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Amanda [17]
2 years ago
10

A metal coin has a volume of 835 mm3 and a mass of 5.67 g. What is the density of the coin?

Mathematics
1 answer:
steposvetlana [31]2 years ago
5 0

Density = Mass (grams) / Volume (cubic cm)

Density = 5.67g / .835 cc

Density = 6.7904191617 g per cc

1 Cubic Centimeter = 1,000 cubic millimeters

Density = 6.79 g / cc = .00679 g / cubic millimeter


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a 12 foot tall building casts on 8 foot long long shadow. how long of a shadow will a 5 foot tall women have
grin007 [14]
This is just a basic proportion. 5/8 = x/12. So the 5 foot tall women would have a 7.5 foot shadow.
7 0
2 years ago
Use a normal approximation to find the probability of the indicated number of voters. In this case assume that 150 eligible vote
alexdok [17]
The number of people who voted follows a binomial distribution with probability of having voted p=0.22 and n=150 subjects, which means the approximating normal distribution should have mean np=33 and standard deviation \sqrt{np(1-p)}\approx5.07.

With the continuity correction, you have

\mathbb P(X
8 0
2 years ago
Suppose that public opinion in a large city is 55% in favor of increasing taxes to support renewable energy and 45% against such
Harman [31]

Answer:

The approximate probability that more than 360 of these people will be against increasing taxes is P(Z> <u>0.6-0.45)</u>

                                              √0.45*0.55/600

The right answer is B.

Step-by-step explanation:

According to the given data we have the following:

sample size, h=600

probability against increase tax p=0.45

The probability that in a sample of 600 people, more that 360 people will be against increasing taxes.

We find that P(P>360/600)=P(P>0.6)

The sample proposition of p is approximately normally distributed mith mean p=0.45

standard deviation σ=√P(1-P)/n=√0.45(1-0.45)/600

If x≅N(u,σ∧∧-2), then z=(x-u)/σ≅N(0,1)

Now, P(P>0.6)=P(<u>P-P</u>   >     <u>0.6-0.45)</u>

                             σ          √0.45*0.55/600

=P(Z> <u>0.6-0.45)</u>

       √0.45*0.55/600

8 0
2 years ago
A researcher evaluates the significance of a multiple-regression equation and obtains an F-ratio with df = 2,24. How many partic
alisha [4.7K]

Answer:

N=27 participants

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

If we assume that we have k independent variables and we have  j=1,\dots,j individuals, we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^n (y_j-\bar y)^2  

SS_{regression}=SS_{model}=\sum_{j=1}^n (\hat y_{j}-\bar y)^2  

SS_{error}=\sum_{j=1}^n (y_{j}-\hat y_j)^2  

And we have this property  

SST=SS_{regression}+SS_{error}  

The degrees of freedom for the model on this case is given by df_{model}=df_{regression}=k=2 where k =2 represent the number of variables.

The degrees of freedom for the error on this case is given by df_{error}=N-k-1=24. Sinc we know k we can find N.

N=24+k+1=24+2+1=27

And the total degrees of freedom would be df=N-1=27 -1 =26

On this case the correct answer would be N=27 participants

6 0
2 years ago
The Dowers make pumpkin pie. If each person wants three slices of pie,and each pie is Cut into 9 slices, how many pies do they n
Anestetic [448]

Answer:

They need to make 5 pies for 15 people.

Step-by-step explanation:

15*3=45 slices of pie in total,

each pie is cut into 9 slices,

45/9=5 pies

5 0
2 years ago
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