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3 years ago

[y = x + 4][3x -2y =-7] substitution

Mathematics

1 answer:

tia_tia [17]3 years ago

3 0

Answer:

x=15, y=19

Step-by-step explanation:

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In 2013, the Pew Research Foundation reported that "45% of U.S. adults report that they live with one or more chronic conditions

marshall27 [118]

<h2>Answer with explanation:</h2>

Formula to find the confidence interval for population proportion (p) is given by :-

$\hat{p}\pm z^* SE$

, where z* = Critical value.

$\hat{p}$ = Sample proportion.

SE= Standard error.

Let p be the true population proportionof U.S. adults who live with one or more chronic conditions.

As per given , we have

$\hat{p}=0.45$

SE=0.012

By z-table , the critical value for 95% confidence interval : z* = 1.96

Now , a 95% confidence interval for the proportion of U.S. adults who live with one or more chronic conditions.:

$0.45\pm (1.96) (0.012)$

$0.45\pm (0.02352)$

$=(0.45-0.02352,\ 0.45+0.02352)=(0.42648,\ 0.47352)$

Hence, a 95% confidence interval for the proportion of U.S. adults who live with one or more chronic conditions. $=(0.42648,\ 0.47352)$

Interpretation : Pew Research Foundation can be 95% confident that the true population proportion (p) of U.S. adults who live with one or more chronic conditions lies between 0.42648 and 0.47352 .

4 0

3 years ago

Consider a uniform distribution created by a random number generator. The distribution looks like a square with a length of 1 an

vekshin1

The rigorous way to do this would be to compute a few integrals, but less work is usually better. Each of these probabilities correspond to the areas of rectangles. Each rectangle will have a height of 1, and the probability of interest will tell you everything you need to know about their lengths.

$\mathbb P(0\le X\le0.4)\implies \text{length}=0.4\implies\mathbb P(0\le X\le0.4)=0.4\times1=0.4$

$\mathbb P(0.4\le X\le1)\implies \text{length}=0.6\implies\mathbb P(0\le X\le0.4)=0.6$

Alternatively, you can use the fact that $\mathbb P(0.4\le X\le 1)=1-\mathbb P(0\le X\le 0.4)$ to get the same result.

$\mathbb P(X>0.6)=\mathbb P(0.60.6)=0.4$

$\mathbb P(X\le0.6)\implies \text{length}=0.6\implies\mathbb P(X\le0.6)=0.6$

$\mathbb P(0.23\le X\le0.76)\implies \text{length}=0.76-0.23=0.53\implies\mathbb P(0.23\le X\le0.76)=0.53$

3 0

3 years ago

Write an equation that you can use to solve for x.<br><br> Enter your answer in the box.

Leto [7]

Answer:

180=x+60+100

Step-by-step explanation:

Because of vertical angles the angle beside 60 is 100 and 100+60+x would equal 180 degrees

5 0

3 years ago

Read 2 more answers

Pls help me pls pls