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Archy [21]
2 years ago
6

The parabola y=x^2 is shifted up by 8 units. What is the new equation of the parabola?

Mathematics
1 answer:
elixir [45]2 years ago
5 0

Answer:

y=x^2+8

Step-by-step explanation:

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Suppose that birth weights are normally distributed with a mean of 3466 grams and a standard deviation of 546 grams. Babies weig
Anon25 [30]

Answer:

3.84% probability that it has a low birth weight

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 = 3466, \sigma = 546

If we randomly select a baby, what is the probability that it has a low birth weight?

This is the pvalue of Z when X = 2500. So

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

Z = \frac{2500 - 3466}{546}

Z = -1.77

Z = -1.77 has a pvalue of 0.0384

3.84% probability that it has a low birth weight

3 0
3 years ago
Solve the system of equations by the substitution method.<br> y = 5x + 6<br> y=9x+7.
joja [24]

Answer:

(-1/4, 19/4)

Step-by-step explanation:

5x+6=9x+7

-4x=1

x= -1/4

y=5(-1/4) +6

y=19/4

3 0
3 years ago
For the following equation, compute the x- and y- intercepts to graph the line.
nikklg [1K]
X-intercept: (-5,0)
Y-intercept: (0,4)
To solve for the X-Intercept, substitute 0 for y and solve for x.
To solve for the Y-Intercept, substitute 0 for x and solve for y.

7 0
3 years ago
Plz help me help help
mylen [45]

in order to solve these equations, you need to divide the number by the varible. so #5 is 2.5y=5. you would divide 5 by 2.5, to get 2. the answer would be y=2

8 0
3 years ago
Which of the following proportions could be used to find x?
OLga [1]

\frac{x}{2} = \frac{6}{1.5}

The 2 right triangles are similar and so the ratios of corresponding sides are equal

The corresponding sides are x and 2, 6 and 1.5, hence

\frac{x}{2} = \frac{6}{1.5}


5 0
3 years ago
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