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2 years ago

What is the intercept of -3x + 4y = 24

1 answer:

7 0

X-intercept:
-3x + 4y = 24

Sub y = 0

-3x + 4(0) = 24

-3x + 0 = 24

-3x = 24

x = -8

y-intercept:
-3x + 4y = 24

Sub x = 0

-3(0) + 4y = 24

0 + 4y = 24

4y = 24

y = 6

Hope it helps :)

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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

vitfil [10]

Answer:

45-(-15)

430-(-180)

11,560-(-185)

Step-by-step explanation:

just add the two numbers together for diffrence.

6 0

2 years ago

When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel

qwelly [4]

Answer:

The linear function with the smallest slope must be multiple of one of the other two linear functions if all functions are coplanar. Otherwise, they intersect at the given point in space.

Step-by-step explanation:

A system of two linear functions with two variables have an unique solution on a given plane, as there are three linear function, it means that linear function with the smallest slope must be multiple of one of the other two linear functions.

But, if those functions are not all coplanar and have 3 variables, they intersect at the given point.

6 0

3 years ago

Which expression represents the product of 2xy and 3xy+5y-xy^2

galina1969 [7]

Answer:

D. 6x2^2y^2 + 10xy^2 - 2x^2y^3

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?

Ivanshal [37]

Answer:

a = a

b = b

c = c

Step-by-step explanation:

Formula: $a^2+b^2=c^2$

C is always the largest number

a times a + b times b = c times c

4 0

3 years ago