Z is in accordance with N(0,1). Calculate the questions
below:
i) P(-2.3 ≤ Z ≤ 1.54) (including 3 digits after decimal)
ii) The 95th percentile of Z? (including two digits after
decimal)
iii) P(Z

The method of reduction of order is a technique used to find a second solution to a homogeneous linear differential equation when one solution is already known.

However, it cannot be directly used for nonhomogeneous linear differential equations. In nonhomogeneous equations, the method of undetermined coefficients or variation of parameters is typically used to find a particular solution.

Therefore, the statement "the method of reduction of order can also be used for the nonhomogeneous equation" is false. It is important to understand the different techniques for solving differential equations, and to choose the appropriate method based on the type of equation and boundary conditions given.

To know more about homogeneous linear differential equation visit:

https://brainly.com/question/31129559

#SPJ11

The equivalent form of y = 2e^0. 4t is y = 2(1 + (e^0.4 - 1))^t. Here a = 2 and r = e^0.4 - 1.

What are the properties of exponents?

The exponential formulas are

a^m × a^n = a^(m + n)

a^m/a^n = a^(m - n)

(a^m)^n = a^(mn)

The given equation is y = 2e^0. 4t.

Putting y = a(1+r)^t in the given equation y = 2e^0. 4t:

a(1+r)^t = 2e^0. 4t

The value of a is 2.

The equation becomes:

(1+r)^t = e^0. 4t

Taking logarithm on both sides:

log(1+r)^t = log e^0. 4t

Applying logarithm formula log a^m = m log a:

t log(1+r) = 0.4t log e

Cancel out t from both sides:

log(1+r) = 0.4 log e

Applying the logarithm formula log a^m = m log a:

log(1+r) =  log e^0.4

Therefore, 1 + r =  e^0.4

r =  e^0.4 - 1

Putting r =  e^0.4 - 1 and a = 2 in y = a(1+r)^t

y = 2(1 + e^0.4 - 1)^t

y =  e^0.4t (true)

Putting  r =  e^0.4 - 1 and a = 2 in y = a(1 - r)^t

y = a(1 - e^0.4 + 1)^t

y = a(2 - e^0.4)^t

To learn more about exponents, click on below link:

https://brainly.com/question/5508539

#SPJ4

Answer:

Correct answer: 74.4

Step-by-step explanation:

Using the line of best fit, y = 1.7x + 54

y = 1.7(12) + 54

y = 74.4

Circle the first line.

His mistake was: He substituted y from 2nd equation in 1st equation incorrectly. There is a minus sign before y and it wasn't taken into the account.

The correct steps are:

2x - y = 18

2x - (4x + 2) = 18

2x - 4x - 2 = 18

-2x - 2 = 18

-2x = 20

x = -10

y = 4x + 2

y = 4(-10) + 2

y = -40 + 2

y = -38

Answer: soo if the bill is $38

then 15% times 100 = 0.15

38.00 x 0.15 = $5.7

Step-by-step explanation:

Answer:

$5.7 as a tip

A ball is thrown vertically upward. As it rises, its kinetic energy decreases.

The kinetic energy of a moving object depends directly upon the square of its velocity, as the ball rises, the velocity decreases due to air friction and other factors, leading to decrease in its kinetic energy.

When we throw the ball in the upward direction, potential energy is transferred by us to the ball which helps the ball to rise upto a certain height, since the ball has gained kinetic energy.But as the height at which the ball keeps on increasing the kinetic energy decreases and at a certain point it becomes zero. The gravity continuously acts on the ball which leads to maximum potential energy. Thus the kinetic energy decreases and the potential energy increases.

Thus A ball is thrown vertically upward. As it rises, its kinetic energy decreases.

To learn more about kinetic energy refer here

https://brainly.com/question/29339663

#SPJ4

Explanation:

The more trials you do, the closer the experimental probability will get to the theoretical probability.

For example, if you flip a coin 1000 times, then you'll probably get around 500 heads or so. Maybe you could get 475 heads and 525 tails. This leads to an experimental probability of 475/100 = 0.475 of getting heads. If you flip a coin 10,000 times, then you are likely to have the experimental probability of getting heads move closer to 0.500

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step

7 yellow, 5 green, 3 blue...total of 15

P(yellow party hat) = 7/15

do not replace

P(yellow hat) = 6/14

P(both) = 7/15 * 6/14 = 42/210 which reduces to 1/5 or 0.2 or 20%

Hopefully this helps!

The money left is $13.25.

Given data,

Your parents handed you $50 to spend on movie tickets for your sister and brother. You paid $8.25 for your ticket, while your siblings paid $4.25.

To know how much money you bring home after spending an extra $20 on soda and popcorn,

Your entry cost is $8.25

$4.25 for the brother's ticket

Sister's entry fee is $4.25.

$20 for soda and popcorn.

Total = 8.25 + 4.25 + 4.25 + 20.00 = $36.75

You received $50 from your parents.

You have spent $36.75.

Balance: 50.00 - 36.75 = $13.25

To learn more about cost click here:

brainly.com/question/14332852

#SPJ4

The probability of drawing 1 red marble and 1 blue marble from the given boxes is 2/7.

The probability of drawing 1 red marble and 1 blue marble from the given boxes can be calculated using the concept of probability and sample space. The probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. The sample space can be defined as the set of all possible outcomes.

Given, a box contains 4 white marbles and 3 red marbles. A second box has 3 white marbles and 6 blue marbles. If one marble is drawn from each box, the probability that 1 red marble and 1 blue marble will be drawn can be calculated as follows:

The total number of possible outcomes is given by the product of the number of marbles in each box:

Total number of possible outcomes = 7 × 9 = 63

The number of favorable outcomes can be calculated by considering all possible cases where one red marble is drawn from the first box and one blue marble is drawn from the second box.

The number of ways to draw one red marble from the first box = 3
The number of ways to draw one blue marble from the second box = 6

Therefore, the number of favorable outcomes = 3 × 6 = 18

Hence, the probability of drawing 1 red marble and 1 blue marble can be given as follows:

Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 18/63

The probability of drawing 1 red marble and 1 blue marble from the given boxes is 2/7.

Learn more about probability: https://brainly.com/question/13604758

#SPJ11

We need to convert 40 degrees to radians:

Then, we need to use the next equation:

Solve it:

Hence, 40 degrees is equal to 2/9π radians.

Answer:

geometric sequence

ratio

2

Answer:

y(x) = 5x+10

Linear relationship between x and y

Step-by-step explanation:

The initial cost, regardless of time, is $10. cost will then increase at a rate of $5 per hour that the boat is rented. Therefore, the cost (y) of renting a paddle boat for 'x' hours is:

\(y(x) = 5x+10\)

There is a linear relationship between x and y, where 5 is the slope of the equation, 10 is the y-intercept, the number of hours is the independent variable, and the cost is the dependent variable.

Answer:

230 capsules.

Step-by-step explanation:

The following data were obtained from the question:

Taste >>>>>>>>>>> Frequency

Volluto >>>>>>>>>> 12

Livanto >>>>>>>>>> 7

Ristretto >>>>>>>>> 23

Cosi >>>>>>>>>>>> 3

Other >>>>>>>>>>> 5

Next, we shall determine the total frequency.

This is illustrated below:

Total frequency = 12 + 7 + 23 + 3 + 5

Total frequency = 50

Finally, we shall determine the number of Ristretto in 500 capsules.

This can be obtained as follow:

Number of Ristretto = Frequency of Ristretto /total frequency x total capsule

Frequency of Ristretto = 23

Total frequency = 50

Total capsule = 500

Number of Ristretto = 23/50 x 500

Number of Ristretto = 23 x 10

Number of Ristretto = 230.

Therefore, the number of Ristretto in the 500 capsules is 230.

Answer:

130°

Step-by-step explanation:

The measure of the supplement of an angle is 50 more than twice the measure of the complement. Find the measure of the supplement

Let us represent the Angle as x

An Angle + It's supplement = 180°

x + supplement = 180°

Supplement = 180° - x

Angle + Complement = 90°

Complement = 90° - x

The measure of the supplement of an angle is 50 more than twice the measure of the complement.

Supplement = 50 + 2(Complement)

Since = Supplement = 180° - x

Complement = 90° - x

Hence

180° - x = 50 + 2(90° - x)

180° - x = 50 + 180° - 2x

Collect like terms

-x + 2x = 50 + 180 - 180

x = 50°

Angle = x = 50°

We are asked to find the Measure for the supplement

Supplement = 180° - x

Supplement = 180° - 50°

= 130°

Hence, the measure of the supplement = 130°

Last option: The height and weight distributions, respectively, show positive and negative skews.

We know that,

Graphs are used to represent information in bar charts. To depict values, it makes use of bars that reach various heights. Vertical bars, horizontal bars, clustered bars (multiple bars that compare values within a category), and stacked bars are all possible options for bar charts.

we have,

There isn't a lot of data, but it shows that the weights have a negative skew and the heights have a positive skew, with the long tails pointing in opposite directions.

change/ starting point * 100

2.5 millions of books were sold in 1991.

Millions of books sold in 1992 equaled 3.4.

Change = 0.9 (in millions).

0.9/2.5 * 100

= 36%

The height and weight distributions, respectively, show positive and negative skews.

To know more about bar graphs visit:

brainly.com/question/13298277

#SPJ1

The appropriate test to use in this situation is a paired t-test. This test is used to determine if there is a significant difference between two related samples, in this case, the same individuals at two different time points.

In this scenario, a paired t-test is the most suitable test because it is used to analyze paired data, where the same individuals are measured or tested at two different time points. The paired t-test takes into account the correlation between the two measurements within each individual and compares the mean difference between the paired observations to determine if there is a statistically significant change over time.

It is commonly used in longitudinal studies, clinical trials with repeated measures, or before-and-after intervention studies, where the focus is on comparing the same individuals' outcomes over time rather than comparing different groups or populations.

Learn more about paired t-test: https://brainly.com/question/20599669

#SPJ11

Answer:

C. 184 square centimeters

Step-by-step explanation:

4 x 6 = 24

there are 2 of them so you leave it the same

5 x 10 = 50

there are 2 of them so

50 x 2 = 100

6 x 10 = 60

24 + 100 + 60 = 184

184 square centimeters

Answer:

150\(\geq\) 2.50x + 10

Step-by-step explanation:

It's 10 dollars for shipping. Then it is 2.50 times the amount of paper she chooses to by but it cannot be more 150.

Step-by-step explanation:

2x=1.2-0.8

2x=0.4

x=0.4/2=0.2

The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

To learn mote about altitude refer to :

https://brainly.com/question/18530806

#SPJ1

P + 127 = 550        P = 423

Answer:

P = 423  

P + 127 = 550

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

1, 3, 7, 21

Answer:

u seem cool

Step-by-step explanation:

pretty, would want to be friends with

Step-by-step explanation:

Answer and Step-by-step explanation:

To find out the answer, we need to first find how much money it is to buy 1 kg of almonds.

So, do 34 divided by 4.

\(\frac{34}{4} = 8.5\)

Now, multiply 8.5 by 5.

8.5 × 5 = 42.5

The cost for 5 kilograms of almonds is $42.5

#teamtrees #PAW (Water And Plant)

I hope this helps!

Answer:

7040 yards = 4 miles

Step-by-step explanation:

pls mark brainliest