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3 years ago

Solve for inequality -6<4x-2≤10

Mathematics

1 answer:

emmasim [6.3K]3 years ago

8 0

Answer:

-1 < x ≤ 3

Step-by-step explanation:

group:

-6 < 4x - 2

4x - 2 ≤ 10

group:

-6 + 2 < (4x-2) + 2

(4x-2) + 2 ≤ 10 + 2

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Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay p

garik1379 [7]

Answer:

m = $\frac{1}{20}$
μ = 20
σ = 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable X follows an exponential distribution with parameter m.

The decay parameter is, m.

The probability distribution function of an Exponential distribution is:

$f(x)=me^{-mx}\ ;\ m>0, x>0$

Given: The decay parameter is, $\frac{1}{20}$

X is defined as the distance people are willing to commute in miles.

The decay parameter is m = $\frac{1}{20}$ .
The mean of the distribution is: $\mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20$ .
The standard deviation is: $\sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20$

Compute the probability that a person is willing to commute more than 25 miles as follows:

$P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865$

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

7 0

4 years ago

How many times does 5.4 go into 60 if it starts at -18?

photoshop1234 [79]

Answer:

14 $\frac{4}{9}$

Step-by-step explanation:

starting at -18 you must add 5.4 until you reach 60

-18 + 5.4 = -12.6 once (1)

-12.6 + 5.4 = -7.2 twice (2)

-7.2 + 5.4 = -1.8 thrice (3)

-1.8 + 5.4 = 3.6 fourth (4)

3.6 + 5.4 = 9 fifth (5)

9 + 5.4 = 14.4 sixth (6)

14.4 + 5.4 = 19.8 seventh (7)

19.8 + 5.4 = 25.2 eighth (8)

25.2 + 5.4 = 30.6 ninth (9)

30.6 + 5.4 = 36 tenth (10)

36 + 5.4 = 41.4 eleventh (11)

41.4 + 5.4 = 46.8 twelth (12)

46.8 + 5.4 = 52.2 thirteenth (13)

52.2 + 5.4 = 57.6 fourteenth (14)

since 57.6 + 5.4 is over 60, we need to find the difference in how much we need

57.6 - 60 = -2.4

we need 2.4 so subtract by 5.4

5.4 - 2.4 = 3

therefore we should divide

$\frac{2.4}{5.4}$ = 14.444...

which means it goes into 60 (starting at -18) 14.444... repeating times

another way to find the answer is

add 18 + 60

18 + 60 = 78

78/5.4 = 14.444... repeating or 14 $\frac{4}{9}$

hope this helps:)

6 0

2 years ago

Solve y^4/5=34

Svetradugi [14.3K]

Answer:

The best choice is y = 82.1

Step-by-step explanation:

Just simplify both sides of the equation, then isolate the variable.

Which makes it's exact form y= 34^5/4 and when converting it to decimal form it becomes y = 82.1

8 0

3 years ago

Read 2 more answers

i have math questions that i need answers for please loook at the photos, please do them in order so i know please and thankssss

nikitadnepr [17]

The first picture about the rational numbers I am not sure the answer.

In the second picture the set that are all equivalent to the fraction is the second set.

In the third picture

the equivalent expression is the first one.

In the fourth picture the correct situation is the first one about buying popcorn.

Hope this helps a little, sorry I could not help more.

7 0

4 years ago

The sum of 4 consecutive odd number is 40. What is the greatest of the 4 numbers?

Helen [10]

13 because

13+11+9+7=40

7 0

4 years ago