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Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.

Answer:

13.5 years

Step-by-step explanation:

We are given the expression:

W(x)= 20 x (0.95)^x

Where W(x) = 20grams/2

= 10 grams

Hence:

10 = 20 x (0.95)^x

Divide both sides by 20

10/20 = 20 x (0.95)^x/20

0.5 = (0.95)^x

Take the log of both sides

log 0.5 = log (0.95)^x

log 0.5 = x log (0.95)

Divide both sides by log 0.95

x = log 0.5 / log 0.95

x = 13.513407334 years

Approximately to 1 decimal place =✓13.5 years

Therefore, it will take 13.5 years for the radioactive substance to be half of its original weight.

Answer:

13 inches

Step-by-step explanation:

Look at the start of where the graph becomes smooth.

Answer:

The guy above me is correct. The rise in the graph means it is snowing, the fllat line shows when it stops, then 2nd rise is the snow continuing at a different rate compared to the first. When the snow stopped the first time, look at where the flat line is on the y-axis. It lands on 13, which is 13 inches

Answer:

The answer is 5 degrees

Step-by-step explanation:

the answer is C since it needs to be lees than or -2

Answ

3xmas8

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listo

Answer:

[tex]Mean=83.05^{\circ}[/tex]

Step-by-step explanation:

Given that,

The two measures of a center are 82.5 degrees and 83.6 degrees.

We need to find the value of the mean.

We know that,

[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Total no of observations}}[/tex]

So,

[tex]M=\dfrac{82.5 +83.6 }{2}\\\\M=83.05^{\circ}[/tex]

So, the value of the mean is equal to [tex]83.05^{\circ}[/tex].

Answer:

C 16 inches

Step-by-step explanation:

a cylinder is 2 circles (1 on top, 1 at the bottom) and a round "mantle" connecting the two circles.

so, the surface area is the sum of the areas of both circles and the "mantle".

this "mantle" can be cut open and cut off the circles, and then be placed flat on the table. then it is simply a rectangle with the side lengths cylinder height (h) and circle circumference.

circle area : pi × r²

circle circumference : 2 × pi × r

rectangle area :

length × width = circle circumference × h

SA = 659.4 inches² = 2×(pi × r²) + (2×pi×r)×h =

= 2×pi×25 + 2×pi×5×h = 50×pi + 10×pi×h

=> 659.4 - 50×pi = 10×pi×h

=> (659.4 - 50×pi) / (10×pi) = h = 16 inches

Answer:

4/3

Step-by-step explanation:

GH =√90²-72²=

√8100-5184=

√2916= 54

so, tan (H) = 72/54 = 4/3

⁴/3 is a required answer.

Answer:

Solution given:

FG=72

FH=90

By using Pythagoras law

GH=[tex]\sqrt{90²-72²}=54[/tex]

Step-by-step explanation:

we have

Tan H=[tex] \frac{opposite}{adjacent}[/tex]

[tex]TanH=\frac{GF}{GH}=\frac{72}{54}=\frac{4}{3}[/tex]

Answer:

Step-by-step explanation:

Correct choice is B

Answer:

Step-by-step explanation:

Frequency of Section 1 is 28 and total number of  frequencies is 80.

Answer:

the frst person id wight!

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{3}x[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-3,-1) and (6,2)

[tex]=\frac{2-(-1)}{6-(-3)}\\=\frac{2+1}{6+3}\\=\frac{3}{9}\\=\frac{1}{3}[/tex]

Therefore, the slope of the line is [tex]\frac{1}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{1}{3}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{1}{3}x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=\frac{1}{3}(6)+b\\2=2+b[/tex]

Subtract 2 from both sides to isolate b

[tex]2-2=2+b-2\\0=b[/tex]

Therefore, the y-intercept is equal to 0. Plug this back into [tex]y=\frac{1}{3}x+b[/tex]:

[tex]y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]

I hope this helps!

Answer:

1 2/3, 10 1/3

Step-by-step explanation:

x + y = 12

(3x - 1) = 4

let x = 12-y

substitute:

3(12-y) - 1 = 4

36 - 3y - 1 = 4

35 - 3y = 4

-3y = -31

y = 31/3 or 10 1/3

x = 11 3/3 - 10 1/3 which is 1 2/3

BAnswer:

Step-by-step explanation:

Answer: circle

Step-by-step explanation:

Answer:

14cm, 16 cm, 18 cm

Step-by-step explanation:

Note that

= a:b: c = 7:8:9

We have to find the sum of the proportion

Sum of proportion = 7 + 8 + 9

= 24

Length of side a

7/24 × 48 = 14 cm

Length of side b

8 /24 × 48 = 16cm

Length of side a

9/24 × 48 = 18 cm

What are the lengths of the sides?

The lengths of the sides of the triangle in cm are

14cm, 16 cm, 18 cm

Answer:

The equation needs to be in standard form

Step-by-step explanation:

The equation needs to be in standard form

so the the coefficients a, b and c can be determined

for use in the quadratic formula

Answer:

0.06 liters

Step-by-step explanation:

acid concentration of 65% means that it of 100 units of that solution 65 are acid, and the remaining 35 are water.

so, 100 units are 0.2 liters in this example.

that means that 65/100 × 0.2 = 0.13 liters are acid.

35/100 × 0.2 = 0.07 liters are water

we get a 50% concentration, when we have the same amount of water and acid in the solution (acid is only half of 50% of the solution).

the account of acid remains the same, as we are only adding water.

so, how much water do we need to get from 0.07 liters to 0.13 liters (the same as the already present acid) ?

0.13 - 0.07 = 0.06 liters

Answer:

$2,990?

Step-by-step explanation:

x=-3

x=4

hope helps you

have a nice day

Answer:

360

Step-by-step explanation:

Volume of a cylinder = pi x r^2 x h

R is the radius which is given as 2 inches.H is the height given as 6 inches.

Using 3.14 for pi:

Volume = 3.14 x 2^2 x 6

Volume = 75.36 cubic inches

Answer:

[tex]\large \sf {\underline{\underline{ \fcolorbox{green}{g}{vσlumє \: σf \: cчlíndєr \: ís \: 75.36 \: cuвíc \: ínchєs}}}}[/tex]

Step-by-step explanation:

➟ Rαdíus σf cчlíndrícαl cαn ís 2 ínchєs.

➟ Hєíght f cчlíndrícαl cαn ís 6 ínchєs.

➟ Vσlumє σf cчlíndrícαl cαn.

➟ vσlumє σf cчlíndєr = π × r ² × hєíght

wє usєd fσrmulα

vσlumє σf cчlíndєr = π × r ² × hєíght

vσlumє σf cчlíndєr = 3.14 × (2 ínchєs) ² × 6 ínchєs

vσlumє σf cчlíndєr = 3.14 × 4 squαrє ínchєs × 6 ínchєs

vσlumє σf cчlíndєr = 3.14 × 24 cuвíc ínchєs

vσlumє σf cчlíndєr = 75.36 cuвíc ínchєs

Answer:

isosceles triangle

Step-by-step explanation:

isosceles triangles have two equal sides

Step-by-step explanation:

(3x-2) =13/7x9/8

3x =117/56+2

3x = 117+112/56

x =229/56x3

x= 229/168

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Answer:

x=229/168

Step-by-step explanation:

[tex]\frac{8(3x-2)}{9} =\frac{13}{7}\\or, 56(3x-2) =117\\Or,168x-112=117\\Or, 168x=229\\Or, x=\frac{229}{168} \\[/tex]

Answer:

2*4*5 = 40

Step-by-step explanation:

Answer:

It’s 12.48 but if it is only a number and no decimals it will be 12.

Step-by-step explanation:

Answer:

8 + 6 = 14

14 x 4 = 56

56 x 1/2(basically just dividing by 2) = 28 mm2

Formula of area of a trapezoid:

B1(base 1) + B2(base 2) x H(height) x 1/2(basically just dividing by 2)

In this case, 8 is your base your other base is 6 and your height is 4.

Answer:

Step-by-step explanation:

y=3x^2+12x = 3x (x+4)

zeroes: x={0, -4}

y = x^2+20x+100 = (x+10)^2

zeroes: x = -10 (twice)  

or x={-10, -10}

Answer:

3x + 16 = 22.75

3 = 22.75 - 16

3× = 6.75

3 3

x= 2.25