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jasenka [17]
3 years ago
5

Find the vertex of the parabola: y = -2x2 - 4x - 7

Mathematics
1 answer:
snow_lady [41]3 years ago
7 0
X=-b/2a=4/14=2/7
Plug this value back into the function to find the corresponding Y value
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Suppose GRE Verbal scores are normally distributed with a mean of 461 and a standard deviation of 118. A university plans to rec
nirvana33 [79]

Answer:

The minimum score required for recruitment is 668.

Step-by-step explanation:

Problems of normally distributed samples can be 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 = 461 \sigma = 118

Top 4%

A university plans to recruit students whose scores are in the top 4%. What is the minimum score required for recruitment?

Value of X when Z has a pvalue of 1-0.04 = 0.96. So it is X when Z = 1.75.

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

1.75 = \frac{X - 461}{118}

X - 461 = 1.75*118

X = 667.5

Rounded to the nearest whole number, 668

The minimum score required for recruitment is 668.

8 0
3 years ago
Solve -2x^2 + 10x + 9 =0 by using completing the squares and give u r answer to two decimal places
adell [148]
<span>-2x^2 + 10x + 9 =0
multiply whole equation by -1
2x^2  -10x -9 =0

(sqrt2x)^2  -2(sqrt2x)(5/</span>sqrt2) -9=0
add (5/sqrt2)^2 on both sides
(sqrt2x)^2  -2(sqrt2x)(5/sqrt2) + (5/sqrt2)^2-9=(5/sqrt2)^2

a^2-2ab+b^2=(a-b)^2
(sqrt2x  -  5/sqrt2)^2=(5/sqrt2)^2+9

(sqrt2x  -  5/sqrt2)^2=21.5

taking squareroot on both sides

sqrt2x  -  5/sqrt2 = +-4.64
so
sqrt2x  -  5/sqrt2 = +4.64       or         sqrt2x  -  5/sqrt2 = -4.64
sqrt2x = 4.64 +  5/sqrt2                     sqrt2x = -4.64 +  5/sqrt2
sqrt2x =8.18                                         sqrt2x = -1.1045
x=8.18/sqrt2                                        x= -1.1045/sqrt2
x=5.78                                                 x=-0.781
3 0
3 years ago
Read 2 more answers
What is the value of cos(infinity)?
Monica [59]
The problem ask to find the value of the cos(infinity) and the best answer, base on my further calculation and formulation that came up to a solution that leads me to an answer that the cos(infinity) is undefined but it has a range of (-1,1). I hope you are satisfied with my answer and feel free to ask for more 
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3 years ago
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A frosting is made of cream cheese and powdered sugar in
liubo4ka [24]

Answer:

80g

Step-by-step explanation:

4 0
3 years ago
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Serena does 10 minutes of endurance exercises. she plans on doing it for s minutes of doing strength exercises. complete the two
worty [1.4K]

The equation that represents the time spent on the exercise by Serena will be t = 10 + s

<h3>How to compute the equation? </h3>

From the information given, it was stated that Serena does 10 minutes of endurance exercises. and that she plans on doing s minutes of strength exercises.

Therefore, the equation that represents the time spent on the exercise will be t = 10 + s

Learn more about equations on:

brainly.com/question/2972832

3 0
2 years ago
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