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Angelina_Jolie [31]
3 years ago
9

Changing Dimensions of 3-D Figures

Mathematics
1 answer:
Leni [432]3 years ago
4 0

The prisms are congruent if the lengths of corresponding edges are in a 1:1  ratio, the volumes and the base areas are equal and the prisms have same height                                                                                                                                  

Step-by-step explanation:

For the two prisms to be congruent the following properties should hold TRUE

The lengths of corresponding edges are in a 1:1  ratio.

The volumes are equal.

The base areas are equal.

The prisms have the same height.  

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Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=4/3 x
Mrac [35]

Answer:

y=\frac{3}{4}x-1

Step-by-step explanation:

Since we're looking at perpendicular lines, the slope of the new line is the reciprocal of the original line.

So the slope of our new line is \frac{3}{4}

So far, we are looking at y=\frac{3}{4} x+b

Now we need to find the b value by plugging in the given point.

2=\frac{3}{4}(4)+b\\  2=3+b\\ b=-1

So the final equation is y=\frac{3}{4}x-1

8 0
3 years ago
Which one is the answer for these qution 4x=5(9x+2)<br> A)5/2<br> B)41/10<br> C)-10/41<br> D)10/41
stealth61 [152]
C. -10/41

First use the distributive property to get 4x = 45x + 10
Use subtraction on both sides by 10
Again use subtraction of 4x on both sides
You now have -10 = 41x
Use division to get x alone and you now have -10/41 = x
5 0
3 years ago
Consider the probability that exactly 20 out of 309 people will get the flu this winter. Choose the best description of the area
noname [10]

Answer:

The distribution of proportion of people who will get the flu this winter is <em>N</em> (0.065, 0.014²).

Step-by-step explanation:

Let <em>X</em> = number of people who will get flu this year.

The sample selected is of size, <em>n</em> = 309.

The number of people who will get flu in this sample is, <em>x</em> = 20.

Compute the sample proportion of people who will get flu as follows:

p=\frac{x}{n}=\frac{20}{309}=0.065

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 309 and <em>p</em> = 0.065.

The sample size is quite large, i.e. <em>n</em> = 309 > 30.

And the probability of success is low.

So the Normal approximation to Binomial can be used to approximate the distribution of sample proportion is:

  1. np ≥ 10
  2. n(1 - p) ≥ 10

Check whether the conditions are fulfilled or not as follows:

np=309\times 0.065=20.085>10\\n(1-p)=309\times (1-0.065)=288.915>10

Hence, the conditions are fulfilled.

The sampling distribution of sample proportion is:

p=N(p, \frac{p(1-p)}{n})

Compute the mean and variance as follows:

Mean=p=0.065\\Variance=\frac{p(1-p)}{n}=\frac{0.065(1-0.065)}{309}=0.014^{2}

Thus, the distribution of proportion of people who will get the flu this winter is <em>N</em> (0.065, 0.014²).

6 0
3 years ago
If g(x) = 4x - 3 and h(x) = -4x, what is g(5) + h(3)?
elena55 [62]

Answer:

g(5) + h(3) = 5

Step-by-step explanation:

g(5)

g(5) = 4(5) - 3\\\rule{150}{0.5}\\g(5) = 20 - 3\\\\\boxed{g(5)=17}

h(3)

h(3) = -4(3)\\\rule{150}{0.5}\\\boxed{h(3) = -12}

g(5) + h(3)

17 + -12\\\rule{150}{0.5}\\17 - 12\\\\\boxed{5}

Hope this helps.

3 0
2 years ago
Of the songs in joseph collection, 11/23 are country songs. of these country songs, 3/4 are by male artists. what fraction of jo
Stells [14]

Answer:

75%

Step-by-step explanation:

I think this is right! Have a nice day!

5 0
3 years ago
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