Sketch and shade the region in the xy-plane defined by the equation or inequalities.

|x| < 7 and |y| < 3 g

The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.

To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.

First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.

Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.

The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.

(3/10) * 100 = 0.3 * 100 = 30%

Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.

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Answer:

(y times 6) -1

Step-by-step explanation:

I don't know what to say it is already simplified

Answer:

g o f = \(g(f(x)) = 32x^2 + 32x + 4\)

Step-by-step explanation:

Given

\(f(x) = 4x +2\)

\(g(x) =2x^2 - 4\)

Required:

Find g o f

This is calculated as:

\(gof = g(f(x))\)

\(g(x) =2x^2 - 4\)

So:

\(g(f(x)) = 2(4x+2)^2 - 4\)

\(g(f(x)) = 2(4x+2)(4x+2) - 4\)

\(g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4\)

\(g(f(x)) = 32x^2 + 32x + 8 - 4\)

\(g(f(x)) = 32x^2 + 32x + 4\)

The surface area of a cylinder is 284m² and it's volume is 366.9m³

To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:

From the given question, the data are;

a. The surface area of the cylinder is;

SA = 2π(4)² + 2π(4)(7.3)

SA = 283.999≈284m²

b. The volume of the cylinder is

v = πr²h

v = π(4)²(7.3)

v = 366.9m³

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This answer states that when graphing a linear relationship (y = 2x) on a coordinate plane, the points form a straight line, indicating that the relationship is proportional. However, when graphing a non-linear relationship (y = x2) on a coordinate plane, the points form a parabolic curve, indicating that the relationship is not proportional.

A: Relationship 1:

The relationship between x and y is y = 2x.

When graphed on a coordinate plane, the points (0,0), (1,2), (2,4), (3,6), and (4,8) form a straight line, indicating that the relationship is proportional.

Relationship 2:

The relationship between x and y is y = x2.

When graphed on a coordinate plane, the points (0,0), (1,1), (2,4), (3,9), and (4,16) form a parabolic curve, indicating that the relationship is not proportional.

This answer states that when graphing a linear relationship (y = 2x) on a coordinate plane, the points form a straight line, indicating that the relationship is proportional. However, when graphing a non-linear relationship (y = x2) on a coordinate plane, the points form a parabolic curve, indicating that the relationship is not proportional.

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Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

who is that rich brat

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard deviation of a data set is computed using the formula:

\(\sigma = \sqrt{\dfrac{\sum_{i=1}^{n}(x_i - \mu)^{2}}{n}}\)

where \(\sigma\) is the standard deviation, \(x_i\) are the individual data values, \(\mu\) is the mean and \(n\) is the number of observations

So we first subtract the mean from each data value

then we square the result

then we sum(add) up all these values

then divide by n

and finally find the square root

The round operation will occur after all the above calculations

The fraction of the fabric is 7 3/24m.

It should be noted that from the information, Flor bought different fractions of fabric and we want to calculate the total.

Therefore the total fractions will be:

= 2 5/8 + 1 1/3 + 3 1/6

= 2 15/24 + 1 8/24 + 3 4 / 24

= 6 27 / 24.

= 7 3/24

The total fraction is 7 3/24 m.

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Answer:

he would have 106

Step-by-step explanation:

hope it helps

Calls greater than 400 would be more economical in plan 1 than plan 2 and the inequality is 29 < 17 + 0.03x

The given parameters are:

Plan 1

Plan 2

Let the number of months be x.

So, we have the following equation

Plan 1: 29

Plan 2: 17 + 0.03x

For plan 1 to be more economical plan than plan 2, then we have the following inequality

Plan 1 < Plan 2

This is represented as

29 < 17 + 0.03x

Subtract 0.03x from both sides of the inequality

So, we have

0.03x > 12

Divide both sides by 0.03

x > 400

In (a), we have

x > 400

This means that the number of calls for the plan 1 to be more economical than plan 2, then the number of calls must be greater than 400

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Answer:

y = 25x + 200

Step-by-step explanation:

y =  the total cost of the party

x = the number of guests

75/3 = 25

25 is the cost per guest.

Helping in the name of Jesus.

Making a graph of linear inequalities is similar to making a graph of linear equations. But with inequalities, we find a region instead of a line.

What is linear inequality?

Linear inequalities are mathematical statements that are made up of two expressions which are compared using inequality symbols.

The following steps are to be followed to make a graph of linear inequality:-

1. Solve the inequality for y.

2. Considering the inequality as a linear equation graph the line. ( If the inequality sign does not contain an equal sign then draw a dashed line; if the inequality contains an equal sign then draw a solid line.

3. Shade the region that satisfies the inequality.

Hence, a system of linear inequality is graphed similarly to that of a linear equation, but a region is obtained.

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Answer:

hope this helps

Step-by-step explanation:

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph

The first three terms of the arithmetic sequence are -97, -63, and -29.

The value of x = -14.

To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:

The common difference (d) is the same between all consecutive terms.

So, we have:

(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)

Simplifying the equation:

5x + 7 - 7x - 1 = 2x - 1 - 5x - 7

-2x + 6 = -3x - 8

Now, let's solve for X:

-2x + 3x = -8 - 6

x = -14

Substituting the value of X back into the expressions, we can find the first three terms:

First term: 7x + 1 = 7(-14) + 1 = -97

Second term: 5x + 7 = 5(-14) + 7 = -63

Third term: 2x - 1 = 2(-14) - 1 = -29

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Answer:

1/4, 1/3, 5/8

Step-by-step explanation:

Hope it helps

Answer:

in explanation

Step-by-step explanation:

angle rules say that those angles respond to each other meaning

they will equal each other

so 6x-4=4x+14

now solve for x

x=9

the top angle will be

6(9)-4=50

bottom angle will be 50

4(9)+14=50

The balance of the account after 12 years is given as follows:

$9,111.

The balance of an account after t years, using continuous compounding, is given by the exponential equation presented as follows:

\(A(t) = A(0)e^{kt}\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

A(0) = 5000, k = 0.025, t = 12.

Hence the balance of the account after 12 years is given as follows:

\(A(t) = A(0)e^{kt}\)

\(A(12) = 5000e^{0.025 \times 24}\)

A(12) = $9,111.

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Answer:

x=-2

Step-by-step explanation:

Distribute, add 12 to both side, then simplify

Answer: -2

Let's solve your equation step-by-step.

−2(x+6)=4x:

Step 1: Simplify both sides of the equation.

−2(x + 6) = 4x

(−2)(x) + (−2)(6) = 4x (Distribute)

−2x + (−12) = 4x

−2x − 12 = 4x

Step 2: Subtract 4x from both sides.

−2x − 12 − 4x = 4x − 4x

−6x − 12 = 0

Step 3: Add 12 to both sides.

−6x − 12 + 12 = 0 + 12

−6x = 12

Step 4: Divide both sides by -6.

−6x/−6 = 12/−6

x = −2

The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Step-by-step explanation:

Answer:

To solve this problem, we can use combinatorics to calculate the total number of ways Ahmed can select 3 coins from his bag of 10 coins, and then determine the number of ways he can select exactly £2 from those 3 coins.

The total number of ways Ahmed can select 3 coins from 10 is given by the combination formula "n choose r", denoted as C(n, r), which is calculated as:

C(n, r) = n! / (r! * (n - r)!)

where "!" denotes the factorial of a number.

Plugging in the values for this problem, we have:

n = 10 (total number of coins)

r = 3 (number of coins to be selected)

C(10, 3) = 10! / (3! * (10 - 3)!)

= 10! / (3! * 7!)

= (10 * 9 * 8) / (3 * 2 * 1)

= 120

So, there are a total of 120 ways Ahmed can select 3 coins from his bag.

Now, let's determine the number of ways Ahmed can select exactly £2 from those 3 coins. Ahmed can do this in the following ways:

Selecting 2 £1 coins and 1 50p coin: There are 6C2 ways to select 2 £1 coins from the 6 available, and 4C1 ways to select 1 50p coin from the 4 available. So, the total number of ways for this case is 6C2 * 4C1.

Selecting 1 £1 coin and 2 50p coins: There are 6C1 ways to select 1 £1 coin from the 6 available, and 4C2 ways to select 2 50p coins from the 4 available. So, the total number of ways for this case is 6C1 * 4C2.

Adding the results of these two cases will give us the total number of ways Ahmed can select exactly £2 from his 3 coin selection.

Now, we can calculate the probabilities:

Total number of ways to select exactly £2 = 6C2 * 4C1 + 6C1 * 4C2

= (6! / (2! * 4!)) * (4! / (1! * 3!)) + (6! / (1! * 5!)) * (4! / (2! * 2!))

= (15 * 4) + (6 * 6)

= 60 + 36

= 96

So, there are a total of 96 ways Ahmed can select exactly £2 from his 3 coin selection.

The probability of Ahmed selecting exactly £2 is given by the ratio of the total number of ways to select exactly £2 to the total number of ways to select 3 coins, which is 120 (calculated earlier).

Probability of selecting exactly £2 = Total number of ways to select exactly £2 / Total number of ways to select 3 coins

= 96 / 120

= 0.8

So, the probability that Ahmed takes exactly £2 from his 3 coin selection is 0.8, or 80%.


Check it out urself and see if its correct ;D

Ahmed's probability of drawing exactly £2 from his bag of coins is calculated by finding the chance of drawing two £1 coins from six, multiplied by the chance of drawing one 50p coin from four. This is calculated using combinations in probability theory.

This question relates to the field of Probability in Mathematics. The goal is to find out the chance of drawing exactly £2 from a bag containing six £1 coins and four 50p coins, with a total of three draws made.

There are two ways Ahmed can get exactly £2: draw two £1 coins and one 50p coin (Scenario 1), or draw four 50p coins (Scenario 2). However, Scenario 2 is not possible, because Ahmed is only drawing three coins.

Under Scenario 1, the probability is calculated as follows:

Multiplying these two probabilities together, we get our final answer.

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Answer:

The original price of the shirt was Ksh 500 and it was sold for Ksh 550.

The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.

To find the percentage discount, we can use the formula:

percentage discount = (discount ÷ original price) × 100%

percentage discount = (-50 ÷ 500) × 100%

percentage discount = -10%

Therefore, the percentage discount is 10%.

Answer: $400

Step-by-step explanation:

Discount = 15%

The original price/value of an item is always 100%

So selling price (%) = original price - discount = 100%-15% = 85%

We got selling price as 85%

This implies that 85% = 340

Let's find 1% first, then 100%

1% = 340÷85 = 4

100% = 4 × 100 = $400

The usual (normal/original) price is $400

Juan sold a bicycle at a discount of 15% if the selling price was $340 then the usual price of the bicycle was $400.

percentage, a relative value indicating hundredth parts of any quantity.

Let's represent the usual price of the bicycle by P.

Since Juan sold the bicycle at a discount of 15%, the selling price (S) would be 85% of the usual price (P).

We can express this relationship as an equation:

S = 0.85P

We also know that the selling price of the bicycle was $340.

Substituting S = $340 into the equation above, we get:

$340 = 0.85P

To find P, we can solve for it:

P = $340 / 0.85

P = $400

Therefore, the usual price of the bicycle was $400.

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the given series is 4 -16 64 -256

that is

4 x -4 = -16 = -4^2

-16 x -4 = 64 = 4^3

64 x -4 = -256 = -4^4

so we can say that is every time the number is multiplied with -4,

for a7, as 7 is an odd number so the negative sign will be there from the above observations

-4^7 = -16384

the recursive rule will be'

C. I'm not sure.....