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Delicious77 [7]
3 years ago
6

Which set of integers is ordered from least to greatest -13 , 4, 0, -8 -5 , -2, 3, 1 -12 , -18 , -4 , 7 -15, 6 , -9 , -21

Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0

Given:

The set of integers in the options.

-13 , 4, 0, -8

-5 , -2, 3, 1

-12 -18 , -4 , 7

-15, 6 , -9 , -21

To find:

The set of integers that is ordered from least to greatest.

Solution:

We know that the larger negative value is the smaller value and the larger positive value is the greater value.

Ordered from least to greatest means first we need to write the smallest value, write the value larger than and the greatest value occurs at the end.

In option A, we have -13 , 4, 0, -8. Here, 4>0. So, the option A is incorrect.

In option B, we have -5 , -2, 3, 1. Here, 3>1. So, the option B is incorrect.

In option C, we have -12 -18 , -4 , 7 Here, -12>-18. So, the option C is incorrect.

In option D, we have -15, 6 , -9 , -21. Here, 6>-9. So, the option D is incorrect.

Therefore, all the options are incorrect.

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Lorico [155]

Answer:

The answer to your question is $1.29

Step-by-step explanation:

Data

Total amount of cupcakes = 50

Total amount of sugar = 3 1/2 cups = 3.5 cups

Cost of 5-pound bag = $3.69

2 cups = 1 pound

Total cost = ?

Process

1.- Calculate the amount of pounds needed

                  2 cups ------------------ 1 pound

                  3.5 cups ---------------  x

                  x = (3.5 x 1) / 2

                  x = 3.5 / 2

                  x = 1.75 pounds

2.- Calculate the price of 1.75 pounds

                  5 pounds -------------- $3.69

                  1.75 pounds ----------    x

                  x = (1.75 x 3.69)/5

                  x = 6.46/5

                 x = $1.29

3.- Conclusion

The cost of sugar to prepare 50 cupcakes is $1.29

3 0
3 years ago
A survey of 200 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take
Lina20 [59]

Answer:

The 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion <em>P</em> is:

CI=p\pm z_{\alpha/2}\sqrt{\frac{p(1- p)}{n}}

The information provided is:

<em>x</em> = number of students who responded as"yes" = 70

<em>n</em> = sample size = 200

Confidence level = 95%

The formula to compute the sample proportion is:

p=\frac{x}{n}

The R codes for the construction of the 95% confidence interval is:

> x=70

> n=200

> p=x/n

> p

[1] 0.35

> s=sqrt((p*(1-p))/n)

> s

[1] 0.03372684

> E=qnorm(0.975)*s

> lower=p-E

> upper=p+E

> lower

[1] 0.2838966

> upper

[1] 0.4161034

Thus, the 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).

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3 years ago
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Answer:

x ≈ 2879.4 m

Step-by-step explanation:

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Measure of ∠DAB = 90°

Measure of ∠BAC = 90° - 10° = 80°

By applying cosine rule in ΔABC,

cos(80°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

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Answer:

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Step-by-step explanation:

This is a simultaneous equation. To solve this type of equation, there are three methods; substitution, Elimination and Graphical.

But here, we would be using the substitution method.

3x-y=9 Equation 1

2x-y=7. Equation 2

Getting y from equation 2, we have

-y= 7-2x

Multiply both sides by -

y= 2x-7 Equation 3

Substituting y for 2x-7 in equation 1, we have

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3x-2x+7=9

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Substituting x as 2 in equation 3

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