Suppose that the value of a stock varies each day from $9.82 to $26.17 with a uniform distribution. Find the third quartile; 75% of all days the stock is below what value? (Enter your answer to the nearest cent.)

Answer:

26π

Step-by-step explanation:

radius=13

double radius to find diameter

diameter=26

equation for circumference= π×d

circumference= 26π

Answer: a = 5 and k = 1/2

Step-by-step explanation:

We are given that the function is defined by:

f(x) = 16 + a(3^(kx))

We need to find the real numbers a and k such that f(0) = 21 and f(4) = 61. Using the given values of f(0) and f(4), we can form a system of two equations:

f(0) = 16 + a(3^(k(0))) = 21

f(4) = 16 + a(3^(k(4))) = 61

Simplifying the first equation, we get:

16 + a(3^0) = 21

16 + a = 21

a = 5

Substituting this value of a into the second equation, we get:

16 + 5(3^(4k)) = 61

5(3^(4k)) = 45

3^(4k) = 9

We know that 3^2 = 9, therefore

4k = 2

=> k = 2/4

=> k = 1/2

Therefore, the real numbers a and k that satisfy the given conditions are a = 5 and k = 1/2. So the function is:

f(x) = 16 + 5(3^(x/2))

The solution to the equation give us an approximate that x = 1.55.

To solve this equation, we can start by subtracting 4 from both sides to isolate the exponential term:

3.5^x + 4 - 4 = 11 - 4

This simplifies to:

3.5^x = 7

Next, we can take the logarithm of both sides with base 3.5 to eliminate the exponent:

log(3.5^x) = log(7)

Using the property of logarithms that log(a^b) = b*log(a), we can rewrite the left side as:

x*log(3.5) = log(7)

Now, we can solve for x by dividing both sides by log(3.5):

x = log(7) / log(3.5)

Plugging in the values, we get:

x = 0.84509804001 / 0.54406804435

x = 1.55329475566

x ≈ 1.55.

Answered question "Solve the equation 3.5^x + 4 = 11"

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To find the value of a6, we need to first determine the value of a2, a3, a4, and a5 using the given recurrence relation:

a1 = 6

a2 = 5a1 = 5(6) = 30

a3 = 5a2 = 5(30) = 150

a4 = 5a3 = 5(150) = 750

a5 = 5a4 = 5(750) = 3750

Now, we can find a6 using the recurrence relation:

a6 = 5a5 = 5(3750) = 18750

Therefore, the value of a6 is 18750.

There are four significant digits in the number 9.15 x 10⁴.

The digits that provide the number with useful information are known as the important digits.

As they add to the value of the number in this instance, the numbers 9, 1, and 5 are all important.

The exponent, 4, just instructs us on how many places to relocate the decimal point, therefore it has no bearing on the number of significant digits.

Therefore, the number 9.15 x 10⁴ has four significant digits.

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Answer:

y = (3/2)x + 17/2

Slope: 3/2

Step-by-step explanation:

y + 2 = 3/2 (x+7)

y + 2 = (3/2)x + 21/2

y = (3/2)x + 21/2 - 2

y = (3/2)x + 21/2 - 4/2

y = (3/2)x +17/2

The ratios of each type are:

1/4 has big beak (BB)

2/4  has big short beak (Bb)

1/4 has short beak (bb)

A Punnett square is a diagram used to predict the possible outcomes of a genetic cross between two individuals.

               B          b

B            BB        Bb

b             Bb        bb

We have 1 BB, this implies that we have one bird with big beak.

We have 2 Bb, this implies that we have two bird with big short beak.

We have 1 bb, this implies that we have one bird with short beak.

The ratios of each type are:

1/4 (i.e. 25%) has big beak (BB)

2/4 (i.e. 50%) has big short beak (Bb)

1/4 (i.e. 25%) has  short beak (bb)

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Answer:

We can use the Central Limit Theorem to solve this problem since we are dealing with a sample size greater than 30. The distribution of sample means will be approximately normal with a mean of 74 beats per minute and a standard deviation of 12.5 / sqrt(4) = 6.25 beats per minute.

To find the probability that the mean pulse rate of 4 adult females is between 70 and 78 beats per minute, we need to calculate the z-scores for both values and then use a z-table or calculator to find the area under the normal curve between those two z-scores.

The z-score for 70 beats per minute is:

z = (70 - 74) / 6.25 = -0.64

The z-score for 78 beats per minute is:

z = (78 - 74) / 6.25 = 0.64

Using a standard normal distribution table or calculator, the area between these two z-scores is approximately 0.4115.

Therefore, the probability that 4 adult females have pulse rates with a mean between 70 and 78 beats per minute is approximately 0.4115 or 41.15%.

Answer:

Step-by-step explanation:

C

Answer:

x = 360°/8 = 45°

y = 2 × 45° = 90°

Answer:2^1 × 3^2 × 13^1

Step-by-step explanation:

a) The break-even point for the division is: 4000 units

b) The level of sales for 10% profit is: 4681 units

The break-even point is defined as the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. In other words, you've reached the level of production at which the costs of production equals the revenues for a product.

a) We are told that:

Selling price for income tax app = $8

Monthly fixed cost = $20000

Variable cost producing each app = $3

Thus:

8x = 3x + 20000

5x = 20000

x = 4000 units

b) 8x = 1.1(3x + 20000)

8x = 3.3x + 22000

4.7x = 22000

47x =220000

x = 4681 units

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Missing questions are:

(a) Find the break-even point for the division.

(x,y)=

(b) What should be the level of sales in order for the division to realize a 10% profit over the cost of making the income tax apps? (Round your answer up to the nearest whole number.)

Answer:

Step-by-step explanation:

Step-by-step explanation:

4=2×2

8=2×4

12=2×6

16=2×8

20=2×10

24=2×12

Answer:

answer is ( J )

Step-by-step explanation:

The word that would indicate that the course is taught at a faster pace than the other science courses is "accelerated." Therefore, the correct answer is J.

The probability of picking a jack and spinning an odd number is 2/9.

Let's first list the sample space in set notation for picking a card (jack, queen, or king) and spinning a 3-section spinner with the numbers 5, 8, and 9:

The sample space is {(jack-5, jack-8, jack-9, queen-5, queen-8, queen-9, king-5, king-8, king-9)}

Now, to find the probability of picking a jack and spinning an odd number, we need to count the outcomes that meet these conditions and divide it by the total number of outcomes in the sample space.

There are two outcomes that meet these conditions: jack-5 and jack-9.

So, the probability is the number of favorable outcomes divided by the total number of outcomes:

P(jack, odd number) = 2 (favorable outcomes) / 9 (total outcomes) = 2/9

Thus, the probability of picking a jack and spinning an odd number is 2/9.

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6 inches will be the length of the patio.

According to the scale, 1 inch on the plan corresponds to 3.5 feet in real life.

We must convert the patio's real length of 21 feet to inches using the scale in order to determine how long it would look on the blueprint:

3.5 feet to one inch

21 feet in x inches

If we cross-multiply, we obtain:

1 inch/3.5 feet * 21 feet

= x inches

= 6 inches.

As a result, the length of the patio will be indicated on the blueprint as 6 inches.

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The slope-intercept form of the equation is y = 18x.

To find the function in slope-intercept form, we have to write the general form below as;

y = mx + c

m = slope

c = y-intercept

To find the slope, we need to take two points from the table given;

slope (m) = y2 - y1 / x2 - x1

m = 720 - 450 / 40- 25

m = 18

The slope of the line is 18

we can use this with any point to find the y - intercept

y = mx + c

720 = 18(40) + c

720 = 720 + c

c = 720 - 720

c = 0

The equation of the line in slope-intercept form is y = 18x

b. To determine how far he travelled with 55 gallons of gas

y = 18x

y = 18(55)

y = 990 miles

c. How many gallons will be required to cover 630 miles

y = 18x

630 = 18x

x = 630 / 18

x = 35 gallons

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Answer:i think it is c

Step-by-step explanation:

The interval(s) for which the function is decreasing are (3, 1) and (4, ∝)

From the question, we have the following parameters that can be used in our computation:

The graph

The interval(s) for which the function is decreasing is when

As x increases, the function values decreases

Using the above as a guide and examining the graph, we have the following:

The function is decreasing at (3, 1) and (4, ∝)

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Answer:

A. m∠X = 50°, AC = 3 cm

Step-by-step explanation:

If ABC is congruent to XYZ then the corresponding angle and sides are congruent so:

∠A = ∠X

∠B = ∠Y

∠C = ∠Z

and

AB = XY

BC = YZ

AC = XZ

Because we know m∠A is 50° and ∠A and ∠X are congruent then m∠X is also 50°

And because we know XZ is equal to 3 cm and XZ and AC are congruent  then AC is also 3 cm

Answer:

6 and 2/3

Step-by-step explanation:

4 divided by 3/5 is the same as 4 divided by 0.6

4 divided by 0.6 equals 6.6 repeating...

or

6 and 2/3

Answer: B

Step-by-step explanation:

The word that would indicate that the cat was afraid of the veterinarian is "cowered." "Cowered" means to crouch down in fear or shame. So, the sentence would be: "The cat cowered under the table when the veterinarian came into the examining room."

Step-by-step explanation:

706 -25 = 681 ====>    which is three pieces of 681/3 = 227 m

              but one is 25 m longer so 227,  227 , and 227 + 25 =252 m

The method you would use to prove the two triangles are congruent include the following: B. ASA.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides are proportional to the  lengths of corresponding altitudes when two (2) triangles are similar.

In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

you did not provide enough information to answer the question

Answer:

Step-by-step explanation:

The first one is C!

And the second one is E!

If this helps, go to math-way, and type in each of the equations and it will graph it for you!

Answer:

To find the value of f(-1), we need to substitute -1 for x in the given function:

f(x) = 3x² + 1 - 1

f(-1) = 3(-1)² + 1 - 1

f(-1) = 3(1) + 0

f(-1) = 3

Therefore, f(-1) is equal to 3.

If the hiker is 6 feet tall, then the height of the waterfall will be: 32.57 feet.

We can solve this problem using similar triangles. Let us call the height of the waterfall "h". Then, the distance from the base of the waterfall to the mirror is also "h" (since the mirror reflects the top of the waterfall down to the hiker's eye).

Using similar triangles, we can set up the following proportion:

(h + 6 feet) / 45 feet = 6 feet / 7.5 feet

Cross-multiplying and simplifying, we get:

h + 6 feet = 270 feet / 7

h + 6 feet = 38.57 feet

h = 32.57 feet

So, the correct height given the variables is 32.57 feet.

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Answer:

36 ft

Step-by-step explanation:

We can use the concept of similar triangles to solve this problem. The ratio of the heights of the hiker and the waterfall is the same as the ratio of their distances to the mirror.

Given:

Distance from mirror to waterfall = 45 feet

Distance from mirror to hiker = 7.5 feet

Hiker's height = 6 feet

Let's set up a proportion:

(Hiker's height) / (Hiker's distance to mirror) = (Waterfall's height) / (Waterfall's distance to mirror)

Substitute the given values:

6 / 7.5 = (Waterfall's height) / 45

Now solve for the height of the waterfall:

Cross-multiply:

6 * 45 = 7.5 * (Waterfall's height)

270 = 7.5 * (Waterfall's height)

Divide by 7.5:

Waterfall's height = 270 / 7.5

Waterfall's height = 36 feet

So, the height of the waterfall is 36 feet.

Among the provided options, the correct answer is:

a) 36 ft