MATHEMATICS HIGH SCHOOL

Given the values in the probability distribution table, determine the standard deviation. A. 3.2
B. 13.9
C. 3.9
D. 2.0

Answers

Answer 1

Answer:

Answer:

D. 2.0 is the right answer

Step-by-step explanation:

Note: All decimals were converted to fractions.

The standard deviation of the given distribution is:

σ=1.965

Answer 2

Answer:

Answer:

1.96

Step-by-step explanation:

Solution:-

- We will use the table given to determine the standard deviation of random variable x. From descriptive statistics we have the following formula for standard deviation (s.d) :

s.d (x) = sqrt ( Var(x) )

- The formula for Variance ( Var (x) ) is also taken from descriptive statistics as follows:

$Var(X) = E ( X^2) + [ E(X) ] ^2$

- Where,

$E ( X^2) = 0^2*0.15 + 1^2*0.07 + 2^2*0.19 + 3^2*0.09 + 4^2*0.16 + 5^2*0.23 +6^2*0.11 \n\nE ( X^2) = 13.91 \n\n$

$E(X) = 0*0.15\:+\:1*0.07\:+\:2*0.19\:+\:3\cdot \:0.09\:+\:4\cdot \:0.16\:+\:5\cdot \:0.23\:+6\cdot \:0.11\n\nE(X) = 3.17\n\n(E(X))^2 = 10.0489$

- So the variance is:

Var ( X ) = 13.91 - 10.0489 = 3.8611

s.d (x) = √3.8611 = 1.96

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What are the first three terms of the sequence a1 = 3 and an = 2(an-1)^2? I thought the answer was 3,18,32 but that's not an option! help????

Answers

Answer:

3,18,648

Step-by-step explanation:

We are asked to find out the first three terms of the sequence.

Recurring formula is given as

$a_(n) =2(a_(n-1) ^2)$

Since I term = 3

$a_(2) =2(a_(1))^2=2(3^2)=18$

Applying the same rule,

third term

= $a_(3) =2(a_(2))^2\n=2(18^2)\n=648$

Like this we can find out any number of terms using this recursive formula

a1=3
a2=2(3^2)=18
a3=2(18^2)=648

Multiplying a number by 2 and then adding 5 gives the same number as subtracting a number from 23. What is the number?

Answers

2 * x + 5 = 23 - x <=> 3 * x = 18 <=.> x = 6;

F(x) = 3x + 2 g(x) = 2x^2 - 4x
h(x) = x^2 - x + 7

Find f[g(5)]

A. 92
B. 2
C. 30
D. 242

Answers

Answer:

Step-by-step explanation:

Evaluate g(5), then use the value obtained to evaluate f(x) , that is

g(5) = 2(5)² - 4(5) = 2(25) - 20 = 50 - 20 = 30, then

f(30) = 3(30) + 2 = 90 + 2 = 92

If a business made $85,000 in seven months, how much money will the business make in one year?

Answers

$145,714.28 because you divide 85,000 dollars by 7 then you multiply that answer by 12

Find the correct sum of these geometric series..*a1=343, an=-1, r= -1/7

*a1=80, n=7, r= -1/2

*a1= 3, a8=384, r=2

Please help me with these problems.. :(

Answers

1)
$a_(1)=343\n a_(r)=-1\nr=- (1)/(7) \na_(r)=a_(1)* q^(r-1) \n-1=343*q^(r-1)\n-1=343* -((1)/(7))^(r-1)\n-7^0=7^3*(- 7)^(-r+1)\n7^0=7^3*7^(-r+1)\nindexes: \n0=3-r+1\nn=4$
$S_r=a_1 (1-r^n)/(1-r)\nS_r=343* (1- (-(1)/(7) )^4)/(1- (-(1)/(7) ))\nS_r=343* (1- ((1)/(2401) ))/(1+ ((1)/(7) ))\nS_r=343* (((2400)/(2401) ))/(((8)/(7) ))\nS_r=343* (300)/(343) \nS_r=300$
2)
$S= a_(1)* (1- r^(2) )/(1-r)\n S=80*(1- ( -(1)/(2)) ^(2) )/(1+(1)/(2) )\nS=80* (1- (1)/(4) )/( (3)/(2) )=80* (3)/(4)* (2)/(3) =40$
3) we dont know how many numbers has this sequence

Solve 6/7 divided 36/56 and put answer in simplest form A.8/6
B.2/8
C.6/8
D.4/3

Answers

Answer:

Solve $(6)/(7)$ divided $(36)/(56)$ and put answer in simplest form

D. $(4)/(3)$

Step-by-step explanation:

The easily technique for dividing fractions is invert one of the fraction and multiply the fractions. Numerator should be multiplied by the other numerator and denominator should be multiplied by the other denominator after invert one of the fraction.

$(6)/(7)$ ÷ $(36)/(56)=(6)/(7)*(56)/(36)$