Help me out with this

Answer:

(a)  {(3,4),(3,5), (6,8), (6,9),(9,12), (9,13)}

(b) The inverse relation is not a function

Step-by-step explanation:

Inverse Function

If a relation is given as a set of points (x,y), the inverse relation will have the same points with its coordinates switched.

The relation is given as the set:

{(4,3),(5,3), (8,6), (9,6),(12,9), (13,9)}

(a) The inverse relation is:

{(3,4),(3,5), (6,8), (6,9),(9,12), (9,13)}

(b)

A relation is a function if each element of the input set is related to one and only one element of the output set.

The inverse relation is not a function because several points don't meet the above condition. For example, (3,4) and (3,5) relate the element 3 with two elements.

Answer

Your saviour has come!

The answer is A

Step-by-step explanation:

The reading that separates the highest 11.58% from the rest is 1.22°C.

To find the reading that separates the highest 11.58% from the rest, we need to find the z-score corresponding to the upper 11.58% of the standard normal distribution.

Step 1: Convert the percentile to a z-score using the standard normal distribution table. The upper 11.58% corresponds to a lower percentile of 100% - 11.58% = 88.42%.

Step 2: Look up the z-score corresponding to the 88.42% percentile in the standard normal distribution table. The z-score is approximately 1.22.

Step 3: Use the formula z = (x - μ) / σ to find the reading (x) that corresponds to the z-score.

Rearranging the formula, we have x = μ + z * σ.

Given that the mean (μ) is 0°C and the standard deviation (σ) is 1.00°C, we can substitute these values into the formula.

x = 0 + 1.22 * 1.00

= 1.22°C.

Therefore, the reading that separates the highest 11.58% from the rest is 1.22°C.

The reading that separates the highest 11.58% from the rest is 1.22°C.

To know more about standard deviation visit:

brainly.com/question/13498201

#SPJ11

96

In this type of box plot, the two end lines are the absolute maximum and minimum values, each edge of the box is the lower and upper 25%, respectively from left to right, and the line in the box is 50%

So the answer here is the right edge of the box, or 96

The satellite should be insured for 98 months (rounded up to the nearest month) to be 96% confident that the microchip will last beyond the insurance date.

To answer this question, we need to find the number of months for which we can be 96% confident that the microchip will not malfunction. This means we want to find the value of x such that P(X > x) = 0.04, where X is the random variable representing the life expectancy of the microchip.

We know that X follows a normal distribution with mean μ = 92 months and standard deviation σ = 3.6 months. Therefore, we can standardize X to the standard normal distribution Z ~ N(0, 1) using the formula

Z = (X - μ) / σ

We can then rewrite the probability P(X > x) as

P(X > x) = P(Z > (x - μ) / σ)

1.75 = (x - 92) / 3.6

Solving for x, we get

x = 98 months

Learn more about standard normal distribution here

brainly.com/question/31379967

#SPJ4

The given question is incomplete, the complete question is:

A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 92 months and a standard deviation of 3.6 months. when this computer-relay microchip malfunctions, the entire satellite is useless. a large london insurance company is going to insure the satellite for 50 million dollars. assume that the only part of the satellite in question is the microchip. all other components will work indefinitely. a button hyperlink to the salt program that reads: use salt.for how many months should the satellite be insured to be 96% confident that it will last beyond the insurance date?

Therefore, The combined expression using the laws of logarithms is:
log2((√7)/9)

To combine these expressions, we can use the properties of logarithms that state:
log a(b) + log a(c) = log a(bc)  and  log a(b) - log a(c) = log a(b/c)
Using these properties, we can rewrite the expression as:
log2(7^1/2) - log2(3^2)
Simplifying further, we get:
log2(√7) - log2(9)
Using the second property, we can combine the logarithms to get:
log2(√7/9)
log2(√7/9)
1/2 * log2(7) - 2 * log2(3)
We can use the properties of logarithms to simplify this expression. We'll use the power rule and the subtraction rule of logarithms.
Power rule: logb(x^n) = n * logb(x)
Subtraction rule: logb(x) - logb(y) = logb(x/y)
Step 1: Apply the power rule.
(1/2 * log2(7)) - (2 * log2(3)) = log2(7^(1/2)) - log2(3^2)
Step 2: Simplify the exponents.
log2(√7) - log2(9)
Step 3: Apply the subtraction rule.
log2((√7)/9)


Therefore, The combined expression using the laws of logarithms is:
log2((√7)/9)

To know more about expression visit :

https://brainly.com/question/1859113

#SPJ11

Answer:

Step-by-step explanation:

b is the independent variable.

m is dependent on b.

If 100 boxes are sold, the money collected is 30·100 = $3,000.

They collected $1530.

$1530 × (1 box)/($30) = 51 boxes sold

Answer:

OPTION A is correct

39 ounces

Step-by-step explanation:

Given:

The amount of water in the pitcher= 32 ounces

The amount of lemon juice in the pitcher = 7.15 ounces

We were to calculate the most reasonable estimate for the amount of liquid in the pitcher

To do this we need to sum up the Amount of water and Amount of lemon juice in the pitcher because the water is a liquid as well as the lemon juice which is

32 ounces + 7.15 ounces

=39.15 ounces

Therefore, the Estimated amount of liquid in the pitcher is approximately 39 ounces

To find dx/dt, we differentiate x = 3t³ + 6t with respect to t:

dx/dt = d/dt (3t³ + 6t)

      = 9t² + 6

To find dy/dt, we differentiate y = 4t - 5t² with respect to t:

dy/dt = d/dt (4t - 5t²)

      = 4 - 10t

To find dy/dx, we divide dy/dt by dx/dt:

dy/dx = (dy/dt) / (dx/dt)

      = (4 - 10t) / (9t² + 6)

To find dx/dy, we divide dx/dt by dy/dt:

dx/dy = (dx/dt) / (dy/dt)

      = (9t² + 6) / (4 - 10t)

To find the domain of the rational function f(t) = (9t² + 6) / (4 - 10t), we need to determine the values of t for which the denominator is not equal to zero, since division by zero is undefined.

Setting the denominator equal to zero and solving for t:

4 - 10t = 0

10t = 4

t = 4/10

t = 2/5

Therefore, the function f(t) is undefined when t = 2/5.

The domain of the function f(t) is all real numbers except for t = 2/5. In interval notation, the domain is (-∞, 2/5) ∪ (2/5, +∞).

learn more about rational function here:

https://brainly.com/question/8177326

#SPJ11

I believe it is A. The pre-image and image are conguent th

rough a translation, but I'm not sure

Answer:

0.32

Step-by-step explanation:

3/10=0.3

2/5=0.4

0.32 is between these two numbers.

Hope this Helps

Answer:

12x +54

Step-by-step explanation:

3x + 9(X+6) =

Distribute

3x+9x +54

12x +54

Answer:

\( 12x + 54\)

Step-by-step explanation:

\(3x + 9(x + 6) \\ 3x + 9x + 54 \\ = 12x + 54\)

Answer:

y-3x-2

Step-by-step explanation:

take 2 points (1,1), (3,7)

find the slope: 7-1/3-1=3

plug into y=2x+b (used pt (1,1) )

1=3(1)+b

1=3+b

b=-2

y=3x-2

Since the object is in free fall the acceleration of the object is approximately

The image position and image height for the concave mirror is equal to real , inverted mirror and 6.25 cm respectively.

Image position,

Use the mirror equation,

1/f = 1/o + 1/i

where f is the focal length of the mirror,

o is the object distance that is distance between the object and the mirror.

And i is the image distance that is distance between the image and the mirror.

Here,

Since it is a concave mirror.

f = -25 cm

Since the object is in front of the mirror

o = -15 cm .

Plugging these values into the equation, we get,

⇒ 1/-25 = 1/-15 + 1/i

Simplifying and solving for i, we get,

⇒ 1/i = ( 1/15 ) - (1/25 )

⇒ 1/i = ( 25 -15)/ 375

⇒1/i = 10 / 375

⇒ i = 37.5 cm

So the image is located 37.5 cm real and inverted mirror.

To calculate the image height, use the magnification equation,

m = -i/o

where m is the magnification which tells us whether the image is upright or inverted,

i is the image distance which we just found to be -37.5 cm,

And o is the object distance which is -15 cm

Plugging in the values, we get,

m = -(37.5)/(-15)

   = 2.5

Since the magnification is positive, the image is upright.

Image height, use the formula,

h_i = m × h_o

where h_i is the image height

and h_o is the object height.

The object height is given as 2.5 cm.

Plugging in the values, we get,

h_i = (2.5) × (2.5 cm)

     = 6.25 cm

Therefore , the image position is and the image height is equal to real , inverted mirror and 6.25 cm respectively.

Learn more about image height here

brainly.com/question/31412941

#SPJ4

To meet the goal, the company should adjust the mean and/or standard deviation so that the probability of cans having a volume less than 355ml is less than 2.5%.

A probability is a numerical representation of the likelihood or chance that a specific event will take place.

We can use the z-score formula to find the probability of cans having a volume less than 355 ml.

z-score = (355 - 358.2) / 1.8 = -1.78

Probability of cans having a volume less than 355ml = P(z < -1.78) = 0.0372

The company is not meeting its goal since the probability of cans having a volume less than 355ml is 0.0372 which is greater than 2.5%.

To know more about probability here

https://brainly.com/question/30034780

#SPJ4

Answer:

1,600 dollars

Step-by-step explanation:

The easiest way to solve it is to find the dollar for 1 percent.

Since 480 accounts for 30% of the whole thing, we can do 480 divided by 30 to get 16 as 1 percent. This means that 16 times 100 percent would give us the total money spent, giving us 1,600 as our answer.

In this scenario, the shape of the sampling distribution of X-bar is approximately normal.

The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.

For more information on uniform distribution visit: brainly.com/question/15301850

#SPJ11

Answer:

13500

Step-by-step explanation:

4,500 miles per 10 mintues and you need to find it for half an hour so

4500x3=13500

Answer:

Two solutions: -0.12 and 1.75.

Step-by-step explanation:

The quadratic formula is:

\(\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}\). Assuming that the x² term is a, the x term is b, and the constant is c, we can plug the values into the equation.

\(\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {8^2 - 4\cdot-4.9\cdot1} }}{{2\cdot-4.9}}} \end{array}\)

\(\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {64 + 19.6} }}{{-9.8}}} \end{array}\)

\(\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {83.6} }}{{-9.8}}} \end{array}\)

\(\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {9.14} }}{{-9.8}}} \end{array}\)

\(\frac{-8 + 9.14}{-9.8} = -0.12\)

\(\frac{-8-9.14}{-9.8} =1.75\)

Hope this helped!

EXPLANATION

Replacing the given functions into the following:

Removing the parentheses and simplifying:

Simplifying like terms:

Hence,

Answer:

Hello your answer should be: Bella saved more per chore than Sweet T.

Step-by-step explanation:

Hope this helped! :)

Have a great rest of your day!

Answer:

(3, 2 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

here (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (4, 1 ) , then

midpoint = ( \(\frac{2+4}{2}\) , \(\frac{3+1}{2}\) ) = ( \(\frac{6}{2}\) , \(\frac{4}{2}\) ) = (3, 2 )

Answer:

\(3\frac{1}{3}\)

Step-by-step explanation:

Dividing fractions is like multiplying the reciprocal of the second number

For example: \(\frac{36}{3}\) divided by \(\frac{24}{6}\)

Multiply the reciprocal, which is 6/24

\(\frac{36}{3} * \frac{6}{24} ,\) Find divisible diagonal factors. Divide by 3 diagonally and divide by 12 diagonally

\(\frac{3}{1} * \frac{2}{2} = 3\)

You can check by making 36/3 to 12 and 24/6 to 4.

12/4 = 3

In the same way:

\(\frac{4}{3} /\frac{2}{5} = \frac{4}{3} * \frac{5}{2} =\)

Divide by 2 diagonally

\(\frac{2}{3} * \frac{5}{1} =\frac{10}{3} = 3\frac{1}{3}\)

The answer is \(3\frac{1}{3}\)

Hope this helps :)

Have a nice day!

The population in order to calculate the mean height will be all the students attending the college.

The population is the entire group of individuals being studied. In this case, the population is all the students who goes to the college.

Every member of a group constitutes a population. It is the inverse of a sample, which is a percentage or proportion of a group. It is sometimes possible to poll every member of a group. The U.S. Census is a quintessential example of a population, as it is required by law that every member of the U.S. population reply. In most circumstances, surveying everyone is unfeasible in statistics.

Consider how long it would take you to phone every dog owner in the United States to find out what brand of dog food they preferred. Furthermore, people may choose not to respond or may forget to respond, resulting in incomplete censuses. By definition, incomplete censuses become samples.

To learn more about population

brainly.com/question/27991860

#SPJ4

Considering the equation of an ellipse, it is found that the height of the tunnel 10 feet from the edge is of 14 feet.

The following is the equation for a horizontal ellipse of center with coordinates (h,k):

(x - h)²/a² + (y - k)²/b² = 1.

In relation to this issue, we have that:

The origin is where the center is.

Since the major axis is 70, 2a = 70 and a = 35.

The maximum height is 20, therefore b is equal to 20.

As a result, the ellipse's equation is as follows:

x²/35² + y²/20² = 1.

It is determined that x = 25 when the tunnel is 10 feet from the edge since 35 – 10 = 25; therefore, the height y is calculated as follows:

25²/35² + y²/20² = 1

0.51 + y²/20² = 1

y²/20² = 0.49

y² = 20² x 0.49

y =√(20² x 0.49)

y = 14 feet.

More can be learned about the equation of an ellipse at brainly.com/question/16904744

#SPJ4

Answer:

56%

Step-by-step explanation:

25/45=0.5555555555... rounded to 56%

Answer:

x = 6\(\sqrt{5}\)

Step-by-step explanation:

Here we need to use the Pythagorean Theorem

Pythagorean Theorem: a^2 + b^2 = c^2

STEP 1: Define your variables

The legs of the triangle are a and b, and the hypotenuse is c.

a = x

b = 4

c = 14

STEP 2: Plug your variables into the equation and solve

x^2 + 4^2 = 14^2

x^2 + 16 = 196

x^2 + 16 - 16 = 196 - 16

x^2 = 180

\(\sqrt{x^2}\) = \(\sqrt{180}\)

STEP 3: Simplify

Since the question asks you to put the equation in simplified radical form, you do not have to approximate the answer, but you do have to simplify the radical.

\(\sqrt{x^2}\) = \(\sqrt{180}\)

x = \(\sqrt{36}\) * \(\sqrt{5}\)

x = 6\(\sqrt{5}\)

Reason:

We have this stem-and-leaf plot

\(\begin{array}{r|l}\text{stem} & \text{leaf}\\\cline{1-2}5 \ & \ 0 \ 4\\6 \ & \ 5 \ 7 \ 8\\7 \ & \ 5 \ 8\\8 \ & \ 2 \ 4 \ 5 \ 5 \ 5 \ 6 \ 7 \ 8 \ 9\\9 \ & \ 0 \ 0 \ 0 \ 0 \ 4 \ 6 \ 7 \ 9\\\end{array}\)

where something like \(5 \big| 0\) represents the number 50.

The most frequent leaf is "0" in the very bottom row. It shows up four times, which is the most of any of the other leaf.

This leaf ties to the stem of 9.

stem = 9 & leaf = 0 leads to the data value 90.

Therefore, the mode is 90