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dedylja [7]
3 years ago
10

Solve the proportion.

Mathematics
1 answer:
Lostsunrise [7]3 years ago
8 0

Answer:

r = 9

Step-by-step explanation:

cross multiply

9 * r = 81

9r = 81

divide both sides by 9

r= 81/9

r = 9

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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:

<u><em>Step(i):-</em></u>

<em>Given that the sample size n =12 -volt car batteries</em>

<em>Let  'X' be a Random variable in a normal distribution</em>

<em>Given that mean of the normal distribution = 45 months</em>

<em>Given that the Standard deviation of the normal distribution = 8months</em>

<u><em>Step(ii):-</em></u>

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

<u><em>Step(iii)</em></u>:-

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

<u><em>Final answer:-</em></u>

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%

<em />

5 0
2 years ago
Are 12/7 and 36/21 proportional
anastassius [24]

Answer:

Step-by-step explanation:

Cross multiply:

12 * 21 = 7 * 36

Simplifying

12 * 21 = 7 * 36

Multiply 12 * 21

252 = 7 * 36

Multiply 7 * 36

252 = 252

Add '-252' to each side of the equation.

252 + -252 = 252 + -252

Combine like terms: 252 + -252 = 0

0 = 252 + -252

Combine like terms: 252 + -252 = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

(hope this helps can i plz have brainlist :D hehe)

5 0
3 years ago
Read 2 more answers
Pls help whoever gives me the most correct answer I'll mark brainliest
Greeley [361]

Answer:

c= 1.16n

Step-by-step explanation:

j

6 0
3 years ago
A line passes through points (2,5) and (5, 14). What is the slope of this line?
topjm [15]

<u>We know that:</u>

Slope of a line = change in y coordinate / change in x coordinate

<u>We are given:</u>

First point = (2,5)

Second point = (5, 14)

<u>Calculating the change in y coordinate:</u>

change in y (also represented by Δy) = second y - first y

Δy = 14 - 5

Δy = 9

<u>Calculating the change in x coordinate:</u>

Δx = second x - first x

Δx = 5 - 2

Δx = 3

<u>Slope of the line:</u>

Slope = (Δy) / (Δx)

Slope = 9 / 3                                              [replacing the values]

Slope = 3

7 0
2 years ago
Please answer. 30 points.
kotegsom [21]

Answer:

Srry umm can you zoom in I cant see srry!

Step-by-step explanation:

7 0
3 years ago
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