What is the slope of the line in this graph?

Please I need help !!

kicyunya [14]

Answer:

y = -1x + 1

Step-by-step explanation:

6 0

3 years ago

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the perimeter of the triangle is 61 inches. if two sides of the triangle are equal and the third side is 4 inches more than the

elena-s [515]

The equation can be modeled as

X + X + (X+4) = 61

X is used for all because they are all the same number and can be given the same variable

The third is given plus four so we can use a common variable

3x + 4 = 61

3x = 57 (subtracted four)

x = 19 (divided by three)

Solving for third side so x + 4

The third side is 23 inches

4 0

3 years ago

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Teen obesity:

Law Incorporation [45]

Answer:

95% confidence interval for the percentage of all U.S. public high school students who are obese is [0.110 , 0.190].

Step-by-step explanation:

We are given that 15% of a random sample of 300 U.S. public high school students were obese.

Firstly, the pivotal quantity for 95% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample % of U.S. public high school students who were obese = 15%

n = sample of U.S. public high school students = 300

p = population percentage of all U.S. public high school students

Here for constructing 95% confidence interval we have used One-sample z proportion statistics.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

95% confidence interval for p = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.15-1.96 \times {\sqrt{\frac{0.15(1-0.15)}{300} } }$ , $0.15+1.96 \times {\sqrt{\frac{0.15(1-0.15)}{300} } }$ ]

= [0.110 , 0.190]

Therefore, 95% confidence interval for the percentage of all U.S. public high school students who are obese is [0.110 , 0.190].

6 0

3 years ago

Simplify the rational expression.

o-na [289]

Answer:

$\large\boxed{\dfrac{x^2-4x-32}{x+4}=x-8}$

Step-by-step explanation:

$\dfrac{x^2-4x-32}{x+4}=\dfrac{x^2+4x-8x-32}{x+4}=\dfrac{x(x+4)-8(x+4)}{x+4}\\\\=\dfrac{(x+4)(x-8)}{x+4}\\\\\text{canceled}\ (x+4)\\\\=x-8$

7 0

3 years ago

I need HELP! Will mark as Brainliest....Please explain your answer.

poizon [28]

The number of 8 oz glasses of milk in 1 gallon doesn't change and isn't a variable. Definitely answer NO to this one. With some reservations, I'd say that all the other three descriptions rate a YES.

3 0

3 years ago