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Amanda [17]
3 years ago
14

Tori is cutting fabric squares to make a quilt. Her squares on average are 5 in. on each side with a standard deviation of 0.1 i

n. If her cuts are normally distributed, what percentage of her squares would be between 4.9 and 5.1 in?
Mathematics
2 answers:
lapo4ka [179]3 years ago
5 0

Answer:

\approx 68\%

Step-by-step explanation:

For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence \implies \boxed{68\%}.

*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.

babymother [125]3 years ago
4 0

Answer:

  • 68.26%

Step-by-step explanation:

<u>Given:</u>

  • Mean μ = 5 in
  • Standard deviation σ = 0.1 in

<u>The squares between 4.9 and 5.1 represent:</u>

  • x = 5 ± 0.1

<u>Relevant z- scores are:</u>

  • z = (x - μ)/σ
  • z = (5.1 - 5)/0.1 = 1
  • z = (4.9 - 5)/0.1 = -1

<u>From the z-score table we get:</u>

  • z = 1 ⇒ 84.13% mark
  • z = -1 ⇒ 15.87% mark

<u>The data between these points is:</u>

  • 84.13% - 15.87% = 68.26%

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A toy rocket is launched from a platform that is 48 ft high. The rocket height above the ground is modeled by h=-16t^2+32t+48. a
Komok [63]

Answer:

a) 64 feet

b)  3 seconds

Step-by-step explanation:

a)

The maximum height of h=h(t) can be bound by finding the y-coordinate of the vertex of y=-16x^2+32x+48.

Compare this equation to y=ax^2+bx+c to find the values of a,b,\text{ and } c.

a=-16

b=32

c=48.

The x-coordinate of the vertex can be found by evaluating:

\frac{-b}{2a}=\frac{-32}{2(-16)

\frac{-b}{2a}=\frac{-32}{-32}

\frac{-b}{2a}=1

So the x-coordinate of the vertex is 1.

The y-coordinate can be found be evaluating y=-16x^2+32x+48 at x=1:

y=-16(1)^2+32(1)+48

y=-16+32+48

y=16+48

y=64

So the maximum height of the rocket is 64 ft high.

b)

When the rocket hit's the ground the height that the rocket will be from the ground is 0 ft.

So we are trying to find the second t such that:

0=-16t^2+32t+48

I'm going to divide both sides by -16:

0=t^2-2t-3

Now we need to find two numbers that multiply to be -3 and add to be -2.

Those numbers are -3 and 1 since (-3)(1)=-3 and (-3)+(1)=-2.

0=(t-3)(t+1)

This implies we have either t-3=0 or t+1=0

The first equation can be solved by adding 3 on both sides: t=3.

The second equation can be solved by subtracting 1 on both sides: t=-1.

So when t=3 seconds, is when the rocket has hit the ground.

5 0
3 years ago
There are 92 students on the bus. 43 are girls and the rest are boys. At the stop along route, half of the students exit the bus
ludmilkaskok [199]
92 students were on the bus and half left
so thats 92/2 and you get 46
46 students were left on the bus

Hope this helps! :))
6 0
3 years ago
I Need Help Pwease :-&gt;<br> ******************************
MissTica

Answer:

Area: 135 ft^2

Perimeter: 50 ft

Step-by-step explanation:

area:

take the rectanle so length 12 x 9 = 108 so that is the length of the rectangle and now we need to find that of the triangle left over

subract 18 - 12 = 6 so that is the base of the trianle and we know the side length is 9 so plus it in A = (9)(6)/2

A = 54/2

A = 27

add 27 + 108 to get the total area

135

perimeter:

18 + 9 + 11 + 12 = 50

5 0
3 years ago
Read 2 more answers
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KIM [24]

Answer:

x=-1 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

3 0
2 years ago
3. A warehouse holds 7,140 shoeboxes. Each aisle holds the same number of
s2008m [1.1K]

Answer:

1) b, c, d

2) d

3) a, c, d

Step-by-step explanation:

Just find the number that can divide by the whole. Say the question was

A pet shop have 20 pets. The same amount of pets are in each room. How many rroms could there be?

If there were 4 rooms, 5 pets would be in each. 20÷4=5. 4 goes into 20 so 4 could be an answer.

If there were 3 rooms, 6 rooms would have 3 pets and 2 would be left over. So it wouldn't work. You just need to find the number that goes into the whole with no remainder.

4 0
3 years ago
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