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2 years ago

Solve the inequality to - 1/3k >= 2

Mathematics

1 answer:

Xelga [282]2 years ago

5 0

Answer;k≤−6

Step-by-step explanation:(

−1

)*(

−1

k)≥(

−1

)*(2)=

k≤−6

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ecn 221 The sodium content of a popular sports drink is listed as 206 mg in a 32-oz bottle. Analysis of 14 bottles indicates a s

spayn [35]

Answer:

$H_{0}: \mu = 206\text{ mg}\\H_A: \mu \neq 206\text{ mg}$

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 206 mg

Sample mean, $\bar{x}$ = 217.5 mg

Sample size, n = 14

Sample standard deviation, s = 14.9 mg

Claim:

The mean sodium content for the sports drink is not 206 mg. It is different than 206 mg.

Thus, we design the null and the alternate hypothesis

$H_{0}: \mu = 206\text{ mg}\\H_A: \mu \neq 206\text{ mg}$

We use two-tailed t test to perform this hypothesis.

3 0

3 years ago

LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (6

USPshnik [31]

LORAN follows an hyperbolic path.

The equation of the hyperbola is: $\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$

The coordinates are given as:

$\mathbf{(x,y) = (-60,0)\ (60,0)}$

The center of the hyperbola is

$\mathbf{(h,k) = (0,0)}$

The distance from the center to the focal points is given as:

$\mathbf{c = 60}$

Square both sides

$\mathbf{c^2 = 3600}$

The distance from the receiver to the transmitters is given as:

$\mathbf{2a = 100}$

Divide both sides by 2

$\mathbf{a = 50}$

Square both sides

$\mathbf{a^2 = 2500}$

We have:

$\mathbf{b^2 = c^2 - a^2}$

This gives

$\mathbf{b^2 = 3600 - 2500}$

$\mathbf{b^2 = 1100}$

The equation of an hyperbola is:

$\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}$

So, we have:

$\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}$

$\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$

Hence, the equation of the hyperbola is: $\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$

Read more about hyperbolas at:

brainly.com/question/15697124

7 0

3 years ago

Read 2 more answers

Which are the solutions of the equation 4x^2-7x=3x+24

vfiekz [6]

Answer:

x=4

Step-by-step explanation:

Because 4 to the power of 2 is 16.

Then, you subtract: 16x - 7x

Then, what you are going to see is 9x=3x+24

So, you subtract: 9x - 3x

Finally, you will have 6x=24... You divide: 24/6 and the answer is x=4.

6 0

3 years ago

Read 2 more answers

The food is made up of 1 part sugar and 4 parts water. She uses 34 cup of sugar to make the hummingbird food. How much water sho

mash [69]

34*4=136 cups of water

7 0

2 years ago

A veterinarian is changing the diets of two animals, Simba and Cuddles. Simba currently consumes 1,520 Calories per day. That nu

kykrilka [37]

Answer:

6 days ; 2300 calories

Step-by-step explanation:

Given the following :

Current consumption :

Simba = 1520 calories per day

Increases by 130 calories per day : After d days ;

S(d) = 1520 + 130d

Where ; d = number of days

Cuddle = 3380 calories

Decreases by 180 calories each day; after d days ;

S(d) = 3380 - 180d

Pattern continues until they both consume same number of calories each day

S(d) = C(d)

1520 + 130d = 3380 - 180d

130d + 180d = 3380 - 1520

310d = 1860

d = 6

Number of calories they will be consuming them ;

Using : S(d) = 3380 - 180d

S(6) = 3380 - 180(6)

S = 3380 - 1080

S = 2300

They will be consuming 2300 calories by then.

8 0

3 years ago