there are 357 seniors in harris high school. The ratio of boys to girls is 7:10. How many girls are in the senior class?

Answer:

-4.84

Step-by-step explanation:

the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater

Answer:

-4.84

Step-by-step explanation:

Becuase the smaller the minus number the greater Becuase its the reverse of positive numbers

Answer:

3

Explanation:

A translation is when a shape is moved to a different location, and three is the only one that isn't flipped in some way.

Answer:

I think it's 1 sorry if it is wrong i wish is right.

Step-by-step explanation:

The given vectors are: u = (20 + i, i, 2)v = (1 + i, 2, 41)The dot product of u and v is:u.v = (20 + i)(1 + i) + (i)(2) + (2)(41 - 1)= 20 + 20i + i + i² + 2i + 80= 101 + 22i

To find the imaginary part of u.v, we can simply extract the coefficient of i, which is 22. Hence, the imaginary part of u.v is 22. Therefore, the answer is rounded off to 22.00.

A quantity or phenomenon with two distinct properties is known as a vector. magnitude and course. The mathematical or geometrical representation of such a quantity is also referred to by this term. In nature, velocity, momentum, force, electromagnetic fields, and weight are all examples of vectors.

A movement from one point to another is described by a vector. Direction and magnitude (size) are both properties of a vector quantity. A scalar amount has just greatness. An arrow-labeled line segment can be used to represent a vector. The following describes a vector between two points A and B: A B → , or .

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Answer:

3/4

Step-by-step explanation:

Answer: there is no apparent association between the energy and light output

According to the graph, it observed that at some points, as the energy increases the light out put also increases.

Also, as the energy increases the light out put also decreases

This made me conclude that, there is no apparent association between the energy and light output

Therefore, the best statement that describes the association between the energy and light output is statement J

Emily needs to get a score of at least 85 on the "final-test" to ensure she gets a composite score of 85.

Let "x" be the minimum score Emily needs to get on the final test to achieve a composite score of 85.

To find x, we use the formula for average (composite-score) and solve for x:

The "Composite-Score" = (score in English + score in Writing + score in Mathematics + score in Science)/4,

Substituting the values,

We get,

85 = (90 + 84 + 81 + x)/4,

Multiplying both sides by 4,

We get,

340 = 255 + x,

x = 85,

Therefore, the minimum-score required is 85.

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Answer: A) Reflection along the line y = -1

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

Explanation:

Point A is at (1,5). Point A' is at (1,-7).

Apply the midpoint formula to find the center of these two points.

You should get (1,-1) as that midpoint.

Follow these steps for B(-1,3) and B'(-1,-5) to get the midpoint (-1,-1)

Those midpoints we found are located on the mirror line. We only need two such points to plot it. Drawing a line through (1,-1) and (-1,-1) graphs the equation y = -1. This is the horizontal line through -1 on the y axis.

Answer:

1.25 x 10^3

Step-by-step explanation:

i took the test

Answer:

\( \frac{10}{4} \)

hlo

Answer:

The correct answer is \(\frac{4}{9}\).

The cost C of building a house is related to the number k of carpenters used and the number x of electricians

For the given condition,

                                            C(x) = 20000 + 60x²

                                            C'(x) = 120x    

                                            C(16) = 35360

                                            C'(16) = 1920

Increasing and Decreasing function:                                                            

function f(x) is said to be increasing function if,

                                  f'(x) >0 ,for all value of x

function f(x) is said to be decreasing function if,

                                  f'(x) <0 ,for all value of x

              where, f'(x) is derivative of f(x)

Given Equation is,

C = 15,000 + 50k² + 60x²

          where,

                      k = number of carpenter.

                      x = number of electrician.

(a).

      10 carpenters are currently being used.

  that is,

             k = 10

so,

        C = 15000 + 50  * 10² + 60x²

           = 15000 + 50*100 + 60x²

           = 15000 + 5000 + 60x²

           = 20000 + 60x²

thus,

        C(x) = 20000 + 60x²

Now,

         C'(x) = 0 + 60*2x

         C'(x) = 120x

(b).

             As,

                      C'(x) = 120x            

                    C'(16) = 120 * 16

                               = 1920

                    C'(16) = 1920

           As,

                 C(x) = 20000 + 60x²

                C(16) = 20000 + 60 * 16²

                          = 20000 + 60 * 256

                          = 20000 + 15360

                          = 35360

                C(16) = 35360

     We conclude,

                             As the number of electrician increases the average cost also increases.

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You paid $16.05 with taxes for a meal.

The definition of the sales tax is given below.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

1) If you buy a meal from a restaurant that cost $15.00, and the tax is 7%,

then the amount of the tax is,

= 15 x 7 / 100

= $1.05

2) The sales tax:

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a traditional sales tax is imposed, collected by the shop, and forwarded to the government.

Therefore, the taxed amount is $1.05.

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Answer:

x = 15

Step-by-step explanation:

The sum of the angles in a triangle is 180º

3x + 5x + 4x = 180

Combine like terms

12x = 180

Divide both sides by 12

x = 15

C = 5x

C = 5 * 15

C = 75º

Answer:

Step-by-step explanation:

First, you have to find the total number of socks. The total is 14. Now, since you choose 2 socks out of 14 in total, the probability is 2/14 or about 14%. To find the percent, just divide the numerator by the denominator. The answer you get is in decimal form. Multiply the decimal by 100. Then, there is your percent.

Answer:

\(\lbrace 5,\, -3,\, -15 \rbrace\).

Step-by-step explanation:

The domain of a function includes all the values that this function could accept as inputs. The function would give a (possibly non-unique) output for each of these inputs. The range of this function over this particular domain would be the set of all the possible output values from this function.

In this question, the domain of this function is \(\lbrace -4,\, 0,\, 6 \rbrace\), meaning that this function could accept \(x = (-4)\), \(x = 0\), and \(x = 6\) as possible inputs.

In other words, the possible output values of this function over this domain are \(5\), \((-3)\), and \((-15)\). Hence, the range of this function would be the set \(\lbrace 5,\, -3,\, -15 \rbrace\).

Answer:

D  Both

Step-by-step explanation:

It's a regular hexagon which means it will look the same even if you rotate or cut it

Answer:

Both rotational and reflectional

Step-by-step explanation:

The probability that the first sample following the mean shift produces a statistics that plots inside the control limits: β ^{m-1}( 1-β )

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Pr(shift found on mth sample) = Pr (not detected for (m-1) samples) x Pr (detected on mth)

= [ 1-(1-β) ]^{m-1} ( 1-β )

=β ^{m-1}( 1-β )

the anticipated number of subgroups to be examined before the shift is seen

ARL=1/{1-β}

Shift not detected on the first sample following the shift:

Pr = 1-(1-β) = β

Pr n successive samples that are outside of the control limits

= ( 1- β )^{n}

f) the likelihood that at least one out of n consecutive statistical plots will fall outside the control limit.

=[1- ( 1- β )]^{n}

=β^{n}

Hence, The probability that the first sample following the mean shift produces a statistics that plots inside the control limits is β ^{m-1}( 1-β )

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The slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.

We know that,

The meaning of slope intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Given that two equations, we need to find their slope intercept form, and determine if the lines are parallel, perpendicular, or neither (intersecting).

The given equations are;

A) 2x + 3y = 9

B) 2y - 3x = 8

The general equation of a line, in a slope intercept form, is given by,

y = mx + c, where m is the slope of the line and c is the y-intercept,

A) 2x + 3y = 9

3y = 9-2x

y = -2x/3 + 3....(i)

B) 2y - 3x = 8

2y = 3x+8

y = 3x/2 + 4.....(ii)

Here, the slope are -2/3 and 3/2, we can say that both the slopes are negative reciprocal of each other,

We know that slopes of two perpendicular lines are negative reciprocal of each other,

Therefore, the given two line are perpendicular to each other.

Hence, the slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.

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Absolute value of function = - 9 / 3 .

The absolute value or modulus of a real number x, denoted by |x|, is the non-negative value of x without regard to its sign. Namely, |x|=x if x is a positive number, and |x|=-x if x is negative (in which case negating x makes -x positive) , and |0|=0.

For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.

x ≥ 1.52 / 3 x - 1 = 2 / 3 x + 4⇒ -1 = 4 which is not possible .Now for all x ≤ 1.5- 2 /3 x + 1 = 2 / 3 x + 4⇒ 4 / 3 x = -3  x = - 9 /4 Hence absolute value = - 9 / 3 .

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Answer:

18

Step-by-step explanation:

The key of this leaf stem-leaf plot is:

4 | 5 = 45

Therefore, the data points that represents children with weight that is less than 50 pounds would be as follows:

First row => 12, 13, 15, 15 15, 16, 16, 19

Second row => 23, 25

Third row => 33, 35, 37, 38, 39

Fourth row => 44, 45, 45

Therefore, the number of children that weigh less than 50 pounds = 18

Answer:

Step-by-step explanation:

3.00

Answer:

um hola

Step-by-step explanation:

The height of the poster is 20 inches.

The original width of the poster was 6 inches. The original height of the poster was 4 inches. The size of the poster is scaled up. This is a transformation of the size of the poster. The width of the scaled-up poster is 30 inches. We need to find out the height of the scaled-up poster.

The scaling transformation preserves the shape of the object. This means the sides must still be in the same proportion. Let the constant of proportionality be represented by the variable "k".

30 = k*6

k = 30/6

k = 5

Hence, the poster is scaled up by a factor of five.

H = k*4

H = 5*4

H = 20

Hence, the height of the scaled-up poster is 20 inches.

The complete question is given below.

Amir wants to scale up a photo to create a poster for his room. The original picture is 6 inches in width and 4 inches in height. What will be the height of the poster if its width is 30 inches?

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Answer:

7 divided by 6 is 1.1666666667

We conclude that Michael worked for a total of 11.46 hours in the weekend.

We know that during the weekend, the times that he used for each task are:

The total time is given by the sum between the above numbers, where the difficulty is the fact that the 3 numbers are in different notations (decimal, fraction, and mixed).

The sum is:

S = (6 + 3/7) h + 4.37 h + 2/3 h

The easier way to do this, is to write the 3 numbers in decimal form:

2/3 = 0.66

6 + 3/7 = 6 + 0.43 = 6.43

Then the total time is:

S = 6.43 h + 4.37h + 0.66h = 11.46 h

We conclude that Michael worked for a total of 11.46 hours in the weekend.

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The formula for the given arithmetic series for the term aₙ will be aₙ=a₁+(n-1)d.

So, the possible sequence of -64, -16, 4:

So, the formula for the aₙ term will be:

Therefore, the formula for the given arithmetic series for the term aₙ will be aₙ = a₁ + (n - 1)d.

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The correct question is given below:

Write an explicit formula for an, the nth term of the sequence

-64, -16, 4,....

We have to construct a triangle DEF with EF = 7 cm. It is given that we have to make an angle of 50⁰ at E and at F.

Steps to make a triangle DEF:

Step 1: Draw a line segment EF equal to 7 cm, using a ruler.

Step 2: Put the center of the protractor on the one end of the line segment that is at E and make the given angle that is 50⁰.

Step 3: Make the angle of 50⁰ at F by using protractor.

Step 4: Extend the line from E and F in the direction of 50⁰. After extending the line segments, we get an intersection point, name that point D..

Step 5: The point D, is made from the intersection of the line segment from E and F.

Step 6: Hence, triangle DEF is constructed.

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a. The sample space of this experiment would be as follows:S = {A, B, AB, O}Where A is for phenotype A, B is for phenotype B, AB is for phenotype AB, and O is for phenotype O.

b. The probability of each phenotype is as follows: P(A) = 0.41, P(B) = 0.10, P(AB) = 0.04,P(O) = 0.45

c. The probability that the person chosen at random has either type A or type AB blood is 0.45 or 45%.

a. The sample space of this experiment would be as follows:S = {A, B, AB, O}Where A is for phenotype A, B is for phenotype B, AB is for phenotype AB, and O is for phenotype O.

b. Given, the proportion of blood phenotypes, A, B, AB and O, in the population of all Caucasians in the United States are approximately, 0.41, 0.10, 0.04, and 0.45, respectively.

Then the probability of each phenotype is as follows:

P(A) = 0.41 P(B) = 0.10 P(AB) = 0.04 P(O) = 0.45

c. The probability that the person chosen at random has either type A or type AB blood is:

P(A) + P(AB) = 0.41 + 0.04 = 0.45

Therefore, the probability that the person chosen at random has either type A or type AB blood is 0.45 or 45%.

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The linear function is 2/3 x=y-1. Therefore, option D is the correct answer.

A linear function is a function that represents a straight line on the coordinate plane. The standard form of a linear function is y = mx + b.

Here, 'm' is the slope of the line, 'b' is the y-intercept of the line, 'x' is the independent variable and 'y' (or f(x)) is the dependent variable.

Option A:

In the function y=3x², the highest degree is 2, so it is quadratic function.

Option B:

The function y=1/3x is not a linear function.

Option C:

In the function y=x³+5, the highest degree is 3, so it is cubic function.

Option D:

In the function 2/3 x=y-1, the highest degree is 1, so it is linear function.

The linear function is 2/3 x=y-1. Therefore, option D is the correct answer.

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Answer:21.2 is the answer

Step-by-step explanation:

It is common to observe variations in snowfall measurements across different areas during a winter storm.

During a winter storm in central Indiana, significant snowfall was recorded. The snowfall varied across different areas, with some receiving less snow than others. In this case, the snowfall at Indiana Online, specifically at the Pyramids location, was the highest, measuring 17 inches.

The phrase "nearly a foot of snowfall" indicates that the snow accumulation was close to 12 inches. However, it does not provide an exact measurement. It gives us an idea that the snowfall was substantial.

On the other hand, the mention of "5 % inches" indicates that some areas received less snow than the average. It specifies a measurement of 5.5 inches, which is less than a foot but still significant.

It is important to note that these measurements may vary across different locations within central Indiana. Snowfall amounts can be influenced by factors such as elevation, temperature, and local weather patterns. Therefore, it is common to observe variations in snowfall measurements across different areas during a winter storm.

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