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Anuta_ua [19.1K]
2 years ago
6

Which of the following are the correct properties of slope?

Mathematics
1 answer:
Korvikt [17]2 years ago
5 0

A. Some lines have no slope. TRUE. Vertical lines have no defined slope.

B. The slope of a line is always positive. FALSE. Slopes can be negative, zero or positive.

C. The slope of a line that moves up from left to right is positive. TRUE. Example: y = 2x + 5 has a graph that moves UP as x increases.

D. If two lines have the same slope, then they are the same line. FALSE. While this is possible, it does not consider the important case where two lines have the same slope but different vertical intercepts.

E. A steep line has negative slope. FALSE. Negative slope has little or nothing to do with the "steepness" of the line.

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The school soccer team buys 3 soccer balls for every 2 players. The school volleyball team buys 7 volleyballs for every 5 player
SSSSS [86.1K]
Soccer buys more; divide each

Soccer- 3/2= 1.5
Volleyball- 7/5=1.4

Soccer buys more balls per player
6 0
2 years ago
3. Triangle JKL is shown below. Which of the following is not a true statement about
alina1380 [7]

Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.

We can solve for x for the other 3 options by setting up this equation:

7x+2 + 4x+7 + 8x = 180 | Simplify

19x + 9 = 180 | Subtract 9

19x = 171 | Divide by 19
x=9

Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72


Looking at the options again, we can see that A, B, and D are true, leaving C to be false.

4 0
2 years ago
A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If
musickatia [10]

Answer:

a. The test statistic for this hypothesis would be z=1.71

b. Critical value at α = 0.10: z=1.282

c. Reject H0, the television network should not keep its current lineup.

d. H0: p ≤ 0.50; HA: p > 0.50

Step-by-step explanation:

We have to performa an hypothesis test on a proportion.

The claim is that the proportion of viewers that prefer the new show is bigger than 50% (meaning that most viewers prefer the new show).

The null hypothesis will state that both shows have the same proportion.

Then, the null and alternative hypothesis are:

H_0: \pi\leq0.50\\\\H_a: \pi>0.5

The sample proportion is p=0.53

p=X/n=438/827=0.53

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.5*0.5}{827}}= 0.017

Then, the z-statistic can be calculated as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.50-0.5/827}{0.017}=\dfrac{ 0.029 }{0.017} =1.706

The critical value for a right tailed test at a significance level of 0.10 is zc=1.282. This value can be looked up in a standard normal distribution table.

As the statistic is bigger than the critical value, it lies in the rejection region. The null hypothesis is rejected. There is evidence to support the claim that the proportion of viewers which support the new show is larger than 0.50.

4 0
3 years ago
PLEASE help me! I need this by Today!! anyone
geniusboy [140]

Answer:

x=12

Step-by-step explanation:

Cross multiply them:

84 = 7x

Divide By 7 on both sides

12 = x

And there is the answer. Sorry I couldn't explain better Im really not feeling good today

3 0
2 years ago
Read 2 more answers
Monica graphed the line y=3×+2.Janice graphs the second line that is parallel to monica's and passes through (-2,0). What is the
rewona [7]
The equation of a line that passes throug the point (x1,y1) and has  a sloppe of m is
y-y1=m(x-x1)

the slope of paralell lines ar the same

y=3x+2
y=mx+b
m=slope
m=3

a point is (-2,0)
slope is 3

y-0=3(x-(-2))
y=3(x+2)
y=3x+6
the equation is y=3x+6
4 0
3 years ago
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