Given:
P: 3x + 7 = -5
Q: 4x + 12 = -4

Answer:

70,110,110,110

Step-by-step explanation:

I'm Asian and I was less than 5 minutes

Answer:

2,870 and 30

Step-by-step explanation:

Complete Question

Suppose the weight of Chipotle burritos follows a normal distribution with mean of 450 grams, and variance of 100 grams2 . Define a random variable to be the weight of a randomly chosen burrito.

(a) What is the probability that a Chipotle burrito weighs less than 445 grams? (3 points)

(b) 20% of Chipotle burritos weigh more than what weight

Answer:

a

   \(P(X < 445 )= 0.3085\)

b

  \(k = 458.42\)

Step-by-step explanation:

From question we are told that

     The population mean is \(\mu = 450 \ g\)

      The variance is \(var = 100 \ g^2\)

      The  consider weight is  \(x = 445 \ g\)

The  standard deviation is mathematically represented as

     \(\sigma = \sqrt{var}\)

substituting values

     \(\sigma = \sqrt{ 100}\)

     \(\sigma = 10\)

Given that weight of Chipotle burritos follows a normal distribution the  the probability that a Chipotle burrito weighs less than x grams is mathematically represented as

        \(P(X < x ) = P ( \frac{X - \mu }{\sigma } < \frac{x - \mu }{\sigma } )\)

Where  \(\frac{X - \mu }{\sigma }\) is  equal to z (the standardized values of the random number X )

So

     \(P(X < x ) = P (Z < \frac{x - \mu }{\sigma } )\)

substituting values

     \(P(X < 445 ) = P (Z < \frac{445 - 450 }{10} )\)

      \(P(X < 445 ) = P (Z <-0.5 )\)

Now from the normal distribution table  the value for \(P (Z <-0.5 )\)  is  

      \(P(X < 445 ) = P (Z <-0.5 ) = 0.3085\)

=>   \(P(X < 445 )= 0.3085\)

Let the  probability  of the Chipotle burritos weighting more that k be 20% so  

       \(P(X > k ) = P ( \frac{X - \mu }{\sigma } > \frac{k - \mu }{\sigma } ) = 0.2\)

=>    \(P (Z> \frac{k - \mu }{\sigma } ) = 0.2\)

=>    \(P (Z> \frac{k - 450}{10 } ) = 0.2\)

From the normal distribution table the value of z  for  \(P (Z> \frac{k - \mu }{\sigma } ) = 0.2\) is  

    \(z = 0.8416\)

=>   \(\frac{k - 450}{10 } = 0.8416\)

=>   \(k = 458.42\)

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

Read more about Slope at: https://brainly.com/question/3493733

#SPJ1

Answer:

6x^5-5x^4+6x^3-x^2+12x-31

Step-by-step explanation:

(−5x^4+6x^3−43)+(6x^5−x^2+12x+12)

To add, combine like terms

6x^5-5x^4+6x^3-x^2+12x-43+12

6x^5-5x^4+6x^3-x^2+12x-31

Standard form means from the highest power of x to the lowest power of x

Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

Answer:

-2x² - 10xy + 2y²

Step-by-step explanation:

4x² - 9xy - 4y² - 6x² - xy + 6y² =

= 4x² - 6x² - 9xy - xy - 4y² + 6y²

= -2x² - 10xy + 2y²

The specified scale factor of the dilation from S to M is 3/2 therefore, the scale factor of the dilation transformation from M to S is 2/3

A dilation is a transformation in which the lengths of the sides of the image are increased or decreased in the proportion, specified by a scale factor to the dimensions of the pre-image.

The specified scale factor from triangle S to triangle M = 3/2

3/2 = 1.5

Therefore, the length of the sides of triangle M are 1.5 times the lengths of the sides of triangle S

Let L represent the length of a side of triangle S, we get;

The length of the corresponding side on triangle M = 1.5 × L

The scale factor from triangle M to triangle S is found by taking the ratio of the corresponding sides of triangle S and M as follows;

Scale factor, SF, from M to S  = Length of a side on triangle S ÷ Length of the corresponding side on triangle

Therefore;

\(SF = \dfrac{L}{1.5\cdot L} = \dfrac{1}{1.5}\)

1.5 = 3/2, therefore;

\(SF = \dfrac{1}{1.5} = \dfrac{1}{\frac{3}{2} } =\dfrac{2}{3}\)

Therefore, the scale factor from M to S is 2/3

Learn more about scale factor of a dilation here:

https://brainly.com/question/13005407

#SPJ1

Answer:

it is as expensive as the other states in the us

Step-by-step explanation:

I am not from delaware but i know this

Answer:

12

Step-by-step explanation:

Answer:

59,582π/375 (approximately 499.153) square centimeters

Step-by-step explanation:

Volume:

\( \frac{1}{3} \pi {(6.2)}^{2} (12.4)\)

\( \frac{1}{3} {( \frac{31}{5}) }^{2} ( \frac{62}{5} )\pi\)

\( \frac{59582\pi}{375} \)

Given

Height of man = 6ft

Shadow of man = 9ft

Shadsw of building = 322.5ft

Find

Height of building

Explanation

At a particular time in the day the proportion of the shadow of man will be equal to that of the building

So triangle ABC will be similar to PQR

Hence the ratio of their corresponding sides will be equal

Therefore,

PQ = 215ft

which is the required length

Final Answer

The height of the building is 215ft

Answer: Easy, hope this helps!

Nonequivalent

Step-by-step explanation:

1/24 = 1/24

3/8 = 9/24

1/24 and 9/24 is nonequivalent

Answer:

3.00

Step-by-step explanation:

6.0 / 1.5 = 4

0.75 * 4 = 3.00

The width of the garden with an area of 70 square feet is 10 feet

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

The area of a field the amount of space occupied by the field. The area is the product of its length and width. It is given by:

Area = length * width

Let w represent the width. The length is 3 feet longer, hence:

Length = w + 3

Area = length * width

Area = (w + 3)(w)

But the area is 70 ft², hence:

70 = (w + 3)(w)

w² + 3w = 70

w² + 3w - 70 = 0

w = 7 feet

Length = w + 3 = 7 + 3 = 10 feet

The width is 10 feet

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5

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

x(3x + 5)-5(2x - 1)

Open the brackets

So, we have

3x² + 5x - 10x + 5

Evaluate the like terms

So, we have

3x² - 5x + 5

Hence, the simplified expression is 3x² - 5x + 5

Read more about expression at

https://brainly.com/question/31819389

#SPJ1

Answer:

300

Step-by-step explanation:

120 ÷ 2/5 = 300

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

For more such questions on height, click on:

https://brainly.com/question/28122539

#SPJ8

Answer:

B

Step-by-step explanation:

20/50

Work for E and F- 20/50=20X2=40                40 divided by 100 is 40%

                                           50X2=100               and 40/100

Answer:

A, C, and D.

Step-by-step explanation:

-0.6

-60/100

-60%

1. 50-20=30

2. There are 30/50 slices left.

3. 30/50 = 60/100

4. 60/100 written as a decimal is 0.6.

Answer:

  B.  x = 1, y = 0, z = 3

Step-by-step explanation:

Systems of linear equations are readily solved by a suitable calculator or spreadsheet. The attached calculator display shows the solution to be ...

  x = 1, y = 0, z = 3

__

There are several ways a calculator can solve these equations. The method shown here is to input the equations as an augmented matrix of their coefficients, and reduce it to row-echelon form. The right-most column of the reduced matrix is the set of variable values in the same order as the coefficients.

A graphing calculator can also be used to graph the equations. You may have to write one variable in terms of the others. (Here, it is convenient to let z=3-y.) The second attachment shows the solution (x, y) = (1, 0). This is sufficient to choose the correct answer. Or, you can finish the solution by substituting into the expression for z: z = 3 -y = 3 -0 = 3.

Many calculators will solve the system of equations after you enter it as presented in the problem statement.

Answer:

36 girls

Step-by-step explanation:

2x=24

x=12

3(12) = y

y= 36

Answer:

£26.77

Step-by-step explanation:

450(100% + 2%)^6

= 450 (1.02)^6

= 506.77.

506.77 - 480 - 26.77.

Riley had £26.77 left.

From the right-angled triangle given, let us identify the given sides with reference to the angle 55°

The correct trigonometry that has both the adjacent and the hypotenuse is the cosine

To solve for x, we will then use cosine as follows

Answer:

0.433

Step-by-step explanation:

From the given information;

Let represent Urn 1 to be Q₁ ;

Urn 2 to be Q₂

and the event that a blue token is taken should be R

SO,

Given that:

Urn 1 comprises of 4 blue token and 9 red tokens,

Then, the probability of having a blue token | urn 1 picked is:

 \(P(R|Q_1) = \dfrac{4}{4+9}\)

\(= \dfrac{4}{13}\)

Urn 2 comprises of 12 blue token and 5 red tokens;

Thus \(P(R| Q_2) = \dfrac{12}{12+5}\)

\(=\dfrac{12}{17}\)

SO, if two coins are flipped, the probability of having two heads = \(\dfrac{1}{4}\)

(since (H,H) is the only way)

Also, the probability of having at least one single tail = \(\dfrac{3}{4}\)

(since (H,T), (T,H), (T,T) are the only possible outcome)

Thus: so far we knew:

\(P(Q_2) = \dfrac{1}{4} \\ \\ P(Q_2) = \dfrac{3}{4}\)

We can now apply Naive-Bayes Theorem;

So, the probability P(of the token from Urn 2| the token is blue) = \(P(Q_2|R)\)

\(P(Q_2|R) = \dfrac{P(R \cap Q_2)}{P(R)} \\ \\ = \dfrac{P(R|Q_2) * P(Q_2)}{P(R|Q_2) \ P(R_2) + P(R|Q_1) \ P(Q_1)} \\ \\ \\ \\ = \dfrac{\dfrac{12}{17} \times \dfrac{1}{4} }{\dfrac{12}{17} \times \dfrac{1}{4} + \dfrac{4}{13} \times \dfrac{3}{4}} \\ \\ \\ = \dfrac{13}{30}\)

= 0.433

To find the function n(t) that models the population of bacteria after t hours, we can use the exponential growth formula:

n(t) = n0 * e^(kt)

Where:

n(t) is the population after t hours,

n0 is the initial population size,

e is the base of the natural logarithm (approximately 2.71828),

k is the growth rate constant.

We can determine the value of k using the given information. After 1 hour, the bacteria count is 9500, which is the population at time t = 1. Plugging these values into the equation:

\(9500 = 1100 * e^(k*1)\)

To find k, we can divide both sides by 1100:

9500/1100 = e^k

Now, we can solve for k by taking the natural logarithm (ln) of both sides:

ln(9500/1100) = ln(e^k)

ln(9500/1100) = k

Now we have the value of k. We can plug it back into the exponential growth formula to obtain the function n(t):

\(n(t) = 1100 * e^(ln(9500/1100) * t)\)

To find the population after 1.5 hours, we can substitute t = 1.5 into the equation:

\(n(1.5) = 1100 * e^(ln(9500/1100) * 1.5)\)

To find the number of hours when the number of bacteria will reach 20,000, we can set n(t) equal to 20,000 and solve for t:

\(20,000 = 1100 * e^(ln(9500/1100) * t)\)

Finally, to sketch the graph of the population function, plot the values of t on the x-axis and the corresponding values of n(t) on the y-axis using the equation n(t) = 1100 * e^(ln(9500/1100) * t). The resulting graph will show the exponential growth of the bacteria population over time.

For more such questions on exponential

https://brainly.com/question/30166689

#SPJ8

Area of base triangle = 1/2×base×height

Area of base= 8×6×1/2= 24cm²

Area of prism = Bh = 24 × 12 = 288cm³

Answer:

Solution given:

base[b]=6cm

height [h]=8cm

length[l]=12cm

volume of a prism=area of triangle *length

=½*b*h*l=½*6*8*12=288cm³

is a required answer.

Answer:

You could ask a school principal and he/she will tell you most likely.

Umm, You could visit websites like Club.Z?

Brainliest?

thx U3U <3