Mrs. Dunlap thinks she should plant the flowers in 4 rows of 5 flowers. Dose her plant make sense explain why or why not

The given grammar consists of a set of terminal symbols {a, b}, a set of nonterminal symbols {S, A}, and the starting symbol S. The grammar defines production rules for generating strings using these symbols

The grammar describes the structure of valid strings in the language defined by the grammar. It consists of nonterminal symbols (S, A) and terminal symbols (a, b) that can be combined according to the production rules. The starting symbol S indicates the initial state of the grammar. By applying the production rules, we can generate various valid strings.

The given set of strings, SSS, Sa4b, 4a4b, Ab, and A, represents specific strings that can be derived from the grammar. In summary, the given grammar and the set of strings represent the rules and valid instances of a language defined by the grammar.

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Answer:

x = 12.2

Step-by-step explanation:

sin theta = opp / hypotenuse

sin 55 = 10 /x

Multiply each side by x

x sin 55 = 10

Divide each side by sin 55

x = 10 / sin 55

x =12.20774589

Rounding to the nearest tenth

x = 12.2

Answer:

2 6 12

Step-by-step explanation:

there are the only factor of 12 there

The probability that any particular shift being inspected has produced fewer than 50 bad bulbs is 0.2851.

The mean number of bad bulbs per shift is 6.0.

The probability mass function of Poisson distribution is:

P(X=x)=e^(−λ)λ^x/x!

The Poisson distribution is used to find the given probability.

The probability that any particular shift being inspected has produced fewer than 5 0 bad bulbs is:

P(x<5)=P(x≤4)

=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)

=\(e^{-6}\cdot\frac{6^0}{0!}+e^{-6}\cdot\frac{6^1}{1!}+e^{-6}\cdot\frac{6^2}{2!}+e^{-6}\cdot\frac{6^3}{3!}+e^{-6}\cdot\frac{6^4}{4!}\)

=0.0025+0.0149+0.0446+0.0892+0.1339

=0.2851

The required probability is obtained by substituting the values of mean and x in Poisson probability mass function.

The probability that any particular shift being inspected has produced fewer than 50 bad bulbs is 0.2851.

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Answer:

3/2 is the rise over the run

A linear relationship can be expressed by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.

This equation can be used to calculate the relationship between two variables, x and y. For example, if we have two sets of data points (x1, y1)…(xn, yn) we can calculate the slope m and the y-intercept b as follows:

m = (sum of (x_i - x_mean)*(y_i - y_mean))/(sum of (x_i - x_mean)^2)

b = y_mean - m*x_mean

Where x_mean and y_mean are the sample means of the x and y variables respectively.

Once we have calculated m and b, we can use the equation y = mx + b to describe the linear relationship between x and y. We can also use this equation to predict the value of y for a given x value. For example, if m = 2 and b = 0, then the equation becomes y = 2x and we can predict that when x = 1, y = 2.

In contrast, a nonlinear relationship is one which cannot be described by the equation y = mx + b, as the relationship between x and y is not linear. Instead, a nonlinear relationship is one in which the relationship between x and y is described by a more complex equation, such as y = ax^2 + bx + c.

To summarise, a linear relationship between two variables can be described by the equation y = mx + b, where m is the slope and b is the y-intercept, while a nonlinear relationship is one which cannot be described by this equation and is instead described by a more complex equation.

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Answer:

x+131=180

then subtract 131

x=49

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad B(\stackrel{x_2}{9}~,~\stackrel{y_2}{7}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 9 + 4}{2}~~~ ,~~~ \cfrac{ 7 -1}{2} \right)\implies \left(\cfrac{13}{2}~~,~~\cfrac{6}{2} \right)\implies \left( 6\frac{1}{2}~~,~~3 \right)\)

Answer:

i think X^3y^12

Step-by-step explanation:

.......

\(y-3 = -\dfrac 12(x-4)\\\\\implies y-3 = -\dfrac 12 x + \left(-\dfrac 12 \right)(-4)\\\\\implies y -3 = -\dfrac 12x + 2\\\\\implies y = -\dfrac 12 x +2 +3\\\\\implies y = -\dfrac 12x +5\\\\\text{This is now in the form of y=mx+b}\)

Answer:

:)

Step-by-step explanation:

1.) 400 thousand

= 20 thousand

= 3 thousand

= 800

= 90

= 7

= 0.2

= 0.03

= 0.006

2.)

= 800 million (hundred million)

= 20 million ( 10 millions)

= 3 million (millions)

= 500 thousand (hundred thousands)

= 80 thousand (10 thousands)

= 9 thousand (thousands)

= 100 (hundreds

= 0 (tens)

= 2 (single digit)

3.) 2 digit difference / 10^2

 or 5000000 and 50000

= 4950000 difference

4.)  40000, 40

     39950 difference

Answer:

16

Step-by-step explanation:

\(8=\sqrt{4x} \\ \\ 64=4x \\ \\ x=16\)

F(x)= {0.29x, 0 <x ≤ 25 GB

{0.26x, 25 <x ≤ 50

{0.23x, 50 <x ≤ 75

{0.20x, x > 75

.23 x 75= 17.25

.20 x 75 +1= 15.2

The difference in price for storing just the 75 GB and for storing 75 GB plus a new music collection that is 1 GB or less is $0.06.

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not is used in place of the equal sign.

we have,

Charges         Size

$0.29           0 < x ≤ 25

$0.26            25 < x ≤ 50

$0.23            50 < x < 75

$0.20                x > 75

Now, the charges for 75 GB is $0.23 and the charges for more than 75 GB plus a new music collection that is 1 GB or less is $0.29.

So, the difference in charges is

= 0.29- 0.23

= $0.06

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Answer:

59.04°

58.31 inches

Step-by-step explanation:

The solution triangle is attached below :

Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;

Let the angle = θ

Tanθ = opposite / Adjacent

Tanθ = 50/30

θ = tan^-1(50/30)

θ = 59.036°

θ = 59.04°

The length of ladder can be obtained using Pythagoras :

Length of ladder is the hypotenus :

Hence,

Hypotenus = √(adjacent² + opposite²)

Hypotenus = √(50² + 30²)

Hypotenus = √(2500 + 900)

Hypotenus = 58.309

Length of ladder = 58.31 inches

Answer:

59°

58.3 inches

Step-by-step explanation:

Here is the full question :

A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.

Please check the attached image for a diagram explaining this question

The angle the ladder makes with the ground is labelled x in the diagram

To find the value of x given the opposite and adjacent lengths, use tan

tan⁻¹ (opposite / adjacent)

tan⁻¹  (50 / 30)

tan⁻¹ 1.667

= 59°

the length of the ladder can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

√(50² + 30²)

√(2500 + 900)

√3400

= 58.3 inches

4 is the range of the data set in the given set.

The space between the highest and lowest values in a data collection is known as the range. Similar units to the data are used to quantify variability. Variability is increased with larger values. The range has several limitations but is the most straightforward statistical measure of dispersion to compute and comprehend.

This means that the range might alternatively be described as the distance between the highest and lowest observation.

In the given data set,

range = maximum frequency - minimum frequency

range = 5 - 1

range = 4

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Recall that the inequality x>b in interval notation is:

Subtracting 3 to the given inequality we get:

Which in interval notation is:

Answer:

Tommy who tosses 3 coins, the probability that he tosses two tails specify that he has tossed at least one tail is equals to the 0.428.

Probability is chance of occurrence of an event. It is calculated by the number of favourable outcomes divided by total number of possible outcomes. Tommy tosses 3 coins, total number of possible outcomes on tossing = 8

Here, we can define, two events

A : tossing two tails in three coin flips.

B : tossing at least one tail in three coin flips

Now we want to determine P(A|B) . The number of possible favourable outcomes for getting two tails = 3

The probability of occurrence of an event A, P( A) = \(\frac{3}{8} \)

Probability of occurrence of event B, P(B) = \(\frac{7}{8} \).

P(B|A) : denotes if two tails in three flips, the coin has definitely turned up tails at least once. Therefore this probability is equals to 1 .Using Baye's theorem,

P(A/B) = \(\frac{ P(A)⋅P(B|A)}{P(B)} \)

= \(\frac{ \frac{ 3}{8} ×1}{\frac{7}{8}} \)

= 0.428

Hence, required probability is 0.428.

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The dot product of two vectors is obtained by multiplying the corresponding elements of the two vectors and then adding them.

Thus, the dot product of two vectors

\vec{a} = (a_1, a_2, a_3)

and \vec{b} = (b_1, b_2, b_3)

is given by:

\vec{a} \cdot \vec{b} = a_1b_1 + a_2b_2 + a_3b_3

Using the above formula, let us calculate the dot product of the given vectors v and w:

v \cdot w = (6, -2) \cdot (2, 1) = 6 \cdot 2 + (-2) \cdot 1 = 12 - 2 = 10

Now, let \theta be the angle between vectors v and w.

We can use the formula:

\cos \theta = \frac{\vec{v} \cdot \vec{w}}{||\vec{v}|| \cdot ||\vec{w}||}

where ||\vec{v}|| and ||\vec{w}||

are the magnitudes of vectors v and w, respectively.

Using the dot product calculated above,

we have:\cos \theta = \frac{v \cdot w}{||v|| \cdot ||w||} = \frac{10}{\sqrt{6^2 + (-2)^2} \cdot \sqrt{2^2 + 1^2}} = \frac{10}{\sqrt{40} \cdot \sqrt{5}} = \frac{1}{\sqrt{2}}

Since 0^{\circ} \leq \theta < 180^{\circ}, the value of \theta lies in the first or second quadrant. Therefore, we have:

\theta = \cos^{-1} \frac{1}{\sqrt{2}} \approx 45^{\circ}

Thus, the dot product of vectors v and w is 10, andthe angle between them is approximately 45 degrees.

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The purpose of a variable is to hold and represent a value Option C.

The purpose of a variable in programming or mathematics is to hold and represent a value that can be assigned, changed, and used in various operations or calculations. Variables are fundamental components of programming languages and mathematical equations, enabling flexibility and dynamic behavior in computational tasks.

Option (c) "to hold a value" is the most accurate answer, as variables are used to store data or information in memory locations. This value can be of different types, such as integers, floating-point numbers, characters, or even more complex data structures like arrays or objects.

Variables allow programmers to work with and manipulate data efficiently. By assigning values to variables, we can reference and modify them throughout the program, making it easier to manage and organize information.

Variables also play a crucial role in performing calculations, as mentioned in option (b). We can use variables in mathematical expressions and algorithms to perform arithmetic operations, comparisons, and other computations. By storing values in variables, we can reuse them in multiple calculations and update them as needed.

While option (a) "to assign values" is a specific use case of variables, it is not the sole purpose. Variables not only store values but also facilitate data manipulation, control flow, and the implementation of algorithms and logic.

Option (d) "to hold a constant value" is incorrect because variables, by definition, can hold varying values. Constants, on the other hand, are fixed values that do not change during the execution of a program. Option C is correct.

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Answer:

(0,3)

Step-by-step explanation:

The parent function's vertex is at (0,0) and this function is being translated 3 units up, so the vertex is at (0,3)

Answer:

8 teams each team will have 4 girls and 4 boys

Step-by-step explanation:

We use GCD to solve this

the GCD of 32 and 24 = 8

8 is the greatest number of teams.

each team must have equal number of boys and girls so divided by two

8/2 = 4

4 girls and 4 boys

I have attached how to do GCD.

If you need any clarification or more explanation pls do mention at the comment section

Hope this helps and if it does pls mark as brainliest answer thx

Answer:

3.5/100*8=.28

Step-by-step explanation:

The easiest way to solve 4 linear equations is to use the substitution method. This involves substituting the values of one equation into the other equations until you are left with a single equation that can be solved for the remaining variable.

if you have the following four linear equations:

A + B = 10

A - B = 2

A + C = 12

A - C = 3

You can substitute A = 10 - B into the third and fourth equations to get:

10 - B + C = 12

10 - B - C = 3

Then you can add the two equations together and solve for C:

2B + 2C = 15

2C = 15 - 2B

C = (15 - 2B) / 2

Once you have C, you can substitute it into one of the other equations to solve for B:

A + B = 10

A = 10 - C

B = 10 - (15 - 2B) / 2

B = 5 - (15 - 2B) / 2

2B = 10 - 15

2B = -5

B = -2.5

Now you have both B

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Answers to both the subparts using mathematical operations are shown:

(A) Rate of the car in miles/min: 0.95 miles/min

(B) Distance traveled in 5 min: 4.8 miles

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation."

The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).

So, we know that the rate of the car is 57 miles/hour.

(A) Car rate in miles/min

We know that 1 hour has 60 minutes. Then,

57/60

0.95 miles/min

(B) Distance traveled in 5 min:

0.95 * 5

4.75

Rounding off: 4.8 miles

Therefore, answers to both the subparts using mathematical operations are shown:

(A) Rate of the car in miles/min: 0.95 miles/min

(B) Distance traveled in 5 min: 4.8 miles

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Answer:

Sorry Ion play COD

Step-by-step explanation:

The equivalent function to the given one is:

L(t) = 7,920*(3)^t

Here we want to rewrite the function:

L(t) = 880*(3)^(t + 2)

Into the form:

L(t) = a*(b)^t

Remember the rule for exponents:

(x^a)*(x^b) = x^(a + b)

Then we can take our function:

L(t) = 880*(3)^(t + 2)

And rewrite this as:

L(t) = 880*(3^t)*(3^2)

L(t) = 9*880*3^t

L(t) = 7,920*(3)^t

That is the equivalent function.

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Answer:

\(domain = {{ -2, - 9,7, - 3}}\)

\(range = { {- 2,0,- 9,2}}\)

Step-by-step explanation:

Greetings!!!

Consider the relation {(0,7),(0,8),(1,7),(1,8),(1,9),(2,10)} .

Here, the relation is given as a set of ordered pairs.

If you have any questions tag it on comments

Hope it helps!!!

Answer: 31500 cm^3

Step-by-step explanation:

Volume = Length x Width x Height

60 x 35 x 15= 31500

when we multiply three times it is known as cube /^3

answer is 31500 centimeters cube

Answer:

False

Step-by-step explanation:

Dividing integers is opposite operation of multiplication. But the rules for division of integers are same as multiplication rules. Though, it is not always necessary that the quotient will always be an integer.

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