QUESTION 11 A recent study has shown the amount of time people are using their electronic devices (i.e. using a com- puter/phone/tv) has dramatically increased since March. This study stated the random variable r= the amount of time (in hours) a randomly selected American is using their electronic devices per day, is approximately normal with mean µ„ = 6.5 and o, = 1.25. Compute the following: a.) What is the probability a randomly selected American uses electronic devices less than 6 hours a day, i.e. P(r < 6)? Round to 4 decimal places. b.) What is the probability a randomly selected American uses electronic devices greater than 7 hours a day,

Q: 14. L1+ 2t- 3

A: Given The given expression is  Apply Laplace transform formula.

Q: Simplify (22/3.2*/3)

A: We have to simplify the given expression.

Q: Estimate N if (L, R, d) = (0.5, 0.15, 8) and R is increased from0.15 to 0.17.

A: Given, N=L,R,D=0.5,0.15,8 if R incresed from 0.15 to 0.17 N=0.5, 0.17, 8

Q: 4 2. lim 8 g० ४-०

A: Given,          limv→2v2-4v3-8

Q: 7. Find 1-+- + 2:10 330

A:

Q: 7. Let ƒ(x) = 4x − 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following.

A: Given f(x) = 4x - 3 g( x ) = x2 + 4 h( x ) = x + 5

Q: What is j raise to 6+4j?

A: Find 6+4jj.

Q: 2. 2.

A:

Q: あ。(12イ45 bt-ef e

A: 2x+53ax-53

Q: 3 3. tan ydy

A: Consider the given integral. I=∫π33π4tan8ydy First calculate the integral. I1=∫tan8ydy

Q: 6. 9 > x + 8

A: To solve the given inequality 9&gt;x+8

Q: 2) Use linearization to approximate the value of 7.99 +(7.99)².

A:

Q: Which of the following is equal to C(300,40)

A: We can make it easier for you.

Q: 1 Select one: а. x - 1 1 1 In 2 x2 b. 1 2 In C. 4 In X 2 x2 d. In X 2 + C 2 x2

A:

Q: 4.25a - 7.5a + 5 + 3.2a

A:

Q: 8 Evaluate for (3x² -7x+4

A: We have to use the concept of derivatives

Q: 6. (2m²n)* 1 Show Your Work

A:

Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: Let A = 2 0 and 1 -1 2 3. find A+(28)"

A: Given that A= 1201-12        and B=2-11103 find A+2BT

Q: - |xVx +1 dx

A:

Q: Enter the value of L- 1.27].

A: Floor value of x  is given as the greatest integer that is less than or equal to x

Q: 7 (x+1)2 dx а. 11 x 2

A: Use the substitution method, to simplify the integral ∫x+172x112dx.…

Q: 3 (=-2)* 2. Show that - = 00,

A:

Q: 97 45. -x³dx +

A:

Q: 1 er +1

A: To determine:

Q: Simplify. [21 -28] 70 -35

A:

Q: 8 n (-2) n 3231 7zZ

A:

Q: 8 dp- 12 x" -1 Evaluate

A:

Q: x3 f) x2+2x+1

A:

Q: 18.

A:

Q: Consider the following. y 10r (4, 9) 8 (0,7)

A: (a). Obtain the least squares equation: Given data represents the graph for the dependent variable…

Q: -4 (70 -1 1 7

A: Given,          70-1-417

Q: 2 x -dx 6. Jo 1-x

A:

Q: -3(r-4) 2 0

A: To plot the values of 'r' satisfies for,  -3(r - 4) ≥ 0 =&gt; the product is always greater that…

Q: 5a2 – 14.x + 6 d.x 13.) x3 -3x2

A:

Q: .72+40

A:

Q: (– 13 is undefined. 3 Explain why

A: We will have to use the formula  With n=-13 and r=3

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.