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3 years ago

Rudy is training for a race. On Monday he ran 2

1 answer:

7 0

Distance ran by Rudy on Monday = 2 km
Percentage of increase in distance of running each day = 15%
Let us assume that the day on which Rudy will run 4 km = x
Then
2 + 0.15x = 4
0.15x = 2
x = 2/0.15
= 13.3
From the above deduction we can conclude that Rudy will run more than 4 km on the 14th day or on Sunday. I hope the procedure is clear enough for you to understand.

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3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10

wariber [46]

Answer:

The expected value of lateness $\frac{7}{20}$ hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

Lateness P (Lateness)

On Time 4/5

1 Hour Late 1/10

2 Hours Late 1/20

3 Hours Late 1/20

The formula of expected value of a random variable is:

$E(X)=\sum x\cdot P(X=x)$

Compute the expected value of lateness as follows:

$E(X)=\sum x\cdot P(X=x)$

$=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}$

Thus, the expected value of lateness $\frac{7}{20}$ hours.

8 0

3 years ago

A metal measuring tape expands when the temperature goes above 50°F. For every

den301095 [7]

Answer:

The answer is 0.0096

Step-by-step explanation:

which is 0.00032 multiplyed by 30

4 0

2 years ago

PLEASE HELP AND EXPLAIN HOW TO FIND A BENCHMARK BETWEEN TWO NUMBERS!

oee [108]

Answer:

Step-by-step explanation:

A benchmark is a halfway point between two set points. Typically, the best way to find a benchmark is to make a number line with both of the points that you need to find the benchmark between, then you basically just find the halfway mark.

I hope this helps. If you need a further explanation let me know :)

5 0

2 years ago

A grocery wants to make two kinds of coffee. One consoles for $1.40 pound, and the other cells for $2.95 a pound. He wants to ma

steposvetlana [31]

Step-by-step explanation:

a lot of typos in the problem description.

I assume the price of the mix is 1:1 related to the prices of the individual types of coffee.

so, from what I understood we can define

x = pounds of the first type of coffee.

y = pounds of the second type of coffee.

x + y = 21 pounds

1.4x + 2.95y = 2.6(x + y) = 2.6×21 = $54.60

in the second equation we have to bring the given "$2.60 per pound" to the total price, which is $2.60 times the total amount of pounds (which is 21).

from the first equation we get

x = 21 - y

and that we use in the second equation

1.4×(21 - y) + 2.95y = 54.6

29.4 - 1.4y + 2.95y = 54.6

1.55y = 25.2

y = 25.2 / 1.55 = 16.25806452... ≈ 16.26 pounds

x = 21 - y = 4.741935484... ≈ 4.74 pounds

so, he should mix 4.74 pounds of the first (cheaper) type and 16.26 pounds of the second (expensive) type.

6 0

2 years ago

Determine the line of symmetry for

Vikentia [17]

Is there supposed to be a picture in a little bit confused, or are u wanting the definition?

3 0

4 years ago