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:

B) $16

Step-by-step explanation

Answer:

x = 16

Step-by-step explanation:

16 and x have the same length.

Answer: True

Step-by-step explanation:

5x(-2)x3=-30

-30=-30

the quality is true both sides are identical

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

74.15

Step-by-step explanation:

this is bc there are ten spaces between 74.1 and 74.2. halfway between that is another 00.05 points.

Answer:

74.15

Step-by-step explanation:

you can find the average, by adding 74.1 and 74.2 and dividing by 2, which would get you 74.15

you can look on a number line and find the midpoint that way

hope this helps :)

Answer:

length: 30 meters

width: 12 meters

Step-by-step explanation:

2(a+b) = 84

a = 2b + 6

a = length

b = width

then:

2((2b+6)+b) = 84

2b + 6 + b = 84/2

3b + 6 = 42

3b = 42 - 6

3b = 36

b = 36/3

b = 12

a = 2b + 6

a = 2*12 + 6

a = 24 + 6

a = 30

Check:

84 = 2(12+30)

84 = 2*42

If buses arrive at stop at "15-minute" intervals, then the probability that he waits more than 10 minutes for a bus is "1/3".

Let us denote the arrival-time of the passenger by X, where X is uniformly distributed between 7am and 7:30am. hence, the probability-density-function (pdf) of "X" is written as :

f(x) = 1/30, for 7am ≤ x ≤ 7:30am

f(x) = 0, otherwise

We observe that, the passenger will wait for more than 10 minutes for a bus only if he arrives between 7:00 a.m. and 7:05 a.m. , or between 7:15 a.m. and 7:20 a.m.

So, the probability for waiting time can be written as ;

⇒ \(\int\limits^5_0 {\frac{1}{30} } \, dx\) + \(\int\limits^{20}_{15} {\frac{1}{30} } \, dx\),

⇒ (1/30)(5 - 0) + (1/30)(20 - 15);

⇒ 1/3.

Therefore, the required probability is 1/3.

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The given question is incomplete, the complete question is

Buses arrive at a specified stop at 15-minute intervals starting at 7am. If a passenger arrives at the stop at a time that is uniformly distributed between 7am and 7:30am, find the probability that he waits more than 10 minutes.

Answer:

I think it's 19/4 because I looked it up and that's what it said

Answer:

I believe the answer would be $38

Step-by-step explanation:

You would first multiply 7 dollars times 4 hours that gives you $28

Then add $28 to $10 that gives you $38.  

Answer:

1

Step-by-step explanation:

Answer: Volume = 1330.6cm³

Step-by-step explanation:

The volume of a cylinder is expressed as:

"V= πr²h"

Base of the cylinder /diameter = 11cm

Hence radius = 11/2= 5.5cm

Length/height of cylinder = 14cm

Volume = 3.142*(5.5)²*14

3.142*30.25*14

1330.637cm³

1 decimal place is rounded to 1330.6cm³

Answer:

5321.9

Step-by-step explanation:

V= πr2h

so

π×11²×14= 5321.85796

5321.85796 rounder to 1 decimal place= 5321.9

Hope this helped you- have a good day bro cya)

Answer:

1280 in^3

Step-by-step explanation:

The volume of this rectangular prism-shaped body of water is

V = (length)(width)(height), which here is:

V = (16 in)(10 in)(8 in) = 1280 in^3

The volume of the water is 1280 in^3

Answer: 7

Step-by-step explanation:

19x-17x = 11 + 3

2x = 14

x = 7

9514 1404 393

Answer:

  4x +14 . . . feet

Step-by-step explanation:

The perimeter is given by ...

  P = 2(L+W)

  P = 2((x +4) +(x +3)) = 2(2x +7)

  P = 4x +14

The perimeter of the garden is 4x +14 feet.

Among the 5 options given in the question, the coordinates that satisfy the given inequalities are (1,8), (0,5), (-2,9). And the other two , donot satisfy the inequalities, hence (1,8), (0,5), (-2,9) are the required solutions.

The solutions to a system of linear inequalities are the coordinates that satisfy all the inequalities in the system. They are the points that are above the lines of the inequalities.

To determine if a point is a solution to a system of linear inequalities, we need to substitute the coordinates of the point into each inequality and check if it makes the inequality true. A point is a solution to the system if it makes all the inequalities true.

To check the solutions for the given linear inequallities,

1. y>-x+3

 for (1,8) , 8 > -1+3 i.e 8>2 , Hence Satisfied

  for (0,5) , 5> -0+3 i.e 5>3, Hence satisfied

  for (-2,9) , 9>-(-2) + 3 i.e 9>5, Hence satisfied

   for (0,0), 0>-0 +3 i.e 0>3 , Which is false

   for (-1,1) , 1 > 1 +3 ,i.e 1>4, which is false

2.y> 3x+1

 for (1,8) , 8 > 3*1+1 i.e 8>4 , Hence Satisfied

  for (0,5) , 5> 3*0+1 i.e 5>1, Hence satisfied

  for (-2,9) , 9>3*(-2) +1 i.e 9>-5, Hence satisfied

   for (0,0), 0>3*0+1 i.e 0>1 , Which is false

   for (-1,1) , 1 > 3*(-1)+1 ,i.e 1>-2, which is false

Hence the required solutions are (1,8), (0,5), (-2,9) which satisfy the both inequalities.

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Juana would have to pay approximately $29.40 in interest for the $10,686.00 loan over a 20-day period, assuming an annual interest rate of 5.79%.

The interest Juana would have to pay in 20 days can be calculated using the formula:

Interest = Principal × Interest Rate × Time

In this case, the principal amount is $10,686.00 and the interest rate is 5.79% per annum. To calculate the interest for 20 days, we need to convert the time to a fraction of a year. Since there are 365 days in a year, the time in years would be 20/365.

Using the formula and substituting the values:

Interest = $10,686.00 × 0.0579 × (20/365)

Calculating this expression, we find that the interest amount Juana would have to pay in 20 days is approximately $29.40.

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Answer: 14/3 or 3/4 are in 7/2

Step-by-step explanation:

Answer:

∠ PQR = 150°

Step-by-step explanation:

∠ PQR = ∠ PQS + ∠ SQR , substitute values

12x - 6 = 16 + 9x + 17

12x - 6 = 9x + 33 ( subtract 9x from both sides )

3x - 6 = 33 ( add 6 to both sides )

3x = 39 ( divide both sides by 3 )

x = 13

Then

∠ PQR = 12x - 6 = 12(13) - 6 = 156 - 6 = 150°

Answer:

m<PQR = 150°

Step-by-step explanation:

<PQR = (12x-6)°

<SQR = (9x+17)°

<PQS = 16°

find m<PQR.

since <SQR + <PQS = <PQR,

then (9x+17)° + 16° = (12x-6)°

combine like terms;

9x + 17 + 16

9x + 33 = 12x - 6

subtract 33 from both sides;

9x = 12x - 39

subtract 12x from both sides;

-3x = -39

divide by -3;

x = 13, then input x into the equation for m<PQR;

m<PQR = (12x-6)°,

(12(13)x - 6)°

(156 - 6)°

Answer: 150°

Given that the initial value problem y' + 2xy² = 0, y(1) = 1, we need to solve the differential equation.y' + 2xy²

= 0Rearrange the terms:y'

= -2xy²

Now, we can apply the separation of variables method to solve this first-order differential equation.=> dy/y²

= -2xdxIntegrating both sides, we get,∫dy/y²

= -∫2xdx=> -1/y

= -x² + C1 (where C1 is the constant of integration)Now, we can find the value of C1 by using the given initial condition y(1) = 1.Substituting x = 1 and

y = 1, we get,-1/1

= -1 + C1=> C1

= 0So, the equation becomes,-1/y

= -x² + 0=> y = -1/x²

Hence, the initial value problem y' + 2xy²

= 0, y(1)

= 1 is y

= -1/x² with the given initial condition.

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One minute has 60 seconds. So we want to know if the car can travel 200 meters in 1 second, how far can it go in 60 seconds?

The speed in meters per minute is 12,000

the correct question is

The parabola y = z^2 is changed to the form y = a(z - p)2 + q, by translating the parabola 2 units up and 4 units right and expanding it vertically by a factor of 3. What are the values of a, p, and q ?

-

we have

y=z^2 ------> parent function

vertex is (0,0)

y=a(z-p)^2+q

the translation is 2 units up and 4 units right

so

the rule is

(x,y) -----> (x+4,y+2)

so

y=a(z-4)^2+2

and

expanding it vertically by a factor of 3

the rule is

(x,y) -----> (x,3y)

therefore

y=3(z-4)^2+2

answer is

To test the hypothesis that the part is coming out longer than usual, we can use the concept of a z-score. The z-score measures how many standard deviations an observation is away from the mean.

Given that the population mean is 12.05 cm, the population standard deviation is 0.396 cm, and we have a sample size of 20 with a sample mean of 12.12 cm, we can calculate the z-score using the formula:

z = (x - μ) / (σ / √n)

Where:

x is the sample mean (12.12 cm),

μ is the population mean (12.05 cm),

σ is the population standard deviation (0.396 cm), and

n is the sample size (20).

Plugging in the values:

z = (12.12 - 12.05) / (0.396 / √20)

Calculating the value gives:

z ≈ 0.1769

Therefore, the z-score that would be used to test the hypothesis that the part is coming out longer than usual is approximately 0.1769.

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Answer:

24

Step-by-step explanation:

12*2=24

7*3=24

3*7=24

4*6=24

Hope this helps!

Answer: 8

Step-by-step explanation: If we can define $ as k$, this would mean /frac32 would be K+($6). So, the answer is 8

Answer:

-2

Step-by-step explanation:

-6 - (-4)

Subtracting a negative is like adding

-6 +4

-2

Answer:

-2

Step-by-step explanation:

Remove Parentheses:

-6 + 4

Subtract:

-6 + 4

Answer:

-2

Hope this helped Brainliest is appreciated.

Answer:

B.

Step-by-step explanation:

If x is a number, then twice a number is 2x. The difference between 17 and 2x is 17-2x.

Common Error:

A. says 17 less than twice a number. Since it is 17 less, it is 2x-17 not 17-2x.

Hope this answer helped! :)

We can conclude that the null hypothesis is rejected. There is sufficient evidence to support the claim that the mean cost in Utah hospitals is below the national mean of $1231.

H₀: μ ≥ 1231 (The mean cost in Utah hospitals is greater than or equal to the national mean)

Hₐ: μ < 1231 (The mean cost in Utah hospitals is below the national mean)

Given

The test statistic for a one-sample t-test is given by

t = (x - μ) / (σ / √n)

Substituting we have

t = (1103 - 1231) / (252 / √25)

≈ -6.103

To determine the critical value, we need to find the critical t-value at the 5% significance level with degrees of freedom

(df) equal to (n - 1)

= (25 - 1)

= 24.

Using a t-distribution table or calculator, the critical value is approximately -1.711.

Since the calculated test statistic (-6.103) is smaller than the critical value (-1.711) and falls into the critical region, we reject the null hypothesis.

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The objective function and/or the constraints are not linear functions of the decision variables.

Nonlinear models are mathematical models in which the objective function and/or the constraints are not linear functions of the decision variables. Nonlinear models cannot be solved using classical optimization techniques. Instead, numerical methods must be used. In a nonlinear model, the solution will not be unique. The solution will depend on the initial values chosen for the decision variables.

Nonlinear models can be formulated as either unconstrained or constrained. In an unconstrained nonlinear model, there are no constraints on the decision variables. In a constrained nonlinear model, there are constraints on the decision variables. Nonlinear programming is used to solve nonlinear models. Nonlinear programming involves the use of numerical methods to find a solution to a nonlinear optimization problem. Nonlinear models are used in many different areas, including engineering, economics, physics, and biology.

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Answer:

Step-by-step explanation:

\(5\frac{1}{6}=\frac{(5*6)+1}{6}=\frac{31}{6}\)

Answer:

31/6 (improper fraction).

Step-by-step explanation:

5 1/6 = (6 × 5) + 1/6 = 31/6

31/6 is the improper fraction.

Answer:

Step-by-step explanation:

6(x+4)=30

So wee need to find out what multiplied by 6 =30

30/6=5

Now wee need to figure out what plus 4 equals 5

5-4=1

1+4=5

6(1+4)=30

So x=1

Hope this helps!^^