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dedylja [7]
3 years ago
6

On a​ map, 1 inch equals 25 miles. If two cities are 7 inches apart on the​ map, how far are they actually​ apart?

Mathematics
2 answers:
julia-pushkina [17]3 years ago
6 0

Answer:

175 miles

Step-by-step explanation:

7 x 25

Paladinen [302]3 years ago
3 0

Answer:

150 miles apart

Step-by-step explanation:

6×25=150 miles

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You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on con
Naddika [18.5K]

Answer:

The sample size is    n = 68

Step-by-step explanation:

From the question we are told that

    The margin of error is  E = 5 \ years

     The standard deviation is  \sigma = 22

From the question we are told the confidence level is  94% , hence the level of significance is    

      \alpha = (100 - 94 ) \%

=>   \alpha = 0.06

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.881

Generally the sample size is mathematically represented as  

   n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>  n = [\frac{1.881 } *  22 }{5} ] ^2

=>  n = 68

8 0
3 years ago
A square pyramid and a cube have the same surface area. The length of each side of the base of the square pyramid is 10 feet. Th
Brrunno [24]

Answer:

The answer to your question is 23.2 ft

Step-by-step explanation:

Data

length square pyramid = 10 ft

width of a cube = 6 ft

height of the pyramid = ?

The surface area is equal in both figures.

Formula

Surface area of a cube = 6a²

Surface area of a square pyramid = ab + al = l x l + (l x h) /2

Process

1.- Calculate the surface area of the cube

           Ac = 6(6)² = 6(36)

                            = 216 ft²

2.- Substitute data in the square pyramid formula

           Ap = (10 x 10) + (10h)/2

3.- Equal both areas

               216 = 100 + 5h

- Solve for h

               216 - 100 = 5h

                         116 = 5h

                          h = 116 / 5

- Result

                          h = 23.2 ft                          

5 0
3 years ago
Find the values of x on the interval [−π, π] where the tangent line to the graph of y = sin(x) cos(x) is horizontal. (Enter your
Lady_Fox [76]
A trig identity is <span>asinucosu=<span>a/2</span>sin(2u)</span>So you can write your equation as<span>y=sin(x)cos(x)=<span>1/2</span>sin(2x)</span>Use the crain rule here<span><span>y′</span>=<span>d/<span>dx</span></span><span>1/2</span>sin(2x)=<span>1/2</span>cos(2x)<span>d/<span>dx</span></span>2x=cos(2x)</span>The curve will have horizontal tangents when y' = 0.<span><span>y′</span>=0=cos(2x)</span>On the interval [-pi, pi], solution to that is<span><span>x=±<span>π4</span>,±<span><span>3π</span>4</span></span></span>
6 0
3 years ago
Read 2 more answers
What is the value of x in the figure below
kari74 [83]
Answer: X=30



Hope that helped!!!
8 0
3 years ago
A rope is 225 centimeters long.
n200080 [17]

Answer:

This is impossible, unless you meant centimeters. If you did, then the answer would be 113.

Step-by-step explanation:

225 - 112 = 113.

8 0
3 years ago
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