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Basile [38]
3 years ago
5

|1|, |-4|, |-3|, |2|

Mathematics
1 answer:
mafiozo [28]3 years ago
4 0

Answer:

|1| = 1

|-4| = 4

|-3| = 3

|2| = 2

Step-by-step explanation:

The absolute value function is defined by

|x|=\begin{cases}x,&x\ge0\\-x,&x

Since 1>0, we have |1| = 1.

Since -4<0, we have |-4| = -(-4) = 4.

Since -3<0, we have |-3| = -(-3) = 3.

Since 2>0, we have |2| = 2.

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X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to fo
lapo4ka [179]

Answer:

0.6247

Step-by-step explanation:

The formula for calculating a Z-score is Z = (X - μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)

Step 1

Find the Probability of X ≤ 36

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 36 - 51/ 10

Z = -15/10

Z = -1.5

We find the Probability of Z = -1.5 from Z-Table

P(X <36) = P(X = 36) = P(Z = -1.5)

= 0.066807

Step 2

Find the Probability of X ≤ 56

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 56 - 51/ 10

Z = 5/10

Z = 0.5

We find the Probability of Z = 0.5 from Z-Table:

P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146

Step 3

Find P(36 ≤ X ≤ 56)

P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)

= P( Z = 0.5) - P(Z = -1.5)

= 0.69146 - 0.066807

= 0.624653

Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247

7 0
3 years ago
Express 78 billion in scientific notation
ryzh [129]

Answer:

7.8 * 10^{10} is scientific notation of 78 billion

Step-by-step explanation:

For scientific notation , follow the following notation:

a * 10^{b} -------->(equation 1)

Let,  a^{'} = 78 billion

a^{'} = 78000000000

a^{'} = 78000000000.0

In standard form

a = 7.8000000000

or

a = 7.8

As decimal point move 10 places from right to left, therefore

b = 10

Put the value of 'a' and 'b' in (equation 1)

7.8 * 10^{10} is scientific notation of 78 billion

6 0
3 years ago
What is the rise over run for the slope -11/9
Igoryamba

Answer:  11 down and 9 right

<u>Step-by-step explanation:</u>

Slope IS rise over run where the top number of the fraction (numerator) determines the vertical distance --> positive is up, negative is down

and the bottom number of the fraction (denominator) determines the horizontal distance --> positive is right, negative is left.

Given slope = -11/9

the numerator is -11 so the "rise" is  DOWN 11 units

the denominator is 9 so the "run" is RIGHT 9 units

7 0
3 years ago
Evan drew 8 pictures. Alexa drew p fewer pictures than Evan. Write an expression that shows how many pictures Alexa drew.
zhenek [66]

Answer:

8 - p

Step-by-step explanation:

X is p fewer than Y … X = Y - P

3 0
1 year ago
What's multiplied to get 44
Scorpion4ik [409]
11x4

22x2

Are all multiplied to get 44
5 0
3 years ago
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