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AleksandrR [38]
3 years ago
12

Which of the following statements is true about the graph of the equation 2y-3x=-4 in the xy-plane? Explain step by step how you

achieved your answer.
A) It has a negative slope and a positive y-intercept.
B) It has a negative slope and a negative y-intercept.
C) It has a positive slope and a positive y-intercept.
D) It has a positive slope and a negative y-intercept.
Mathematics
1 answer:
sertanlavr [38]3 years ago
5 0

D. It has a positive slope and negative y- intercept.

Step-by-step explanation:

2y -3x = -4

We can rewrite the equation in the form of y = mx+ b where m is the slope and b is the y - intercept as,

2y = 3x- 4

Dividing all the terms by 2, we will get,

2y/2 = 3x/2 - 4/2

y = (3/2)x -2

So the slope is 3/2 which is positive and y-intercept is -2 which is negative.

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At Bridgeview School,7/10 of the total students are driven to school by their parents. Another 1/6 of the total students at Brid
jarptica [38.1K]

Answer: 2/15

Step-by-step explanation:

We are given the information that at Bridgeview School, 7/10 of the total students are driven to school by their parents and that 1/6 of the total students at Bridgeview School ride the bus.

The fraction of the students that walk to school would be:

= 1 - (7/10 + 1/6)

= 1 - (21/30 + 5/30)

= 1 - 26/30

= 4/30

= 2/15

5 0
3 years ago
What is the slope of the line that passes through the given points? (1 point)
frez [133]
(1/2,3)(2,3/4)
slope = (3/4 - 3) / (2 - 1/2) = (3/4 - 12/4) / (4/2 - 1/2) =
(-9/4) / (3/2) = -9/4 * 2/3 = -18/12 = -3/2
4 0
3 years ago
A certain store sells small, medium and large toy trucks in each of the colors red blue green and yellow. the store has an equal
tangare [24]
There is a 1/2 chance that he will get at least one of the two features.

There are 3 x 4 = 12 possibilities. There are all 4 colors of each 3 sizes.

All 4 of the medium trucks have one of the features.

For the other 2 sizes, only the red truck will have one of the features.

There are 4 + 2 = 6 possibilities out of 12 for a chance of 6/12 or 1/2.
3 0
3 years ago
Read 2 more answers
A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 student
yan [13]

Answer:

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the difference between population means is:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

The information provided is as follows:

n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43

The critical value of <em>z</em> for 98% confidence level is,

z_{\alpha/2}=z_{0.02/2}=2.326

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

     =(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)

Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

5 0
3 years ago
Write the equation of the
Step2247 [10]

Answer:

-4-(-3)

-4+3= -1

-8-(-6)=

-8+6= -2

3 0
3 years ago
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