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Akimi4 [234]
2 years ago
13

What is the vertex of the parabola f(x) = x2 + 8x + 12?

Mathematics
1 answer:
Serjik [45]2 years ago
3 0
(-4,-4) B
just for extra space.
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A parabola, with a vertex at (−4, 32), is defined by f(x)=−x2+bx+c (where b and c are some numbers). f(x) and g(x) - its reflect
vladimir1956 [14]

Answer:

sorry I don't know understand

5 0
3 years ago
There are 99 males and 121 females participating in a marathon. What percent of the participants are female?​
ioda

To do this, we first want to see how many participants there are in total by adding both males and females.

99+121=220

Now we know that there were 220 total participants, but only 121 were females.

This allows us to set up the fraction 121/220= the percent female.

\frac{121}{220} =0.55

or 55%

8 0
2 years ago
Which set of directions correctly describes how to plot the point (5, 7) on the coordinate plane?
sweet [91]

Answer:3

Step-by-step explanation:

8 0
2 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
2 years ago
Estimate 195 divided by 4. Tell which method is used.
ki77a [65]
195 ÷ 4 = 48.75
Is this what you wanted?
4 0
3 years ago
Read 2 more answers
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