5. If rectangle ABCD is similar to rectangle MNOP, which of the following must be true? Explain how you know.
a)
b)
BC.NO
CD OP
2C - ZO
ZB ZM
c)

Answer: C

Step-by-step explanation: it is c trust me

Answer:

Step-by-step explanation:

¼ + ⅔ = 11/12

1 - 11/12 = 1/12

He has 1/12 of £264 = £22 left

Answer:

1=1

2=43

3=44

Step-by-step explanation:

the subtraction negative and the negative in the parentheses make a positive so instead of subtracting them you add them together

Answer:

theres no picture

Step-by-step explanation:

Answer:

1 1/4 miles

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

Answer:

[tex]P(Tail = 1) = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]Flips = 2[/tex]

Required

Probability of exactly one tail

This event can be represented as:

(Head and Tail) or (Tail and Head)

In the flip of a coin (penny), the following probabilities exist:

[tex]P(Head) = \frac{1}{2}[/tex]

[tex]P(Tail) = \frac{1}{2}[/tex]

So, the required probability is:

[tex]P(Tail = 1) = (P(Head) * P(Tail)) + (P(Tail) * P(Head))[/tex]

Substitute values for P(Head) and P(Tail)

[tex]P(Tail = 1) = (\frac{1}{2}*\frac{1}{2}) + (\frac{1}{2}*\frac{1}{2})[/tex]

[tex]P(Tail = 1) = (\frac{1}{4}) + (\frac{1}{4})[/tex]

[tex]P(Tail = 1) = \frac{1}{4} + \frac{1}{4}[/tex]

Take LCM

[tex]P(Tail = 1) = \frac{1+1}{4}[/tex]

[tex]P(Tail = 1) = \frac{2}{4}[/tex]

[tex]P(Tail = 1) = \frac{1}{2}[/tex]

Answer:

The mean of the sampling distribution is 0.46

The standard deviation of the sampling distribution is 0.01

Step-by-step explanation:

We use the central limit theorem to solve this question:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.46, n = 2000[/tex]

So

Mean: [tex]\mu = p = 0.46[/tex]

Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{2000}} = 0.01[/tex]

The mean of the sampling distribution is 0.46

The standard deviation of the sampling distribution is 0.01

The mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively

The formula for calculating the standard deviation for a sample proportion is given as:

[tex]\sigma =\sqrt{\frac{p(1-p)}{n} }[/tex]

Note that p = mean = 0.46

To get the standard deviation:

[tex]\sigma =\sqrt{\frac{0.46(1-0.46)}{2000} }\\\sigma =\sqrt{\frac{0.46(0.54)}{2000} }\\\sigma = 0.01[/tex]

Hence the mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively.

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Answer:

16

Step-by-step explanation:

6x+k = 0

x = -k/6

3x-11 = 0

x = 11/3

-k/6 + 11/3 = 1

k - 22 = -6

k = 16

The value of k is "8".

[tex](6x+k)(3x-11)=0\ \ is \ \ 1 \\\\K=?[/tex]

[tex]\to (6x+k)(3x-11)=0 \ \ is \ \ 1 \\\\\to (6x+k)=0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ (3x-11)=0\\\\\to 6x=-k\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x=11\\\\\to x=-\frac{k}{6}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=\frac{11}{3}\\\\[/tex]

[tex]\to - \frac{k}{6}+ \frac{11}{3}=1\\\\\to \frac{-2k+ 22}{6}=1\\\\\to -2k+ 22=6\\\\\to -2k =6-22\\\\\to -2k =-16\\\\\to k=\frac{16}{2}\\\\\to k=8[/tex]

Therefore, the final value of k is "8".

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Answer:

135 in.

Step-by-step explanation:

Answer:

the multiplicative rate of change for the exponential change is 3

Step-by-step explanation:

Answer:

Left side: Bottom

Right side: Top

Step-by-step explanation:

If the angles are congruent AND the sides are proportional, then the two polygons are similar.

The similar pairs of polygons are:-

Left side: Bottom

Right side: Top

A polygon is a plane figure described by a finite number of straight-line segments connected to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both.

If the angles are congruent AND the sides are proportional, then the two polygons are similar.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

The polygons left side bottom  right side top are similar to each other in the given image.

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Answer:

The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the equation of a line

y = 2x + 4

comparing with the slope-intercept form of the line equation

The slope of the line AB is m = 2

We know that the parallel lines have the same slope.

Thus, the slope of the new line is also 2.

now we have,

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (x₁, y₁) =  (3, -2)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

y - (-2) = 2(x - 3)

y + 2 = 2x - 6

subtracting 2 from both sides

y + 2 - 2 = 2x - 6 - 2

y = 2x- 8

Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:

Answer:

Postive intiger factors: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Answer:

1,2,3,4,6,8,12,16,24,48

Step-by-step explanation:

Answer:...

-4+8x+2xy

Step-by-step explanation:

Answer:

83%

Step-by-step explanation:

65/78=.83333333333333

0.833333333 turnes into 83% once rounded and multipyled by 100

Answer:

200, 200

Step-by-step explanation:

Answer:

I can answer Part B since I can't explain Part A in words.

Step-by-step explanation:

Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)

Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)

Angle 4 = 81 degrees (I also don't know how to explain this.)

Answer:

5,326

Step-by-step explanation:

Answer:

b i think because for it to be imaginary, im sure there has to be an i in the equation

Answer:

A) Two Real Solutions

Step-by-step explanation:

Correct on Big Ideas Math :)

Answer:

-65a -21 "that is the simplified version"

Answer:

-65a - 21

Step-by-step explanation:

7 ( -9a - 3 ) -2a

Distribute, multiply every term in the parenthesis by the term right outside of the parenthesis,

7 ( -9a - 3 ) - 2a

-63a - 21 - 2a

Simplify

-65a - 21

Step-by-step explanation:

M=9.5 (16,292)

(y=mx+b)

292=9.5(16)+b

The linear equation m = 9.50 h + 140 represents the amount of money m that Mark has earned this summer after working h hours at the grocery store.

A linear equation is defined as an equation in which the highest power of the variable is always one.

Mark takes a job at the local grocery store, earning $9.50 per hour.

After working 16 hours at the grocery store, he earned a total of $292.

As per the given question, we can see points (16, 292)

Here earning $9.50 per hour can represent a slope of a linear function

Thus, M = 9.5 (16, 292)

The standard linear equation is given by,

⇒ m = Mx+b ....(i)

Substitute the values in the above equation,

292 = 9.5(16) + b

b = 292 - 152

b = 140

Substitute the value b = 140 in the equation(i),

⇒ m = 9.50 h + 140

Thus, the linear equation m = 9.50 h + 140 represents the amount of money.

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Answer:

314.5

2252.5

250

Step-by-step explanation:

Answer:

113

Step-by-step explanation:

divide the volume with the length

Answer:   Many of you know this, but why is this a thing? You don't go to Subway and pay for a $5-footlong expecting to get 11 inches (although many of you will argue this is the case). And it's not just a 2x4: A 1x4 is actually ¾ inches by 3-½ inches; a 4x4 is actually 3-½ inches by 3-½ inches.

Step-by-step explanation:

If you are asking what they equal up too, your answer is 16

If this isn't, please correct me and I will give you a better answer

Answer:

3/1*1/4

Step-by-step explanation:

when you multiply 3/1 by 1/4

Answer:

3\4

Step-by-step explanation:

Answer:

P = 13 + 13 + 10

P = 36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

you add up all the side lengths because that’s what perimeter is. 13+13+10, equals 36!

Answer: 35

Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome

Answer:

35

Step-by-step explanation:

got it right