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2 years ago

Name the constant of proportionality for the equation below: y = -2/3 x

Mathematics

1 answer:

worty [1.4K]2 years ago

8 0

Answer:

$-\dfrac{2}{3}$

Step-by-step explanation:

When variable y is said to be proportional to another variable x, it is written as:

$y \propto x$

To introduce the equality sign, we introduce what is called the constant of proportionality, say k and write the above as:

y=kx

Comparing the given equation:

$y=-\frac{2}{3}x$

We can see that our constant of proportionality:

$k=-\dfrac{2}{3}$

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Based on data from a statistical abstract, only about 16% of senior citizens (65 years old or older) get the flu each year. Howe

SSSSS [86.1K]

Answer: The required probability is 2.24%.

Step-by-step explanation:

Since we have given that

Percentage of people are senior citizens ( 65 years old or older ) = 14%

Percentage of people are under 65 years old = 100-14 = 86%

Probability that senior citizens get the flu each year = 16%

Probability that under 65 years old get the flu each year = 30%

So, Probability that a person selected at random from the general population is senior citizen who get the flu this season is given by

$P(S\cap F)={P(F|S)\times P(S)\\\\P(S\cap F)=0.16\times 0.14\\\\P(S\cap F)=0.0224\\\\P(S\cap F)=2.24\%$ Hence, the required probability is 2.24%.

3 0

2 years ago

Read 2 more answers

If the first 4 terms of a geometric sequence are {7, 21, 63, 189), then the formula for the nth term in the sequence is?

34kurt

Answer: 7 × ( 3^n - 1 )

Step-by-step explanation:

This is a geometric progression which has its nth term to be

Tn = ar^n- 1. Now from the question given, the sequence are 7, 21, 63, 189. This is an example of a finite sequence, To find the common ratio, you divide the second term by the first term. So

r = 21/7

= 3. , a = 7

Now to find the nth term put the values in the formula above.

Tn =ar^n-1

= 7(3)^n - 1)

= 7 × ( 3^n - 1 ).

Note, it is not 21^n - 1.

7 0

2 years ago

What is the common mutiple for 1/2 1/4 1/6 1/3 and 1/5

grin007 [14]

The common multiple for 1/2 1/4 1/6 1/3 and 1/5 would be 60:

2 x 30 = 60
3 x 20 = 60
4 x 15 = 60
5 x 12 = 60
6 x 10 = 60

5 0

2 years ago

Acellus

lukranit [14]

Answer:

d = 14

Step-by-step explanation:

$\sin \: 45 \degree = \frac{a}{7 \sqrt{2} } \\ \\a = 7 \sqrt{2} \sin \: 45 \degree \\ \\ a = 7\sqrt{2} \times \frac{1}{ \sqrt{2} } \\ \\ a = 7 \\ \\ \sin \: 30 \degree = \frac{a}{d} \\ \\ \frac{1}{2} = \frac{7}{d} \\ \\ d = 2 \times 7 \\ \\ d = 14$

8 0

2 years ago

The arena at the Berry Center holds 9,500 people. During one of the graduation ceremonies, 95% of the seats were occupied. How m

motikmotik

Answer:

9,025

Step-by-step explanation:

9,500 multiplied by 0.95

3 0

2 years ago