MATHEMATICS COLLEGE

I need urgent help with this

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The inverse relation

x y

5 -2

-3 4

1 6

-1 8

Related Questions

Pleaae tell fast plzzzzzzzzzzz
The ratio of Sunita's age to Mark's age is currently 3 to 4, and in 12 years, it will be 5 to 6. What is Mark's current age?A) 18B)24C)30D)36
What is the circumference of the circle?1) 2 by 6 rectangle is inscribed in circle2) 5 by 5 square is inscribed in circle3) 5 by 6 rectangle is inscribed in circle4)2 by 15 rectangle is inscribed in circle5) 1 by 12 rectangle is inscribed in circle
Please answer this as quick as possible
Please help me. Full explanation. WIll mark brainliest.

The mean life of a television set is 119 months with a standard deviation of 13 months. If a sample of 67 televisions is randomly selected, what is the probability that the sample mean would differ from the true mean by less than 2 months? Round your answer to four decimal places.

Answers

The probability that the sample mean would differ from the true mean by less than 2 months is 0.7923.

n=67μ=119σ=13

The probability that the sample mean would differ from the true mean by less than 2 months.

$P(|X-u| < 2)=P(((119-2)-119)/(13/√(67) ) < \frac{X-u}{sigma/{√(n) } } < ((119+2)-119)/(13/√(67) ) )$

$=P((-2)/(0.6247) < Z < (2)/(0.6247) )$

$=P(-1.26 < Z < 1.26)$

$=P(Z < 1.26)-P(Z < -1.26)$

$=(0.896165-0.103835)=0.792331=0.7923$

Hence, the answer is 0.7923

What is probability explain?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it

What are the basic concepts of probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

How do you calculate probability?

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

To learn more about probability, refer

brainly.com/question/10734660

#SPJ2

Answer:

Provided in the picture below.

Step-by-step explanation:

Provided in the picture below.

5. Identify the type and subtype of each of the fol-lowing problems.

a. Shawn has 15 marbles, which is 7 more mar-

bles than Kyle has. How many marbles does

Kyle have?

b. Tiffany has 12 blocks, 5 of which are cubes

and the rest cylinders. How many blocks are

cylinders?

c. Peter had some carrots. After he ate 3 of

them, he had 14 carrots left. How many car-

rots did Peter have before?

d. In a bag of 17 marbles, 9 marbles belong to

Kelly and the rest belong to Shauntay. How

many marbles belong to Shauntay?

Answers

Answer:

a) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntay

Answer:

a) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntaya) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntay

Step-by-step explanation:

Suppose you are climbing a hill whose shape is given by the equation z = 900 − 0.005x2 − 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (120, 80, 764). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend descend Correct: Your answer is correct.

Answers

Answer:

Ascend

Step-by-step explanation:

In order to solve this problem, we are going to use some principles of vector calculation. The concepts we are going to use are Partial derivatives, gradient vector, velocity vector, direction vector, and directional derivative.

The gradient vector is a vector that describes how is the 'slope' in the space of a multivariable function at a specified point; it is built as a vector of partial derivatives. The vector velocity is a vector that describes the direction and speed of the movement of a body, if we make the velocity a unitary vector (a vector whose norm is 1), we obtain the direction vector (because we are not considering the real norm of the vector, just direction). Finally, the directional derivative is a quantity (a scalar) that describes the slope that we get on a function if we make a displacement from a particular point in a specific direction.

The problem we have here is a problem where we want to know how will be the slope of the hill if we stand in the point (120, 80, 764) and walk due south if the hill has a shape given by z=f(x,y). As you see, we have to find the directional derivative of z=f(x,y) at a specific point (120, 80, 764) in a given displacement direction; this directional derivative will give us the slope we need. The displacement direction 'u' is (0,-1): That is because 'y' axis points north and our displacement won't be to the east either west (zero for x component), just to south, which is the opposite direction of that which the y-axis is pointing (-1 for y component). Remember that the direction vector must be a unitary vector as u=(0,-1) is.

Let's find the gradient vector:

$z=900-0.005x^2-0.01y^2\n(\partial z)/(\partial x)=-0.005*2*x=-0.01x\n(\partial z)/(\partial y)=-0.01*2*y=-0.02y\n \nabla (z)=(-0.01x,-0.02y)$

Evaluate the gradient vector at (120,80) (764 is z=f(120,80); you may confirm)

$\nabla (z(120,80))=(-0.01*120,-0.02*80)=(-1.2,-1.6)$

Finally, find the directional derivative; if you don't remember, it can be found as a dot product of the gradient vector and the direction vector):

$D_(u,P_0)= \nabla (z)_(P_0)\cdot u\nD_(u,P_0)= (-1.2,-1.6)\cdot (0,-1)=1.6$

As you see, the slope we find is positive, which means that we are ascending at that displacement direction.

This exercise involves the formula for the area of a circular sector. the area of a sector of a circle with a central angle of 170° is 70 m2. find the radius of the circle. (round your answer to one decimal place.) m

Answers

The formula of interest is
A = (1/2)r²·θ
You have A = 70 m², θ = 170° = 17π/18 rad. Then the radius is found from
70 m² = (1/2)r²(17π/18)
(36·70 m²)/(17π) = r²
r ≈ √47.18476 m
r ≈ 6.9 m

The radius of the circle is 6.9 m.

How to find the radius of the circle?

The area of the sector of a circle given by the formula:

A = /360 * (r²)

where r is the radius of the circle and is the central angle of the sector

We have:

= 170°

A = 70 m²

We need to solve for r:

A = /360 * (r²)

70 = 170/360 * * r²

r² = (70 * 360)/(170 * )

r² = 47.18

r = √47.18

r = 6.9 m

Learn more about sector on:

brainly.com/question/22972014

#SPJ2

Interest centers around the life of an electronic component. Let A be the event that the component fails a particular test and B be the event that the component displays strain but does not actually fail. Event A occurs with probability 0.39, and event B occurs with probability 0.24. A) What is the probability that the component does not fail the test?
B) What is the probability that a component works perfectly well (i.e., neither displays strain nor fails the test)?
C) What is the probability that the component either fails or shows strain in the test?

Answers

Answer: a. 0.61

b. 0.37

c. 0.63

Step-by-step explanation:

From the question,

P(A) = 0.39 and P(B) = 0.24

P(success) + P( failure) = 1

A) What is the probability that the component does not fail the test?

Since A is the event that the component fails a particular test, the probability that the component does not fail the test will be P(success). This will be:

= 1 - P(A)

= 1 - 0.39

= 0.61

B) What is the probability that a component works perfectly well (i.e., neither displays strain nor fails the test)?

This will be the probability that the component does not fail the test minus the event that the component displays strain but does not actually fail. This will be:

= [1 - P(A)] - P(B)

= 0.61 - 0.24

= 0.37

C) What is the probability that the component either fails or shows strain in the test?

This will simply be:

= 1 - P(probability that a component works perfectly well)

= 1 - 0.37

= 0.63

Find an integer that leaves a remainder of 2 when divided by either 3 or 5, but that is divisible by 4.

Answers

We want an integer $x$ such that

$x\equiv\begin{cases}2&\pmod3\n0&\pmod4\n2&\pmod5\end{cases}$

Note that the moduli are all relatively prime, so we can use the Chinese remainder theorem right away. As a first step, let's suppose

$x=4\cdot5\cdot2+3\cdot5\cdot0+3\cdot4\cdot2$

Taken modulo 3, the last two terms immediately vanish, and $4\cdot5\cdot2=40\equiv1\pmod3$ . We want a remainder of 2, so we just multiply this term by 2.

$x=4\cdot5\cdot2^2+3\cdot5\cdot0+3\cdot4\cdot2$

Next, taken modulo 4, all terms vanish, so we're good here.
Then, taken modulo 5, the first two terms vanish and we're left with $3\cdot4\cdot2\equiv24\equiv4\pmod5$ . We want a remainder of 2. To rectify this, we can first multiply this term by the inverse of 4 modulo 5, then multiply again by 2. This guarantees that

$3\cdot(4\cdot4^(-1))\cdot2^2\equiv2\pmod5$

The inverse of 4 modulo 5 is 4, since $4^2\equiv16\equiv1\pmod5$ , so we end up with

$x=4\cdot5\cdot2^2+3\cdot5\cdot0+3\cdot4^2\cdot2^2=272$

You can confirm for yourself that 272 satisfies the desired conditions. The CRT says that any integer of the form

$272\pmod{3\cdot4\cdot5}\equiv32\pmod60$

will work, i.e. $32+60n$ where $n\in\mathbb Z$ , and in particular 32 is the smallest positive solution.

Other Questions

WHO WANTS BRAINLIST??

Will give 100 points to anyone who can find the arc measure and show work! thanks!

Sofia has fruit in a basket she has 3 3/8 and 2 7/8 she evenly splits it amount 4 ppl

Determine whether or not the given procedure results in a binomial distribution. For those that are not binomial, identify at least one requirement that is not satisfied.a) Treating 863 subjects with Lipitor (Atorvastatin) and recording whether there is a "yes" response when they are each asked if they experienced a headache.b) Treating 863 subjects with Lipitor (Atorvastatin) and asking each subject "How does your head feel?" c) Twenty different Senators are randomly selected from the 100 Senators in the current Congress, and each was asked whether he or she is in favor of abolishing estate taxes.d) Fifteen different Governors are randomly selected from the 50 Governors currently in office and the sex of each Governor is recorded.