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The mean number of students in the class is 2.4 siblings.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = total sum of siblings / number of students

[(0 x 4) + ( 1 x 4) + ( 2 x 2) + ( 3 x 8) + ( 4 x 4) ] / ( 2 + 4 + 2 + 8 + 4)

= 48 / 20 = 2.4 siblings

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Answer:

[tex]\boxed {\boxed {\sf 53}}[/tex]

Step-by-step explanation:

This is a stem and leaf plot, so the stem represents the first digit, while the leaf is the last digit.

The first stem is 0, with a leaf of 4. Therefore,

The last stem is 5, with 2 leaves: 6 and 7. We want to find the largest number, so we will use 7.

The range is the difference between the largest and smallest number. The largest number is 57 and the smallest is 4.

The range is 53.

Answer: -7

Because if y is -7 then the equation would be 4 - 7 = -3 which is true :)

Answer:

Reconciled balance $3,142.11

Step-by-step explanation:

The computation of the reconciled balance is shown below:

Debit balance as per check book $1,955.81

Add: interest earned $31.55

Collection of note $3,100

Outstanding checks $2,919.43

Less: service charges -$22.80

Less: deposit in transit -$3,991.88

Less: forgot a check -$850

Reconciled balance $3,142.11

The same would be relevant and considered too

Answer:

x = - 2

Step-by-step explanation:

The axis of symmetry passes through the vertex, is a vertical line with equation equal to the x- coordinate of the vertex, that is

equation of axis of symmetry is x = 1

The zeros are equidistant from the axis of symmetry, on either side

x = 4 is a zero and is 3 units to the right of x = 1, so

3 units to the left of x = 1 is 1 - 3 = - 2

The other zero is therefore x = - 2

Answer:

Each term in the second sequence is double the corresponding term in the first sequence.

Step-by-step explanation:

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The correct statement that describe the two sequences is:

Each term in the second sequence is 10 times the corresponding term in the first sequence.

This is a type of sequence which have common difference between each term. It is represent mathematically as:

Tₙ = a + (n – 1)d

Where

Tₙ is the nth term

a is the first term

n is the number of terms

d is the common difference

Relationship = sequence 2 / sequence 1

Relationship = sequence 2 / sequence 1

Sequence 2 / sequence 1 = 10 / 1

Cross multiply

Sequence 2 = 10 × sequence 1

Relationship = sequence 2 / sequence 1

Sequence 2 / sequence 1 = 20 / 2

Sequence 2 / sequence 1 = 10 / 1

Cross multiply

Sequence 2 = 10 × sequence 1

If we continue with the pattern above, we'll discovered that

Sequence 2 = 10 × sequence 1

Thus, we can conclude that:

Each term in the second sequence is 10 times the corresponding term in the first sequence.

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Answer:

1. (x,y)=

2. (3, 480°), (3,-240°), (-3, -60°)

3. (-17, -1.08)

4. on the second circle from the center and 153° clockwise from the horizontal axis

Step-by-step explanation:

took quiz...100%

Answer:

A box has 6 pencils. Each pencil weighs x grams. The 6 pencils weigh a combined total of 54 grams.

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

Each triangle needs to add up to 180 total degrees.  70+50=120,

180

-

120

___

60

8,700*

12/100=1044/y         Equation

1044 x 100= 104,400       Cross multiply

104,400÷12=8700            Divide quotient by pecentage out of 100 (12)

Answer:

Step-by-step explanation:

So in ratios you can mostly all of the time scale your answer. So by determining how much increase there is in the baby's thigh bone each week you can pretty much answer these questions.

keep in mind: Proportional means having the same ratio. A scale factor is the ratio of the model measurement to the actual measurement in simplest form.

Example from https://www.mathsisfun.com/numbers/ratio.html

A ratio says how much of one thing there is compared to another thing.

ratio 3:1

There are 3 blue squares to 1 yellow square

Ratios can be shown in different ways:

Use the ":" to separate the values:   3 : 1

Or we can use the word "to":   3 to 1

Or write it like a fraction:    31  

A ratio can be scaled up:

ratio 3:1 is also 6:2

Here the ratio is also 3 blue squares to 1 yellow square,

even though there are more squares.

Answer: $70400

Step-by-step explanation:

Attached is the question:

Based on the information given in the question:

Value of Stock X = 5000 × $4.30 = $21500

Value of Stock Y = 2000 × $3.20 = $6400

Value of Stock Z = 8000 × $4.90 = $39200

Total Stock Value = $67100.

Since there's a 4.9% increase in value of index, the value of the index at end of the day will be:

= $67100 × (100% + 4.9%)

= $67100 × 104.9%

= $67100 × 1.049 =

= $70388

= $70400 approximately

Answer:

$70,400

Explanation:

Ap3x

Answer:

a. n=2t

Step-by-step explanation:

Given that

N denotes the number of bacteria

And, 1 denotes the time elasped in hours

Now based on this, the scientist used a microscope for counting the number of bacterial cells every hour

So,the function that represent correct data is

n = 2t

Therefore the correct option is A.

The same would be considered

Answer:

389.19 m²

Step-by-step explanation:

The surface area of the box = area of the two equal triangles + area of the 3 different rectangles

✔️Area of the two equal triangles:

Area = 2(½*base*height)

base = 7 m

height = 8 m

Area of the two triangles = 2(½*7*8) = 56 m²

✔️Area of rectangle 1:

Area = Length*Width

L = 13 m

W = 7 m

Area of rectangle 1 = 13*7 = 91 m²

✔️Area of rectangle 2:

L = 13 m

W = 8 m

Area of rectangle 2 = 13*8 = 104 m²

✔️Area of rectangle 3:

L = 13 m

W = 10.63 m

Area of rectangle 3 = 13*10.63 = 138.19 m²

✅Surface Area of the box = 56 + 91 + 104 + 138.19 = 389.19 m²

Answer:

16 2/3 yards

Step-by-step explanation:

Hope this helps and have a wonderful day!!!!

Answer:

25 cents

Step-by-step explanation:

1.) Set up an equation you can solve from the wording of the question:

(2/3)*m = 50, where "m" represents the money in your pocket.

2.) Solve for that equation:

m = 50*(3/2) = 150/2 = 75, so now you know the money you have in your pocket is 75 cents

3.) Multiply the money you have in your pocket by 1/3 to find 1/3 of the money you have in your pocket:

75*(1/3) = 25

Answer:

B is the correct answer ([tex]\sqrt{-17}[/tex])

Step-by-step explanation:

The slant height of the cone is √17.

A cone is a shape formed by using a set of line segments or the lines which connects a common point, to all the points of a circular base.

Here, radius = 1 inch

         height = 4 inches

Slant height = [tex]\sqrt{r^2+h^2}[/tex]

                     = [tex]\sqrt{1^2+4^2}[/tex]

                    = [tex]\sqrt{1+16}[/tex]

            l = √17 inches.

Thus, the slant height of the cone is √17.

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Answer:

18

Step-by-step explanation:

Formula

P = 2 * (L + W)

Solution

L = 6

W = 3

P = 2 (6 + 3)

P = 2 (9)

P = 18

Answer:

Only the mean increased.

Step-by-step explanation:

The mean is the total divided by the number of scores, and since adding 21 will increase the total score significantly, the mean increases.

The median is still 7.

Answer:

Supplementary Angles are 180 degrees. A triangle has 180 degrees. One angle is already 90 degrees, so 2 more angles with 180 degrees is impossible.

Step-by-step explanation:

Similar: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

____________________________________________________________

Congruent: SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Answer:

5. B

6. A

7. C

Step-by-step explanation:

Answer:

5.) b. 12 - 2x

6.) a. 8x

7.) c. 5d + 3c = 66

Step-by-step explanation:

uhm, I don't really have proof, i've just been doing this for a long time, you're just gonna have to trust me on this one

Answer:

I think it is the last answer.

Step-by-step explanation:

There can only be one vertex.

Answer:hi there!that same guy did that w my question too :( i’m reporting his answers. i will help u out tho ahah. the answer is 470(32-n). i hope this helps :). have a good dayyy

Step-by-step explanation:

Answer:

The answer for (a) is at the picture

(b) The vertex is (-2,7)

(c) Yes the parabola open downward

(d) -(x+2)^2+7 the turning point is at (-2,7) since it is where the group curves

Step-by-step explanation:

Answer:

piip;[-p-o-ul0i

Step-by-step explanation:

The equation of the line is (y - 2) = 1.5(x - 4)

What is line ?

Euclid described a line as an "unextended length" that "stands equally with respect to its points"; he introduced the postulates as the main unprovable properties from which he constructed all of geometry, now called Euclidean geometry to avoid confusion with other geometries introduced from the late 19th century (such as non-Euclidean, projective and affine geometry).

In modern mathematics, given the multiplicity of geometries, the concept of line is closely related to the way geometry is described. For example, in analytic geometry, a plane line is often defined as a set of points whose coordinates correspond to a given linear equation, but in a more abstract setting, such as drop geometry, the line may be an object other than the set. of the points located on it.

When geometry is described by a set of axioms, the concept of line is usually left undefined (so-called primitive object). The properties of the lines are then determined by the axioms that refer to them. One of the advantages of this approach is the flexibility it gives users of the geometry. Thus, in differential geometry a line can be interpreted as a geodesic (shortest path between points), while in some projective geometries a line is a 2-dimensional vector space (all linear combinations of two independent vectors). This flexibility also extends beyond mathematics and allows physicists, for example, to think of the path of a light ray as a line.

Given, [tex]y = 1.5x - 6....(1)[/tex]

We are comparing equation (1) with y = mx+c and get m = 1.5

It is also given required equation passes through the point (4,2)

We know, if slope of a equation m and the equation passes through (a,b) then equation of the line (y-b) = m (x-a)

Here,

[tex]m = 1.5 \\ a = 4 \\ b = 2[/tex]

So, required equation of the line [tex](y - 2) = 1.5(x - 4)[/tex]

Line related one more question:

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Answer:

B

Step-by-step explanation:

Look at the chart you can find out by looking at 20 then your answers

Answer:

The correct answer would be D, it is a logarithmic function.

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

5x + 2 = x - 10

4x + 2 = -10

4× = 10 - 2

4x = -12

x= -3