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ale4655 [162]
3 years ago
12

Mrs. Bailey gives a test, and her students’ scores range from 30 to 70. She decides to curve the scores, so that they range from

65 to 95. Let "x" be an original score, and "y" be a curved score. Using the ordered pairs (30,65) and (70,95), write the equation in slope/intercept form that she should use to curve the test scores.
Mathematics
1 answer:
Harman [31]3 years ago
8 0

Answer:

f(x) = x*3/4 + 42.5

Step-by-step explanation:

The original difference between the pair is 70 - 30 = 40

The new difference between the pair is 95 - 65 = 30

Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4

Then 30 * 3/4 = 22.5

Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95

Therefore, f(x) = x*3/4 + 42.5. We can test that

f(30) = 30*3/4 + 42.5 = 65

f(70) = 70*3/4 + 42.5 = 95

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2x+5=11 two step equations<br>​
Sati [7]

Answer:

x=3

Explanation: 11-5=6

6/2= 3

Plug 3 into the equation and you get 2x3+5=11 which 2x3=6 and 6+5=11

4 0
3 years ago
Can someone help me with this? It’s due soon <br> -I’ll give brainliest
Dovator [93]

Answer:

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3 0
3 years ago
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%

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5 0
3 years ago
Help with this math question please
kvv77 [185]
First question.

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V_{t} = V_{g}+V_{r} = 8 \times 3 \times 5 + 8 \times 5 \times 8  = 440 ft^{3}

So the answer is G.

Second question

The answer is D. Let's analyze it:

Given that r represents the radius  of the pizza and n the number of slices, so if we substitute r in this equation, then the values for n are:

n =  r^{2}+1

n=2^{2}+1=5
n=4^{2}+1=17
n=5^{2}+1=16
n=8^{2}+1=65
n=10^{2}+1=101

These are the values of n shown in the table above.

6 0
3 years ago
A ball is thrown from a height of 40 meters with an initial downward velocity of 5 m/s
arsen [322]

0=40-10t-5t^2

t^2+2t-8=0

(t+4)(t-2)=0

t=-4 (not a solution) or t=2

Answer: after 2 seconds

7 0
3 years ago
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