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Aloiza [94]
2 years ago
5

Find the arc length

Mathematics
1 answer:
umka21 [38]2 years ago
7 0

Answer:

39/2 π ft^2

Step-by-step explanation:

2(13)(270)/360

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A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found th
AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is  0.551<  p <  0.610

Step-by-step explanation:

From the question we are told that

   The sample size is  n =1057

   The number that believe there was a conspiracy is  k = 614

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{614}{1057 }

=>   \^ p = 0.5809

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

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

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

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

=>   E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }    

=>   E = 0.02975  

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.5809 - 0.02975<  p <  0.5809 + 0.02975

=>    0.551<  p <  0.610

4 0
3 years ago
rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the heig
siniylev [52]
Consider this option:
1. area_rombus=a*h, where a=6 - the length of the side, h - height.
h=area_rombus/a.
2. area_sq=a², where a=6 - the length of the square.
area_sq=36, area_rombus=4/5 *36=28.8.
3. according to the item 1 h=area_rombus/a=28.8/6=4.8.

answer: 4.8
6 0
3 years ago
Solve for x.
d1i1m1o1n [39]
X³ = 8/125

x = ∛8/125

x = 2/5

In short, Your Answer would be: 2/5

Hope this helps!
5 0
3 years ago
Read 2 more answers
How do I solve this???​
alexdok [17]

Answer:

Step-by-step explanation:

The equation of a proportional relationship: y = mx.

METHOD 1:

We know: If x and y are in a proportional relationshi, then the ratio y/x is constant

\dfrac{y}{x}=const.

We have P(3, 2) and Q(x, 6). Therefore

\dfrac{2}{3}=\dfrac{6}{x}             <em>cross multiply</em>

2x=(3)(6)              <em>divide both sides by 2</em>

x=\dfrac{18}{2}

x=9

METHOD 2:

<em>(look at the picture)</em>

The graph of y = mx is a straight line passes through the origin.

Step 1.

Plot point P(3, 2) on the graph.

Step 2.

Draw the line passes through he origin and point P.

Step 3.

Draw the line y = 6  <em>(6 from the coordinates of Q(x, 6))</em>

Step 4.

The intersection of lines is the point Q. Read the coordinte x.

3 0
3 years ago
A large box holds 125% as many toys as a small box. If the large box hold 25 toys, how many toys does the small box hold? Your a
irina [24]
5 toys.

125/25 = 5 tiys
7 0
3 years ago
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