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rewona [7]
3 years ago
6

Jeff drinks 2/3 of a glass of juice. write a fraction that is equivalent to 2/3

Mathematics
1 answer:
frutty [35]3 years ago
8 0
Some fractions that are equivalent to 2/3 are 4/6 and 6/9
to find equivalent fractions, you just have to reduce the fraction or multiply both the top and bottom numbers by the same number to increase the fraction.
2/3 is as reduced as it can be, though.
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8x10to the 3rd power
asambeis [7]

Answer:

512000

Step-by-step explanation:

8*10

80*80*80

7 0
3 years ago
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The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of
Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 4.84, \sigma = 0.05

Top 3%

Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.

Z = \frac{X - \mu}{\sigma}

1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*1.88

X = 4.934

Bottom 3%

Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.

Z = \frac{X - \mu}{\sigma}

-1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*(-1.88)

X = 4.746

8 0
3 years ago
Jacob put hummingbird feeders in his garden. To make the food for his small feeder, he mixed sugar with warm water. He used the
Umnica [9.8K]

Answer:

Step-by-step explanation:

The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.

7 0
2 years ago
Find two positive consecutive integers such that the square of the first added to three times the second is 24
Naddika [18.5K]

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

7 0
3 years ago
Use the given figure to find the length of FG
frutty [35]

Answer:

FG = 19

Step-by-step explanation:

The two sides of the triangle are equal since JG is a perpendicular bisector

FG = HG

5x-6 = 3x+4

Subtract 3x from each side

5x-3x -6 = 3x+4-3x

2x-6 =4

Add 6 to each side

2x-6+6 =4+6

2x = 10

Divide by 2

2x/2 = 10/2

x =5

We want to find FG

FG = 5x-6

FG = 5(5)-6

    = 25-6

    = 19

4 0
3 years ago
Read 2 more answers
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