Tank A holds 430 liters of liquid. Tank B holds 3.7 * 10^6 milliliters of liquid.
How much liquid do the tanks hold altogether? Express your answer in scientific notation.

The variance of the number of heads that come up when a fair coin is flipped 13 times is 3.25

Mathematical representations of the likelihood of an event occurring or of a statement being true are dealt with in the area of probability. An outcome's probability is a number between 0 and 1, where 1 denotes certainty and 0 denotes the event's impossibility.

Here, flipping a coin is a Bernoulli trial, with n =13, with success as getting a head with probability p = 1/2.

We have to find the variance of the number of success in n Bernoulli trials. The variance of the number of successes in n Bernoulli trials is np(1-p).

the variance np  \((1-p)=13\cdot (1/2)\cdot (1-1/2)=13\cdot (1/2)\cdot (1/2)= 3.25\)

learn more about probability here :

brainly.com/question/11234923

#SPJ4

The formula for function h(x) is h(x) = x/5, indicating that the output value y is equal to one-fifth of the input value x.

The equation 6x + y = 4x + 11y represents a relationship between the input value x and the output value y of the function h(x).

To find the formula for h(x), we need to isolate y in terms of x. Rearranging the equation, we have 6x - 4x = 11y - y, which simplifies to 2x = 10y. Dividing both sides by 10, we get x/5 = y/1.

Thus, the formula for h(x) in terms of x is h(x) = x/5, indicating that the output value y is equal to one-fifth of the input value x.

Learn more about function h(x)

brainly.com/question/28218478

#SPJ11

Answer: -7, 10

Step-by-step explanation: so to solve this, we have to find the slope of these two points. First, lets see how much X is moving. From 4 to -3 is 7 UNITS DOWN. So x is changing by a negative 7. Y is going up by a positive 10. So the slope of the line is 10/-7, which is your answer

Answer:

f(x) = 9(x + 5)2 - 6 (-5,-6)

f(x) = 6(x + 9)2 - 5 (-9,-5)

f(x) = 9(x - 5)2 + 6 (5,6)

f(x) = 6(x - 5)2 - 9. (5,-9)

f(x) = 5(x - 6) +9. (6,9)

Step-by-step explanation:

To find the vertex: for the x-coordinate, take the "h" in the parentheses (x + h) and reverse its sign. For the y-coordinate, use the "k" term as-is.

The coordinates of the vertex of the equations are:

The vertex form of the quadratic function is given as:

y = a(x -h)^2 + k

Where:

Vertex = (h,k)

Using the above highlight, the coordinates of the vertex of the equations would be:

f(x) = 9(x + 5)^2 - 6

Vertex = (-5,-6)

f(x) = 6(x + 9)^2 - 5

Vertex = (-9,-5)

f(x) = 9(x - 5)2 + 6

Vertex =(5,6)

f(x) = 6(x - 5)^2 - 9

Vertex = (5,-9)

f(x) = 5(x - 6) +9

Vertex = (6,9)

Read more about vertex quadratic functions at:

https://brainly.com/question/1480401

Answer: 5.75

Step-by-step explanation:

By doing the slope formula then dividing 115 by 20 you’ll get 5.75

Answer:

Step-by-step explanation:

Answer:

23a + 9b + 9c

Step-by-step explanation:

9a + 6b + 3b + 14a + 9c ( collect like terms )

= (9 + 14)a + (6 + 3)b + 9c

= 23a + 9b + 9c

Answer:

In 3/4 of an hour, she would have ran 5.1 miles.

Hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A rule for every right angle triangle is a^2+b^2 =c^2

but here 5^2 + 10^2 does not equal to 12^2.

Therefore the answer is A.

The equation of the circle expressed in the form x²+y²+ax+by+c=0 is (x+3)² + (y+4)² - 100 = 0.

Center of the circle = (-3,-4)Point on the circumference of the circle = P(5,2) We know that the equation of the circle is given by: (x−a)²+(y−b)²=r² where the center of the circle is (a, b) and the radius is r.

Step 1: Find the radius of the circle using the distance formula Distance between the center of the circle and point

P = radius of the circle.

We get

r = √((-3-5)² + (-4-2)²)r = √64+36r = √100 = 10

Step 2:Find the equation of the circle substituting the center and the radius into the equation of the circle

(x−a)²+(y−b)²=r²(x-(-3))² + (y-(-4))² = 10²(x+3)² + (y+4)² = 100(x+3)² + (y+4)² - 100 = 0

For more question circle

https://brainly.com/question/26605972

#SPJ8

Laughter Landscaping has collected the following data for the December 31 adjusting​ entries is given below:

Here, we have,

Date Details                                                     Dr. $                     Cr.$

a Wages account Dr. (8000/5 x2)                     3200  

      Accrued wages account Cr.                                             3200

(Being the wages accrued for 2 days)    

b Prepaid insurance A/c Dr. (8000/2)              4000  

      Insurance A/c Cr                                                             4000

(Being the insurance prepaid for 1 year)    

c Supplies Expense A/c Dr.                                8400  

      Supplies A/c Cr. (4600+5600-1500)                             8400

(Being the office supplies used for the year)    

d   Unearned revenue A/c Dr. (6500x 40/100)         2600  

      Revenue A/c Cr.                                                            2600

(Being the Revenue earned has beed adjusted)    

e Accrued revenue A/c Dr.                                  3000  

       Revenue A/c Cr.                                                            3000

(Being the Accrued revenue has been recorded)    

f Income statement (Profit & Loss A/c) Dr.           3000  

 Provision for Depreciation on Equipment  A/c Cr.                     3000

(Being the Equipment depreciated)    

 Income statement (Profit & Loss A/c) Dr.            2200  

 Provision for Depreciation on Truck  A/c Cr.                             2200

(Being the Truck depreciated)    

g Interest A/c Dr. (550-250)                                      300  

       Accrued Interest A/c Cr.                                                       300

 (Being the amount of interest accrued)    

To know more about Journalizing visit-

brainly.com/question/24123883

#SPJ4

ANSWER: I think it's No. A

By using the z value, it can be calculated that

P value for upper tail = 0.0455

P value for lower tail = 0.9545

P value for two tail  = 0.091

What is z value?

z value determines the number of standard deviation, the event is above the mean value. That means z value determines the distance of the event from the mean and it is measured in terms of Standard Deviation.

z value = 1.76

From the z table

P value for upper tail = 1 - 0.9545 = 0.0455

P value for lower tail = 0.9545

P value for two tail = 0.0455 \(\times\) 2 = 0.091

To learn more about z value, refer to the link-

https://brainly.com/question/25638875

#SPJ4

The value of the given and completed expression in this problem is

-1

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

Learn more about combined operations in:

https://brainly.com/question/30042708

#SPJ4

The number of inches burned from the candle is represented by 1.2t, while the remaining length of the candle is given by 12.5 - 1.2t. The first two statements are true, but the third statement is false.

a. The expression representing the number of inches burned from the candle since it was lit can be calculated by multiplying the rate of burning (1.2 inches per hour) by the number of hours elapsed (t). Therefore, the expression is 1.2t.    b. To find the remaining length of the candle, subtract the number of inches burned from the original length of the candle. The original length is 12.5 inches, so the expression representing the remaining length is 12.5 - 1.2t.     c. The first statement is true. The number of inches burned is indeed proportional to the time since the candle has been burning, as given by the expression 1.2t.

The second statement is also true. The remaining length of the candle decreases linearly with time, following the expression 12.5 - 1.2t.

The third statement is false. The change in the candle's height is not proportional to the amount of time since it has been burning. It is only proportional to the number of inches burned, not the time itself.

To learn more about number click here

brainly.com/question/24908711

#SPJ11

Answer:

The financial incentive had a significant effect on the proportion of individuals who quit smoking

Step-by-step explanation:

To determine if the financial incentive had a significant effect on the proportion of individuals who quit smoking, we can conduct a hypothesis test.

Null hypothesis: The proportion of individuals who quit smoking in the financial rewards group is the same as the proportion who quit smoking in the traditional group.

Alternative hypothesis: The proportion of individuals who quit smoking in the financial rewards group is greater than the proportion who quit smoking in the traditional group.

We can use a one-tailed z-test for proportions to test this hypothesis, with a significance level of 0.05.

First, we calculate the pooled proportion of individuals who quit smoking:

p = (number of individuals who quit smoking in financial rewards group + number of individuals who quit smoking in traditional group) / (total number of individuals in both groups)

p = \(\frac{(0.15 * 439 + 0.05 * 439)}{878}\)

p = 0.1

Next, we calculate the standard error of the difference between the two proportions:

SE = \(\sqrt{(p(1-p) * ((1/n1) + (1/n2)))}\)

where n1 is the sample size of the financial rewards group (439) and n2 is the sample size of the traditional group (439).

SE = \(\sqrt{(0.1 * 0.9 * ((1/439) + (1/439)))\)

SE = 0.022

Finally, we calculate the test statistic:

z = (p1 - p2) / SE

where p1 is the proportion of individuals who quit smoking in the financial rewards group (0.15) and p2 is the proportion of individuals who quit smoking in the traditional group (0.05).

z = (0.15 - 0.05) / 0.022

z = 4.55

The critical z-value for a one-tailed test with a significance level of 0.05 is 1.645.

Since our calculated z-value is greater than the critical z-value, we reject the null hypothesis and conclude that the proportion of individuals who quit smoking in the financial rewards group is significantly greater than the proportion who quit smoking in the traditional group.

Therefore, we can say that the financial incentive had a significant effect on the proportion of individuals who quit smoking.

To know more about financial incentive refer here

https://brainly.com/question/12306845#

#SPJ11

Answer:

B

Step-by-step explanation:

Answer:

B. 113

Step-by-step explanation:

The question is just asking what 95+18 is because 18 was originally h. Meaning that our answer is 113.

Answer:

-8

Step-by-step explanation:

midpoint = (W + X)/2

midpoint = [-11 + (-5)]/2

midpoint = -16/2

hence midpoint = -8

Answer:

$30

Step-by-step explanation:

$38-$8=$30

Answer: 30

Since Eugene just got $8, and the question is asking how much he had before that, we have to subtract 8 from 38.

38 - 8 = 30

So, the answer is 30. Hope this helps!

Answer:

$15.21

Step-by-step explanation:

Why it would be D is if find out what the 17% is ($2.21) you would add it on top of the $13 and it gives you $15.21 or D.

The statement "Any eigenvector corresponding to the dominant eigenvalue of a matrix is a dominant eigenvector" is not necessarily true. The dominance of an eigenvector is determined by its corresponding eigenvalue and the specific definition of dominance in a given context.

In the context of eigenvalues and eigenvectors, dominance refers to the relationship between the eigenvalues and the corresponding   eigenvectors of a matrix.

The dominant eigenvalue is the eigenvalue with the largest magnitude or real part.

However, the dominance of an eigenvector is not solely determined by its corresponding eigenvalue.

It depends on the specific definition of dominance in a given context or problem.

In some cases, an eigenvector corresponding to the dominant eigenvalue may indeed be a dominant eigenvector, but this is not always true.

Dominance of eigenvectors can be defined based on different criteria, such as magnitude, direction, or a combination of both.

Therefore, it is important to consider the specific context and definition of dominance when determining if an eigenvector corresponding to the dominant eigenvalue is a dominant eigenvector.

To learn more about eigenvector visit:

brainly.com/question/31669528

#SPJ11

Did you forget to add a picture or something? I don't know how to answer this question properly.  

the best estimate of the half-life, combining the two results, is approximately 13.7421 days with an uncertainty of approximately 1.3772 days.

To determine the best estimate of the half-life by combining the two results, we can use the weighted average method. The weights assigned to each measurement are inversely proportional to the squares of their uncertainties. Here's how to calculate the combined result:

Step 1: Calculate the weights for each measurement.

  w1 = 1/σ1^2

  w2 = 1/σ2^2

  Where σ1 and σ2 are the uncertainties associated with each measurement.

Step 2: Calculate the weighted values.

  w1 * t1 = w1 * (15.5 days)

  w2 * t2 = w2 * (16.2 days)

Step 3: Calculate the sum of the weights.

  W = w1 + w2

Step 4: Calculate the weighted average.

  T = (w1 * t1 + w2 * t2) / W

Step 5: Calculate the combined uncertainty.

  σ = √(1 / W)

The best estimate of the half-life is given by the value of T, and the combined uncertainty is given by the value of σ.

Let's calculate the best estimate using the given values:

For the first measurement:

σ1 = 2.3 days

For the second measurement:

σ2 = 1.5 days

Step 1:

w1 = 1/σ1^2 = 1/(2.3^2) ≈ 0.1949

w2 = 1/σ2^2 = 1/(1.5^2) ≈ 0.4444

Step 2:

w1 * t1 ≈ 0.1949 * 15.5 ≈ 3.0195

w2 * t2 ≈ 0.4444 * 16.2 ≈ 7.1993

Step 3:

W = w1 + w2 ≈ 0.1949 + 0.4444 ≈ 0.6393

Step 4:

T = (w1 * t1 + w2 * t2) / W ≈ (3.0195 + 7.1993) / 0.6393 ≈ 13.7421 days

Step 5:

σ = √(1 / W) ≈ √(1 / 0.6393) ≈ 1.3772 days

Therefore, the best estimate of the half-life, combining the two results, is approximately 13.7421 days with an uncertainty of approximately 1.3772 days.

To know more about half-life of a radioactive related question visit:

https://brainly.com/question/13979590

#SPJ11

Answer:

See Picture

Step-by-step explanation:

Also I notice you do Gacha by your pfp. That's nice. I'm actually a gacha person myself. I do memes and stuff. Well, I just wanted to point that out. Anyways, be sure to mark me brainliest!

Step-by-step explanation:

He gets five positive reviews

Answer: 1st; (-5, 1)

2nd;(-3, 1)

I’m pretty sure this is it, I’ve done questions like this for a while now, I think I got it right, sorry if I didn’t I tried my best.

Transforming the points involves changing their coordinates

The image of the points are:  (3, 6), (-11, 12) and  (-3, -12)

The coordinates of the points are given as:

X(2, 4)

Y(5,-3)

Z(-7, 1)

The rule of this transformation is:

(x, y) to (y, -x)

So, we have:

X' = (4, -2)

Y' = (-3, -5)

Z' = (1, 7)

The rule of this transformation is:

(x, y) to (2x, 2y)

So, we have:

X'' = (8, -4)

Y'' = (-6, -10)

Z'' = (2, 14)

The rule of this transformation is:

(x, y) to (x, -y)

So, we have:

X''' = (8, 4)

Y''' = (-6, 10)

Z''' = (2, -14)

The rule of this transformation is:

(x, y) to (x -5, y + 2)

So, we have:

X'''' = (3, 6)

Y'''' = (-11, 12)

Z'''' = (-3, -12)

Hence, the image of the points are:  (3, 6), (-11, 12) and  (-3, -12)

Read more about transformation at:

https://brainly.com/question/4289712