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Norma-Jean [14]
3 years ago
13

Find the slope of 2y - 8x = -22.

Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

work is shown and pictured

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Brad wants to open a new savings account. He finds one that returns 3% on his investment each year.
Rufina [12.5K]

Answer:

  • final balance: A
  • initial investment: P
  • return rate: r

Step-by-step explanation:

The variable assigments can be anything you like. It is often helpful to use variables that will remind you what they stand for. Here, we have chosen A = amount (final balance); P = principal (initial investment); r = rate.

5 0
3 years ago
Put these numbers in order from least to greatest.<br><br> 7, -1/4,-15/20
Agata [3.3K]

Answer:

The answer is -15/20, -1/4, 7. Thanks

8 0
2 years ago
Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?
Reil [10]
  • Here, both the triangles have equal sides.
  • So, the two triangles are related by SSS.
  • If all the sides of a triangle are equal to all the sides of another triangle, so the triangles are congruent to each other.

<u>Answer</u><u>:</u>

<u>SSS,</u><u> </u><u>congruent.</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

4 0
2 years ago
Consider the probability that no less than 96 out of 145 people will not get the flu this winter. Assume the probability that a
dsp73

Answer:

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 145, p = 0.61

So

\mu = E(X) = np = 145*0.61 = 88.45

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{145*0.61*0.39} = 5.87

Consider the probability that no less than 96 out of 145 people will not get the flu this winter.

More than 95 people, which is the same as 1 subtracted by the pvalue of Z when X = 95. So

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

Z = \frac{95 - 88.45}{5.87}

Z = 1.115

Z = 1.115 has a pvalue of 0.8676

1 - 0.8676 = 0.1324

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

6 0
3 years ago
What is the inverse of this function? f(x)=-1/2 square root of x+3, x &gt; -3
yuradex [85]

The inverse function of f(x) = -\frac 12\sqrt{x + 3} isf^{-1}(x) = 4x^2- 3

<h3>How to determine the inverse function?</h3>

The function is given as:

f(x) = -\frac 12\sqrt{x + 3}

Rewrite as;

y = -\frac 12\sqrt{x + 3}

Swap the positions of x and y

x = -\frac 12\sqrt{y + 3}

Multiply through by -2

-2x = \sqrt{y + 3}

Square both sides

4x^2 = y + 3

Subtract 3 from both sides

y = 4x^2 - 3

Express as an inverse function

f^{-1}(x) = 4x^2- 3

Hence, the inverse function of f(x) = -\frac 12\sqrt{x + 3} isf^{-1}(x) = 4x^2- 3

Read more about inverse function at:

brainly.com/question/2541698

#SPJ1

3 0
2 years ago
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