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qwelly [4]
3 years ago
10

The whitish distance across the scale model of the planet Venus is 15 cm. The actual widest distance across Venus is approximate

ly 12,000 km. What is the scale of the Model of Venus
Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0

Answer:

  1 cm : 800 km   or   1/80,000,000

Step-by-step explanation:

A model or map scale is often expressed as ...

  (1 unit of A on the model) : (N units of B in the real world)

We're given the relative measurements as ...

  15 cm : 12,000 km

Dividing by 15 gives the unit ratio as above:

  1 cm : 800 km

__

A scale can also be expressed as a unitless fraction. To find that, we need to convert the units of both parts of this ratio to the same unit.

  0.01 m : 800,000 m

Multiplying by 100, we get ...

  1 m : 80,000,000 m

Since the units are the same, they aren't needed, and we can write the scale factor as ...

  1 : 80,000,000   or   1/80,000,000

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On days 1 and 2 how much blue paint did Marc use? How much yellow paint?
Varvara68 [4.7K]
0 cause there is no yellow paint there is only blue paint
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Read 2 more answers
Plane AXS intersects with which planes? More than 1 answer.
Nata [24]

Answer:

Options A and Option B

Step-by-step explanation:

All four sides AX, IX, IS and AS of the base are common in the four side walls of the prism.

In other words, edge AX is common in planes AXU and AXS,

Edge XI is common in planes XIB and AXS,

Edge SI is common in planes EBS and AXS,

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Therefore, plane AXS is intersecting planes AXU and EBS.

Options A and Option B are the correct options.

8 0
3 years ago
32​% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a
Tems11 [23]

Answer:

a) P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

b) P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

c) P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.32)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

Part b

P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]

P(X=0)=(10C0)(0.32)^0 (1-0.32)^{10-0}=0.0211  

P(X=1)=(10C1)(0.32)^1 (1-0.32)^{10-1}=0.0995

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

Part c

P(2 \leq x \leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

P(X=3)=(10C3)(0.32)^3 (1-0.32)^{10-3}=0.264

P(X=4)=(10C4)(0.32)^4 (1-0.32)^{10-4}=0.218

P(X=5)=(10C5)(0.32)^5 (1-0.32)^{10-5}=0.123

P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816

6 0
3 years ago
Number A is 5342. Number B is 11124 greater than A. Number C is 3104 less than B. What is the total value of numbers A,B and C?
Leni [432]

Answer:

B - 16466

C - 13362

total value - 35170

Step-by-step explanation:

to find B add 11124 to 5342 (11124+5342=16466)

to find C subtract 3104 from 16466 (16466-3104=13362)

total value - add them all together

5 0
3 years ago
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