which situation would be represented by a discrete probability distribution? a) the weight of fire fighters b) the overall average of a math class c) the ages of all the students in a class d) the number of students who could distinguish between two different soft drinks

Answers

Answer 1

Answer: A discrete variable is a variable which may take only certain discrete values; for example the number of people in a household is a discrete variable which may have the value 1, 2, 3, etc. but cannot have intermediate values such as 1.473 or 3.732.
Choice d) can be represented by a discrete probability distribution, the other choices cannot be so represented.

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Write a power that has a value greater than 140 and less than 145.

An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply.Select answers;
This function can be represented by the quadratic equation f(x)=0.15(x+60)^2
This situation can be represented by the exponential function f(x)=60 x 1.15^x
This function has no x-intercept
After 4 years the value of the investment will be $120.00
After 6 years the value of the investment will be $653.00
After 7.86 years the value of the investment will be 3 times the initial value
After 8 years the value of the investment will be $184.00

Answers

Answer: The function can be represented by the exponential function :

$f(x)=60(1+0.15)^x=60(1.15)^x$

This function has no x-intercept .

After 7.86 years the value of the investment will be 3 times the initial value .

After 8 years the value of the investment will be $184.00.

Step-by-step explanation:

The exponential growth function is given by :-

$f(x)=A(1+r)^x$ , where A is the initial value , r is the rate of growth and x is the time period.

Given: A = $60

r=15%=0.15

Now, the function can be represented by the exponential function :

$f(x)=60(1+0.15)^x=60(1.15)^x$

We know that exponential function has no intercept , thus this function has no intercept.

∴

Now, at x=4

$f(4)=60(1.15)^4\approx104.94$

Now, at x=6

$f(6)=60(1.15)^6=138.78\approx139$

Now, at x=7.86

$f(7.86)=60(1.15)^(7.86)=179.98180=3(60)$

∴ After 7.86 years the value of the investment will be 3 times the initial value

Now, at x=8

$f(8)=60(1.15)^8=183.54\approx184$

The situations can be represented by the exponential function f(x)=60x1.15^x
After 7.86 years the value of the investment will be three times the initial value (If you round to the nearest dollar)
After 8 years the value of the investment will be $184.00 (If you round to the nearest dollar)

The check is written and signed by theA. drawer.
B. drawee.
C. payee.
D. payer.
User: If the bank charged another company’s check against Shoe Depot’s account, this would be included on the bank reconciliation as a/an
A. addition to the balance per books.
B. subtraction from the balance per books.
C. addition to the balance per bank.
D. subtraction from the balance per bank.

Answers

The check is written and signed by the drawer. A drawer is the maker or the writer of a bill of exchange (such as a cheque) who directs the drawee (such as a bank) to pay the stated amount to a third party (the payee). If the bank charged another company's check against Shoe Depots account, this would be included on the bank reconciliation as an addition to the balance per bank.

The correct answer is C. Addition to the balance per bank

What is the answer to this 17x-9(x+4)=3x-26

Answers

17x - 9(x + 4) = 3x - 26

First, expand to remove parentheses.
$17x - 9x - 36 = 3x - 26$
Second, subtract 17x - 9x to get 8x.
$8x - 36 = 3x - 26$
Third, add 36 to both sides.
$8x = 3x - 26 + 36$
Fourth, simplify.
$8x = 3x + 10$
Fifth, subtract 3x from both sides.
$8x - 3x = 10$
Sixth, subtract 8x - 3x.
$5x = 10$
Seventh, divide both sides by 5.
$x = (10)/(5)$
Eighth, since 2 goes into 5 to get 10, simplify the fraction to 2.
$x = 2$

Answer: x = 2

ACT mathematics score for a particular year are normally distributed with a mean of 28 and a standard deviation of 2.4 pointsA. What is the probability a randomly selected score is greater than 30.4?

B. what is the probability a randomly selected score is less than 32.8?

C. What is the probability a randomly selected score is Between 25.6 and 32.8?

Answers

Answer:

a. 0.1587

b. 0.8849

c. 0.1814

Step-by-step explanation:

a. Given that $\mu=28, \ \ \sigma=2.4$

-The probability a randomly selected score is greater than 30.4 is calculated as:

$P(X>30.4)=1-P(X<30.4)\n\nz=(\bar X-\mu)/(\sigma)\n\n=(30.4-28)/(2.4)=1\n\n\therefore P(X>30.4)=1-P(z<1)\n\n=1-0.84134\n\n=0.1587$

Hence, the probability of a score greater than 30.4 is 0.1587

b. Given that $\mu=28, \ \ \ \sigma=2.4$

The probability a randomly selected score is less than 32.8 is calculated as:

$P(X<32.8)=P(z<(\bar X-\mu)/(\sigma))\n\nz=(\bar X-\mu)/(\sigma)\n\n=(32.8-28)/(2.4)=1.2\n\nP(X<32.8)=P(z<1.2)\n\n=0.88493$

Hence, the probability that a randomly selected score is less than 32.8 is 0.8849

c. The probability that a score is between 25.6 and 32.8 is calculated as follows:

$P(25.6<X<32.8)=P((\bar X-\mu)/(\sigma)<z<(\bar X-\mu)/(\sigma))\n\n=P((25.6-28)/(2.4)<z<(32.8-28)/(2.4))\n\n=P(-1<z<2.0)\n\n=0.15866+(1-0.97725)\n\n=0.1814$

Hence, the probability is 0.1814

The National Football League (NFL) polls fans to develop a rating for each football game. Each game is rated on a scale from 0 (forgettable) to 100 (memorable). The fan ratings for a random sample of 12 games follow. 57 61 87 74 72 73 19 56 81 79 83 75 a. Develop a point estimate of mean fan rating for the population of NFL games (to 2 decimals). b. Develop a point estimate of the standard deviation for the population of NFL games (to 4 decimals).