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3 years ago

Can someone please help me on these two questions?

Mathematics

1 answer:

Naddik [55]3 years ago

4 0

Answer:

Arc = angle/360° x 2πr

13) = 72/360 x 2π x 25

= 1/5 x 2π x 25 = 10π

14) 270/360 x 2π x 2

= 3/4 x 4π = 3π

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Take the following numbers and calculate the mean, median and mode. 75, 65, 70, 70, 55, 40, 55, 70, 65

emmainna [20.7K]

1. mean

To solve for mean, add all the numbers, and divide by the amount of numbers there is.

(75 + 65 + 70 + 70 + 55 + 40 + 55 + 70 + 65)/9 = 565/9 = 62 7/9 (a. 62.8)

2. Median

To solve for median, reorder all numbers from least to greatest, and the middle number is your median.

40, 55, 55, 65, 65, 70, 70 , 70, 75

Middle number is bolded

40, 55, 55, 65, 65, 70, 70, 70, 75

(b. 65)

3. Mode

To solve for mode, find out which number shows up the most.

(c. 70) shows up once more than the next number that has the most (55 & 65, which both have 2)

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3 years ago

One canned juice drink is 25% orange juice another is 10% orangw juice. How many liters of each should be mixed together in orde

Vsevolod [243]

Answer:

There should be 10 l of 25% orange juice and 5 l of 10% orange juice.

Step-by-step explanation:

Let the amount of the 25% orange juice be "x", while the amount of the 10% one be "y". The sum of these must be equal to 15 l, therefore:

$x + y = 15$

The sum of the concentration of juice on each can must be equal to the final product, therefore:

$25\%*x + 10\%*y = 15*20\%\\0.25*x + 0.1*y = 3$

We can now solve the system of equations as shown below:

$\left \{ ({{x + y=15})*(-0.1) \atop {0.25*x + 0.1*y=3}} \right. \\\left \{ {{-0.1*x - 0.1*y=-1.5} \atop {0.25*x + 0.1*y=3}} \right. \\-0.1*x + 0.25*x = 3 - 1.5\\0.15*x = 1.5\\x = \frac{1.5}{0.15} = 10\\y = 15 - x = 15 - 10 = 5$

There should be 10 l of 25% orange juice and 5 l of 10% orange juice.

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3 years ago

WILL MARK BRAINLIEST!!! In Algebra, we learn about many types of functions. These functions vary from simple to complex. Think a

Kryger [21]

Answer: Algebraically, linear functions are polynomial functions with a highest exponent of one, exponential functions have a variable in the exponent, and quadratic functions are polynomial functions with a highest exponent of two.

Step-by-step explanation: A linear equation is a type of equation in which the graph is straight and each term is a constant or a power of a constant. The formula is y=mx+b. Quadratic equations are similar to exponential equations by having a curve in the graph.

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2 years ago

Suppose that the height, in inches, of a 25-year-old man is a normal random variable with parameters = 71 and 2 = 6:25. What per

Alexus [3.1K]

Answer:

2.28%

Step-by-step explanation:

given that the height, in inches, of a 25-year-old man is a normal random variable with parameters = 71 and variance = 6:25.

If X is the height of 25 year old man then X is N(71, 2.5)

a) Probability of men in the 6-footer club are over 6 feet, 5 inches

= $P(X>6'5")\\=P(X>77")\\= P(Z>\frac{77-72}{2.5} \\=P(X>2)$

= 0.0228

percentage of men in the 6-footer club are over 6 feet, 5 inches

100 times prob

=2.28%

2.28% of men in the 6-footer club are over 6 feet, 5 inches willbe taller than 6 feet and 5 inches

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3 years ago

All functions have a domain of R (all real numbers).<br> True<br> Or False

Veronika [31]

Answer:

True

Step-by-step explanation: Trust me

4 0

2 years ago