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melomori [17]
4 years ago
7

Identify the common difference and then find the next three terms of the following sequence.

Mathematics
1 answer:
olganol [36]4 years ago
8 0

\frac{2}{3} = \frac{4}{6} \\ \frac{1}{2} = \frac{3}{6} \\ \frac{1}{3} = \frac{2}{6} \\ the \: common \: difference \: is \: \frac{1}{6} \\ as \: all \: the \: continuing \: terms \\ are \: made \: by \: subtracting \: \frac{1}{6} \: from \\ the \: previous \: term. \\ the \: next \: three \: terms \: are \: \frac{1}{6} \: \: 0 \: and - \frac{1}{6}
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Based on a poll 62% of internet users are more careful about personal information when using a public wifi hotspot. What is the
Setler79 [48]

Answer:

0.9451

Step-by-step explanation:

Remaining question? <em>"How is the result affected by the additional information that the survey subjects volunteered to​respond?"</em>

Probability that at least 1 user is more careful about personal information when using a public Wi-Fi hot spot is:

P(X≥1) = 1 − P(X<1)

= 1 − P(X=0)

= 1 - [(3,0) (0.62)^0 (1-0.62)^3-0

= 1 - 0.054872

= 0.945128

= 0.9451

Thus, the probability that among three randomly selected Internet users; at least one is more careful about personal information when using a public Wi-Fi hotspot is 0.9451

7 0
3 years ago
Hokiris ladder has two legs that are each 8 feet long. When the ladder is opened safely and locked for use, the legs are 4 feet
guajiro [1.7K]

To solve this problem you must apply the proccedure shown below:

1- The ladder forms an isosceles triangle, because it has two equal sides.

2- Let's call the angle \alpha. To calculate it , you can divide the triangle into two equal right triangles and the angle \alpha will be divided into two equal parts too. Therefore, you can calculate the half of the angle and then multiply it by two, as following:

Sin^{-1}(\alpha 1)=opposite/hypotenuse

Sin^{-1}(\alpha1)=8/2\\  \alpha1=14.47 degrees

\alpha =2\alpha 1\\ 2=2(14.47degrees)\\ \alpha =28.95degrees

The answer is: 28.95degrees

6 0
4 years ago
A pentagonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed?
taurus [48]
I'm guessing a pentagon but I could be wrong
7 0
3 years ago
Mrs. Petruzziello’s class is working on a math project. There are 5 groups. Mrs. Petruzziello has 3 packs of construction paper
aliya0001 [1]

Answer:

1/5

Step-by-step explanation:

1 pack of paper/ 5 groups

or all three groups

3/5

6 0
3 years ago
A waitress sold 10 ribeye steak dinners and 18 grilled salmon dinners, totaling $590.39 on a particular day. anither day she sol
Len [333]

Answer:

   a) The cost of ribeye steak dinners is $ 16.96.

   b) The cost of grilled salmon dinners is $ 23.37.

Explanation:

 Let the cost for ribeye steak dinners  be m and cost for grilled salmon dinners  be n.

 A waitress sold 10 ribeye steak dinners and 18 grilled salmon dinners, totaling $590.39 on a particular day.

So, we have    

         10 m + 18 n = 590.39 -------equation 1

Another day she sold 22 ribeye steak dinners and 9 grilled salmon dinners, totaling $583.49

So, we have    

         22 m + 9 n = 583.49 -------equation 2

 equation 2 x 2

       44 m + 18 n = 1166.98 -------equation 3

 equation 3 - equation 1

        44 m + 18 n - (  10 m + 18 n ) = 1166.98 - 590.39

         m = 16.96 $

  Substituting in equation 1

        22 x 16.96 + 9 n = 583.49

          n = 23.37 $

   a) The cost of ribeye steak dinners is $ 16.96.

   b) The cost of grilled salmon dinners is $ 23.37.

6 0
3 years ago
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