A. John wants to find the average time it takes students to run a lap around the track. He will consider 24 students to find the average time. Which unit(s) could be used for the unit of measurement?
1. Pounds
2. Seconds
3. Ounces
4. Minutes
5. Grams

B. Which of the procedures below would be the best way to find the average time?
1. Ask for 24 volunteers to run a lap around the track and have them state their own times.
2. Measure the times of 24 volunteers who run a lap around the track.
3. Randomly pick 24 students to run a lap around the track and measure their times.
4. Randomly pick 24 students to run a lap around the track and have them state their own times. ​

Answer:

B. 1/√2

Step-by-step explanation:

Soh Cah Toa

cos is adjacent over hypotenuse so from either 45° degree angle it is 1/√2

For the given right angle triangle, cos 45 = 1/√2

Hence, option B is correct.

In the given triangle,

Adjacent  = 1

Hypotenuse = √2

Since we know,

The values of all trigonometric functions depending on the ratio of sides of a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

For a right angled triangle,

Cosθ = adjacent / hypotenuse

Therefore,

cos 45 = 1/√2

To learn more about trigonometric ratios visit:

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Answer:

RM79 608.51

Step-by-step explanation:

First year,

RM505 050.00×5%=RM505 050.00×5/100

=RM25 252.50

second year,

(RM505 050.00+RM25 252.50)×5%=RM530 302.50×5/100

=RM26 515.13

third year,

(RM530 302.50+RM26 515.13)×5%=RM556817.63×5/100

=RM27840.88

three years interest,

RM25 252.50+RM26 515.13+RM27840.88=RM79608.51

I don't know that is R or RM

if it is R ,sorry

Hope can help!

Answer:

A

Step-by-step explanation:

The answer is A, the graph raises, crosses at (0, 5) and then remains constant.

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Answer:

  (a)  64/25

Step-by-step explanation:

The relevant properties of exponents are ...

  a^0 = 1 . . . . a ≠ 0

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Your expression simplifies to ...

  [tex]\left(\dfrac{2^3\cdot3^0}{5}\right)^2=\dfrac{2^{3\cdot2}\cdot1^2}{5^2}=\dfrac{2^6}{5^2}=\boxed{\dfrac{64}{25}}[/tex]

Answer:

A. the mode.

Step-by-step explanation:

Mean

Sum of all values divided by the number of values, so is affected by an outlier present in the data-set.

Standard deviation:

Square root of the sum of the differences squared between each value and the mean, divided by the sample size. As it's related to the mean, it is affected by an outlier.

Range:

Subtraction of the largest value of the data-set by the smallest value, and thus, is also affected by an outlier.

Mode

Value that appears the most often in the data-set, and thus, not affected by an outlier, which means that the correct answer is given by option A.

Answer:

[tex]x=63.0^o[/tex]

Step-by-step explanation:

Given

[tex]RS = 35[/tex]

[tex]RT = 77[/tex]

The attached triangle

Required

Solve for x

The relationship between x, RS and RT is:

[tex]\cos(x) = \frac{RS}{RT}[/tex]

This gives:

[tex]\cos(x) = \frac{35}{77}[/tex]

[tex]\cos(x) = 0.4545[/tex]

Take arc cos of both sides:

[tex]x = \cos^{-1}(0.4545)[/tex]

[tex]x=63.0^o[/tex] --- approximated

Answer:

if this is multiple choice then you forgot to give us the answers. the best answer i can give you is "the set of odd numbers is less than 15 because it does not exceed 13

A word description of sets is given below.

We have the following set -  {1, 3, 5, 7, 9, 11, 13}.

We have to write a word description of set.

A set is a collection of elements or members, which can be mathematical objects of any kind for example → numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

According to the question, we have the following set -

{1, 3, 5, 7, 9, 11, 13}

The above set is written in Roster or enumeration notation with the members enlisted between the curly braces. This set consist of 7 elements and each element of this set can be determined using the following rule -

a(n) = 2n - 1

This also represents the set of odd positive integers.

To learn more about sets, visit the link below-

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Explanation: Cut each coordinate in half.

In other words, multiply each coordinate by 1/2 = 0.5

6*0.5 = 3

-2*0.5 = -1

The point (6,-2) moves to (3, -1) after the dilation. This trick only works because the origin is the center of dilation.

Answer:

D.11,230

Step-by-step explanation:

11.23 = 1 KILOLITER = 1000 LITERS

11.23*1000

11230

Answer:

18.189 rows

Step-by-step explanation:

673 / 37 = 18.189189189

Hope this helps!

Answer:

A. Probability = 0.02

B. This is in a cumulative frequency table in the attachment I added

Step-by-step explanation:

A. We have these following probabilities

Prob(X=0) = 0.05

Prob(x= 2) = 0.30

Prob(X = 4) = 0.50

Prob(X < 2) = Prob(X=0) + prob(X=1)

0.18 = 0.05 + prob(X=1)

prob(X=1) = 0.13

A. Prob(x = 3)

= 1 - (0.05 + 0.13 + 0.30 + 0.50)

= 0.02

Probability of buying only 3 times = 2%

B. The cumulative frequency is in the attachment.

Answer:

probably linear graph 'cause it's in a straight line

Answer:

Step-by-step explanation:

First graph is correct which satisfies the given informations.

The graph is attached below.

Given:

Becky made a graph to show how far she was from her house.

She started jogging from zero distance from the house when she left and sprinted to the park, so the second and fourth graphs are incorrect.

She then spent some time at the park with some friends before returning home on the same path. The first one is accurate since we can see that for a brief while, the graph is parallel to the time axis, but the third one demonstrates that she hasn't taken a break.

Learn more about distance here:

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[tex]{\boxed{\mathcal{\purple{D.\:81}}}}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( {3})^{ \frac{11}{5} } \div {3}^{ \frac{ - 9}{5} } \\ \\=( {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) } \\ \\ = ( {3})^{ \frac{11}{5} + \frac{9}{5} } \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\ = ( {3})^{ \frac{20}{5} } \\ \\ = ( {3})^{4} \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81[/tex]

Note:-

[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

[tex]\sf\red{(-)\:x\:(-)\:=\:+}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

[tex]a = 5\\\\b = -1\\\\c=1[/tex]

Step-by-step explanation:

Given

[tex]-x+5x^2+1[/tex]

Required

Rewrite and identify a, b and c

The required form is:

[tex]ax^2 + bx + c[/tex]

Equate both expressions

[tex]ax^2 + bx + c = -x+5x^2+1[/tex]

Rewrite as:

[tex]ax^2 + bx + c = 5x^2-x+1[/tex]

Compare the expressions on either sides

[tex]a = 5\\\\b = -1\\\\c=1[/tex]

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Answer:

  7 : 9

Step-by-step explanation:

The ratio of interest is ...

  large coffees : small coffees = 42 : 54 = 7 : 9

Answer:

Step-by-step explanation:

p(-1)=5*-1 -4*-1 +3

=-5-(-4) +3

=-5+4 +3

=-5+7

=2

Answer:

2

Step-by-step explanation:

p(-1)= 5(-1)-4(-1)+3

p(-1)= -5+4+3

p(-1)= 2

Answer:

x = 41.05

Step-by-step explanation:

Given that,

In a right angles triangle,

Perpendicular height, P = 228

Angle 1 = 90°

Angle 2 = 47°

Angle 3 = 180-(90+47) = 43°

Using trigonometry to find x.

[tex]\sin\theta=\dfrac{P}{x}\\\\x=\dfrac{P}{\sin\theta}\\\\x=\dfrac{28}{\sin(43)}\\\\x=41.05[/tex]

So, the value of x is equal to 41.05.

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Answer:

  7 years

Step-by-step explanation:

The multiplier each quarter is 1 +10%/4 = 1.025. The number of quarters, n, that must pass before the value is multiplied by 2 is given by ...

  1.025^n = 2

Taking logarithms, we can solve for n:

  n×log(1.025) = log(2)

  n = log(2)/log(1.025) ≈ 28.071

It will take 28 quarters, or 7 years, for the value to double.

9514 1404 393

Answer:

  9 +7i

Step-by-step explanation:

i^2 = -1, so i^8 = (-1)^4 = 1, and i^5 = (-1)^2×i = i

Then ...

  7i^5 +9i^8 = 7i +9 = 9 +7i

Answer:

.082

Step-by-step explanation:

First find the common ratio

Take the second term and divide by the first term

20/50 = 2/5 = .4

Check with the third term divided by the second term

8/20 = .4

The formula for a geometric sequence is

an = a1 (r) ^(n-1)  where a1 is the first term and r is the common ratio

     =50 ( .4) ^ (n-1)

We want to find the 8th term

     = 50 ( .4)^(8-1)

      = 50 ( .4) ^7

      =0.08192

Round to the nearest thousandth

      = .082

Hope this help!!!

Have a nice day!!!

Answer:

18 15/16 ft

Step-by-step explanation:

what is the request here ?

to do the additions and bring all to one summary result of ft ?

I base my answer on this assumption.

10 1/16 = 161/16

8 3/8 = 67/8

1/2 = 1/2

note let's bring everything to 16th, so that we can actually add them.

161/16

67/8 = 134/16

1/2 = 8/16

161/16 + 134/16 + 8/16 = 303/16 = 18 15/16

cross check :

add all whole numbers first, and then add the remaining fractions too (need to bring them to 16th too).

10 + 8 = 18

1/16 + 3/8 + 1/2 = 1/16 + 6/16 + 8/16 = 15/16

together, 18 15/16

yeah, it is the same.

Answer:

option 1

Step-by-step explanation:

     [tex]x^2[/tex]      [tex]-2x[/tex]         [tex]+8[/tex]

                [tex]x[/tex]           [tex]-4[/tex]

_____________________

        [tex]-4x^2[/tex]     +8x        -32

[tex]x^3[/tex]      [tex]-2x^2[/tex]     +8x          0

_______________________

[tex]x^3[/tex]      [tex]-6x^2[/tex]     +16x       -32

[tex]A =+ 8x\\\\B = -2x^2\\\\C= +16x[/tex]

iii; iv; and v

Step-by-step explanation:

I think

Answer:

x = 9

Step-by-step explanation:

2x - 1 + 1 = 17 + 1

2x = 18

(2x=18)/2

x = 9

Answer:

2x - 1 = 17

add 1 on each side --> 2x = 18

x = 9 because one divides 2 from each side  and results to 9

Step-by-step explanation: