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Ket [755]
1 year ago
13

A shipment of 10 computers contains 2 with defects. Find the probability that a sample of size 2​, drawn from the ​10, will not

contain a defective computer.

Mathematics
1 answer:
Mrrafil [7]1 year ago
8 0

Answer:

\frac{28}{45} .

Step-by-step explanation:

way_1:

according to the condition the probability for the 1st computer is 8/10=4/5;

for the 2d computer is 7/9. Then the final probability is P=4/5 * 7/9=28/45;

way_2:

the required probability can be calculated according the formula:

P=\frac{no-cases}{total-cases};

then

P=\frac{C^2_8}{C^2_{10}} =\frac{2!8!8!}{2!6!10!}=\frac{28}{45} .

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At the movie theatre, child admission is $5.10 and adult admission is $9.00 .
sveticcg [70]

Answer:

5.10 X +9.00 Y = 831.60

We also know that for Wedneday we have two times tickets for adults compared to child so we have

Y =2x

And using this condition we have:

5.10 X + 18 X = 831.60

And solving for X we got:

X= \frac{831.60}{23.1}=36

So then the number of tickets sold for child are 36

Step-by-step explanation:

For this problem we can set upt the following notation

X = number of tickets for child

Y= number of tickets for adults

And we know that the total revenue  for Wednesday was 831.60. So then we can set up the following equation for the total revenue

5.10 X +9.00 Y = 831.60

We also know that for Wedneday we have two times tickets for adults compared to child so we have

Y =2x

And using this condition we have:

5.10 X + 18 X = 831.60

And solving for X we got:

X= \frac{831.60}{23.1}=36

So then the number of tickets sold for child are 36

8 0
3 years ago
nancy started the year with $425 in the bank and is saving $25 a week. Seamus started the year with $875 and is spending $15 a w
Goryan [66]

They will have same amount in 45 weeks.

Step-by-step explanation:

Given,

Starting amount of Nancy = $425

Per week saving = $25

Let,

x represent the number of weeks.

N(x) = 25x+425

Starting amount of Seamus = $875

Per week saving = $15

S(x) = 15x+875

For same amount;

N(x) = S(x)

25x+425=15x=875\\25x-15x=875-425\\10x=450

Dividing both sides by 10

\frac{10x}{10}=\frac{450}{10}\\x=45

They will have same amount in 45 weeks.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/9738996
  • brainly.com/question/9729310

#LearnwithBrainly

3 0
3 years ago
determine the maximum or minimum of the quadratic function. express your answer in the form (x,y) and using decimals rounded to
kolezko [41]

We are given the following quadratic equation

f(x)=2x^2+7x-10

The vertex is the maximum/minimum point of the quadratic equation.

The x-coordinate of the vertex is given by

h=-\frac{b}{2a}

Comparing the given equation with the general form of the quadratic equation, the coefficients are

a = 2

b = 7

c = -10

h=-\frac{b}{2a}=-\frac{7}{2(2)}=-\frac{7}{4}=-1.75

The y-coordinate of the vertex is given by

\begin{gathered} f(x)=2x^2+7x-10 \\ f(-1.75)=2(-1.75)^2+7(-1.75)-10 \\ f(-1.75)=2(3.0625)^{}-12.25-10 \\ f(-1.75)=6.125^{}-12.25-10 \\ f\mleft(-1.75\mright)=-16.13 \end{gathered}

This means that we have a minimum point.

Therefore, the minimum point of the given quadratic equation is

(-1.75,-16.13)

7 0
10 months ago
Read 2 more answers
BRAINLIEST!!<br> 1. Verify which of the following are identities.
grigory [225]

Answer:

both the equations are identities

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the value of 15C2?
zaharov [31]
This is just 15 molecules of C2 or carbon dioxide
7 0
2 years ago
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