what is the surface area

Answer:

Part A:

[tex]P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}[/tex]

x is a binomial Random Variable.

Part B:

Value of p=0.8

Value of n=20

Part C:

P(X=15)=0.17456

Part D:

P(X≥15)=0.80417

Part E:

E(x)=16

E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.

Step-by-step explanation:

Part A:

Binomial Distribution is used because the number of tracks and the probability to find the intruding object is constant for all tracks

It means:

[tex]P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}[/tex]

x is a binomial Random Variable.

Part B:

Value of p=0.8

Value of n=20

Part C:

x=15

[tex]P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\[/tex]

By solving above Expression:

P(X=15)=0.17456

Part D:

P(X≥15)=P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)

[tex]P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\[/tex]

P(X=15)=0.17456

[tex]P(X=16)=20_{C_{16}}*0.8^{16}*(1-0.8)^{20-16}\\P(X=16)=0.21819[/tex]

[tex]P(X=17)=20_{C_{17}}*0.8^{17}*(1-0.8)^{20-17}\\P(X=17)=0.20536[/tex]

[tex]P(X=18)=20_{C_{18}}*0.8^{18}*(1-0.8)^{20-18}\\P(X=18)=0.13691\\\\P(X=19)=20_{C_{19}}*0.8^{19}*(1-0.8)^{20-19}\\P(X=19)=0.05765\\\\P(X=20)=20_{C_{20}}*0.8^{20}*(1-0.8)^{20-20}\\P(X=20)=0.01153[/tex]

Now, Adding Probabilities:

[tex]P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)\\=0.17456+0.21819+0.20536+0.13691+0.05765+0.01153\\[/tex]

P(X≥15)=0.80417

Part E:

Mean Distribution:

E(x)=n*p

E(x)=20*0.8

E(x)=16

E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.

Answer: C. 5x+6(-x+4)=13

Step-by-step explanation: When you substitute you just put the equation in not the variables.

Options A and D don't give a solution and B includes the variable y.

Answer:

34.4 yds3

Step-by-step explanation:

tuve la misma pregunta hoy

Answer:

11/ 20  

Step-by-step explanation:

it cannot be reduced any further

Answer: 11/20 or in decimal 0.55

Step-by-step explanation:

Answer:

2400

Step-by-step explanation:

Give Me brainllest plz T-T

Answer:

attached below

Step-by-step explanation:

a) Diagram of state transition representing failure and repair process of component

attached below

b) expression for the system to be completely available

attached below

c) Expression for system to be operating in a degraded mode

attached below

Answer:

12°

Step-by-step explanation:

Let's start with the easy first.

We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.

Now, we can use this to find the remaining two angles.

180° - 39° = 141°

So, this means that we can set up m∠A + m∠B = 141°.

6x + 9 + x - 8 = 141

7x + 1 = 141

7x = 140

x = 20

Finally, we can plug in for our x value and find m∠B.

m∠B = x - 8

m∠B = 20 - 8

m∠B = 12°

Answer:

12

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

just done the assignment

Linear regression line is a algebraic model to show the relationship between the two models by putting the value of the one variable to get the value of other.. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels. Therefore the option B is the correct option.

The equation of the experiment to know the relationship between the amount of nitrogen added to a cornfield and the number of bushels of corn produced is,

[tex]y=0.43x+28.5[/tex]

Linear regression line is a algebraic model to show the relationship between the two models by putting the value of the one variable to get the value of other.

Linear regression line can be represent as,

[tex]y=Ax+B[/tex]

Here x is the explanatory variable and y is the dependent variable. A is the slope of the line and B is the intercept.

In the given equation there are two variable given.

Variable x represent the amount of nitrogen added, and the variable y, represents the number of bushels of corn produced.

As putting the value of x the y increases with value of number 0.43. Thus as we are increasing the value of the nitrogen with unit 1 the number of bushels of corn produced is increased by unit 0.43.

Hence for every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels. Therefore the option B is the correct option.

Learn more about the linear regression here;

https://brainly.com/question/25311696

Answer:

64 and 65536

Step-by-step explanation:

you just multiply everything

Answer:B

Step-by-step explanation:

Hope it helps you

Have a good day

Answer:

a) 2x + 8 = 2(x + 4) has infinite solutions because it simplifies down to x = x. Here is the work where this equation is solved.

2x + 8 = 2(x + 4)

2x + 8 = 2(x) + 2(4)

2x + 8 = 2x +8

2x + 8 - 8 = 2x + 8 -8

2x = 2x

2x/2 = 2x/2

x = x

So, because the equation ends in x = x, you can substitute any value for x and the equation will remain true.

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b) 3x + 7 = 3(x + 7) has no solutions because it simplifies down to an untrue statement. The equation is simplified below.

3x + 7 = 3(x + 7)

3x + 7 = 3(x) + 3(7)

3x + 7 = 3x + 21

3x + 7 - 7 = 3x + 21 - 7

3x = 3x + 14

3x/3 = 3x/3 +14

x = x + 14

However, this is false. x cannot be equal to itself plus 14.

x ≠ x + 14

The simplification of this equation is untrue, so there is no solution to it.

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I hope this is helpful :) Good luck

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

C. 4.

Answer:

P(T<683) = 0.1587 = 15.87% ≈ 16%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. 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 p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When two normal variables are added, the mean is the sum of the means, while the standard deviation is the square root of the sum of the variances.

The weights of these candles have a mean of 500g and a standard deviation of 15g. The weights of the candle stands have a mean of 200g and a standard deviation of 8g.

The package consists of one candle of each type. So

[tex]\mu = 500 + 200 = 700[/tex]

[tex]\sigma = \sqrt{15^2 + 8^2} = 17[/tex]

Find the probability that the total weight is under 683g.

This is the pvalue of Z when X = 683.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{683 - 700}{17}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

So

P(T<683) = 0.1587 = 15.87% ≈ 16%.

Answer:

0.1587 Step-by-step explanation:kahn

Answer: I'm sorry but you'd have to be more specific. Please include numbers.

Step-by-step explanation:

Answer:

N (3×4) or (N×3) 4

Step-by-step explanation:

Answer:

11 units

Step-by-step explanation:

Just count the square or units in between the 2 points and there are 11 units in between them

Answer:

Since there is 15 toucans and 75 parrots the ratio would be written as

15/75

Step-by-step explanation:

As of 15 to 75. Then write out with a colon between the too! 15:75

Hope this helped and have a wonderful day!! <33

Answer:

The 90% confidence interval for the mean amount spent on the children's birthday gift is between $45.77 and $48.23.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7396

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.7396\frac{3}{\sqrt{18}} = 1.23[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 47 - 1.23 = $45.77

The upper end of the interval is the sample mean added to M. So it is 47 + 1.23 = $48.23

The 90% confidence interval for the mean amount spent on the children's birthday gift is between $45.77 and $48.23.

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mode is the number which occurs most frequently in the data set.

In this question, 1 appears the most frequently meaning that the correct mode is is 1.

Answer:

1. 66.22

2. 4.03  

3. 0.108

Step-by-step explanation:

divide the answers by the other numbers (10,100,1000)  

662.2 ÷ 10 = 66.22

403 ÷ 100 = 4.03

108 ÷ 1000 =0.108

~R3V0

Answer:

When you multiply a whole number by itself, you get a square number. When you take three copies of a whole number and multiply them all together, you get a cube number.

Answer: I would have to say 1/21

Step-by-step explanation: Because since there is only 2 aces i believe that drawing one is quite out of the ordinary.

Answer:

after 35 hours she makes 11.75 an hour

Step-by-step explanation:

Answer:

x = 9

y = 8

Step-by-step explanation:

We can find the value of x and y using similarity ratio because the triangles are similar

6/4 = x/6 cross multiply expressions

4x = 36 divide both sides by 4

x = 9

same goes with y

6/4 = 12/y cross multiply expressions

6y = 48 divide both sides by 6

y = 8

Answer:

3000 - 18*x

Step-by-step explanation:

if "a certain number of minutes" = x then

water remains in the container  = 3000 - 18*x

Answer:

y = 3000 - 18x

Step-by-step explanation:

To describe the scenario of a garden watering bucket with 3000 milliliters of water and a leak of 18 milliliters per minute, we can create a function.

Let's denote the number of minutes as 'x' and the amount of water remaining in the container as 'y'. The function can be represented as:

y = 3000 - 18x

In this function, 3000 represents the initial amount of water in the container, and 18x represents the amount of water leaked after x minutes.

Therefore, the function that describes the scenario is:

Answer:

salary increases by $ 10 every hour