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son4ous [18]
3 years ago
12

Jackie, Maria, and Nadia all live on the same straight road. Jackie marks the location of Maria's home and the location of Nadia

's home on a number line, using her own home's location as 0.
She marks Maria's home at −10.7 and Nadia's home at 4.9.

What is the distance between Maria's home and Nadia's home on Jackie's number line?

Enter your answer as a decimal in the box.
Mathematics
1 answer:
12345 [234]3 years ago
5 0

Answer:

15.6

Step-by-step explanation:

10.7+4.9=15.6

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3 years ago
The length of two sides of triangle are 4cm and 5cm. Between what two
Elanso [62]

Answer:

1 and 9

Step-by-step explanation:

By the Triangle Inequality Theorem, the sum of two side lengths of a triangle is always greater than the length of the third side.

In other words, in a triangle with side lengths a, b, and c, we always have a+b > c.

Applying this to this question, the other side length, x, must satisfy the following inequalities:

4+5 > x,\\x+5 > 4,\\x+4 > 5.

Solving these inequalities gives

x < 9,\\x > -1,\\x > 1.

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3 years ago
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For an outdoor concert by the city orchestra, concert organizers estimate that 10,000 people will attend if it's not raining. If
Vlada [557]

Answer:

The number of expected people at the concert is 8,500 people

Step-by-step explanation:

In this question, we are asked to determine the expected number of people that will attend a concert if we are given the probabilities that it will rain and it will not rain.

We proceed as follows;

The probability that it will rain is 30% or 0:3

The probability that it will not rain would be 1 -0.3 = 0.7

Now, we proceed to calculate the number of people that will attend by multiplying the probabilities by the expected number of people when it rains and when it does not rain.

Mathematically this is;

Number of expected guests = (probability of not raining * number of expected guests when it does not rain) + (probability of raining * number of expected guests when it rains)

Let’s plug values;

Number of expected guests = (0.3 * 5,000) + (0.7 * 10,000) = 1,500 + 7,000 = 8,500 people

4 0
3 years ago
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