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quester [9]
3 years ago
7

lynn and dawns tossed a coin 50 times and got heads 30 times. what is the experimental probability of tossing heads using lynn a

nd dawns result?
Mathematics
1 answer:
lyudmila [28]3 years ago
4 0
60% heads, 40% tails - Hope this helps
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Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.2
Agata [3.3K]

Answer:

E = 12.20(h) - 7.15

h = 6.82 hours

Given:

Pay hour = $12.20 per hour

Bus fare = $7.15

1.Equation:

Assume

She has work for "h" hours

Total earning = E

So,

E = 12.20(h) - 7.15

If,

Total earning = E = $90.45

So,

E = 12.20(h) - 7.15

90.45 = 12.20(h) - 7.15

h = 6.82 hours

7 0
4 years ago
What is 8/9 of 925935??????????????????<br> ⇒Who wants to talk :)<br> ❤️
just olya [345]

Answer:

823,053.33333

Step-by-step explanation:

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3 years ago
How would the expression x^3+64 be written using sum of cubes
Hunter-Best [27]
\bf \textit{difference and sum of cubes}&#10;\\\\&#10;a^3+b^3 = (a+b)(a^2-ab+b^2)&#10;\\\\&#10;a^3-b^3 = (a-b)(a^2+ab+b^2)\\\\&#10;-------------------------------\\\\&#10;\boxed{64=4^3}\qquad \qquad x^3+64\implies x^3+4^3\implies (x+4)(x^2-4x+16)
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Solve the equation uding the most direct method: 3x(x+6)=-10?​
Tanzania [10]

To solve this problem, you will use the distributive property to create an equation that can be rearranged and solved using the quadratic formula.

<h3>Distribute</h3>

Use the distributive property to distribute 3x into the term (x + 6):

3x(x+6)=-10

3x^2+18x=-10

<h3>Rearrange</h3>

To create a quadratic equation, add 10 to both sides of the equation:

3x^2+18x+10=-10+10

3x^2+18x+10=0

<h3>Use the Quadratic Formula</h3>

The quadratic formula is defined as:

\displaystyle x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

The model of a quadratic equation is defined as ax² + bx + c = 0. This can be related to our equation.

Therefore:

  • a = 3
  • b = 18
  • c = 10

Set up the quadratic formula:

\displaystyle x=\frac{-18 \pm \sqrt{(18)^2 - 4(3)(10)}}{2(3)}

Simplify by using BPEMDAS, which is an acronym for the order of operations:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Use BPEMDAS:

\displaystyle x=\frac{-18 \pm \sqrt{324 - 120}}{6}

Simplify the radicand:

\displaystyle x=\frac{-18 \pm \sqrt{204}}{6}

Create a factor tree for 204:

204 - 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102 and 204.

The largest factor group that creates a perfect square is 4 × 51. Therefore, turn 204 into 4 × 51:

\sqrt{4\times51}

Then, using the Product Property of Square Roots, break this into two radicands:

\sqrt{4} \times \sqrt{51}

Since 4 is a perfect square, it can be evaluated:

2 \times \sqrt{51}

To simplify further for easier reading, remove the multiplication symbol:

2\sqrt{51}

Then, substitute for the quadratic formula:

\displaystyle x=\frac{-18 \pm 2\sqrt{51}}{6}

This gives us a combined root, which we should separate to make things easier on ourselves.

<h3>Separate the Roots</h3>

Separate the roots at the plus-minus symbol:

\displaystyle x=\frac{-18 + 2\sqrt{51}}{6}

\displaystyle x=\frac{-18 - 2\sqrt{51}}{6}

Then, simplify the numerator of the roots by factoring 2 out:

\displaystyle x=\frac{2(-9 + \sqrt{51})}{6}

\displaystyle x=\frac{2(-9 - \sqrt{51})}{6}

Then, simplify the fraction by reducing 2/6 to 1/3:

\boxed{\displaystyle x=\frac{-9 + \sqrt{51}}{3}}

\boxed{\displaystyle x=\frac{-9 - \sqrt{51}}{3}}

The final answer to this problem is:

\displaystyle x=\frac{-9 + \sqrt{51}}{3}

\displaystyle x=\frac{-9 - \sqrt{51}}{3}

3 0
2 years ago
If rectangle is 8 feet long and (7+x) feet wide. what is the area of the rectangle in square feet?
Ksivusya [100]

if the length is 8ft and the width is (7+x) then the area would be 56+8x, if x is unknown.

5 0
4 years ago
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