Solve each equation.
2) 240 = 15n

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

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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.

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Answer:

1

Step-by-step explanation:

1. Plug the points into the slope formula:

[tex]\frac{\frac{7}{8} - \frac{3}{8}}{6 - 4}[/tex]

2. Simplify.

[tex]\frac{4}{8}[/tex] ÷ [tex]\frac{2}{1}[/tex] = 1

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.

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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:

A is the answers for the question

Step-by-step explanation:

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[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]

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:

The length of BD is 65 units.

Step-by-step explanation:

ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.

Formula of the Pythagorus Theorem : 

⇒ a² + b² = c²

⇒ AD² + CD² = AC²

The value of AD is 54 and the value of AC is 90:

54² + CD² = 90²

Solve for CD:

54² + CD² = 90²

CD² = 90² - 54²

CD² = 5184

CD = √5184

CD = 72

ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.

Formula of the Pythagorus Theorem : 

⇒ a² + b² = c²

⇒ BD² + CD² = BC²

The value of CD is 72 and the value of BC is 97:

BD² + 72² = 97²

Solve for BD:

BD² = 97² - 72²

BD² = 4225

BD = √4225

BD = 65

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

Step-by-step explanation:

(a) ∫₋ₒₒ°° f(x) dx

We can split this into three integrals:

= ∫₋ₒₒ⁻¹ f(x) dx + ∫₋₁¹ f(x) dx + ∫₁°° f(x) dx

Since the function is even (symmetrical about the y-axis), we can further simplify this as:

= ∫₋₁¹ f(x) dx + 2 ∫₁°° f(x) dx

The first integral is finite, so it converges.

For the second integral, we can use comparison test.

g(x) = e^(-½ x) is greater than f(x) = e^(-½ x²) for all x greater than 1.

We can show that g(x) converges:

∫₁°° e^(-½ x) dx = -2 e^(-½ x) |₁°° = -2 e^(-∞) − -2 e^(-½) = 0 + 2e^(-½).

Therefore, the smaller function f(x) also converges.

(b) The width of the intervals is:

Δx = (3 − -3) / 6 = 1

Evaluating the function at the beginning and end of each interval:

f(-3) = e^(-9/2)

f(-2) = e^(-2)

f(-1) = e^(-1/2)

f(0) = 1

f(1) = e^(-1/2)

f(2) = e^(-2)

f(3) = e^(-9/2)

Apply Simpson's rule:

S = Δx/3 [f(-3) + 4f(-2) + 2f(-1) + 4f(0) + 2f(1) + 4f(2) + f(3)]

S ≈ 2.5103

Answer:

Step-by-step explanation:

1. -432X

2.46.6X

3.KX = 17-5

=KX=12

4. X=9+2C+K

= X=11CK

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! ^‿^

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:

(xy+3z) 2 (The two is small just saying)

Step-by-step explanation:

Step 1:

(((x2) • (y2)) +  6xyz) +  32z2

Step 2:

2.1    Factoring    x2y2 + 6xyz + 9z2

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (xy + 3z)•(xy + 3z)

Step 3:

2.2    x2y2  +6xyz  +9z2  is a perfect square

It factors into  (xy+3z)•(xy+3z)

which is another way of writing  (xy+3z)2

Answer:

Step-by-step explanation:

1) Parallelogram ABCD, [tex]\overline{DE} \perp \overline{AB}, \overline{BF} \perp \overline{DC}[/tex] (given)

2) [tex]\angle DAE \cong \angle FCB[/tex] (opposite angles of a parallelogram are congruent)

3) [tex]\angle AED[/tex] and [tex]\angle BFC[/tex] are right angles (perpendicular lines form right angles)

4) [tex]\angle AED \cong \angle BFC[/tex] (all right angles are congruent)

5) [tex]\overline{AD} \cong \overline{BC}[/tex] (opposite sides of a parallelogram are congruent)

6) [tex]\triangle AED \cong \triangle CFB[/tex] (AAS)

7) [tex]\overline{DE} \cong \overline{BF}[/tex] (CPCTC)

Answer:

1. 20% increase

2. 40% decrease

3. 50% increase

4. 75% decrease

5. 54.5% decrease

6. 150% increase

Step-by-step explanation:

Hope this helps!!

So 2 is the GCF for the coefficient. The variables are m4 and m5 . 4 is the greatest shared power, and so the GCF for that is m4

brainliest please if correct

Answer:

The answer is -10.

Step-by-step explanation:

Answer:

Ix-1/12I=5/12

Step-by-step explanation:

Do ur rsm

Let's factor out

[tex]\\ \rm\Rrightarrow 64m^2-9n^2[/tex]

[tex]\\ \rm\Rrightarrow (8m)^2-(3n)^2[/tex]

Use the identity

[tex]\\ \rm\Rrightarrow (8m-3n)(8m+3n)[/tex]

Done

Answer:

162 units^2

Explanation:

Separate the polygon into a rectangle and triangle, and then use the equations of area for those shapes to find the area.

Answer:

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

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:

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:

easy peasyyyyy.

1 17/24

Step-by-step explanation:

Answer:

1 17/24

Step-by-step explanation:

we have to make both denominators of the fractions the same. in order to do this you have to basically increase the fraction and make it 20/24. Do the same thing to 7/8 and get 21/24. Now we can add them together 20/24 + 21/24 = 41/24 = 1 17/24

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