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3 years ago

The sum of two numbers is 180. If one number is 40% more than the other, find the numbers

1 answer:

3 0

Is this asking how would you find the numbers or what the actual numbers are? Because if it's asking what the actual numbers are, comment them I'll do the math on it.

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The temperature of a cooling liquid over time can be modeled by the exponential function T(x) = 60(1/2)^(x/30) + 20, where T(x)

Alexus [3.1K]

Based on the scenario, the initial temperature would be :

28 = (60) (1/2)^x/30 + 20

(60) (1/2)^0/30 + 20 = 60 + 20 =

80 C

Hope this helps

6 0

3 years ago

What is the percent of each? Please help!!

il63 [147K]

Answer:

1 Cards = 36%

2 Cards = 28%

3 Cards = 24%

4 Cards = 12.5%

Step-by-step explanation:

7 0

2 years ago

At a football game, 65% of people attending were supporting the home team, while 35% were supporting the visiting team. If 1300

Misha Larkins [42]

Answer: 2000

Step-by-step explanation:

At a football game, 65% of people that will attend are supporting the home team, while 35% are supporting the visiting team. 1300 people that attended supported the home team.

To get the total number of people that attended the game, we have to find the number of away supporters as well.

Let the number of people that attended the game be y.

Therefore 65% of y = 1300

65/100 × y = 1300

0.65 × y = 1300

0.65y = 1300

Divide both side by 0.65

0.65y/0.65 = 1300/0.65

y = 2000

The total number of people attending the game is 2000.

8 0

3 years ago

What is the image of (3,−5) after a reflection over the x-axis?

mihalych1998 [28]

I think it’s gonna be (3,5)

8 0

2 years ago

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

Mean of above data, Xbar = $\frac{3+ 5+10}{3}$ = 6

Standard Deviation of data = $\sqrt{\frac{26}{3-1} }$ = 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

Mean of new data, Xbar = $\frac{6+ 10+20}{3}$ = 12

Standard Deviation of new data = $\sqrt{\frac{104}{3-1} }$ = 7.2111

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

3.6055 * 2 = 7.2111

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

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.

8 0

3 years ago