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nignag [31]
3 years ago
10

Identify the corresponding word problem given the equation: x + 5 = 15 A) Billy is ten years older than his sister, Jenny. If Bi

lly is 15 years old, how old is Jenny? B) Billy is five years older than his sister, Jenny. If Jenny is 15 years old, how old is Jenny? C) Billy is five years older than his sister, Jenny. If Billy is 15 years old, how old is Jenny? D) Billy is fifteen years older than his sister, Jenny. If Billy is 20 years old, how old is Jenny?
Mathematics
1 answer:
marishachu [46]3 years ago
5 0
Its C 
Billy is 5 years older so if Jenny is x years old then x + 5 = 15.
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Step-by-step explanation:

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Find the circumference of a sphere's great circle with a radius of 4 m.
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This is the concept of areas and circumference of the solid figures;
The circumference of the cylinder whose radius is 4 m will be given by;
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3 years ago
Use z scores to compare the given values.
Effectus [21]

Answer:

The answer is given below

Step-by-step explanation:

Z score is used to measure by how many standard deviations the raw score is above or below the mean. It is given by the formula:

z=\frac{x-\mu}{\sigma}\\ \\Where\ \mu=mean, x=raw\ score, \sigma=standard\ deviation

For the male:

μ = 3259.8 g, σ = 869.7 g

Hence for a male who weighs 1600 g, the z score is:

z=\frac{x-\mu}{\sigma} =\frac{1600-3259.8}{869.7}=-1.91

For the female:

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Hence for a female who weighs 1600 g, the z score is:

z=\frac{x-\mu}{\sigma} =\frac{1600-3000.9}{550.8}=-2.54

Since the z score for the male is z= -1.91 and the z score for the female is z= -2.54 the  male has the weight that is more extreme.

6 0
3 years ago
A41.0m guy wire is attached to the top of a 32.8 m antenna and to a point on the ground. How far is the point on the ground from
Setler79 [48]

Answer:

Step-by-step explanation:

A right angle triangle is formed.

The length of the guy wire represents the hypotenuse of the right angle triangle.

The height of the antenna represents the opposite side of the right angle triangle.

The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.

To determine h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

41² = 32.8² + h²

1681 = 1075.84 + h²

h² = 1681 - 1075.84 = 605.16

h = √605.16

h = 24.6 m

To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.

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Cos θ = 24.6/41 = 0.6

θ = Cos^-1(0.6)

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7 0
3 years ago
Derrick will need $39,500 in 10 years for college tuition. How much should his parents invest now at 9.5% annual interest, compo
erastova [34]

Answer:

His parents should invest $15,278.16 to reach this goal ⇒ 4th answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Derrick will need $39,500 in 10 years for college tuition

∴ The future amount is $39,500

∴ The time for investment is 10 years

- P is the money his parents invest now at 9.5% annual interest,

 compounded daily

∴ The rate is 9.5% per year compounded daily

- The formula of the compounded interest is:

  A=P(1+\frac{r}{n})^{nt} , where

# A is the future value of money

# P is the value of investment

# r is the rate of interest in decimal

# t is the time of investment

# n is the period of the time

∵ A = $39,500

∵ t = 10

∵ r = 9.5/100 = 0.095

∵ n = 365 ⇒ compounded daily

- Lets use the formula above to find P

∴ 39500=P(1+\frac{0.095}{365})^{365*10}

∴ 39500=p(2.58539)

- Divide both sides by 2.58539

∴ P = $15278.16

∴ His parents should invest $15,278.16 to reach this goal

7 0
3 years ago
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