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3 years ago

H(x)= -x^2 - 4 i(x)=2x+3 h(i(5))

1 answer:

6 0

H(x) = -x² - 4
i(x) = 2x + 3

h(i(5)) = -(2(5) + 3) - 4
h(i(5)) = -(10 + 3) - 4
h(i(5)) = -(13) - 4
h(i(5)) = -13 - 4
h(i(5)) = -17

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A force of 90 Newton's is applied to a 20cm2 surface. The force applied is then increased by 5 Newton's and the surface is incre

Debora [2.8K]

Answer:

15.56%

Step-by-step explanation:

The force applied, F, to the surface is 90N.

The area, A, of the surface is $20 cm^2$ = $0.002m^2$

The pressure on the surface is:

P = F / A = 90 / 0.002 = 45000 Nm^2

The force is increased by 5N, the new force is 95N.

The surface area is increased by 5 cm^2 = 0.0005 m^2. The new surface area is 0.0025 m^2.

The pressure is now:

P = 95 / 0.0025 = 38000 Nm^2

The percentage decreased is gotten by dividing the difference in the two values by the old value and then multiplying by 100.

=> Difference = 45000 - 38000 = 7000

% decrease is therefore:

= 7000 / 45000 * 100 = 15.56%

There was a 15.56% decrease.

5 0

3 years ago

Problems 27: the number X is the number of car which passed through the

svet-max [94.6K]

Answer:

a) The value of a= 0.59

b) The probability that there are at-least 3 cars passing through the stop sign

P(x>3) = 0.03

The Expected value of X = 0.62

The variance of X is σ² = 0.9556

The standard deviation of X

σ = 0.9775

Step-by-step explanation:

Given data

X : 0 1 2 3 4 5

P(x) : a 0.30 0.05 0.03 0.02 0.01

∑ $p(x_{i} )$ = 1

a + 0.30+ 0.05+ 0.03+ 0.02+0.01 = 1

a + 0.41 = 1

a = 1 - 0.41

a = 0.59

The probability that there are at-least 3 cars passing through the stop sign

P(x >3) = P( x=4) + P( x=5)

= 0.02 +0.01

= 0.03

X : 0 1 2 3 4 5

P(x) : 0.59 0.30 0.05 0.03 0.02 0.01

The Expected value of X

E(X) = ∑ x P(X= x)

= 0 + 1 ×0.30 + 2×0.05 + 3×0.03 + 4×0.02 + 5×0.01

= 0.30 + 0.1 + 0.09 +0.08 +0.05

= 0.62

The Expected value of X

E(X) = 0.62

d)

The variance of the discrete distribution

σ² = ∑ x²p(x) -μ²

σ² = 0 + 1² ×0.30 + 2² ×0.05 + 3² ×0.03 + 4² ×0.02 + 5²× 0.01 - (0.62)²

= 1.34 - 0.3844

= 0.9556

σ² = √0.9556

e) The standard deviation of the discrete distribution

σ = 0.9775

4 0

3 years ago

You roll a 6 sided die 2 times what is the probability of rolling a 6 and then rolling a number greater than 2

jek_recluse [69]

Answer:

1/9 probability of rolling a 6 and then a number greater than 2

Step-by-step explanation:

1. Rolling a six on the first go is 1/6 chance

2. Rolling a number greater than 2, for example 4, is also 1/6 chance

3. So we know that at first, there is a 1/6 chance of rolling a 6, now when the die is rolled again, there needs to be a 3, 4, 5 or 6, each of these has a 1/6 chance again

4. So the chance of rolling a 6 and then a 3 is solved by finding the chance of rolling 6, then multiplying that by the chance of rolling a 3 afterwards

5. We get an equation of 1/6 x 1/6 which = 1/36

6. We apply this to the rest of the possible combinations, 6 and then 4 which is 1/36, 6 and then 5 etc.

7. Once we find all possible combinations, we add them up, this means that 6 then 3 = 1/36, 6 then 4 = 1/36, 6 then 5 = 1/36 and 6 then 6 = 1/36 is added so we get 1/36 + 1/36 + 1/36 + 1/36 = 4/36

8. We simplify this to get 1/9

7 0

3 years ago

Find the next two !!!

melomori [17]

It's adding 3 and subtracting 2 every time.

This means the next two terms would be +3 and -2 since the last one was -2.

The next term = 4+3=7

The next next term = 7-2=5

5 0

3 years ago

Read 2 more answers

If the sales tax rate is 8%, how much tax would Luis pay for a pair of pants for $18 and two shirts for $9.99 each?

dlinn [17]

Answer:

$3.04 (rounded to nearest cent)

Step-by-step explanation:

Total cost without tax = $18 + $9.99 × 2

= $37.98

Tax = $\frac{8}{100}$ × $37.98

= $3.04 (rounded to nearest cent)

8 0

3 years ago