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3 years ago

15

Which inequality's graph will have a solid boundary line?

1 answer:

sukhopar [10]3 years ago

8 0

Answer:

D

x − y ≤ 5

Step-by-step explanation:

When drawing lines for inequalities in a graph, all lines whose equation have the greater than or less than signs are dotted hence they can't be solid boundary lines. Otherwise, all other equations with equal sign, less than or equal and greater than or equal are represented by a solid boundary line. In this case, the only equation that qualifies for a solid boundary line is x − y ≤ 5 since the other equations have either less than or greater than signs

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Solve for w 14= -7/8w , show your work

cestrela7 [59]

Answer:

Step-by-step explanation:

14 = -7w/8

Cross multiply

-7w = 14 × 8

-7w = 112

w = 112/-7

w = -16

3 0

3 years ago

There are 9,481 eligible voters in a precinct. 500 were selected at random and asked to indicate whether they planned to vote fo

maria [59]

Answer:

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

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 $1 - \frac{\alpha}{2}$ .

Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.

This means that $n = 500, \pi = \frac{350}{500} = 0.75$

80% confidence level

So $\alpha = 0.2$ , z is the value of Z that has a pvalue of $1 - \frac{0.2}{2} = 0.9$ , so $Z = 1.28$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.725$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.775$

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

8 0

3 years ago

If y varies directly with x and y=2 when x=15. Find x when y=8.

andreyandreev [35.5K]

Since the two numbers vary directly, if Y is quadrupled, X will do the same. 2 times 4 is 8, 15 times 4 is 60.

X = 60.

Hope that helps!! :)

8 0

3 years ago

Read 2 more answers

4(2x − 7)2 if x = 5...........................

siniylev [52]

Answer:

Answer should be 24.......

3 0

2 years ago

Read 2 more answers

The solution set for <br> 6a^2-a-5=0

Alex_Xolod [135]

Answer:

a=1 or a=5/6

Step-by-step explanation:

I'm going to attempt to factor 6a^2-a-5

a=6

b=-1

c=-5

Find two numbers that multiply to be a*c and add to be b.

a*c=-30 =-6(5)

b=-1 =-6+5

So replace -a with -6a+5a in the expression we started with

6a^2-6a+5a-5

now we factor by grouping

6a(a-1)+5(a-1)

(a-1)(6a-5)

Now let's solve the equation:

(a-1)(6a-5)=0

So a=1 or a=5/6

4 0

3 years ago