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m_a_m_a [10]
3 years ago
11

Write the explicit formula for the geometric sequence. a1 = -5 a2 = 20 a3 = -80

Mathematics
1 answer:
liq [111]3 years ago
6 0
An = a1 * r^(n-1)
a1 = first term = -5
r = common ratio = -4

so ur formula is : an = -5 * -4^(n-1) <==
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Stacy uses 6 cups of sugar to make 120 brownies how many cups of sugar will she use to make 360 brownies?
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Answer:

18 cups of sugar

Step-by-step explanation:

Step 1:

120 ÷  6 = 20

Step 2:

360 ÷ 20

Answer:

18

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Solve 3n-5p+2n=10p for n
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Can someone help me with this i got the question wrong the first time so its not 7.50
Sedaia [141]

Answer: $7.6502

Step-by-step explanation:

Grape cost $1.19 per pound. 3.16 pounds are bought. The total amount paid for grape will be:

= $1.19 × 3.16

= $3.7604

Peaches cost $1.29 per pound. 1.35 pounds are bought. The total amount paid for peaches will be:

= $1.29 × 1.35

= $1.7415

Peers cost $0.99 per pound. 2.17 pounds are bought. The total amount paid for pears will be:

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4 0
3 years ago
Use the Exterior Angle Theorem to find the measure of each angle.
navik [9.2K]

Answer:

∠ C = 36°

∠ D= 81°

∠ DEC= 63°

Step-by-step explanation:

<em>The exterior angle of a triangle is equal to the sum of the interior opposite angles. </em>

<em />

∴   (11y + 4) + (5y + 1) = 117

         11y + 4 + 5y + 1 = 117

         16y + 5 = 117

         16y = 117-5

         16y = 112

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∠ C = 5×(7) + 1 = 36°

∠ D = 11×(7) + 4 = 81°

∠ DEC = 180- 117 = 63°

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7 0
3 years ago
Suppose 12% of students are veterans. From a sample of 263 students, how unusual would it be to have less than 22 veterans?
kkurt [141]

Answer:

Yes, both np and n(1-p) are ≥ 10

Mean = 0.12 ; Standard deviation = 0.02004

Yes. There is a less than 5% chance of this happening by random variation. 0.034839

Step-by-step explanation:

Given that :

p = 12% = 0.12 ;

Sample size, n = 263

np = 263 * 0.12 = 31.56

n(1 - p) = 263(1 - 0.12) = 263 * 0.88 = 231.44

According to the central limit theorem, distribution of sample proportion approximately follow normal distribution with mean of p = 0.12 and standard deviation sqrt(p*(1 - p)/n) = sqrt (0.12 *0.88)/n = sqrt(0.0004015) = 0.02004

Z = (x - mean) / standard deviation

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Z = (0.08365 - 0.12) / 0.02004

Z = −1.813872

Z = - 1.814

P(Z < −1.814) = 0.034839 (Z probability calculator)

Yes, it is unusual

0.034 < 0.05 (Hence, There is a less than 5% chance of this happening by random variation.

7 0
3 years ago
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