1. What decimal is equivalent to 23/100? plz explain :)

Which of the following points lies in the solution set of the inequality y > 3x +10?

shepuryov [24]

Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct

In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if <u>y is greater than the result.</u>

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For the coordinate point (1, 10)

y > 3(1) +10

y > 13

Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.

For the coordinate point (4, 20)

y > 3(4) +10

y > 22

Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.

For the coordinate point (-1, 3)

y > 3(-1) +10

y > -7

Since 3 is greater than -3, hence (-1, 3) lie in the solution set.

Learn more on inequality here: brainly.com/question/24372553

7 0

2 years ago

The formula s= SA/6 squared gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a

stiv31 [10]

The surface area (SA) of a cube can be written as:

SA = 6s²

From here we can write, the length of the side s as:

$s= \sqrt{ \frac{SA}{6} }$

For cube with surface area of 1200 square inches, the side length will be:

$s= \sqrt{ \frac{1200}{6} }=10 \sqrt{2}$ inches

For cube with surface area 768 square inches, the side length will be:

$s= \sqrt{ \frac{768}{6} }=8 \sqrt{2}$ inches

The difference in side lengths of two cubes will be:

$10 \sqrt{2} -8 \sqrt{2}=2 \sqrt{2}$

Rounding to nearest tenth of an integer, the difference between the side lengths of two cubes will be 2.8 inches.

7 0

3 years ago

Read 2 more answers

At a book sale,your sister uses an equal number of quarters and nickels to buy a $1.20 book. How many quarters and how many nick

REY [17]

Answer:4 quarters and 4 nickels

Step-by-step explanation:

6 0

2 years ago

7. Write the equation of the line that is perpendicular to y = -5x + 1 and passes through the point (2,-1). slope intercept equa

Svetach [21]

Answer:

y = 1/5x - 7/5

Step-by-step explanation:

y = 1/5x + b

-1 = 1/5(2) + b

-1 = 2/5 + b

-7/5 = b

4 0

2 years ago

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S

ziro4ka [17]

Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So $n = 421, \pi = \frac{75}{421} = 0.178$

85% confidence level

So $\alpha = 0.15$ , z is the value of Z that has a pvalue of $1 - \frac{0.15}{2} = 0.925$ , so $Z = 1.44$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.151$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205$

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

8 0

2 years ago