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DerKrebs [107]
3 years ago
5

3.5(x + 2) - 6.5 - 2.5(x - 4)

Mathematics
1 answer:
Inga [223]3 years ago
4 0
Your right...........
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Step-by-step explanation:

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How do you write 3 3/5 as a percent?
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So first convert it it a mixed number so you get 18/10 next multiply by 100 to get 180%
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Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choos
Snowcat [4.5K]

<u>Ashely have </u><u>56 ways</u><u> to choose from</u>

This question can be solved using a system in mathematics called Permutation and it's in a topic of mathematics called combinatorics.

<h3 /><h3>Permutation</h3>

This is the process of arranging a particular set of data in different ways.

Since Ashely is choosing 3 desserts out of 8 in no specific ways

P=\frac{n!}{(n-r)!}

Where n = total number of ways available

r = total numbers that would be selected.

Data given

  • n = 8
  • r = 3

Let's substitute these values into the equation.

P=\frac{8!}{(8-3)!3!} \\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1*3*2*1}\\P=56

From the calculation above, Ashley have 56 ways in which can choose 3 dessert from an 8 choice.

Learn more about permutation here;

brainly.com/question/11871015

8 0
2 years ago
Which equation describes the function whose y-intercept is 6 and whose
Hitman42 [59]

Answer:

y=2x+6

slope intercept form: y=mx+y-intercept

m=slope

3 0
3 years ago
A certain transportation system of buses and commuter trains is heavily utilized so that it is not practical to check every trav
IRINA_888 [86]

Answer:

0.0864 < p< 0.1358

We are confident (95%) that the true proportion of people admitted they did not buy a ticket is betwen 0.0864 and 0.1358.  

Step-by-step explanation:

1) Data given and notation  

n=621 represent the random sample taken    

X=69 represent the people admitted they did not buy a ticket

\hat p=\frac{69}{621}=0.111 estimated proportion of people admitted they did not buy a ticket

\alpha=0.05 represent the significance level (no given, but is assumed)    

z would represent the statistic

p= population proportion of people admitted they did not buy a ticket

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

2) Confidence interval

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

And replacing into the confidence interval formula we got:

0.111 - 1.96 \sqrt{\frac{0.111(1-0.111)}{621}}=0.0864

0.111 + 1.96 \sqrt{\frac{0.111(1-0.111)}{621}}=0.1358

And the 95% confidence interval would be given (0.0864;0.1358).

0.0864 < p< 0.1358

We are confident (95%) that the true proportion of people admitted they did not buy a ticket is betwen 0.0864 and 0.1358.  

3 0
3 years ago
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