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Sever21 [200]
2 years ago
13

AA display has 666 packs of marbles with a total mass of 629\,\text{g}629g629, start text, g, end text. The packaging of each pa

ck has a mass of \dfrac{2}{3}\,\text{g} 3 2 ​ gstart fraction, 2, divided by, 3, end fraction, start text, g, end text and each marble has a mass of 4\dfrac{1}{2}\,\text{g}4 2 1 ​ g4, start fraction, 1, divided by, 2, end fraction, start text, g, end text. Which equation can we use to determine mmm, the number of marbles per pack?
Mathematics
1 answer:
Margarita [4]2 years ago
8 0

Answer:

option D

Step-by-step explanation:

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If X is a normal random variable with parameters µ = 10 and σ 2 = 36, compute
alex41 [277]

Answer:

Step-by-step explanation:

Given that X is a normal random variable with parameters µ = 10 and σ 2 = 36,

X is N(10, 6)

Or z = \frac{x-10}{6}

is N(0,1)

a)  P(X > 5),

=P(Z>-0.8333)\\=0.7977

(b) P(4 < X < 16),

=P(|z|

(c) P(X < 8),

=P(Z

(d) P(X < 20),

=P(Z

(e) P(X > 16).

=P(Z>-0.6667)

= 0.2524

6 0
2 years ago
Find the length of side AB<br> Give answer to 3 significant figures
Rina8888 [55]

Answer:

AB = 8.857 cm

Step-by-step explanation:

Here, we are given a <em>right angle</em> \triangle ABC in which we have the following things:

\angle A = 90 ^\circ\\\angle C = 41 ^\circ\\\text{Side }BC = 13.5 cm

Side <em>BC </em>is the hypotenuse here.

We have to find the side <em>AB</em>.

Trigonometric functions can be helpful to find the value of Side AB here.

Calculating \angle B:

Sum of all the angles in \triangle ABC is 180^\circ.

\Rightarrow \angle A + \angle B + \angle C = 180^\circ\\\Rightarrow 90^\circ + \angle B + 41^\circ = 180^\circ\\\Rightarrow \angle B = 49^\circ

We know that <em>cosine </em>of an angle is:

cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\Rightarrow cos B = \dfrac{AB}{BC}\\\Rightarrow cos 49^\circ = \dfrac{AB}{13.5}\\\Rightarrow AB = 13.5 \times 0.656\\\Rightarrow AB = 8.857 cm

So, side AB = 8.857 cm .

6 0
2 years ago
Please help fast
lions [1.4K]
C. A chord because a chord is a line segment with 2 end points
5 0
2 years ago
What is the best approximation of the projection of (2,6) onto (5,-1)
Darya [45]

Answer:

0.15(5,-1)

Step-by-step explanation:

\frac{v_{1} * v_{2} }{|v_{2}|^{2} }*v_{2}  ⇒ \frac{(2)(5)+(6)(-1)}{\sqrt{5^2+(-1)^2} }(5,-1) ⇒  \frac{4}{26} (5,-1)  ⇒  0.15(5,-1)

5 0
2 years ago
How can we find how many inches wide the coat box is?
Alex777 [14]

Answer:

First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.

Option A is correct.

Step-by-step explanation:

The total width of box is = 32.476

Width of box of T-shirts = 15.438

Width of box of Socks = 3.18

We need to find width of coat box.

The width of coat box can be found as:

Total Width = Width of box of T-shirts + Width of box of Socks + width of coat box

32.476 = 15.438 + 3.18 + width of coat box

32.476 = 18.618 + width of coat box

width of coat box= 32.476 - 18.618

width of coat box = 13.858

So, The Width of coat box = 13.858 inches

First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.

Option A is correct.

5 0
2 years ago
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