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2 years ago

9

During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall. On Saturday, 1,210 peopl

e visited the mall. On Sunday, 1,814 visited the mall. How many people received a gift card?

1 answer:

Talja [164]2 years ago

7 0

Answer:

37

Step-by-step explanation:

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The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probabi

katrin [286]

Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt) multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

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2 years ago

باستعمال log4 2=0.5 فإن قيمة log4 32 هي

11Alexandr11 [23.1K]

Answer:

$\mathbf{\log_432}=2.5$

Step-by-step explanation:

$\log_42=0.5$

حن بحاجة إلى إيجاد $\log_432$

دع $\log_432=x$

$\log_42\times 2\times 2\times 2\times 2=x$

$\Rightarrow x=\log_42^5$

$\Rightarrow x=5\log_42$ $[\because \log_ab^x=x\log_ab]$

$\Rightarrow x=5\times0.5$

$\Rightarrow x=2.5$

$\mathbf{\therefore\log_432=2.5}$

7 0

2 years ago

7 girls audition for 12 roles in a school play. What is the probability that at least 2 of the girls audition for the same part?

Sophie [7]

Answer:

Step-by-step explanation:

This is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.

Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!

The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is

(12!/5!)/12^7 = 12!/(12^7 5!)

Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:

1 - 12!/(12^7 5!)

6 0

2 years ago

ΔABC and ΔXYZ are similar triangles. If BC = x + 7, AC = x + 6, YZ = 4 − x, and XZ = 3 − x, find the value of x.

Montano1993 [528]

I believe the answer is B) -3/2 or -1.5.

Please give a heart and rating if this is right!

3 0

2 years ago

Read 2 more answers

In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, Measure of angle G = 80 degrees, and Measure of angle H = 55 degrees. If Triangle A

aalyn [17]

Question:

In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, m angle G=80 degrees, and m angle H=55 degrees. If triangle ABC GHF, which statement is true?

(A) AB = 12.3 cm

(B) AB = 10.6 cm

(C) m∠C = 55°

(D) m∠C = 80°

Answer:

Option B:

AB = 10.6 cm

Solution:

The image of the triangle is attached below.

In ΔFGH,

FG = 12.3 cm, GH = 10.6 cm, m∠G = 80° and m∠H = 55°

Option A: AB = 12.3 cm

Given ΔGHF $\sim$ ΔABC.

Corresponding parts of congruence triangles are congruent.

GH = AB = 10.6 cm

So, option A is not true.

Option B: AB = 10.6 cm

Already proved in option A that AB = 10.6 cm

So, option B is true.

Option C: m∠C = 55°

ΔGHF $\sim$ ΔABC

Corresponding parts of congruence triangles are congruent.

m∠G = m∠A = 80°

m∠H = m∠B = 55°

Sum of the angles of a triangle = 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 80° + 55° + m∠C = 180°

⇒ m∠C = 180° – 80° – 55°

⇒ m∠C = 45°

So, option C is not true.

Option D: m∠C = 80°

Already proved in option C that m∠C = 45°.

So, option D is not true.

Hence option B is the true statement that AB = 10.6 cm.

7 0

2 years ago

Read 2 more answers