The random variable X is known to be uniformly distributed between 2 and 12. Compute E(X), the expected value of the distribution.
Please explain how to do this using EXCEL.

The required equation of green and blue line is y = 3x- 4 and y = x+1

The standard equation of a line is expressed as y = mx + b

where;

m is the slope

b is the y-intercept

Note that the y-intercept is the point where the line cuts the y-axis

From the graph, the y-intercept of the green line is 3 while that of the blue is 1. This shows that the required equation of green and blue line is y = 3x- 4 and y = x+1

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Water is the Adjacent of this right triangle. 350 yards is the length of the Hypotenuse. We have given angle B, 40 degrees.

_________________________________________________________

According to SOH CAH TOA, we use CAH (cosineΘ = adjacent/hypotenuse).

cosine40 = x/350

[multiply both sides by 350]

350 · cosine40 = x

[put calculator in degree mode]

x ≈ 268 yards

So, the distance across the water from sailboat to the island is 268 yards.

_________________________________________________________

Let's use pythagorean theorem since we already know the adjacent and hypotenuse to find the opposite (opposite is also known as height).

a^2 + b^2 = c^2

a^2 + (268)^2 = (350)^2

a^2 + 71824 = 122500

a^2 = 122500 - 71824

a^2 = 50676

[square both sides]

\(\sqrt{a^2}\) = \(\sqrt{50676}\)

a = \(\sqrt{50676}\)

a ≈ 225

So, the height, opposite, of the lighthouse is 225 yards.

_________________________________________________________

Answer: Assuming 3x 30 = 3x+30, x = 15

Step-by-step explanation:

Complementary angles sum to 90.

Therefore, x + 3x + 30 = 90

4x = 60

x = 15

Answer:

Step-by-step explanation:

density is weight divided by volume. And the volume of a log is like a cylinder.

V=hpi(r^2) in this case

V=25(30)pi=750pi so

d=(42.63)/(750pi)

d=0.018 lb/in^3

Answer:

D

Step-by-step explanation:

The correct answer is a male with one recessive allele.

The person labelled X is not shaded, as can be seen from the pedigree, hence it cannot bear the alleles rr. As a result, the individual is heterozygous, carrying both a dominant and a recessive allele.

here, we have,

Explanation:

As we can see, a homozygous recessive parent and a heterozygous parent are crossed to produce the offspring.

These are the results of such a cross:

       r      r

R      Rr    Rr

r       rr     rr

The results of the cross indicate that the progeny from such a hybrid will either be heterozygous dominant with unattached ear lobes or they will have both recessive alleles with attached ear lobes.

The person labelled X is not shaded, as can be seen from the pedigree, hence it cannot bear the alleles rr. As a result, the individual is heterozygous, carrying both a dominant and a recessive allele.

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complete question:

Attached earlobes are a recessive trait in humans. In the tree below, people

I with attached earlobes are shaded in. Which best describes the person

labeled X in the tree?

A. A male with one recessive allele

B. A female with one recessive allele

C. A male with no recessive alleles

D. A female with no recessive alleles

Step-by-step explanation:

6m + 3z + 4m + 2w - 5z

6m + 4m + 3z - 5z + 2w

10m - 2z + 2w

Therefore the answer is 10m -2z + 2w

The following linear equation gives Johnny's savings w weeks after her opened the account.

S(w) = $95 + $15*w

We know that initially, Johnny deposits an amount of $95, and then he saves $15 per week.

So, after w weeks, the amount in that savings account will be:

S(w) = $95 + $15*w

This linear equation gives the bank account balance w weeks after her opened the account.

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Answer: 5/12 inches taller

Answer:

1) 200 2) 7 3) 12.5

Step-by-step explanation:

For god's sake, use a calculator

Answer:

50 + 25x = 1600

Step-by-step explanation:

The equation that represents the exponential function passing through the points (-2, 1) and (2, 16) is: y = 4(2)^x

To write the exponential equation that passes through the points (-2, 1) and (2, 16), we can use the general form of an exponential function:

y = ab^x

Where y is the dependent variable, x is the independent variable, a is the initial value or y-intercept, and b is the base of the exponential function.

Step 1: Determine the value of a.

To find the value of a, substitute the coordinates of one of the given points into the equation. Let's use (-2, 1):

1 = ab^(-2)

Step 2: Determine the value of b.

To find the value of b, substitute the coordinates of the other given point into the equation. Let's use (2, 16):

16 = ab^2

Step 3: Solve the system of equations.

We now have a system of two equations with two unknowns (a and b):

1 = ab^(-2)

16 = ab^2

We can solve this system of equations to find the values of a and b. To do this, divide the second equation by the first equation:

16 / 1 = (ab^2) / (ab^(-2))

16 = b^4

Taking the fourth root of both sides, we get:

b = ±2

Step 4: Substitute the value of b back into one of the original equations to solve for a.

Let's substitute b = 2 into the first equation:

1 = a(2)^(-2)

1 = a / 4

a = 4

Alternatively, if we had chosen b = -2, we would have obtained a = -4, and the equation would be:

y = -4(-2)^x

Both equations represent exponential functions that pass through the given points.

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Answer:

5,5,7,*9,11,*12,16,23

Step-by-step explanation:

Since, the data has an even amount of numbers once, you put your numbers in order you place your pointer fingers from the 1st to last number & continue to move closer. There is an even amount of numbers so you would have to add the 2 numbers up & then divide them by 2.

9+11=20 divided by 2=10

Answer:

in favor of rolling a number less than 3.

Pls give me brainyest

Step-by-step explanation:

The scale factor k=5

corresponding parts are:

AL--> TD

TK---> AH

DK---> LH

angle A-----> angle T

angle D-----> angle L

angle H-----> angle K

What is scale  factor?

The difference in scale between an original object's scale and that of a new, smaller representation is known as a scale factor (bigger or smaller). By multiplying each side by a certain number, say 2, we can increase the size of a rectangle with sides of 2 cm and 4 cm.

The letter H lies on the line TK

Scale factor k

=( side length of new image)/ ( corresponding side length of new image)

=TD/AL=15/3=5

k=5

From the figure, corresponding parts are as below:

AL--> TD

TK---> AH

DK---> LH

angle A-----> angle T

angle D-----> angle L

angle H-----> angle K

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The beginning inventory of Madison Manufacturing must have been $27,300. The Option D.

Beginning inventory is the total monetary value of items that are in stock and ready to use or sell at the start of an accounting period. The equation is usually: Beginning Inventory + Purchases - Cost of Goods Sold = Ending Inventory

Let X be the beginning inventory:

X + $72,800 - $35,100 = $65,000

X = $65,000 - $72,800 + $35,100

X = $27,300

Therefore, the beginning inventory of Madison Manufacturing must have been $27,300.

Full question:

Madison Manufacturing's ending inventory count was $65,000, sales revenue was $50,000, cost of goods sold was $35,100, and purchases were $72,800, its beginning inventory must have been:

Multiple Choice

$42,900.

$42,200.

O $102,700.

O $27,300.

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The given T-ARCH model represents a time-varying volatility model with a parameter α. The model calculates the values of h, which represent conditional variances, based on the previous error term (e-1) and a lagged value of the conditional variance (yd1-1).

The task is to determine the values of h when the error term (e) takes different values, specifically when y is zero and when y is not zero. The key difference between these cases will be explained.

(a) When y is zero, the values of h can be determined by substituting the given values of the error term (e-1) into the model equation. Specifically, we need to calculate h when e-1 equals -1, 0, and 1. By plugging in these values and solving the equation, we can find the corresponding values of h, which represent the conditional variances in each case.

(b) When y is not zero, the values of h will depend on both the error term (e-1) and the value of y. Similarly, we need to calculate h when e-1 equals -1, 0, and 1, but this time taking into account the non-zero value of y. The key difference between the case where y is zero and the case where y is not zero is that the presence of y introduces an additional factor that influences the values of h. This factor represents the impact of the non-zero value of y on the conditional variances, resulting in potentially different values compared to the case where y is zero.

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Answer:

the answer is D. \((7x + 3) 8\)

Step-by-step explanation:

hope this helps :)

If Pooja's plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died , then the most appropriate for the domain of h is (c) -2 ≤ t ≤ 98  .

The term Domain is defined as the set of its possible inputs .

number of days before which the Pooja's plant sprouted = 2 days ,

the number of days Pooja had the plant is = 98 days ,

the height of the plant is denoted by the function ; h(t) .

where "t" is the number of days after she bought the plant .

From the above data , we can conclude that the domain for the function h(t) is -2 ≤ t ≤ 98   .

Therefore , the correct option is (c) -2 ≤ t ≤ 98  .

The given question is incomplete , the complete question is

Pooja's plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died. at its tallest, the plant was 30 centimeters tall. h(t) models the height of Pooja's plant (in centimeters), t days after she bought it. Which number type is more appropriate for the domain of h ?

(a) 0 ≤ t ≤ 30

(b) 0 ≤ t ≤ 100

(c) -2 ≤ t ≤ 98

(d) 2 ≤ t ≤ 30

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Answer: a. (x-8)(x-4)

b. (x-8)(x-6)

c. (x-2)(x-1)

Step-by-step explanation:

a. x^2-12x+32=

x^2-4x-8x+32=

x(x-4)-8(x-4)=(x-8)(x-4)

b. x^2-14x+48=

x^2-6x-8x+48=

x(x-6)-8(x-6)=(x-8)(x-6)

c. x^2-3x+2=

x^2-x-2x+2=

x(x-1)-2(x-1)=(x-2)(x-1)

Answer:

Median : 11.5, or 12 if you round it up.

Mean : 10.9 rounded up 10.875 not rounded.

Hope this help's, enjoy!

Answer:

C. y = 2 (x + 3)³ − 4

Step-by-step explanation:

y = x³

Stretch vertically by 2.

y = 2x³

Shift horizontally 3 units to the left.

y = 2 (x + 3)³

Shift vertically 4 units down.

y = 2 (x + 3)³ − 4

Answer:

19.1

Step-by-step explanation:

Answer:

11th term is 0

Step-by-step explanation:

30, 27 , 24 ,......0

a = first term = 30

Common difference = second term - first term = 27 - 30 = -3

nth term = a+(n-1)*d

a + (n-1)d = 0

30 + (n - 1) *(-3) = 0

30 + n*(-3) -1*(-3) = 0

30 - 3n + 3 = 0

      -3n + 33 = 0

               -3n = -33

                   n = -33/-3

n = 11

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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Answer:

4x² + 11x + 6 = (x + 2)(4x + 3)

A two-dimensional form having four sides, four vertices, and four angles is referred to as a quadrilateral. Examples are: Trapezium, Parallelogram, Rectangle, Rhombus, Square and Kite.

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

The Latin words quadra, which means four, and latus, which means sides, are combined to form the English term quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides. As a result, depending on the sides and angles, we might have several sorts of quadrilaterals. Hence a Quadrilateral is of 4 sides, vertices and angles. It consists of 360 degrees.

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Answer:

To find the slope and y-int, put it into slope-intercept form by isolating y.

Step-by-step explanation:

the probability that Max will find the first faulty light bulb on the 6th one that he tests is approximately 0.059, rounded to 3 decimal places.

To calculate the probability that Max will find the first faulty light bulb on the 6th one that he tests, we can use the geometric probability distribution formula:

P(X=k) = (1-p)^(k-1) * p

Where X is the number of trials until the first success (finding a faulty light bulb), p is the probability of success on any one trial (finding a faulty light bulb), and k is the specific trial we are interested in (in this case, k = 6).

Assuming that the probability of finding a faulty light bulb is constant and independent for each trial (i.e., each light bulb has the same probability of being faulty), we can set p = 1/10 (since there are 10 light bulbs and only one is faulty).

Plugging in the values, we get:

P(X=6) = (1-1/10)^(6-1) * (1/10)
P(X=6) = (9/10)^5 * (1/10)
P(X=6) = 0.059049

Therefore, the probability that Max will find the first faulty light bulb on the 6th one that he tests is approximately 0.059, rounded to 3 decimal places.
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