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Solnce55 [7]
3 years ago
13

I need help with this question

Mathematics
1 answer:
tia_tia [17]3 years ago
3 0

Answer:

98 in.^2

Step-by-step explanation:

The lateral area is the sum of the areas of the 3 rectangular sides.

The triangular sides are the bases.

lateral area = 7.2 in. * 5 in. + 3 in. * 5 in. + 9.4 in. * 5 in.

lateral area = 36 in.^2 + 15 in.^2 + 47 in.^2

lateral area = 98 in.^2

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Can you fill the blank space; 19=8, 6=3, 70=7, 8=5, 4=4, 60=5, 15=7, 16=? 17=?<br><br>​
Inga [223]

Answer:

7

9

Step-by-step explanation:

key is the number of letters in each word

  • 16= sixteen= 7 letters
  • 17= seventeen= 9 letters

3 0
3 years ago
Identify the solution set of the given inequality using the given replacement set.   x &gt; –4; {–8, –4.3, –4 –3.8, 1.2, 3}  
Dovator [93]
<span>x> -4 means that it is needed to find all the values that are greater than -4 "not including" -4 ... for negative values as you get from zero the values decrease which means that -8 is less than -7 and -7 is less than -6 etc.. and positive values are trivially known to be greater than negative ones then take each value and compare it with -4 -8 is less than -4 -4.3 is less than -4 -4 is equal to -4 which is not included in our required range which is x>-4 -3.8 is greater than -4 which will get in our solution 1.2 is greater than -4 3 is also greater than -4 So our final solution will be {-3.8,1.2,3} Which is B in our question Hope this helps :) Let me know too if you got it :) </span><span>
</span>Answer: C. {-3.8, 1.2, 3}

3 0
3 years ago
Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p
Bingel [31]

Answer:

A)

<u><em>Null hypothesis:H₀:-</em></u><em> There is no significant difference between in drug resistance between the two states</em>

<u><em>Alternative Hypothesis :H₁:</em></u>

<em>There is  significant difference between in drug resistance between the two states</em>

<em>B)</em>

<em>The calculated value Z =  2.7261 > 2.054 at 0.02 level of significance</em>

<em> Rejected H₀</em>

<em>There is a significant difference in drug resistance between the two states.</em>

C)

P - value = 0.0066

<em>P - value = 0.0066 < 0.02</em>

<em>D) </em>

<em>1) Reject H₀   </em>

<em>There is a significant difference in drug resistance between the two states.</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given first sample size n₁ = 174</em>

Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant.

<em>First sample proportion </em>

                    p_{1} = \frac{x_{1} }{n_{1} } = \frac{11}{174} = 0.0632

<em>Given second sample size n₂ = 375</em>

Given data  Suppose also that, of 375 cases tested in another state, 7 were found to be drug-resistant

<em>Second sample proportion</em>

<em>                  </em>p_{2} = \frac{x_{2} }{n_{2} } = \frac{7}{375} = 0.0186<em></em>

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:H₀:-</em></u><em> There is no significant difference between in drug resistance between the two states</em>

<u><em>Alternative Hypothesis :H₁:</em></u>

<em>There is  significant difference between in drug resistance between the two states</em>

<em>Test statistic</em>

<em>           </em>Z = \frac{p_{1}-p_{2}  }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }<em></em>

<em>        Where </em>

<em>         </em>P = \frac{n_{1}p_{1} +n_{2} p_{2}  }{n_{1} +n_{2} }<em></em>

<em>        </em>P = \frac{174 (0.0632) + 375 (0.0186) }{174+375 } =  \frac{17.9718}{549} = 0.0327<em></em>

<em>       Q = 1 - P = 1 - 0.0327 = 0.9673</em>

<u><em>Step(iii):-</em></u>

<em></em>

<em>  Test statistic</em>

<em>           </em>Z = \frac{p_{1}-p_{2}  }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }<em></em>

<em>          </em>Z = \frac{0.0632-0.0186  }{\sqrt{0.0327 X 0.9673(\frac{1}{174 }+\frac{1}{375 } ) } }<em></em>

<em>       Z  =   2.7261</em>

<em>   </em>

<em>Level of significance = 0.02 or 0.98</em>

<em>The z-value = 2.054</em>

<em>The calculated value Z =  2.7261 > 2.054 at 0.02 level of significance</em>

<em>    Reject H₀   </em>

<em>There is a significant difference in drug resistance between the two states.</em>

 <u><em>P- value </em></u>

<em>P( Z > 2.7261) = 1 - P( Z < 2.726)</em>

<em>                         = 1 - ( 0.5 + A (2.72))</em>

<em>                         = 0.5 - 0.4967</em>

<em>                          = 0.0033</em>

we will use two tailed test

<em>2 P( Z > 2.7261)  = 2 × 0.0033</em>

<em>                            = 0.0066</em>

<em>P - value = 0.0066 < 0.02</em>

<em>  Reject H₀   </em>

<em>There is a significant difference in drug resistance between the two states.</em>

8 0
3 years ago
A bridge on a river is modeled by the equation h = -0.2d^2 + 2.25d, where h is the height and d is the horizontal distance. For
4vir4ik [10]
Hello,
A=(2.21082279...,3.996803798)
\left \{ {{h=-0.2d^2+2.25d} \atop {h=d/6+21.77/6}} \right. \\\\&#10;&#10;\Rightarrow\ 1.2d^2-12.5d+21.77=0\\\\&#10;&#10;\Rightarrow\ d=2.21082279..\ or\ d=8.20584..\\\\&#10;&#10;


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