MATHEMATICS HIGH SCHOOL

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction.A. 4/10
B. 2/5
C. 42/48
D. 245/1152

Answers

Answer 1
Answer: the answer is B.2/5
flip 35/48 so it looks like this 48/35 then chance the divide symbol and put the multiply symbol 7*48=336, and 24*35=840. your answer is 336/840 then simply reduce to get 2/5. 
Answer 2
Answer:   7          35
------  ÷  --------  =  ?
 24         48

 48
------
 35 

  7         48        
------- × -------- 
  24       35 

7 × 48 = 336

24 × 35 = 840

 336        2
-------- =  -------
 840        5

SO, Your answer would be B. 2/5.

  7        35        2
------  ÷ ------- = -------  (Simplest Form) 
 24        48       5

Hope I helped:P

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Among the 10 most popular sports, men include competition-type sports - pool and billiards, basketball, and softball - whereas women include aerobics, running, hiking, and calisthenics. However, the top recreational activity for men was still the relaxing sport of fishing, with 41% of those surveyed indicating that they had fished during the year. Suppose 180 randomly selected men are asked whether they had fished in the past year. Suppose 180 randomly selected men are asked whether they has fished in the past year.a. What is the probability that fewer than 50 had fished?
b. What is the probability that between 50 and 75 (inclusive) had fished?
c. If the 180 men selected for the interview were selected by the marketing department of a sporting-goods company based on information obtained from their mailing lists, what would you conclude about the reliability of their survey results?

Answers

Answer:

(a) The probability that fewer than 50 had fished is 0.0002.

(b) The probability that between 50 and 75 (inclusive) had fished is 0.6026.

(c) The survey results are not reliable.

Step-by-step explanation:

Let X = number of men who had fished during the year.

The probability of the random variable X is, p = 0.41.

A random sample of n = 180 men are selected.

The random variable X follows a Binomial distribution with parameters n = 180 and p = 0.41.

A Normal approximation to Binomial is applied when the following conditions are met,

  1. np ≥ 10
  2. n(1 - p) ≥ 10

Check:

np=180*0.41=73.8>10\nn(1-p)=180* (1-0.41)=63.72>10

Thus, the distribution of x can be approximated by a Normal distribution with:

Mean = np=180*0.41=73.8

Standard deviation = √(np(1-p))=√(180*0.41*(1-0.41))=6.599

(a)

Compute the probability that fewer than 50 had fished as follows:

P(X<50)=P((X-\mu)/(\sigma)>(50-73.8)/(6.599))\n=P(Z<-3.61)\n=1-P(Z<3.61)\n=1-0.9998\n=0.0002

Thus, the probability that fewer than 50 had fished is 0.0002.

(b)

Compute the probability that between 50 and 75 (inclusive) had fished as follows:

P(50\leq X\leq 75)=P(49.5<X<75.5)\n=P((49.5-73.8)/(6.599)<(X-\mu)/(\sigma)<(75.5-73.8)/(6.599))\n=P(-3.68<Z<0.26)\n=P(Z<0.26)-P(Z<-3.68)\n=0.6026-0\n=0.6026

Thus, the probability that between 50 and 75 (inclusive) had fished is 0.6026.

(c)

If the sample of 810 men are selected from mailing list then it is highly probable that the sample is not a representative of the true population, i.e. sports men.

Because the people interested in sports are less likely to be interested in fishing.

Thus, it could be concluded that the survey results are not reliable.

Which value of x makes the open sentence true?
5x – 6 = x + 12

Answers

The way we approach a problem like this is by using a technique called "collecting like terms".
This means that we want to put all of the values with an "x" on one side and all of the normal numbers on the other. For this particular problem we can do this as follows:
5x - 6 = x + 12
Now move the (- 6) to the right side of the equation by adding 6 to both sides:
=> 5x = x + 12 + 6
Now move the (x) to the left side of the equation by subtracting (x) from both sides:
=> 5x - x = 12 + 6
Now perform the simple arithmetic on both sides:
=> 4x = 18
Now remove the 4 from in front of the (x) by multiplying the whole equation by (1/4)
=> x = 18/4
Therefore to make your open sentence true, x must equal 18/4, or to simplify, 9/2, or as a decimal, 4.5. I hope this helped, and remember to try and understand not just the answer, but the maths involved in getting to the answer too :))

Which angle forms a vertical pair with nsm a.osl b.smn c.snm d.osn

Answers

Answer:  Option 'a' is correct.

Step-by-step explanation:

Since we have given that  ∠NSM,

we need to find is vertical angles of ∠NSM,

1) ∠OSL is a vertical angle of ∠NSM as it has one common vertex and all other are collinear points.

2) ∠SMN can't be vertical angle as  vertical angles must be equal at common vertex but it does not do that it forms angle on M rather than on S.

3) ∠SNM can't be vertical angles as vertical angles must be equal at common vertex but it does not do that it forms angle on N rather than on S.

4) ∠OSN can't be vertical angle as vertical angles must have only one common vertex but in this case it has two common vertex i.e. S and N. so it will be linear pair.

Hence, Option 'a' is correct.

An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range?

Answers

0 to π/2 radians i might be wrong but i tried helping

Answer:

The first option 0 to π/2 radians

Step-by-step explanation:

X varies directly as the cube root of y .x=6when y=8.Find the value of x when y=64.

Answers

Answer:

The value of x is 12.

Step-by-step explanation:

Given that x is directly proportional to y so the expression will be x=k(³√y)where k is the constant. First, you have to find the value of k :

x = k \: (\sqrt[3]{y} )

let \: x = 6,y = 8

6 = k \: (\sqrt[3]{8} )

6 = k(2)

k = 3

Next, you have to find the value of x, by substituting y = 64 into the expression :

x = 3 \: ( \sqrt[3]{y} )

x = 3( \sqrt[3]{64} )

x = 3(4)

x = 12

 how many different 10 letter words (real or imaginary) can be formed from the following letters?

K,Y,T,G,W,C,Y,D,A,A

Answers

    The # of ten letters words that can be formed   =       10! =   907,200                                                                                             2!2!    factorial    10! means      >      10 . 9 .8 .7 .6 .5 .4 .3 .2 .1     hench there are     907,200 ways



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