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Olegator [25]
2 years ago
10

10) The scale of a map is 1 inch represents 4 miles. How many miles does 0.5 inches represent?

Mathematics
2 answers:
scoundrel [369]2 years ago
7 0

Answer:

2 miles

Step-by-step explanation:

1 in=4miles

0.5 in=2miles

so divide by two on each side

Darina [25.2K]2 years ago
7 0
Proportion

We know that 1/0.5 = 2

We divide 4/2 = 2

0.5 inches = 2 miles
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Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviatio
katrin2010 [14]

Answer: a)  79.10 %           b) 7%                c)19.85 %

Step-by-step explanation:

a) Z = ( × - μ ) ÷ σ           Where  μ mean of population σ standard               deviation Z is the abscissa to give the area or probability we are looking for associated to the value 10 ounces ( × )

So:  Z = ( 10 - 9 ) ÷ 1.2  ⇒ Z = 1/1.2 ⇒   Z = 0.83  it has to be below this value

From Z tables we get  P [ Z ≤ 0.82 ] = 0.7910  0r  79.10 %

b) Following the same procedure: We look for

P [ Z > ( x - μ ) ÷   σ ]    ⇒   Z  =  ( 12 -10 ) ÷ 1.2  = 2.5

From Z table we get the area under the curve from the left tail up to the point Z < 2.5 ( 2.5 not included) but we were asked for the area out of that previous so 1- 0.9930 = 0.007 is the area we are looking for

So P (b) = 0.007  or 7 %

Finally between the two points above mentioned ( 10 ≤  Z  ≤ 12 ) we use the previous values (taking in consideration the limits, according to the problem statement )

Z ≤ 10     Z ⇒( 10-9  ) ÷ 1.2   Z = 0.7967

Z ≥ 12     Z ⇒ ( 12 - 9 ) ÷ 1.2  Z = 0.9952

The interval is between these two points

0.9952 - 0.7967 = 0.1985   ⇒ or 19.85 %

The attached help in the understanding of the solution

                               

5 0
3 years ago
Solve for A, need this done in under a half hour please ;-;
jasenka [17]

Answer:

x=30, and angle A equals 132°.

Step-by-step explanation:

Since the angles are alternate-interior, both angles A and B equal the same amount. To figure out the value of <em>x</em>, you'd need to set up your equation like this:

5x-18°=3x+42°

You would need to solve for <em>x</em>, which should equal to 30.

Once you get your <em>x</em>, you need to plug it in into the equation of angle A, which is 5x-18°:

5(30)-18°

150-18°

Angle A = 132°.

3 0
3 years ago
The sum of an infinite geometric series is 1,280, while the first term of the series is 160. What is the common ratio of the ser
Arlecino [84]
The sum is 160/(1-r)=1280 where r is the common ratio,
1/(1-r)=1280/160=8
Inverting we get 1-r=1/8, r=7/8.
7 0
3 years ago
1+1<br> Need help to hard
Basile [38]
I believe the correct answer is 2.
5 0
3 years ago
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The ratio of orange crayons to purple crayons is 2/4if there are 64 orange crayons the box how many purple crayons are there in
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2/4=1/2 two is 2 times greater than one so what is two times greater that 64?

64x2=128

6 0
3 years ago
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