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3 years ago

Whats the answer for this problem 8x+y=-16 -3x+y=-5

1 answer:

8 0

{x,y} = {-7/4,-2}

Explanation:
System of Linear Equations entered :
[1] 8x+y=-16
[2] -3+y=-5

Equations Simplified or Rearranged :
[1] 8x + y = -16 
[2] y = -2

Regards
Sonny

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It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult ma

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Answer:

z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim

Step-by-step explanation:

We will test the breeder´s claim at 95% ( CI) or significance level

α = 5 % α = 0,05 α /2 = 0,025

Sample Information:

sample size n = 45

sample mean x = 72,5 pounds

Sample standard deviation s = 16,1

1.-Hypothesis Test:

Null Hypothesis H₀ x = 70

Alternative Hypothesis Hₐ x ≠ 70

Alternative hypothesis contains the information about what kind of test has to be developed ( in this case it will be a two-tail tets)

2.-z (c) is from z-table z(c) = 1,96

3.- z(s) = ( x - 70 ) / 16,1 / √45

z(s) = (72,5 -70 ) *√45 / 16,1

z(s) = 2,5 * 6,71 / 16,1

z(s) = 1,04

4.-Comparing z(s) and z(c)

z(s) < z(c)

Then z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim

7 0

3 years ago

Read 2 more answers

Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance

zzz [600]

Answer:

$\frac{\Delta v}{v}=0.426$

Step-by-step explanation:

you have that the average sped is given by the following formula:

$v(x,t)=\frac{x}{t}$

The uncertainty formula for a division is given by:

$\frac{\Delta v}{v}=\sqrt{(\frac{\Delta x}{x})^2+(\frac{\Delta t}{t})^2}$ (1)

Δv: uncertainty in speed

Δx: uncertainty in the distance = 0.9m

Δt: uncertainty in time = 0.7s

x: distance = 8.1m

t: time = 1.7s

You replace the values of all parameters in the equation (1):

$\frac{\Delta v}{v}=\sqrt{(\frac{0.9}{8.1})^2+(\frac{0.7}{1.7})^2}\\\\\frac{\Delta v}{v}=0.426$

Hence, the relation between the uncertainty in the average velocity is 0.426

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2 years ago

A ball of radius 11 has a round hole of radius 5

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Answer:

3,847.40376

Step-by-step explanation:

Volume of a sphere=

4/3π(11)³=5,575.27976

Volume of a cylinder=

π(5)²(22)=1,727.876

Total volume=

5,575.27976-1,727.876=3,847.40376

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3 years ago

A bike is bought for $1200 and sold 10 months later for $940.

Stolb23 [73]

Value

Depreciation is defined as the reduction in value of an asset over time. In this case, value reduction is due to wear and tear of an equipment (bicycle).

a. The depreciation value would simply be the difference in initial and salvage value divided by time in years.

Depreciation = (Initial value – Salvage value) / Number of years

b. Substituting the given values into the equation where:

Initial value = $1200

Salvage value = $940

Number of years = 10 months = 10/12 years

Calculating:

Depreciation = ($1200 - $940) / (10/12 years)

Depreciation = $312 / year

Depreciation = $26 / month

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2 years ago

PLEASE HELP ASAP!!! WILL AWARD BRAINLIEST!! THANKS!! A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 ch

gayaneshka [121]

Answer:

377 meals

Step-by-step explanation:

If you choose to have all three courses, then there are 6 choices for the first course, 8 for the second, and 5 for the last, making a total of 6*8*5=240 different possible meals.

If you choose two courses, then there are 3 options. You can pick appetizer and main meal, which would give you 6*8=48 possibilities. You can pick main meal and dessert, which would give you 8*5=40 possibilities. Finally you can pick appetizer and desert, which would give you 6*5=30 possibilities. In total these are 118 different possible meals with two courses.

Finally, you could choose 1 course, which would give you 6+8+5=19 different meals.

In total, this is 240+118+19=377 meals

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3 years ago