I’ll give you brainliest!!!! What is the slope of the line containing (-4.3) and (2,-1)

The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

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A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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Answer:

212=70+(m X 0.40)

If $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Cost of car rent per day for 100 miles = $70

Additional cost per mile = $0.40

Let m = number of miles driven

Total cost for one day rental = $212

The equation that represents the additional m = miles driven for a day that cost $212 is:

212 - 70 = 0.40m

142 = 0.40m

m = 142 / 0.40

m = 355

This means 355 additional miles were driven.

The number of miles driven for the day is:

= 100 + 355

= 455 miles

Thus if $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.

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In this case, the experimental probability is D. 0.860

First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.

A. 0.140

B. 0.167

C. 0.667

D. 0.860

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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No, (12, 3, 12, 4, 19) is not a 5-permutation.

A permutation is a sequence of numbers or objects in which the order matters. In order for a sequence to be a valid permutation, each element must be unique and must not repeat. In the sequence (12, 3, 12, 4, 19), 12 is repeated, so it is not a valid permutation.

A permutation can also be thought of as an arrangement of objects in which the order of the objects matters. In a 5-permutation, there would be 5 unique objects arranged in a specific order.

Since (12, 3, 12, 4, 19) contains a repeated number, it does not represent a valid 5-permutation. In order for it to be a valid 5-permutation, each number in the sequence must be unique.

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Answer:

2.5t

Step-by-step explanation:

Let the man be

x

feet away from the street light, and his shadow length be

y

, Let the tip of the shadow be

l

feet away from the light such that

l

=

x

+

y

and we are given that

d

x

d

t

=

2

By similar triangles:

y

6

=

x

+

y

30

∴

30

y

=

6

(

x

+

y

)

∴

30

y

=

6

x

+

6

y

∴

30

y

−

6

y

=

6

x

∴

24

y

=

6

x

∴

y

=

1

4

x

Now,

l

=

x

+

y

⇒

l

=

x

+

1

4

x

∴

l

=

5

4

x

Differentiating wrt

x

gives;

d

l

d

x

=

5

4

And by the chain rule we have:

d

l

d

t

=

d

l

d

x

d

x

d

t

∴

d

l

d

t

=

5

4

×

2

∴

d

l

d

t

=

2.5

feet/sec

Answer:

what does it mean by that? I maybe can help if there's more words and explaining in that question.

Answer:

350000

Step-by-step explanation:

500 × 700 = 350000

Answer:

500 × 700 = 350000

Answer:

C - The relationship represents a function because each input gives one unique output.

Step-by-step explanation:

To see if it is a function we can do the line test where we have a vertical line and "drag" it along the line. As long as it only hits the line once in every situation it is a function! We can see this passes and therefore the answer is c.

(why is it not d? you can have a non-linear line, but still have a function)

Answer:

Problem formulation is improper.

Step-by-step explanation:

A linear programming model is a mathematical method used for solving linear problems through the use of decision variables and objective functions.

In linear programming models of real problems, the occurrence of an unbounded solution means that the problem formulation is improper.

Hence, if the formulation of a linear real problem is not correct or improper, it would result in an unbounded solution.

This simply means that, the objective function which primarily defines the quantity to be maximized or minimized in a linear programming model was formulated improperly.

Hence, for a bounded solution in a linear programming model, the objective function and the decision variable should be proportional.

In a broader view, the conditions necessary for a linear programming model with bounded solutions are;

1. It should be a single objective either to minimize or maximize.

2. It should have continuous variables.

3. Both objective and constraints must be linear.

4. The value of the decision variable must be positive.

Answer:

125 Dolphins

Step-by-step explanation:

The number of dolphins varied linearly with the number of fish.

The number of dolphins = D

The number of fish = F

Hence:

D ∝ F

D = kF

When 400 fish were present 250 dolphins appeared

Solving for k

250 = 400k...... Equation 1

Also

when 300 fish were present, 200 dolphins appeared.

200 = 300k...... Equation 2

So: we find k = Constant of Proportionality

250 = 400k...... Equation 1

200 = 300k...... Equation 2

We Subtract Equation 2 from Equation 1

50 = 100k

k = 50/100

k = 1/2

How many dolphins would appear if 250 fish were present?

D = kF

D = 1/2 × 250

D = 125 Dolphins

Answer:

5.5t is equal to 5.5 kilograms

F FOR FUN. NOT FOR SON.

Mauricio got f by the cinema hall owner.

The shortest distance between his house and the cinema 8.4261 km. Mauricio travelled a total of 11 km which is more than 8.4261 km.

Given that, Mauricio is driving from his house to the cinema.

He drives 3 kilometers to the south and 8 kilometers to the west and arrives at the cinema. The diagram is attached below.

So, totally she travelled around 3+8 km i.e., 11 km.

Now according to the Pythagoras's theorem, the length of hypotenuse is equal to the sum of squares of other two sides.

From the diagram, CH is the hypotenuse.

So, \(CH = \sqrt{CO^{2}+OH^2 }\)

⇒ CH = √3²+8²

⇒ CH = √9+64

⇒ CH = √71

⇒ CH = 8.4261

Therefore the shortest distance between his house and the cinema is 8.4261 km.

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Answer:

860.71m³

Step-by-step explanation:

V(cuboid) = bhd

V(cylinder) = h(pi)r²

V(shape) = cuboid - cylinder

cuboid = 10 x 10 x 12

cuboid = 1200m³

cylinder = 12(pi)3²

cylinder = 12(pi)9

cylinder = 339.292m³

shape = 1200 - 339.292

shape = 860.71m³

Answer:

860.9 -ish

Step-by-step explanation:

To find that volume we need to find the volume of the rectangular prism and subtract the volume of the cylinder.  

First, lets find the volume of the prism.  

V=lwh  

V=10*10*12  

V=1200

Now, find the volume of the cylinder.  

V=Pie*Rsquared*h

V=3.14*3squared*12

V is about 339.12  

Now do  

1200-339.12=860.88

So it is about 860.9  

Answer:

Step-by-step explanation:

lo siento, pero su pregunta no tiene sentido.

Answer:

1780

Step-by-step explanation:

Answer:

A = $5,561

Step-by-step explanation:

Compound Interest

It occurs when the interest is reinvested instead of paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

\({\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}\)

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

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

The investment is given as P=$500 at a compound interest of r=12.8%=0.128. Since the compounding period is not given, we assume n=1 (once per year). We are required to calculate the money in the account after t=20 years.

Substituting:

\({\displaystyle A=\$500\left(1+{\frac {0.128}{1}}\right)^{1*20}}\)

\({\displaystyle A=\$500\left(1.128}\right)^{20}}\)

A = $5,561

Answer:

No

Step-by-step explanation:

No picture of the bacteria provided, but according to some text books its arround 0.2 - 2m in micrometer measurement, so 3 x 10^-11 is far more smaller than the range.

Answer:

-3.5, -3, -2 1/2, -2, 2.5

Step-by-step explanation:

Answer:

-3.5,-3,-2 1/2,-2,2.5

Answer: (4)

Step-by-step explanation:

The first part has a closed hole at x=0 and an open hole at x=4, so it should be \(0 \leq x < 4\).

This eliminates all the options except for (4).

The piecewise function that represents the graph will be f(x) = x + 2, 0 ≤ x < 4 and f(x) = x - 3, 4 ≤ x < 8. Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A function that is based on a series of intervals is known as a specific goal. The absolute value serves as a frequent illustration. Other piecewise functions include the Boolean stepping, rectangle, and triangle functions.

The slope of the line is one. And the y-intercept is 2 and -3. Then the equation of the line is given as,

f(x) = x + 2, 0 ≤ x < 4

f(x) = x - 3, 4 ≤ x < 8

The piecewise function that represents the graph will be f(x) = x + 2, 0 ≤ x < 4 and f(x) = x - 3, 4 ≤ x < 8. Then the correct option is D.

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The density of an object with a mass of 180 grams and a volume of 45 cm is 0.4 kg/m.

What is density?

So the formula will be d = m / v

The mass of the object is 180 g

The volume of the object is 45 cm

Putting the value in the formula

d = 180 g / 45 cm = 0.4 kg/m

Thus, the density of an object will be 0.4 kg/m.

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Answer:

A. Y=3/5x-4

Step-by-step explanation:

with the original equation, subtract -3x.

with your new equation, divide by -5.

that should give you your answer

Answer:

Step-by-step explanation:

\(x^{2}\) + 18x +c = 25+c

\(x^{2}\) + 18x +\(9^{2}\) =25+\(9^{2}\)    (the c just cancels out and add \(9^{2}\))

\((x+9)^{2}\) -106 = 0

Step-by-step explanation:

let 'x' represent the total number of students in the class

5 = 20% of x

0.20x = 5 divide both sides by 0.20

x = 25 students

there are 25 students in the class.

I'm not sure about the answer but still I think its right.....

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}\)

➜ Area of the lot = 2x² + 7x + 3 cm²

➜ Width of the garden = 2x + 1 cm.

➜ Length of the garden = y

﹋﹋﹋﹋﹋

✪ Area of a rectangle = length × width

⇒ length = area ÷ width

⇒ y = 2x² + 7x + 3 ÷ 2x + 1

﹋﹋﹋﹋﹋

WORKING ↷

\( \tt \: y = \frac{ {2x}^{2} + 7x + 3}{2x + 1} \\ \\ \sf \: Factorise \: {2x}^{2} + 7x + 3. \\ \\ \tt \: y = \frac{\left(x+3\right)\left(2x+1\right)}{2x+1} \\ \\ \sf \: Cancel \: out \:( 2x + 1 )\\ \\ \large\boxed{\boxed{\bf y = x+3 }}\)

✯ Length of the garden = x + 3 cm.

▨▧▨▧▨▧▨▧▨▧▨▧▨▧▨▧▨

➜ Area of the frame = 4x² - 4xy + y² cm²

➜ Length of the side of the frame = s

﹋﹋﹋﹋﹋

✪ Area of a square = side²

⇒ 4x² - 4xy + y² = s²

﹋﹋﹋﹋﹋

WORKING ↷

\( \tt {4x}^{2} - 4xy + {y}^{2} = {s}^{2} \\ \\ \sf \: Use \: the \: algebraic \: identity \downarrow \: \\ \sf {a}^{2} - 2ab + {b}^{2} = (a - b) ^{2} ... \\ \sf \: a = 2x \: and \: b = y \\ \\ \tt \left(2x-y\right)^{2} = {s}^{2} \\ \\ \sf \: Squaring \: on \: both \: the \: sides \\ \\ \tt \sqrt{(2x - y) ^{2} } = \sqrt{ {(s)}^{2} } \\ \large\boxed{\boxed{\bf \: (2x - y) = s}}\)

✯ Length of the side of the frame = 2x - y cm.

▨▧▨▧▨▧▨▧▨▧▨▧▨▧▨▧▨

➜ Length of the rectangle = x + 5 cm

➜ Width of the garden = x + 3 cm.

➜ Area of the garden = a

﹋﹋﹋﹋﹋

✪ Area of a rectangle = length × width

⇒ a = (x + 5) × (x + 3)

﹋﹋﹋﹋﹋

WORKING ↷

\( \tt \: a = (x + 5) \times (x + 3) \\ \\ \sf \: multiply \: (x + 5) \: with \: (x + 3) \\ \\ \tt \: a = (x + 5) \times (x + 3) \\ \tt \: a = x(x + 3) + 5(x + 3) \\ \tt \: a = {x}^{2} + 3x + 5x + 3 \\ \large \boxed{\boxed{ \bf \: a = {x}^{2} + 8x + 3}}\)

✯ Area of the rectangle = x² + 8x + 3 cm².

▨▧▨▧▨▧▨▧▨▧▨▧▨▧▨▧▨

➜ Length of the side of a square = x + 6 cm

➜ Area of the square = a

﹋﹋﹋﹋﹋

✪ Area of a square = side × side

⇒ Area of a square = side²

⇒ a = (x + 6)²

﹋﹋﹋﹋﹋

WORKING ↷

\( \tt \: a = (x + 6) ^{2} \\ \\ \sf \: Use \: the \: algebraic \: identity \downarrow \: \\ \sf (a + b) ^{2} = {a}^{2} + 2ab + {b}^{2} ... \\ \sf \: a = x \: and \: b = 6 \\ \\ \tt \: a = (x + 6) ^{2} \\ \tt \: a = {x}^{2} + 2 \times x \times 6 + {6}^{2} \\ \large \boxed{\boxed{ \bf \: a = {x}^{2} + 12x + 36}}\)

✯ Area of the square = x² + 12x + 36 cm².

▨▧▨▧▨▧▨▧▨▧▨▧▨▧▨▧▨

The incident ray, reflected ray, and normal ray all lie in the same plane at the point of incidence, according to the laws of reflection. (ii) Both the incidence and reflection angles are equal.

Therefore, reflection angles are equal.

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Answer:

66°

Step-by-step explanation:

mJK = ( 6x - 45 )°

mJH = ( x + 20 )°

mJK = mJH

6x - 45 = x + 20

5x = 65

x = 13

mHK = ( x + 20 )° + ( 6x - 45 )°

mHK = 2 × 33° = 66 °

The probability distribution provided by the law enforcement group can be a useful tool in predicting traffic violations and can help inform decisions regarding traffic enforcement strategies.

The probability distribution provided by the law enforcement group can provide valuable insights into the likelihood of individuals receiving speeding tickets over a given period. The distribution indicates that the probability of randomly selecting individuals who have received 0 speeding tickets in the last 2 years is 0.08, which is relatively low compared to the other probabilities.

The probability of selecting individuals who have received at least 1 ticket is high, with a probability of 0.31 for one ticket, 0.25 for two tickets, 0.18 for three tickets, and 0.10 for four tickets. The probability of selecting five individuals who have received speeding tickets in the last 2 years is relatively low at 0.08.

This probability distribution can be used to estimate the likelihood of specific scenarios. For example, if a group of 100 individuals is randomly selected, the expected number of individuals who have received at least one speeding ticket in the last 2 years is approximately 92. If the group is randomly selected again, the probability of selecting 5 individuals who have all received speeding tickets is approximately 0.000081.

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