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2 years ago

Starting with x=4.62 repeating express x as a fraction in simplest form

1 answer:

5 0

$x=4.62=4+0.62=4+\dfrac{62}{100}=4+\dfrac{62:2}{100:2}=4+\dfrac{31}{50}\\\\\text{as a mixed number}\ 4\dfrac{31}{50}\\\\\text{as an improper fraction}\ \dfrac{4\cdot50+31}{50}=\dfrac{231}{50}$

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In a factory A, about 3 out of every 2,000 toys have a defect. In factory B, about 5 out of every 4,500 toys have a defect. One

gavmur [86]

Answer:

Step-by-step explanation:

Factory A proportion:

3 : 2,000

Factory B proportion:

5 : 4,500 (this can be simplified):

1 : 900

Now plug in 18,000 to each proportion:

Factory A:

x : 18,000

3 : 2,000

x = 27

Factory B:

x : 18,000

1 : 900

x = 20

Factory A had the greater amount of defects, 27

7 0

2 years ago

When to fractions are between 0 1/2 how do you know which fraction is greater explain

shepuryov [24]

By creating a common denominator, you can compare different numbers to the same ratio. For example:
Take 2/3 and 3/4
Now 3/4 is the same as 9/12
And 2/3 is the same as 8/12
Now that they have the same denominator, you can tell that 9/12 is clearly greater than 8/12, meaning 3/4 is greater than 2/3.

5 0

2 years ago

Can someone help me with number 8 plz

statuscvo [17]

We have the following equation:
h (t) = - 16t ^ 2 + 161t + 128
We substitute the value of h (t) = 170:
170 = -16t ^ 2 + 161t + 128
We rewrite the equation:
-16t ^ 2 + 161t + 128 - 170 = 0
-16t ^ 2 + 161t - 42 = 0
We look for the roots of the equation:
t1 = (161/32) + root (23233) / 32
t2 = (161/32) - root (23233) / 32
Answer:
The object is 170 feet off the ground at the following times:
t1 = (161/32) + root (23233) / 32
t2 = (161/32) - root (23233) / 32

7 0

3 years ago

The distribution of head circumference for full term newborn female infants is approximately normal with a mean of 33.8 cm and a

enyata [817]

Using the normal distribution, it is found that 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 33.8, \sigma = 1.2$

The proportion of full term newborn female infants with a head circumference between 31 cm and 36 cm is the <u>p-value of Z when X = 36 subtracted by the p-value of Z when X = 31</u>, hence:

X = 36:

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

$Z = \frac{36 - 33.8}{1.2}$

Z = 1.83

Z = 1.83 has a p-value of 0.9664.

X = 31:

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

$Z = \frac{31 - 33.8}{1.2}$

Z = -2.33

Z = -2.33 has a p-value of 0.0099.

0.9664 - 0.0099 = 0.9565.

0.9565 = 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

More can be learned about the normal distribution at brainly.com/question/24537145

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4 0

1 year ago

5x - 12 = 13, solve using algebra.

ella [17]

Step-by-step explanation:

5x-12=13

5x -12 =13

+12=+12

5 =. 5

x=5

3 0

2 years ago

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