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cestrela7 [59]
3 years ago
13

4.35 divided by 5? does anyone know??????

Mathematics
1 answer:
Dvinal [7]3 years ago
5 0
.87 is correct you can always check your work with an online calculator. :)

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Does combine mean add?
spin [16.1K]
Combine does mean add
7 0
3 years ago
The computers of nine engineers at a certain company are to be replaced. Four of the engineers have selected laptops and the oth
Gala2k [10]

Answer:

(a) There are 70 different ways set up 4 computers out of 8.

(b) The probability that exactly three of the selected computers are desktops is 0.305.

(c) The probability that at least three of the selected computers are desktops is 0.401.

Step-by-step explanation:

Of the 9 new computers 4 are laptops and 5 are desktop.

Let X = a laptop is selected and Y = a desktop is selected.

The probability of selecting a laptop is = P(Laptop) = p_{X} = \frac{4}{9}

The probability of selecting a desktop is = P(Desktop) = p_{Y} = \frac{5}{9}

Then both X and Y follows Binomial distribution.

X\sim Bin(9, \frac{4}{9})\\ Y\sim Bin(9, \frac{5}{9})

The probability function of a binomial distribution is:

P(U=k)={n\choose k}\times(p)^{k}\times (1-p)^{n-k}

(a)

Combination is used to determine the number of ways to select <em>k</em> objects from <em>n</em> distinct objects without replacement.

It is denotes as: {n\choose k}=\frac{n!}{k!(n-k)!}

In this case 4 computers are to selected of 8 to be set up. Since there cannot be replacement, i.e. we cannot set up one computer twice or thrice, use combinations to determine the number of ways to set up 4 computers of 8.

The number of ways to set up 4 computers of 8 is:

{8\choose 4}=\frac{8!}{4!(8-4)!}\\=\frac{8!}{4!\times 4!} \\=70

Thus, there are 70 different ways set up 4 computers out of 8.

(b)

It is provided that 4 computers are randomly selected.

Compute the probability that exactly 3 of the 4 computers selected are desktops as follows:

P(Y=3)={4\choose 3}\times(\frac{5}{9})^{3}\times (1-\frac{5}{9})^{4-3}\\=4\times\frac{125}{729}\times\frac{4}{9}\\  =0.304832\\\approx0.305

Thus, the probability that exactly three of the selected computers are desktops is 0.305.

(c)

Compute the probability that of the 4 computers selected at least 3 are desktops as follows:

P(Y\geq 3)=1-P(Y

Thus, the probability that at least three of the selected computers are desktops is 0.401.

6 0
3 years ago
Need help the sum of two numbers is 12. One number is prime and the other number is composite. What are the numbers
morpeh [17]
There are a couple of answers, it could be 2+10 or 3+9
5 0
3 years ago
Solve -9.4 &gt; 1.7x + 4.2. I need this ASAP
Marat540 [252]

Hello.

We are solving -9.4 > 1.7x + 4.2.

First we need to swap sides:

1.7x + 4.2 = -9.4

Now we need to subtract 4.2 from both sides.

1.7x + 4.2 = -9.4

        -4.2 .  -4.2

Now let's combine -4.2 + 4.2 which is 0.

We get 1.7x < -9.4 - 4.2

Now let's divide both sides by 1.7

1.7x | -13.6

1.7     1.7

x < -13.6

      1.7

So we just divided to get x < -8.

3 0
3 years ago
Read 2 more answers
Sarah is saving to buy a new phone. She needs $150, and she has already saved $63. Write an equation to model this situation. Le
goblinko [34]

Answer: 150-x=63$

Step-by-step explanation:

to solve most missing number equations using addition or subtraction its usually pretty simple

1. figure out the first number. the first number is usually the goal amount. so 150

2. were do i put x? in an equation 150-63 would equal the amount she needs. so when you subtract x from 150 you'd get 63. you already know the goal number 150 goes first and the equation equals 63 so x is going to be whats subtracted from 150

3. put it all together 150(goal)-x(unknown number)=63(the amount she already had)

4.solve 150-87=63

5.check your work 150-63=87

7 0
3 years ago
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