3n -4 =11 i need to show solving steps

Using the normal distribution:

(a) 309 minutes after the doors open

(b) 172 minutes after the doors open.

In a normal distribution with mean μ and standard deviation σ, the z-score of a measure X is given by:

Z = ( X - μ ) / σ

It counts the number of standard deviations the value deviates from the mean.

We look at the z-score table after determining the z-score to determine the p-value, which is the percentile of X.

Now, we have

Mean of 3 hours and 48 minutes, therefore:

μ = 3(60) + 48 = 228 minutes

The standard deviation, σ = 52 minutes

(a) The doors open with 94% of the people who come to the Saturday show.

We look 94%, or 0.94, up in the cells of a z table.  The closest we can get to this value is 0.9406, which corresponds to a z score of 1.56:

Z = ( X - μ ) / σ

1.56 = ( X - 228 ) / 52

1.56 × 52 = X - 228

81.12 = X - 228

X = 309.12

X = 309 minutes

(b) We look 14%, or 0.14, up in the cells of a z table.  The closest we can get to this value is 0.1401, which corresponds to a z score of - 1.08:

- 1.08 = ( X - 228 )/ 52

- 1.08 × 52 = X - 228

- 56.16 = X - 228

X = 228 - 56.16

X = 171.84

X = 172 minutes

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The probability that the population mean is less than 11lbs is 0

From the question, the given parameters about the distribution are

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (11 - 1428)/119

Evaluate the quotient

z = -11.91

The required probability of population mean is represented as

P(x < 11) = P(z <  -11.91)

From the z table of probabilities, we have;

P(x < 11) = 0

Hence, the probability value is 0

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Answer:

k = 157.32

Step-by-step explanation:

Given:

[tex]\frac{k}{22.8} =6.9\\[/tex]

Solve for k:

multiply both sides of the equation by 22.8

[tex]\frac{22.8*k}{22.8} = 22.8*6.9[/tex]

because 22.8/22.8 = 1 we have

k= 22.8 ·6.9

calculate the product

k = 157.32

The equation of the line is x-y=0

What is point of intersection?

A point of intersection is a point where two lines intersect.

We are given the two equations as x-y=0 and x+y=0

The point of intersection can be given by finding the coordinates of which will satisfy both the equation

Now the equation can be solved by

The point of intersection is (0,0)

We have to find the equation of the line passing through the point (0,0),(2,2)

This can be done by

[tex]\frac{y-0}{0-2}=\frac{x-0}{0-2}[/tex]

[tex]\frac{-y}{2}=\frac{-x}{2}[/tex]

[tex]x-y=0[/tex]

Hence the equation of the line passing through the point of intersection of x-y=0 and x+ y=0 and (2,2) The equation of the line is x-y=0

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The Solution:

Required:

To give example of a scatter plot with 6 points and has a correlation of r = -1.

Below is the scatter plot:

Answer: It would be $5.00

I hope you have a nice day!

Answer: a = 35

Step-by-step explanation: The answer would be 35 because we already know one of the angles is 55 degrees and the other would be 90 degrees because the little square gives it away. Now, all you need to do is add 55 and 90 which would give you 145. Since the line is 180 degrees you would have to subtract 145 from 180 which would give you 35.

[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 9 - 4}{30 - 0} \\ m= \frac{ - 13}{30} \\ m = - \frac{13}{30} [/tex]

I ALSO PROVIDED YOU THE FORMULA TO USE WHEN FINDING THE GRADIENT/SLOPE FOR FUTURE USE.

GOODLUCK.

Answer is 36

The 8th term of this sequence is 36.

solution:

 A series of numbers known as a arithmetic sequence has a constant difference numbers such that the difference between the consecutive terms is constant.

The formula for nth term of an arithmetic sequence is = a + (n – 1)d

        ie an= 5n-4

n= number of terms

To find  8th term : 5(n)-4

                            : 5(8)-4 = 36

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Answer: b

Step-by-step explanation: because if u see the numbers and they match

The algebraic representation of the given figure is y = y₁ + 14, for B (x, y) and C (x ,y₁)

A module for an associative algebra is that algebraic representation in abstract algebra. In this case, an associative algebra is a ring, which need not be unitary.

If the algebra is not unitary, it can be made to be so using a standard method (see the adjoint functors page); there is no fundamental difference between the algebraic representations and the modules for the resulting unitary ring, in which the identity acts through the identity mapping.

Point A in both triangles are same

For Point B(-2,8) and Point C(-2, -6)

we can see Point B y = Point C y+14

So the algebraic representation is Point B(x, y) =  Point C (x ,y+14)

As x is same we get

y = y₁ + 14

Where y is point B y and y₁ is point C y,

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A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77. How much was the tip in dollars? Round your answer to the nearest hundredth (second) decimal place. Do not include units ($) in your answer

Subtract the bill from the total

so

49.77-42=$7.77

therefore

Answer:

b = 118

c = 62

Step-by-step explanation:

Find the missing angles

Angle b and 118 are vertical angles and vertical angles are equal

b = 118

Angle c and 118 form a straight line which add to 180

c+118 = 180

c = 180-118

c = 62

c and 118 degrees should add up to 180 degrees:

180 - 118 = 62 degrees for c

b and the unknown angle should also add up to 180 and from the line intersections are the same as c and 118.

b = 118

c = 62

Irrational numbers are real numbers that can't be expressed as a fraction, p/q, where p and q are integers.

Thus, √13 is irrational number.

Thus, 4 1/3 and 8 are rational number.

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The simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²

An expression is a combination of variable, numbers and operators.

The given expression is

(5×10⁻²)(2.3×10¹²)

Use the distributive property

(5×2.3)(10⁻²×10¹²)

The powers with same base will be added

11.5×10⁻²⁺¹²

11.5×10¹⁰

23) (3.9×10³)(4.2×10⁻¹¹)

(3.9×4.2)(10³×10⁻¹¹)

The powers with same base will be added

16.385×10⁻⁸

25) 3.12×10³/1.56×10⁻³

The sign of power of denominator changes to opposite sign when it shifted to numerator.

4.8672×10³⁺³

4.8672×10⁶

(28) 1.82×10⁵/9.1×10⁷

0.2×10⁵⁻⁷

The sign of power of denominator changes to opposite sign when it shifted to numerator.

0.2×10⁻²

Hence the simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²

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First we have to calculate 20% of 240

Let's multiply 240 by 20/100, therefore the result is 48

Then we subtract 48 from 240, the result is 192

The answer is $192.

let the first orange x

second orange 3x

x+3x+14+9=143

4x+23=143

4x=143_23

4x/4=120/4

x=30

check

30+90+14+9=143

Check the picture below.

since the triangle is equilateral, is also equiangular.

[tex]a\sqrt{3}=\sqrt{6}\implies a=\cfrac{\sqrt{6}}{\sqrt{3}}\implies a=\cfrac{\sqrt{2\cdot 3}}{\sqrt{3}}\implies a=\cfrac{\sqrt{2}\sqrt{3}}{\sqrt{3}}\implies a=\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ 2a=x\implies {\Large \begin{array}{llll} 2\sqrt{3}=x \end{array}}[/tex]

The numbers in which is "the sum of three numbers is 16 are 4.6875, 1.21875 and 10.09375 respectively.

Let

c = 5b + 4

4a = 8b + 9

From the second equation

a = (8b + 9) / 4

16 = a + b + c

16 = (8b + 9) / 4 + b + (5b + 4)

16 = (8b + 9) / 4 + b + 5b + 4

16 = (8b + 9)/4 + 6b + 4

16 - 4 = (8b + 9)/4 + 6b

12 = (8b + 9 + 24b) / 4

12 × 4 = 8b + 9 + 24b

48 = 32b + 9

48 - 9 = 32b

39 = 32b

b = 39/32

b = 1.21875

Recall,

c = 5b + 4

c = 5(1.21875) + 4

c = 6.09375 + 4

c = 10.09375

Also,

16 = a + b + c

16 = a + 1.21875+ 10.09375

16 = a + 11.3125

16 - 11.3125 = a

a = 4.6875

So therefore, the three numbers represented by the expression are 4.6875, 1.21875 and 10.09375 respectively.

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It is false that a graph is proportional if it has a straight line that goes through the origin.

Given a statement that a  graph is proportional if it has a straight line that goes through the origin.

We are required to find whether the statement is true or false.

A proportional relationship graph between two variables is basically a relationship where the ratio between the two variables is always the same.

The statement that a graph is proportional if it has a straight line that goes through the origin because there can be many graphs which can pass through origin. For proportionality along with passing through origin, a constant rate should also be there.

Hence it is false that a graph is proportional if it has a straight line that goes through the origin.

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-48.95820 is the result of the products of the decimal numbers (-2.655) and (18.44).

Given the data in the question;

(-2.655) multiply by  (18.44)

First, we determine the total decimal places in the numbers.

We have 5.

Next, we ignore the decimal places and carry out the multiplication operation as if operating on two integers.

                                - 2 6 5 5

                ×                 1 8 4 4

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                +              1 0 6 2 0

                +           1 0 6 2 0

                +        2 1 2 4 0

                +       2 6 5 5

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

               =      - 4 8 9 5 8 2 0

Now, rewrite the result of the product with the 5 total decimal places.

= -48.95820

Therefore, the result of the multiplication operation is -48.95820.

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To get average speed you take:

Total distance / total time = average speed

As we can see, the total distance that the motorist travelled was:

And, the total time taken is:

Then, his average speed is:

Answer:Eureka Math Grade 6 Module 2 Lesson 1 Answer Key

March 31, 2021 / By Prasanna

Engage NY Eureka Math 6th Grade Module 2 Lesson 1 Answer Key

Eureka Math Grade 6 Module 2 Lesson 1 Example Answer Key

Example 1.

34 gallon of batter is poured equally into 2 bowls. How many gallons of batter are in each bowl?

Answer:

→ Since the whole is being put into 2 equal parts or bowls, this is the partitive model of division. What division expression can we write to match this story?

→ 34 ÷ 2

→ We can also think of this problem as asking, “3 fourths is 2 groups of what?” Let’s take a look at how to solve this using an area model. What is the whole? How much batter is being shared?

→ Three-fourths gallon

→ The story tells us that the batter is poured equally into 2 bowls. How can we show this in the model?

→ We can draw another line, horizontally, to partition the model into 2 equal units.

→ Now our model shows 3 fourths being partitioned into 2 equal parts. Could we also say that our model shows 12 of 3 fourths?

→ Yes, it’s just like in the Opening Exercise where dividing by 2 and multiplying by are the same.

→ Let’s label our model to show that. What is half of 3 fourths?

Half of 3 fourths is 3 eighths.

→ Yes, and what is 3 fourths divided by 2?

→ It’s also 3 eighths!

→ We said that we could also think of this problem as, “3 fourths is 2 groups of what?” Is it true that 3 fourths is 2 groups of 3 eighths? Use a repeated addition or multiplication sentence to support your response.

→ Yes, it’s true. 3 eighths plus 3 eighths is 6 eighths, which is equal to 3 fourths. →. It’s true.

2 × 38=68=34.

Eureka Math Grade 6 Module 2 Lesson 1 Example Answer Key 2

34 ÷ 2 = 12 of 34 = 38

38 gallon of batter in each bowl.

Step-by-step explanation:

The most appropriate choice for expansion will be given by -

9 is needed to complete the square.

What is expansion?

Expansion is used when there is a product of factors in an algebraic expression and multiplication of algebraic expansion is needed by removing the brackets. Two most important formulas in expansion are

[tex](a+b)^2 = a^2+2ab+b^2\\(a-b)^2 = a^2-2ab + b^2[/tex]

Here,

[tex]x^2 - 6x +\\x^2 - 2\times x \times 3+[/tex]

To complete the square, [tex]3^2 = 9[/tex] is needed

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Check the picture below.

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

well, keeping all that in mind, the equation is already in standard form.

ok the answer is 3

as both are negative so they will get cancel out

so the answer is 3 only.

The equation of the line that runs between the points (2, 15) and (-4, -21) is y = 6x + 3.

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