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3 years ago

What is the constant of proportionality?

Mathematics

1 answer:

Damm [24]3 years ago

4 0

Answer: B) 18

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Explanation:

x = number of packs of yogurt (column 1)

y = number of ounces of yogurt (column 2)

To get the constant of proportionality k, we divide y over x

k = y/x

k = 36/2 = 18 .... from row 1

k = 54/3 = 18 ... from row 2

k = 90/5 = 18 .... from row 3

This k = 18 value means that each time x goes up by 1, the value of y goes up by 18. This is the slope of the line y = 18x, so it represents the rate of change.

Put another way: 1 pack of yogurt is 18 ounces

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n=400 people under the age of 25 was asked whether they check social media sites right after they wake up. 42% check social medi

Aliun [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.5

For the alternative hypothesis,

p < 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

P = 42/100 = 0.42

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

n = 400

z = (0.42 - 0.5)/√(0.5 × 0.5)/400 = - 3.2

Recall, population proportion, p = 0.5

We want the area to the left of 0.5 since the alternative hypothesis is lesser than 0.5. Therefore, from the normal distribution table, the probability of getting a proportion < 0.5 is 0.00069

So p value = 0.00069

Since alpha, 0.05 > than the p value, 0.00069, then we would reject the null hypothesis.

Therefore, there is significant evidence to conclude that that less than 50% of people under the age of 25 check social media sites right after they wake up.

7 0

3 years ago

Find the missing dimension:if the perimeter is 6yards and the length is 6ft .what is the width?in yards

larisa [96]

Since you haven't identified this figure, I'm going to assume that it's a rectangle.

The Perimeter of a rectangle of length L and width W is P = 2L + 2W.

Here you are given the Perimeter and the length, and are to find the width, W.

Solving the above equation for W, we get P - 2L = 2W.
Dividing by 2 (to isolate that W), we get

P
-- - L = W
2

Substitute P= 6 yds and L = 6 feet (or 2 yds), find W (in yards).

8 0

3 years ago

you roll two dice what is the probability that the sum of the dice is less than 5 and one dice shows a 2? ...?

astraxan [27]

<span>Lets say the 1st die rolled a 2 - there would be 2 combinations for which the sum of dice being < 5 : 2,1 2,2 Now say the 2nd die rolled a 2 - there would be 2 combinations for which the sum of dice being < 5 : 1,2 2,2 Now we want to count all cases where either dice showed a 2 and sum of the dice was < 5. However note above that the roll (2,2) is counted twice. So there are three unique dice roll combinations which answer the criteria of at least one die showing 2, and sum of dice < 5: 1,2 2,1 2,2 The total number of unique outcomes for two dice is 6*6=36 . So, the probability you are looking for is 3/36 = 1/12</span>

3 0

3 years ago

2+2 pls help quick or ill fail sike awnser 7/3x = 2/3

kompoz [17]

Answer:

21/3 i think

Step-by-step explanation:

7 0

3 years ago

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Solve and express your answer in both scientific and standard notation.

swat32