a manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. a homeowner selects 40 bulbs and finds the mean lifetime to be 1480 hours with a population standard deviation of 80 hours. test the manufacturer's claim. use alpha equal to 0.05. state the sample mean and the population standard deviation.

Answer:

y + 5 = -3(x - 0)

Step-by-step explanation:

First, you find the slope. To do that, you subtract the second y point (in this case 4) by the first y point (in this case -5), and you get 9. Then, you subtract the second x point (in this case -3) by the first x point (in this case 0), and you get -3. Y is over X, so you get 9/-3 or 9 over -3, which can simplify to -3.

Next, you use the point slope formula: y - y1 = m(x - x1). Add in the y1, m, and x1, then solve if it asks you to put it in slope intercept form. So, for this case, it would be y + 5 = -3(x - 0)

Yay!!!! :D

Answer:

they are integers

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

cause there isnt any zero

Answer:

x = 108 because of supplementary angles

Step-by-step explanation:

Solving for x:

Since x and 72 are supplemenatry angles, they'll equal to 180, so:

x + 72 = 180

x = 180 - 72

x = 108

Answer:

6x+5 us the length of the rectangle

Step-by-step explanation:

If A = 12x² - 8x - 15 and w = 2x - 3, then..

l = (12x² - 8x - 15)/(2x - 3)

= (2x - 3)(6x + 5)/(2x - 3)

= 6x + 5 cm

Answer:

~20.6155

Step-by-step explanation:

To compute distance between two points, we can get the vector from one to the other by subtracting them and then computing the length of the vector.

The length of a vector V is:

[tex]|V| = \sqrt{\sum_{i=1}^n v_i^2}\\[/tex]

The vector is:

(9, -5. 4) - (-10, 3, 4) = (9 + 10, -5 - 3, 4 - 4) = (19, -8, 0)

So the length is:

[tex]\sqrt{19^2 + (-8)^2} = \sqrt{361 + 64} = \sqrt{425} = \sqrt{5\cdot 5\cdot 17} = 5\sqrt{17} \approx 20.6155281281[/tex]

Answer:

A

Step-by-step explanation:

The secant- secant angle is half the difference of the intercepted arcs, then

[tex]\frac{1}{2}[/tex] (20x - 7x - 11) = 40 ( multiply both sides by 2 to clear the fraction )

13x - 11 = 80 ( add 11 to both sides )

13x = 91 ( divide both sides by 13 )

x = 7

Then

arc HD = 20x = 20 × 7 = 140° → A

Answer:

Step-by-step explanation:

Find f(0):

Find f(5):

Average rate of change:

Answer:

5/8

Step-by-step explanation:

1/2=4/8

4/8+1/8=5/8

Answer:

AOE = 138, EOD = 48

Step-by-step explanation:

Since AD is the diameter of the circle and goes through the middle

angle AOE + angle EOD  = 180

Solving the equation (x + 138) + ( x+ 48) = 180

We get x = 0.

Answer:

4/15

Step-by-step explanation:

Total event: 6+4=10

First draw: 6 white out of 10 marbles  6/10

2nd draw: 4 black out of 9 marbles  4/9

probability of drawing a white marble on the first draw polo buy a black marble on the second: 6/10 x 4/9 = 4/15

Answer:

2/4

Step-by-step explanation:

2/4 = 4/8

They both equal 1/2

Answer:

the first one

Step-by-step explanation:

Answer:

Infinite number of solutions.

Step-by-step explanation:

Y=5x+1

-5x+Y=1

substitute value of y in first equation (5x+1) into 2nd equation

-5x+5x+1=1

0+1=1

1=1

since answer equals on both sides of the equatio, the answer is determined to be infinite.

Answer:  Function A= (0,8)

Function B= (0,2)

{(-4,12),(0,-1),(4,0),(x,y)} =6(4.0),(x,y)

I didn’t do the last one I’m sorry

Step-by-step explanation:

1.1592.5in

3.2521.91mm

Answer:

n=3

Step-by-step explanation:

To solve the equation divide both sides by 4.

I'm assuming that you want to find n...

Answer:

The top one

Step-by-step explanation:

Just count how many are in each catagory

Answer:

The First One

Step-by-step explanation:

Don't Ask How Long It Took

Answer: 8

Step-by-step explanation: It's just GCF.  The greatest common factor (GCF) of 8 and 16 is 8 (8 and 16 are both divisible by 8 but not by anything greater) which brings us to our answer.

Answer:

21/30 = 7/10 = 0.7

Step-by-step explanation:

spliting up 21 dollars among 30 winners, is dividing 21 by 30. When you do this you can simplify it to 21/30 = 7/10. 7/10 is equal to 0.7.

Answer:

$0.7

Step-by-step explanation:

As you may know, instead of saying divide. You can say split. So $21 split between 30 people would be $0.7 or 70 cents.

Answer:

It's hard to make out which is x and y, if x is lower right and y is at the top, then:

x = 55°

y = 70°

Step-by-step explanation:

x = 55° because it is an isosceles triangle

y = 180° - 55° - 55° = 70°

Answer:

z = - 1

Step-by-step explanation:

Given

- 18 = 9z - 9 ( add 9 to both sides )

- 9 = 9z ( divide both sides by 9 )

- 1 = z

Answer:  $61.50

Step-by-step explanation:

To do this you need to first find 18% of 75 which is 13.5 or $13.50 and then subtract that from the original price being $75 and you get $61.50

HOPE THIS HELPS ^^

Answer:

The answer is 61 dollars and 50 cents. So 61.5.

Answer:

?

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

x = 557 to the nearest whole number

Step-by-step explanation:

The triangle is divided into two right triangles

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 29 = (x/2)/502

x/2 = 502 tan 29'

x/2 = 278.26

x = 278.26 * 2

x = 556.52

x = 557 to the nearest whole number

A) Use the distance formula to find the length of each side, and then add the lengths.