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3 years ago

The equation of line p is y = ax + b. Which of these could be the equation of line q?

Mathematics

1 answer:

olasank [31]3 years ago

3 0

Line q is decreasing (negative slope), whereas line p is increasing (positive slope). Moreover, the absolute value of the slope of line q is higher that the one of line p, because line q is more "vertical" than line p.

Finally, line p passes through the origin (b=0), whereas line q has a y-intercept of 3 (constant term=3).

So, the most feasible expression for line q would be y=-2ax+b+3

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PLZ HELP!!! I will give you brainliest

Artist 52 [7]

Answer:

141

Step-by-step explanation:

CD = | 4-(-2)| = 6

DB = |3-(-7)| = 10

area of a right triangle

A = (leg 1 x leg2)/2 = (6 x 10)/2 = 30

EB = |3-(-3)| = 6

EF = |-8-(-2)| = 6

area of a square = side^2

A = 6^2 = 36

segment G(and a point with same x coordinate of H)

|8-3| = 5

segment H(and the same point)

|-10-(-8)| = 2

A = (5x2)/2 = 5

segment I(and the same point)

|-8-6| = 14

Area of a rectangle

A = base x width

A = (5 x 14) = 70

total area = 70 + 5 + 36 + 30 = 141

6 0

3 years ago

⦁ In a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football. Construct a 95% confiden

fomenos

Answer:

95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

Step-by-step explanation:

We are given that in a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football.

Firstly, the pivotal quantity for 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is given by;

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

where, $\hat p$ = proportion of adults in the United States whose favorite sport to watch is football in a sample of 1219 adults = $\frac{354}{1219}$

n = sample of US adults = 1291

p = population proportion of adults

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%

significance level 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 = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ]

= [ $\frac{354}{1219}-1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} }$ , $\frac{354}{1219}+1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} }$ ]

= [0.265 , 0.316]

Therefore, 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

5 0

3 years ago

Solve for s -7s+3s-6=14

NikAS [45]

Answer:

s=-20/3

Step-by-step explanation:

Line the numbers

7 0

2 years ago

Read 2 more answers

HELP PLZ DUR 11;59 plz help me

Norma-Jean [14]

Answer:

Base = 10 cm

Height = 60 cm

Step-by-step explanation:

The formula for the area of a triangle is $area=\frac{1}{2} *b*h$ , where b is the length of the base of the triangle, and h is the length of the height of the triangle.

We know the area is 300, and since the height of the triangle is 6 times its base, we know that $h=6*b$ . We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:

$300=\frac{1}{2} *b*(6*b)$

$3b^2=300$

$b=\sqrt{100} =10$

The base of the triangle is 10 centimeters.

Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:

$300=\frac{1}{2} *10*h$