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neonofarm [45]
3 years ago
9

What is 0.459 rounded to the nearest tenth

Mathematics
1 answer:
nevsk [136]3 years ago
4 0

Answer:

0.5

Step-by-step explanation:

ones .  tenths   hundredths   thousandths

0       .    4           5                      9

We are rounding the 4  so we look at the next digit, which is a 5

Since it is 5 or above, we round the 4 up

0.5

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Brent claims that more students at his school prefer hot dogs over hamburgers. His friend Shaun doesn’t agree. To settle their a
photoshop1234 [79]

Answer:

  • Using conditional probabilities it can be shown that  the results are influenced by the gender.

Explanation:

To prove that the results are influenced by <em>gender</em> you can calculate both the probability of preferring hot dogs and the conditional probability of preferring a hot dog given that is a female.

If the two results are different the probability of preferring hot dog is dependent on whether the person is a female or a male.

The probability of preferring hot dogs given that is a female is stated by the problem: 34.2%.

The probability of preferring hot dogs by the whole sample is:

  • Number of males that prefer hot dogs: 184 (stated by the problem)
  • Number of females that prefer hot dogs:

         100% - 34.2% = 65.8%

         65.8% of 635 = 0.658 × 635 = 417.83 ≈ 418

  • Samples size: 542 males + 635 females = 1177

  • Probability of preferring hot dogs =

              number of students that preffer hot dogs / number of students =

              (184 + 418) / 1177 = 602 / 1177 = 0.5115 ≈ 51.2%

Thus, the probability of preferring hot dogs given that the student is a female (34.2%) is different from the probability of preferring hot dog for the whole sample, making the results dependent of the gender.

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4 years ago
ΔABC has vertices A(0,10), B(4,10), and C(-2,4).
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A simple diagram will show you the intersection of altitudes is in the 2nd quadrant. It must have x-coordinate -2, as the altitude to the "base" y=10 must be the vertical line through (-2, 4).

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