There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores
were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?
O 79%
O 82%
O 87%
O 92%

If wheel on a scooter completes 124 revolutions and travels 22.4 meters then  diameter of the wheel is 57 mm

Each revolution of the wheel covers a distance equal to the circumference of the wheel.

The diameter of the wheel "d".

The distance covered in 124 revolutions is:

distance = 124 x circumference

= 124 x pi x d

= 124 x 3.14 x d

We know that this distance is equal to 22.4 meters, so we can set up an equation:

124 x 3.14 x d = 22.4

Simplifying and solving for d:

d = 22.4 / (124 x 3.14)

d = 0.057 meters

As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters

d = 57 millimeters

Therefore, the diameter of the wheel is approximately 57 mm.

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Answer:

d=35

Step-by-step explanation:

Candy spends £2.65, has 2/3 left and Candy has £7.95 money to start with.

Given that Candy spends £2.65 and has 2/3 of the initial amount left, we are required to find how much money Candy has to start with.

Solution:Let the initial amount of money Candy has be x.

Then, the amount of money spent by Candy = £2.65

Amount of money left with Candy = 2/3 of the initial amount

∴ Money left = 2/3 × x

Amount of money spent + money left = initial amount of money

Candy spends £2.65:2/3 of the initial amount left

= £ (x - 2.65)∴ 2/3 × x

= x - 2.65⇒ 2x/3

= x - 2.65⇒ 2x

= 3x - 7.95⇒ 3x - 2x

= 7.95⇒ x = 7.95

Hence, Candy has £7.95 to start with.

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Answer: 27

Step-by-step explanation:

Use PEMDAS (Parenthesis,Exponents,Multiplication,Division,Addition,Subtraction)

to solve this problem. First multiply 5 times 4 to get 20. Then divide 14 by 2 to get 7. Lastly, add those two answers to get 27 as the final answer.

The rectangular equation for the curve is \(y = \frac{x^{2}}{2} -1\).

In this question, we have a set of parametric equation which must be reduced into a single rectangular equation both by algebraic and trigonometric means, that is to say:

\(x = f(\theta), y = g(\theta) \to y = h(x)\)

If we know that \(x = 2\cdot \cos \theta\) and \(y = \cos 2\theta\), then the rectangular equation is:

\(y = \cos 2\theta\)

\(y = \cos^{2}\theta - \sin^{2}\theta\)

\(y = 2\cdot \cos^{2}\theta -1\)

\(\cos \theta = \frac{x}{2}\)

\(y = 2\cdot \left(\frac{x}{2} \right)^{2}-1\)

\(y = \frac{x^{2}}{2} -1\)

The rectangular equation for the curve is \(y = \frac{x^{2}}{2} -1\).

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The image of p(-5,11) along the vector <3,-8> is p'(-2, 3)

The location of the point is given as

Point = (-5, 11)

The vector is given as

Vector = <3, -8>

This means that the location of the image is calculated as

Image = Point + Vector

Substitute the known values in the above equation, so, we have the following representation

Image = (-5 + 3, 11 - 8)

Evaluate

Image = (-2, 3)

Hence, the image is (-2, 3)

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The expression without absolute value bars is 3.84.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

|√10 - 7 |

= | 3.16 - 7 |

= | -3.84 |

= 3.84

Thus,

The value of the expression is 3.84.

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Answer:

Allison

Step-by-step explanation:

Allison:

2^6 = 64

Chris:

3³ = 27

Hannah:

4² = 16

Steve:

18^1 = 18

Answer:

Allison

Step-by-step explanation:

Allison

\(2^{6}\) = 2 x 2 x 2 x 2 x 2 x 2 = 64

Chris

\(3^{3}\) = 3 x 3 x 3 = 27

Hannah

\(4^{2}\) = 4 x 4 = 16

Steve

\(18^{1}\) = 18 = 18

Answer:

If Jack adopted half of the spaniel puppies, and there are 4 spaniel puppies, that means that he adopted 2 puppies.

If Carmen adopted half of the beagle puppies, and there are 6 beagle puppies, then Carmen adopted 3 puppies. This means that Carmen adopted more puppies than Jack.

Step-by-step explanation:

1/2 of 4 = 2

1/2 of 6 = 3

Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, a shelter had 4 spaniel puppies and 6 beagle puppies.

Jack adopted 1/2 of the spaniel puppies.

That is, 1/2 ×4 =2

Carmen adopted 1/2 of the beagle puppies.

That is, 1/2 ×6 =3

Therefore, Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.

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The solution of the fraction is 6 11/35.

Covert mixed numbers to improper fractions:

\(2\frac{5}{7}g=\frac{19}{7}g\)

\(3\frac{3}{5}g=\frac{18}{5}g\)

factor out common term g:

=\(g(\frac{19}{7} +\frac{18}{5})\\g(\frac{221}{35})\)

Convert improper fractions to mixed numbers:

\(=\frac{221}{35}g \\\\=6\frac{11}{35} g\)

Hence, The solution of the fraction is 6 11/35.

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Answer:

1 and 20    or   2 and 10   or   4 and 5

Step-by-step explanation:

the divisors of 20 are 1 , 2 , 4 , 5 , 10 , 20

Then

20 = 1 × 20

     = 2 × 10

     = 4 × 5

Answer:

21134 bacteria

Step-by-step explanation:

The given parametrs can be interpreted as:

\(y = 8(2.4)^t\)

Required

Find y when t = 9

Substitute \(t = 9\)

So:

\(y = 8(2.4)^9\)

\(y = 8 * 2.4^9\)

\(y = 8 * 2641.81\)

\(y = 21134.48\)

\(y = 21134\) --- approximated

Hence, there are 21134 bacteria

They must mix 40 pounds of the Terraza Blend 20 pounds of the Breakfast Blend

x is the blend of Tereza

y is the blend of breakfast coffee

We have to form the following equations

x + y = 60 ---- 1

8.2x + 11.7y = 60 x 9.37 -----2

From equation 1

y = 60 - x

we have to put the above into equation 2

such that we would have

8.2x + 11.7( 60 - x) = 562.6

8.2x + 702 - 11.7x = 562.6

we have to take the like terms

8.2x  - 11.7x = 562.6 - 702

3.5x = 139.4

divide through by 3.5x

x = 139.4/3.5

= 39.8 this is approximately 40

Remember that y = 60 - x

y = 60 - 40

y = 20

Hence we would have the statement as

They must mix 40 pounds of the Terraza Blend 20 pounds of the Breakfast Blend

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The X variables have an overall correlation of 0. VIF, or Variance Inflationary Factor, measures the

Regression analysis's level of multicollinearity is gauged by a variance inflation factor, or VIF. When several independent variables in some kind of a model with multiple regression correlate with one another, this is known as multicollinearity. The regression findings may be significantly impacted by this.

Greater correlation between the variable and other variables is indicated by a higher value. With values of Ten or more being considered very high, values greater than 4 or 5 are occasionally considered to be moderate to high.

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The expression −(4b)(4b)(4b) using positive exponents is -(4b)³

From the question, we have the following parameters that can be used in our computation:

−(4b)(4b)(4b)

Express properly

So, we have

−(4b) * (4b) * (4b)

5⁻¹² * 32⁻³ * 9⁻¹⁵

By using the definition of positive exponents, we have

−(4b) * (4b) * (4b) = -(4b)³

So, the solution is -(4b)³

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Answer:

m = 5

Step-by-step explanation:

                   ( x , y )

here x is m and y is 5, lets put it in the equation to solve:

5x-y=20

5(m) - 5 = 20

5m = 20 + 5

5m = 25

m = 25/5

m = 5

Answer:

Yes , the number should be even and divisible by 5 and then it can be divisible by 10 as well

The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

Answer:

Step-by-step explanation:

NOT 5.

_____________________

Firstly note that the radius of the circle is 13 ( centre to D )

Thus the distance from B to the centre is 13

Thus B → E → centre is a right triangle and distance from centre to E (x) can be calculated using Pythagoras' identity, that is

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x =  = 5

The distance from the centre to C ( the radius ) is 13, thus

x + EC = 13, that is

5 + EC = 13 ( subtract 5 from both sides )

EC = 8

Answer:

The answer is 8

Step-by-step explanation:

Answer:

Option (3)

Step-by-step explanation:

Given function is,

f(x) = 3x² - 2x

     = \(3(x^{2} -\frac{2}{3}x)\)

     = \(3(x^{2} -\frac{2}{3}x+\frac{1}{9}-\frac{1}{9})\)

     = \(3(x^{2}-\frac{2}{3}x+\frac{1}{9})-\frac{1}{3}\)

     = \(3(x-\frac{1}{3})^2-\frac{1}{3}\)

Vertex of the parabola → \((\frac{1}{3},-\frac{1}{3})\)

Here, leading coefficient is positive (+3),

Therefore, parabola will open upwards.

In a parabola opening upwards function decreases from negative infinity to the x value of the vertex.

Function will decrease in the interval (-∞, \(\frac{1}{3}\)).

Option (3) will be the answer.

Answer:

165

Step-by-step explanation:

30% x 550= 165

Answer:

8(w+6)=9

You must add parentheses to show the order in which you will complete the problem. Because it says “eight times the sum of a number and 6” you have to find the sum first, then multiply 8.

Answer:

\(0\)

Step-by-step explanation:

Given:

\(f(x) = \begin{cases} -x -2 &, &x < 0 \\ x &, &0 \leqslant x < 3 \\ x^2 -1 &, &3 \leqslant x \end{cases}\)

Solving for \(f(0)\):

\(f(0) = x \text{ when } x = 0 \\ f(0) = 0\)

Answer:

Step-by-step explanation:

move fast

Answer:

The P​-value is the probability of getting a test statistic at least as extreme as the one representing the sample​ data, assuming that the null hypothesis is true.

Step-by-step explanation:

The P​-value is the probability of getting a test statistic at least as extreme as the one representing the sample​ data, assuming that the null hypothesis is true.

The p-value is the probability that, if the null hypothesis were true,sampling variation would yield and estimate that is further away from the hypothesised value than our data estimate. The p-value shows us how possible it is to get a result like this if the null hypothesis is true.

Assuming we have a null hypothesis and an alternative hypothesis computed as follows.

\(H_o : \mu = 5 \\ \\ H_1 : \mu \neq 0.5\)

If P-value is less than or equal to \(\mu\) , we will reject the null hypothesis.

The equation is:

Given that the line has slope of 1/2, and passes through th e point (6, -3), the equation in point-slope form is:

This becomes:

Answer:

Step-by-step explanation:

Product means multiply.

-300

Answer:

1,500

Step-by-step explanation:

8,000-2,000=6,000

6,000/4=1,500

she would have to save 1,500 dollars each summer to pay for the first year's tuition