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kumpel [21]
2 years ago
9

Find the value of x.

Mathematics
2 answers:
loris [4]2 years ago
8 0

Answer:

4.5

Step-by-step explanation:

4x+6 = 6x-3

3+6 = 6x-4x

9 = 2x

X =4.5

Gemiola [76]2 years ago
5 0
The answer is D. 4.5
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Since 3 ounces=21 g of protein, you would multiply 21 g x 3, because 6 ounces would = 42g. using that principle 3×3 = 9 & 21×3 = 63.
4 0
3 years ago
Store A advertises a sale for 3 loaves of bread for $5.94. Explain how to use an equivalent rate to find the unit price of the b
rewona [7]
5.94/3= 1.98

Each loaf of bread cost $1.98.

Hope this helps!
6 0
3 years ago
Read 2 more answers
A restaurant manager states the number of customers that enter the restaurant is equal to 4 times the number of people that buy
yarga [219]

Answer:

26 customers

Step-by-step explanation:

Represent customers entering as y and those buying hot dogs as x

y = 4x + 9

y = 3x + 35

Required

Determine the number of people buying hotdogs (x)

Substitute 4x + 9 for y in the second equation

4x + 9 = 3x + 35

Collect Like Terms

4x - 3x = 35 - 9

x = 26

5 0
3 years ago
6. Assume that a component passes a test is 0.85 and that components perform independently. What is the probability that the thi
Tanzania [10]

Answer:

3.90% probability that the third failure will occur on the tenth component tested

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it fails, or it does not fail. Components perform independently. 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.

Assume that a component passes a test is 0.85

So they fail with probability of p = 1 - 0.85 = 0.15

What is the probability that the third failure will occur on the tenth component tested

First 9 components: Two failures, that is, P(X = 2) when n = 9.

10th component: Failure with probability 0.15.

So

P = 0.15P(X = 2)

In which

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

P(X = 2) = C_{9,2}.(0.15)^{2}.(0.85)^{7} = 0.2597

So

P = 0.15P(X = 2) = 0.15*0.2597 = 0.0390

3.90% probability that the third failure will occur on the tenth component tested

5 0
3 years ago
If the mean is 4, what is the missing number of the data set: 3, 4, ___, 7, 2, 1.
kodGreya [7K]

Answer:

7

Step-by-step explanation:

Let the missing number of the data be x.

\because mean =  \frac{3 + 4 + x + 7 + 2 + 1}{6}  \\  \\ \therefore 4 = \frac{17 + x }{6}  \\  \\ \therefore 4 \times 6 = 17 + x \\  \\ \therefore 24 - 17 = x \\  \\\therefore x = 7

Thus, the missing number of the data is 7.

4 0
3 years ago
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