4. Cindy is designing a rectangular fountain in the middle of a courtyard. The rest of the courtyard will be covered in stone. The part of the courtyard that will be covered in stone has an area of 246 square feet. Show your work. b. What fraction of the courtyard will be occupied by the fountain? ​

Solution:

Given:

Using the Z-score formula, the Z-score of the data is gotten below.

Hence,

From the Z-scores table, the probability that a person will wait for more than 1 minute is;

Therefore, to four decimal places, the probability that a person will wait for more than 1 minute is 0.8413

Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

Answer:

in the thousands place

Step-by-step explanation:

Answer:

Hundreds

Step-by-step explanation:

This is how we can represent it:

*The symbol 'x' represents the numbers that we don't know.

7xx.7

The first 'x' has a place value of ones.

The second 'x' has a place value of tens.

And the second number (7) has a place value of hundreds.

Answer:

$30.00

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

$28.75 + $1.25 = $30.00

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

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Answer:

37.50 UNITS SQUARE.

Step-by-step explanation:

add 6 to 9 you get 15

multiply 15 by 5 you get 75

divide 75 by 2

37.5

I hope it helps bye

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

The probability of selecting a red candy from the bag will be 4/14.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

In the bag 4 red, 3 green, and 7 yellow candies.

Total candies = 4 + 3 + 7 = 14

The number of red candies is 4

The probability of selecting red candy is = 4/14

Hence"Picking a red candy out of the bag will have a 4/14 chance of happening".

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The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

x>-3

Step-by-step explanation:

3x+6>x - move the terms

3x-x>-6 collect like terms

2x>-6 divide both sides

Answer:

(-∞, -1]

Step-by-step explanation:

−x−6≥−5

-x≥1

x≤-1

−2x−5>4

-2x>9

x<-9/2

So x < -9/2 V x ≤ -1

Answer:

(−∞,∞)

Step-by-step explanation:

5x - 4 ≤ - 3

5x ≤ 1

x ≤ \(\frac{1}{5}\)

4x + 6 > 0

4x > - 6

x > - \(\frac{3}{2}\)

Answer:

its true, true, false, false

Step-by-step explanation:

a is true b is true c is false and d is false

\(f(x) = - x {}^{2} + 18 \\ f'(x) = - 2x\)

\(x_{n + 1} = x_{n} - \frac{f(x_{n})}{f'(x_{n})} \)

\(x_{2} = 3 - \frac{f(3)}{f'(3)} = 4.5\)

\(x _{3}= 4.5 - \frac{f(4.5)}{f'(4.5)} = 4.25\)

\(x_{4} = 4.25 - \frac{f(4.25)}{f'(4.25)} ≈4.242647\)

\(x_{5} = 4.242647 - \frac{f(4.242647)}{f'(4.242647)} ≈4.242640 \\ \)

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This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.

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Answer:3/20

Step-by-step explanation:

answer:

literally how. i just did this question myself lol

the answer is 540 with each interior angle being 108 degrees

Answer:

50

Step-by-step explanation:

i got it correct on the iready quiz

The graph of the line does not change except only in the y - intercept. The slope of the line remains same.

        y = mx + c

        [m] : slope of line.

        [c] : y - intercept

Given is a graph that shows the relationship between time and the distance a train travels.

From the graph, we can write the coordinates as -

(1, 60) and (2, 120)

So, we can write the slope of the line as -

m = (120 - 60)/(2 - 1)

m = 60/1

m = 60

Therefore, the slope of the line given in the graph will be 60 miles/hr.

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Answer: 36 bananas

Step-by-step explanation: find 1/2 of 24 which is 12. Then, add that with 24.

Answer:

  1.0325s

Step-by-step explanation:

The expression can be simplified by combining the terms.

  s + 0.0325s = s(1 +0.0325) = 1.0325s

9514 1404 393

Answer:

  y = -2x +2

Step-by-step explanation:

The slope is the y-change divided by the x-change:

  m = (y2 -y1)/(x2 -x1)

  m = (0 -2)/(1 -0) = -2

The y-intercept is the y-value when x=0: b = 2.

The slope-intercept equation is ...

  y = mx +b

  y = -2x +2

Answer:

tndjxisjebducu

ejdjdnebdix

Answer:

See below

Step-by-step explanation:

Start by subtracting 5.2 from both sides of the equation

  so  "subtraction property of equality "    I suppose ......

then the next step would be divide both sides by 2.5  

  which would be division property of equality  

Answer: Subtraction Property of Equality

Step-by-step explanation:

- the subtraction property of equality is the rule that when you subtract the same number to or from both sides of an equation and get an equivalent equation

__________________________________________________________

- for this equation you would subtract 5.2 from the left-side of the equation and subtract it from 35.2 on the right side of the equation

      - this is to isolate n

- basically 2.5n = 30 since n is a variable and that number multiplied by 2.5 will equal 30

- so the new equation would be 2.5n = 30

- so then:  \(\frac{n}{2.5}\) = \(\frac{30}{2.5}\)  so n = 12

hope this helps :)

Since the discriminant is negative, the equation has two complex conjugate roots is -19.

To find complex conjugate roots of a polynomial, you can follow these steps:

Identify the complex roots of the polynomial: Use the quadratic formula or any other method to find the roots of the polynomial. If the roots are complex, they will be of the form a + bi, where a and b are real numbers and i is the imaginary unit.

Check for conjugate pairs: If a complex root is of the form a + bi, then its complex conjugate will be a - bi. Check if the polynomial has any other root of the form a - bi. If so, then the two roots are complex conjugates.

For example, suppose you have a polynomial with the equation:

\(x^3 - 4x^2 + 7x - 10 = 0\)

Using a calculator or other methods, you can find that one of the roots of this polynomial is approximately 1.72 + 0.98i. To check if this is part of a complex conjugate pair, you can check if the polynomial has another root of the form a - bi.

One way to do this is to use polynomial long division to divide the original polynomial by the quadratic factor (x - (1.72 + 0.98i)) (x - (1.72 - 0.98i)).

To determine the number and type of roots of the equation x^2 - 3x + 7 = 0, we need to use the discriminant, which is given by the formula b^2 - 4ac.

In this case, a = 1, b = -3, and c = 7. Substituting these values into the formula, we get:

\(b^2 - 4ac = (-3)^2 - 4(1)(7) = 9 - 28 = -19\)

Since the discriminant is negative, the equation has two complex conjugate roots.

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Answer:

1001

Step-by-step explanation:

Answer:

95.07\(m^{2}\)

Step-by-step explanation:

You need to work out the area of a cicle, since the goat can only move 5.5m round

Area of a cicle = π r²

π = 22/7

r=5.5m

\(\frac{22}{7}\) x \(5.5^{2}\) = 95.07142857 = 95.07\(m^{2}\) (to 2d.p)

Answer:

94.79 square meters.

Step-by-step explanation:

Assuming the goat is tied to the peg in the ground, the area that the goat can graze on can be represented by a circle with radius equal to the length of the rope.

Given that the length of the rope is 5.5 meters, the radius of the circle can be calculated as:

r = length of rope = 5.5 meters

The area of a circle is given by the formula:

A = πr²

where π (pi) is approximately equal to 22/7 or 3.14.

So, substituting the value of r, we get:

A = π × (5.5)²

= 3.14 × (5.5)²

= 3.14 × 30.25

= 94.79 square meters (approx.)

Therefore, the area of grass that the goat can eat is approximately 94.79 square meters.

Answer: B

Step-by-step explanation: