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hram777 [196]
3 years ago
9

A particular model rocket kit uses the scale 1:144. The actual rocket is 168 ft tall. How tall will the model rocket be when com

pleted? PLZ PLZ HELP
Mathematics
1 answer:
Svetlanka [38]3 years ago
7 0
Our basis is the given ratio of 1:44. The actual rocket is obviously larger than the model rocket. Thus, it means that for every 44 ft of the actual rocket, the scale of the model rocket would be 1 ft. Through ratio and proportion, the solution is as follows:

1/44 = x/168
x = 3.818 ft

<em>The height of the model rocket, is approximately 3.8 ft.</em>
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In a clinical study, volunteers are tested for a gene that has been found to increase the risk for a disease. The probability th
MrRa [10]

Answer:

a) 0.984

b) 20 people

Step-by-step explanation:

a)

If The probability that a person carries the gene is 0.1, then in a sample of 20 people, 2 should carry the gene.

Now, we want to know how many samples there are with this property.

Since we have 20 elements where 18 are alike (do not carry the gene) and 2 are alike (carry the gene), we have to compute the number of permutations of 20 elements in which 18 are alike and 2 are alike. This number is

\frac{20!}{18!2!}=190

In this 190 20-tuples there are only 3 where the 2 carriers of the gene are in the first 3 places, namely

(1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

(1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

(0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

where 1=carries the gene, 0=does not carry the gene.

So there are 190-3 = 187 elements in which the first 3 elements have no 2 carriers, hence the probability that 4 or more people will have to be tested until 2 of them with the gene are detected is 187/190 = 0.984 (98.4%) rounded to three decimal places.

b)

Given that the probability that a person carries the gene is 0.1, then in a sample of 20 people, 20*0.1 = 2 should carry the gene.

4 0
3 years ago
A car of 1000 kg starts to move from rest and travels a distance of 150 m in 10 second. How much force is needed?​
allsm [11]
  • Initial velocity=u=0m/s
  • Distance=s=150m
  • Time=t=10s
  • Acceleration=a

Using second equation of kinematics

\\ \sf\longmapsto s=ut+\dfrac{1}{2}at^2

\\ \sf\longmapsto 150=0(10)+\dfrac{1}{2}a(10)^2

\\ \sf\longmapsto 150=\dfrac{1}{2}\times 100a

\\ \sf\longmapsto 50a=150

\\ \sf\longmapsto a=\dfrac{150}{50}

\\ \sf\longmapsto a=3m/s^2

  • Mass=m=1000kg
  • Force=F

Using newtons second law

\\ \sf\longmapsto F=ma

\\ \sf\longmapsto F=1000(3)

\\ \sf\longmapsto F=3000N

3 0
2 years ago
I need help with all of it ...
erastovalidia [21]
1)
36/3 x 42/3 = 12yd x 14yd

12×14=168

you will need 168 square yards to recarpet the kindergarten.


2)
168×24.99=4198.32

it will cost $4198.32 to recarpet the kindergarten.


3)
3.5 is 35% of 10

4198.32÷3.5=1198.52

they will need to sell 1199 coupon books to completely pay for the the recarpeting.
6 0
3 years ago
What is the perimeter of the triangle expressed as a polynomial?
ratelena [41]
Add the polynomials together:
(5x-2)+(2x-3)+(4x+3)
Combine like terms:
(5x+2x+4x) + (-2+-3+3) = 11x-2

So the answer is D.
8 0
3 years ago
Put this into Slope Intercept Form<br> x + 6y = –6
mel-nik [20]

Answer:

y=-\frac{x}{6} -1

Step-by-step explanation:

Hi there!

We are given the following equation:
x+6y=-6

And we want to convert it into slope-intercept form

Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept

The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients

Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side

So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y

Here is our equation again:

x+6y=-6

Start by subtracting x from both sides

x+6y=-6

-x       -x

_______________

6y=-x-6

Now divide both sides by 6

y=-\frac{x}{6} -\frac{6}{6}
We can simplify the fractions to become:

y=-\frac{x}{6} -1
Hope this helps!

See more on converting from standard to slope-intercept form here: brainly.com/question/26579052

6 0
2 years ago
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