Please help it’s URGENT

For the probability distribution the mean of the random variable X is 5.258 this means that, on average, the crew size of a randomly selected shuttle mission is approximately 5.258.

To find the mean of the random variable X, we multiply each value of X by its corresponding probability and sum them up. Let's calculate it step by step:

x | P(X = x)

2 | 0.064

3 | 0.015

4 | 0.055

5 | 0.276

6 | 0.124

7 | 0.387

8 | 0.079

Step 1: Multiply each value of X by its corresponding probability.

2 × 0.064 = 0.128

3 × 0.015 = 0.045

4 × 0.055 = 0.22

5 × 0.276 = 1.38

6 × 0.124 = 0.744

7 × 0.387 = 2.709

8 × 0.079 = 0.632

Step 2: Sum up the products from Step 1.

0.128 + 0.045 + 0.22 + 1.38 + 0.744 + 2.709 + 0.632 = 5.258

Step 3: The mean (μ) is the sum from Step 2.

μ = 5.258

Learn more about probability distribution at

https://brainly.com/question/29062095

#SPJ4

The question is -

The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts A through c.

x                   2            3              4             5             6             7              8

P(X = x)     0.064     0.015       0.055     0.276      0.124      0.387      0.079

a. Find and interpret the mean of the random variable.

μ=

Answer:

  (d) 10 cm, 15 cm, 23 cm

Step-by-step explanation:

21 cm, 7 cm, 11 cm — 7+11 < 21 . . . not a triangle

7 cm, 23 cm, 11 cm — 7+11 < 23 . . . not a triangle

12 cm, 7 cm, 19 cm — 7+12 = 19 . . . not a triangle

10 cm, 15 cm, 23 cm — 10+15 > 23 . . . can form a triangle

__

The sum of the two shortest sides must exceed the length of the longest.

To graph the function \(y=2x^2\), use technology such as graphing software to plot the points and visualize the parabolic curve.

Determine a range of x-values that you want to plot in the quadratic function graph. Let's choose the range from -5 to 5 for this example.

Substitute each x-value from the chosen range into the function \(y=2x^2\) to find the corresponding y-values. Here are the calculations for each x-value:

For x = -5:

y = \(2(-5)^2\) = 2(25) = 50

So, the first point is (-5, 50).

For x = -4:

y = \(2(-4)^2\) = 2(16) = 32

So, the second point is (-4, 32).

For x = -3:

y = \(2(-3)^2\) = 2(9) = 18

So, the third point is (-3, 18).

Continue this process for x = -2, -1, 0, 1, 2, 3, 4, and 5 to find their respective y-values.

Plot the points obtained from the previous step on a coordinate plane. The points are: (-5, 50), (-4, 32), (-3, 18), (-2, 8), (-1, 2), (0, 0), (1, 2), (2, 8), (3, 18), (4, 32), and (5, 50).

Connect the plotted points with a smooth curve. Since the function \(y=2x^2\) represents a parabola that opens upward, the curve will have a U-shape.

Label the axes as "x" and "y" and add any necessary scaling or units to the graph.

By following these steps, you can find the points and graph the function \(y=2x^2\).

For more such information on quadratic function graph:
https://brainly.com/question/30863974

#SPJ8

Answer:

42

Step-by-step explanation:

to find the perimiter youre gonna want to add up all the sides you already have,

so we have 4, 4, 11, and 6.

the reason we dont count the other 4 inside of the figure is because that is inside of it, so we would consider that perimiter

as we see there are other sides not labeled. we have to use that area four to help us.

for the top left side, we do 6 - 4 = 2

for the bottom right side, we do 11 - 4 = 7

then, as we see at the top right we have a four labeled, these look the same width so add a four.

and at the top left, we see another four so add that.

then, add up everything giving you 42.

i hope this helped! <3

The type of indeterminate form obtained by direct substitution in the given limit is 1^∞, where 1^∞ is not a determinate form and its value is not always predictable.

Applying L'Hôpital's Rule to the limit, we get:

lim_(xâ0^+) [cos(Ï/2 - x)]^x = lim_(xâ0^+) e^[x ln(cos(Ï/2 - x))]

Now, applying L'Hôpital's Rule to the exponent, we get:

= lim_(xâ0^+) e^[x (-tan(Ï/2 - x))]

= e^0 = 1

Therefore, the limit is equal to 1.

Using a graphing utility to graph the function, we can see that the limit approaches 1 as x approaches 0 from the right side. Therefore, the result obtained using L'Hôpital's Rule is verified by the graph.

To learn more about indeterminate : brainly.com/question/30633788

#SPJ11

The percentage of adult spiders that have carapace lengths exceeding a certain value is equal to the area under the standard normal curve that lies to the right of that value.

This is because the normal distribution is symmetric around its mean, and the area to the right of a certain value represents the proportion of data points that are greater than that value. Therefore, by calculating the area under the standard normal curve to the right of a certain value, we can determine the percentage of adult spiders with carapace lengths exceeding that value.

Know more about standard normal curve here:

https://brainly.com/question/31391220

#SPJ11

Answer:

3x+38

Step-by-step explanation:

1. (10x2 +5x-3)+(7x2 -2x+7) : rewrite problem

2. (20+5x-3)+(14-2x+7) : PEMDAS (10x2=20 and 7x2=14)

3. (5x+17)+(-2x+21) : PEMDAS (20-3=17 and 14+7=21)

4. 3x+38 : Combine like terms

Answer: Explicit Rule: a_n=30,000 • 2^n-1

Recursive Rule: a_n = 2a_n-1; a_1 = 30,000

Step-by-step explanation: the explicit rule for a geometric sequence is a_n = a_1 • r^n-1 and the recursive rule is a_n= r • a_n -1.
a_1 is the first term of the sequence, which is this case is 30,000. R is the common ration, which is 2 since it doubles each time. Substitute those numbers into the formulas and that’s what you’ll get. Hope this helps. God bless you!!!

Answer:

10

Step-by-step explanation:

it us a right triangle so we can use the equation

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

10 = c

Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.

It is given to us that -

A basketball player claims to make 47% of her shots from the field

The player takes sets of 10 shots

Assuming that her claim is true, a total of 25 repetitions of a simulation were performed

The number of makes in each set of 10 simulated shots was recorded on the dot plot

We have to suppose this player attempts 10 shots in a game and makes only 3 of them.

For the simulation of the player taking sets of 10 shots, we have to determine if we have enough convincing evidence that she is less than a 47% shooter.

From the given information, the approximate probability of finding out that a 47% shooter makes only 3 of the 10 attempted shots can be determined as -

P (x = 3) = 3/10 = 0.33 = 33%

Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.

To learn more about probability visit https://brainly.com/question/29381779

#SPJ4

The height of the cone is h = 3V / πr². Then the correct option is B.

Given that:

Volume of the cone, V = πr²h / 3

Simplify the equation for the value of h, then we have

V = πr²h / 3

3V = πr²h

h = 3V / πr²

The height of the cone is h = 3V / πr². Then the correct option is B.

More about the volume of the cone link is given below.

https://brainly.com/question/1984638

#SPJ1

Explanation:

We'll use the vertical line test. This is where we try to draw a vertical line through more than one point on the graph. If such a task can be done, then the relation is said to fail the vertical line test. Furthermore, it means the relation is not a function.

Graph A is an example of this. We can draw a vertical line through 2 and have that vertical line cross the blue curve at more than one point. The input x = 2 leads to multiple outputs. Graph C is a similar story, but it only happens when x = 1.

Graphs B and D both pass the vertical line test. It's impossible to draw a single vertical line to cross through more than one point shown on their respective graphs. Any x input in the domain leads to exactly one y output, which in turn means we have functions here.

The throughput time for the particular order was option (d) 39.1 hours.

Throughput time is the total amount of time required for a product or service to move through a production or service delivery system, including all the time spent in processing, waiting, inspection, movement, and queuing.

The throughput time can be calculated as the sum of all the times involved in the process, including the waiting time, processing time, inspection time, move time, and queue time. Therefore:

Throughput time = Wait time + Process time + Inspection time + Move time + Queue time

Throughput time = 20.0 + 2.8 + 1.8 + 3.7 + 10.8

Throughput time = 39.1 hours

Therefore, the correct option is (d) 39.1 hours

Learn more about Throughput time here

brainly.com/question/30408709

#SPJ4

Triangle DBG is isosceles and  BD = BG.

A triangle is a closed two-dimensional geometric shape with three straight sides and three angles. It is one of the basic shapes in geometry and has a wide range of applications in mathematics, science, and engineering.

To prove that triangle DBG is isosceles, we need to show that BD = BG.

First, we can use the given similarity to find the length of DF in terms of EB and EC. Since triangle ABC is similar to triangle EDF, we have:

AB:BC = ED:DF

Substituting the given values, we get:

2:3 = ED:DF

Multiplying both sides by DF, we get:

DF = (3÷2)ED

Next, we can use the fact that triangles EDF and EBG are similar (since they share angle E) to find the length of BG in terms of EB and DF:

ED/EB = BG/DF

Substituting the value we found for DF, we get:

ED/EB = BG/(3/2)ED

Multiplying both sides by (3/2)ED, we get:

BG = (3/2)ED²/ EB

Now we can use the Pythagorean theorem to find the lengths of BD and BG in terms of EB and EC:

BD² = BE² + ED²

BG² = BE² + EG²

Since EG = EC - BD, we can substitute BD = EC - EG in the first equation to get:

BD² = BE² + ED² = BE² + (3/2)ED²

Substituting the expression we found for BG in terms of ED and EB in the second equation, we get:

BG² = BE² + (3/2)ED²/EB² * BE²

Simplifying this expression, we get:

BG² = BE²(1 + 3ED²/2EB²)

Since we know that ED/EB = 2/3, we can substitute this value to get:

BG² = BE²(1 + (3/2)(4/9)) = BE²(25/18)

Therefore, we have:

BD² = BE² + (3/2)ED² = BE² + (3/2)(9/4)BE² = (15/8)BE²

BG² = BE²(25/18)

To show that BD = BG, we can compare the squares of these lengths:

BD² = (15/8)BE²

BG² = BE²(25/18)

Multiplying both sides of the first equation by 18/25, we get:

(18/25)BD² = (27/40)BE²

Substituting the expression for BG² in the second equation, we get:

(18/25)BD² = (27/40)BG²

Therefore, we have:

BD² = (27/40)BG²

Taking the square root of both sides, we get:

BD = (3/4)√(10) * BG

Substituting the expression we found for BG in terms of ED and EB, we get:

BD = (3/4)√(10) * (3/2)ED²/EB

Substituting the value of ED/EB = 2/3, we get:

BD = (3/4)√(10) * (3/2)(4/9)ED²

Simplifying this expression, we get:

BD = (2/3)√(10)ED²

Next, we can substitute the value we found for DF in terms of ED to get:

DF = (3/2)

Therefore, triangle DBG is isosceles and  BD = BG.

To learn more about triangle from given link.

brainly.com/question/30599944

#SPJ1

Answer:

3j + 14m + 2

Step-by-step explanation:

:)))))))))))))))

The value of Ax is approximately 69.9 km/h and the value of Ay is approximately 49.3 km/h.

To find the values of Ax and Ay, we can use trigonometry. The given information tells us that the magnitude of the vector resulting from the combination of Ax and Ay is 86 km/h, and the angle between this vector and Ax is 35 degrees.

We can use the cosine and sine functions to determine the components Ax and Ay:

Ax = 86 km/h * cos(35°)

Ay = 86 km/h * sin(35°)

Using a calculator, we can evaluate these expressions:

Ax ≈ 69.9 km/h (rounded to the nearest tenth)

Ay ≈ 49.3 km/h (rounded to the nearest tenth)

Know more about trigonometryhere:

https://brainly.com/question/11016599

#SPJ11

Answer:

I think the question is from Sequence.

on the basis that I have studied I think this is the way. if I am wrong sorry

They are 2 pounds of clay in the Art Supply Closet if Miss Secore divides the clay evenly into bags and places ⅙ pound into each bag, how many bags will she use?

we have that

total pounds=2

Divide the total pounds by 1/6

Divide 2 by 1/6 is the same that multiplying 2 by the reciprocal of 1/6

the reciprocal of 1/6 is 6/1

so

2/(1/6)=2*(6/1)=12

Answer:

1.w+15=165

2.w equals 165 multiplied by 15

Step-by-step explanation:

There's really no step-by-step explanation  its pretty simple.

The probability is 0.6480.

The probability is 0.9629.

1. This can be computed using the standard normal distribution as follows:

z = (70 - 69.0) / 2.8 = 0.357

Using a standard normal table or calculator, we find that P(Z ≤ 0.357) ≈ 0.6480. Therefore, the probability that a male passenger can fit through the doorway without bending is approximately 0.6480.

2. = 2.8/√25 = 0.56 inches.

We want to find P(x < 70), which is the probability that the mean height of the 25 men is less than 70 inches. This can be standardized using the standard normal distribution as follows:

z = (70 - 69.0) / 0.56 = 1.79

Using a standard normal table or calculator, we find that P(Z < 1.79) ≈ 0.9629. Therefore, the probability that the mean height of the 25 men is less than 70 inches is approximately 0.9629.

Read more on probability here:https://brainly.com/question/24756209

#SPJ4

Let's solve your inequality step-by-step.

5m<6m+6

Step 1: Subtract 6m from both sides.

5m−6m<6m+6−6m

−m<6

Step 2: Divide both sides by -1.

−m / −1 < 6 / −1

m>−6

Answer:

m>−6

Answer:

Step-by-step explanation:

In the experiment, the experimenter is studying the effects of temperature, pressure, and type of catalyst on the yield of a chemical reaction. There are three different temperatures, five different pressures, and six different catalysts being considered.

The purpose of this study is to investigate how changes in temperature, pressure, and catalyst type affect the yield of the chemical reaction. By varying these factors, the experimenter can observe and analyze their individual and combined effects on the outcome.

Through the experimental design, the experimenter will be able to gather data on the yield at different temperature, pressure, and catalyst conditions. This will allow them to identify any patterns or trends and draw conclusions about the optimal combination of these variables for maximizing the yield of the chemical reaction.

The study aims to provide valuable insights into the factors that influence the yield of the reaction, enabling scientists and engineers to optimize the process and potentially improve production efficiency.

Learn more about experimental design and analysis here:

https://brainly.com/question/30035168

#SPJ11

There are 1,680 different ways to select the officers for your club.

To determine the number of ways you can select officers for your club, you'll need to use the concept of permutations.

In this case, there are 8 members and you need to choose 4 positions (president, vice president, secretary, and treasurer).

The number of ways to arrange 8 items into 4 positions is given by the formula:

P(n, r) = n! / (n-r)!

where P(n, r) represents the number of permutations, n is the total number of items, r is the number of positions, and ! denotes a factorial.

For your situation:

P(8, 4) = 8! / (8-4)! = 8! / 4! = (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (4 × 3 × 2 × 1) = (8 × 7 × 6 × 5) = 1,680

Learn more about permutation at

https://brainly.com/question/30649574

#SPJ11

Answer:

38%

Step-by-step explanation:

If you convert the fraction to a decimal (0.375), and then multiply it by 100, you should get 37.5, which is the exact percentage.

37.5%

  ↓

38.0%

Your answer should be 38%.

[NOTE: 5 always rounds up]

Out of 8 members of the committee, it is possible to create two subcommittees only.

We know that in order to create subcommittees. we need to divide the total number of people on the committee into equal parts so that they form subcommittees.

Here, it is given that there are 8 members on the committee.

A subcommittee needs to have 3 people in it.

On dividing 8 people into groups of three, we get

⇒ \(\frac{8}{3}\)

⇒ 2.66..

Here, it is obvious that the 0.66... can not be considered because it is not a whole number and hence, does not mean any number of people.

So, we can create only two different subcommittees from 8 members on the main committee.

Learn to know more about Division on

https://brainly.com/question/21416852

Answer:

a, b, and d

Step-by-step explanation:

A, B, and D are Pythagorean triples (the sum of the squares of the first two numbers is equal to the square of the third number).

To prove that every subgroup of $D_n$ of odd order is cyclic, we will use the following fact:

Fact: If $G$ is a group of odd order, then every subgroup of $G$ is also of odd order.

Proof of the fact: Let $H$ be a subgroup of $G$. By Lagrange's theorem, the order of $H$ divides the order of $G$. But the order of $G$ is odd, so the order of $H$ is odd as well. $\square$

Now, let $H$ be a subgroup of $D_n$ of odd order. We will show that $H$ is cyclic.

If $H$ is the trivial subgroup, then it is clearly cyclic. Otherwise, $H$ contains at least one non-identity element, say $x$. If $x$ is a reflection, then $x^2$ is the identity and $H$ contains the two elements $x$ and $x^2$, which contradicts the assumption that $H$ has odd order. Therefore, $x$ must be a rotation.

Let $k$ be the smallest positive integer such that $x^k$ is a reflection. Note that $k$ must divide $n$, since $x^n$ is the identity and $x^k$ is a reflection. We claim that $H$ is generated by $x^k$.

First, we show that every power of $x^k$ is in $H$. Let $m$ be an arbitrary integer. If $m$ is even, then $(x^k)^m$ is a rotation and is therefore in $H$. If $m$ is odd, then $(x^k)^m=x^{km}$ is a composition of a rotation and a reflection, and is therefore in $H$.

Next, we show that $x^k$ generates $H$. Let $y$ be an arbitrary element of $H$. If $y$ is a rotation, then $y=x^{km}$ for some integer $m$ (since $x^k$ is a rotation). If $y$ is a reflection, then $yx=x^{-1}y$ is a rotation, so $yx=x^{km}$ for some integer $m$ (since $x^k$ is the smallest power of $x$ that is a reflection). Therefore, $y=x^{-1}(x^{km})=(x^k)^{-1}(x^{km+1})$, which is a power of $x^k$.

Thus, we have shown that $H$ is generated by $x^k$, and since $x^k$ is a rotation, it is of infinite order. Therefore, $H$ is cyclic.

Learn more about subgroup here:

https://brainly.com/question/31611800

#SPJ11