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2 years ago

6

I buy the same chips every week and my bill is normally $90.00. Why am I now being charged $108 for the exact same items? What p

ercentage has the store increased their prices?

2 answers:

Elden [556K]2 years ago

8 0

Hi there! To find the percent of change, do change/original = x/100. The amount of change means to find the distance between two numbers and the original is the previous price. 108 - 90 = 18. Plug in the values in order to get 18/90 = x/100. Cross multiply the values in order to get 1,800 = 90x. Now, divide each side by 90 to isolate the variable. When you do, you get x = 20. The store increased their prices by 20%.

Pie2 years ago

6 0

Answer:

20%

Step-by-step explanation:

My bill of the chips comes every week = $90

Now the store is charging for the exact same items = $108

Increase in their prices = 108 - 90 = $18

The percentage of the increased amount = $\frac{18}{90}$ × 100

= 0.2 × 100

= 20%

The store has increased 20% in their prices.

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Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28.

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Answer:

a) The probability distribution is $f(x) = \frac{1}{8}$

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c) 0.25 = 25% probability that X will take on a value of at least 26.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

$P(X < x) = \frac{a - x}{b - a}$

The probability of finding a value between c and d is:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

The probability of finding a value above x is:

$P(X > x) = \frac{b - x}{b - a}$

Uniform distribution over the interval from 20 to 28.

This means that $a = 20, b = 28$

a. What’s the probability density function?

The probability density function of the uniform distribution is:

$f(x) = \frac{1}{b - a}$

In this question:

$f(x) = \frac{1}{28 - 20} = \frac{1}{8}$

b. What’s the probability that X will take on a value between 21 and 25?

$P(21 \leq X \leq 25) = \frac{25 - 21}{28 - 20} = \frac{4}{8} = 0.5$

0.5 = 50% probability that X will take on a value between 21 and 25.

c. What’s the probability that X will take on a value of at least 26?

$P(X > 26) = \frac{28 - 26}{28 - 20} = \frac{2}{8} = 0.25$

0.25 = 25% probability that X will take on a value of at least 26.

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Answer:

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Step-by-step explanation:

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Study the figure attached below:

Answer:

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Step-by-step explanation:

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Looking at the figure, we can see that triangle ABC is formed by bisecting the angle 35 degree (i.e. if the angle is bisected, it will divide into two equal parts, so 35 degree will divide into two equal parts of 17.5 degree).

As the triangle ABC is a right triangle, so we can use the trigonometric ratios to find the diameter of the sun.

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