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Archy [21]
3 years ago
15

Which equation represents a direct variation?

Mathematics
1 answer:
8090 [49]3 years ago
4 0

Answer:

Y = x y = kx. When the equation that describes direct variance is graphed in the Cartesian Plane, there is always a straight line moving through the origin. Think of it as the Slope-Intercept Shape of a line written as y = mx + b y = mx + b.

Step-by-step explanation:

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Does the communicative property work for subtraction and division
snow_tiger [21]
Nope because <span>Addition and multiplication are both </span>commutative<span>. </span>Subtraction<span>, </span>division<span>, and composition of functions are not</span>
4 0
3 years ago
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates of
stich3 [128]

Answer:

$9.86

Step-by-step explanation:

First, write both numbers in the same form. Convert 8

1

2

to a decimal.

8

1

2

= 8+

1

2

= 8+

1×5

2×5

= 8+

5

10

= 8+0.5

= 8.5

Multiply.

11.6

× 8.5

580

+ 9280

98.60

Kendra earned $98.60 last week.

Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates  

1

10

of her earnings each week.

First, write both numbers in the same form. Convert  

1

10

to a decimal.

1

10

=0.1

Multiply.

98.6

× 0.1

9.86

Kendra donated $9.86 to the charity last week.

7 0
3 years ago
What are compatible numbers?
posledela
Numbers that are close in value to the actual numbers.
4 0
2 years ago
Read 2 more answers
If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul
Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

3 failures every twenty weeks

This means that for 1 week, \mu = \frac{3}{20} = 0.15

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

P(X \leq 1) = P(X = 0) + P(X = 1)

Then

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607

P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0
2 years ago
In the figure below, what is the value of x
kykrilka [37]

Answer:

<em>x = 49°</em>

Step-by-step explanation:

<u>Angles in a Triangle</u>

The sum of the internal angles in any triangle adds up to 180°.

The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.

The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:

43° + 39° + 2x = 180°

Operating:

82° + 2x = 180°

Subtracting 82°:

2x = 180° - 82° = 98°

x = 98°/2 = 49°

x = 49°

3 0
2 years ago
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