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vodomira [7]
3 years ago
5

Solve for x: 4(x-5) 8 =9y x = [?]y+[ ]

Mathematics
1 answer:
Katarina [22]3 years ago
3 0

Answer:

Step-by-step explanation:

Ok so this is it, then:

\frac{4(x-5)}{8}=9y First distribute the 4 into the parenthesis to get rid of them.  This gives you:

\frac{4x-20}{8}=9y Now undo the division of 8 by multiplying both sides by 8 to get:

4x - 20 = 72y  Add 20 to both sides to get:

4x = 92y so

x = 23y

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The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. F
musickatia [10]

Answer:

P(X \geq 1)=1-P(X

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

X \sim Binom(n=2, p=0.01)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(x \geq 1)=1-P(X

And we can find the probability:

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

5 0
3 years ago
What is the decimal of 1/2
vodomira [7]

Answer:

.5

Step-by-step explanation:

1 half of any thing is 50 percent and 50 percent is written as a decimal when you move the decimal point twice to the left giving you .5

6 0
3 years ago
Read 2 more answers
The circumference of a circle is 29.83 cm. What are the radius and diameter, respectively? Use 3.14 for pi.
nasty-shy [4]

Answer:

Diameter: 9.5

Radius: 4.75

Step-by-step explanation:

To find the diameter you divide the circumference by pi(3.14) and to find radius you divide the diameter by 2 since the radius is half of the diameter.

Hope this helps you

7 0
2 years ago
How long will it take $3000 to earn $900 interest at 6% simple interest?
a_sh-v [17]

Answer:

5 years

Step-by-step explanation:

3000x.06=180 interest per year.

900/180 =5 years to earn 900 interest.

4 0
3 years ago
Please help me: Ten athletes ran two races of the same length. The scatter plot shows their times. Identify each of these statem
Lemur [1.5K]

The scatter plot has been attached

Answer:

Options C, D & E are true

Step-by-step explanation:

Option A is wrong because from the scatter plot, only four athletes were faster in the second race than in the first one.

Option B is wrong because only 1 athlete had his second race time differing from the first race time by exactly 2 seconds.

Option C is true because exactly 9 of the times for the first race were at least 16 seconds

Option D is true because there are exactly 3 athletes who had the same time in both races

Option E is true because 8 of the times for the second race were less than 17 seconds

4 0
3 years ago
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