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2 years ago

Math vocabulary what is The definition of increasing and decreasing functions

1 answer:

8 0

Increasing function is any function whose value increases with respect to an increase in the variables.

Decreasing function is any function whose values are decreases with respect to an increase in the variables.

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A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates th

sergij07 [2.7K]

Answer:

(a) The mean or expected value of X is 2.2.

(b) The standard deviation of X is 1.3.

Step-by-step explanation:

Let X = number of times the traffic light is red when a commuter passes through the traffic lights.

The probability distribution of X id provided.

The formula to compute the mean or expected value of X is:

$\mu=E(X)=\sum x.P(X=x)$

The formula to compute the standard deviation of X is:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}$

The formula of E (X²) is:

$E(X^{2})=\sum x^{2}.P(X=x)$

(a)

Compute the expected value of X as follows:

$E(X)=\sum x.P(X=x)\\=(0\times0.06)+(1\times0.25)+(2\times0.35)+(3\times0.15)+(4\times0.13)+(5\times0.06)\\=2.22\\\approx2.2$

Thus, the mean or expected value of X is 2.2.

(b)

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}.P(X=x)\\=(0^{2}\times0.06)+(1^{2}\times0.25)+(2^{2}\times0.35)+(3^{2}\times0.15)+(4^{2}\times0.13)+(5^{2}\times0.06)\\=6.58$

Compute the standard deviation of X as follows:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}\\=\sqrt{6.58-(2.22)^{2}}\\=\sqrt{1.6516}\\=1.285\\\approx1.3$

Thus, the standard deviation of X is 1.3.

4 0

3 years ago

Read 2 more answers

Factor completely and then place the factors in the proper location on the grid. 36x 2 + 60x + 25

Aleonysh [2.5K]

Since 36x² + 60x + 25 is the perfect square trinomial, we use this formula a² + 2ab + b² = (a + b)². Hence, the solution is (6x + 5)²

4 0

2 years ago

Read 2 more answers

Find the perimeter and area

Paraphin [41]

Answer:

Perimeter = 19.6 cm

Area = 9.3 cm squared

Step-by-step explanation:

Perimeter: Add sides: 3.1 + 9.3 + 7.2 = 19.6

Area: 9.3 x 2 x 1/2 = 9.3

7 0

3 years ago

Syd chooses two different primes, both of which are greater than $10,$ and multiplies them. The resulting product is less than $

Mars2501 [29]

Answer:

Step-by-step explanation:

There are 7 primes between 10 and 35: 11, 13, 17, 19, 23, 29, 31.

The product of 11 and any of the others will be less than 350, 6 products.

The product of 13 and any below 26 will be less than 350, 3 more products.

The product of 17 and any below 20 will be less than 350, 1 more product.

There are a total of 10 different products below 350 possible.

_____

11·13, 11·17, 11·19, 11·23, 11·29, 11·31, 13·17, 13·19, 13·23, 17·19

6 0

3 years ago

PLEASEE HELPP....Simplify the expression using properties of exponents.

Aleks04 [339]

Answer:

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{n} }{a^{m} }$ = $\frac{1}{a^{(m-n)} }$

Given

$\frac{25a^{-5}b^{-8} }{5a^{4}b }$

= $\frac{25}{5}$ × $\frac{a^{-5} }{a^{4} }$ × $\frac{b^{-8} }{b^{1} }$

= 5 × $\frac{1}{a^{(4-(-5))} }$ × $\frac{1}{b^{(1-(-8))} }$

= 5 × $\frac{1}{a^{9} }$ × $\frac{1}{b^{9} }$

= $\frac{5}{a^{9}b^{9} }$ → D

5 0

2 years ago