Blanche invested $9800 in a savings account with a yearly interest rate of 2% for 15 years. How much simple interest did she earn?

The required if the chosen coin lands on heads in exactly 3 of the 4 flips, we can conclude that if Coin A is used (assuming it's a fair coin), the probability of observing this outcome is 0.25.

To make a conclusion about which coin was used based on the result of the flips, we need to consider the probability distribution associated with each coin. Without specific information about the coins, we'll make a general assumption that the coins are fair (have an equal chance of landing on heads or tails) and independent (the outcome of one flip does not affect the outcome of another flip).

Let's consider two scenarios: Coin A and Coin B.

Scenario 1: Coin A is fair.

If Coin A is fair, the probability of getting heads in a single flip is 0.5. The probability of getting exactly 3 heads in 4 flips can be calculated using the binomial distribution. The probability is given by:

P(A) = (4 choose 3) * (0.5)^3 * (0.5)^(4-3) = 4 * (0.5)^4 = 4/16 = 1/4 = 0.25

Scenario 2: Coin B is biased.

If Coin B is biased, meaning it has a higher probability of landing on heads, let's say the probability of heads is p. Since Coin B is biased, the probability of getting exactly 3 heads in 4 flips would depend on the value of p.

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Answer:

x=71 y=109

Step-by-step explanation:

(a) The solution is x = 32, y = 2.

(b) The system has no solution.

(c) The system has no unique solution.

To use Cramer's Rule, we need to compute the determinants of the coefficient matrix and each augmented matrix.

(a) The coefficient matrix is

1 1

2 -1

and its determinant is (1)(-1) - (2)(1) = -3.

The augmented matrix is

1 1 34

2 -1 30

and its determinant is (1)(-1) - (2)(1) = -3.

Using Cramer's Rule, we have

x = (-3(34) - 1(30))/-3 = 32

y = (1(34) - (-2)(30))/-3 = 2

(b) The coefficient matrix is

2 -3

-4 6

and its determinant is (2)(6) - (-3)(-4) = 0.

The augmented matrix is

2 -3 5

-4 6 10

and its determinant is (2)(6) - (-3)(-4) = 0.

Since the determinant of the coefficient matrix is zero, the system has no solution.

(c) The coefficient matrix is

3 1

2 -2

and its determinant is (3)(-2) - (2)(1) = -8.

The augmented matrix is

3 1 7

2 -2 7

and its determinant is (3)(-2) - (2)(1) = -8.

Since the determinant of the coefficient matrix is nonzero but the determinant of the augmented matrix is zero, the system has no unique solution.

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The P-value is greater than the 1% level of significance. We fail to reject the null hypothesis at the 1% level of significance.

What is mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given that,
Sample size, n=24

5 4 5 4 4 3 6 4 3 3 5 6 3 3 2 7 4 5 2 2 2 3 5 2

Sample mean is defined as:
¯x=∑xin

Excel function for the sample mean:

=AVERAGE(5,4,5,4,4,3,6,4,3,3,5,6,3,3,2,7,4,5,2,2,2,3,5,2)

¯x = 3.83

Sample standard deviation is defined as:

s = ∑ ( x i − ¯ x ) 2 n − 1

Excel function for the sample standard deviation:

=STDEV(5,4,5,4,4,3,6,4,3,3,5,6,3,3,2,7,4,5,2,2,2,3,5,2)

s = 1.435 The null hypothesis is, H 0:μ =3.18

The alternative hypothesis is, H a : μ ≠ 3.18

t-test statistic is defiend as: t =
¯ x − μ s / √ n t = 3.83 − 3.18 1.435 / √ 24 t = 2.219

Excel function for the P-value:

=TDIST(2.219,23,2)

P-value = 0.0366

The P-value is greater than the 1% level of significance. We fail to reject the null hypothesis at the 1% level of significance.

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Answer:

  0.13824

Step-by-step explanation:

You want the probability of exactly 4 successes in 6 trials if the probability of success in each trial is 0.4.

The probability of k successes in n trials with each having a probability of success of p is given by the formula ...

  P(k of n) = nCk·p^k·(1-p)^(n-k)

  P(4 of 6) = 6C4·0.4^4·0.6^2 = 15·0.0256·0.36 = 0.13824

The probability of exactly 4 successes is 0.13824.

__

Additional comment

The binomial coefficient nCk is computed as ...

  nCk = n!/(k!(n-k)!)

<95141404393>

Answer:

x=-2 , y=9

Step-by-step explanation:

\(\left \{ {{-3x+3=y} \atop {-x+3y=29}} \right.\\-x+3(-3x+3)=29\\-x-9x+9=29\\-10x=29-9\\-10x=20\\x=\frac{20}{-10} =>x=-2\\\\-3x+3=y\\-3(-2)+3=y\\6+3=y=>y=9\)

Answer:

a. x can be 7 or more and c. theoretically becouse x can be 7 but the answer they want is a.

Explanation:

x - 2 >= 5

move numbers to one side

x >= 5 + 2

x >= 7

from the answers we know x has to be grater or equal 7

Answer:

$2.50

Step-by-step explanation:

Answer:

2.50

Step-by-step explanation:

5.00/2= 2.50

Hpe this helps!

The program provided sets up output destination options and then executes a PROC PRINT statement to display the data from the "orion.test" dataset. However, without running the program, I can still provide an explanation based on the code.

In the code, the ODS (Output Delivery System) statements are used to control the output format and destination. The first line, "ods all close;", closes all open ODS destinations. The second line, "ods html file='c:\test.html' style=meadow;", directs the output to an HTML file named "test.html" located at "c:\test.html" with a specific style called "meadow". The next line, "ods html close;", closes the HTML output destination.

Following that, the "ods listing;" statement directs the output to the default output destination, which is typically the SAS log or output window. Then, the PROC PRINT statement is used to print the data from the "orion.test" dataset.

Considering the output destinations set up in the program, the output will be available in three different places. First, it will be saved as an HTML file named "test.html" at "c:\test.html". Second, if you have the SAS output window or log open, you will be able to see the output there as well. Finally, the output will also be available as a CSV file since the "ods csvall;" statement directs the output to be generated in CSV format.

In summary, the program generates output in three locations: an HTML file, the SAS output window or log, and a CSV file. These destinations allow for different ways to access and review the output data.

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Answer:

Step-by-step explanation:

5000 to the power of 4

is too much for the calculator

and it will do this in return for asking this.

6.25e+14

Hope this helps! <3

Answer:

6.25^14

Step-by-step explanation:

Answer:

(7,9)

Step-by-step explanation:

7x - 8y = -23

7x - 7y = -14

Solve the equation for 7x

7x - 8y = -23

7x = -14 + 7y

Substitute the given value of 7x into the equation 7x - 8y = -23

-14 + 7y - 8y = -23

solve the equation for y

y = 9

substitute the given value of y into the equation 7x = -14 + 7y

7x = -14 + 7(9)

solve the equation for x

x = 7

(7,9)

Answer:

answer given in the phot

Answer: x+42x-2

Step-by-step explanation:

Answer: Part A: 4x    Part B: 4x

Step-by-step explanation: you have to add them

Answer:

see explanation

Step-by-step explanation:

given that V is directly proportional to h³ , then the equation relating them is

V = kh³ ← k is the constant of proportion

to find k use the condition V = 48 when h = 4 , then

48 = k × 4³ = 64k ( divide both sides by 64 )

\(\frac{48}{64}\) = k , then k = 0.75

V = 0.75h³ ← equation of proportion

1

when h = 3 , then

V = 0.75 × 3³ = 0.75 × 27 = 20.25 cm³

2

when h = 6 , then

V = 0.75 × 6³ = 0.75 × 216 = 162 cm³

then

162 ÷ 20.25 = 8

the volume will be 8 times bigger

The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

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Answer:

is d because one of the characteristics of the functions is that there cannot be x that have multiple images in the range (y)

cos(30)=x/8

Rewrite the equation as

x/8=cos(30)

Multiply both sides of the equation by

8

.

8

⋅

x/8=8⋅cos(30)

Simplify both sides of the equation.

Tap for more steps...

x=4√3

The result can be shown in multiple forms.

Exact Form:

x=4√3

Decimal Form:

x=6.9282032

Answer: yes

Step-by-step explanation:

The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9

The movie claims that 40% of your brain is used for visual decoding.

Williams, the William G. Allyn Professor of Medical Optics, notes that processing visual information takes up more than 40% of the cortex, the surface of the brain.

Light and dark pixels in the eye are where our visual experience begins. These signals are sent to the V1 region in the rear of the brain, where they are changed to match to the borders of visual scenes.

The visual cortex processes information from the sensory periphery in accordance with a highly regulated hierarchy, according to experiments utilizing static stimuli, such as images. The information about visual sceneries is subsequently translated by deeper brain areas into more intricate forms, objects, and ideas.

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Answer:

Translated down 9

Step-by-step explanation:

if there is minus and a contant on the outside (like this situation) it translates down.

If there is a plus, then it translates up

If there is a minus next to the x, it translates that many units to the right

If there is a plus, it translates that many units to the left

Answer:

Step-by-step explanation:

BA = Number of hits / Times at bat

BA = 280 / 300

BA = 0.933

No one past or present, has ever had that kind of batting average.

Ty Cobb has a lifetime average of 0.366

Ted Williams was the last play to average 0.406 in a season. (Over 400). He did it in 1941.

Answer:

.06

Step-by-step explanation:

.9 is the tenths, .06 is the hundredths, .005 is the thousandths, .0002 is the ten thousandths.

Answer:

6

Step-by-step explanation:

The hundreths place is the second spot behind the decimal point, so it would be 6.