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Veronika [31]
3 years ago
9

6 Jenna bought n notebooks which cost 5 dollars each, and 3 pens which cost r dollars each. How much money did she spend?

Mathematics
1 answer:
lana66690 [7]3 years ago
8 0
The answer should be 5n+3r
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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
PLEASE HELP ILL GIVE BRAINLIEST
Art [367]

Answer: 10

Step-by-step explanation:

count the dots from number 2 and below

6 0
2 years ago
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Slope of the linear equation 4x = 2y - 3 is ____.
Anettt [7]

Answer:

4

Step-by-step explanation:

we want y = mx + b

4x = 2y - 3

-2y = -4x - 3

2y = 4x - 3

therefore the gradient (slope) = the coeffecient of x, which in this case is 4

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You need to make at least 360 wraps for a party. You can make 9 wraps per minute. How long will it take you to make the number o
saveliy_v [14]

Answer:

40

Step-by-step explanation:

im not 100% sure, but I think it's 40

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Please answer and show your work its "Pythagorean Theorem Word Problems" the first one is answered to show how you will be answe
Kazeer [188]

Answer:

I hope the answers are right. Most of them should be though

Step-by-step explanation:

Download pdf
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2 years ago
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