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Shkiper50 [21]
3 years ago
5

Two shops sell the same phone. In both shops it is £196. One shop increases the price by 17.5%. The other shop increases the pri

ce by 22.5%. Calculate the difference between the new prices of the phone in the two shops.
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Step-by-step explanation:

the 1st shop=196-(17.5/100×196)

=196-34.3

=161.7+196

=357.7

the 2nd shop=196-(22.5/100×196)

=196-44.1

=151.9+196

=347.9

so the difference between two shop is

357.7-347.9=9.8

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Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...

... 30-60-90: 1 : √3 : 2

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The long side of ΔMDX is 10√3, so the other two sides are

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The short side of ΔMNX is MX = 15, so the other two sides are

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Then the perimeter of ΔDMN is ...

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3 years ago
Philip ran out of time while taking a multiple-choice test and plans to guess the last 4 questions. Each question has 5 possible
White raven [17]

Using the binomial distribution, it is found that there is a 0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

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Considering that there are 4 questions, and each has 5 choices, the parameters are given as follows:

n = 4, p = 1/5 = 0.2.

The probability that he answers exactly 1 question correctly in the last 4 questions is P(X = 1), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{4,1}.(0.2)^{1}.(0.8)^{3} = 0.4096

0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

More can be learned about the binomial distribution at brainly.com/question/24863377

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2 years ago
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4 0
3 years ago
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3 years ago
What is the solution to –2(8x – 4) &lt; 2x + 5?
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The solution to –2(8x – 4) < 2x + 5 is x > 1/6

<h3>How to solve the inequality?</h3>

The expression is given as:

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Read more about inequalities at:

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