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2 years ago

The test scores of the students in four classes are summarized below. Answer the questions about them.

Mathematics

1 answer:

aalyn [17]2 years ago

6 0

Answer:

Suppose that the mean score is M, and the range of scores is R.

The range is the difference between the largest score and the smallest score.

So, if the largest score is L, and the smallest score is S, we have:

R = L - S

Now, if the value of R increases, means that the difference between L and S also increases.

So having a large range usually is also a sign of having large variability.

Then:

a: Based on the information above, which class's scores have the most variability?

The class's scores with the most variability will be the class's scores with the largest range, in this case, the largest range of scores is for Class D.

b: Based on the information above, which class's scores have the least variability?

Now we need to look at the class with the least range of scores, in this case, the smallest one is the one for Class A.

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Simple Question: What is 5x6-3/9?

Pavlova-9 [17]

Solve the multiplication first then the division and the subtract them to get something like this:
$30- \frac{1}{3}
= \frac{89}{3}$
which simplifies to 29.7 (3 significant figure )

6 0

2 years ago

Ivan draws PQR on the coordinate plane.

Ivahew [28]

Answer:

Perimeter of PQR = 37 units (Approx.)

Step-by-step explanation:

Using graph;

Coordinate of P = (-2 , -4)

Coordinate of Q = (16 , -4)

Coordinate of R = (7 , -7)

Find:

Perimeter of PQR

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between PQ = √(-2 - 16)² + (-4 - 4)²

Distance between PQ = 18 unit

Distance between QR = √(16 - 7)² + (-4 + 7)²

Distance between QR = √81 + 9

Distance between QR = 9.48 unit (Approx.)

Distance between RP = √(7 + 2)² + (-7 + 4)²

Distance between RP = √81 + 9

Distance between RP = 9.48 unit (Approx.)

Perimeter of PQR = PQ + QR + RP

Perimeter of PQR = 18 + 9.48 + 9.48

Perimeter of PQR = 36.96

Perimeter of PQR = 37 units (Approx.)

8 0

2 years ago

Solve the following system of equations: 3x − 2y = 6 6x − 4y = 12 (0, 0) (6, 12) Infinitely many solutions No solutions

Fantom [35]

<u>Answer:</u>

The correct answer option is: infinitely many solutions.

<u>Step-by-step explanation:</u>

We are given the following system of equations:

$3 x - 2 y = 6$ --- (1)

$6 x - 4 y = 1 2$ --- (2)

Dividing equation (2) by 2 to get:

$3 x - 2 y = 6$ --- (3)

As the equation (3) is same as the equation (1), therefore the system will have infinitely many solutions.

7 0

2 years ago

Read 2 more answers

Infinite over E n=1 4(0.5)^n-1

yan [13]

Answer:

S = 8

Step-by-step explanation:

An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.

However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:

$\displaystyle \large{\lim_{n\to \infty} S_n = \dfrac{a_1}{1-r}}$

We can also write in summation notation rather S-term as:

$\displaystyle \large{\sum_{n=1}^\infty a_1r^{n-1} = \dfrac{a_1}{1-r}}$

Keep in mind that these only work for when |r| < 1 or else it will diverge.

Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.

$\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{1-0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = 8}$

Therefore, the sum will converge to 8.

Please let me know if you have any questions!

6 0

1 year ago

Solve −4(x + 10) − 6 = −3(x − 2). (1 point)

AURORKA [14]

Hey there!!

Given equation :

... -4 ( x + 10 ) - 6 = -3 ( x - 2 )

Using the distributive property :

... -4x - 40 - 6 = -3x + 6

Combining like terms :

... -4x - 46 = -3x + 6

Adding 46 on both sides :

... -4x = -3x + 52

Adding 3x on both sides :

... -x = 52

... x = -52

Hope helps!

8 0

2 years ago