For the y-values in the given in the table, add x-values that will eliminate the set of ordered pairs as being a function. State the four c-values. X, Y 9,2,6,11

Answer:

a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b)0.6004

c)19.607

Step-by-step explanation:

Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2

X ~ Poisson(A) where [tex]\lambda = \frac{10.2}{200} = 0.051[/tex]

a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar

[tex]\frac{1}{4} \times 200 = 50[/tex]

50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55

So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment

Let X denotes the number of grams to be eaten before another fragment is detected.

[tex]P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004[/tex]

c)The expected number of grams to be eaten before encountering the first fragments :

[tex]E(X)=\frac{1}{\lambda}=\frac{1}{0.051}=19.607 gram[/tex]s

Answer:=================================================

Step-by-step explanation:

the first one

Answer:

========================================================================================================================================

Step-by-step explanation:

it's the equal sign

Answer:

43

Step-by-step explanation:

Answer: Whats the question? I dont see

Step-by-step explanation:

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Yes, you can find the distance between two lines using the formula for the distance to a line.

In general, the notion of distance between two lines only make sense when the lines are parallel.

The usual formula for the distance between a point (x, y) and the line ...

  ax +by +c = 0

is ...

  d = |ax +by +c|/√(a^2 +b^2)

Two lines that are parallel will differ only in their values of 'c'. That is, if the two lines are ...

we can arrive at the formula by considering a point (x, y) such that it satisfies the equation for line 2: ax +by +c2 = 0. The distance of that point from line 1 will be ...

  d = |ax +by +c1|/√(a^2 +b^2)

Since we can add or subtract 0 from anything without changing its value, we choose to subtract 0 from the numerator:

  d = |(ax +by +c1) -(ax +by +c2)|/√(a^2 +b^2)

Simplifying gives ...

  d = |c1 -c2|/√(a^2 +b^2)

Answer:

No

Step-by-step explanation:

Scaling is the procedure for either increasing or decreasing the size of a given object. While a scale is the representative fraction used for the purpose.

scale = [tex]\frac{length on drawing}{original length}[/tex]

For triangle B to be a scaled copy of triangle A,

scale = [tex]\frac{5}{1}[/tex]

         = 5:1

This is an enlarged scale, therefore each side of triangle A should be multiplied by 5 not increased by 5.

Triangle B is not a scaled copy of triangle A.

Answer:

B. 110

Step-by-step explanation:

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?

A. 90

B. 110

C. 130

D. 180​

Answer:

Let x represent the amount of calories in 1 servings of juice, y represent the amount of calories in 1 servings of milk and z represent the amount of calories in 1 servings of Soda.

Joe consumption can be represented by:

x + 2y + z = 530           (1)

Darius consumption can be represented by:

2x + y = 370                 (2)

Marian consumption can be represented by:

3y + z = 510                  (3)

The equations can be represented in matrix form as:

[tex]\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] ^{-1}\left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}0.33&0.33&-0.33\\-0.67&0.33&0.67\\2&-1&-1\end{array}\right]\left[\begin{array}{c}530\\370\\510\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}130\\110\\180\end{array}\right][/tex]

The amount of calories in one serving of milk is 110 calories

-4 is the x intercept.as in the values on the x-axis

Answer:

Im pretty sure it the first one

Step-by-step explanation:

Answer:

There are 35 girls in the recycling club

Step-by-step explanation:

4 boys : 7 girls

20 boys : x girls

In order to get to 20, you have to multiply 4 by 5, so multiply 5 to 7 for the girls.

7(5) = 35

There are 35 girls

Answer:when he was doing the multipleis of 8 he put 20 when there is no 20

Step-by-step explanation:

Answer:

3768068

Step-by-step explanation:

idk how i just googled a pattern analyzer

The next number in the sequence is 2420484

Given: The sequence of numbers 1, 24, 816, 3264, 12825, 651210

To find: The next number in the sequence

First we note that the number of digits in each term of the sequence increases by one and is equal to the place of the term in the sequence. So, the first term has 1 digit, the second term has 2 digits, the third term has 3 digits and so on.

The next term in the sequence should be the seventh term of the sequence and should have 7 digits.

Now, the geometric sequence starting from 1 and having a factor of 2 is given by,

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096,...

Now, we note that the terms of the given sequence are obtained by concatenating the digits of consecutive terms of the above sequence until the required number of digits are reached.

So, the first term, which has a limit of 1 digit, becomes 1

The second term, which has a limit of 2 digits, becomes the concatenation of 2 and 4, that is, 24

The third term, which has a limit of 3 digits, becomes the concatenation of 8 and 16, that is, 816

The fourth term, which has a limit of 4 digits, becomes the concatenation of 32 and 64, that is, 3264

The fifth term, which has a limit of 5 digits, becomes the concatenation of 128 and 256. However, since the fifth term has a limit of 5 digits. So, the term becomes 12825 with the 6 being carried over to the next term.

The sixth term, which has a limit of 6 digits, becomes the concatenation of 6 (carried over from the previous term), 512 and 1024. However, since this term has a limit of 6 digits. So, the term becomes 651210 with the 24 being carried over to the next term.

So, the next term (seventh term) should be the concatenation of 24 (carried over from the previous term), 2048 and 4096. However, this term should have a limit of 7 digits. So, the term should be 2420484 with 096 being carried over to the next term.

So, the next number should be 2420484.

Learn more about patterns of numbers here:

https://brainly.com/question/14060365

Answer:

The best answer is " The lines are the same " ⇒ A

Step-by-step explanation:

A system of two linear equations can have:

If a system has at least one solution, it is called consistent

If a system has no solution, then it is called inconsistent. they represented by two parallel lines

Let us use these facts above to solve our question

∵ A system of two linear equations is consistent and dependent

∴ The system has an infinite number of solutions

∴ The system represented graphically by the same line

∴ The best answer is " The lines are the same "

Answer:

The rearrangement can be 45, 987 , 310

Step-by-step explanation:

Here, we want to rearrange the number such that 9 is worth 10 times as what it is worth presently

The value of 9 presently is 90,000

So 10 times as worth will be 10 * 90,000 = 900,000

So we can have the new arrangement as;

45, 987, 310

Answer:

did you ever did the answer

Step-by-step explanation:

Answer:

Hi, there--

THE PROBLEM:

We invested $10,000 in 2 bank accounts. One account earns 14% per year the other earns 8%

per year. How much did we invest into each account if after the first year, the combined

interest from the 2 accounts is $1238?

A SOLUTION:

Define Variables:

Let x be the amount you originally invested in the first account.

Let y be the amount you originally invested in the second account.

Write Expressions and Equations:

Since you invested a total of $10,00 in two accounts. An equation that represents this is

x + y = 10000

One account (say the first one) earns 14% per year. Recall that the decimal form of 14% is

0.14. An expression for the amount of interest you earn after the first year in this account is

0.14x.

The other account earns 8% per year. The decimal representation of 8% is 0.08. The amount

of interest you earn after one year in this account is 0.08y.

The combine interest from both account after one year is $1238. An equation representing

the total interest earned is

0.14x + 0.08y = 1238

Now we have a system of two equations with two variables. We can solve for x and y. Rewrite

the first equation in "y=" form.

x + y = 10000

y = 10000 - x

Substitute 10000-x for y in the second equation.

0.14x + 0.08y = 1238

0.14x + 0.08(10000 - x) = 1238

Solve this equation for x. Use the Distributive Property to clear parentheses.

0.14x + 800 - 0.08x = 1238

Combine like terms (0.14x-0.08x is 0.06x).

0.06x + 800 = 1238

Subtract 800 to both sides to isolate x on the left.

0.06x = 1238 - 800

0.06x = 438

Divide both sides of the equation by 0.06.

x = 438/0.06

x = 7300

In the context of this problem, x=7300 means that you invested $7300 in the first account.

Since you invested a total of $10000, you invested 10000-7300=$2700 in the second account.

Check your work by verifying that these amounts will yield the correct amount of interest.

Substitute 7300 for x and 2700 for y in the interest equation.

0.14x + 0.08y = 1238

0.14(7300) + 0.08(2700) = 1238

1022 + 216 = 1238

1238 = 1238

Check!

Hope this helps! Feel free to email if you have any questions about the

ion even know yet

gyfujkl;kjbhvgfcdxsrtuiokl;, nbvghjkjhbgyu

Answer: {No Solution}

Step-by-step explanation:

Answer: is 0.001

10^-3 = (1)/(10^3) move the negative exponent to the denominator (1)/(1000) simplify 10^3 in the denominator (1)/(1000) = 0.001

Step-by-step explanation:

Hope you have a great night

Answer: 0.001

Step-by-step explanation:

Answer:

The 90% confidence interval is   [tex]15.66< \mu < 15.94 [/tex]

Step-by-step explanation:

From the question we are told that

  The population standard deviation is  [tex]\sigma = 2.2[/tex]

  The  sample mean is  [tex]\= x = 15.8 \ gallon[/tex]

   The sample size is  n  =  669

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.645  *  \frac{ 2.2}{\sqrt{669} }[/tex]

=>  [tex]E = 0.1399[/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]15.8  - 0.1399 <\mu<  15.8  + 0.1399 [/tex]

=>    [tex]15.66< \mu < 15.94 [/tex]

Answer:

Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg

Step-by-step explanation:

22.5 is 1/3 of 67.5

so compliment is 67.5.

Supplement is just adding another angle so I chose 7.

I did 22.5 x 7 = 157.5

Another example would be:

Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)

Hope this helps :)

Answer:

Below

Step-by-step explanation:

The reason why "lower than" would be the correct answer is because the DMV (Department of Motor Vehicles) requires that all drivers drive lower than the posted speed limit when the weather is not god.

The reason why you should travel lower than the posted speed limit is because it will keep you and others safe of the road. Bad weather can lead to things like less traction, less vision on the road, and etc.

When you drive slower than the posted speed limit during based weather, you're allowing your self more time to react if something happens, less likely to lose grip, and keeps you and others safe from any accidents.

Like they always say, you should never travel at a speed that's dangerous for the current road conditions.

Answer:

T = Time = 3 years

Step-by-step explanation:

1 = PRT;

1 = Simple Interest = 5040

P = Principal = 24,000

R = Rate = 0.07

T = Time (years) = ? Unknown variable

Making T subject of the formula

T = 1/PR

T = 5040/24,000 × 0.07

T = 5040/1680

T = 3 years

Answer:

explain further or send a picture of what you mean and then I can help you

Answer:

940,000

Step-by-step explanation:

Since there is a 6 in 936,292, that gives you the right to make the ten thousandth higher if that makes sense

Answer:

j=h-4/k    this is the answer if you are solving for j

Step-by-step explanation:

Step-by-step explanation:

−2x+5y=−15 and 5x+2y=−6

Rewrite equations:

−2x+5y=−15;5x+2y=−6

Step: Solve−2x+5y=−15for x:

−2x+5y=−15

−2x+5y+−5y=−15+−5y(Add -5y to both sides)

−2x=−5y−15

−2x−2=−5y−15−2(Divide both sides by -2)

x=52y+152

Step: Substitute52y+152forxin5x+2y=−6:

5x+2y=−6

5(52y+152)+2y=−6

292y+752=−6(Simplify both sides of the equation)

292y+752+−752=−6+−752(Add (-75)/2 to both sides)

292y=−872

292y292=−872292(Divide both sides by 29/2)

y=−3

Step: Substitute−3foryinx=52y+152:

x=52y+152

x=52(−3)+152

x=0(Simplify both sides of the equation)

Answer:

x=0 and y=−3