1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anastaziya [24]
2 years ago
7

uppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5

and a standard deviation of 0.37. Using the empirical rule, what percentage of the students have grade point averages that are no more than 3.24
Mathematics
1 answer:
Marizza181 [45]2 years ago
6 0

Answer:

P(x \le 3.24) = 0.97725

Step-by-step explanation:

Given

\bar x = 2.5

\sigma = 0.37

Required

Percentage that is not more than 3.24

The above implies that:

x = 3.24

Calculate z score

z = \frac{x - \bar x}{\sigma}

z = \frac{3.24 - 2.5}{0.37}

z = \frac{0.74}{0.37}

z = 2

So, the probability is represented s:

P(x \le 3.24) = P(z \le 2)

From z probability

P(z \le 2) = 0.97725

Hence:

P(x \le 3.24) = 0.97725

You might be interested in
What's the axis of symmetry of y = 3x2 - 6x + 4
Alex17521 [72]

Answer:6x+6... not sure

Step-by-step explanation:

Sry if I’m wrong

3 0
2 years ago
Read 2 more answers
Does each equation represent exponential decay or exponential growth?
lisov135 [29]

Answer:

1. H = 5.9(0.82)^{t}. Exponential decay function.

2. y = 0.8(3.6)^{t}. Exponential growth function.

3. f(t) = 0.72(15)^{t}. Exponential growth function.

4. A = \frac{4}{9} (8)^{t}. Exponential growth function.

5. A = (\frac{4}{3})^{t}. Exponential growth function.

6.  H = \frac{7}{2} (\frac{5}{6} )^{t}. Exponential decay function.

7. g(x) = 0.3(x). Not an exponential function.

Step-by-step explanation:

1. H = 5.9(0.82)^{t}. This is an exponential decay function.

As the value of t increases H-value decreases.

2. y = 0.8(3.6)^{t}. This is an exponential function of growth.

As the value of t increases y-value also increases.

3. f(t) = 0.72(15)^{t}. This is an another example of exponential growth function.

As the value of t increases f(t)-value also increases.

4. A = \frac{4}{9} (8)^{t}. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

5. A = (\frac{4}{3})^{t}. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

6. H = \frac{7}{2} (\frac{5}{6} )^{t}. This is another an example of exponential decay function.

As the value of t increases, H-value decreases.

7. g(x) = 0.3(x). This is a non-exponential function. (Answer)

4 0
3 years ago
both numbers in table have one digit and 3 digit what is the relationship between the values represented in these digits ​
maks197457 [2]

Answer:

inverse

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Find The art length of a sector with an area of 8 square units.
frez [133]
\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
A=8\\
r=4
\end{cases}\implies 8=\cfrac{\theta \pi 4^2}{360}\implies \cfrac{8\cdot 360}{4^2\pi }=\theta 
\\\\\\
\cfrac{2880}{16\pi }=\theta \implies \boxed{\cfrac{180}{\pi }=\theta }\\\\
-------------------------------\\\\

\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta =\frac{180}{\pi }\\
r=4
\end{cases}\implies s=\cfrac{\frac{180}{\underline{\pi} }\underline{\pi} \cdot 4}{180}\implies s=\cfrac{\underline{180}\cdot 4}{\underline{180}}
\\\\\\
\boxed{s=4}

if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.

that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.
6 0
3 years ago
In a right triangle, one of the exterior angles measures 155°. What is the measure of the non-adjacent, non-right angle?
tangare [24]
180 - 155 = 25
90 - 25 = 65
<span>B: 65 </span>°
3 0
3 years ago
Other questions:
  • The coordinates for the vertices of a right triangle are (1, 4), (6, 4), and (6,1). What is the length of the longer leg?
    8·1 answer
  • On a trip, the Olsons drove 165 miles in 3 hours. They keep the same average speed the whole trip. Which proportion can be used
    8·1 answer
  • Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms of the equation: y=(x-
    9·1 answer
  • JOIN ME ON AMOUNG US <br>RSARTQ<br>plz join​
    6·2 answers
  • How does this geometry look before I email it to my teacher ??
    10·1 answer
  • I need help doing this ?
    8·2 answers
  • Colin bought a postcard for 45 cents . he gave the cashier $1 how much change did he receive
    5·1 answer
  • How do You get the range in a quadratic
    8·1 answer
  • Can somebody help me please ​
    6·1 answer
  • Please tell me the answer <br> I will mark you brainlist <br> (Deadline is soon)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!