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3 years ago

Which parabola has the graph shown? I think the answer is C. however, I'm not 100% sure.

Mathematics

1 answer:

NemiM [27]3 years ago

7 0

$x=m(y-k)^2+h\\\\(h,\ k)-the\ vertex$

We have the vertex (-4, -1), therefore we have:

$x=(y-(-1))^2-4\ \ \ |+4\\\\(x+4)=(y+1)^2$

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Picture attached. help plz :)

dlinn [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the equation for p=1.2w/h^2 when solving for h

Vera_Pavlovna [14]

Take the root of both sides and solve
1.09544511 $\sqrt{pw}$ 1.09544511 $\sqrt{pw}$
h= ___________ , - ____________
p p

3 0

2 years ago

What is the distance between (-6, 2) and (8, 10) on a coordinate grid?

lawyer [7]

Answer:

The answer is 2(the square root of 65 )

Step-by-step explanation:

Plug ( -6, 2) and (8, 10) into the distance formula and solve.

Distance = the square root of ((x2 - x1)^2 + (y2 - y1)^2))

Distance = the square root of ((8 - -6)^2 + (10 - 2)^2))

Distance = the square root of (14^2 + 8^2)

Distance = the square root of (196 + 64)

Distance = the square root of 260 which can be simplified to 2(the square root of 64)

5 0

3 years ago

Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of mu equals 24.4 in.

solong [7]

Answer:

$P(X \geq 26.6) = 0.0336$ , which is greater than 0.01. So a back-to-knee length of 26.6 in. is not significantly high.

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:

$\mu = 24.4, \sigma = 1.2$

In this problem, a value x is significantly high if:

$P(X \geq x) = 0.01$

Using these criteria, is a back-to-knee length of 26.6 in. significantly high?

We have to find the probability of the length being 26.6 in or more, which is 1 subtracted by the pvalue of Z when X = 26.6. So

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

$Z = \frac{26.6 - 24.4}{1.2}$

$Z = 1.83$

$Z = 1.83$ has a pvalue of 0.9664.

1 - 0.9664 = 0.0336

$P(X \geq 26.6) = 0.0336$ , which is greater than 0.01. So a back-to-knee length of 26.6 in. is not significantly high.

6 0

2 years ago

Hello if someone could explain this question that would be great. Thanks.

guajiro [1.7K]

Answer:

Ok time to get math on

So this would be D

A non-filled in dot means < or > (depending where arrow is pointing)

A filled in dot means ≤ or ≥ (depending where arrow is pointing)

if an arrow points right, then it would be greater than, if arrow points left.. Then its less than

So the graph line is showing that it cannot be equal to AND it is lesser than so the only answer choice that would make the most sense is D

A is greater than which is not the answer

B is only equal to which is way off

C is less than but it is equal which is wrong

D is the only right answer

Hope this helps! :)

7 0

3 years ago