Ernie Brody had $3,620 on deposit at Savings Bank on July 1. The money earns interest at a rate of 6.5% compounded quarterly until
April 1 of the fillowing year.

Answers

Answer 1

The amount of money in the account by April 1st of the following year is $4372.78.

What is the compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\).

Given that, principal=$3620, rate of interest=6.5% and time period=9 months.

Here, principal compounded quarterly

Thus, Amount =3620(1+6.5/100)³

= 3620(1+0.065)³

= 3620(1.065)³

= $4372.78

Therefore, amount of money in the account by April 1st of the following year is $4372.78.

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Related Questions

Tommy buys 12 cans of soda
for $6. At this rate, how much
would he pay for 48 cans of
soda?

Answers

Answer:$24

Step-by-step explanation: Since Tommy bought 12 cans for $6, we would need to know what to multiply for 12 to equal 48. If done as a division problem, 48 ÷ 12 = 4. Multiply 6 x 4 to get 24 as your answer.

WILL GIVE BRAINLIEST AND 25 POINTS! Which of the following statements are true? Check all that apply. A. If any row of a square matrix is zero, its determinant is zero. B. If all numbers in a matrix are equal, its determinant is zero. C. The determinant of any identity matrix is zero. D. The determinant of a matrix with all positive numbers is always positive. E. The determinant of any zero matrix is zero.

Answers

Answer:

Option A, B and E

Step-by-step explanation:

Determinant = ad-bc

Let's look at the picture and solve all

Option A)

If the row ( c and d ) is zero, the determinant will be zero

=> a(0)-b(0)

=> 0-0

=> 0 (So, True)

Option B)

If a = b = c = d (Let's say 1), the determinant will be

=> (1)(1)-(1)(1)

=> 1-1

=> 0  (So, True)

Option C)

An Identity matrix is

=> \(\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]\)

So , it's determinant will be

=> (1)(1)-(0)(0)

=> 1-0

=> 1  (So, False)

Option D)

The determinant with matrix will all positive numbers can be negative as well as positive. This is not necessary that it would be positive. (So, False)

Option E)

A zero matrix is

=> \(\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]\)

So, it's determinant is:

=> (0)(0)-(0)(0)

=> 0-0

=> 0 (So,True)

WILL GIVE BRAINLIEST AND 25 POINTS! Which of the following statements are true? Check all that apply.

Answer: A B E

A. If any row of a square matrix is zero, its determinant is zero.

B. If all numbers in a matrix are equal, its determinant is zero.

E. The determinant of any zero matrix is zero

Step-by-step explanation:

edge assignment

Solve for h.
6h= 7h + 5
H= ?

Answers

Answer:

h = -5

Step-by-step explanation:

1) Subtract 7th from both sides

6h = 7h + 5

6h - 7h= 7h + 5 - 7h

2) Simplify

- Combine like terms

6h - 7h = 7h + 5 - 7h

-h = 7h + 5 - 7h

- Combine like terms

-h = 7h + 5 - 7h

-h = 5

3) Divide both sides by the same factor

-h = 5

-h/-1 = 5/-1

4) Simplify

Cancel terms that are in both the numerator and denominator

h/-1 = 5/-1

h = 5/-1

Divide the numbers

h = 5/-1

h = -5

Answer:

The answer is H=-5

Step-by-step explanation:

prove the average degree in a tree is always less than 2. more specifically express this average as a function of the number of vertices in tree.

Answers

we have proven that the average degree in a tree is always less than 2.

To prove that the average degree in a tree is always less than 2, we need to first understand what a tree is. A tree is an undirected graph that is connected and acyclic, meaning it does not contain any cycles. Each node in a tree has exactly one parent, except for the root node, which has no parent. The degree of a node in a tree is the number of edges that are connected to it. For the root node, its degree is equal to the number of edges that are connected to its children.

Now, let's consider a tree with n vertices. The total number of edges in a tree is always n-1, since each node except the root node has exactly one incoming edge, and the root node has no incoming edges. Therefore, the sum of the degrees of all the nodes in a tree with n vertices is equal to 2(n-1), since each edge is counted twice, once for each of the nodes it connects.

If we let d_i denote the degree of the i-th node in the tree, then the average degree of the tree can be expressed as:

(1/n) * sum(d_i) = (1/n) * 2(n-1)

Simplifying the right-hand side, we get:

(1/n) * 2(n-1) = 2 - (2/n)

As n approaches infinity, the average degree approaches 2, but for any finite value of n, the average degree is always less than 2. Therefore, we have proven that the average degree in a tree is always less than 2.

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find the circumference

find the circumference

Answers

Answer:

18πm

Step-by-step explanation:

The area is πr^, so to find just the radius, take the square root of 81.

This means the radius is 9, and because the formula for the circumference is 2πr, simply double it and multiply by π to get 18π.

If you found this helpful, I would appreciate if you gave me the brainliest award :D

Which expression is 3 times 10 to the power of 7 times as great as 2 times 10 to the power of -4

Answers

Answer:

6 times 10 to the 3rd power or 6 • 10^3

Step-by-step explanation:

On this problem, you are multiplying numbers that are in scientific notation.

3 • 10^7 multiplied by 2 • 10^-4.

To do it, you multiply the first part of each number (the mantissas) and you multiply the powers of ten part (the ordinates) of the two.

So.... 3 times 2 is....

right... 6

Then...

10 to the seventh power    times    10 to the -4 power...

When you multiply the same base, you add the exponents...

So it is 10 to the "seven plus negative four" power.

That is 10 to the 3rd power.

So the final answer is

6 times 10 to the 3rd power.

Or

6 • 10^3

6 × 10³ is the multiplication of 3 × 10⁷ and 2 × 10⁻⁴.

What is the law of indices?

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

For example, 5³ = 5²5 here we break 5³ into 5² and 5, so it is called the law of indices.

Given that 3x10⁷ times as great as 2x10⁻⁴

Let x is 3 × 10⁷ times as great as 2 × 10⁻⁴.

Then,

x = (3 × 10⁷) × (2 × 10⁻⁴)

x = (3 × 2) × (10⁷ × 10⁻⁴)

x = 6 × 10⁷⁻⁴

x = 6  × 10³

Hence, "6 × 10³ is the multiplication of 3 × 10⁷ and 2 × 10⁻⁴".

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At the Sunshine Bakery, 351 loaves of seven-grain bread were baked in six hours and 15 minutes. Estimate how many loaves were baked in one hour.

60
55
65
70

Answers

Answer:

B

Step-by-step explanation:

We know that 351 loaves were baked in six hours and 15 minutes.

First, let's convert the time to minutes. 6 hours is 360 minutes, so 6 hours and 15 minutes is 360 + 15 = 375 minutes.

Therefore, we can write the following ratio:

\(\frac{351\text{ loaves}}{375\text{ minutes}}\)

We want to estimate how many loaves were baked in one hour or 60 minutes. So, we can write the following proportion:

\(\frac{351\text{ loaves}}{375\text{ minutes}}=\frac{x\text{ loaves}}{60\text{ minutes}}\)

Note that the loaves and time align horizontally, while the rates align vertically.

Since we're estimating, let's change 351 to 350 (I'm also going to remove the words, since they're not necessary). So:

\(\frac{350}{375}=\frac{x}{60}\)

We can reduce the left by dividing by 25. This yields:

\(\frac{14}{15}=\frac{x}{60}\)

Cross multiply:

\(15x=60(14)\)

Multiply and solve for x. So:

\(15x=840\\\Rightarrow x=56\approx55\text{ loaves}\)

Therefore, approximately 55 loaves were baked in one hour.

So, our answer is B.

And we're done!

Answer:

B)  55

Step-by-step explanation:

given

351 loaves baked in 6 hrs and 15 min.

15 min x (1 hr / 60 min) = 0.25 hr

find:

Estimate how many loaves were baked in one hour.

its a ratio and proportion:

351 loaves  =    x loaves       ( just cross multiply)

 6.25 hr               1 hr.

x loaves = 351 loaves ( 1 hr.)  

                        6.25 hr.

               = 56 ------->>> say 55

Part 2−20 Points - See Below Given this list of departments. 1. Receiving 2. Fabrication 3. Painting 4. Assembly \& Shipping 5. Offices 6. Restrooms \& lockers 7. Stores 1. Calculate how many relationship codes there will be in this chart. 2. Create an activity relationship diagram 3. Populate the diagram with codes for all the relationships 4. What is the percentage of codes in each category? Does it follow the standard percentages? 5. Provide at least 3 reason codes for the chart 6. Create a work sheet to assist in the creation of the dimensionless block diagram. 7. Create a dimensionless block diagram for your data B. Show the flow through the dimensionless block diagram

Answers

The task requires analyzing a list of departments and performing several tasks related to relationship codes, activity relationship diagrams, reason codes, a worksheet, and a dimensionless block diagram.

We need to consider the number of departments. Since we have 7 departments listed, the number of relationship codes can be calculated using the formula: (n * (n-1)) / 2, where n is the number of departments.

Substituting the value of n = 7, we get:

Relationship Codes = (7 * (7-1)) / 2

= (7 * 6) / 2

= 42 / 2

= 21

Therefore, there will be 21 relationship codes in the chart.

Create an activity relationship diagram:

An activity relationship diagram visually represents the relationships between departments. Here is a basic diagram representing the given departments:

Receiving --+

           +-- Assembly & Shipping -- Offices

Fabrication--+

           +-- Painting -- Stores

Restrooms & Lockers

Populate the diagram with codes for all the relationships:

To populate the diagram with codes, we can assign a unique code to each relationship. Here's an example of assigning codes to the relationships in the diagram:

Receiving (R) --+

               +-- Assembly & Shipping (AS) -- Offices (O)

Fabrication (F)--+

               +-- Painting (P) -- Stores (S)

Restrooms & Lockers (RL)

What is the percentage of codes in each category? Does it follow the standard percentages?

To determine the percentage of codes in each category, we need to count the number of codes in each category and calculate the percentage relative to the total number of codes (21).

In this case, we have the following categories and their respective codes:

Production: R, F, AS, P (4 codes)

Administration: O, S (2 codes)

Support: RL (1 code)

Percentage of Production codes = (4 / 21) * 100 ≈ 19.05%

Percentage of Administration codes = (2 / 21) * 100 ≈ 9.52%

Percentage of Support codes = (1 / 21) * 100 ≈ 4.76%

These percentages do not necessarily follow any standard percentages. The distribution of codes among categories can vary depending on the specific organization or context.

Provide at least 3 reason codes for the chart:

Reason codes are used to provide explanations or justifications for the relationships depicted in the chart. Here are three example reason codes for the given chart:

R01: Receiving department receives raw materials and supplies from external sources.

AS01: Assembly & Shipping department assembles products and prepares them for shipment.

O01: Offices department provides administrative support and management functions for the organization.

Create a worksheet to assist in the creation of the dimensionless block diagram:

Here's an example of a worksheet that can assist in creating the dimensionless block diagram:

Relationship Code From Department To Department

R Receiving Fabrication

F Fabrication Painting

AS Assembly & Shipping Offices

P Painting Stores

RL Restrooms & Lockers -

O Offices -

S Stores -

This worksheet lists the relationship codes along with the corresponding "From" and "To" departments.

Create a dimensionless block diagram for your data B. Show the flow through the dimensionless block diagram:

A dimensionless block diagram represents the flow of activities or information between different departments. Here's an example of a dimensionless block diagram based on the given data:

Receiving --> Fabrication --> Painting --> Stores

                  |

                  v

        Assembly & Shipping --> Offices

                  |

                  v

       Restrooms & Lockers

The arrows indicate the flow of activities or information from one department to another.

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The assumption that consumers make decisions based on cognitive biases and irrational decision making is best associated with which branch of economics?A. Emotional economics. B. Classical economics. C. Cognitive economics. D. Behavioral economics

Answers

The correct option is D. Behavioral economics studies the influence of cognitive biases and irrational decision-making on consumer behavior.

Behavioral economics combines insights from psychology and economics to understand how individuals make choices that deviate from the assumptions of classical economics. It recognizes that human behavior is often influenced by emotions, cognitive biases, and heuristics.

leading to deviations from rational decision-making. Behavioral economists study these behavioral patterns to develop more realistic models and theories that better capture the complexities of decision-making in real-world situations.

By incorporating psychological factors into economic analysis, behavioral economics provides a broader understanding of human behavior and its implications for economic outcomes.

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Hi can anyone help ༼ つ ◕_◕ ༽つ

Hi can anyone help _

Answers

Answer:

B. 16/25

Step-by-step explanation:

6

10

+

4

100

=  

6 × 10

10 × 10

+

4

100

=  

60

100

+

4

100

=  

60 + 4

100

=  

64

100

=  

64 ÷ 4

100 ÷ 4

=  

16

25

Answer:

\(\huge\boxed{\sf \frac{16}{25} }\)

Step-by-step explanation:

Given fraction:

\(\displaystyle \frac{6}{10} +\frac{4}{100}\)

To equalize the denominator, we will have to multiply the fraction 6/10 by 10.

\(\displaystyle =\frac{6 \times 10}{10 \times 10} +\frac{4}{100} \\\\\ =\frac{60}{100} +\frac{4}{100}\)

Now, that the denominator is equal, we can add both the fractions.

\(\displaystyle= \frac{60+4}{100} \\\\=\frac{64}{100}\)

Divide both numerator and denominator by 2.

\(\displaystyle = \frac{64 \div 2}{100 \div 2} \\\\= \frac{32}{50}\)

Divide again.

\(\displaystyle= \frac{32 \div 2}{50 \div 2} \\\\= \frac{16}{25} \\\\\rule[225]{225}{2}\)

If John can paint half of a room in two-thirds of an hour, what part of the room can he paint in a full hour?

Answers

Answer:

0.75(3/4) part of the room

Step-by-step explanation:

Step one:

given data

we can express the given data mathematically as

John can paint 0.5room in 2/3 hours

let the part of the room he can paint in an hour be x

so

if he takes 2/3 hours to paint 0.5 room

then he will take 1 hour to paint x

cross multiply we have

x= 0.5/2/3

x=0.5*3/2

x= 1.5/2

x=0.75 part of the room

75/100= 15/20=3/4 part

A and B are two events. Let P(A)=0.45, P(B)=0.2, and P(A and B)=0.65 Are the events are independent?

Answers

Answer:

\(P(A ) \times P( B) = 0.45 \times 0.2 \\ = 0.09\)

They are not independent

Spencer has a bag with 10 marbles. There are 6 white marbles and 4 black marbles.

Spencer picks a marble at random.

Write as a decimal the probability of Spencer picking a black marble.

Answers

Spencer has a bag with 10 marbles. There are 6 white marbles and 4 black marbles.

Spencer picks a marble at random.

Write as a decimal the probability of Spencer picking a black marble

4 Black Marbles

+

6 white Marbles

=10

THE ANSWER IS :

4/10

Lowest Term :

2/5

As a Decimal:

0.4

MABUHAY!

The probability of Spencer picking a black marble is approximately 0.4 or 40%.

To find the probability of Spencer picking a black marble, we can use the formula for probability:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

In this case, the number of favorable outcomes (picking a black marble) is 4, as there are 4 black marbles in the bag. The total number of possible outcomes (picking any marble) is 10, as there are 10 marbles in total.

Now, we can calculate the probability:

Probability = 4 / 10

Simplifying the fraction, we get:

Probability = 2 / 5

To express the probability as a decimal, divide the numerator (2) by the denominator (5):

Probability = 2 ÷ 5

Probability ≈ 0.4

The probability represents the likelihood of an event occurring, and in this case, it tells us the chance of Spencer picking a black marble out of the 10 marbles in the bag.

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Which of the following is a solution of y > |x| - 6? A(-1, -5) B(-5, 1) C(5, -1)

Answers

Answer:

B(-5, 1)

Step-by-step explanation:

We can test each value in the equation and see if the equation works out.

\(y > |x| - 6\)

Let’s try A - (-1, -5).

\(-5 > |-1|-6\\\\-5 > 1-6\\-5>-5\)

-5 is NOT greater than -5, it is equal so A doesn’t work.

Let’s try B, (-5, 1).

\(1 > |-5| -6\\1 > 5-6\\1 > -1\)

1 IS greater than -1, so B works.

Let’s try C for fun.

\(-1 > |5| -6\\-1 > 5-6\\-1 > -1\)

-1 is NOT greater than -1, it is equal, so it doesn’t work.

Hope this helped!

Answer:

B(-5,1)

Let us simply just write this in all scenarios.

A(-1,-5)

-5>|-1|-6

-5>-5

(False)

B(-5,1)

1>|-5|-6

1>-1

(True)

C(5, -1)

-1>|5|-6

-1>-1

False

Find the probability.
A cooler contains fifteen bottles of sports
drink: five lemon-lime flavored, five
orange flavored, and five fruit-punch
flavored. You randomly grab a bottle for
your coach, a bottle for your friend, and a
bottle for yourself. Your coach and your
friend get orange. You get a fruit-punch.

Answers

Answer:

aaaaaa

Step-by-step explanation:

did it on edge

5a) Determine the measure of each unknown angle

5a) Determine the measure of each unknown angle

Answers

Answer:

Step-by-step explanation:

25, i think

The distance between points A and B is?

The distance between points A and B is?

Answers

Answer:

√85

Step-by-step explanation:

A (-3 , 4)    B (4 , -2)

AB² = (4 - -3)² + (-2 -4)² = 49 + 36 = 85

AB = √85

Suppose you have $320. If you decide to spend it all on ice cream, you can buy 80 pints. If the price of a glass of lemonade is 3.2 times less than the price of ice cream, how much iemonade can you buy if you decide to spend all your money on it? if necessary, round all intermediate calculations to two decimal places and your final answer to the nearest whole number.

Answers

To know how much lemonade you can buy with $320, we first need to determine the price of a pint of ice cream. Since you can buy 80 pints with $320, the price of one pint of ice cream is $320 divided by 80, which equals $4.

Next, we need to find the price of a glass of lemonade, which is 3.2 times less than the price of ice cream. Therefore, the price of a glass of lemonade is $4 - (3.2 * $4) = $4 - $12.8 = -$8.8.

Since the price of lemonade is negative, it indicates that you will receive money back for every glass of lemonade you buy. However, since you cannot have a negative quantity of lemonade, the answer would be zero.

In summary, with $320, you can buy zero glasses of lemonade.

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you want to compute a 90% confidence interval for the mean of a population with unknown population standard deviation. the sample size is 30. the value of t* you would use for this interval is

Answers

The value of t* would use for this interval is 1.699 to compute a 90% confidence interval.

It is given that the confidence = 90% or 0.9

also, the sample size (n) = 30

The degrees of freedom is the sample size decreased by 1:

df = n - 1

df   = 30 - 1

df = 29

The critical value t* can then be found in the row with df = 29 and in the column with c = 90% (or upper tail probability p = 0.05) using table B.

t* = 1.699

The image attached is t* table

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you want to compute a 90% confidence interval for the mean of a population with unknown population standard

Determine the value of X


please help me

Determine the value of X please help me

Answers

Using the intersecting secants theorem, the value of x in the external part of the secant line is 12.

What is the mumerical value of x?

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one  of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment"

From the diagram:

External line segement of the first secant line = 8 cm

First sectant line segment = ( 16 + 8 ) cm

External line segement of the second secant line = x

Second sectant line segment = ( x + 4 ) cm

Using the Intersecting secants theorem:

x × ( x + 4 ) = 8 × ( 8 + 16 )

Solve for x:

x² + 4x = 192

x² + 4x - 192 = 0

Factor using AC method:

( x - 12 )( x + 16 ) = 0

Equate each factor to zero:

( x - 12 ) = 0

x - 12 = 0

x = 12

( x + 16 ) = 0

x + 16 = 0

x = -16

Since, we are dealing with dimensions, we take the positive value:

Hence:

x = 12.

Therefore, the value of x is 12.

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please help i am so confused

please help i am so confused

Answers

9514 1404 393

Answer:

  1. vertex: J, sides: JH and JK

  5. angle 3, angle M, angle LMN, angle NML

  10. angles 1, 3, 6, HVJ, HVK, HVL, JVK, JVL, KVL, JVH, KVH, LVH, KVJ, LVJ, LVK

Step-by-step explanation:

Your question has too many parts for the kind of answers Brainly is intended to provide. So, we hope to alleviate your confusion by providing examples of the way these questions are answered.

__

An angle can be named by any of ...

its vertexan angle designator in an unambiguous place (usually inside, near the vertex)three points, with the vertex listed in the middle

Note that angle ABC consisting of rays BA and BC sharing end point B can also be named angle CBA.

__

1. The rays share end point J. That is the vertex of the angle. The rays are named using the end point first, so the rays in this diagram are JH and JK.

The vertex is J; the sides are JH and JK.

__

5. We note there is an angle designator inside near the vertex, point M. That designator can be used to name the angle: angle 3.

There are only two rays that meet at vertex M, so the angle can also be named by naming the vertex: angle M.

The angle can also be named by naming an point on each ray, with the vertex in the middle: angle LMN or angle NML.

The four ways to name this angle are: angle 3, angle M, angle LMN, angle NML.

__

10. All of the angles with numeric designators have V as a vertex. Those angles are angle 3, angle 1, angle 6.

In this case, we cannot use V to name an angle, because many angles have vertex V. That name would be ambiguous, not referring to a specific angle.

The other angles that have V as a vertex can be named by naming their rays. There are 4 rays that meet at vertex V. Any two will identify an angle. There are 4·3 = 12 permutations of 4 rays taken 2 at a time. For example, if we choose to use rays VJ and VK as the two rays of our angle, we can name it two ways: JVK or KVJ. (This particular angle is also angle 1.)

So, the angles that have V as a vertex are ...

  angles HVJ, HVK, HVL, JVK, JVL, KVL, JVH, KVH, LVH, KVJ, LVJ, LVK

Please helpppp

side lengths, surface areas, and volumes fo...
a designer builds a model of a sports car. the finished model is exactly the same shape as the original, but smaller. the scale factor is 3:11
(a) find the ratio of the surface area of the model to the surface area of the original.
(b) find the ratio of the volume of the model to the volume of the original.
(c) find the ratio of the width of the model to the width of the original.
nrite these ratios in the format m:n.
surface area:

volume:
width:

Answers

The ratios are: surface area 9:121, volume 27:1331, width 3:11.

(a) The ratio of the surface area of the model to the surface area of the original can be found by using the scale factor to find the ratio of the corresponding side lengths. Since surface area is proportional to the square of the side length, we can use this ratio squared to find the ratio of the surface areas.
The ratio of the corresponding side lengths is 3:11, so the ratio of the surface areas is (3/11)^2, which simplifies to 9/121.
Therefore, the ratio of the surface area of the model to the surface area of the original is 9:121.
(b) The ratio of the volume of the model to the volume of the original can be found using the same method as above, but with volume instead of surface area. Since volume is proportional to the cube of the side length, we can use this ratio cubed to find the ratio of the volumes.
The ratio of the corresponding side lengths is 3:11, so the ratio of the volumes is (3/11)^3, which simplifies to 27/1331.
Therefore, the ratio of the volume of the model to the volume of the original is 27:1331.
(c) The ratio of the width of the model to the width of the original can be found directly from the scale factor, since width is one of the corresponding side lengths.
The ratio of the corresponding side lengths is 3:11, so the ratio of the widths is 3:11.
Therefore, the ratio of the width of the model to the width of the original is 3:11.
Overall, the ratios are: surface area  9:121, volume  27:1331, width 3:11.

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Given u = ⟨2, –8⟩ and v = ⟨8, –2⟩, what is u · v?

Answers

Answer:

I think it's C. 0

Step-by-step explanation:

On Edge

how many standard errors is the observed value of px from 0.10

Answers

The number of standard errors the observed value of px is from 0.10 can be determined using statistical calculations.

To calculate the number of standard errors, we need to know the observed value of px and its standard deviation. The standard error measures the variation or uncertainty in an estimate or observed value. It is calculated by dividing the standard deviation of the variable by the square root of the sample size.

Once we have the standard error, we can determine how many standard errors the observed value of px is from 0.10. This is done by subtracting 0.10 from the observed value of px and dividing the result by the standard error.

For example, if the observed value of px is 0.15 and the standard error is 0.02, we would calculate (0.15 - 0.10) / 0.02 = 2.5. This means that the observed value of px is 2.5 standard errors away from the value of 0.10.

By calculating the number of standard errors, we can assess the significance or deviation of the observed value from the expected value of 0.10 in a standardized manner.

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Tim has read 40% of a book. He has 42 more pages to finish. How many pages are there in the book?

Answers

Answer:

66 pages

Step-by-step explanation:

I think that is the answer hope it helps you.

Tim has read 40% of a book. He has 42 more pages to finish. How many pages are there in the book?

Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²

Which number should be added toboth sides of this quadratic equationto complete the square?(-3/2) + 1

Answers

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Picture

Your picture shows the required value: (-3/2)² = 9/4.

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Find the mean of thefollowing probability distribution. x 0 1 2 3 4 P(x) 0.19 0.37 0.16 0.26 0.02

Answers

The mean of this probability distribution is 1.55.

To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:

mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
    = 0 + 0.37 + 0.32 + 0.78 + 0.08
    = 1.55

Therefore, the mean of this probability distribution is 1.55.

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The prime factor trees for 14 and 15 are
shown.
a) Write down the lowest common
multiple (LCM) of 14 and 15 as the
product of its prime factors.
b) Hence, work out the lowest common
multiple (LCM) of 14 and 15.
2
14
7
3
15
5

Answers

Answer:

14 = 2 * 7

15 = 3 * 5

LCM = 2 * 3 * 5 * 7 = 210

(2^-2 •3^-1•5^0)^-1 exponent solving

Answers

The answer is 12.

fkfkfkfk

Question 11
Solve the simultaneous equations
4x + 2y = 9
x - 2y = 1

Answers

The value of x and y is (5,2)

We have given that,

4x + 2y = 9 ........(1)

x - 2y = 1.......(2)

We have to solve the simultaneous equation

What is the simultaneous equation?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

adding equations 1 and 2 so we get,

4x + 2y = 9

x - 2y = 1

----------------

5x-0y=10

\(5x=10\\x=10/2\\x=5\)

Use the value of x in equation 2 so we get,

\(5-2y=1\)

\(-2y=1-5\)

\(-2y=-4\)

\(y=-4/-2\)

\(y=2\)

Therefore the value of x and y is (5,2)

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