An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The mean lifetime of a random sample of 2000 new bulbs is found to have a mean lifetime of 1201 hours. Although the difference from the old mean lifetime of 1200 hours is quite small, the P-value is 0.03 and the effect is statistically significant at the 0.05 level. If, in fact, there is no difference between the mean lifetimes of the new and old designs, the researcher has:________

a. committed a type 1 error
b. committed a type 2 error
c. a probability of being correct, which is equal to the P-value
d. a probability of being correct, which is equal to 1-(P-value)

Answer:

p = $150

Step-by-step explanation:

Let p represent the original price.  Then 10% of that is the discount:  0.10p.

The price after discount is 90% of the original price, or (1.00-0.10)p = 0.90p = $135.  We next solve this equation for p:  0.90p = $135, or p = $150.

╔═.✵.══════════╗

      A  N  S  W  E  R

╚══════════.✵.═╝

✩ ✩ ✩

It depends on the speed the car is going. If you are going 1 MPH you will drive a single mile per hour, but 2 MPH is 2 miles per hour. That's where the term "MPH" comes in, it tells you how many miles you will be driving per hour.

MPH = Miles Per Hour

Hope this helped, love!  ✩ ✩ ✩

Answer:

a+20/40 < a+10/20

Step-by-step explanation:

Answer:

m<1 = 150°

Step-by-step explanation:

Given:

m<1 = (4x + 50)°

m<2 = (7x - 25)°

Required:

m<1

Solution:

To find m<1, we need to create an equation that will enable us determine the value of x.

Thus,

4x + 50 = 7x - 25 => corresponding angles are congruent to each other

4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)

-3x + 50 = - 25

-3x + 50 - 50 = -25 - 50 (substraction property of equality)

-3x = -75

-3x/-3 = -75/-3 (division property of equality)

x = 25

✅m<1 = (4x + 50)°

Plug in the value of x

m<1 = 4*25 + 50 = 100 + 50

m<1 = 150°

Answer:

[tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

insert points

[tex]\frac{1-(-6)}{(-4)-10}[/tex]

solve

[tex]\frac{7}{-14}[/tex]

[tex]\frac{-1}{2}[/tex]

Answer:

34 degrees

Step-by-step explanation:

The equation that represents this situation is

2t - 7 = 61

to solve, start by adding 7 to both sides

2t = 68

then divide both sides by 2

t = 34

Answer:

A = $3136.86

Step-by-step explanation:

Given the following data;

Principal = $2700

Interest rate = 3% = 3/100 = 0.03

Number of times = 52

Time = 5 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2700(1 + \frac{0.03}{52})^{52*5}[/tex]

[tex] A = 2700(1 + 0.0005769)^{260}[/tex]

[tex] A = 2700(1.0005769)^{260}[/tex]

[tex] A = 2700(1.1618)[/tex]

A = $3136.86

Answer:

D as 32 divided by 8 is 4

Step-by-step explanation:

A quotient is a result obtained by dividing one quantity by another.

Answer:

The second choice is the correct answer. d/8=4

Step-by-step explanation:

if something is a quotient it means it is the solution of a division problem. So we know it cant be the first. the last one doesn't make sense because it says that 8 and a number d equals 4 so it cant be that 8*4=d. that also goes for the third problem because it has to equal 4 and that equals d not 4.

To find this out we see that because it is the quotient of a number and 8 is 4, that means that we have to have a number divided by 8, the only one with that is the second one.

Answer:

12

Step-by-step explanation:

Answer:

12

Hope this helps! Have a nice day!

If you drove at 80mph it would take you approximately 3 hours

This is because 60 is 75% of 80 and 3 hours is 75% of 4 hours.

25% of 4 hours is 1 hour

4 hours - 1 hour = 3 hours

Answer:Your left hand side evaluates to:

m+(−1)mn+(−1)m+(−1)mnp

and your right hand side evaluates to:

m+(−1)mn+(−1)m+np

After eliminating the common terms:

m+(−1)mn from both sides, we are left with showing:

(−1)m+(−1)mnp=(−1)m+np

If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:

(−1)(−1)mn=(−1)n.

It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:

(−1)(−1)mn=(−1)−n=1(−1)n

Multiplying both sides by (−1)n then yields:

1=(−1)2n=[(−1)n]2 which is always true, no matter what n is

Answer:

13.16

Step-by-step explanation:

formula= (absin∅)/2

= (4×9×sin47)/2

= 13.16

Answer:

-5

Step-by-step explanation:

(1/2)^x=2^-x

32=2^5

2^-x=2^5

-x=5

x=-5

Answer:Answer:

-5

Step-by-step explanation:

(1/2)^x=2^-x

32=2^5

2^-x=2^5

-x=5

x=-5

Step-by-step explanation:

Answer:

Think it 89mm

Step-by-step explanation:

9514 1404 393

Answer:

  10π meters

Step-by-step explanation:

The circumference of the island is given by the formula ...

   C =  πd

where d represents the diameter of the circle.

Halfway around is half the circumference, so the distance the penguin swam is ...

  1/2C = (1/2)π(20 m) = 10π m

The penguin swam 10π meters.

Answer:

10pi

Step-by-step explanation:

The circumference of the island is given by the formula ...

  C =  πd

where d represents the diameter of the circle.

Halfway around is half the circumference, so the distance the penguin swam is ...

 1/2C = (1/2)π(20 m) = 10π m

Answer:

77 cubed in.

Step-by-step explanation:

I think it is 77 cubed inches because the formula is V-bh

Answer:

y=4x+9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-(-11))/(-2-(-5))

m=(1+11)/(-2+5)

m=12/3

m=4

y-y1=m(x-x1)

y-(-11)=4(x-(-5))

y+11=4(x+5)

y=4x+20-11

y=4x+9

Answer: 6$

Step-by-step explanation: 5 divided by 10 = 2$ so 3 x 2 = 6

I do not hold responsibility if you get it wrong :(

Answer:

x = 23

Step-by-step explanation:

15 + 8 is 23 so x = 23

Answer:

11

Step-by-step explanation:

Answer:

36/9=4

Step-by-step explanation:

i tried it on khan it worked

Answer:

Part B

How does this change in setting affect Miguel? Choose two answers.

A.

Miguel asks his mom if he can transfer to a different middle school.

B.

Miguel becomes a more focused student.

C.

Miguel begins to struggle in his Language Arts class as well.

D.

Miguel makes a new friend.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

households

Step-by-step explanation:

An observational units are defined as the entity for which the information is received and the statistics are compiled of in the process of collecting the statistical data. It is also known as the statistical unit.

In the context, National Retail Federation is conducting a survey asking various households how much they are planning to spend on the memorial day. So the observational units in this study are the household because the information are collected on the basis of each household going to spend on the Memorial day.  

The observational units in this will be households.

An observational unit is defined as the entity for which the data is received and the statistics are collected in the process of collecting the statistical data. It is also known as the statistical unit.

In this context, National Retail Federation is executing a survey asking various households how much they are planning to spend on memorial day.

So the observational units in this study are the household because the information is gathered on the basis of each household going to expend on Memorial day.  

Thus the observational units in this will be households.

To know more about Observation follow

https://brainly.com/question/25843544

Answer:

idontknow

Step-by-step explanation:

Answer:

Answer:He has 63 dimes

Step-by-step explanation:

Hope this helps!

24% of 150=36

51+36=87

150-87=63