Find the area of a rectangle that is 5.8 cm long and 1.2 cm wide

Mathematics

2 answers:

Svetlanka [38]3 years ago

5 0

Paraphin [41]3 years ago

3 0

Answer:

6.96

Step-by-step explanation:

I multiplied 5.8 cm by 1.2 cm which gave me 6.96

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The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard devi

son4ous [18]

Answer:

Step-by-step explanation:

Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = length of time

u = mean time

s = standard deviation

From the information given,

u = 2.5 hours

s = 0.25 hours

We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as

P(2 lesser than or equal to x lesser than or equal to 3)

For x = 2,

z = (2 - 2.5)/0.25 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 3,

z = (3 - 2.5)/0.25 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

P(2 lesser than or equal to x lesser than or equal to 3)

= 0.97725 - 0.02275 = 0.9545

6 0

4 years ago

If r(X)=2-x^2 and w(X)=X-2, what is the range of (w*r)(X)

slega [8]

The given function are
r(x) = 2 - x² and w(x) = x - 2
(w*r)(x) can be obtained by multiplying the both function together

So, (w*r)(x) = w(x) * r(x) = (x-2)*(2-x²)
(w*r)(x) = x (2-x²) - 2(2-x²)
= 2x - x³ - 4 + 2x²

∴ (w*r)(x) = -x³ + 2x² + 2x - 4


It is a polynomial function with a domain equal to R

The range of (w*r)(x) can be obtained by graphing the function

To graph (w*r)(x), we need to make a table between x and (w*r)(x)

See the attached figure which represents the table and the graph of (w*r)(x)


As shown in the graph the range of (w*r)(x) is (-∞,∞)