileage was 23,568  and when you need another oil change is in 3000 miles so you add 3000 to 23,568 to get 26,568

Answer:d is the correct answer.

Step-by-step explanation:

Looking at the data, we can see that both the high as well as low temperatures of Monday, Tuesday, Thursday, & Friday were above \(O^{o}C\). The high on Wednesday was minus zero degrees Celsius.

The most popular scales are indeed the Celsius scale, sometimes known as centigrade, with the unit sign °C, the Franklin level (°F), and the Scale parameter (K), with the latter being mostly used for scientific reasons.

The total kinetic energy of a substance's particles is measured by its temperature. 2. An object's kinetic energy increases with increasing temperature. 3. If we add up the instances where the maximum and low temps were in excess of or below zero degrees Celsius, we find:

High temperature above \(O^{o}C\): 5 days

High temperature below \(O^{o}C\): 2 days

Low temperature above \(O^{o}C\): 3 days

Low temperature below \(O^{o}C\): 4 days

Therefore, we can see that overall, there were more days where the temperatures were below \(O^{o}C\), both for the high and low temperatures.

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The complete question is:

In Vienna were more of the high and low temperatures above or below \(O^{o}C\) justify your answer using a vertical number line

Days                        high temperature      low temperature

Monday                            8                           0

Tuesday                            9                          -4.5

Wednesday                      4.5                       -12

Thursday                           9                          4.5

Friday                                8.5                       -6

Saturday                           1                           -10

Sunday                             5                           -14

37. The other alternate angle has the same measure of 60 degrees.

38. The other alternate angle has the same measure of 60 degrees.

39. The measure of the other vertical angle is also 80 degrees.

40. The other adjacent angle has a measure of 135 degrees (180 degrees - 45 degrees).

37. Measure of alternate interior angles in a pair of parallel lines crossed by a transversal, if one angle measures 60 degrees. The pair of alternate interior angles are the two angles that are on the opposite sides of the transversal line. When a pair of parallel lines are crossed by a transversal line, then alternate interior angles are congruent. Therefore, the other alternate angle has the same measure of 60 degrees.

38. Measure of corresponding angles in a pair of parallel lines crossed by a transversal, if one angle measures 40 degrees.The corresponding angles are the two angles that are in the same position on the parallel lines that are on either side of the transversal line. When a pair of parallel lines are crossed by a transversal line, then the corresponding angles are congruent. Therefore, the other corresponding angle has the same measure of 40 degrees.

39. Measure of vertical angles, if one angle measures 80 degrees. Vertical angles are the angles that are opposite each other when two lines intersect. They are always equal to each other. Therefore, the measure of the other vertical angle is also 80 degrees.

40. Measure of adjacent angles, if one angle measures 45 degrees. Adjacent angles are the two angles that share the same vertex and a common side. The sum of adjacent angles is equal to 180 degrees. Therefore, the other adjacent angle has a measure of 135 degrees (180 degrees - 45 degrees).

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Answer:

Step by step explanation:

Given that,

\(f(x) = {x}^{2} \)

\(g(x) = x - 1\)

Solution:

Solving for (f•g)(x):

\( = f(x) \cdot g(x)\)

Now substitute the given values.

\( = x {}^{2} \cdot(x - 1)\)

\( = x {}^{2} (x - 1)\)

Apply distributive property:

\( = (x ^{2} \cdot x) - x {}^{2} \cdot 1\)

Hence,f•g(x) will be \( x {}^{3} - x {}^{2}\).

Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

Answer: 8.06 Inches

The area of the circle is 28.26 ft². 3. The diameter of the circle is 8.06 inches.

The equation of the line of best fit is: y = (-2/3)x + 26/3

To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the points:

m = (2 - 4) / (10 - 7)

m = -2 / 3

Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):

4 = (-2/3)(7) + b

4 = -14/3 + b

To find the value of b, we can rearrange the equation:

b = 4 + 14/3

b = 12/3 + 14/3

b = 26/3

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Answer:

The correct answer would be \(a=\sqrt{c^2-b^2}\)

Step-by-step explanation:

given \(a^2+b^2=c^2\) we want to solve for a

How?

We can do this by using basic algebra ( isolating the variable (a ))

Step 1 subtract \(b^2\) from each side

\(a^2+b^2-b^2=a^2\\c^2-b^2=c^2-b^2\)

now we have \(a^2=c^2-b^2\)

step 2 take the square root of each side

\(\sqrt{a^2} =a\\\sqrt{c^2-b^2} =\sqrt{c^2-b^2}\)

we're left with \(a=\sqrt{c^2-b^2}\)

Hence your answer is A

Answer:

45

Step-by-step explanation:

Multiply 75 by 0.6:

75(0.6)

= 45

So, 45 well done burgers were served

Answer:

a number which produces a specified quantity when multiplied by itself

Step-by-step explanation:

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 x 3 = 9. The symbol for the square root is "√". So, √9 = 3.

There are two types of square roots: the principal square root and the negative square root. The principal square root is the positive value that, when multiplied by itself, gives the original number. The negative square root is the negative value that, when multiplied by itself, gives the original number. For example, the square roots of 9 are 3 and -3, because both 3 x 3 = 9 and -3 x -3 = 9.

The square root of a number can be approximated using a calculator or can be found using mathematical techniques such as the Newton-Raphson method. The square root of a number can also be expressed as an irrational number, meaning that it cannot be expressed as a fraction of two integers. For example, the square root of 2 is an irrational number that cannot be expressed exactly as a fraction.

Answer:

D.

Step-by-step explanation:

To tell whether the domains can include 0, all you need to do is find where x = 0, and whether the y-value is real.

h(x) = sqrt(2x^2 + 5x - 3)

= sqrt(0^2 + 5 * 0 - 3)

= sqrt(-3)

Since this includes the square root of a negative number, h(0) is an imaginary number. That means that we can eliminate choices A and B.

If you look at the graph of w(x), when x = 0, there is a real value for the y-value on the graph. But, if you think about it, if you have 0 workers, there is no way that you can still be producing wrenches. So, the domain cannot contain 0.

Your answer will be D.

Hope this helps!!

Answer: 3a+6a+6+6

Step-by-step explanation:

Answer:

3(3a + 2)

Step-by-step explanation:

The part of Jillian's plan which requires revision is that,

C. Jillian should have found the intersection of two perpendicular bisectors of triangle QRS instead of two altitudes.

Given an acute, scalene triangle QRS.

Jillian has to draw a circle which passes through all of the vertices of the triangle, that is, Q, R and S.

This circle is the circumcircle of the triangle.

In order to draw a circumcircle, it is first required to draw the perpendicular bisectors of any of the two sides.

Then the intersecting point has to be kept as the center and then draw a circle which passes through any of the vertex and it will automatically pass through all vertices.

Hence the correct option is C.

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The simplified expression is  d/ c⁴.

To simplify the expression cd³ c⁻⁵ x d⁻², we can combine the variables with the same base (c and d) by adding their exponents:

Using the property of exponents as

When multiplying two exponential expressions with the same base, you can add the exponents. This can be expressed as follows:

aᵇ x aⁿ= aᵇ⁺ⁿ

When dividing two exponential expressions with the same base, you can subtract the exponents. This can be expressed as follows:

aᵇ / aⁿ= aᵇ⁻ⁿ

So, cd³ c⁻⁵ x d⁻²

= c¹⁻⁵ x d³⁻²

= c⁻⁴ x d¹

= dc⁻⁴

Again from the property of exponents

a⁻ᵇ = 1/aᵇ

So,  dc⁻⁴

= d/ c⁴

Therefore, the simplified expression is  d/ c⁴.

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Answer:

P(A or B) = P(A) + P(B) - P(A and B)

0.87 = 0.8 + P(B) - 0.23

0.87 = P(B) + 0.57

P(B) + 0.57 = 0.87

P(B) + 0.57-0.57 = 0.87-0.57

P(B) = 0.3

Answer: 0.3

The value of P(B)= 0.3

It is a branch of mathematics that deals with the occurrence of a random event.

Given:

P(A)=0.8, P(A OR B)=0.87, P(A AND B)=0.23,

Now, using

P(A or B) = P(A) + P(B) - P(A and B)

0.87 = 0.8 + P(B) - 0.23

0.87 = P(B) + 0.57

P(B) + 0.57 = 0.87

P(B) = 0.87-0.57

P(B) = 0.3

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Answer:

I think its the first one

Step-by-step explanation:

you first subtract 2

the next one you subtract 1

then 0

then - 1

Answer:

\(y =\dfrac{4}{5} x\)

Step-by-step explanation:

From the table, note that for \(x\in(0, \infty)\) we have \(x> y\), on the other hand for \(x\in(-\infty, 0)\) we have \(x < y\).

Considering the basic case \(x = 0\), we conclude \(y = 0 \iff x = 0\), thus \(y = x- 2\) is not an option.

Also, once the domain and range have the same signal, \($y =-\frac{5}{4} x$\) can't be an option as well.

Finally, taking \(x = 10 \implies y=8\), testing the two remaining cases

\($y =\frac{5}{4} x \implies y=\frac{5}{4} \cdot 10 \implies y = 12.5$\)

\($y =\frac{4}{5} x \implies y=\frac{4}{5} \cdot 10 \implies y=8$\)

The function is \(y =\dfrac{4}{5} x\)

Answer:

u prolly will know if u payed attention in class

Step-by-step explanation:

The 9th term of the given sequence is 78732.

The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:

aₙ = a₁rⁿ⁻¹

Here, a₁ = 12 and r = 3.

Therefore, the formula for the nth term becomes:

aₙ = 12(3)ⁿ⁻¹

Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:

a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732

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Answer:

Step-by-step explanation:

Comment

(Fans who received a baseball) = 2500

Total number of seats in Yankee Stadium = 50086

P(those who got a baseball) = 2500 / 50086

Answer P(Those who got a baseball) = 0.04991 rounded.

a) The area of the rectangular shaped bathroom floor is A = 30.375 feet²

b) The number of boxes of tiles = 25 boxes

Given data ,

Jordan is putting new tile on the bathroom floor. The width of the floor is 4 2/4 feet and the length is 6 3/4 feet

Now , Area of Rectangle = Length x Width

On simplifying , we get

Width = 4 2/4 feet = (4 x 4 + 2)/4 = 18/4 feet

Length = 6 3/4 feet = (6 x 4 + 3)/4 = 27/4 feet

Area = (18/4) x (27/4) = (18 x 27)/(4 x 4) = 30.375 feet²

Therefore , the area of bathroom floor is A = 30.375 feet²

Now , the number of boxes is given by

Number of boxes of tiles = Total area of bathroom floor / Area covered by each box of tiles

B = 30.375 / 5

B = 6.075

B = 6 tiles

Hence , the area of bathroom floor is A = 30.375 feet²

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The shapes which are similar to shape A are the shape in pink color, the shape in blue color inside the square and the shape in voilet color inside the square.

From the given figure, we can find the similar shapes

From shape A to shape in pink color, the  translation is rotation about the origin at 90° counterclockwise.

From shape A to shape  the shape in blue color inside the square, the translation is diminishment with the scale factor 0.5 and opposite rotation about an origin 90° clockwise.

From shape A to the shape in voilet color inside the square, the translation is enlargement with the scale factor 1.5 and opposite.

Shapes in various dimensions are scaled using the scale factor. In geometry, we study a variety of two- and three-dimensional geometrical shapes. A measurement for similar figures that appear the same but have distinct scales or measures is the scale factor.

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