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prisoha [69]
2 years ago
10

John made a small rectangular table for his workroom. If the sides of the table are 32 inches and 26 inches, what should the tab

le measure diagonally?
Mathematics
1 answer:
matrenka [14]2 years ago
6 0

Answer:

The table should measure diagonally about 41.23 inches.

Step-by-step explanation:

To find the diagonal of a rectangle we use the formula :

a^{2} + b^{2} = c^{2}

A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.

32^{2} + 26^{2} = c^{2}

1024 + 676 = c^{2}

1700 = c^{2}

The square root of 1700 is (rounded to the hundreth's place) = 41.23

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32​% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find t
Lorico [155]

Answer:

A.  21.06%

B. 66.88%

C. 81.56%

Step-by-step explanation:

There are two possible answer for the question asked, yes(more likely to make purchases) or no. The probability for a random adults answer yes to the question is 32% so the probability that the adults answer no is 68%.

(a) exactly​ two

There is only one case for this question, 2 people say yes and 8 people say no. The calculation for this problem will be:

2P10 * P(yes)^2 * P(no)^8= 10!/2!8!* 32%^2  * 68%^8 = 0.21066= 21.06%

(b) more than​ two

There are a lot of case for more than two, its easier to find out the negation of the probability which is "two or less". Case that fulfill "two or less" will be: 2 yes and 8 no

1 yes and 9 no

0 yes and 10 no

The calculation for the negation will be:

~P(X)= 0P10 * P(yes)^0 * P(no)^10   +   1P10 * P(yes)^1 * P(no)^9   +  2P10 * P(yes)^2 * P(no)^8  =

10!/0!10!* 32%^0  * 68%^10    +   10!/1!9!* 32%^1  * 68%^9   +   10!/2!8!* 32%^2  * 68%^8

0.02113 + 0.09947 + 0.21066  =  0.33126= 33.12%

Since its the negation, you need to subtract 1 with the negation

P(X)= 1 - ~P(X)

P(X)= 1 - 33.12%= 66.88%

(c) between two and​ five, inclusive

Same formula as above, but the case is:

2 yes and 8 no

3 yes and 7 no

4 yes and 6 no

5 yes and 5 no

The calculation will be:

2P10 * P(yes)^2 * P(no)^8 + 3P10 * P(yes)^3 * P(no)^7 + 4P10 * P(yes)^4 * P(no)^6 + 5P10 * P(yes)^5 * P(no)^5 =

10!/2!8!* 32%^2  * 68%^8    +   10!/3!7!* 32%^3  * 68%^7   +   10!/4!6!* 32%^4  * 68%^6  +  10!/5!5!* 32%^5  * 68%^5

0.21066 + 0.26435 + 0.21770 + 0.1229= 0.81561= 81.56%

8 0
2 years ago
Fiona finds that the distance between two cities is 83,400,000 millimeters. What is the distance between the two cities in kilom
daser333 [38]
The metric table goes millimeters, centimeters, decimeters, meters, dekameters, hectometers, kilometers. To move up the table, move the decimal point one to the left. If you wanted to change it to centimeters, the answer would be 8,340,000. In kilometers, this is 83.4 kilometers. Hope this helps!
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2 years ago
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The graph shows the altitude of a helicopter over time. A graph measuring altitude and time. A line runs through coordinates (0,
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15, 4000, and <span>0, 10,000.
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divide.

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Substract 3 from the total and divide it with 2
one of them is 5 and the other one is 8.
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2 years ago
the volume of solid A is 28m3 and the volume of solid B is 1,792m3. If the solids are similar, what is the ratio of the surface
Maslowich
If k is the scale factor between the dimensions of the similar solids, the areas are related by k² and the volumes are related by k³. That is
\ \ \dfrac{V_{a}}{V_{b}}=k^{3}
\ \ k=(\dfrac{V_{a}}{V_{b}})^{\frac{1}{3}}

The areas are related by k², so
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\ \ =4^{-2}=\dfrac{1}{16}

The ratio of the surface area of solid A to that of solid B is ...
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