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Virty [35]
3 years ago
11

Multiply (-3x4y3z)(-4x2y3z).​

Mathematics
2 answers:
Svetach [21]3 years ago
7 0

Answer:

12x6y6z2

Step-by-step explanation:

Multiply (–3x4y3z)(–4x2y3z). = 12x6y6z2

goldfiish [28.3K]3 years ago
4 0

Answer:

12x^{6} y^{6} z^{2}

Step-by-step explanation:

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A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno
Ket [755]

Answer:

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5 ml

Standard Deviation, σ = 0.4 ml

We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(paint cans contain less than 5.54 ml of the dye)

P( x < 5.54) = P( z < \displaystyle\frac{5.54 - 5}{0.4}) = P(z < 1.35)

Calculation the value from standard normal z table, we have,  

P(x < 5.54) =0.9115 = 91.15\%

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

5 0
3 years ago
0.11 as a fraction and in the simplest form
vovangra [49]
Considering that the last 1 in 0.11 is located in the hundredths place, the simplest from of this fraction is 11/100 because it cannot be reduced.

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5 0
3 years ago
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Joanna buys a table and 2 chairs. She receives a 25% discount for being a preferred customer and then pays 6% sales tax on the d
Scrat [10]

The total purchase price is $ 357.75

<em><u>Solution:</u></em>

Joanna buys a table and 2 chairs

Cost of table = $ 250

Cost of 1 chair = $ 100

Therefore, cost of a table and 2 chairs = 250 + 2(100) = 450

Thus, cost price = $ 450

<em><u>She receives a 25% discount for being a preferred customer</u></em>

Therefore, discount = 25 % of cost price

discount = 25 \% \times 450\\\\discount = \frac{25}{100} \times 450\\\\discount = 0.25 \times 450 = 112.5

Thus, amount after discount = cost price - discount

amount after discount = 450 - 112.5 = 337.5

Thus, amount after discount is $ 337.5

<em><u>Then pays 6% sales tax on the discounted purchase price</u></em>

Sales tax = 6 % of 337.5

sales\ tax = 6 \% \times 337.5\\\\sales\ tax = \frac{6}{100} \times 337.5\\\\sales\ tax = 20.25

<em><u>Thus, total purchase price is given as:</u></em>

total purchase price = Amount after discount + sales tax

total purchase price = 337.5 + 20.25 = 357.75

Thus total purchase price is $ 357.75

4 0
3 years ago
The figure below is not drawn to scale. ABCD is a parallelogram, Find
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\angle BAD=100^{\circ} (opposite angles in a parallelogram)

\angle EAD=80^{\circ} (subtraction)

\angle ADE=65^{\circ} (angles in a triangle add to 180 degrees)

\angle CDA=80^{\circ} (adjacent angles in a parallelogram are supplementary)

\boxed{\angle CDE=15^{\circ}} (subtraction)

\angle CED=65^{\circ} (angles in a triangle add to 180 degrees)

\boxed{\angle AEB=80^{\circ}} (angles on a straight line add to 180 degrees)

4 0
1 year ago
Mandy and karissa swam laps in the pool to train for the upcoming swim meet. The ratio to the number of laps Mandy swam to the n
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Set up a proportion.
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2x = 36. Solve for x.
x = 18.
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