1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ValentinkaMS [17]
3 years ago
15

A bridge 48m tall.a scale model of the bridge 37cm long and 12cm tall .how long is the actual bridge .

Mathematics
1 answer:
Roman55 [17]3 years ago
6 0
\frac{48m}{x}=\frac{37cm}{12cm}

37x=48*12

37x=576

x=<span>15.57m long.

The bridge is about 16 meters long.
</span>
You might be interested in
Determine the solution for the equation.
Ilya [14]
Answer:
2^4=16
Hope i helped
6 0
3 years ago
Given the equation and solution , find the missing coefficient.
Serggg [28]
-6x + 7 = 8x + A

let x = -4
-6(-4) + 7 = 8(-4) + A
24 + 7      = -32 + A
31 + 32    = -32 + 32 + A
63            = 0 + A
A = 63
6 0
3 years ago
The amount of money spent on textbooks per year for students is approximately normal.
Ostrovityanka [42]

Answer:a

a

   336.04    <  \mu < 443.96

b

  The  margin of error will increase

c

The  margin of error will decreases

d

The 99% confidence interval is  0.4107 <  p  < 0.4293

Step-by-step explanation:

From the question we are  told that

   The sample size  n =  19

    The sample mean is  \= x  = \$\  390

    The  standard deviation is  \sigma =  \$ \  120

 

Given that the confidence level is  95% then the level of significance is mathematically represented as

           \alpha = 100 -  95

          \alpha  =  5 \%

          \alpha  =  0.05

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table

    So  

         Z_{\frac{\alpha }{2} } =  1.96

The  margin of error is mathematically represented as

      E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>    E = 1.96 *  \frac{120}{\sqrt{19} }

=>   E = 53.96

The 95% confidence interval is  

     \= x  -  E  <  \mu < \= x  +  E

=>   390  -   53.96   <  \mu < 390  -   53.96

=>  336.04    <  \mu < 443.96

When the confidence level increases the Z_{\frac{\alpha }{2} } also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

         n  \  \ \alpha  \ \  \frac{1}{E^2 }

So if the sample size increases the margin of error decrease

The  sample proportion is mathematically represented as

       \r p  =  \frac{210}{500}

       \r p  = 0.42

Given that the confidence level is 0.99 the level of significance is  \alpha =  0.01

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

      Z_{\frac{\alpha }{2} }  =  2.58

  Generally the margin of error is mathematically represented as

       E =  Z_{\frac{\alpha }{2} }*  \sqrt{ \frac{\r p (1- \r p )}{n} }

=>   E =  0.42 *  \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }

=>     E =  0.0093

The 99% confidence interval  is

     \r p  -  E <  p  < \r p  +  E

     0.42  -  0.0093 <  p  < 0.42  +  0.0093

     0.4107 <  p  < 0.4293

 

4 0
4 years ago
Can someone help me with this please??
lana66690 [7]
So start with the top one and end w the bottom
6 0
2 years ago
For the functions f(x) = 5x − 3 and g(x) = x + 4, which composition produces the greatest output?
Zina [86]
You could actually find the compositions and thus have something to compare.  You haven't shared the list of possible answer choices.

(f+g)(x) = 5x - 3 + x + 4 = 6x + 1

(f-g)(x) = 5x - 3 - x - 4 = 4x - 7

(f*g)(x) = (5x-3)((x+4) = 5x^2 + 20x - 3x - 12 = 5x^2 + 17x - 12

There are also the quotient (f/g)(x) and the compositions f(g(x)) and g(f(x)).

WRite them out.

Then you could arbitrarily select x values, such as 2, 10, etc., subst. them into each composition and determine which output is greatest.

7 0
4 years ago
Other questions:
  • What is the area of the backyard without the garden?
    8·1 answer
  • Need help on number 4 and 11 pleaseee!!! I need it as soon as possible
    9·1 answer
  • The ages of the members of a gym have a mean of 4747 years and a standard deviation of 1111 years. what can you conclude from​ c
    6·1 answer
  • A painter charges $40 an hour plus a 10% fee if he works weekend hours. If you hire the painter for 6 hours on Saturday, how muc
    10·2 answers
  • Solve the equation by factoring: x2 − 7x + 12 = 0
    5·1 answer
  • A fair coin is tossed 10 times. What is the probability that two heads do not occur consecutively?
    12·1 answer
  • ILL GIVE BRAINLIEST!!!!
    12·1 answer
  • 2x^{3} -34x^{2} +131x+11
    10·1 answer
  • The sum of seven and the quotient of a number x and 8
    13·1 answer
  • I need to know the intercepts for y and x ASAP!!!!!!!<br> f(x) = -8x + 4 is the equation
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!