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3 years ago

To make a project, you need a rectangular piece of fabric

Mathematics

2 answers:

Sati [7]3 years ago

7 0

Answer:

12 ft²

Step-by-step explanation:

area = length * width

area = 4 ft * 3 ft

area = 12 ft²

Aneli [31]3 years ago

7 0

Width x length
3ft x 4ft
= 12ft

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X+20≥-7 i need help pls lollllllllllllllllllllllllll

Zina [86]

Answer:

Step-by-step explanation:

x is greater or equal to 13

7 0

2 years ago

Simplify the expression: 2(4 + 6j)

aniked [119]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{8 + 12j}}}}}$

Step-by-step explanation:

$\sf{2(4 + 6j)}$

Distribute 2 through the parentheses

$\longrightarrow{ \sf{2 \times 4 + 2 \times 6j}}$

$\longrightarrow{ \sf{8 + 12j}}$

Hope I helped!

Best regards! :D

8 0

3 years ago

Is a positive integer raised to a negative power always positive

Evgesh-ka [11]

Answer:

Yes

Step-by-step explanation:

Many students gets confused with these exponential problems, they often get misguided but understand that there is nothing to be confused of.

When you have a negative number, you just take the reciprocal of the whole exponent number.

What is a reciprocal?

Let's take an integer for example, let's take the number 3.

The reciprocal for 3 is (1/3)

Let's take an other number, let's take 2/3

The reciprocal for 2/3 is (3/2)

In conclusion, we just reverse the denominator and the numerator or just switch it.

We take 3 as (3/1) and that is the reason, the reciprocal would be (1/3)

Now, coming to the negative integers. Taking an example:

(2)⁻¹

This would be become (1/2¹) = (1/2)

Hence, the result of a negative integer is positive but would be a fraction.

Hope I helped!

3 0

3 years ago

When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

kupik [55]

Answer:

(a) 0.873 (b) 0.007 (c) 0.715 (d) 0.277 (e) 1.25 and 1.09

Step-by-step explanation:

The probability that the random variable X takes the value x is given by P(X=x) = $25Cx 0.05^x0.95^{25-x}$ . Then,

(a) $P(X\leq) = (25C0)(0.05^0)(0.95^{25}) + (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23})= 0.873$

(b) $P(X\geq5) = 1-P(X\leq4) = 1 - (0.873 + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21})) = 1 - (0.873 + 0.12) = 0.007$

(c) $P(1\leqX\leq4) = (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23}) + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21}) = 0.715$

(d) $P(X=0) = (25C0)(0.05^0)(0.95^{25}) = 0.277$

(e) E(X) = np = (25)(0.05) = 1.25 and $Sd(X) = \sqrt{Var(X)} = \sqrt{np(1-p)} = 1.09$

8 0

3 years ago

How to add mixed numbers

IgorLugansk [536]

Answer:

I suggest you convert them to improper fractions. Find a common denominator and change back to mixed number.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers