MATHEMATICS COLLEGE

A hat contains cards with different colors.Annabella randomly selects a card from
the hat and returns the card to the hat
after noting the color. After randomly
selecting a card 300 times, she has picked
a purple card 70 times. Based on her
results, what is the estimated probability
that Annabella selects a purple card?
A 7/37 B 7/30 C 7/23 D 23/30

Answers

Answer 1

Answer:

Answer:

B 7/30

Step-by-step explanation:

P (Purple) = 70 / 300 = 7/ 30

Answer 2

Answer:

Answer:

Step-by-step explanation:

Purple-70/300=7/30

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In some division problems, a number or pattern of number that continues indefinitely is a?

Find the slope of the line y=1

Answers

The Slope is 0. The graph will not rise or fall

True it will go across the positive 1 line on the y axis

Hot air balloons are able to fly at a very high altitudes a world record height of 64997 feet was set in 1988 in 2005 a new record of 68986 feet was set how many feet higher was 2005 record than the 1988 récord first draw a diagram to show the parts of the problem

Answers

Answer:

just do 68986

- 64997

______

3,989

The lifetime of a certain type of battery is normally distributed with mean value 11 hours and standard deviation 1 hour. There are four batteries in a package. What lifetime value is such that the total lifetime of all batteries in a package exceeds that value for only 5% of all packages?

Answers

Answer:

The lifetime value needed is 11.8225 hours.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = (X - \mu)/(\sigma)$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

The lifetime of a certain type of battery is normally distributed with mean value 11 hours and standard deviation 1 hour. This means that $\mu = 11, \sigma = 1$ .

What lifetime value is such that the total lifetime of all batteries in a package exceeds that value for only 5% of all packages?

This is the value of THE MEAN SAMPLE X when Z has a pvalue of 0.95. That is between Z = 1.64 and Z = 1.65. So we use $Z = 1.645$

Since we need the mean sample, we need to find the standard deviation of the sample, that is:

$s = (\sigma)/(√(4)) = 0.5$

So:

$Z = (X - \mu)/(s)$

$1.645 = (X - 11)/(0.5)$

$X - 11 = 0.5*1.645$

$X = 11.8225$

The lifetime value needed is 11.8225 hours.

In the 1980s land prices in Japan surged upward in a ""speculative bubble."" Land prices then fell for 11 straight years between 1990 and 2001. What can we safely assume happened to land rent in Japan over those 11 years? Use graphical analysis to illustrate your answer.

Answers

Answer:

Step-by-step explanation:

Given the supply of land is perfectly inelastic, the drop in prices must have resulted from decreased demand for land. The demand for land would fall if there were less of a return on the land (i.e., rent), so we can safely assume that land rent fell in Japan between 1990 and 2001. The shifts from D3 to D2 to D1 demonstrate graphically what happened in Japan.

In the standard (x,y) coordinate plane below, the points ( 0,2), (8,2), (3,6), and (11,6) are the vertices of a parallelogram. What is the area, in square units, of the parallelogram

Answers

The area of the parallelogram is 32 square units.

What is a parallelogram?

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

First, we can plot the points on the coordinate plane to get a better visual understanding of the parallelogram:

| (3,6) (11,6)

| *-----------*

| / /

| *-----------*

| (0,2) (8,2)

Now,

We can see that the base of the parallelogram is the line segment connecting (0,2) and (8,2), which has a length of 8 units.

To find the height of the parallelogram, we can observe that the line segment connecting (0,2) and (3,6) is perpendicular to the base, and has a length of 4 units.

Therefore,

The height of the parallelogram is 4 units.

Now,

The area of a parallelogram is given by the formula:

Area = base x height

Plugging in the values we found, we get:

Area = 8 x 4

Area = 32

Therefore,

The area of the parallelogram is 32 square units.

Learn more about parallelograms here:

brainly.com/question/1563728

#SPJ2

Your area would be 32, 8 by 4 is what the formula is

At a large department store, the average number of years of employment for a cashier is 5.7 with a standard deviation of 1.8 years, and the distribution is approximately normal. If an employee is picked at random, what is the probability that the employee has worked at the store for over 10 years? 99.2% 0.8% 49.2% 1.7%