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3 years ago

Solve the following equation by using the addition principle. Check the solution.

Mathematics

2 answers:

Oliga [24]3 years ago

8 0

Step-by-step explanation:

$- \frac{4}{5} + y = - \frac{1}{4} \\ y = \frac{ - 1}{4} + \frac{4}{5} \\ y = \frac{ - 5 + 16}{20} \\ y = \frac{11}{20}$

$y = \frac{11}{20}$

omeli [17]3 years ago

3 0

Answer:

y = 11/20

Step-by-step explanation:

-4/5 + y = -1/4

Add 4/5 to each side

-4/5 +4/5 + y = -1/4+4/5

y = -1/4 + 4/5

Get a common denominator

y = -1/4 *5/5 + 4/5 *4/4

y = -5/20 + 16/20

y = 11/20

Check

-4/5 +11/20 = -1/4

Get a common denominator

-4/5*4/4 + 11/20 = -1/4*5/5

-16/20 +11/20 = -5/20

-5/20 = - 5/20

Check

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What is the area of the cross section if the length is 12 cm and the width is 10 cm?

VARVARA [1.3K]

Answer:

120 cm²

Step-by-step explanation:

From the question;

Length is 12 cm
Width is 10 cm

We are required to determine the area of the cross section;

Note that the cross section is the plane of a solid that remains constant through the solid.
In this case, the cross section is a rectangle whose dimensions are 12 cm by 10 cm.

But Area of a rectangle = Length × Width

Therefore;

Area of cross section = 12 cm × 10 cm

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Thus, area of the cross section is 120 cm²

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3 years ago

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mariarad [96]

Answer:

1. 500

2. 126

3. 615

Step-by-step explanation:

Area of a parallelogram formula: A = bh

20 x 25 = 500

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3 years ago

Read 2 more answers

Assume that thermometer readings are normally distributed with a mean of degrees and a standard deviation of 1.00degrees C. A th

Andrew [12]

Answer:

0.2684 is the probability that the temperature reading is between 0.50 and 1.75.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 0 degrees

Standard Deviation, σ = 1 degrees

We are given that the distribution of thermometer readings is a bell shaped distribution that is a normal distribution.

Formula:

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

P(Between 0.50 degrees and 1.75 degrees)

$P(0.50 \leq x \leq 1.75)\\\\ = P(\displaystyle\frac{0.50 - 0}{1} \leq z \leq \displaystyle\frac{1.75-0}{1})\\\\ = P(0.50 \leq z \leq 1.75)\\= P(z \leq 1.75) - P(z < 0.50)\\= 0.9599 - 0.6915 = 0.2684 = 26.84\%$