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Over [174]
3 years ago
12

Can u help me?3×p + 4 > -2 ​

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
4 0

Answer:

p > -2

Step-by-step explanation:

as we know that

3P>-2 -4

3P> -6

P > -6/3

P> -2

so we place any value of p which is grater than -2

like -1,0,1,2 and so on

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An honest die is rolled. If the roll comes out even (2, 4, or 6), you will win $1; if the roll comes out odd (1,3, or 5), you wi
jenyasd209 [6]

Answer:

(a) 50%

(b) 47.5%

(c) 2.5%

Step-by-step explanation:

According to the honest coin principle, if the random variable <em>X</em> denotes the number of heads in <em>n</em> tosses of an honest coin (<em>n</em> ≥ 30), then <em>X</em> has an approximately normal distribution with mean, \mu=\frac{n}{2} and standard deviation, \sigma=\frac{\sqrt{n}}{2}.

Here the number of tosses is, <em>n</em> = 2500.

Since <em>n</em> is too large, i.e. <em>n</em> = 2500 > 30, the random variable <em>X</em> follows a normal distribution.

The mean and standard deviation are:

\mu=\frac{n}{2}=\frac{2500}{2}=1250\\\\\sigma=\frac{\sqrt{n}}{2}=\frac{\sqrt{2500}}{2}=25

(a)

To not lose any money the even rolls has to be 1250 or more.

Since, <em>μ</em> = 1250 it implies that the 50th percentile is also 1250.

Thus, the probability that by the end of the evening you will not have lost any money is 50%.

(b)

If the number of "even rolls" is 1250, it implies that the percentile of 1250 is 50th.

Then for number of "even rolls" as 1300,

1300 = 1250 + 2 × 25

        = μ + 2σ

Then P (μ + 2σ) for a normally distributed data is 0.975.

⇒ 1300 is at the 97.5th percentile.

Then the area between 1250 and 1300 is:

Area = 97.5% - 50%

        = 47.5%

Thus, the probability that the number of "even rolls" will fall between 1250 and 1300 is 47.5%.

(c)

To win $100 or more the number of even rolls has to at least 1300.

From part (b) we now 1300 is the 97.5th percentile.

Then the probability that you will win $100 or more is:

P (Win $100 or more) = 100% - 97.5%

                                   = 2.5%.

Thus, the probability that you will win $100 or more is 2.5%.

7 0
3 years ago
4 3/10 - ( 2 2/5x+ 5 1/2) = 1/2(-3 3/5x + 1 1/5)
koban [17]

Answer:

x = -223/11 = -20.273

Step-by-step explanation:

Step  1  : Simplify:  11/5

Step 2: Simplify 33/5

Step  3  :

Adding fractions which have a common denominator

Step  4: Simplify: 1/2

Step  5  :  see below

Step  6  :  see below

Pulling out like terms/factors

Step  7 : Simplify: 51/2

Step 8:  Simplify: 22/5

Step 10: Simplify: 43/10

Step  9  :

Calculating the Least Common Multiple

Step  11  :

Adding fractions which have a common denominator

Done.

Hope this helps.

7 0
3 years ago
A ramp is at an angle of elevation of 15°. The distance from the top of the ramp to the ground is 20 feet. What is the length of
Natasha_Volkova [10]
77.27 ft rounded to the nearest tenth is 77.3 ft
6 0
2 years ago
Ms. Walker's class set up an online fund with a goal to raise $1,280 to go on a field trip. Ms. Walker starts the fund by deposi
madreJ [45]
What you can use for this case is a function of the potential type.
 We have then
 y = a (b) ^ x
 Where we have:
 Walker starts the fund by depositing $ 5
 a = 5
 Each week the balance of the fund is twice the balance of the previous week:
 b = 2
 The function is:
 y = 5 (2) ^ x
 The number of weeks to reach $ 1280 is 8 weeks.
 Check:
 y = 5 (2) ^ 8
 y = 1280
 Answer:
 An equation can be used to find the number of weeks, x, after which the balance of the fund will reach $ 1,280 is:
 y = 5 (2) ^ x
 The number of weeks that it takes to reach the class goal is
 8 weeks
4 0
3 years ago
Read 2 more answers
What equation do you get when you solve z-m=z+bx for x?
Nimfa-mama [501]
X = -m/b.
Subtract z from both side and you get
-m= bx
Now divide both side by b and you get
-m/b= x
8 0
3 years ago
Read 2 more answers
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