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GrogVix [38]
3 years ago
11

Solve for X: -22=-7+3/5x

Mathematics
1 answer:
stira [4]3 years ago
3 0



solution for the problem-

X=-22
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Answer:

5

Step-by-step explanation:

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 46 o
meriva

Answer:

(a) 68% of the widget weights lie between <u>43 ounces</u> and <u>49 ounces</u>.

(b) The percentage of the widget weights lie between 43 and 87 ounces is 15.87%.

(c) The percentage of the widget weights lie below 76 is 100%.

Step-by-step explanation:

Let <em>X</em> = weight of widgets manufactured by Acme Company.

The distribution of the random variable <em>X</em> is, N (<em>μ </em>= 46, <em>σ</em>²<em> </em>=<em> </em>3²).

According to the Empirical Rule in a normal distribution with mean <em>µ</em> and standard deviation <em>σ</em>, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be broken into three parts:

  • 68% data falls within 1 standard deviation of the mean.                       That is P (µ - σ ≤ X ≤ µ + σ) = 0.68.
  • 95% data falls within 2 standard deviations of the mean.                   That is P (µ - 2σ ≤ X ≤ µ + 2σ) = 0.95.
  • 99.7% data falls within 3 standard deviations of the mean.                   That is P (µ - 3σ ≤ X ≤ µ + 3σ) = 0.997.

(a)

According to the Empirical rule, 68% data falls within 1 standard deviation of the mean.

P (µ - σ ≤ X ≤ µ + σ) = 0.68.

Compute the upper and lower values as follows:

<em>µ</em> - <em>σ</em> = 46 - 3 = 43 ounces

<em>µ</em> + <em>σ</em> = 46 + 3 = 49 ounces

Thus, 68% of the widget weights lie between <u>43 ounces</u> and <u>49 ounces</u>.

(b)

Compute the probability of the widget weights lie between 43 and 87 ounces as follows:

P(43

                          =P(-1

*Use a <em>z</em>-table.

The percentage is, 0.1587 × 100 = 15.87%.

Thus, the percentage of the widget weights lie between 43 and 87 ounces is 15.87%.

(c)

Compute the probability of the widget weights lie below 76 as follows:

P(X

                  =P(Z

*Use a <em>z</em>-table.

The percentage is, 1 × 100 = 100%.

Thus, the percentage of the widget weights lie below 76 is 100%.

8 0
3 years ago
The eighth grade class is planning a trip to Washington DC this spring. They need a minimum of 75 people to attend in order to r
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Answer:

I don't know I'm kinda lost. but I got 126

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3 years ago
Match the verbal expression (term) with its algebraic expression (definition).
UkoKoshka [18]

The matching of definitions and terms are done below.

  1. Some number increased by two ⇒ b + 2
  2. A variable decreased by two ⇒ x – 2
  3. Product of an unknown value and two ⇒ 2z
  4. Quotient of some number and two ⇒ a ÷ 2
  5. An unknown value squared ⇒ y²

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Match the verbal expression (term) with its algebraic expression (definition).

Some number increased by two ⇒ b + 2

A variable decreased by two ⇒ x – 2

Product of an unknown value and two ⇒ 2z

Quotient of some number and two ⇒ a ÷ 2

An unknown value squared ⇒ y²

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

6 0
2 years ago
Another question, what is 94939423^2 have fun!
Bas_tet [7]
The answer is 9,013,494,039,572,928 :)
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