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Neporo4naja [7]
2 years ago
8

In a poll to pick the name of a new planet discovered in a distant solar system, a total of 963 scientists voted. There were fou

r names to pick from. The winning name exceeded the other names by 53, 79, and 105 votes, respectively. How many scientists voted for the name which came fourth in the poll?​
Mathematics
1 answer:
jarptica [38.1K]2 years ago
3 0

Answer:

195

Step-by-step explanation:

Let wining name have, x votes

1st = x

2nd = x - 53

3rd = x - 79

4th = x - 105

x + (x - 53) + (x - 79) + (x - 105) = 963

x + x - 53 + x - 79 + x - 105 = 963

4x - 237 = 963

4x = 963 + 237

4x = 1200

x = 1200 / 4

x = 300

4th = x - 105

x - 105 = 300 - 105 = 195

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¡creo que la respuesta sería .3!
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53 pts! which of the following is equal to g(x)?
ziro4ka [17]

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B is the correct answer, as x - 2 in the exponent would move the graph to the right 2.

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If the triangles are congruent, then X=?
steposvetlana [31]

Answer:

Hi there!

The correct answer to this question is: x=3

Step-by-step explanation:

because these two triangles are similar, that means the hypotenuse are similar. which means you can set the sides equal to each other like this:

13 = 4x + 1   minus one on both sides and you should get 4x = 12 and then divide 4 on both sides and you should finally get x = 3

7 0
3 years ago
Show all work:
DerKrebs [107]

Answer:

m=-3

Step-by-step explanation:

m - 7 = -10

Ok so,

in order to get m by itself you just need to do the opposite of -7 which is +7 so you have to add 7 to both sides. On the left, both of the 7's cancel out and on the right -10 + 7 = -3. So, now it should look like this.

m=-3

To check you just need to plug in -3 into the question

Hope this helps! Have a good day

4 0
2 years ago
Heights of men have a bell-shaped distribution, with a mean of 176 cm and a standard deviation of 7 cm. Using the Empirical Rule
Vaselesa [24]

Answer:

a) 68% of the men fall between 169 cm and 183 cm of height.

b) 95% of the men will fall between 162 cm and 190 cm.

c) It is unusual for a man to be more than 197 cm tall.

Step-by-step explanation:

The 68-95-99.5 empirical rule can be used to solve this problem.

This values correspond to the percentage of data that falls within in a band around the mean with two, four and six standard deviations of width.

<em>a) What is the approximate percentage of men between 169 and 183 cm? </em>

To calculate this in an empirical way, we compare the values of this interval with the mean and the standard deviation and can be seen that this interval is one-standard deviation around the mean:

\mu-\sigma=176-7=169\\\mu+\sigma=176+7=183

Empirically, for bell-shaped distributions and approximately normal, it can be said that 68% of the men fall between 169 cm and 183 cm of height.

<em>b) Between which 2 heights would 95% of men fall?</em>

This corresponds to ±2 standard deviations off the mean.

\mu-2\sigma=176-2*7=162\\\\\mu+2\sigma=176+2*7=190

95% of the men will fall between 162 cm and 190 cm.

<em>c) Is it unusual for a man to be more than 197 cm tall?</em>

The number of standard deviations of distance from the mean is

n=(197-176)/7=3

The percentage that lies outside 3 sigmas is 0.5%, so only 0.25% is expected to be 197 cm.

It can be said that is unusual for a man to be more than 197 cm tall.

3 0
3 years ago
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