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
pychu [463]
4 years ago
10

If z is a standard normal variable, find the probability. the probability that z lies between -2.41 and 0

Mathematics
1 answer:
Olegator [25]4 years ago
5 0

To solve this problem, what we can do first is to find for the value of probability (p value) using the standard distribution tables for z. Looking at the table, we can see that the p values are:

 

when z = - 2.41:

p value = P (z = - 2.41) = 0.0080

 

when z = 0:

p value = P (z = 0) =  0.5000

 

The probability that z lies between – 2.41 and 0 is the difference of the two probabilities, with the bigger probability subtracted by the smaller probability. That is:

 

P (0 ≥ z ≥ -2.41) = 0.5000 - 0.0080

P (0 ≥ z ≥ -2.41) = 0.4920

You might be interested in
The figure below shows the design of a truss to support the weight of a roof. In this truss design, ∠A⩭∠D and ĀF⩭DF.
bearhunter [10]

Answer:

m\angle A= 30^{\circ}

Step-by-step explanation:

In the question, we're given \angle A\cong \angle D. Therefore, the measure of these two angles must be equal.

To find the value of x, set these two angles equal to each other:

4x-26=x+16

Add 26 and subtract x from both sides:

3x=42

Divide both sides by 3:

x=\frac{42}{3}=14

Since \angle A was labelled as 4x-26, substitute x=14 to find its measure:

\angle A=4(14)-26,\\\angle A=56-26,\\\angle A=\boxed{30^{\circ}}

You can also substitute x=14 into the label of angle D as angle A is congruent to angle D for easier calculations (14+16=\boxed{30^{\circ}}).

5 0
3 years ago
12. Zachary Tylar 72% commission? earns commission on sales of $4,255. What is his commission ​
ioda

Answer:

$3063.6

Step-by-step explanation:

72% of $4,255 = $3063.6

The formula for finding percents is number x percent ÷ 100.

4,255 x 72 ÷  100 = 3063.6

8 0
2 years ago
Can you guys answer these questions please i have allot of work and im trying to do multiple things i know its allot of question
mr_godi [17]

Answer:

um

Step-by-step explanation:

whats the question?

4 0
3 years ago
Big Ben, the famous clock tower in London, has a minute hand that is 14 feet long. How far does the tip of the minute hand of Bi
ycow [4]

Answer:

36.65 ft (2 dp)

Step-by-step explanation:

  • Angles around a point sum to 360°
  • 1 hour = 60 minutes

Therefore, the minute hand of a clock travels 360° in 60 minutes

Number of degrees the minute hand will travel in 25 minutes:

\sf =\dfrac{360}{60} \times 25=150^{\circ}

To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:

\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)

\textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}

Given:

  • r = length of minute hand = 14 ft
  • \theta = 150°

\begin{aligned}\implies \textsf{Arc length} &=2 \pi (14)\left(\dfrac{150^{\circ}}{360^{\circ}}\right)\\ & = 28\pi \left(\dfrac{5}{12}\right)\\ & = \dfrac{35}{3} \pi \\ & = 36.65\: \sf ft\:(2\:dp)\end{aligned}

4 0
2 years ago
Suppose there are 20 questions on a multiple choice test.if 25% of the answers are choice B how many of the answers are not choi
victus00 [196]

Answer:

15

Step-by-step explanation:

25% of 20 is 5 5*3=15

4 0
3 years ago
Other questions:
  • The table below shows selected points from a function.
    9·1 answer
  • I need to know the anawer
    13·2 answers
  • What is the next term of the geometric sequence?<br> 40/27, 20/9, 10/3
    14·1 answer
  • Who knows about ratios
    5·1 answer
  • Lisa walked 8 km more than Tim. Lisa walked twice as far as Tim. How far did each walk?
    14·1 answer
  • For which prime p,p4+8 is also a prime number
    8·1 answer
  • A line has the equation y=x. It is translated up by 3 units. What is the equation of the new line?
    9·2 answers
  • Help I need help with 4
    10·1 answer
  • 8.17 8.073 8.2<br> 8.03 8.063<br> 8.016<br> Least to greatest
    8·2 answers
  • Slope = -1, y-intercept = 3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!