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mart [117]
2 years ago
14

Steps for how to use a number line to multiply a 2-digit number by 20

Mathematics
1 answer:
Feliz [49]2 years ago
6 0

its is the same as multiplying normally .

For example 1-2-3-4-5-6-7-8- 2 times 2

you just take the starting number (2) and times it by the other number (2) and youll get 4

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Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115
Pani-rosa [81]

By definition we have that the average rate of change of the function is:

 AVR =  \frac{f(x2) - f(x1)}{x2 - x1}

 Evaluating the function for the complete interval we have that the AVR is given by:

 AVR = \frac{115 - (-5)}{10 - (-2)}

 Rewriting we have:

 AVR = \frac{115+5}{10+2}

 Simplifying the expression we have:

 AVR = \frac{120}{12}

 AVR = 10

 Answer:

 the average rate of change of the function defined by the table is:

 AVR = 10

6 0
1 year ago
In football a kicker can score one point for the extra point on a touchdown or three points for a field goal Logan is a kicker f
mezya [45]
Let the number of extra points on a touchline scored by Logan on the match be x and the number of field goals scored by Logan be y, then the ineaquality representing the situation wher Logan beats the record number of points scored by a kicker in a single match of 24 is given by:

x + 3y > 24

The graph is attached

8 0
2 years ago
Read 2 more answers
Nandita earned $224 last month.
dexar [7]

Answer:

       X     =      8    x    28 =   224

                   

      Nandita  earns $8 last month by babysitting.

Step-by-step explanation:

                       225

divided by

                   <u>       28    </u>

                            8

4 0
1 year ago
The triangular prism shown has triangular _____face(s) and lateral face(s).
dmitriy555 [2]

Answer:

The triangular prism shown has 2 triangular face(s) and 3 lateral face(s).

The area of one triangular face is 7.5 mm²

The surface area of the triangular prism is 135 mm²

Step-by-step explanation:

A triangular face of the prism is the face that has a three sided figure while the lateral faces are faces with four-sided figure. As seen from the triangular prism, it has 2 triangular faces since it is made up of 2 right angled triangles and has 3 lateral faces since it is made up of 3 rectangles which are 4 sided each.

Area of one triangular face = \frac{1}{2} * base * height

Given base = 2.5 mm and height = 6 mm

Area of one triangular face = \frac{1}{2} *2.5 * 6\\

= 3*2.5\\= 7.5mm^{2}

Surface area of triangular prism = bh + pH

b= base of the triangle  = 2.5 mm

h- height of the triangle  = 6 mm

p= perimeter of the triangle  = base + height + slant height = 2.5+6+6.5

p = 15 mm

H= height of the prism = 8mm

Surface area of triangular prism = 2.5(6)+15(8)

Surface area of triangular prism = 15 + 120

Surface area of triangular prism = 135mm²

5 0
2 years ago
The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110.
ololo11 [35]
Μ = 500, population mean
σ = 110, population stadard deviation

The given table is
z  0.00       0.25       0.35      0.45      1.00      1.26       1.35     1.36
P  0.5000  0.5987  0.6368  0.6736  0.8413  0.8961  0.9115  0.9131

Range of random variable is X = [350, 550].

Calculate z-score for x = 350.
z = (350 - 500)/110 = -1.364
From the given tables,
The probability at x = 350 is
1 - 9131 = 0.0869

Calculate the z-score for x = 550.
z = (550 - 500)/110 = 0.454
From the given tables,
The probability at x = 550 is 0.6736

The probability that x =[350,550] is 
0.6736 - 0.0869 = 0.5867

Answer:  0.5867  (or 58.7%)

4 0
2 years ago
Read 2 more answers
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