All categories

4 years ago

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

1 answer:

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:

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:

Step-by-step explanation:

25% of 20 is 5 5*3=15

4 0

3 years ago