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DerKrebs [107]
3 years ago
5

A right rectangular prism has a length of 6 cm, a width of 2 cm, and a height of 5 cm. What is the surface area of the prism?

Mathematics
1 answer:
Furkat [3]3 years ago
4 0
The surface area of the prism is 104 centimeters squared.
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Colin invests £3500 into his bank account.
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An angle whose measure is –302° is in standard position. In which quadrant does the terminal side of the angle fall?
juin [17]

Answer: Quadrant 1 (northeast quadrant)

=================================================

Explanation:

Add on 360 degrees to do a full rotation

-302+360 = 58

So angles -302 degrees and 58 degrees are pointing in the same direction. These angles are in quadrant 1, which is the northeast quadrant

Note: because the angles -302 and 58 point in the same direction, we consider these angles to be coterminal.

3 0
3 years ago
Question Help A manufacturer ships toasters in cartons of 1010. In each​ carton, they estimate a 1010​% chance that any one of t
natta225 [31]

Answer:

The probability that there will be repair exactly 3 toaster is 0.0574.

Step-by-step explanation:

Binomial Distribution:

A discrete random variable X having the set {0,1,2,3......,n} as the spectrum, is said have a binomial distribution with parameter n= number of trials and p=probability of number of success on an individual trial, if the p.m.f (probability mass function) of X given by,

P(X=x)=C(n,x)p^x(1-p)^{n-x}    x=0,1,2,......,n

               =0                                   elsewhere

where 0<p<1 and n is a positive integer.

Total number of toaster in cartons(n) = 10.

Probability of number of success on an individual trial p= 10% = 0.10

\therefore P(X=3)= C(10,3)(0.10)^3(1-0.10)^{10-3}

                    =\frac{10!}{3!(10-3)!}(0.10)^3)(0.90)^7

                    =0.0574

The probability that there will be repair exactly 3 toaster is 0.0574.

6 0
3 years ago
Find the value of x, y, and z in the rhombus below.
Yuki888 [10]

Solution:

<u>It should be noted:</u>

  • Opposite sides of a rhombus are always equal.
  • Opposite angles of a rhombus are always equal.

<u>Thus:</u>

  • (-y - 10) = 90°
  • 3z - 3 = 90°
  • 4x - 2 = 90°

<u>Finding x:</u>

  • 4x - 2 = 90°
  • => 4x = 90 + 2
  • => 4x = 92
  • => x = 23

<u>Finding y:</u>

  • (-y - 10) = 90°
  • => -y - 10 = 90°
  • => -y = 100
  • => y = -100

<u>Finding z:</u>

  • 3z - 3 = 90°
  • => 3z = 90 + 3
  • => 3z = 93
  • => z = 31
4 0
2 years ago
Read 2 more answers
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