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Dvinal [7]
3 years ago
8

Glenda and Penny are doing

Mathematics
1 answer:
Volgvan3 years ago
4 0

Answer:

It depends on how many inches they are from the finish line.

Step-by-step explanation:

However, they will be at the same distance at 90 inches when Glenda hops 5 times. 18 x 5 = 90. Penny will also make it to 90 inches when she hops 6 times. 15 x 6 = 90. Then, you will subtract 90 inches from how long the race is in inches.

Hope this helps!

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An instructor in a college class recently gave an exam that was worth a total of 100 points. The instructor inadvertently made t
solniwko [45]

Answer:

B) Method 2 will increase the standard deviation of the students' scores.

Step-by-step explanation:

Given that an instructor in a college class recently gave an exam that was worth a total of 100 points.

The average score for his students was 43 and the standard deviation of the scores was 5 points.

And now he is considering two different strategies for rescaling the exam results of which:

Method 1 = Add 17 points to everyone's score.

Method 2 = Multiply everyone's score by 1.7 .

And we have to check what will be the impact of these methods on the standard deviation of the students' scores.

For this let us consider a simple example to understand this:

Firstly, Formula for calculating Standard Deviation =  \sqrt{\frac{\sum (X-Xbar)^{2}}{n-1}}

Suppose,

     X             X - Xbar       (X - Xbar)^{2}

     3              3 - 6 = -3         -3 * -3 = 9

     5              5 - 6 = -1          -1 * -1 = 1

     10            10 - 6 = 4          4 * 4 = 16

<em>Mean of above data, Xbar</em> = \frac{3+ 5+10}{3} = 6

<em>Standard Deviation of data </em>= \sqrt{\frac{26}{3-1} } = 3.6055

Now let us suppose that we multiply each value of above data with 2 so the new data will be:

     X                X - Xbar           (X - Xbar)^{2}

 3*2 = 6        6 - 12 = -6         -6 * -6 = 36

 5*2 = 10       10 - 12 = -2       -2 * -2 = 4

10*2 =20      20 - 12 = 8         8 * 8 = 64

<em>Mean of new data, Xbar </em>= \frac{6+ 10+20}{3} = 12

<em>Standard Deviation of new data</em> = \sqrt{\frac{104}{3-1} } = 7.2111

<em>Hence, we see that when we multiply any value to the data the standard deviation will increase and in other words it will multiplied by that value which value we multiplied with each data value i.e. when we multiply each data value with 2 the standard deviation also get multiplied by as </em>

  3.6055 * 2 = 7.2111

Therefore option B is correct that Method 2 will increase the standard deviation of the students' scores.

<em>And on the other hand Similarly by adding any constant to the data the Standard Deviation will remain same. Therefore Method 1 will have no impact on standard deviation of the students' scores.</em>

8 0
3 years ago
I’ll give brainliest to whoever can do this
tino4ka555 [31]

i forgot hiw to do that

Step-by-step explanation:

8 0
3 years ago
If a triangle is 4 feet on one side, 6 feet on another side, what is the measurement of the third side?
tino4ka555 [31]
It depends on what type of Triangle or what the volume or area is. This question is missing information.
7 0
3 years ago
WILL AWARD BRAINLIEST
stepan [7]

Answer:

1. a. 3xy²(7x²y³ + 5x - 4y)

2. a. (3x + 2)(5x + y)

3. d. (2a + b)(5x - 4)

Step-by-step explanation:

For #1, your answer was missing an exponent, which I boldfaced. Every term has a <em>y</em><em>²</em><em> </em>in common. Then, in numbers 2 and 3, just factor each group one at a time.

Ex: [10ax + 5bx] - [8ay - 4by]

4 0
2 years ago
Explain the difference between a whole number and an integer.
lesantik [10]

Answer:

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers.

Step-by-step explanation:

8 0
2 years ago
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