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3 years ago

which equation represents a proportional relationship that has a constant of proportionality equal to 1/5

Mathematics

2 answers:

Serjik [45]3 years ago

6 0

Answer: Hello, a proportional relationship is a relationship where a quantity is proportional to other.

This means that, for example, if the number Y is proportional to the number X, means that the number Y is k times the number X, where k is the constant of proportionality.

This is represented in the next way: Y= k*X

then, if k = 1/5, our relationship is : Y = (1/5)*X.

liraira [26]3 years ago

4 0

Answer:

y = 1/5 x

Step-by-step explanation:

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Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50

DENIUS [597]

Answer:

The inequality required to express the above condition is x ≥ 18.75

Step-by-step explanation:

Renata and her family go through an average of more than 15 cans of sparkling water each day.

The number of cases of 24 cans of sparkling water.

We can take the number of cases to be x.

Each case is said to cost $3.50.

An inequality for the number of cases that Renata's family go through in 24 days can be written as

x ≥ $\frac{15 \times 30}{24}$ ⇒ x ≥ $\frac{450}{24}$ ⇒ x ≥ 18.75

Therefore the inequality required to express the above condition is

x ≥ 18.75

3 0

3 years ago

Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the numb

kipiarov [429]

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

3 0

2 years ago

A student union cafeteria worker checked the weight of ten half-pound bags of whole bean coffee and recorded the following weigh

Likurg_2 [28]

Answer: σ = 0.0154

Step-by-step explanation:

1. Calculate the mean for the recorded data.

(0.48 + 0.51 + 0.47 + 0.49 + 0.49 + 0.50 + 0.52 + 0.48 + 0.49 + 0.51)/10 =

4.94 / 10 = 0.49

The mean is represented with the greek letter μ, so μ = 0.49

2. For each element in the serie, subtract the mean (0.49) and square the result

(0.48 - 0.49)^2 = (-0.01)^2 = 0.0001

(0.51 - 0.49)^2 = (0.02)^2 = 0.0004

(0.47 - 0.49)^2 = (-0.02)^2 = 0.0004

(0.49 - 0.49)^2 = 0

(0.50 - 0.49)^2 = (0.01)^2 = 0.0001

(0.52 - 0.49)^2 = (0.03)^2 = 0.0009

(0.48 - 0.49)^2 = (-0.01)^2 = 0.0001

(0.49 - 0.49)^2 = 0

(0.51 - 0.49)^2 = (0.02)^2 = 0.0004

So we get these results: 0.0001, 0.0004, 0.0004, 0, 0, 0.0001, 0.0009, 0.0001, 0, 0.0004

3. Now, we calculate the mean of these squared differences

(0.0001 + 0.0004 + 0.0004 + 0 + 0 + 0.0001 + 0.0009 + 0.0001 + 0 + 0.0004) / 10 =

(0.0024) / 10 = 0.00024

4. Now to get the standard deviation, we need to get the root of this last value (0.00024).

√(0.00024) = 0.0154

5. So that will be our standard deviation value:

σ = 0.0154

DONE!

7 0

3 years ago

What is the square root of a football

anzhelika [568]

Answer:

4.583 short side and 5.291502622129181 long side

Step-by-step explanation:

did this help

4 0

3 years ago

It wont let me post a picture of the angles but they are verticle angles and the equations are (3x+8), (5x-40) and it says find

____ [38]

Vertical angles are equal

5x - 40 = 3x + 8
5x - 3x = 8 + 40
2x = 48
x = 48/2
x = 24

m∠ABC = 3x + 8 = 3 * 24 + 8 = 80°

(or m∠ABC = 5x - 40 = 5 * 24 - 40 = 80°)

8 0

3 years ago