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Svetllana [295]
2 years ago
11

− 1/2 x + 1/3 > 3/5 PLEASE HEPL MEEE!!! A Quick!

Mathematics
1 answer:
VikaD [51]2 years ago
6 0

Answer:

x<-8/15

Step-by-step explanation:

Subtract 1/3 from both sides

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Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o
Juliette [100K]

Answer:

95% Confidence interval:  (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)

(31.32%,47.04%)  is the required 95% confidence interval.

8 0
3 years ago
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone
valina [46]

Answer:

Both plans would cost $100 if 6 gigabytes of data are used.

Explanation:

From the question, the system of equation are correctly represented by using small letter c to represent the total cost in dollars for both equations as already assumed in the question as follows:

c = 52 + 8d ........................... (1)

c = 82 + 3d ........................... (2)

Since c is common to both, equations (1) and (2) can therefore be equated and d solved for as follows:

52 + 8d = 82 + 3d

8d - 3d = 82 - 52

5d = 30

d = 30 / 5

d = 6

Substituting d = 6 into equation (1), we have:

c = 52 + (8 * 6)

c = 52 + 48

c = 100

Since d = 6 and c = 100, it therefore implies that both plans would cost $100 if 6 gigabytes of data are used.

5 0
2 years ago
a store sells new DVDs for $12 each. used DVDs sell for $7 each. Joseph is buying two new DVDs and X used DVDs. write an equatio
vagabundo [1.1K]
Given that new DVDs are selling for $12 and used for $7, then Joseph is buying:
12·2 + 7<em>x </em>= 

7 0
3 years ago
Read 2 more answers
PLEASE HELP ME!! I can’t figure this out
DochEvi [55]
Hello!

The problem has asked that we write a point-slope equation of the line in the image above. Point-Slope Form uses the following formula:

y – y_{1} = m(x – x_{1})

In this case, M represents the slope while X_{1} and Y_{1} represent the corresponding X and Y values of any given point on the line.

We are given that the slope of the line is -\frac{5}{7}. We also know that any given point on a graph takes the form (x,y). Based on the single point provided in the image above, we can determine that X_{1} is equal to 6 and Y_{1} is equal to 2. Now insert all known values into the point-slope formula above:

y – 2 = -\frac{5}{7}(x – 6)

We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that the answer is C.

I hope this helps!

7 0
3 years ago
What is the measure of the following ∠? m∠AOD? 40 80 120
stepladder [879]
120 is the answer im pretty sure
5 0
3 years ago
Read 2 more answers
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