the table shows a relation between x and y.

is the relation a function, and why?

Using the normal distribution, it is found that there is a 0.0228 = 2.28% probability that a diode selected at random would have a length less than 20.01mm.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, we have that:

The probability that a diode selected at random would have a length less than 20.01mm is the p-value of Z when X = 20.01, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20.01 - 20.05}{0.02}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.0228 = 2.28% probability that a diode selected at random would have a length less than 20.01mm.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

A)Percentile for Lynette, the student who is 65 in. tall is 36th

B) Asher is 22 inches tall.

Step-by-step explanation:

Percentile : It is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls

A) Find the Percentile for Lynette, the student who is 65 in. tall.

No. of students below 65 inch =9

So, Percentage of data below 65 inch =[tex]\frac{9}{25} \times 100 = 36 \%[/tex]

So, Percentile for Lynette, the student who is 65 in. tall is 36th

B)Ashers height is at the 88th percentile of the distribution. Interpret this value in context. How tall is Asher

[tex]88=\frac{x}{25} \times 100 \\\frac{2200}{100}=x[/tex]

22=x

So, No. of students below or st 88th percentile = 22

So, Asher is 22 inches tall.

Answer:

10 of the students in the class are boys

Answer:

16 cm

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Substitute given information into the formula:

96= ½ ×base ×12

Simplify:

96= 6 ×base

Divide both sides by 6:

base= 96 ÷6

base= 16 cm

Answer:

[tex] \\ [/tex]

Step-by-step explanation:

It is given that, the height of a triangle is 12cm, and its area is 96cm² and we have to find the base of triangle.

[tex] \\ [/tex]

To find the base of the triangle, we have to know this formula :

[tex] \\ {\longrightarrow \pmb{\frak {\qquad \frac{1}{2} \times Base \times Height = Area_{(Triangle)} \:}}} \\ \\[/tex]

Now, substituting the values in the formula :

[tex]{\longrightarrow \pmb{\sf {\qquad \frac{1}{2} \times Base \times 12 = 96 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad \frac{1}{ \cancel2} \times Base \times \cancel{12 } = 96 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad {1} \times Base \times 6 = 96 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad Base \times 6 = 96 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad Base = \frac{96}{6} \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Base = 16\:}}} \\ \\[/tex]

Therefore,

Answer:

y=mx-22

Step-by-step explanation:

Take standard line equation y=mx+c and substitute the given values of m=4, x=6, y=2 to find out the value of c

Answer:

A is the answers for the question

Step-by-step explanation:

please mark me as brainlest

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

[tex]\longrightarrow[/tex]Given is a quadratic equation which can be solved by splitting the middle term.

[tex]\leadsto[/tex]For this we have to look at factors of the constant term . Since here constant term term is- 6 so splitted middle term should have product equal to -6

[tex]\begin{gathered}\\\implies\quad \sf x^2-x-6=0 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf x^2-3x+2x-6=0 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf x(x-3)+2(x-3)=0 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf (x-3)(x+2) =0 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf (x-3) =0 \quad or \quad (x+2) =0\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf x=3 \quad or \quad x= -2\\\\\end{gathered} [/tex]

[tex]\quad\therefore\: \sf x \:is \: \:3 \:or -2 [/tex]

g+3f+f+g+g

g+g+g+3f+f

g(1+1+1)+f(3+1)

g(3)+f(4)

3g+4f

Answer:

2.81 as a mixed number is  2 81/100

Step-by-step explanation:

Answer:

f^-1(x) = (x+10) / 2

Step-by-step explanation:

sooo

f(x) = 2x - 10

y = 2x - 10

x = 2y - 10

x + 10 = 2y

y = (x + 10) / 2

f^-1(x) = (x+10) / 2

Answer:

[tex]f^{-1}(x)=\frac{x+10}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10\\\\y=2x-10\\\\x=2y-10\\\\x+10=2y\\\\\frac{x+10}{2}=y\\ \\f^{-1}(x)=\frac{x+10}{2}[/tex]

As the two functions are inverses of each other, they will be symmetrical about the line [tex]y=x[/tex].

The general equation of a straight line in slope-intercept form is given as:

y = mx + c

The slope-intercept form of 6x - 10y = 20 is y = (3/5)x - 2.

The equation of a line is a form of representing the set of points, which form a line in a coordinate system. 

The general equation of a straight line is given as:

y = mx + c,

where m = slope of the line and c = y-intercept.

We have,

6x - 10y = 20 _____(1)

The slope intercept form is  y= mx + c

So,

Subtract -6x on both sides.

6x - 10y - 6x = 20 - 6x

-10y = 20 - 6x

Divide both sides by -10.

y = 20/-10 + 6x/10

y = -2 + 3x/5

y = (3/5)x - 2

Thus,

The slope-intercept form of 6x - 10y = 20 is y = (3/5)x - 2.

Learn more about equation of a line here:

https://brainly.com/question/14200719

#SPJ2

Answer:

The answer would be 48

Sydney is 48

Devaughn is 62

48 + 62 = 110

Okays so you start by doing the equation 110 - 14 = 96

then dividing 96 by 2 (96 ÷ 2) which is 48

add 14 to 48 and you will get 62. We can automatically assume that sydney is 48 because when you add 48 to 62, you will get 110. I hope that this helps! ^‿^

r=a−qb is the correct answer-

r=0

Step-by-step explanation:

r is not in the equation

Answer:

complementry and ajaecent

Step-by-step explanation:

complementry because they add up to 90 and ajecent cause they are next to each other

Answer:

the answer is 9

Step-by-step explanation:

Answer:

Slope = -2

Step-by-step explanation:

Answer: The slope is -2

Step-by-step explanation:  Find the difference in y-values divided by the difference in x-values

15 -(-5) = 20

-7 - 3 = -10

20/-10 = -2

Answer:

The answer is -10.

Step-by-step explanation:

Answer:

1.89

Step-by-step explanation:

The center al limit theorem for means states that the standard deviation of the normal distribution of sample means is equal to the original distribution’s standard deviation divided by the square root of the sample size. the original standard deviation is 14 and the sample size is 55.

Answer:

Ix-1/12I=5/12

Step-by-step explanation:

Do ur rsm

Answer:

71.54km/hr

Step-by-step explanation:

Answer: 0 or 1.75

Step-by-step explanation:

Answer:

x=1.75

Step-by-step explanation:

First add 5 to each side then you would have 4x+7=8x then subtract 4x from each side and you'll get 7=4x the divide each side by four and you'll get 1.75=x

Answer:

A function is a relation in which each input has only one output.

Step-by-step explanation:

In the relation Y is a function of X because for each input x(1,2,3 or 0) there is only one output y.

The relation that is a function is the relation (d)

From the question, we have the following parameters that can be used in our computation:

The relations (1) to (4) represent the given parameter (see attachment)

Next, we test the options

Relation (a)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (b)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (c)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (d)

This relation is a function

This is because the inputs all point to different output values

Hence, the option (d) is a relation

Read more about functions at

brainly.com/question/22340031

#SPJ6

Answer:

Step-by-step explanation:

1. -432X

2.46.6X

3.KX = 17-5

=KX=12

4. X=9+2C+K

= X=11CK

Answer:

1

Step-by-step explanation:

Answer:

3X + 6 = 3

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

to find the slope use the equation y2 - y1/ x2 - x1

sooo

0 - 5/1 - 3

-5 / -2

5/2

Answer:

23y

Step-by-step explanation:

this my answer hope it's help

make me brainless pls

Answer:

The expression which represents the total number of miles he jogs in a week is 7 m ⇒ A

Step-by-step explanation:

Let us solve the question

∵ Dominic goes jogging every morning

∵ m represents the number of miles he jogs each day

→ That means he jogs m miles every day

∵ There are 7 days in a week

→ That means he jogs m miles every day for 7 days

∵ m + m + m + m + m + m + m = 7 × m

∴ He jogs in 1 week 7 × m miles

∴ He jogs 7 m miles in a week

The expression which represents the total number of miles he jogs in a week is 7 m

Answer:

A. 7m

Step-by-step explanation:

Since the answer above was really long

========================================================

The card says we need 1 & 1/2 cups of flour

Let's convert this to decimal form

1 & 1/2 = 1 + 1/2

1 & 1/2 = 1 + 0.5

1 & 1/2 = 1.5

The mixed number 1 & 1/2 is equivalent to the decimal number 1.5

Now multiply this by 3. This is because the recipe originally serves 10 people, but we want to serve 3 times as many people (3*10 = 30 total).

So,  3*1.5 = 4.5

Now convert back to a mixed number

4.5 = 4 + 0.5

4.5 = 4 + 1/2

4.5 = 4 & 1/2

We'll need 4 & 1/2 cups of flour.

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

Here's another way to approach the problem

Multiply 3 by 1 & 1/2 to get

3*(1 & 1/2) = 3*(1 + 1/2)

3*(1 & 1/2) = 3*1 + 3*1/2

3*(1 & 1/2) = 3 + 3/2

3*(1 & 1/2) = 3 + (2+1)/2

3*(1 & 1/2) = 3 + 2/2 + 1/2

3*(1 & 1/2) = 3+1 + 1/2

3*(1 & 1/2) = 4 + 1/2

3*(1 & 1/2) = 4 & 1/2

Answer:

No, I believe the circle should be filled in if it's greater than or equal to