Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.2 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 23 samples is 6.4 ppm with a standard deviation of 0.7. Assume the population is normally distributed. A level of significance of 0.02 will be used. State the null and alternative hypotheses.

Answer:

a) The area of the triangle AQB is 43 square centimeters.

b) The length of the line segment AQ is approximately 14.866 centimeters.

Step-by-step explanation:

a) The procedure consist in subtracting the areas of triangles APQ, ASB and BRQ of the area the rectangle, that is to say:

[tex]A = (9\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (5\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (8\,cm)\cdot (9\,cm) -\frac{1}{2}\cdot (4\,cm) \cdot (6\,cm)[/tex]

[tex]A = 43\,cm^{2}[/tex]

The area of the triangle AQB is 43 square centimeters.

b) The length of the line segment AQ is determined by Pythagorean Theorem:

[tex]AQ = \sqrt{AP^{2}+PQ^{2}}[/tex] (1)

[tex]AQ = \sqrt{(5\,cm)^{2}+(14\,cm)^{2}}[/tex]

[tex]AQ \approx 14.866\,cm[/tex]

The length of the line segment AQ is approximately 14.866 centimeters.

Answer:

-3/4 meters could represent where the emerald is located in.

Step-by-step explanation:

Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. -0.75 or -3/4 could represent the depth at which the emerald is located.

Ignoring 12/6 date. . .Anyways, to find the answer first you have to look at all answers and figure out which negative numbers are between -1/2 and -1 2/3.

Long story short your answer is -3/4 meters :D

Answer:

$2419

Step-by-step explanation:

week2 - (week1 + week3) = difference

28473 - (13674 + 12380) = 2419

Answer:

5.2 degrees the mountain slope forms with the ground at sea level

The angle that the mountain slope forms with the ground at sea level is 20.64°

"The distance covered by an object in unit time."

"The longest side of a right triangle."

"In a right triangle for angle θ ,

sin(θ) = opposite side / hypotenuse "

For given example,

Consider the following figure for given example.

Sam starts skiing at the peak 97 yards above sea level.

⇒ XY = 97 yards

He skis down the mountain at a rate of 1.5 yards per second.

⇒ speed = 1.5 yards per second

It takes him 3 minutes to reach flat ground at sea level.

⇒ t = 3 minutes

⇒ t = 180 seconds

XZ is the distance between peak of a mountain and the ground.

Using speed formula,

⇒ speed = XZ / times

⇒ 1.5 = XZ / 180

⇒ XZ = 1.5 × 180

⇒ XZ = 270 yards

This means the hypotenuse of right triangle XYZ is 270 yards.

Now, we need to find the angle that the mountain slope forms with the ground at sea level.

[tex]\Rightarrow sin(\theta)=\frac{XY}{XZ}\\\\\Rightarrow sin(\theta)=\frac{97}{270}\\\\ \Rightarrow sin(\theta)=0.3526\\\\ \Rightarrow \theta = sin^{-1}(0.3526)\\\\\Rightarrow \theta=20.64^{\circ}[/tex]

Therefore, the angle that the mountain slope forms with the ground at sea level is 20.64°

Learn more about sin(θ) here:

https://brainly.com/question/1870057

#SPJ2

Answer:

25, 32, 40 can not form a right angle triangle.

Step-by-step explanation:

By Pythagoras theorem,

⇒ (40)² = (25)² + (32)²

⇒ 1600 = 625 + 1024

⇒ 1600 ≠ 1689

Answer:

Step-by-step explanation:

If A is parallel to B, then angles 2 and 4 are same side interior and they are supplementary. Thus,

2x + 10 + 4x + 80 = 180 and

6x = 90 so

x = 15

Answer:

Se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].

Step-by-step explanation:

A continuación, vamos a emplear las siguientes identidades trigonométricas:

[tex]\cos 2\alpha = \cos^{2} \alpha - \sin^{2}\alpha[/tex] (1)

[tex]\tan 2\alpha = \frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha}[/tex] (2)

Ahora aplicamos estas identidades a la identidad descrita en el enunciado:

[tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex]

[tex](\cos^{2}\alpha - \sin^{2}\alpha)\cdot \left(\frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha} - \tan \alpha \right) = \tan \alpha[/tex]

[tex](\cos^{2}\alpha -\sin^{2}\alpha) \cdot \left[\frac{2- (1-\tan^{2}\alpha)}{1-\tan^{2}\alpha} \right]\cdot \tan\alpha = \tan \alpha[/tex]

[tex](\cos^{2}\alpha - \sin^{2}\alpha) \cdot \left[\frac{1+\tan^{2}\alpha}{1-\tan^{2}\alpha} \right] = 1[/tex]

[tex](\cos^{2}\alpha -\sin^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = 1 - \tan^{2}\alpha[/tex]

[tex]\cos^{2}\alpha \cdot (1-\tan^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = (1-\tan^{2}\alpha)[/tex]

[tex]\cos^{2}\alpha \cdot (1+\tan^{2}\alpha) = 1[/tex]

[tex]\cos^{2}\alpha\cdot \sec^{2}\alpha = 1[/tex]

[tex]1 = 1[/tex]

Por tanto, se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].

Answer:the same?

4y=-3x+20

I’m not quite sure

Answer:

The answer is B. 0.1131 because the molecule has been observed and the hill is upwards so there you have

Answer:

6 percent

Step-by-step explanation:

None

Step-by-step explanation:

Let H = HCF(A,B) and L = LCM(A,B)

Then A*B = L*H

Here L*H = 100*5 = 500

Also H <= A ,B <= L

So we need to find all A*B = 500, satisfying the above condition. This can be done using prime factorisation of 500.

Here 500 = 2^2 * 5^3

so possible values of A and B are

1 , 500

2, 250

4, 125

5,100

10,50

20,25

(assuming order doesn’t matter.)

so pairs satisfying given condition are → (20,25) and (100,5)

You can write a computer program in language of your choice to do it for other bigger numbers.

Answer:

Kindly check explanation

Step-by-step explanation:

From the boxplot attached :

Summer lake :

Median = 60 ( point in between the box)

Variability is given by the Range = maximum - minimum = 80 - 40 = 40

Maximum number of visitors = 80

Summer lake distribution is approximately normally distributed, so number of daily visitors can be more accurately predicted on any given day

Canyon Overlook:

Median = 80 ( point in between the box)

Variability is given by the Range = maximum - minimum = 120 - 30 = 90

Maximum number of visitors = 120

Answer:

x = -3

Step-by-step explanation:

This is a vertical line.  The x value remains constant.

x = -3

Answer:

x= 5.45 or -5.45

Step-by-step explanation:

Answer:

3c + 9

Step-by-step explanation:

Remember to multiply everything in the brackets by the number outside the brackets.

Answer:

The conclusion is wrong

Step-by-step explanation:

The following steps are given

[tex]5(x-2)-3x=2(x-3)-16[/tex]

[tex]5x-10-3x=2x-6-16[/tex]

[tex]2x-10=2x-22[/tex]

[tex]-10=-22[/tex]

Required

The error

Going through the steps, we can see that there are no mistakes in any of the step.

However, the conclusion that there are infinitely many solutions is wrong

because the solution actually has no solutions.

Answer:

no solutions

I believe

hope I helped

Step-by-step explanation:

Answer:

The answer after rounding is 24

Step-by-step explanation:

You would round down 3.4 to 3 and round up 7.5 to 8

3 x 8 = 24

The actual answer of 3.4 x 7.5 is 25.5, so 24 isn't too far off.

Answer:

x= 52

Step-by-step explanation: you have a 90 degree angle the other side would be 90 also. you take 90 and subtract 38 to get the missing value?

Answer:

-1/3

Step-by-step explanation:

at x=0 y= 5

at x=3 y= 4

y=ax+b

b= 5

4=3x+5

3x= -1

x= -1/3

[tex]y = - \frac{x}{3} + 5[/tex]

Answer:

The base of a power is the factor that is repeatedly multiplied by itself.

Answer:

(g+5)x(g-3)

Step-by-step explanation:

Answer:

d. none of these

Step-by-step explanation:

Area of square= side ×side

Let x meters be the length of a side of the square.

Perimeter= 4(side)

4x= 40

Dividing by 4 throughout:

x= 40 ÷4

x= 10

Area of garden

= x²

= 10²

= 100m²

Answer:

d

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

40 divided by 16 = 2.5 .  350 divided by 2.5=140 hope this helped

Answer:

a) 41.666...%

b) 10/120 or 1/12

Step-by-step explanation:

50 students like volleyball and tennis out of 120 students surveyed. 50/120 as a percent is 41.6666666...%

10 students like volleyball but not tennis out of 120 students surveyed. 10/120 can also simplify to 1/12

:) ur welcome

Answer:

Total cost of meal = $188.60

if he paid 15% and left 15% altogether =15%+15%

=30%

Hence,the total cost will be

= $188.60 * 30/100

=$56.58

I hope this helps

Answer:

you will subtract the power

Answer:

- 8x + 17

Step-by-step explanation:

7(2 - x) - (x - 3)​

14 - 7x - x + 3

- 8x + 14 + 3

- 8x + 17

Answer:

who is the captain of the football team

Step-by-step explanation:

i might be wrong i havent taken a class that neads this, but all the others need a bunch of values from a group of people. this is just asking who someone is

Answer:

KE=112 [tex]\frac{kg * m^{2} }{s^{2} }[/tex]

Step-by-step explanation:

Kinetic Energy (KE) = (1/2)*mass*v^2

KE=(1/2)*.14*40^2

KE=112 [tex]\frac{kg * m^{2} }{s^{2} }[/tex]