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Oksanka [162]
2 years ago
9

Estimate the sums and difference of 38.12 + 12.24 and round to the nearest tenth

Mathematics
1 answer:
Alinara [238K]2 years ago
7 0

Answer:

50.4

Step-by-step explanation:

38.12 + 12.24 = 50.36

6 is near 10

50.36 = 50.4

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How can i solve this?
Amanda [17]

The volume of a pyramid with known base area and height is 1/3 of the volume of a box with those same dimensions. So

64=\dfrac{8\cdot4\cdot x}3\implies32x=192\implies\boxed{x=6}

7 0
3 years ago
A rectangular prism has a top face with an area of 20 ft2 and a height of 5 ft. What is the volume of this rectangular prism? Th
kkurt [141]

Answer:

the volume of the rectangular prism is 100 ft³  

Step-by-step explanation:

Given;

area of top face of a rectangular prism, A = 20 ft²

height of the rectangular prism, h = 5 ft

Volume of the rectangular prism =  Area of top face x height of the rectangular prism

Volume of the rectangular prism = A x h

Volume of the rectangular prism = 20 ft² x  5 ft

                                                       = 100 ft³

Therefore, the volume of the rectangular prism is 100 ft³                                      

6 0
2 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
Write 58 1/2 in radical form
Natalija [7]
58^(1/2) is √58 if that is what you meant
4 0
3 years ago
Tom and jasper have the same percentage of blue marbles in their bags of marble tom has 5 blue marbles and 20 total marbles jasp
Lesechka [4]
8 of them are not blue
6 0
2 years ago
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