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1 year ago

Find the mid point of points A (-8, -8) and B (-1, -3) graphically its deltamath

Mathematics

1 answer:

Misha Larkins [42]1 year ago

7 0

-4.5,-5.5

Step-by-step explanation:

-8-1/2 , -8-3/2

=-4.5 , -5.5 (midpoint)

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How many miligrams are equal to 0.5 grams

Serga [27]

Answer:

500 Milligrams

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2 years ago

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What is 4\5 times 60

ArbitrLikvidat [17]

We meet again
so first divide 60 by 5
this gives 12
then multiply 12 by 4
giving a final answer of 48

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2 years ago

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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 $Sd(X) = \sqrt{Var(X)} = \sqrt{np(1-p)} = 1.09$

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2 years ago

Which equation justifies why nine to the one third power equals the cube root of nine?

AVprozaik [17]

Answer:

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Step-by-step explanation:

we know that

The <u><em>Power of a Power Property</em></u> , states that :To find a power of a power, multiply the exponents

$(a^{b})^{c}=a^{b*c}$

In this problem we have

$9^{\frac{1}{3}} =\sqrt[3]{9}$

Remember that

$\sqrt[3]{9}=9^{\frac{1}{3}}$

Raise to the third power

$[9^{\frac{1}{3}}]^3$

Applying the power of power property

$9^{\frac{3}{3}}$

$9^{1}$

$9$

therefore

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

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2 years ago

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Find the measures of each angle in the triangle.

Rufina [12.5K]

We use 2 different rules here:

1) sum of angles in a triangle is equal to 180 degrees

2) when a triangle side is a diameter of the circle, then angle opposite to diameter is equal to 90 degrees.

so from 2) we know that B= 90

then from first one:

sum of angles = 180 = 90 + (3x + 6) + x = 96 + 4x

so 180 - 96 = 4x
so x = 84/4
x = 21

so answer is
A= 3x+ 6 = 63 + 6 = 69
B = 90
C = 21

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2 years ago