Solve the triangle.
A = 46°, a = 31, b = 27

There are 8 possibilities when flipping three coins and the possibility of getting all heads is 1 out of 8.

1. h h h

2. h h t

3. h t h

4. h t t

5. t t t

6. t t h

7. t h t

8. t h h

Therefore the probability is:1/8

Answer:

Step-by-step explanation:

2y = 3 -2x

Rearrange the equation to slope-intercept form

y = -x + 3/2

Slope of line is 3/2.

Answer:

A. True

B. False

Step-by-step explanation:

B is false because rational numbers have either repeating decimals or numbers that come to an end.

Answer:

Martha wrote 6 2,000-word essays.

Step-by-step explanation:

15,000 (words total) - 3,000 (3 1,000-word essays) = 12,000 (words left for the 2,000-word essays).

Since the rest of the essays were 2,000 words, we can divide 12,000 by 2,000 to get 6.

Answer:

C. $1.73

Step-by-step explanation:

$5.03

$3.30

---------

$1.73

Answer:

since M lies between point A and B , we came to know that,

M(4,6) =(x,y)

A(-2,-1)=(x1 ,y1)

B( _, _ )=(x2,y2)

Now using mid point formula,

x=x1×x2÷2 y=y1+y2÷2

so, point B is (10,13)

Answer:

1 1/4

Step-by-step explanation:

25/20=5/4=1 1/4

Hope this helps, thanks!

Answer:

300,000 + 4,000 + 10 + 5

Step-by-step explanation:

Write down what everything is worth.

The 3 is worth 300,000 since it's in the hundred thousands place

The 0 is worth nothing so write nothing

The 4 is worth 4,000 since it's in the thousands

The 0 is worth nothing so write nothing

The 1 is worth 10 since it's in the tens place

The 5 is worth 5 since it's in the ones place

Answer:

A) 18.3

Step-by-step explanation:

Since adding b and a gives 19.

c must be less than 19.

So, A) 18.3 is the correct answer

We know that the sum of measure of any two sides of a triangle is greater than the third Angle.

So, in this case,

Now, here only 19 is only greater than 18.3 from the options. Hence, 18.3 is the correct answer.

Answer:

Step-by-step explanation:

In such cases use the vertical line test. If the graph is intersected at more than one point, it is not  a function.

Both the given graphs represent a function as both pass the vertical line test.

Answer:

Yes

Step-by-step explanation:

Whenever you are given a problem that's asking to see if a graph is a function or not, always use the vetical line test to determine that. In short, you draw a line accross each y axis point and if the line only goes accross one point throughout the graph then it's a function. Following the test we will see that both graphs are indeed functions.

Best of Luck!

she share it to thirty seven people

Answer:

5.65%

Step-by-step explanation:

Find the percent of respondents that said they had experienced depression by dividing 113 by 2000:

113/2000

= 0.0565

Multiply this by 100:

0.0565(100)

= 5.65

So, 5.65% of the respondents said they had experienced depression in the past 12 months.

Answer:

-3

Step-by-step explanation:

Answer:

18 inches²

Step-by-step explanation:

The formula for the area of a rectangle is: [tex]A=lw[/tex]

Substitute the given values for the variables.

[tex]A=(9)(2)=18[/tex]

Therefore, the area of the rectangle is 18 inches².

Answer: Area = 18 inches²

Concept:

Here, we need to know how to find the area of a rectangle.

Area (rectangle) = l × w

l = length

w = width

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Given information

l = 2 inches

w = 9 inches

Given equation

Area = l × w

Substitute values into the equation

Area = 2 × 9

Area = 18 inches²

Hope this helps!! :)

Please let me know if you have any questions

9514 1404 393

Answer:

  3 feet

Step-by-step explanation:

The equation with all the parameters filled in is ...

  f(t) = -16t² +8t +2

The maximum height occurs at the vertex of the function, which can be written in vertex form as ...

  f(t) = -16(t² -1/2t) +2

  f(t) = -16(t² -1/2t +1/16) +2 +16(1/16)

  f(t) = -16(x -1/4)² +3

The vertex of the graph is (1/4, 3), so the maximum height is 3 feet.

Answer:

Large Box weighs

13.25 kg and Small box weighs 6.25 kg

Step-by-step explanation:

Let the large box be L and small box be S

According to question,

6L + 2S = 92 kg .... (i)

and 3L + 5S = 71 kg ....(ii)

Subtracting we get,

3L - 3S = 21 kg

or L - S = 7 kg

or L = 7 + S kg ... (iii)

Now, putting the value of L in eqn (i) we get

6 (7+S) + 2S = 92 kg

or 42 + 6S + 2S = 92

or 8S = 50

or S = 50/8

or S = 6.25 Kg

Then, 6L + (2×6.25) = 92 kg

or, 6L = 92 - 12.5

or, L = 79.5/6

or, L = 13.25 kg

There are zero number of outliers in data set.

The [tex]1.5[/tex] IQR rule for outliers says that any data point below [tex]Q_{1} -1.5\ IQR[/tex] is a low outlier. or lower than this are a low outliers.

And,

[tex]IQR=Q_{3} -Q_{1}[/tex]

We have,

[tex]Q_{1}= 275[/tex]

[tex]Q_{3} = 933[/tex]

Minimum [tex]= 1[/tex]

Maximum [tex]= 2596[/tex]

Median [tex]= 533[/tex]

Now,

[tex]IQR=Q_{3} -Q_{1}[/tex]

IQR [tex]=933-275=658[/tex]

So,

[tex]Q_{1} -1.5\ IQR[/tex]

[tex]=275-1.5*658[/tex]

[tex]=-712[/tex]

So, any data point lower than this is the low outlier.

As we see the given histogram, there is no point below this outlier so, in the given histogram there is no low outlier.

Hence, we can say that here are zero number of outliers in data set.

To know more about IQR rule for outliers click here

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Answer:

The correct answer is 3.

Step-by-step explanation:

Answer:

0.300 + 0.030 + 0.004

or

0.100 x 3  +  0.01 x 3  +  0.001 x 4

9514 1404 393

Answer:

  x ≈ −2.10487278573

Step-by-step explanation:

I find a graphing calculator to be a very useful tool for the purpose. It shows the only real root is irrational and gives an approximation as x=-2.105.

The calculator also provides the means to perform Newton's method iteration easily to refine the value of the root to full calculator precision.

__

The Newton's method iterator for finding the next iteration of the root (x') is ...

  x' = x - f(x)/f'(x)

Starting with the approximation shown on the graph, it only takes two iterations to get the root to the full precision of the calculator.

Answer:

0.04

Step-by-step explanation:

first we change 1/5 into a decimal which is 0.2

the we just multiply it by itself which is

0.04

Answer:

3:1

Step-by-step explanation:

In this classroom, there are three times as many boys as girls. This means that for every 1 girl there are 3 boys. This can be represented in the ratio, 3:1. The 3 represents the number of boys and the 1 is the girl. This ratio can also be applied to real-life questions. For example, in a class of 20, there would be 15 boys and 5 girls, 15:5. In this case, there are 3 times more boys than girls, just like in the statement.

Answer: C.Trapezoid

Step-by-step explanation: I got it correct on pearson

Answer:

Step-by-step explanation:

x - first

x + 12 - second

x + (x + 12) = 44

2x=44-12

x=16

first number is 16

second number is 16+12=28

two numbers are 16 and 28

16 and 28 are the required two numbers when one number exceeds another by 12 and their sum is 44

One number exceeds another by 12 and their sum is 44

We need to find the two numbers

Two expressions with equal sign is called equation.

Let x be the first number

x + 12 be the  second number

x + (x + 12) = 44

2x=44-12

x=16

Therefore first number is 16

second number is 16+12=28

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Answer:

3

Step-by-step explanation:

This is a classic puzzle!  If you pick out three socks, and they have only 2 colors, you'll get at least one match because they can't be 3 different colors.

Answer:

3x°+2x°+30°=180°

5x= 180-30

5x=150

x=30°

Answer:

Step-by-step explanation:

-3≤x≤3

Answer:

Answer is 4 I think!!

Answer:

D

Step-by-step explanation:

The graph has vertical asymptotes x = 1 and x=2. It means that the denominator is approaching zero when x is close to 1 or x close to 2. Hence the denominator has factor x -1 and x-2 and D is the only option to have that.