The manufacturer of a certain brand of lightbulbs claims that the variance of the lives of these bulbs is 4100 square hours. A consumer agency took a random sample of 26 such bulbs and tested them. The variance of the lives of these bulbs was found to be 5900 square hours. Assume that the lives of all such bulbs are (approximately) normally distributed. Test at the 20% significance level whether the variance of such bulbs is different from 4100 square hours. a)The value of the test statistic x is 15.743; we fail to reject the null hypothesis. b)The value of the test statistic x is 32.859; we fail to reject the null hypothesis. c)The value of the test statistic y is 32.859; we reject the null hypothesis. d)The value of the test statistic is 35.976; we fail to reject the null hypothesis. e)The value of the test statistic is 15.743; we reject the null hypothesis. f)The value of the test statistic x is 35.976; we reject the null hypothesis.

Answer:

$1400x  + $150

Step-by-step explanation:

Let the total cost of rent used for a month be $1400 plus a $150 application fee.

This means that;

Total cost (1 month) = $1400(1) + $150 = $1550

TO calculate the cost for x months, we will simply multiply x with the cost of rent for 1 month as shown.

The cost of rent for x month = 1400x * $150

The cost of rent for x month = $1400x  + $150 (application fee are paid only once)

Answer:

There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].

Step-by-step explanation:

Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.

If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:

[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]

[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)

The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.

According to the Mean Value Theorem, the following relationship is fulfilled:

[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)

If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:

[tex]3\cdot c^{2}+2 = 3[/tex]

[tex]3\cdot c^{2} = 1[/tex]

[tex]c = \sqrt{\frac{1}{3} }[/tex]

[tex]c \approx 0.577[/tex]

There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].

Answer:

63%

Step-by-step explanation:

37% did not solve problem 2

100% - 37% = 63%

Answer:

n +2

Step-by-step explanation:

If three numbers are consecutive, the 2nd number would be one more than the 1st number, and the 3rd number would be one more than the 2nd number.

Since the smallest number is n,

2nd consecutive number= n +1

3rd consecutive number

= n +1 +1

= n +2

Thus, the expression for the largest number is n +2.

Let's check!

If the smallest of the three consecutive number is 1, the 3rd consecutive number would be 3.

3rd consecutive number

= n +2

= 1 +2

= 3 (✓)

Thus, the expression is correct.

Answer:

Store C

Step-by-step explanation:

$7.56÷7=$1.08 a candy bar

Answer:

10,323,654

Step-by-step explanation:

Answer:

Answer is C

Step-by-step explanation:

There is not enough samples.

Answer:

 Yes, the variation of the sample means is small.

Step-by-step explanation:

Answer:

So when u do (-4)-(-6) it equals 2.

But when u do (-7)*(-8) it equals 56

Therefore saying that (-7)*(-8)=56 is the greatest product.

Step-by-step explanation:

Answer:

15.29 i think

Step-by-step explanation:

Answer:

The 2-yard pièce of cotton cloth for $13.26

Step-by-step explanation:

2 yards is 6 feet then it would be $2.21 per foot.

The 17 foot piece would cost $3.29 per foot.

To answer this question, you need to determine which one has a lower price per unit.  In this scenario, you must divide the price of the cloths by their length in feet.

For the 2-yard piece of cotton cloth, first convert the length to feet.  There are three feet in a yard, so the cloth is 6 feet.  Then divide:

13.26/6=2.21

For the 17-foot piece of cotton cloth, simply divide:

55.93/17=3.29

The 2-yard piece of cotton cloth for $13.26 is the better buy because it has a lower unit price.

Hope this helps!!

Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers

Step-by-step explanation:

Answer:  D

Step-by-step explanation:

If you put -5 and +5 on a number line and count their distance from zero they are both the same distance.

Answer:

D 9 softball tickets for $72

Step-by-step explanation:

72/9=8

Answer:

The answer is D.

Step-by-step explanation:

You divide 72 by 9. Hope this helps!!! Please mark me brainliest and have a good rest of your day!!!

Answer:

a square with 1.5 cm width and height

Answer:

2.25

Step-by-step explanation:

1.5 * 1.5 = 2.25.

Answer:

6 2/9

Step-by-step explanation:

56/9

Answer:

20 pizzas

Step-by-step explanation:

Answer:

45 is 125% of 36, and 36 is 80% of 45.

Step-by-step explanation:

answer: x=38

Step-by-step explanation:

hope I help you

Answer:

30 and 8

Step-by-step explanation:

30 - 8 = 22

Answer:

4. y = -1/2x + 5

5. y = -1/3x + 3

6. y = 1

Step-by-step explanation:

For #4:

Because these lines are parallel, we know that they will have the same slope.

To get b, or the y-intercept, I just started at the point (4,4) and used the slope to work backwards to the y-axis. This is really not the best way to do it (especially with big numbers) but it works in a pinch. Also, I forgot the better way :/

For #5:

These lines are perpendicular. That means that the slopes are reciprocals of the other and, when multiplied with each other, the answer will be -1.

The reciprocal of 3 is -1/3.

To get the y-intercept, I did the same as above.

For #6:

x = 2 is a vertical line. To make a line perpendicular to it, that is, to make a line that intersects with it at 90°, the answer line will have to be horizontal.

That means that our answer is y = ?

We know that the line passes through a very specific point (2,1), and the line provided in the question already gives us the x value of this point. All we have to do is set y equal to the y value.

So, y = 1.

I hope this helps!

In mathematics, a factor is an integer or algebraic expression which divides another number or expression evenly, giving no remainder, and the further calculation can be defined as follows:

Given:

[tex]\bold{-6\ out \ of (18z - 15)}\\\\[/tex]

To find:

Factor=?

Solution:

[tex]\to \bold{-6\ out \ of (18z - 15)}\\\\\to \bold{-6\times \frac{(18z - 15)}{-6}}\\\\\to \bold{-6\ (-3z + \frac{5}{2})}}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{-6\ (-3z + \frac{5}{2})}}[/tex]".

Learn more:

brainly.com/question/19310237

Answer:

Attachment given answer

Step-by-step explanation:

I gave you the answer but if you have any questions let me know.

Answer:

ans=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10(4-7) /   -(4 - 1)

10(-3)  /    -(3)

-30    /    -3 =

10

Answer:c

Step-by-step explanation:

Answer:

y = -9/8x+7

Step-by-step explanation:

First Find The Slope: 7--2/0-8=-9/8

Find Y Intercept=7

Than Write Equation: y=-9/8x+7

Answer:

420 funny number

Step-by-step explanation:

Answer:

3°F

Step-by-step explanation:

36 divided by 12 is 3

Answer:

3 degrees F

Step-by-step explanation:

36/12 = 3

Answer: C. The graph is positive on the intervals (-∞,-8) and (-4,3)

Step-by-step explanation: I guessed on my test and got it right. PLATO

Answer:

[tex]\boxed {n = 26}[/tex]

Step-by-step explanation:

Solve for [tex]n[/tex]:

[tex]-413.4 = -15.9n[/tex]

-Switch sides:

[tex]-15.9n = -413.4[/tex]

-Divide both sides by [tex]15.9[/tex] and expand by multiplying both numerator and denominator by [tex]10[/tex]:

[tex]\frac{-15.9n}{-15.9} = \frac{-413.4}{-15.9}[/tex]

[tex]n = \frac{-4134}{-159}[/tex]

-Divide [tex]-4134[/tex] and [tex]-159[/tex]:

[tex]n = \frac{-4134}{-159}[/tex]

[tex]\boxed {n = 26}[/tex]

Therefore, the value of [tex]n[/tex] is [tex]26[/tex].