About 6 randomly selected people were asked how long they slept at night. The mean time was 7 hours, and the standard deviation was 0.6 hour. Calculate the 80% confidence interval of the mean time by assuming that the variable is normally distributed. Provide only the value required below. Express your answer in 3 decimal places.a. te (negative value only):

The time needed to reach the amount of $21000 will be 36.5 years.

It is given that

Principle = $8600

Rate = 3.95%

Total amount = $21000

So the total interest will be = Amount -principle = 21000-8600=$12400

So by using the formula

\(SI = \dfrac{P\times R\times T}{100}\)

Here p = principle

R= Rate of interest

T= time

SI= interest amount

Now putting the values

\(12400= \dfrac{8600\times3.95\times T\time}{100}\)

\(T=\dfrac{12400\times100}{3.95\times8600}\)

\(\rm T=36.5 \ years\)

Thus the time needed to reach the amount of $21000 will be 36.5 years.

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The root of the function f(x) = 4xcos(3x - 5) in the interval [-7, -6] using the Regula Falsi Method is approximately -6.413828.

The zero/s of the function f(x) = 2.75(x/5) - 15 using the Bisection Method is approximately 12.2712212.

To find the root of a function using the Regula Falsi Method, we follow these steps:

Step 1: Start with an initial interval [a, b] where the function f(x) changes sign. In this case, we have the interval [-7, -6].

Step 2: Calculate the values of f(a) and f(b). If either f(a) or f(b) is zero, then we have found the root. Otherwise, proceed to the next step.

Step 3: Find the point c on the x-axis where the line connecting the points (a, f(a)) and (b, f(b)) intersects the x-axis. This point is given by:

c = (a  f(b) - b f (a) ) / ( f(b) - f(a) )

Step 4: Calculate the value of f(c). If f(c) is zero or within a specified tolerance, then c is the root. Otherwise, proceed to the next step.

Step 5: Determine the new interval [a, b] for the next iteration. If f(a) and f(c) have opposite signs, then the root lies between a and c, so set b = c. Otherwise, if f(b) and f(c) have opposite signs, then the root lies between b and c, so set a = c.

Step 6: Repeat steps 2-5 until the desired level of accuracy is achieved or until a maximum number of iterations is reached.

Applying these steps to the given function f(x) = 4xcos(3x - 5) in the interval [-7, -6], we find that the root is approximately -6.413828.

To find the zero/s of a function using the Bisection Method, we follow these steps:

Step 1: Start with an interval [a, b] where the function f(x) changes sign and contains a root. In this case, you haven't provided the interval.

Step 2: Calculate the midpoint c of the interval: c = (a + b)/2.

Step 3: Calculate the value of f(c). If f(c) is zero or within a specified tolerance, then c is the root. Otherwise, proceed to the next step.

Step 4: Determine the new interval [a, b] for the next iteration. If f(a) and f(c) have opposite signs, then the root lies between a and c, so set b = c. Otherwise, if f(b) and f(c) have opposite signs, then the root lies between b and c, so set a = c.

Step 5: Repeat steps 2-4 until the desired level of accuracy is achieved or until a maximum number of iterations is reached.

Without the interval for the function f(x) = 2.75(x/5) - 15, we cannot find the zero/s using the Bisection Method.

Therefore, the root of the function f(x) = 4xcos(3x - 5) in the interval [-7, -6] using the Regula Falsi Method is approximately -6.413828, and the zero/s of the function f(x) = 2.75(x/5) - 15 using the Bisection Method cannot be determined without the interval.

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The solution for the linear equation is a = -26/21, so the correct option is the first one counting from the top.

Here we have a mathematical statement that can be written as the following linear equation:

-a - 4/7= 2/3

To solve this for a, we just need to isolate a in one of the sides of the equation, so let's do taht.

-a - 4/7 = 2/3

a = -4/7 - 2/3

Now we need a common denominator in the right side, i will use 21.

a = -12/21 - 14/21 = -26/21

So the correct option is the first one.

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The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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The combination is solved and number of ways the driver select the students to ride the bus is A = 5005 ways

Given data ,

Let the initial number of students be n = 15

Now , the number of students selected = 6

And , from the combination rule , we get

ⁿCₓ = n! / ( ( n - x )! x! )

On simplifying the equation , we get

¹⁵C₆ = 15! / 6!(15-6)!

¹⁵C₆ = 5005 ways

Hence , the number of students selection is 5005 ways

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Answer:

Step-by-step explanation:

1.35q^10

2.12w^4

3.32x^4

4.10^8

5.30s^7

6.8^4

7.30s^9

8.1728x^6

9.6x^5

10.1y^7

11.25^5

12.24k^8

13.2y^6

14.1d^7

15.2l^3

Step-by-step explanation:

3x - 5 = 2x - 25

3x - 2x = -25 + 5

x = -20

The value of x from the given figure is 42°.

The given angles are (3x-5)° and (2x-25)°.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

from the given figure,

y+(2x-25)°=180° (Adjacent angles adds up to 180°)

⇒ y=180°-2x+25°

⇒ y=205°-2x

Here, (3x-5)°=y (Corresponding angles are congruent)

⇒ (3x-5)°=205°-2x

⇒ 3x+2x=205+5

⇒ 5x=210

⇒ x=42°

Hence, the value of x from the given figure is 42°.

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Step-by-step explanation:

in isoscles triangles two angles and lengths are equal .

two sides equal 3.5

so both of the angles are 55°

the sum of the angles in a triangle is 180°, so

x = 180° - 55° - 55°

x = 70° (Ans)

Answer:

2 Gallons.

Step-by-step explanation:

If 8 gallons are lost in one hour, then 4 will be lost in 30 minutes. Half of thirty minutes is 15 minutes, and half of 4 is 2.

Answer: what do u need help in ?

Step-by-step explanation:

Answer:

The correct option is;

D. Accounting manager

Step-by-step explanation:

Mid level managers such as accounting managers in a large establishment can comprise three different managers, including accounts payable manager, account receivables manager, and the payroll administrator. However, in a small firm the accounting manager can be responsible for the  above accounting duties

In a large establishment, the financial controller has three accounting managers reporting directly to her, which are the accounts receivable manager, the payroll manager, and the account payable manger. In a small firm however all the above named accounting functions will be performed the accounting manager.

Answer:

its the option b

Step-by-step explanation:

All options consist of deviding by the total whic is untrue but dividing by 100 is percentage exactly what you need

Help me by giving brainliest

Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

Answer:

I don’t I’m a middle schooler

Step-by-step explanation:

Let's denote the cost of a large pizza as CC and the number of toppings as TT. From the given information, we have the following two scenarios:

A large pizza with 2 toppings costs $13.50.

This can be represented as the ordered pair (2,13.50)(2,13.50).

A large pizza with 5 toppings costs $17.75.

This can be represented as the ordered pair (5,17.75)(5,17.75).

To find the equation representing the situation, we need to determine the additional charge per topping. Let's denote this charge as AA

From the given information, we can set up two equations:

C+2A=13.50C+2A=13.50 (for the first scenario)

C+5A=17.75C+5A=17.75 (for the second scenario)

Solving this system of equations, we find that C=10C=10 and A=1.75A=1.75.

Therefore, the equation representing the situation is C+TA=10+1.75TC+TA=10+1.75T, where CC is the cost of the pizza and TT is the number of toppings.

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To find the coefficient of the z⁴q¹² term in the expansion of (2z+q)¹⁶, we can use the binomial formula. The coefficient can be determined by applying the formula and identifying the appropriate combination of terms.

The binomial formula, also known as the binomial theorem, allows us to expand the expression (2z+q)¹⁶. The formula states that for any positive integer n, the expansion of (a+b)ⁿ can be represented as the sum of terms with coefficients determined by the combination formula.

In this case, we are interested in the term with z⁴q¹². The binomial formula is given by: (a+b)ⁿ = C(n, k) * a^(n-k) * b^k, where C(n, k) represents the combination of choosing k terms from a set of n terms.

For the term with z⁴q¹², we need to find the coefficient C(16, k) where k represents the power of q. Since we want q¹², we set k = 12. Plugging these values into the binomial formula, we can calculate the coefficient of the desired term.

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Answer:66

Step-by-step explanation:

Answer: Well if there are 6 people in total they each will receive 7 chocolate cookies, and 4 oatmeal cookies, because 6 is a factor for both 24 and 42. Ans 7 is also a factor of 42 therefore, here is the answer.

The four distinct pawns can be arranged in 24 different ways on a 4x4 chessboard.

This is because there are 4 columns and 4 rows on the board, and the pawns must be placed in each column and row such that no more than one pawn is on any one row or column. Each pawn can be placed in any one of the 4 positions within the column or row, giving a total of 4^4, or 256, possible arrangements. However, some of these arrangements will result in two or more pawns being in the same row or column, which is not allowed. Subtracting these invalid arrangements leaves 24 valid arrangements.

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Answer:

it is 2 minus six

2-6

Step-by-step explanation:

hdgeheksdiddh

Answer:

-27/64

Step-by-step explanation:

Exact form

-27/64

Decimal Form

-0.421875

Answer:

\(\frac{1}{8}\)

Step-by-step explanation:

The probability for a flip on either side of the coin is always 50% or \(\frac{1}{2}\)

So to get the probability for the three flips just do:

\((\frac{1}{2}) ^{3}\)  or \(\frac{1}{2}\) × \(\frac{1}{2}\) × \(\frac{1}{2}\)

Either way you solve it the answer is \(\frac{1}{8}\)

Answer:

y=-4/3x+4/5

———————-

A statistical test with a p-value (p) of 0.01 means that there is a 1% probability of obtaining the observed results, or more extreme results, purely by chance if the null hypothesis is true.

The null hypothesis typically states that there is no significant relationship or effect between the variables being studied. In other words, the p-value helps us determine the likelihood of observing the data we have if the null hypothesis holds true.

A p-value of 0.01 is considered statistically significant, as it is less than the commonly used threshold of 0.05. This means that there is strong evidence against the null hypothesis, and we might reject it in favor of the alternative hypothesis. The alternative hypothesis proposes that there is a significant relationship or effect between the variables. It's important to note that a low p-value doesn't prove causation, but it does suggest a significant association between the variables that warrants further investigation.

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Answer:

8: 14 is the prime number

9: 15 is the composite number

Step-by-step explanation:

I hope this helped :)

Answer:

PRIME: 2, 17, 19, 27, 27

COMPOSITE: 14, 15, 51

Step-by-step explanation:

Hope this helps:)

Given:

Given that

Required:

To find the other five trig ratio.

Explanation:

Now the hypotenuse is,

Now,

Final Answer:

The six trig ratio are

Answer:

0 true for all values

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

Answer:

there are 120 animals

Step-by-step explanation:

if cows are 40%, then "not cows" is 60%

so 72 animals 60% of all the animals on the farm

60% of 120 is 72

Answer:

180

Step-by-step explanation:

Easy way: they're conjugate angles relative to the two parallel sides and the trasversal joining them, their sum is 180.

Longer(??) way: In a parallelogram two opposite angles are congruent. Since the sum of the internal angles is 360, a pair of two different angles must sum to 180.

Step-by-step explanation:

In a Parallelogram ABCD , ∠ A + ∠B = 180°

Since , The Adjacent angles in a Parallelogram are Supplementary.

Additional comment:

• In a Parallelogram, Opposite angles are equal

•The sum of two adjacent angles is 180° called Linear pair.