HELP PLEASE NEED ASAP- FIVE QUESTIONS ON SCIENTIFIC NOTATION

A system of equations has definitely many solutions. If 2y-4x=6 is one of the equations, which could be the other equation?

NISA [10]

The given equation is ⇒⇒⇒ 2y - 4x = 6

∴ 2y = 4x + 6 ⇒ divide all the equation over 2

∴ y = 2x + 3 and it can be written as ⇒⇒⇒ y - 2x = 3

The last equation represents a straight line with a slope = 2 and y-intercept = 3

To construct a system of equations with definitely many solutions and the equation ( 2y-4x=6 ) is one of the equations, the other equation must have the same slope and the same y-intercept.

so, the general solution of the other equation is ⇒ a ( y - 2x ) = 3a

Where a is constant and belongs to R ( All real numbers )

The system of equations which has definitely many solutions is consisting of Coincident lines.

8 0

3 years ago

What does n mean(mathematics) ?

Fiesta28 [93]

Maybe idk number???? i think that's maybe what n means??
but i'm not sure kk? anyways dont confused yourself....it may just be a variable!

8 0

3 years ago

Read 2 more answers

Will surveyed students at his school about whether they have ever gone snowboarding and whether they own a skateboard. He found

larisa [96]

Answer:

third graph

Step-by-step explanation:

We represent the above information in a two way frequency table.

Have Snowboarded Never Snawboarded Total

Skateboard 35 64 99

No Skateboard 13 147 160

Total 48 211 259

Therefore, the third graph is the correct answer.

6 0

3 years ago

Read 2 more answers

Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let 'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

5 0

2 years ago

A survey of

Zina [86]

Answer:

0.0208<p<0.0592

Step-by-step explanation:

-Given the sample size is 400 and the desired proportion is 16.

-The confidence interval can be determined as follows:

$CI=\hat p\pm z\sqrt{\frac{\hat p(1-\hat p}{n}}\\\\\hat p=x/n=16/400=0.04$

#We the use this proportion to find the CI at 95%:

$CI=0.04\pm 1.96\times \sqrt{\frac{0.04(1-0.04)}{400}}\\\\=0.04\pm 0.0192\\\\=[0.0208,0.0592]$

Hence, the 95% confidence interval is 0.0208<p<0.0592

7 0

3 years ago