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The distance Grad rode his bike 9 / 10 miles is represented in decimal as 0.9 miles.

Decimal number are number whose whole number part and the fractional part is separated by a decimal point. Example of decimal numbers are 0.345, 7.45, 6.72 etc.  

The distance Grad rode his bike is represented in fraction. The distance can be converted to decimal number as follows:

Distance in fraction = 9 / 10 miles

Therefore, the distance in decimal = 0.9 miles

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Using empirical rule, 99.85% of the data falls above 61

Data;

Using empirical rule, it states that 68% of data is within 1 standard deviation from the mean mean± standard deviation 95% of data falls within 2 standard deviations from the mean mean± 2* standard deviation and 99.7% of data falls within 3 standard deviations from the mean mean± 3sd . So we can say that 0.15% of data are below mean minus 3 * standard deviation and 0.15% of data are above mean+3sd. In this case, the mean is 67 , SD = 3.

And if 61 is 3×SD below mean

[tex]Pr(X > 61)=1-Pr(X\leq 61) = 1 - 0.0015 = 0.9985\\1-0.0015=0.9985[/tex]

99.85% of data is above 61

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The answer is B. Corresponding pairs of sides on ABCD and PQRS are equal in length.

Two figures or objects are said to be congruent in geometry if their shapes and sizes match, or if one is a mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

In order for two polygons to be congruent, all corresponding pairs of sides and angles must be equal in measure, but only option B mentions the sides specifically.

Option A only mentions angles, option C mentions a reflection transformation, and option D mention a translation transformation, but neither of them provides enough information to show that all corresponding pairs of sides are equal.

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I assume the base of S is the disk centered at the origin, or x² + y² ≤ r². Solving for y gives two solutions corresponding to the upper and lower halves of the circular boundary,

[tex]x^2+y^2 = r^2 \implies y = \pm \sqrt{r^2-x^2}[/tex]

and the vertical distance between them - i.e. the side length of each cross section - is

[tex]\sqrt{r^2-x^2} - \left(-\sqrt{r^2-x^2}\right) = 2\sqrt{r^2-x^2}[/tex]

Then the volume of each square cross section 4 (r² - x²) ∆x, and the volume of S is

[tex]\displaystyle \int_{-r}^r 4(r^2-x^2) \, dx[/tex]

By symmetry, this is the same as

[tex]\displaystyle 8 \int_0^r (r^2-x^2) \, dx[/tex]

which gives a volume of

[tex]\displaystyle 8 \int_0^r (r^2-x^2) \, dx = 8 \left(r^3 - \frac{r^3}3\right) = \boxed{\frac{16r^3}3}[/tex]

Answer:

To measure the extracellular fluid volume, use a cell inpermeant marker substance such as inulin or mannitol that will equilibrate everywhere except in the cells (it is possible to make inulin and mannitol radioactive).

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

4 5/6 quarts or 4.83 quarts

Step-by-step explanation:

5 1/2 quart pot has an equal value to 11/2 quart pot

it is filled with 2/3 quarts of water

Therefore, the quarts of water the pot can hold is;

11/2 - 2/3

LCM = 6

11/2 - 2/3 ÷ 6

33 - 4 ÷ 6

29/6

:. 29/6 quarts(4 5/6 quarts or 4.83 quarts) of water is the amount needed to fill the 5 1/2 quart pot

Answer:

  a)  {5, 6}

  b)  {2, 3, 4, 5, 6, 7, 8, 9}

  c)  {0, 1, 7, 8, 9}

  d)  {0, 1, 2, 3, 4}

Step-by-step explanation:

The intersection of sets is the set of elements common to both. The union of sets is the set of all elements that are part of either set. The complement of a set is the set of elements in the universal set that are not in the set of interest.

__

  {2,3,4,5,6} ∩ {5,6,7,8,9} = {5, 6}

__

  {2,3,4,5,6} ∪ {5,6,7,8,9} = {2,3,4,5,6,7,8,9}

__

  U -A = {0,1,2,3,4,5,6,7,8,9} -{2,3,4,5,6} = {0,1,7,8,9}

__

  U -B = {0,1,2,3,4,5,6,7,8,9} -{5,6,7,8,9} = {0,1,2,3,4}

Answer:

Step-by-step explanation:

18+x=24 and 6x+3 fail distributive property, while 3(6+x)=72 is not the same as 3(6+x)=24

Answer:

sqrt(13)

Step-by-step explanation:

Assuming by a2 you mean a squared:

a^2=2b+1

a^2=2(6)+1

a^2=13

a=sqrt(13)

(if by a2 you mean 2*a then a=6.5)

Answer:

one sixteenth

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Given Information :-

⠀

A cone with dimensions :-

⠀

Another cone with dimensions :-

⠀

⠀

To Find :-

⠀

⠀

Formula Used :-

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[tex] \qquad \diamond \: \underline{ \boxed{ \red{ \sf T.S.A._{Cone}= \pi r(r+l) }}} \: \star[/tex]

⠀

Solution :-

⠀

For the first cone,

⠀

Since, we don't really have to find the exact values of the surface area, we will let pi remain as a sign itself, this will make the calculations easier.

⠀

[tex] \sf \longrightarrow T.S.A. = \pi \times 3(3 + 7) \\ \\ \\ \sf \longrightarrow T.S.A. = \pi \times 3 \times 10 \: \: \: \\ \\ \\ \sf \longrightarrow T.S.A. =30 \pi \: {cm}^{2} \: \: \: \: \: \: \: \: \\ \\ [/tex]

Now, for the second cone,

⠀

[tex] \sf \longrightarrow T.S.A. = \pi \times 5(5 + 9) \\ \\ \\ \sf \longrightarrow T.S.A. = \pi \times 5 \times 14 \: \: \: \: \\ \\ \\ \sf \longrightarrow T.S.A. =70 \pi \: {cm}^{2} \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Now, we just have to calculate the ratio of their surface areas, thus,

⠀

[tex] \sf \longrightarrow Ratio = \dfrac{Surface ~area~of~first~cone}{Surface ~area~of~second~cone} \\ \\ \\ \sf \longrightarrow Ratio = \frac{30 \pi \: {cm}^{2} }{70 \pi \: {cm}^{2} } \: \: \: \: \: \: \: \: \: \qquad \qquad \qquad \\ \\ \\ \sf \longrightarrow Ratio = \frac{ 3 \cancel{0 \pi \: {cm}^{2}} }{ 7 \cancel{0 \pi \: {cm}^{2} } } \qquad \qquad \qquad \qquad \\ \\ \\\sf \longrightarrow Ratio = \frac{3}{7} = 3 : 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, the ratio between the surface areas of the cones is 3 : 7.

⠀

[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

2

Step-by-step explanation:

Take the absolute value of the lowest y value.

So

[tex] | - 1| = 1[/tex]

Take the absolute value of highest y value.

[tex] |3| = 3[/tex]

Add those two together and divide by two.

[tex] \frac{1 + 3}{2} = 2[/tex]

So the amplitude is 2

Answer:

x=7

Step-by-step explanation:

1, Add 2 to both sides.  This gives us [tex]\sqrt{7x} =7[/tex]

2. Square both sides.  This gives us [tex]7x=49[/tex]

3. Divide both sides by 7.  This gives us [tex]x=7[/tex]

Answer: y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

    First we will find the slope, then we will find the y-intercept.

    Slope is change in y over change in x:

[tex]\frac{-1-3}{2--1}=\frac{-4}{3}[/tex]

    Now we will solve for the y-intercept:

y = [tex]\frac{-4}{3}[/tex]x + b

(-1) = [tex]\frac{-4}{3}[/tex](2) + b

-1 = [tex]\frac{-8}{3}[/tex] + b

[tex]\frac{5}{3}[/tex] = b

b = [tex]\frac{5}{3}[/tex]

    Final equation:

y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]

Answer:

You see that 73 degrees and angle 'a' must add up to be = to 180 degrees since both angles form that straaight line on the left. So 180 degrees - 73 = 107 degrees which is measure of angle 'a'

Step-by-step explanation:

Answer:

107°

Step-by-step explanation:

The two angles below form a linear pair.

They are characterized by forming a sum of 180°, which is the standard angle measure of any line.

⇒ a + 73° = 180°

⇒ a = 107°

Answer:

12 tiles

Step-by-step explanation:

Let,

Since the length of the larger rectangle is similar to the smaller rectangle, we can compare the dimensions of both rectangles by forming a ratio.

[tex]\text{(L of "s")}:\text{(B of "s")}= \text{(L of "l")}: \text{(B of "l")}[/tex]

Let,

[tex]\implies \text{L}_{1} }:\text{B}_{1} = \text{L}_{2} : \text{B}_{2}[/tex]

We are already given:

[tex]\implies 10:8 = 15 : \text{B}_{2}[/tex]

To simplify the ratio, multiply the extremes together and take them on one side. Then, multiply the middles together and take them on the other side.

[tex]\implies 10 (\text{B}_{2}) = 15(8)[/tex]

Divide 10 both sides to obtain the width of the larger rectangle.

[tex]\implies \dfrac{10 (\text{B}_{2}) }{10} = \dfrac{15(8)}{10}[/tex]

Simplify the equation as necessary.

[tex]\implies \text{B}_{2} = 12[/tex]

Thus, the width of the larger rectangle is 12 tiles.

Answer:

Volume of cube is width times length times height. So it's simply 1 unit × 1 unit × 1 unit = 1 unit³. Final answer: 1 unit³ (or 1 cubed unit).

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

multiply the length, width, and the height for the answer

is this is right please make it brainlyest!

Answer:

The International System of Units, or Le Système International d'Unités (SI), was established in 1960. The SI system of units is essentially a modernized metric system. SI is the official system of units for science and has been adopted for commerce and technology in Canada and most other nations. The seven units upon which the SI system is based are listed in the table that follows.

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

There are 2 outliers:

234, 880.

All the other values range from 485 to  510.

I'll do part 1 to get you started

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Answers:

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Explanations:

Answer:

D (1;3).

Step-by-step explanation:

1) the condition 'across the X-axis' means the x-coordinate is not changed, the y-coordinate is changed to positive value. Then

2) the required coordinates of point D are (1; 3).

note, the suggested option is not the only one.

Answer:

5.56 ft

Step-by-step explanation:

30.48 cm per foot

170 cm ÷ 30.48 cm/ft = 5.56 ft

Hope this helps!

Step-by-step explanation:

To draw a line of best fit, balance the number of points above the line with the number of points below the line.

[tex]\dfrac{-2x+5}{x+4} - \dfrac{8}{x+3}\\ \\= \dfrac{(-2x+5)(x+3)-8(x+4)}{(x+4)(x+3)}\\\\=\dfrac{-2x^2-6x+5x+15 -8x -32}{x^2+3x+4x+12}\\\\=\dfrac{-2x^2-9x-17}{x^2+7x+12}\\\\\\=\dfrac{-2x^2+(-9)x +(-17)}{x^2+7x+12}\\\\\text{Hence, }~ A=-2,~ B=-9, ~C=-17, ~D=12[/tex]

Answer:

yes!

Step-by-step explanation:

because it is 0.

if it is was 1.304, it would be more than 1 meter.

Hope this makes sense! If you have further questions, let me know!

- profparis

Answer:

x=5/3

Step-by-step explanation:

there is only 1

Answer:

5/2 or 2 1/2

Step-by-step explanation:

You divide the area by the width to get the length

5/8 / 1/4 and do keep change flip to get:

5/8 * 4/1 = 20/8 which you then simplify and get 5/2

Answer:

1 glass - 189 mm

thn 36 - 189 x 36

6804mm - 0.6 littre is holded by 36 glass