convert the word three and five tenths into a fraction

Answer:

a) 68%

b) 99.7%

c) 95%

Step-by-step explanation:

The mean height for an 8th grader in the State of Florida is 146 cm with a standard deviation of 8 cm. Given a normal distribution, use the Empirical Rule to interpret the data.

Empirical rule states that:

68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Mean = 146

Standard deviation = 8cm

a) What percent of 8th graders heights are between 138 cm and 162 cm?

146 - sx = 138cm

146 - 138 cm = 8cm

146 - 162 cm = 8cm

Hence,68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .

b) What percent of 8th graders heights are between 122 cm and 170 cm?

Standard deviation = 8

146 - 122 = 24 cm

146 - 170 = -24cm

24cm/8 cm = 3

Hence,99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

c) What percent of 8th graders heights are between 130 cm and 162 cm?

146 cm - 130cm = 16cm

162 cm - 146 cm = 16 cm

16cm/8cm

= 2

Hence, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Answer:

the 100th term would be 193

Step-by-step explanation:

5-(n-1) times 2

5-99 times 2

5-198

193

I hope this helps

Answer:

$3.38

Step-by-step explanation:

8/1.5=18/x

18*1.5/8

3.375

or 3.38

Hope this helps plz hit the crown :D

Answer:

18=3.38

Step-by-step explanation:

Answer:

A: y= 2x -2

B: y= 1/3x +2

C: set the two = to each other and solve

2x-2= 1/3x +2

1 2/3x -2= 2

1 2/3x = 4

x= 12/5

y= 1/3 (12/5) +2

y= 14/5

answer to C is (12/5 , 14/5)

Answer:

answering so they get brainest

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

You know the angle of 90 degrees on both sides. Then you see they have the same side, and then you see they have the same angle (vertical angles)

Answer: 80°; the supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle this means that the supplementary angle to the 30° angle and ∠1 is a 70° angle therefore 30°+m ∠1+ 70° equals 180°. So, m ∠1= 180°.

Step-by-step explanation:

The measure of angle 1 should be 80 degrees.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.

Then its meaning; supplementary angles are aligned adjacent to each other, and their exterior sides will make a straight line.

The supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle which means that the supplementary angle to the 30° angle and ∠1 is a 70° angle.

Therefore 30° + m ∠1 +  70° = 180°.

100 + m ∠1= 180°.

So, m ∠1= 80°.

Learn more about supplementary angles here:

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Answer:

acute i think??

Step-by-step explanation:

Answer:43.3

Step-by-step explanation:

Answer:

m∠1 = 106

Step-by-step explanation:

Given: m∠5 = 106

Vertical angles are congruent

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Therefore: m∠1 = 106

Understanding:

[Q4] Slope intercept form is [tex]y=mx+b[/tex], where m is slope and b is the y-intercept. We calculated the slope in the previous question which was -45. We can find b by using any point on the previous table and replacing it's x and y values, for this example, I'm going to use (0,1080).

[tex]y=mx+b\\1080=-45(0)+b\\b=1080[/tex]

Now, we can rewrite the equation as follows

[tex]y=-45x+1080[/tex]

[Q5] To find the y-intercept we simply replace every x value with a 0,

[tex]y=-45x+1080\\y=-45(0)+1080\\y=1080[/tex]

This means the y-intercept is at [tex](0,1080)[/tex].

For the x-intercept, you replace the y value with a 0 and solve for x,

[tex]y=-45x+1080\\0=-45x+1080\\-1080=-45x\\x=24[/tex]

This means the x-intercept is at [tex](24,0)[/tex].

Solutions:

[Q4] [tex]y=-45x+1080[/tex]

[Q5] x-intercept: [tex]x=24[/tex]; y-intercept: [tex]y=1080[/tex]

[Q6] The x-intercept represents the months it takes Philip to fully pay his friend for the car. The y-intercept represents the total amount Philip had to pay his friend.

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

Answer:

The final score of Roger is 22.  

Step-by-step explanation:

The final score (F) of Roger is given by:

[tex] F = 5R - 2W [/tex]

Where R is the right answers and W is the wrong answers

Since he gets 6 questions correct (R = 6) and 4 question wrong (W = 4) we have:

[tex] F = 5R - 2W = 5*6 - 2*4 = 22 [/tex]

Therefore, the final score of Roger is 22.    

I hope it helps you!                              

Answer:

50, 25

Step-by-step explanation:

Answer:

We conclude that:

[tex]20\times \:3\frac{1}{5}=64[/tex]

Step-by-step explanation:

Given the expression

[tex]20\:\times 3\frac{1}{5}[/tex]

convert mixed number to improper fraction: [tex]a\frac{b}{c}=\frac{a\times c+b}{c}[/tex]

i.e. [tex]3\frac{1}{5}=\frac{3\times 5+1}{5}=\frac{16}{5}[/tex]

so the expression becomes

[tex]20\:\times 3\frac{1}{5}\:=20\times \:\frac{16}{5}[/tex]

Factor the number: 20 = 5×4

              [tex]=5\times \:4\times \frac{16}{5}[/tex]

Cross-cancel common factor: 5

               [tex]=4\times \:16[/tex]    

Multiply the numbers: 4×16 = 64

               [tex]=64[/tex]

Therefore, we conclude that:

[tex]20\times \:3\frac{1}{5}=64[/tex]

Answer:

we prove the both triangle

first we profe sides

two years late but hope this helps !!

Answer:

100

Step-by-step explanation:

10 puls 10 10 times lol

Answer:

15/4

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

log2x-log(x-3)=1

log(2x/x-3)=1

2x/x-3=10¹

2x/x-3=10

2x=10x-30

10x-2x=30

8x=30

x=30/8

x=15/4

Answer:

−190b+16y−8

Step-by-step explanation:

Answer:

When d = 8

c = 48

when c = 54

d = 9

Step-by-step explanation:

We have the equation c is proportional to d

[tex]c \: \: \: \alpha \: \: d[/tex]

ie

[tex]\frac{c}{d} = \: a \: constant[/tex]

here given that c = 24 and d = 4 so,

[tex] \frac{c}{d} = \frac{24}{4} = 6[/tex]

so we have to find values for c and d which gives

c/d = 6

so when d = 8

[tex] \frac{c}{8} = 6 \\ so \: \\ c = 8 \times 6 = 48 \\ \\ and \: when \: \\ c \: = 54 \\ \\ \frac{54}{d } = 6 \\ \\ d \: = \frac{54}{6} = 9[/tex]

Answer:

Step-by-step explanation:

We know:

‘c’ is directly proportional to‘d’

and

c = 24 when d = 4

W can write this in mathematical form as:

c∝d

Removing the proportionality symbol, k is the constant of proportionality

c = kd

To find the value of k, putting the known values of c and d

[tex]24 = k * 4\\k = \frac{24}{4} = 6[/tex]

So the equation becomes

[tex]c = 6d[/tex]

To find the value of c when d = 8

[tex]c = 6*8\\c = 48[/tex]

To find the value of d when c=54

[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]

Hence,

Answer:

8times -12

Step-by-step explanation:

hope that helps

Expression 4(2x - 3) will have an analogous expression of 12x - 12.

The link between numbers, variables, and functions using mathematical signs like addition, subtraction, multiplication, and division is referred to as expression in mathematics.

Mathematical expression is defined as the relationship between numerical variables and mathematical operations such addition, subtraction, multiplication, and division.

Given expression is 4(2x - 3 ). The equivalent expression will be solved as below,

E = 4(2x - 3 )

E = 8x - 12

Hence, 8x – 12 will be the equivalent expression.

To know more about an expression follow

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Answer:

2  4/15 km

Step-by-step explanation:

Answer:

2 4/15 kilometers

Step-by-step explanation:

Answer:

12 red peppers

Step-by-step explanation:

2 peppers for 4 dollars means 1 pepper= 2$. 24/2=12

Answer:

the first one

[tex].5x+10\geq .25x+15[/tex]

Step-by-step explanation:

They want to know how much I will take for the amount they have read to be the same. So that automatically crosses out the last one. They asking you to subtract anything so that crosses the third one out. The second option has the number of pages the both read first switched so that crosses that one out.

I hope this explanation was helpful.

Answer:

12

Step-by-step explanation:

2 + 3 + 7 pathways = 12 :)

Answer:

11

Step-by-step explanation:

a

Answer: 2^-3 = 0.125

Step-by-step explanation:

Just took a test over it :)

Answer:

[tex] -2 \: \: 4[/tex]

Step-by-step explanation:

-2 4 is not an equivalent equation

Answer:

c

Step-by-step explanation:

duh

[tex]5+2\sqrt{5} , 5-2\sqrt{5}[/tex]    Answer:   5±2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

x2 -10x=5=0

x2-10x+25=-5+25

(x-5)(x-5)=20

[tex](x-5)^{2} =\sqrt{20}[/tex]

[tex]\sqrt{x-5}=\sqrt{20}[/tex]

x-5=±[tex]\sqrt{20[/tex]

x=5±[tex]\sqrt{5*4[/tex]

x=5±2[tex]\sqrt{5}[/tex]