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3 years ago

According to the graph what is the value of the constant in the equation below

Mathematics

1 answer:

Trava [24]3 years ago

5 0

Take the point (10,5)
5 = constant / 10

constant = 5*10 = 50

also for the point (4 , 12.5) constant = 4*12.5 = 50

Answer is 50

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Consider the set T = {1, 2, 3, 4, 5, 6}. Let R = {(a, b) | a divides b} be a relation on the set T. Identify the missing ordered

serg [7]

Answer: The missing ordered pairs are (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

Step-by-step explanation: We are given the following set :

T = {1, 2, 3, 4, 5, 6}.

And, R = {(a, b) | a divides b} be a relation on the set T.

We are to identify the missing pairs from the following list of all ordered pairs in the given relation R on the set T :

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), _____, (4, 4), (5, 5), and (6, 6).}.

Since R contains the ordered pairs (a, b) such that a divides b, so all the ordered pairs in R are

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (5, 5), and (6, 6).

Thus, the missing ordered pairs are (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

4 0

3 years ago

3/4 x 3 2/5 - 5/5(find the value of each of the following)

Triss [41]

The value of the given expression is $\frac{-13}{20}.$

Solution:

Given expression is $\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}$ .

Let us first convert mixed fraction into improper fraction.

$3\frac{2}{5}=\frac{(3\times5)+2}{5}=\frac{17}{5}$

Substitute this in the given expression.

$\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}=\frac{3}{4} \times\frac{7}{15}-\frac{5}{5}$

$=\frac{21}{60}-\frac{5}{5}$

To simplify the above expression, 21 and 60 are cancelled by 3.

$=\frac{7}{20}-\frac{1}{1}$

Do cross multiplication to make the denominator same.

$=\frac{7}{20}-\frac{20}{20}$

$=\frac{7-20}{20}$

$=\frac{-13}{20}$

The value of the given expression is $\frac{-13}{20}.$

7 0

3 years ago

Which explicit formula describes the sequence -9,-3,3,9,15...?

dalvyx [7]

Answer:

the answer for your question is b

7 0

3 years ago

The square root of 8?

Hoochie [10]

Answer:

√8 8n sure form= √ 4 ×√2

= 2×√2

= 2√2

8 0

3 years ago

What is the probability that two randomly chosen players completed the walk in 2.9 hours or more? Show your work.

Musya8 [376]

Answer:

8.08%

Step-by-step explanation:

Suppose several high schools in a city are sponsoring a walk-athon to raise money for a local charity. A certain route is mapped out through the city and each participant finds sponsors to donate money for the walk. If a participant completes the walk under a certain time, extra money will be donated. You are responsible for recording the finishing times for each of the participants. After collecting all of the data, you determine that the finishing times are normally distributed with a mean of 2.6 hours and a standard deviation of 0.3 hour.

Answer:

Given that:

Mean (μ) = 2.6 hours and standard deviation (σ) = 0.3 hour, n = 2

The z score is used in statistics to determine the amount of standard deviation by which the raw score is above or below the mean. It is given by the equation:

$z=\frac{x-\mu}{\sigma}$ , where x is the raw score.

If the sample size (n) is taken then the z score is given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }$

Therefore for this problem the z score is:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }=\frac{2.9-2.6}{\frac{0.3}{\sqrt{2} } }=1.41$

From the normal distribution table, probability that two randomly chosen players completed the walk in 2.9 hours or more = P(x > 2.9) = P(z > 1.41) = 1 - P(z < 1.41) = 1 - 0.9192 = 0.0808 = 8.08%

5 0

3 years ago