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Sergio [31]
3 years ago
5

A total of 150 students have taken an Algebra 2 final exam. The scores are normally distributed with a mean of 71% and standard

deviation of 6%. How many students would you expect have scored between 65% and 77%?
Mathematics
1 answer:
WARRIOR [948]3 years ago
3 0

Answer:

102 students

Step-by-step explanation:

Note that 65% and 71% are both 1 standard deviation from the mean (71%).  According to the empirical rule, 68% of scores lie within 1 std. dev. of the mean.

68% of 150 students would be 0.68(150 students) = 102 students

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The demand for coffee is given by the following equation, where QD stands for the quantity demanded and P stands for price.
mart [117]

Using linear function concepts, it is found that the slopes and intercepts of the functions are given as follows:

a) -4.

b) P = 25.

c) 2.

d) P = 5.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The demand is given by:

D = 100 - 4P.

Hence the slope is of -4. The demand is equals to zero when:

100 - 4P = 0 -> P = 25.

The supply is given by:

QS = -10 + 2P.

Hence the slope is of 2. The supply is equals to zero when:

-10 + 2P = 0 -> P = 5.

More can be learned about linear function concepts at brainly.com/question/24808124

#SPJ1

4 0
1 year ago
3.1 , 3.4 , 3.25 , 3.33 from greatest to least
BlackZzzverrR [31]

Answer:

3.1  3.25   3.33   3.4

Step-by-step explanation:

4 0
3 years ago
Find all critical values of the function g(x)=5/(x²-x+6)
Sati [7]
g(x)=\frac{5}{x^2-x+6}\\\\D:x^2-x+6\neq0\\\\\Delta=(-1)^2-4\cdot1\cdot6=1-24=-23 < 0\\\\x\in\mathbb{R}\\\\vertex\ of\ y=x^2-x+6\\\\p=\frac{-(-1)}{2\cdot1}=\frac{1}{2}\\\\q=\frac{-(-23)}{4\cdot1}=\frac{23}{4}\\\\\lim\limits_{x\to\frac{1}{2}}\frac{5}{x^2-x+6}=\frac{5}{\frac{23}{4}}=\frac{5\cdot4}{23}=\frac{20}{23}

\lim\limits_{x\to\pm\infty}\frac{5}{x^2-x+6}=0

3 0
3 years ago
V-20 in radical from​
Leto [7]

Answer: V - 20

Step-by-step explanation: Hope this helps

7 0
2 years ago
Evaluate 5 - 3(a3 – b2)2 when a = 3 and b = 5.
aliya0001 [1]

Answer:

Step-by-step explanation:

Evaluate 5 - 3(a3 – b2)2 when a = 3 and b = 5.

5 - 3 × (a³-b²)²                           a=3 and b=5

5 - 3 × (3³ - 5²)² =

5 - 3 × (27  - 25)² =

5 - 3 × (2)² =

5 - 3 × 4 =

5 - 12 =

-7

7 0
1 year ago
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