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QveST [7]
3 years ago
9

What is the equivalent to 28/42

Mathematics
1 answer:
grigory [225]3 years ago
5 0
2/3, since those numbers can be divided by 14.
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Mike began with $20 in savings and increased his savings by $10 every month. Lindsay began with $5 in savings and doubled her sa
MrMuchimi

Answer:

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3 0
3 years ago
Consider the question of whether the home team wins more than half of its games in the National Basketball Association. Suppose
spayn [35]

Answer:

0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

The home team therefore wins 50% of its games

This means that p = 0.5

Determine the probability that the home team would win 65% or more of its games in a simple random sample of 80 games

Sample of 80 means that n = 80 and, by the Central Limit Theorem:

\mu = p = 0.65

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5*0.5}{80}} = 0.0559

This probability is 1 subtracted by the pvalue of Z when X = 0.65. So

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

By the Central Limit Theorem

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

Z = \frac{0.65 - 0.5}{0.0559}

Z = 2.68

Z = 2.68 has a pvalue of 0.9963

1 - 0.9963 = 0.0037

0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games

7 0
2 years ago
Given the quadratic function : f(x)=x^24x-12<br> Find the vertex.<br> Can you show the steps?!?
vlada-n [284]
\bf \textit{vertex of a vertical parabola, using coefficients}&#10;\\\\&#10;\begin{array}{llcccl}&#10;\stackrel{f(x)}{y} = & 1x^2& +4x& -12\\&#10;&\uparrow &\uparrow &\uparrow \\&#10;&a&b&c&#10;\end{array}&#10;\qquad &#10;\left(-\cfrac{ b}{2 a}\quad ,\quad   c-\cfrac{ b^2}{4 a}\right)&#10;\\\\\\&#10;\left(-\cfrac{4}{2(1)}~~,~~-12-\cfrac{4^2}{4(1)}  \right)\implies (-2~~,~~-12-4)\implies (-2~~,~~-16)
6 0
3 years ago
Can anybody please help me out with this question I would really appreciate it so much. Please and thank you .
PolarNik [594]

(7x+2)° = (9x–8)°

=>7x –9x = –8–2

=> –2x = –10

=> x = 10/2

=> x = 5

<ADB = (7x+2)°

= 7×5+2

= 37°

<BDC = (9x–8)°

= 9×5–8

= 45 –8

= 37°

<ADC = 37° + 37°

= 74°

8 0
3 years ago
I need help with this
vfiekz [6]

Answer:

Volume = 14.5 cm³

Step-by-step explanation:

Volume of cone = \pi r^2\frac{h}{3}

<u><em>Where r = 2 and h = 3.46</em></u>

Volume = (3.14)(2)^2\frac{3.46}{3}

Volume = (3.14)(4)(1.15)

Volume = 14.5 cm³

8 0
3 years ago
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