Please help me don't give random link or I'll report

Mathematics

1 answer:

Ivahew [28]2 years ago

3 0

Answer:

Well one is small but is the same shape and they are reflecting from each other

I hope this is correct and helps you

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1. Simplify -7 + {12 - 3[50 - 4(2+3)] }

Komok [63]

1. Simplify $-7 + (12 - 3[50 - 4(2+3)])$ this expression step by step:

$2+3=5;$
$4\cdot (2+3)=4\cdot 5=20;$
$50-4\cdot (2+3)=50-20=30;$
$3\cdot [50-4(2+3)]=3\cdot 30=90;$
$12-3\cdot[50-4(2+3)]=12-90=-78;$
$-7 + (12 - 3[50 - 4(2+3)])=-7+(-78)=-7-78=-85.$

2. Simplify the expression $\dfrac{1}{3} + 6\left(\dfrac{2}{3} - \dfrac{1}{6}\right)^2$ in the same way:

$\dfrac{2}{3}-\dfrac{1}{6}=\dfrac{2\cdot 2-1}{6}=\dfrac{3}{6}=\dfrac{1}{2}$
$\left(\dfrac{2}{3} - \dfrac{1}{6}\right)^2=\left(\dfrac{1}{2} \right)^2=\dfrac{1}{4}$
$\dfrac{1}{3} + 6\left(\dfrac{2}{3} - \dfrac{1}{6}\right)^2=\dfrac{1}{3} + 6\cdot \dfrac{1}{4}=\dfrac{1}{3}+\dfrac{3}{2}=\dfrac{1\cdot 2+3\cdot 3}{6}=\dfrac{11}{6}$

6 0

4 years ago

What is another name for a relation that has each element in its domain paired with exactly one element in its range?

Oliga [24]

A function is a relation in which each element of the domain is paired with exactly one element of the range.

6 0

3 years ago

in a survey of 7000 women 4431 say they change their nail polish once a week.Construct a 95% confidence interval for the populat

andreyandreev [35.5K]

Answer:

The 95% confidence interval would be given (0.622;0.644).

We are confident (95%) that the true proportion of people that said that they change their nail polish once a week is between 0.622 and 0.644

Step-by-step explanation:

Data given and notation

n=7000 represent the random sample taken

X=4431 represent the people that said that they change their nail polish once a week

$\hat p=\frac{4431}{7000}=0.633$ estimated proportion of people that said that they change their nail polish once a week

$\alpha=0.05$ represent the significance level

Confidence =0.95 or 95%

p= population proportion of people that said that they change their nail polish once a week

Solution to the problem

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.