A line passes through the point (8,-9) and has a slope of -5/4.

Mathematics

2 answers:

nataly862011 [7]3 years ago

6 0

Answer:

y=-5/4x-19

Step-by-step explanation:

y=-5/4(x(-8))-9

y=-5/4x-10-9

y=-5/4x-19

mel-nik [20]3 years ago

6 0

1. Slope
M = -5/4

2. Y- intercept
Y = mx + b
-9 = (-5/4)(8) + b
-9 = -10 + b
-9 + 10 = -10 + 10 + b (the ten cancels out and we are just left with our b)
1 = b

So, therefore, the equation is:
Y = -5/4x + 1

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A USA Today/CNN/Gallup survey of 369 working parents found 200 who said they spend too little time with their children because o

KengaRu [80]

Answer: a. 0.542

b. 0.051

c. $(0.491,\ 0.593)$

Step-by-step explanation:

Let p be the population proportion of parents spend too little time with their children because of work commitments

As per given , we have

n= 369

$\hat{p}=\dfrac{200}{369}=0.542005420054\approx0.542$

Since the sample proportion is the best estimate for the population proportion.

So , the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments = 0.542

z-value for 95% confidence interval : $z_{\alpha/2}=1.96$

Margin of error : $E=z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$E=(1.96)\sqrt{\dfrac{0.542(1-0.542)}{369}}\\\\=0.0508364564574\approx0.051$

The margin of error = 0.051

Confidence interval : $\hat{p}\pm E$

$0.542\pm0.051\\\\=(0.542-0.051,\ 0.542+0.051)\\\\=(0.491,\ 0.593)$

95% confidence interval estimate of the population proportion of working parents who feel they spend too little time with their children because of work commitments : $(0.491,\ 0.593)$

6 0

3 years ago

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AURORKA [14]

Answer:

(0,5)

Step-by-step explanation:

you are moving 0.5 units

3 0

3 years ago

What is the solution?

ladessa [460]