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ra1l
15 days ago
13

Mike earns $6.50 per hour plus 4% of his sales enter an equation for mikes total earnings, e, when he works x hours and has a to

tal of y sales, in dollars.
Mathematics
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Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you k
AnnZ [12381]

Answer:

No

Step-by-step explanation:

According to the Pythagorean Inequality Theorem, the sum of the two shorter sides must exceed the length of the third side.

4+6=10  

11 is still greater than 10.

Hence, constructing such a triangle is not feasible.

3 0
1 month ago
Read 2 more answers
762,508 expanded form using exponents
Svet_ta [12734]

762,508 expressed in expanded form with exponents is:

7 \times 10^5 + 6 \times 10^4 + 2 \times 10^3 + 5 \times 10^2 +0 \times 10^1 + 8 \times 10^0

Solution:

We need to write 762,508 using expanded notation with exponents.

Expanded form indicates how to represent numbers to highlight the individual digit values.

Displaying 762508 in Expanded format

Let's determine the positional values of each digit:

The concept of place value signifies the worth assigned to each digit based on its location.

For 7, the place value is 700,000

In 762508, the digit 7 is located in the hundred-thousands position.

For 6, the place value is 60,000

In 762508, the digit 6 occupies the ten-thousands position.

For 2, the place value is 2,000

In 762508, 2 is in the thousands position.

For 5, the place value is 500

In 762508, 5 is placed in the hundreds position.

For 0, the place value is 0 x 10 = 0

In 762508, 0 is found in the tens position.

For 8, the place value is 8

In 762508, 8 is positioned in the units place.

Thus, the expanded form is:

700,000 + 60,000 + 2,000 + 500 + 0 + 8

Expressed with exponents, it can be written as:

7 \times 10^5 + 6 \times 10^4 + 2 \times 10^3 + 5 \times 10^2 +0 \times 10^1 + 8 \times 10^0

6 0
2 months ago
The random variable X, representing the number of cherries in a cherry puff, has the following probability distribution:x: 4 - 5
Leona [12618]

Answer:

Step-by-step explanation:

The probability distribution for the random variable X is provided.

X 4 5 6 7 Total

P 0.2 0.4 0.3 0.1 1

x*p 0.8 2 1.8 0.7 5.3

x^2*p 3.2 10 10.8 4.9 28.9

a) The expected value E(X), representing the mean of X, equates to 5.3.

Var(x) = 28.9-5.3^2=0.81

Standard deviation is the square root of the variance, which amounts to 0.9.

------------------------------------

b) For the mean of the sample, we find:

Mean = 5.3

Variance = var(x)/n = \frac{0.81}{{36} } \\=0.0225

c) P(\bar X

3 0
2 months ago
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