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3 years ago

Need help with these questions

Mathematics

1 answer:

pochemuha3 years ago

7 0

29) Turns is the ratio of annual amount to average amount.

Cost turns = 57,982.85/15,545 ≈ 3.73

Sales turns = 130,935.60/35,388 ≈ 3.70

30) Consider January of the following year to be month 13.

7/16 to 13/14 is 6 months less 2 days. There are 31 days in July, August, October, and December, so 4 more days than 30 days per month. The total number of days is 6*30 -2 +4 = 182

31) I = Prt = $5380×0.118333×90/360 = $159.16

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Let pn, n = 0,1,2,..., be the probability that an automobile policyholder will file for n claims in a five-year period. the actu

lara31 [8.8K]

P(1 claim) = p/4
P(2 claims) = (p/4)/4 = p/16

You should see that the distribution follows a geometric series with common ratio 1/4.
Sum geometric = (first term) / (1 - common ratio) = p/(1 - 1/4) = 4p/3

But the sum of all the probabilites must equal 1 ----> 4p/3 = 1 ----> p = 3/4

P(2 or more claims) = 1 - P(0 claims) - P(1 claim) = 1 - 3/4 - 3/16 = 1/16

3 0

3 years ago

Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a rand

SOVA2 [1]

Answer:

Question 1:

(a) P(x<60) = 0.9236

(b) P(x>16) = 0.9564

(c) P(16<x<60) = 0.88

(d) P (x>60) = 0.0764

Question 2:

(a) P(x<3) = 0.0668

(b) P(x>7) = 0.0062

(c) P(3<x<7) = 0.927

Step-by-step explanation:

Question 1:

x = no. of mg of porphyrin per deciliter of blood.

μ = 40

σ = 14

(a) We need to compute P(x<60). We need to find the z-score using the normal distribution formula:

z = (x - μ)/σ

P(x<60) = P((x - μ)/σ < (60 - 40)/14)

= P(z < 20/14)

= P(z<1.43)

Using the normal distribution probability table we can find the value of p at z=1.43.

P(z<1.43) = 0.9236

so, P(x<60) = 0.9236

(b) P(x>16) = P(z>(16-40)/14)

= P(z>-1.71)

= 1 - P(z<-1.71)

= 1 - 0.0436

P(x>16) = 0.9564

(c) P(16<x<60) = P((16-40)/14) < x < (60-40)/14)

= P(-1.71 < z < 1.43)

This probability can be calculated as: P(z<1.43) - P(z<-1.71)

P(16<x<60) = 0.9236 - 0.0436

P(16<x<60) = 0.88

(d) P(x>60) = 1 - P(x<60)

we have calculated P(x<60) in part (a) so,

P(x>60) = 1 - 0.9236

P (x>60) = 0.0764

Question 2:

μ = 4.5 mm

σ = 1.0 mm

In this question, we will again compute the z-scores and then find the probability from the normal distribution table.

(a) P(x<3) = P(z<(3-4.5)/1)

= P(z<-1.5)

P(x<3) = 0.0668

(b) P(x>7) = 1 - P(x<7)

= 1 - P(z<(7-4.5)/1)

= 1 - P(z<2.5)

= 1 - 0.9938

P(x>7) = 0.0062

(c) P(3<x<7) = P(x<7) - P(x<3)

we have computed both of these probabilities in parts (a) and (b) so,

P(3<x<7) = 0.9938 - 0.0668

P(3<x<7) = 0.927

6 0

3 years ago

Question 8 (1 point)

AleksandrR [38]

Answer:

solution is x=3

Step-by-step explanation:

$logx-log3=log(x-2)$

apply log property

log a- log b= log a/b

$logx-log3=log(x-2)\\log (\frac{x}{3} )=log(x-2)$

we have log on both sides

so we remove the log and make the arguments equal

$\frac{x}{3} = x-2$

solve for x, multiply whole equation by 3

$x=3(x-2)\\x=3x-6\\x-3x=-6\\-2x=-6\\x=3$

now plug in 3 for x and check

$logx-log3=log(x-2)\\log3-log3=log(3-2)\\0=0$

solution is x=3

8 0

3 years ago

A spinner travels around a circle. The radius is 3 inches. Mike spins the spinner and it travels completely around the circle 5

nignag [31]

Answer:

The spinner travelled 94.2 inches.

Step-by-step explanation:

In order to solve this question we first need to calculate the length of the circle, that is given by the following formula:

length = 2*pi*r

length = 2*3.14*3 = 18.84 inches

Since the spinner revolved around the circle 5 times, the distance travelled by the tip is the length of the circle multiplied by 5, as shown below:

distance = length*5

distance = 18.84*5 = 94.2 inches

The spinner travelled 94.2 inches.

7 0

3 years ago

Read 2 more answers

(3*10)*8=240*(10*8) what is the property

strojnjashka [21]

Answer:

2 + (3 + 4) = (2 + 3) + 4 ⇒2+7 = 5+4.

Step-by-step explanation:

5 0

3 years ago