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konstantin123 [22]
3 years ago
13

How many grams are equivalent to 75 kilograms?

Mathematics
1 answer:
taurus [48]3 years ago
8 0

Answer:

75 * 1000 = 75000

75000 gram

Step-by-step explanation:

1 kg = 1000g, so the answer is simple (kg * 1000 = g)

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The assembly of a machine takes 3/4 hour there are 12 steps in the assembly process what is the average time for each step
S_A_V [24]
We can solve this two different ways. I'll do both, and you choose which one makes the most sense:
We can divide the fraction 3/4 by 12. remember, when we divide fractions, we flip the second fraction and change the sign to multiplication:
3/4 ÷12     [starting equation]
3/4 x 1/12  [flip and change sign]
3/48    [now reduce]
1/16 Each step takes 1/16 of an hour. 
1/16 x 60 = 3 3/4, or 3.75 minutes

Second way:
3/4 of an hour is 3/4 of 60...45 minutes.
Still, we divide out:
45 ÷ 12   [starting equation]
3 9/12    [divide with remainder]
3 3/4 minutes...3.75 minutes

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Step-by-step explanation:

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An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed fro
strojnjashka [21]

Answer:

a) 0.10565

b) The two values = 4.61712 and

4.78288

c) 4.64088

Step-by-step explanation:

The z score formula we use to solve when given a random number of samples=

The formula for calculating a z-score is is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ/√n is standard error

σ is the population standard deviation

n = random number of samples

a. What is the probability that the sample mean amount of juice will be at least 4.60 ounces?

z = (x-μ)/σ/√n

x = 4.60

μ = 4.70

σ = 0.40

n = 25

z = 4.60 - 4.70/0.40/√25

z = -0.10/0.40/5

z = -1.25

P-value from Z-Table:

P(x ≤ 4.60)

= P(x ≤ 4.60)

= P(z = -1.25)

= 0.10565

Therefore, the probability that the sample mean amount of juice will be at least 4.60 ounces is 0.10565

b. The probability is 70% that the sample mean amount of juice will be contained between what two values symmetrically distributed around the population mean?

The probability of 70% = 0.70

The z score for 0.70 = 1.036

This means, -1.036 and +1.036 gives a probability (0.70) or confidence level of 70%

We are to find x(raw score)

We solve using z score formula

For z = +1.036

z = (x-μ)/σ/√n

x = ?

μ = 4.70

σ = 0.40

n = 25

1.036 = x - 4.70/0.40/√25

1.036 = x - 4.70/0.08

Cross Multiply

1.036 × 0.08 = x - 4.70

0.08288 = x - 4.70

0.08288 + 4.70 = x

x = 4.78288

For z = -1.036

z = (x-μ)/σ/√n

x = ?

μ = 4.70

σ = 0.40

n = 25

-1.036 = x - 4.70/0.40/√25

-1.036 = x - 4.70/0.08

Cross Multiply

-1.036 × 0.08 = x - 4.70

-0.08288 = x - 4.70

-0.08288 + 4.70 = x

= 4.61712

Therefore, the two values = 4.61712 and

4.78288

c. The probability is 77% that the sample mean amount of juice will be greater than what value?

We are told to find the value that the sample mean is greater than

The z score for a P(x > z)

= P(x > 0.77)

= -0.739

Using z score formula, we find x first

z = (x-μ)/σ/√n

x = ?

μ = 4.70

σ = 0.40

n = 25

-0.739 = x - 4.70/0.40/√25

-0.739 = x - 4.70/0.08

Cross Multiply

-0.739 × 0.08 = x - 4.70

-0.05912 = x - 4.70

-0.05912 + 4.70 = x

x = 4.64088

Therefore, the value that the probability is 77% that the sample mean amount of juice will be greater than is 4.64088

5 0
3 years ago
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