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2. A consumer watchdog organization received customer complaints about
the performance of one brand of batteries. To investigate, the researchers
purchased 24 of these batteries and ran them until they died. This sample
lasted a mean of 47 hours with a standard deviation of 3 hours.
a) What assumption must we make about battery life in order to use a t
model?
b) Find a 95% confidence interval for the mean lifespan of this brand of
batteries.
c) Write a conclusion based on your confidence interval.

Answer: [tex]x^{2} +4x - 12 = 0[/tex]

Step-by-step explanation:

To find the quadratic equation when the roots are given , we will use the formula:

[tex]x^{2} -[/tex] sum of roots[tex](x)[/tex] + product of roots = 0

sum of roots = -6 + 2 = -4

product of roots = -6(2) = -12

substituting into the formula, we have

[tex]x^{2} - (-4) +(-12) = 0[/tex]

[tex]x^{2} +4x - 12 = 0[/tex]

Answer: 4.50 + p

Step-by-step explanation: For this problem we will write and simplify an expression to represent how much more Elana spent.

8.75 + 5p - (4.25 + 4p)        ---Distribute the negative sign to the numbers inside the parentheses.

8.75 + 5p - 4.25 - 4p            ---Combine like terms

8.75 - 4.25 + 5p - 4p

4.50 + p

So, the expression 4.50 + p represents how much more Elana spent.

Final answer:

Elana spent $4.50 plus the price of 1 pound of cherries more than Taniy. The expression representing this difference is simplified to $4.50 + p.

Explanation:

To find out how much more Elana spent than Taniy, we'll write an expression representing the total amount each person spent, using p as the variable for the price per pound of cherries. Elana's total spending is the cost of the watermelon plus the cost of cherries, expressed as 8.75 + 5p. Taniy's total spending is the cost of the pineapple plus the cost of cherries, expressed as 4.25 + 4p. To find the difference in their spending, we subtract Taniy's total from Elana's total.

The expression representing how much more Elana spent is:

(8.75 + 5p) - (4.25 + 4p)

Now we simplify the expression:

8.75 + 5p - 4.25 - 4p which simplifies to 4.50 + p.

Therefore, Elana spent $4.50 plus 1 pound of cherries more than Taniy.

Answer:

4

Step-by-step explanation:

1 + 3 = 4

Hope this will help u ...

Step-by-step explanation:

Radius is half of the diameter

Circumference is 2*pi*radius

Area is pi*radius^2

So r (radius)= 10.3

C (circumference)=64.72

and A (area)=333.29

feel free to ask more questions :)

Step-by-step explanation:

Diameter = 20.6

[tex]radius = \frac{diameter}{ = 2} = \frac{20.6}{2} = 10.3 \: ft \\ \\ c = \pi \:d = 3.14 \times 20.6 = 64.68 \: ft \\ [/tex]

Answer:

6

Step-by-step explanation:

the middle number of the given list

Answer:

median = 6

Step-by-step explanation:

5, 7 are in the middle.

You add these and divide by 2 to get the median.

The value of y in the given equation equals -3.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given equation is,

5(y + 2/5) = -13

We have to find the value of y.

Using the distributive property,

5(y + 2/5) = (5y) + (5 × 2/5)

So,

(5y) + (5 × 2/5) = -13

5y + 2 = -13

Subtracting both side by 2, we get,

5y = -13 - 2

5y = -15

Dividing both sides by 5,

y = -3

Hence the value of y is -3.

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Final answer:

To solve the equation 5(y + 2/5) = -13, you distribute the 5 across the parentheses, subtract 2 from both sides, and then divide by 5 to find that y = -3.

Explanation:

To find the value of y in the equation 5(y + 2/5) = -13, we will follow several steps to isolate y. First, we apply the distributive property of multiplication over addition, which gives us 5y + 2 = -13.

Next, we subtract 2 from both sides of the equation, obtaining 5y = -15. Finally, we divide both sides of the equation by 5 to solve for y, resulting in y = -3.

Answer:

cytokineses

Step-by-step explanation:

The phase of the cell cycle where the cytoplasm splits apart and the cell separates into two identical daughter cells is referred to as cytokinesis.

The phase of the cell cycle in which the cytoplasm splits apart and the cell separates into two identical daughter cells is called cytokinesis.

Cytokinesis usually follows the other stages of the cell cycle. To put these stages in context: anaphase is the phase in which the chromosomes separate, followed by telophase, in which the separated chromosomes reach opposite ends of the cell. Cytokinesis then occurs, physically splitting the cell in two and thereby creating two identical daughter cells.

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Answer:

Step-by-step explanation:

3.8×10^{-5}:8.1×10^3

[tex]\frac{3.8 \times 10^{-5}}{8.1 \times 10^3} \\\approx4.69 \times 10^{-9}[/tex]

Performing this mathematical operation in scientific notation gives us the answer 4.691 x 10^-8.

To solve this mathematical problem, we will first divide the coefficients and then subtract the exponents of the 10s, because we are dividing. The operation 3.8 ÷ 8.1 equals approximately 0.4691. However, we have to express the coefficient in scientific notation, so we adjust it to 4.691. At the same time, we adjust the exponent by adding 1 to it, to account for the fact that we moved the decimal one place. The operation -5 - 3 equals -8. So, the final answer is [tex]4.691 \times 10^-8.[/tex]

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Answer:

the answer is 41

Step-by-step explanation:

90-49=41

Answer:

b is 49 because 90-41equals 49

Answer:

4 Hr.

Step-by-step explanation:

Given,

Your pump alone can empties the water in = 8 hrs

With the help of friend pump it take = 2.67 hr

time taken by friends to empty the whole tank = t = ?

We have,

[tex]\dfrac{1}{8}+\dfrac{1}{t}= \dfrac{1}{2.67}[/tex]

[tex]\dfrac{1}{t}= \dfrac{1}{2.67}-\dfrac{1}{8}[/tex]

[tex]\dfrac{1}{t}=0.2499[/tex]

[tex]t = \dfrac{1}{0.2499}[/tex]

[tex]t = 4\ hrs[/tex]

Time taken to empty the tank by the friends pump alone is equal to 4 Hr.

The time taken should be 4 hours.

Since Your pump empties the water from a swimming pool in 8 hours. When your friend's pump is used together with your pump, the pool is emptied in 2 hours and 40 minutes.

So, here the time taken be

[tex]1\div 8 + 1\div t = 1\div 2.67\\\\1\div t = 1\div 2.67 - 1\div 8\\\\1\div t = 0.2499[/tex]

t = 4 hours

hence, The time taken should be 4 hours.

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Answer:

option A. 11 units

Step-by-step explanation:

we know that

The figure show a parallelogram

In a parallelogram the diagonals bisect each other

so

[tex]PZ=\frac{1}{2}XZ[/tex]

[tex]XP=PZ[/tex]

substitute the given values

[tex]4x-1=\frac{1}{2}(7x+1)[/tex]

solve for x

[tex]8x-2=7x+1\\8x-7x=1+2\\x=3[/tex]

Find the value of PZ

[tex]PZ=4x-1[/tex]

substitute the value of x

[tex]PZ=4(3)-1=11\ units[/tex]

therefore

[tex]XP=PZ=11\ units[/tex]

continuous i believe.

Answer:

x= -b/2a

Step-by-step explanation:

hello :

 y = ax²+bx+c .... (a≠0)

the equation of the axis of symmetry of this graph is : x= -b/2a

Answer:

translation maybe

Answer:

1) d

2) f

3) a

Step-by-step explanation:

1) 6² = 36 cm²

2) ½ (pi × (6/2)²)

= 14.14 cm²

3) 36 + 4(14.14)

= 92.56 cm³

Answer: The individual has 27.056 pounds of body fat to be exact, and rounded to the nearest tenth is 27.1 lbs of body fat.

Answer:

20

Step-by-step explanation:

because they end with same hour just subtract 25 from 45

45 -25= 20

Answer:

they get $2.25

Step-by-step explanation:

9 divided by 4 equals

Answer:

What is the tables?

Step-by-step explanation:

Answer:

He saw 9 movies :0

Step-by-step explanation:

First, you take the total cost and subtract the one time cost from it ($68 - $14 = $54) Next, you take the $54 and divide it buy the cost of dollars per movie. ($54/$6 = 9)

So, 9 is your answer.

Hope this helps!!

Final answer:

To find the number of movies Fern saw, subtract the cost of the discount movie pass from the total amount she spent and then divide the result by the cost of each movie ticket. Fern saw 9 movies.

Explanation:

To find the number of movies Fern saw, we need to subtract the cost of the discount movie pass from the total amount she spent and then divide the result by the cost of each movie ticket.

The cost of the discount movie pass is $14, and Fern spent a total of $68. So, $68 - $14 = $54 is the amount she spent on movie tickets.

Since each movie ticket costs $6, we divide the amount she spent on movie tickets by the cost of each movie ticket: $54 ÷ $6 = 9.

Therefore, Fern saw 9 movies.

-11x+9 is the answer

Answer:

[tex]x - 1 + ( - 12x) + 10 \\ x - 1 - 12x + 10 \\ x - 12x - 1 + 10 \\ = - 11x + 9[/tex]

Answer:

its 6

Step-by-step explanation:

A soccer ball is in the form of a Sphere.

Volume of a Sphere: V = (4/3)πr3

In this case, V = 288π cm3. So:

1) Substitute the known value into the equation: 288π = (4/3)πr3

2) Notice the π value is on either side of the equation. It cancels: 288 = (4/3)r3

3) Simplifying: r3 = 216

4) Solving for r yeilds : r = 6 cm

The radius (r) of a soccer ball with a volume of 288 cm3 is 6 cm

Answer:

its 6

Step-by-step explanation:

Answer:

909.041207??

Step-by-step explanation:

Answer:

m = 1/3

Step-by-step explanation:

Answer: m = 1/3

Step-by-step explanation: Lets solve the equation |6m - 2| = 0.

|6m - 2| = 0

Find absolute values of 6m - 2

-6m + 2 = 0          (Now solve both sides of the equation.)

-6m + 2 - 2 = 0 - 2

-6m = -2

-6m/-6 = -2/-6

m = 1/3

Answer:

  b. x(x +4)

Step-by-step explanation:

The perimeter is 4 times the length of one side, so is ...

  P = 4(x +4)

The area is the square of the length of one side, so is ...

  A = (x +4)(x +4)

The difference in these values is ...

  A - P = (x +4)(x +4) - 4(x +4)

The latter factor can be factored out to give ...

  A - P = (x +4 -4)(x +4)

  A - P = x(x +4) . . . matches B

Answer:

26.57°

Step-by-step explanation:

[tex]2y = x + 1 \\ y = \frac{1}{2} x + 1 \\ equating \: it \: with \\ y = mx + b \\ slope \: m = \frac{1}{2} \\ \because \: \tan \theta = m \\ \therefore \: \tan \theta = \frac{1}{2} = 0.5 \\ \therefore \: \theta = {tan}^{ - 1} (0.5) \\\therefore \: \theta = {tan}^{ - 1} ( \tan \: 26.565051177 \degree) \: \\ \\ \huge \red{ \boxed{\therefore \: \theta = 26.57 \degree}}[/tex]

Answer:

136 Inches

Step-by-step explanation:

One side will be x. The other will be 3x.

x=17

3x=51

It is asking for 8x

8x=136

Answer:

136 inches

Step-by-step explanation:

The perimeter of a rectangle can be found using:

p=l+l+w+w

We know the width is 17, and the length is 3 times the width, which is 17

p=(17*3)+(17*3)+17+17

p=51+51+17+17

p=136

So, the perimeter is 136 inches