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mihalych1998 [28]
3 years ago
13

A game room has a floor that is 120 feet by 75 feet.A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet.Wha

t are the dimensions of the scale drawing
Mathematics
1 answer:
erik [133]3 years ago
8 0
We know,
1 unit : 5 feet

so, 120 ft = (120 / 5) units
                = 24 units
  
        75 ft = (75 / 5) units
                = 15 units

∴ Dimensions of scale drawing is 24 units by 15 units.

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviat
____ [38]

Answer:

The diameter that separates the bottom 9% is 5.02 millimeters.

The diameter that separates the top 9% is 5.2 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.

This means that \mu = 5.11, \sigma = 0.07

Bottom 9%:

The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.

Z = \frac{X - \mu}{\sigma}

-1.34 = \frac{X - 5.11}{0.07}

X - 5.11 = -1.34*0.07

X = 5.02

The diameter that separates the bottom 9% is 5.02 millimeters.

Top 9%:

The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.

Z = \frac{X - \mu}{\sigma}

1.34 = \frac{X - 5.11}{0.07}

X - 5.11 = 1.34*0.07

X = 5.2

The diameter that separates the top 9% is 5.2 millimeters.

6 0
3 years ago
Which statements are true about
seraphim [82]

Answer:well i do know what exaclty what you were reading so i have no clue add a coment about it ill read then answer :)

Step-by-step explanation:


5 0
3 years ago
12 bars of soap for $8.69
Deffense [45]
Wow… how is this a question? .-.
8 0
3 years ago
a circle is divided into 18 equal parts how many degrees is the angle for each part? how many degrees is the angle for 5 parts?
Ket [755]
There are 360 degrees in a circle, and we have 18 pieces, so we need to see how many times 18 goes into 360. We can find this out by dividing.

360/18=20

You can check this by multiplying 20 and 18 (it equals 360)!

So, each fraction of the circle will be 20 degrees.

If you take 5 of these 20 degree pieces, you'll need to multiply them by 20 to see how many degrees they'd be.

You need to multiply by 20 because each piece is 20 degrees, and we need to find how many degrees 5 pieces is. It's the same as doing
20+20+20+20+20! :)

20*5=100. 5 parts will be 100 degrees.


Hope I helped! :)
4 0
3 years ago
Solving for b in this problem
kipiarov [429]

Answer:

b = 3

Step-by-step explanation:

1. Subisitute P, a, and c (P = 41, a = 19, c = 19 ) into the equation:

P = a + b + c -> 41 = 19 + b + 19

2. Combine like terms:

41 = 38 + b

3. Isolate the variable by subtratcing 38 from both sides

41 - 38 = 38 -38 + b -> 3 = b

6 0
3 years ago
Read 2 more answers
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