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2 years ago

State the x- and y-intercept of the line defined by the function-1/4x+4y=2

Mathematics

1 answer:

Vlad [161]2 years ago

7 0

Answer:

The y-intercept is (0, 1/2)

The x-intercept is (0, -8)

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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

3 years ago

Please help someone I need to turn this in in like 10 mins please helpppppp

konstantin123 [22]

Answer:

3.6 - 0.65 = 2.95

Step-by-step explanation:

subtract

3.6 - 2.95 = 0.65

6 0

3 years ago

Translate this sentence into an equation. 59 is the sum of 11 and Mai’s score

trapecia [35]

Answer:

11 + Mai's Score = 59

Step-by-step explanation:

You need to add 11 and Mai's score together to get 59, so with the values given we can make the equation 11 + Mai's Score = 59.

*depending on the question, Mai's score may need to be said as a letter variable, so:

If m = mai's score,

11 + m = 59

I hope this helped! :)

3 0

3 years ago

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Find all roots x3^-8=0

Travka [436]

Answer:

Step-by-step explanation:

hello :

x3^-8=0 means : x3^=8

but : 8 = 2^3

so : x3^= 2^3

x=2

7 0

3 years ago

WHat is 9 times 8 times 7 times 6 times 4 times 3 times 2 times 1 divided by 8. First person to answer get a free like and brain

AnnyKZ [126]

9072 is the correct answer.

4 0

3 years ago

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