Questions 1 to 4: Finding t-values Question 1: Suppose random variable y follows a t-distribution with 16 df. What Excel command can be used to find k where P(Y>k)=0.1? Question 2: Suppose random vari

Answer:

Find the "=0" points

in between the "=0" points, are intervals that are either

greater than zero (>0), or

less than zero (<0)

then pick a test value to find out which it is (>0 or <0)

Steps to solve:

(-5q^2 + 6q + 7) - (-q^2 + 4q)

~Distribute the left side

-5q^2 + 6q + 7 + q^2 - 4q

~Combine like terms

-4q^2 + 2q + 7

Best of Luck!

Answer:

-4q^2+2q+7

Remove unecessary parenthesis

-5q^2+6q+7-(-q^2+4q)

when there is a - in front of an expression in parenthesis, change the sign of each term in the expression

-5q^2+6q+7+q^2-4q

collect like terms -5q^2 and q^2

-4q^2+6q+7-4q

-4q^2+2q+7

if x is an integer it does not show the median of the 5 numbers to be greater than the average of the 5 numbers

The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.

Finding the middle number requires sorting all the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers). Example: When the numbers are arranged (1, 4, 7), the number 4 lies in the center, making it the median of 4, 1 and 7.

(1) x must be higher than one or three. It will be the median if it is 8 or fewer.

Consequently, if x = 7, then the list is 1, 3, 7, 8, 12, and median is 7, while the average is 31/5, which equals 6.2, and the answer is YES.

The list is 1, 3, 8, 8, 12, and the median is 8 if x = 8. Average = 32/5 = 6.4; if x = REALLY BIG, the list is 1, 3, 8, 12, and x; and the median is 8; the answer is YES. The answer to the question is NO since the average is REALLY BIG.

insufficient

(2) According to the aforementioned findings, x must be at least 9.

Depending on the amount of x, the list is either 1, 3, 8, x, 12, or 1, 3, 8, x.

The median and mean expressions are the same, regardless of whether order is appropriate:

Mean (average): 8 median = (1 + 3 + 8 + 12 + x)/5 = (24 + x)/5 mean (average):

The mean is at least (24 + 9)/5 = 33/5 = 6.6 since x is at least 9.

This is not convincing because the mean might be either millions or 6.6 (if x = 9) (if x is huge).

insufficient

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Answer:

42b -7.5

I think that's the answer since you are getting a discount which means you are subtracting

Store #1 has the better price amount , as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs.

Store #1 has the better price, as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs. To compare the prices, we need to calculate the cost per dozen eggs for each store. To do this, we divide the cost by the number of eggs. For Store #1, the cost per dozen eggs is $1.44 divided by 12, which is $0.12. For Store #2, the cost per dozen eggs is $4.68 divided by 36, which is $0.13. Therefore, Store #1 has the better price, as it is cheaper than Store #2. By comparing prices, we can find the best deal for our money. It is important to compare prices to get the best value for our money, as it can help us save money in the long run. Additionally, by comparing prices, we can make sure we are getting the highest quality product at the best price.

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Answer:

1.  \(6.4+2.7+1.6+53 = 63.7\)

2.   \(4/3 * 7 * 3 * 10 =280\)

Step-by-step explanation:

Given

1. 6.4+2.7+1.6+53

2. 4/3×7×3×10

Required

Evaluate

Solving (1):

\(6.4+2.7+1.6+53\)

Using Cumulative Property of Addition; We have

\(6.4+2.7+1.6+53 = 63.7\)

Solving (2):

\(4/3 * 7 * 3 * 10\)

Using Cumulative Property of Multiplication; We have

\(4/3 * 7 * 3 * 10 =280\)

Answer:

Step-by-step explanation:

Given, 12 / (-4) * 3 + 5

Here we can use the BODMAS rule and solve this problem.

B ⇒ Brackets

O ⇒ Of

D ⇒ Division

M ⇒ Multiplication

A ⇒ Addition

S ⇒ Subtraction

Now, let’s solve this by applying the BODMAS rule.

In the given sum we can find the Brackets in (-4).

12 / -4 * 3 + 5

There is no Of in this sum.

Let’s gust ignore it.

12 / -4 * 3 + 5

In this sum we can Divide 12 and -4.

-3 * 3 + 5

In this sum we can Multiply -3 and 3.

-9 + 5

In this sum we can Add -9 and 5.

-4

Answer:

GAFD

Step-by-step explanation:

250*0.3 is 75

250-75 175

so D

GAFD

Hope this helps plz hit the crown :D

Answer:

GEFD

Step-by-step explanation:

Answer:

The cost of one gallon of gas in Toronto, Canada is $3.458.

Solution:

Given, One gallon of gasoline in buffalo, New York costs $2.29.  

In Toronto, Canada, one liter of gas costs $0.91.  

There are 3.8 liters in one gallon.  

We have to find how much does one gallon of gas cost in Toronto?

Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.

Cost of one gallon of gas = 0.91 x 3.8 = 3.458

Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.

dome7w and 28 more users found this answer helpful

Step-by-step explanation:

Answer:

Y=3x-1, Slope is 3 and y-intercept is -1.

-x+3=y, Slope is -1 and y-intercept is 3

x-3=y, Slope is 1 and y-intercept is -3.

y=1-3x, Slope is -3 and y-intercept is 1

Step-by-step explanation:

Follow the mx+b form

The m is slope

The b is y-intercept

Doesnt matter what way it is the slope is always behind the variable.

The y-intercept is alone by itself there is no variable next to it.

Hope it help U

A. y = 3x-1; slope is 3 and y-intercept is -1

B. -x+3 = y; slope is -1 and y-intercept is 3

C. x-3 = y; slope is 1 and y-intercept is -3

D. y = 1-3x; slope is -3 and y-intercept is 1

Option A:

slope m = 3

y-intercept c = -1

Option B:

slope m = -1

y-intercept c = 3

Option C:

slope m = 1

y-intercept c = -3

Option D:

slope m = -3

y-intercept c = 1

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Step-by-step explanation:

Since a is the final altitude after t minutes, we can plug in 21,000 for a in the given equation.

21,000 = 3400t + 600

Solve for t.

20,400 = 3400t

t = 6 minutes

The area of a parallelogram can be obtained from the formula for a rectangle by using the same base and height, leading to the formula Area of parallelogram = base x height.

By moving the red triangle to the green triangle, we create a rectangle with the same base and height as the original parallelogram. Therefore, the area of the original parallelogram is equal to the area of the rectangle, which is given by the formula:

Area of rectangle = base x height

We can conclude that the formula for the area of a parallelogram is also given by:

Area of parallelogram = base x height

This is because a parallelogram can be divided into two congruent triangles, and the area of each triangle is half the area of the parallelogram. Therefore, the area of a parallelogram is equal to the base times the height, which is the same as the formula for the area of a rectangle.

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On solving the provided question we can say that here the probability P(X<3) = 0.7102 and P(X>3) = 0.5801.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

P(X = 3) = 0.2903

P(X>3) = 0.5801

P(X<3) = 0.7102

mean=2.8

standard deviation=1.2961

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Answer:

-14

Step-by-step explanation:

isolate x's on one side so subtract 8.5x and add 1 on both sides

\(-14 = 1x\)

simplifies to

x = -14

The vector A is (49.9m) x and vector B is (1.5m) x.

In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.

Find the vector A. Find the vector B.

We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).

A − B = −51.4.............................(1)

C = 62.2.............................(2)

A + B + C = 13.8.............................(3)

Now putting the value of C from Equation (2) in Equation (3)

A + B + C = 13.8

A + B + 62.2 = 13.8

Subtract 62.2 on both side, we get

A + B = 13.8 - 62.2

A + B = - 48.4.....................(4)

Adding the equation (1) and (4), we get

2A = - 99.8

Divide by 2 on both side, we get

A = - 49.9

Now subtracting the equation (1) and (4), we get

2B = -48.4 - ( -51.4)

2B = 3

Divide by 2 on both side, we get

B = 1.5

Since all of the calculations are done in terms of the unit vector x.

So the answer is vector B = (1.5m) x and vector A = (49.9m) x.

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Answer:

-7y + 4x + 14

Step-by-step explanation:

We first need to simplify the expression removing parentheses

Simplify -7(y - 2):  Distribute the -7 to each term in (y-2)

-7 * y = (-7 * 1)y = -7y

-7 * -2 = (-7 * -2) = 14

Our Total expanded term is -7y + 14

Simplify x(9 - 5):  Distribute the x to each term in (9-5)

x * 9 = (1 * 9)x = 9x

x * -5 = (1 * -5)x = -5x

Our Total expanded term is 9x-5x

Our updated term to work with is -7y + 14 + 9x - 5x

Evaluate the y terms:

-7y  ← There is only one y term

Evaluate the x terms:

9x + - 5x

(9 - 5)x

4x

Evaluate the constants:

14  ← There is only one constant

Combining all like terms, we get:

-7y + 4x + 14

Analyze the 3 terms of the polynomial -7y + 4x + 14

The point (3, 2) is feasible for the constraint 2x1 + 6x2 ≤ 30. (False)

To determine if a point is feasible for a constraint, we need to substitute the values of the point into the constraint equation and check if the resulting inequality holds true.

In this case, the constraint is 2x1 + 6x2 ≤ 30. Substituting x1 = 3 and x2 = 2 into the equation, we get 2(3) + 6(2) = 6 + 12 = 18. Since 18 is not less than or equal to 30, the inequality is not satisfied.

Therefore, the point (3, 2) is not feasible for the given constraint. Feasible points satisfy the constraint, while infeasible points do not. In this case, any point that lies below the line represented by the constraint equation would be feasible, while points above the line would be infeasible.

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Answer:

(0,-2)

Step-by-step explanation:

a. What can you use to find the height of the pole?

solution: We can use Pythagoras theorem to find the height of the pole.

b. Write and solve a quadratic equation to find the height of the pole.

solution:

a² + b² = c²

\(\sf (x)^2 + (x-3)^2 = 15^2\)

\(\sf x^2 + x^2 - 6x + 9 = 15^2\)

\(\sf 2x^2 -6x + 9 = 225\)

\(\sf 2x^2 -6x -216=0\)

\(\sf 2x^2 -24x +18x -216 = 0\)

\(\sf 2x(x-12)+18(x-12) = 0\)

\(\sf (2x + 18)(x-12) = 0\)

\(\sf x = 12, -9\)

\(\sf x = 12\)

height of the pole: 12 ft

c. How far is the hook from the base of the pole?

solution: (x-3) → (12-3) → 9

Answer:

548km^2

Explanation:

if the surface area is 137 km, and then it has a dialation of 4, then all you need to do is multiply by 137 by 4, which equals 548. That means the surface area of cylinder B is 548 km^2. Hope that helps.

Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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Answer:

Step-by-step explanation:

Y is a becse it past the orgin

Answer:

There is a key for a good life just work hard be nice and that key will be in your posetion

Step-by-step explanation:

all you have to do is work hard no need for brainly

x² – 9 can be factored using the "x² - bx + c = (x - a)(x - b)" formula.

The expression X + 4 can be a prime number if X = 3. In this case, X + 4 = 7, which is a prime number.

As for x² – 9, it can be factored using the formula x² - bx + c = (x - a)(x - b), where a and b are the roots of the equation and c is the product of the roots. To find the roots of the equation, we can use the formula x = (-b ± √(b² - 4ac))/2a, where a = 1, b = 0, and c = -9.

Applying the formula, we have:

x = (-0 ± √(0 - 4 × 1 × -9))/2 × 1

x = ±3.

So, x² - 9 can be factored as (x - 3)(x + 3).

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--The given question is incomplete; the complete question is

"X + 4 is prime x² – 9 can be factored using the____ formula."--

The number of 4-digits numbers less than 6000 that can be found is 1000 numbers.

A divisibility rule is a convenient shorthand for checking if an integer is divisible by a given set divisor without actually doing the division, typically by looking at the digits of the number.

Note that:

4-digits numbers less than 6000And 4 digits number always starts from 1000That is, 1000 - 6000 all together.

To get the number of times the 4-digits numbers are divisible by 5 and remainder of 0.

The difference between 6000 and 1000= 5000

To get how many distinct digits that are divisible by:

55000/5 = 1000

Therefore, 1000 numbers of 4-digit numbers are divisible by 5 having a remainder of 0.

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The distance between the points (-6,7) and (-1,1) is  7.81 units

We know that the distance formula between two points (x₁, y₁) and (x₂, y₂) is:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

We need to find the distance between the points (-6,7) and (-1,1)

Let (x₁, y₁) = (-6, 7)

and (x₂, y₂) = (-1, 1)

Using above distance formula, the distance between the points (-6,7) and (-1,1) would be,

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(1 - 7)² + (-1 - (-6))²]

d = √[(1 - 7)² + (-1 + 6)²]

d = √[(-6)² + (5)²]

d = √[36 + 25]

d = √(61)

d = 7.81 units

This is the required distance.

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Therefore , the solution of the given problem of equation comes out to be y = (-1/5)x + 4 is the required equation.

The equivalent sign (=) is used in arithmetic equations to signify the equality of two propositions. It is shown that it is possible to compare various numerical factors by using mathematical techniques, which have served as manifestations of reality. For instance, the equal sign divides the number 12 even the solution y + 6 = 12 in two distinct portions. How many characters also are present from either end of such a character can be calculated. Conflicting symbol readings are prevalent.

Here,

The given equation of line j is y+5=5(x+5) which can be rewritten in slope-intercept form as y = 5x + 20.

Since line k is perpendicular to line j, the slope of line k will be the negative reciprocal of the slope of line j. The slope of line j is 5, so the slope of line k will be -1/5.

We are also given that line k includes the point (5,3). We can use this point and the slope of line k to find the equation of line k using point-slope form:

y - 3 = (-1/5)(x - 5)

Simplifying and rearranging, we get:

y = (-1/5)x + 4

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Answer:

yes it does because its the same both ways

Step-by-step explanation: