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Pepsi [2]
3 years ago
9

Find the range of the data in the box plot below.

Mathematics
1 answer:
mezya [45]3 years ago
8 0

Answer:

The range of the data is: 4.5 dollars

Step-by-step explanation:

From the diagram,

  • Smallest value = 5
  • First Quartile = 5.5
  • Largest value = 9.5
  • Third Quartile = 7.5
  • Median = 6

The range is given by subtracting the smallest value from the largest value:

9.5 - 5 = 4.5

Thus, the range of the data is: 4.5 dollars

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C is your answer. The coefficient on the x value is always a stretch factor.
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Can someone do 15?!?!?
andrew-mc [135]

<u>Given</u>:

The given triangle is a right triangle.

The length of the hypotenuse is 31 units.

The length of the leg is 23 units.

One of the angle is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

sin \ \theta=\frac{opp}{hyp}

Substituting \theta=x, the side opposite to the angle x measures 23 units and the hypotenuse is 31.

Thus, we have;

sin \ x=\frac{23}{31}

Dividing, we get;

sin \ x=0.74

Taking sin ^{-1} on both sides of the equation, we get;

x=sin^{-1}(0.74)

x=47.7

Rounding off to the nearest whole integer, we get;

x=48

Thus, the value of x is 48°

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5 0
3 years ago
You come home from Brian’s Orchard with a big brown bag of apples: 23 Granny Smiths, 14 Honey Crisp and 31 Red Delicious. What i
garik1379 [7]

Answer:

a. Probability of Pulling one of each = 0.03175

b. Probability of Pulling 4 Honey Crisp = 0.001797

Probability of 2 G.Smith = 0.1144

Probability of 1 Red Delicious = 0.4559

Step-by-step explanation:

Given

Granny Smiths = 23

Honey Crisp = 14

Red Delicious = 31

Required

- Probability of Pulling out one of each

- Probability of Pulling out 4 Honey Crisp; 2 Granny Smiths; 1 Red Delicious

First, the total number of apple needs to be calculated.

Total = Granny Smiths + Honey Crisp + Red Delicious

Total = 23 + 14 + 31

Total = 68

Probability of Pulling 1 of each

= P(Granny Smiths) and P(Henry Ford) and P(Red Delicious)

- Granny Smiths;

This is calculated by dividing number of Granny Smiths apples by total number of apples.

Probability = 23/68

Similarly,

Probability of Pulling Honey Crisp= Number of Honey Crisp divided by total

Probability = 14/68

Probability = 7/34

Probability of Pulling Red Delicious = Number of Red Delicious divided by total

Probability = 31/68

So, Probability of Pulling 1 of each = 23/68 * 7/34 * 31/68

Probability = 4991/157216

Probability = 0.03175

Probability of Pulling out 4 Honey Crisp;

= P(Honey) * P(Honey) * P(Honey) * P(Honey)

= (P(Honey))⁴

= (7/34)⁴

= 2401/1336336

= 0.001797

Probability of Pulling 2 Granny Smiths;

= P(Granny) * P(Granny)

= (P(Granny))²

= (23/68)²

= 529/4624

= 0.1144

Probability of 1 Red Delicious

= number of red delicious divided by total

= 31/68

= 0.4559

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Answer:

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The well-known equation of the famous Pythagorean Theorem is:

a² + b² = c², which says that for a right triangle, the sum of the squares of the lengths of the two shorter sides of the triangle is equal to the square of the length of the longest side called the hypotenuse, where a and b are the lengths of the two shorter sides (also called the "legs") and c is the length of the hypotenuse (the side opposite the right angle).

We're given that a = 7 cm and b = 24 cm and that c = 25 cm. Substituting these values into the equation of the Pythagorean Theorem, we get:

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