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4 years ago

Simply the expression -10 + 5y + 2x- 6y

Mathematics

1 answer:

algol [13]4 years ago

5 0

Answer: 2x−y−10

Step-by-step explanation:

Simplify the expression.

2x*1 = 2x

6y-5y = 1y = y

10 = 10

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If f(x)=x+4 and g(x)=x^3 what is (g*f)(-3)

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Step-by-step explanation:

g*f(x)=g(x+4)=(x+4)³

g*f(-3)=(-3+4)³

= 1³=1

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3 years ago

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3 years ago

Jim’s backyard is 15 5/6 long and 10 2/5 wide. Jim buys sod in pieces that are 1 1/3 long and 1 1/3 wide. How many pieces of sod

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2 years ago

Read 2 more answers

Find the quotient of 13 ÷ 43.

Troyanec [42]

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3 years ago

Jiffy Mix in Chelsea, Michigan has a machine that fills the Jiffy Corn Muffin Mix boxes with Mix. It dispenses corn muffin mix w

gregori [183]

Answer:

(b) The middle 68% of Jiffy Corn Muffin Mix boxes contain between 9.90 ounces and 10.10 ounces of corn muffin mix.

(c) The percentage of Jiffy Corn Muffin Mix boxes containing more than 10.3 ounces or less than 9.7 ounces of corn muffin mix is 16%.

(d) The percentage of iffy Corn Muffin Mix boxes containing more than 10.2 ounces of corn muffin mix is 2.3%.

(e) The percentage of Jiffy Corn Muffin Mix boxes containing less than 10.1 ounces of corn muffin mix is 84%.

Step-by-step explanation:

Let the random variable X be defined as the amount of corn muffin mix in a Jiffy Corn Muffin Mix box.

The random variable X follows a Normal distribution with mean, μ = 10.0 ounces and standard deviation, σ = 0.10 ounces.

(b)

According to the Empirical rule, 68% of the data from a Normal distribution lies within one standard deviation of mean.

That is:

P (x₁ < X < x₂) = 0.68

P (μ - σ < Z < μ + σ) = 0.68

Then,

P (10.0 - 0.10 < Z < 10.0 + 0.10) = 0.68

P (9.90 < Z < 10.10) = 0.68

Thus, the middle 68% of Jiffy Corn Muffin Mix boxes contain between 9.90 ounces and 10.10 ounces of corn muffin mix.

(c)

Compute the probability that Jiffy Corn Muffin Mix boxes contain more than 10.3 ounces or less than 9.7 ounces of corn muffin mix as follows:

P (X > 10.3 ∪ X < 9.7) = 1 - P (9.7 < X < 10.3)

$=1-P(\frac{9.7-10.0}{0.10}$

Thus, the percentage of Jiffy Corn Muffin Mix boxes containing more than 10.3 ounces or less than 9.7 ounces of corn muffin mix is 16%.

(d)

Compute the probability of Jiffy Corn Muffin Mix boxes contain more than 10.2 ounces of corn muffin mix as follows:

$P(X>10.2)=P(\frac{X-\mu}{\sigma}>\frac{10.20-10.0}{0.10})$

$=P(Z>2)\\=1-P(Z$

Thus, the percentage of iffy Corn Muffin Mix boxes containing more than 10.2 ounces of corn muffin mix is 2.3%.

(e)

Compute the probability that a randomly selected Jiffy Corn Muffin Mix box contains less than 10.1 ounces of corn muffin mix as follows:

$P(X$

$=P(Z$

Thus, the percentage of Jiffy Corn Muffin Mix boxes containing less than 10.1 ounces of corn muffin mix is 84%.

3 0

4 years ago