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Lena [83]
3 years ago
12

What is the gcf of 15ab and 18b

Mathematics
1 answer:
lidiya [134]3 years ago
7 0

Answer:

270a^2b^2

Step-by-step explanation:

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Figure ABCD is a parallelogram. Is it also a rhombus? why or why not?
Pavlova-9 [17]

Answer:

Brainliest!!

Step-by-step explanation:

In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length.

-Wikipedia

See picture

5 0
3 years ago
Read 2 more answers
Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean
Zinaida [17]

Answer:

E[R] = 99 Ω

\sigma_R = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, E[R] = \frac{a+b}{2}  = \frac{95+103}{2} = \frac{198}{2} = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333

Hence,

The standard deviation of resistance, \sigma_R = \sqrt{V(R)} = \sqrt5.333 = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

z_1 = \frac{102-99}{2.3094} = 1.299

z_2 = \frac{98-99}{2.3094} = -0.433

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

5 0
3 years ago
A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4​ unit. How many 1/4 unit cubes
34kurt

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

4 0
3 years ago
Read 2 more answers
What percent of 33 is 96
Nataly_w [17]
<span>96/x=100/33
(96/x)*x=(100/33)*x       - we multiply both sides of the equation by x
96=3.0303030303*x       - we divide both sides of the equation by (3.0303030303) to get x
96/3.0303030303=x 
31.68=x 
x=31.68

now we have: 
33% of 96=31.68

</span>
3 0
3 years ago
A school cafeteria uses 10
gladu [14]

Using proportions, it is found that there are 5 cups of milk in each bowl of chocolate pudding.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The cafeteria used 10 quarts for 8 bowls, hence the number of quarts per bowl is:

10/8 = 1.25

Each quart has 4 cups, hence the number of cups is:

4 x 1.25 = 5 cups.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
2 years ago
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