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Sever21 [200]
3 years ago
5

The ratio of skiers to snowboarders is 1:2. There are 1250 more snowboarders than skiers. How many skiers and snowboarders are t

here?
Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0
x-number\ of\ skiers\\x+1250-numbers\ of\ snowboarders\\\\\frac{skiers}{snowboarders}=\frac{1}{2}\Rightarrow\frac{x}{x+1250}=\frac{1}{2}\ \ \ \ |cross\ multiply\\\\2x=x+1250\ \ \ \ \ \ |subtract\ x\ from\ both\ sides\\\\x=1250\\\\x+1250=1250+1250=2500\\\\Answer:There\ are\ 1250\ skiers\ and\ 2500\ snowboarders.
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Pls help asapWhich of the q-values satisfy the following inequality?
Taya2010 [7]

Answer:

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4 0
2 years ago
In circle Q with
jonny [76]

Answer:

The minor arc PR is 42 degrees

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The inscribed angle is half that of the arc comprising

so

m\angle PSR=\frac{1}{2}(arc\ PR)

we have

m\angle PSR=21^o

substitute

21^o=\frac{1}{2}(arc\ PR)

arc\ PR=21(2)=42^o

Remember that the minor arc in a circle is less than 180 degrees

therefore

The minor arc PR is 42 degrees

4 0
3 years ago
Automobile mechanics conduct diagnostic tests on 150 randomly selected new cars of particular make and model to determine the ex
Archy [21]

Answer:

\mathbf{Margin\;  of\;  error} =  .0942816

Step-by-step explanation:

Given

Sample size n = 150

Sample proportion {\widehat{(p)} = \frac{42}{150} = 0.28

Confidence interval = \frac{99}{100} = .99

Margin\;  of\;  error = z_{\frac{\alpha }{2}}\sqrt{\frac{{\widehat{(p)}}{(1 - \widehat{p})}}{n}}

\alpha = 1 - confidence interval = 1 - 0.99 = .01

margin\;  of\;  error = z_{\frac{.01 }{2}}\sqrt{\frac{(.28) (1 - 0.28)}{150}    

For 99\% confidence interval

        ( Z = 2.576 )

margin\;  of\;  error = z_{.005 }}\sqrt{\frac{(.28) (1 - 0.28)}{150}                  

margin\;  of\;  error = 2.576\times\sqrt{\frac{(.28) (1 - 0.28)}{150}

                           =  .0942816

8 0
3 years ago
Rocko paid $12.50 for 25 game tickets.
soldi70 [24.7K]

Answer:

The constant of proportionality is 0.5      

Step-by-step explanation:

We are given the following in the question:

Cost of 25 game tickets = $12.50

Cost of 35 game tickets = $17.50

The cost of ticket C(n) is directly proportion to the number of tickets n.

Thus, we can write:

C(n) \propto n\\C(n) = an

where a is the constant of proportionality.

Putting values, we get,

12.50 = 25a\\\\\Rightarrow a = \dfrac{12.50}{25}\\\\\Rightarrow a  = 0.5

Thus, the constant of proportionality is 0.5

3 0
3 years ago
Decrease £15890.23 by 16.5%<br> Give your answer rounded to 2 DP.
just olya [345]

Answer:

£13,268.34

Step-by-step explanation:

16.5% of £15890.23

= 16.5/100 × £15890.23

= 0.165 × £15890.23

= £2,621.88795

Therefore,

£15890.23 - £2,621.88795

= £13,268.34205

Approximate to 2 decimal place

= £13,268.34

8 0
3 years ago
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