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Digiron [165]
3 years ago
8

40% change percent to a fraction in lowest term

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

The answer is 2/5 because 100/20 is five and if you add another twenty, you get forty, so it is 2/5.
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The value of n in the inequality 3n + 1 < 7 is
aliya0001 [1]

3n + 1 < 7

Solve:

3n < 6

n < 2

The answer is C.

8 0
3 years ago
A telemarketer is successful at getting people to donate money for her organization in 55% of all calls she makes. She must get
Tems11 [23]
An interesting twist to a binomial distribution problem.

Given:
p=55%=0.55 for probability of success in solicitation
x=4=number of successful solicitations
n=number of calls to be made
P(x,n,p)>=89.9%=0.899  (from context, it is >= and not =, which is almost impossible)

From context of question, all calls are assumed independent, with constant probability of success, so binomial distribution is applicable.

The number of successes, x, is then given by
P(x)=C(n,x)p^x(1-p)^{n-x}where
p=probability of success
n=number of trials
x=number of successesC(n,x)=\frac{n!}{x!(n-x)!}

Here we need n such that
P(x,n,p)>=0.899
given
x>=4, p=0.55, which means we need to find

Method 1: if a cumulative binomial distribution table is available, we can look up n=9,10,11 and find
P(x>=4,9,0.55)=0.834
P(x>=4,10,0.55)=0.898
P(x>=4,11,0.55)=0.939
So she must make (at least) 11 calls to make sure the probability of meeting her quota is 89.9% or more.

Method 2: using technology.
Similar to method 1, we can look up the probabilities directly, for n=9,10,11
P(x>=4,9,0.55)=0.834178
P(x>=4,10,0.55)=0.8980051
P(x>=4,11,0.55)=0.9390368

Method 3: using simple calculator
Here we need to calculate the probabilities for each value of n=10,11 and sum the probabilities of FAILURE S=P(0,n,0.55)+P(1,n,0.55)+P(2,n,0.55)+P(3,n,0.55)
so that the probability of success is 1-S.
For n=10,
P(0,10,0.55)=0.000341
P(1,10,0.55)=0.004162
P(2,10,0.55)=0.022890
P(3,10,0.55)=0.074603
So that
S=0.000341+0.004162+0.022890+0.074603
=0.101995
and Probability of getting 4 successes (or more) 
=1-S
=0.898005, missing target by 0.1%

So she will have to make 11 phone calls, bring up the probability to 93.9%.  The work is similar to that of n=10.
8 0
3 years ago
What's the value of given expression <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B22%20%5Ctimes%2022%7D%20" id="TexFormula
scZoUnD [109]

Answer:

22

Step-by-step explanation:

square root of a number multiple by the himself give you the value

so square root of 22 x 22 = 22

5 0
3 years ago
Read 2 more answers
True or false? If two triangles are congruent, then they can be moved so that
Elena-2011 [213]

Answer:

This is true.

Congruent triangles have the same shape and the same size. So, you can position them so that one is superimposed (line up perfectly) on the other.

4 0
3 years ago
Read 2 more answers
How to work the problem 44,756÷167
lina2011 [118]
44, 756/ 167 = 0. 268
8 0
3 years ago
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