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3 years ago

Use the distributive property to solve the following equation: 2 + 4(2z + 3) = 15

Mathematics

2 answers:

enyata [817]3 years ago

6 0

Answer:

8z+12

Step-by-step explanation:

pickupchik [31]3 years ago

6 0

<h2><u><em>Answer:</em></u></h2><h2><u><em>z=18</em></u></h2><h2><u><em>Step-by-step explanation:</em></u></h2><h2><u><em>2+4(2z+3)=15</em></u></h2><h2><u><em>Step 1: Simplify both sides of the equation.</em></u></h2><h2><u><em>2+4(2z+3)=15</em></u></h2><h2><u><em>2+(4)(2z)+(4)(3)=15(Distribute)</em></u></h2><h2><u><em>2+8z+12=15</em></u></h2><h2><u><em>(8z)+(2+12)=15(Combine Like Terms)</em></u></h2><h2><u><em>8z+14=15</em></u></h2><h2><u><em>8z+14=15</em></u></h2><h2><u><em>Step 2: Subtract 14 from both sides.</em></u></h2><h2><u><em>8z+14−14=15−14</em></u></h2><h2><u><em>8z=1</em></u></h2><h2><u><em>Step 3: Divide both sides by 8.</em></u></h2><h2><u><em>8z8=18z=18</em></u></h2>

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A sample of men's heights was taken and the mean was 68.8 inches. The standard deviation is 2.8 inches. What percent of the men

jarptica [38.1K]

Answer:

87.29%

Step-by-step explanation:

Given: Mean= 68.8 inches

Standard deviation= 2.8 inches

Now, finding the percent of the men in the sample were greater than 72 inches.

We know, z-score= $\frac{x-mean}{standard\ deviation}$

z-score= $\frac{72-68.8}{2.8}$

⇒ z-score= $\frac{3.2}{2.8} = 1.14$

∴ z-score= 1.14

Next, using normal distribution table to find percentage.

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3 years ago

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Andre45 [30]

Answer:

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Step-by-step explanation:

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2 years ago

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anzhelika [568]

Amount Financed(P) = $ 128,000

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Amount after 15 years translates to,

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Rose and Andrew has taken four points to lower their rate to 4.81% .

Amount after 15 years translates to, if rate of interest is 4.83 %

${\text{Using the formula}} P(1+\frac{R}{100})^n\\\\ 128,000(1 +\frac{4.83}{100})^{15}\\\\ =128,000 \times (1.0483)^{15}\\\\=128,000 \times 2.0290\\\\=259713.0404$

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Y=4/11x-1

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