All categories

4 years ago

How many solutions are there for this system of equations? y= 2x + 8 y= 2x + 6

1 answer:

8 0

There are no solutions because when you do 2x+8=2x+6, you cancel out the like terms which leaves you with 8=6 which is not true.

You might be interested in

There are 45 students who play a woodwind instrument in the school band. Of these, 18 play the saxophone. What percent of these

Mashutka [201]

Answer:

40% students play the saxophone.

Step-by-step explanation:

Given:

Total Number of students who play woodwind instrument = 45

Number of students who play saxophone = 18

We need to find the percent of students who play saxophone.

Solution:

Now we can say that;

To find the percent of students who play saxophone we will divide Number of students who play saxophone by Total Number of students who play woodwind instrument and the multiply by 100.

framing in equation form we get;

percent of students who play saxophone = $\frac{18}{45}\times100= 40\%$

Hence 40% students play the saxophone.

3 0

3 years ago

A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class

KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

Let p = percentage of seniors who skip their classes.

So, Null Hypothesis, $H_0$ : p $\leq$ 2% {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, $H_A$ : p > 2% {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of seniors who skipped their classes = $\frac{77}{2521}$

n = sample of classes = 2521

So, test statistics = $\frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }$

= 3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0

4 years ago

Solve - 2/5x is less than or equal to 20

sashaice [31]

Answer:

x is less than or equal to 0

Step-by-step explanation:

- you need to multiply both sides of the inequality by 5/2

- then you reduce the numbers with the greatest common factor 5

- then you reduce the numbers with the greatest common factor 2

- any expression multiplied by 0 equals 0

- so you get x is less than or equal to 0

^^^ hope this helps! :)

8 0

3 years ago

Answer the following questions, using the simulation: a. Determine the spring constant, k, of Spring 1, by using Hooke’s Law. Ta

Akimi4 [234]

At high noon, you can feel warm air coming from inland. During noon, especially in spring and summer, the radiation caused by the Sun warms the land surface more compared to the sea surface. This is because heat is directly applied on the land surface compared to the ocean.

4 0

3 years ago

What's the answer to this please help. :)

Alexxandr [17]

I think the answer is 32 if I did my math right sorry if it wrong

6 0

3 years ago

Read 2 more answers