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GarryVolchara [31]
3 years ago
13

-1/2x-8=1. what does x equal​

Mathematics
1 answer:
qaws [65]3 years ago
7 0

-1/2x - 8 = 1

Add 8 to both sides:

-1/2x = 9

Multiply  both sides by -2:

x = -18

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The number of potato chips in a bag is normally distributed with a mean of 74 and and a standard deviation of 4. Approximately w
aleksklad [387]

Answer:

99.8%  is the percent of bags contain between 62 and 86 potato chips.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 74

Standard Deviation, σ = 4

We are given that the distribution of number of potato chips in a bag is a bell shaped distribution that is a normal distribution.

Formula:

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

P( bags contain between 62 and 86 potato chips)

P(62 \leq x \leq 86) = P(\displaystyle\frac{62 - 74}{4} \leq z \leq \displaystyle\frac{86-74}{4}) = P(-3 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -3)\\= 0.999 - 0.001 = 0.998 = 99.8\%

P(62 \leq x \leq 86) = 99.8\%

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3 years ago
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9 dollars represents 90% of the cost. Divide 9 by 0.90 to get the original price, 10 dollars
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In his first year, a math teacher earned $32,000. Each successive year, he
Ivan

Answer:

Step-by-step explanation:

Each successive year, he

earned a 5% raise. It means that the salary is increasing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

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r represents the common ratio.

n represents the number of terms(years).

From the information given,

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n = 20 years

The amount earned in his 20th year, T20 is

T20 = 32000 × 1.05^(20 - 1)

T20 = 32000 × 1.05^(19)

T20 = $80862.4

To determine the his total

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Sn = (ar^n - 1)/(r - 1)

Therefore, the sum of the first 20 terms, S20 is

S20 = (32000 × 1.05^(20) - 1)/1.05 - 1

S20 = (32000 × 1.653)/0.05

S20 = $1057920

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3 years ago
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