Round 14494 to the nearest thousand feet

A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection

Roman55 [17]

Answer: -1.78

Step-by-step explanation:

As per given description, we have

Population proportion : $p=0.35$

Sample size : n= 500

Sample proportion : $\hat{p}=\dfrac{156}{500}=0.312$

Test statistic for population proportion :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\=\dfrac{0.312-0.35}{\sqrt{\dfrac{0.35(1-0.35)}{500}}}\\\\=-1.78146747757\ \ \text{(Simplified)}\\\\\approx-1.78$

Hence, the test statistic for this hypothesis test for a proportion= -1.78

3 0

3 years ago

Drag each expression to show whether it can be used to find the volume, surface area, or neither.

Mumz [18]

Answer:

Volume = 12 *6 *8 , Surface area = 2 ( 12 *6 + 8 *12 + 6* 8 )

Step-by-step explanation:

Given : Cuboid with length 12 , width 6 and height 8 units.

To find : Drag each expression to show whether it can be used to find the volume, surface area, or neither.

Solution : We have given Cuboid with

Length = 12 units ,

Width = 6 units

Height = 8 units.

Volume of cuboid = length * width * height .

Volume = 12 *6 *8.

Surface area = 2 ( l *w + h *+w *h)

Surface area = 2 ( 12 *6 + 8 *12 + 6* 8 ).

None = 12 +6 +8.

Therefore, Volume = 12 *6 *8 , Surface area = 2 ( 12 *6 + 8 *12 + 6* 8 ) .

7 0

3 years ago

Read 2 more answers

3. What are the intersection points of the line whose equation is y=3x +3 and the

densk [106]

Answer:

Points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

Step-by-step explanation:

Equation of the circle → (x - 2)² + y² = 25 ---------(1)

→ (x - 2)² + (y - 0)² = 5²

By comparing this equation with the standard equation of the circle,

(x - a)² + (y - b)²= r²

Here (a, b) is the center and r is the radius of the circle.

Therefore, center of the circle is (2, 0) and radius = 5 units

Second equation is a linear equation → y = 3x + 3 -------(2)

x-intercept of the equation → x = -1

y-intercept of the equation → y = 3

By graphing these equations we can get the point of intersections.

Solving these equations algebraically,

Substitute the value of y from equation (2) in the equation (1),

(x - 2)² + (3x + 3)² = 25

x² - 4x + 4 + 9x² + 18x + 9 = 25

10x² + 14x - 12 = 0

5x² + 7x - 6 = 0

x = $\frac{-7\pm \sqrt{7^2-4(5)(-6)}}{2(5)}$

x = $\frac{-7\pm \sqrt{169}}{10}$

x = $\frac{-7\pm13}{10}$

x = -2, 0.6

From equation (2),

y = -3, 4.8

Therefore, points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

6 0

3 years ago

Can you help me with this question please? I will reward 20 points for best answer.

swat32

Answer:

Demand: q = -50p + 1200

Supply: q = 40p

Step-by-step explanation:

First let's define our variables.

q = quantity of T-shirts

p = price

We know that when p = 12, q = 600. When p increases by 1, q decreases by 50. So this is a line with slope -50 that passes through the point (12, 600). Using point-slope form to write the equation:

q - 600 = -50 (p - 12)

Converting to slope-intercept form:

q - 600 = -50p + 600

q = -50p + 1200

Similarly, we know that when p = 9.75, q = 600 - 210 = 390. When p increases by 1, q increases by 40. So this is a line with slope 40 that passes through the point (9.75, 390). Using point-slope form to write the equation:

q - 390 = 40 (p - 9.75)

Converting to slope-intercept form:

q - 390 = 40p - 390

q = 40p

5 0

2 years ago

A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

arsen [322]

Answer:

See attachment below

Step-by-step explanation:

4 0

3 years ago