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4 years ago

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A restaurant that can hold 300 people is divided into 20 equal parts how many people can be put in each section A restaurant tha

t can hold 300 people is divided into 20 equal parts how many people can be put in each section

1 answer:

Stolb23 [73]4 years ago

6 0

Answer:

15

Step-by-step explanation:

Because 15 * 20 = 300

- Hope that helps

-please say thank you and add brainless

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At a local University, it is reported that 81% of students own a wireless device. If 5 students are selected at random, what is

Sphinxa [80]

Answer:

34.87% probability that all 5 have a wireless device

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they own a wireless device, or they do not. The probability of a student owning a wireless device is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

81% of students own a wireless device.

This means that $p = 0.81$

If 5 students are selected at random, what is the probability that all 5 have a wireless device?

This is P(X = 5) when n = 5. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{5,5}.(0.81)^{5}.(0.19)^{0} = 0.3487$

34.87% probability that all 5 have a wireless device

5 0

3 years ago

Help me please and thank you

NeTakaya

Answer:

use formula

area =1/4*π*d^2

81π=1/4*π*d^2(here two pie gets cancel)

81=1/4*d^2

81*4=d^2

$\sqrt{324}$ =d

18=d

Step-by-step explanation:

5 0

3 years ago

the hypotenuse of a 45-45-90 triangle has a length of 10 units. what is the length of one of its legs?

SIZIF [17.4K]

When a triangle is a 45-45-90 triangle, the following rules apply:

-the 2 legs are equal lengths
- the length of the hypotenuse is: the square root of 2 x the length of a leg.
- the length of the leg is: hypotenuse divided by the square root of 2.

if the hypotenuse is 10, then 10 divided by the square root of 2 is how you find the leg.
the square root of 2 is <span>1.41421356237.
10 divided by </span>1.41421356237 is <span>7.07106781188, which can be rounded to about 7.1. The length of one leg is about 7.1 units!</span>

6 0

3 years ago

Which linear inequality is represented by the graph?

SIZIF [17.4K]

The correct answer is B: y ≥ 1/3x - 1

(0,0) ⇒ within the shaded area

0 ≥ 1/3(0) - 1
0 ≥ 0 - 1
0 ≥ -1
True

(0, -3) ⇒ not within the shaded area

-3 ≥ 1/3(0) -1
-3 ≥ 0 - 1
-3 ≥ -1
False

4 0

4 years ago

Read 2 more answers

KLMN - parallelogram LF ⊥ KN , LD ⊥ NM m∠FLD = 35° Find: Angles of KLMN

sertanlavr [38]

The question is four parts, It is required the angles of <span>parallelogram KLMN
</span><span>
</span>So, It is required ⇒ ∠K , ∠L , ∠M and ∠N
See the attached figure which represents the explanation of the problem
========================
Part (1): Find ∠N:
==============
in the shape FLDN
<span>∵ LF ⊥ KN ⇒⇒⇒ ∴ ∠LFN = 90°</span><span>
</span>∵ <span>LD ⊥ NM ⇒⇒⇒ ∴ ∠LDN = 90°</span><span>
</span>∵ The sum of all angels of FLDN = 360°
∵ <span>∠FLD = 35°</span><span>
</span>∴ ∠FLD + <span>∠LDN + ∠DNF + </span><span>∠LFN = 360°</span><span>
</span>∴ 35° + 90° + <span>∠DNF + 90° = 360°</span><span>
</span>∴ ∠DNF = 360° - ( 90° + 90° + 35°) = 360° - 215<span>° = 145°
</span>
∴ The measure of angle N = 145°
=============================
Part (2): Find ∠M:
==============
∵ KLMN is <span>parallelogram , ∠N = 145°</span>
∴ The angles N and M are supplementary angles ⇒ property of the parallelogram
∴ ∠M + ∠N = 180°
∴ ∠M = 180° - ∠N = 180° - 145° = 35°

∴ The measure of angle M = 35°

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

Part (3): Find ∠L:
==============
∵ KLMN is parallelogram , ∠M = 35°
∴ The angles N and M are supplementary angles ⇒ property of the parallelogram
∴ ∠M + ∠KLM = 180°
∴ ∠KLM = 180° - ∠M = 180° - 35° = 145°
OR ∠KLM = ∠N = 145° ⇒⇒⇒ property of the parallelogram

∴ The measure of angle KLM = 145°
===================================

Part (4): Find ∠K:
==============∵ KLMN is parallelogram , ∠N = 35°
∴ The angles N and M are supplementary angles ⇒ property of the parallelogram
∴ ∠K + ∠N = 180°
∴ ∠K = 180° - ∠N = 180° - 145° = 35°
OR ∠K = ∠M = 35° ⇒⇒⇒ property of the parallelogram

∴ The measure of angle K = 35°

6 0

3 years ago