what is twenty percent of two hundred and ten

Answer:

2x+30=x+80 (corresponding angles)

2x-x=80-30

x=50

Answer:

Following are the solution to the given question:

Step-by-step explanation:

In this question, firstly we calculating the [tex]\bar{x} \ \ and \ \ s[/tex]

[tex]\bar{x}=11.89 \\\\s = 2.52\\\\n = 9\\\\\alpha=0.05\\[/tex]

[tex]H_0 : u \leq 10\\\\ H_1 : u > 10[/tex]

It is an upper test  and testing the statistics:

[tex]t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}\\\\t=\frac{11.89-10 }{\frac{2.52}{\sqrt{9}}}\\\\t=2.25\\\\[/tex]

So, the test statistics [tex]t=2.25[/tex]

[tex]\alpha=0.05 \\\\ d.f = n-1\\\\[/tex]

     [tex]=9-1\\\\=8[/tex]

critical value =2.306 ( using t-table ) [tex]critical\ value >\ test\ statistics , \ Fail\ to\ Reject\ H_0[/tex]

Decision: We should not reject the null hypothesis.

Answer:

(f + g)(4) = 9

Step-by-step explanation:

We have that:

f = {(-1,-3), (1,1),(2,3),(4,6)}

this means that:

f(-1) = -3

f(1) = 1

f(2) = 3

f(4) = 6

and we also know that:

g = {(-1,-1),(1,7),(4,3)}

hich means that:

g(-1) = -1

g(1) = 7

g(4) = 3

Now we want to find:

(f + g)(4)

For the general case of two functions f(x) and g(x)

(f + g)(x) = f(x) + g(x)

Then:

(f + g)(4) = f(4) + g(4)

and we know both of these values, so we can just replace them:

(f + g)(4) = f(4) + g(4) = 6 + 3 = 9

Then we get:

(f + g)(4) = 9

Answer: A

Step-by-step explanation:

Area of a triangle is base times height

We have a base made by point m and n with a length of 6

now the third point has to form a height which when put with the base, gets you 18

area of triangle is bh/2

so lets set height as h, 6x/2 = 18 6x = 36 x = 6

This means the point has to be 6 apart either left or right. Only point that matches this is a.

Answer:

$14,386.25

Step-by-step explanation:

9514 1404 393

Answer:

  101000₂

Step-by-step explanation:

The usual place-value rules apply. Bit positions have values that increase by a factor of 2 as you go leftward from the units bit.

  40 = 32 + 8 = 2⁵ +2³ = 101000₂

_____

The usual conversion algorithm has you repeatedly divide the number by 2. The remainder at each step is the binary digit (bit) next to the left. The first remainder is the units bit.

40/2 = 20r0

20/2 = 10r0

10/2 = 5r0

5/2= 2r1

2/2 = 1r0

1/2 = 0r1

The bits left to right are the remainders from the bottom up: 101000.

__

Additional comment

Along the same lines, a fraction can be converted to a binary fraction by repeatedly multiplying by 2. If the result is 1+(something), the fraction bit is 1. Otherwise it is 0. The next step repeats with the fractional part of that result. This develops the fraction bits left to right.

Example:

  1/16 × 2 = 1/8 + 0

  1/8 × 2 = 1/4 + 0

  1/4 × 2 = 1/2 + 0

  1/2 × 2 = 0 +1

The binary equivalent of 1/16 is 0.0001₂.

__

Fractions that do not have denominators that are a power of 2 will be repeating binary fractions. Of course, irrational numbers will have non-repeating binary fractions.

Answer:

137

Step-by-step explanation:

Sum of opposite angles in a quadrilateral embedded in a circle = 180

43+x=180

x=180-43

x=137

Answer:

24 possible combinations in total,

just 3 that apply

{B,2},{B,4},{B,6}

one easy way to write the possibility is just

3/24 = 1/8 = 12.5%

Answer:

240 ft²

Step-by-step explanation:

The shape is composed of a rectangle and a triangle.

The area of the shape = area of the triangle + area of the rectangle

= ½*bh + L*W

Where,

b = base of triangle = 24 ft

h = height of triangle = 12 - 8 = 4 ft

L = length of rectangle = 24 ft

W = width of rectangle = 8 ft

Plug in the values into the equation

Area of the shape = ½*24*4 + 24*8

= 48 + 192

= 240 ft²

Answer:

54 and 30

Step-by-step explanation:

84÷2=42-12=30

42+12=54

Step-by-step explanation:

the problem description is incomplete or wrongly copied.

we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.

Answer:

c

Step-by-step explanation:

The graph starts at 100 and decreases as it goes the following situations that were listed should be somewhat implying that something is decreasing. Since a and b are GAINING something then it can't be that because it is increasing, so we are left with choice c.

hope this helps!

Answer:

The investment after 5 years is $ 662.45.

Step-by-step explanation:

Principal, P = $ 600

Time, t = 5 years

Rate of interest, R = 2 %

Time , t = 5 years

The amount after the time 5 years is

[tex]A = P \times \left ( 1+\frac{R}{100} \right )^t\\\\A = 600\left ( 1+0.02 \right )^5\\\\A = 662.45[/tex]

So, the investment after 5 years is $ 662.45.

5

Step-by-step explanation:

AB=CD (Opposite sides of a parallelogram are equal)

11x-13=42

11x=42+13

11x=55

x=55/11

x=5

Answer:

slope of red line=6

Step-by-step explanation:

Hi there!

We're given a set of perpendicular lines and the slope of the green line being -1/6

Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1

So to find the slope of the red line, we can use this formula (m is the slope):

-1/6m=-1

Multiply both sides by -6 (clears the fraction to get 1m on the left)

m=6

So the slope of the red line is 6

Hope this helps!

Answer:

I'm not graphing, but I can describe the reflection as R', S', T', U':

R' = (-3, 1)

S' = (-2, 0)

T' = (-1, 2)

U' = (-2, 2)

Step-by-step explanation:

y = -1 is the line one unit below the x axis (the x axis is y=0).

To reflect any point across y=-1, we just need to leave the x coordinate as was, but the (new y) will be -2-(old y)

R = (-3, -3), R' = (-3, -2+3) = (-3, 1)

S = (-2, -2), S' = (-2, -2+2) = (-2, 0)

T = (-1, -4), T' = (-1, -2+4) = (-1, 2)

U = (-2, -4), U' = (-2, -2+4) = (-2, 2)

what is 5+5 = so answer would be 10 because when you add then it 10

Answer:

correct

Step-by-step explanation:

Answer:

5 1/4

Step-by-step explanation:

5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 = 6 1/4

Answer:

5196

Step-by-step explanation:

So it's 5040+(-156)

We have to find the absolute value

|-156|=156

5040+156=5196

Answer:

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Answer:

B.) -2.5 z + 5 y - 8

Step-by-step explanation:

- 6 z + ( - 5.5 ) + 3.5 z + 5 y - 2.5

combine like terms

- 6 z + 3.5 z + 5 y -5.5 - 2.5

- 2.5 z + 5 y - 8

3) x=190, <BOC=85

4) x=177, <TOU=31

5) x=61, <LOM=110

6) x=55, <DOE=117

Answer:

the required height is 6.7m.

Answer:

The height requirement is 6.7m.

explanation:

Hope it helps have a great day :)

Answer:

[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3} [/tex]