Mathematics College

Bob has a bulb factory that produces two types of bulbs: white light (x) and color light (y). It is known that the standard deviation of service life for the population of white light bulbs is hours and hours for color bulbs, both are normally distributed. He tested the mean service life of those two types of bulbs by randomly drawing a sample of 20 bulbs from each type. The estimated mean service life are hours and hours. Assume that . What is the absolute value of the t-statistic if the null hypothesis is that both types of bulbs have the same service life?

Answers

Answer 1

Answer:

The answer is "3.51".

Step-by-step explanation:

[tex]\to t=\frac{\bar{x}-\bar{y}}{\sqrt{\frac{\sigma_x^2}{n_x}+\frac{\sigma_y^2}{n_y}}}\\\\[/tex]

      [tex]=\frac{960-945}{\sqrt{\frac{14^2}{20}+\frac{13^2}{20}}}\\\\=\frac{15}{\sqrt{\frac{196}{20}+\frac{169}{20}}}\\\\=\frac{15}{\sqrt{\frac{196+169}{20}}}\\=\frac{15}{\sqrt{\frac{365}{20}}}\\\\=\frac{15}{\sqrt{18.25}}\\\\=\frac{15}{4.27}\\\\=3.51[/tex]

Bob Has A Bulb Factory That Produces Two Types Of Bulbs: White Light (x) And Color Light (y). It Is Known

Related Questions

Khan academy pls help. Pls and thx!!!

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Step-by-step explanation:

the energy the model will output in 10 years

10(2M+3S)

Help plsssss ......................

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Answer:

3/5 of the lawn was mowed

Step-by-step explanation:

1/5 + 2/5 = 3/5

Answer:

3/5

Step-by-step explanation:

1/5+2/5=3/5

If y= 1/2x and x = -14 find y

Answers

Answer:

y = -7

Step-by-step explanation:

y = 1/2x

x = -14 (given)

y = 1/2 × (-14)

= -7

Answer:

y= -7

Step-by-step explanation:

Just plug -14 in for x to calculate y

y=1/2(-14)= -7

please give answer and ill give brainliest

Answers

Answer:

42.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

you add both top and bottom which is 17 then divide 17 ÷2 which is 8.5 and then multiply by 5 which gives you 42.5 m

What is the value of K?

Answers

The value of K is 10

Find the gradient of the line segment between the points (2,3) and (4,7)

Answers

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values

Uhhhhh.....help is needed.

Answers

Answer:

D.

Step-by-step explanation:

Look for the closed circle with the arrow pointing to the right on this one.

Your answer would be D

someone please help me answer this

Answers

Answer:

a = 57 mm is the answer.

Step-by-step explanation:

a = ?

b = 76 mm

c = 95 mm

According to the Pythagoras theorem,

a² + b² = c²

a² + 76² = 95²

a² + 5776 = 9025

a² = 9025 - 5776

a² = 3249

a = 57 mm

∴ a = 57 mm is the length of the missing leg.

Answer:

57 mm

Step-by-step explanation:

To solve for a, we can use the Pythagorean Theorem.

a² + b² = c²

We have to solve for a, and we are given values for b and c, c being the hypotenuse.

This is what we know-

a² + 76² = 95²

We can simplify this to-

a² + 5776 = 9025

To solve for a, we have to isolate the variable on on side of the equals sign. So, we can subtract 5776 from both sides.

a² + 5776 - 5776 = 9025 - 5776

Simplify.

a² = 3249

Finally, to solve for a, find the square root of a².

[tex]\sqrt{3249^{2}[/tex] = 57

So, a = 57 mm

I hope this is helpful :) Good luck ^^

4x^2+5y^2=41
3x^2-4y^2=23

Answers

Answer:

i dont know the answer sry

Step-by-step explanation:

srryyy

If P = (3,2), find the image
of P under the following rotation.
270° counterclockwise about the origin
([?], [])

Answers

Given:

The point P = (3,2) is rotated 270° counterclockwise about the origin.

To find:

The image of the given point after rotation.

Solution:

If a point rotated 270° counterclockwise about the origin, then the rule of rotation is:

[tex](x,y)\to (y,-x)[/tex]

Using this rule, we get

[tex]P(3,2)\to P'(2,-3)[/tex]

Therefore, the image of given point P = (3,2) after the rotation of 270° counterclockwise about the origin, is P'(2,-3).

A store applies a 120% markup to an item and sells it for $80.08. What was the value of the item before the markup was added?

Answers

Answer:

66.7333

Step-by-step explanation:

if 120 =80.08 what about 100

100×80.08÷120

=66.733

The given graph represents the function f(x) = 2(5)^x
[tex]f(x) = 2( {5})^{x} [/tex]
How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0​
a) the graph will increase at a slower rate
b) the graph will show a decreasing, rather than increasing, function
c) the graph will show an initial value that is lower on the y-axis
d) the graph will increase at a constant additive rate, rather than a multiplicative rate

Answers

Answer:

C

Step-by-step explanation:

in exponential equations f(x)=ab^x , a is the intial amount while b is the growth factor. you are just decreasing a so the intial value is lower (=^w^=)

Answer:

Step-by-step explanation:C

someone please help me answer this!!

Answers

Answer:

c = 9.4m is the answer

Step-by-step explanation:

a (length of the telephone pole) = 9m

b (distance between the pigeon and the pole) = 3m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

9² + 3² = c²

81 + 9 = c²

c² = 90

c = 9.4m

∴ the pigeon will fly 9.4m

What is the greatest common divisor of 48 and 42?​

Answers

Answer:

B. 6

Step-by-step explanation:

It's difficult to explain, but from the answer I got is 6

as the greatest common divisor of 48 and 42.

answer choice - B:- 6

does anyone know this?

Answers

Answer:

v = u = 75.8

Step-by-step explanation:

Can somebody help me please I will mark u brilliant

Answers

1/2 cubic foot is the answer

Answer: The volume is 1/12 cubic foot.

Step-by-step explanation:

V= l*w*h

V= 1 1/2* 1/6*1/3

V= 1/12

which of the following is a factor of 18? a)3 b)4 c)30 d)60​

Answers

Answer:

A) 3

-------------

Answer:

3

Step-by-step explanation:

because 18/3 = 6

or 6 x 3 = 18

so it is a factor of 18

Choosing Solutions plz help me no links

Answers

Answer:

b, c, d, e

Step-by-step explanation:

b c d are correct options

Andre swims 5 laps in just 4 minutes, if Andre swam 22 laps, how many minutes did it take him? Please I need answer as fast as you can type. This answer is worth 200% of my grade, it could make me go from A to a literal Z

Answers

Answer: 17.6 minutes

Step-by-step explanation: im not sure if u can use decimals tho

if Andre swam 5 laps in 4 minutes, that means it took him 0.8 minutes to swim each lap. 0.8 times 22 = 17.6 so it took him 17.6 minutes to swim 22 laps.

Can someone please help me with this

Answers

Answer:ok

Step-by-step explanation:

M=2 and (-2,4) write the equation of a line in slope intercept form

Answers

Answer:

y=2x+8

Step-by-step explanation:

y-y1=m(x-x1)

y-4=2(x-(-2))

y-4=2(x+2)

y=2x+4+4

y=2x+8

A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?

Answers

3/4 cups of water is needed for one cup of milk

Somebody Please help!!!

Answers

Answer:

Slope, m = -8

Step-by-step explanation:

Given the following data;

Points on x-axis (x1, x2) = (2, 3)

Points on y-axis (y1, y2) = (5, -3)

To find the slope, m;

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {-3 - 5}{3 - 2} [/tex]

[tex] Slope, m = \frac {-8}{1} [/tex]

Slope, m = -8/1

Slope, m = -8

Which trigonometric function is an odd function and why?

Answers

Answer:

Last one D.

Step-by-step explanation:

Just remember x, f(–x) = –f(x).

11 out of the 22 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?

Answers

Answer:

50% of the employees work part time.

Step-by-step explanation:

11/22=0.5

0.5 *100=50

Decide whether the statement is true or false.
{2, 15, 6} U Ø = {2. 15, 6)​

Answers

Iehejejakkajsnsjananamdowojansnw

Answer:

False

Step-by-step explanation:

a percent of
Yidosol 3,3,200
are
7
boys. What percent of the class are boys?
In a class where the number of girls is 36% of the total number, there are 48
boys. How many students are there in the class?
Challenge Problems
8. The total attendance at aconcert in a theater hall was 1500, of this total 400
children, 850 were women, and the remaning were men. Find the
were
percent of the total attendance represented by:
a. Children
b. Women
c. Men
. The base is one greater than the amount. If the percentage is 93.75, then fin
the amount and the base.
10. Hiwot has Birr 46,000 in her account. If she plans to invest 26% of
saving in establishing a kindergarten, find the
int required​

Answers

Answer:

aeafscgefgdderhgdthdg

Which of the following is not equivalent to 10 divided by 80
10/80
80/10
80 divided by 10
8

Answers

the second, third and fourth
Ummm well 80/10 isn’t equivalent.. and 80 divided by 10 isn’t equivalent either... and 8 isn’t equivalent either
Have a great day :)

1. Gina saved 3,000 in an account that offered 3.8% simple interest for 240 days. Find the accumulated amount using ordinary simple interest. (3076)​

Answers

Answer:

3,114 in 240 days

Step-by-step explanation:

3000 x 0.038=114

114+3000=3114

Eva's mother will add $5 to all other
donations that she collects for the school
fund drive.
Let a = all other donations.
Let t = total donations.
Graph t = a + 5.

Answers

Answer:

hope it helps you...

The points of the graph are (10,15)(20,25)(5,5)

Step-by-step explanation:

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