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qwelly [4]
1 year ago
13

Solve -3 < 2x + 3 < 5

Mathematics
1 answer:
lana [24]1 year ago
7 0

The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).

Inequality:

When the symbols ">", "<", "≤", or "≥" are used to connect two real numbers or algebraic expressions, that relationship is known as an Inequality.

Here the given Inequality is -3<2x+3≤5

⇒ -3<2x+3≤5

⇒-3-3 < 2x+3-3 ≤ 5-3 { add -3 on both the sides }

⇒-6 < 2x ≤ 2

⇒-3 < x ≤ 1

⇒-3 < x and  x ≤ 1

⇒ x > -3 and x ≤1

Therefore,The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).

Learn more about Inequality here:

brainly.com/question/20383699

#SPJ4

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Assume that the random variable X is normally distributed, with mean p = 100 and standard deviation o = 15. Compute the
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Answer:

P(X > 112) = 0.21186.

Step-by-step explanation:

We are given that the random variable X is normally distributed, with mean \mu = 100 and standard deviation \sigma = 15.

Let X = <u><em>a random variable</em></u>

The z-score probability distribution for the normal distribution is given by;

                               Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 100

            \sigma = standard deviaton = 15

Now, the probability that the random variable X is greater than 112 is given by = P(X > 112)

      P(X > 112) = P( \frac{X-\mu}{\sigma} > \frac{112-100}{15} ) = P(Z > 0.80) = 1- P(Z \leq 0.80)

                                                       = 1 - 0.78814 = <u>0.21186</u>  

The above probability is calculated by looking at the value of x = 0.80 in the z table which has an area of 0.78814.

7 0
3 years ago
F(x)=20x Calculate how high he will be at 5, 25, and 60 minutes.
nevsk [136]

Answer:

f(5) = 100

f(25) = 500

f(60) = 1200

Step-by-step explanation:

All you had to do was pulug in the f(x) into the x.

F(5) = 20 (5) = 100

f(25) = 20(25) = 500

f(60) = 20(60) = 1200

PLZ MARK ME BRAINLIEST!!!!

8 0
3 years ago
Two customers went to the post office to buy postcards and large envelopes. Each postcard costs the same amount and each large e
anygoal [31]

Answer:

The first one $1.42

Step-by-step explanation:

1.42x5=7.1 (cost of all envelopes)

12-7.1=4.9

4.9/14=0.35 (one postcard)

10 postcards= 3.5

1.42x15=21.3 (cost of all envelopes)

3.5+21.3=$24.80

7 0
3 years ago
How many solutions does the following equation have? 5 x + 8 − 7 x = − 4 x + 1 5x+8−7x=−4x+15, x, plus, 8, minus, 7, x, equals,
UNO [17]

Answer: There is one valid solution to the equation 5x + 8 - 7x = -4x + 1, x = -3.5.

Step-by-step explanation:

8 0
2 years ago
K = 2LM + 2LN. Solve for L
Andreas93 [3]
L is 0 because it cancels itself out
6 0
3 years ago
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