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3 years ago

Which are equivalent ratios to 2:3?

Mathematics

2 answers:

Gwar [14]3 years ago

8 0

Answer:

8:12 6:9 4:6

Step-by-step explanation:

Divide each ratio by 2:3 and check if both numbers on either side of : are the same

For example:

8:12 divided by 2:3 = 4:4

liberstina [14]3 years ago

7 0

Answer:

8:12, 6:9, and 4:6

Step-by-step explanation:

Equivalent ratios are any ratios that represent the same when they are simplified. All the ratios above simplify to 2:3. When the 8 and 12 of 8:12 are both divided by 4, the result is 2:3. When the 6 and 9 in 6:9 are both divided by 3, the result is 2:3. When the 4 and 6 in 4:6 are both divided by 2, the result is 2:3. The ratios 10:16 and 9:12 cannot be simplified to 2:3, and therefore are not correct answers.

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Find the value of the lesser root of x2 + 12x + 35 = 0.

matrenka [14]

In quadratic equations,
a + b = -B
ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
a + b = -12
ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7.

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3 years ago

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Akimi4 [234]

Answer:

Step-by-step explanation:

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3 years ago

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2 years ago

Please answer this correctly

ra1l [238]

Answer:

42 13/20 km

Step-by-step explanation:

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3 years ago

According to the World Health Organization (WHO) Child Growth Standards, the head circumference for boys at birth is normally di

Elena L [17]

Answer:

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

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

$X\sim N(\mu = 34.5, \sigma=1.3)$

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

$Y\sim N(\mu = 33.9, \sigma=1.2)$

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

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

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

5 0

3 years ago