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3 years ago

Need help with graph please asap, 12 points!

Mathematics

2 answers:

kolezko [41]3 years ago

8 0

For the green part
X (less than or equal to sign) y
The blue
Y(less than or equal to sign)6

Rus_ich [418]3 years ago

5 0

So since both these lines are solid lines and not dashed lines, the inequality is going to be either ≥ or ≤.

Starting with the horizontal line, all the points on that line have the y-coordinate of 6, therefore this line is going to be y_6. And since the shaded region is below the line, this inequality is going to be y ≤ 6.

With the next line, it is y_x. The y-intercept is (0,0) and the slope is 1. And since the shaded region is above this line, this inequality is going to be y ≥ x.

In short, the system of inequalities is y ≥ x and y ≤ 6.

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You rent 2 DVDs and 1 video game for $12. The following week, your friend rents 4 DVDs and two video games for $24. Which of the

oksian1 [2.3K]

There are inifinite solutions because they are the same equation

2D + 1G = 12

and

4D + 2G = 24 (divide by 2) 2D + G = 12

2D + 1G = 12 is the same as 2D + 1G = 12

5 0

3 years ago

As a follow-up to a report on gas consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f

kondor19780726 [428]

Answer:

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 96-1 = 95$

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have $T = 1.9855$ .

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{5.6}{\sqrt{96}} = 0.57$

Now, we multiply T and s

$M = T*s = 1.9855*0.57 = 1.31$

For the lower end of the interval, we subtract the mean by M. So $19.6 - 1.31 = 18.29$

For the upper end of the interval, we add the mean to M. So $19.6 + 1.31 = 20.91$

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0

4 years ago

Jessa completed a bike ride in 3 hours and 18 minutes. Write Jessa's biking time as a decimal to TWO decimal places.

Tju [1.3M]

Steps to Calculate Hours

3ℎ+18×1ℎ60+0×1ℎ3600
3
h
r
+
18
m
i
n
×
1
h
r
60
m
i
n
+
0
s
×
1
h
r
3600
s
=3ℎ+0.3ℎ+0ℎ
=
3
h
r
+
0.3
h
r
+
0
h
r
=3.3ℎ

Steps to Calculate Minutes

3ℎ×601ℎ+18+0×160
3
h
r
×
60
m
i
n
1
h
r
+
18
m
i
n
+
0
s
×
1
m
i
n
60
s
=180+18+0
=
180
m
i
n
+
18
m
i
n
+
0
m
i
n
=198
=
198
m
i
n

Steps to Calculate Seconds

3ℎ×36001ℎ+18×601+0
3
h
r
×
3600
s
1
h
r
+
18
m
i
n
×
60
s
1
m
i
n
+
0
s

=10800+1080+0
=
10800
s
+
1080
s
+
0
s
=11880
=
11880
s
hope this helps

6 0

3 years ago

Suppose that a Ferris wheel is 40 feet in diameter, rotates counterclockwise, and when a passenger

Scilla [17]

It’s a ...................

3 0

3 years ago

In one year, three awards (research, teaching, and service) are given to a class of 25 graduate students in a statistics departm

allochka39001 [22]

Answer:

13,800

Step-by-step explanation:

This is a permutation, not a combination, because order matters.

Here's why:

Arbitrarily, let's say that the three students chosen for the award are Abby, Bob, and Charlie. The order of which each award is given to the three of them matters, because otherwise they would be receiving different awards. For example, if Abby gets the research award, Bob gets the teaching award, and Charlie gets the service award, this would be notably different than if Abby got the teaching award, Bob got the service award, and Charlie got the research award.

Therefore, for the first award, we have 25 people to choose from. After we select that person, we have 24 people to choose from, since the problem stipulates that each student can receive at most one award. Then 23, and so on.

Since we're choosing three people to give awards to, there are:

$25\cdot 24\cdot 23=\boxed{13,800}$ permutations. Because order matters (refer to explanation above), this is our final answer.

3 0

3 years ago