Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard deviation of 110 hours. If exactly 90% of the bulbs die before 930 hours, find the mean lifetime of the bulbs. Carry your intermediate computations to at least four decimal places.

Answer:

A

Step-by-step explanation:

to find the inverse, there are two steps

1-interchange x and y

2-solve for y

so y=x+1/x

interchange to get x=y+1/y

and solving for y we multiply both sides by y to get xy=y+1

subtract both sides by y yielding xy-y=1

factor out y to get y(x-1)=1

then divide to get y=1/x-1

Answer:

1. An Experimental

2. Dependent

3. Independent

Step-by-step explanation:

Considering the description of how the research was carried out, it can be concluded that This study is an example of AN EXPERIMENTAL study. This because the researcher is trying to study the effectiveness of a new drug for lowering cholesterol

The difference in cholesterol level is the DEPENDENT variable. This is because the difference in cholesterol level is what the researcher wants to determine.

The treatment with a drug or placebo is the INDEPENDENT variable. This is because this is what the researcher manipulates to determine the difference in cholesterol level which is the dependent variable in this experimental study.

Answer:

D

Step-by-step explanation:

Have a nice day

Answer:

The measure of the first angle is 50°.

Step-by-step explanation:

Let the three angles be a, b, and c.

The measure of the first angle is twice the measure of the second angle. In other words:

[tex]a=2b[/tex]

The measure of the third angle is 80° more than the measure of the second angle. In other words:

[tex]c=b+80[/tex]

And since the interior angles of a triangle must equal 180°:

[tex]a+b+c=180[/tex]

Substitute a and c:

[tex](2b)+b+(b+80)=180[/tex]

Combine like terms:

[tex]4b+80=180[/tex]

Subtract 80 from both sides:

[tex]4b=100[/tex]

And divide both sides by four:

[tex]b=25^\circ[/tex]

So, the measure of the second angle is 25°.

Since the measure of the first is twice the second, the measure of the first angle is 50°.

(And since the measure of the third is 80° than the second, the measure of the third angle is 105°.)

Answer:

49200

114800

32800

Step-by-step explanation:

196800/12=ans

ans * 3

ans * 7

ans * 2

1 year = 12 months.

30 years x 12 months per year = 360 total months

Multiply total months by monthly payment:

360 months x 1,073.21 per month = $386,355.60 total monthly payments for 30 years.

Now add the down payment to the total monthly amount:

$386,355.60 + $45,000 = $431,355.60

Total amount paid: $431,355.60

Answer:

7 1/3

Step-by-step explanation:

See image below:)

Answer:

v = 9 because it is what would make a great answer

Step-by-step explanation:

the angles are supplementary, meaning it sums up to 180 degrees

so to find v, you have to find the total angle of v.

180- 105 equals 8v+3, or 75 equals 8v+3

subtract 75 with 3 leaving 72 equals 8v

v would equal 9

Answer:

1

Step-by-step explanation:

All sides have to be congruent making option 1 correct

~ LadyBrain

Answer:

8a+8+3x

Step-by-step explanation:

Just plus them! Nothing so harsh

Answer:

6a + 6 + 3x-2 + 2a +4=

= 6a +2a+3x+6-2+4=

= 8a+3x+8

Step-by-step explanation:

1. remove the () since the actions within them cannot be solved.

2.find the sum

Answer:

X = 6

Step-by-step explanation:

sin○ = opposite side/hypotenuse

sin 45 = 3 root2/x

1/root2 = 3 root2/x

x = 3 × 2

x = 6

Answer:

x=6 cm

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 =opposite/hypotenuse

[tex]\frac{1}{\sqrt{2} } =\frac{3\sqrt{2} }{x}[/tex]

do cross multiplication

[tex]x=\sqrt{2} * 3\sqrt{2}[/tex]

x=6

Answer:

No solution

Step-by-step explanation:

x + 2y = 9

x = - 2y + 9

2x + 4y = 20

2(-2y + 9) + 4y = 20

-4y + 18 + 4y = 20

-4y + 4y = 20 - 18

0 = 2

( No solution)

Answer:

2) y=-3x+36

Step-by-step explanation:

Hi there!

We're given a graph and we want to find the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We'll need two points, so pick any two from the graph

For example, let's do (0,36) and (12,0)

first let's find the slope

The formula for the slope calculated from two points is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points

we'll be using (0,36) and (12,0)

let's label the points to avoid any confusion

x1=0

y1=36

x2=12

y2=0

Now substitute into the formula:

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

m=(0-36)/(12-0)

m=-36/12

m=-3

so the slope is -3

here's the equation so far:

y=-3x+b

we need to find b

The equation of the line will pass through both (0,36) and (12,0) so we can use either one of them to solve for b

let's take (12,0) for example

substitute 12 as x and 0 as y

0=-3(12)+b

multiply

0=-36+b

add 36 to both sides to isolate b

36=b

now substitute 36 as b into the equation

y=-3x+36

There's the equation of the line, so the answer is option 2

Hope this helps!

Answer:

First side is: 12cm

Second side is: 36cm

Third side is: 16cm

Step-by-step explanation:

Let x represent the shorter side

Then 3x represents the second side, and

x + 4 represents the third side.

Perimeter of three sides:

P = x + 3x + (x + 4)

Perimeter is 64, so

64 = x + 3x + (x + 4)

64 = 5x + 4

60 = 5x

12 = x

First side is x: 12cm

Second side is 3x: 3(12) = 36cm

Third side is x + 4: 12 + 4 = 16cm

From the graph,

f(-2) = 0

and, g(-2) = 0

(ƒ − g)(−2)= f(-2)-g(-2) = 0

OPTION B is the correct answer

Answer:

The answer would be C. 5 Hours

Step-by-step explanation:

Hopes this helps and good luck :)

Answer:

9 is y

Step-by-step explanation:

Step-by-step explanation:

the answer is in the above image

Answer:

The correct answer would be D, the median 86.5. In this set of data most of the values are in the 80's or 90's.

Step-by-step explanation:

d point is the answer

Answer:

D) The median, 86.5

Step-by-step explanation:

Most of the data is clustered in the 80s. Therefore, D is correct.

Answer:

2- x=16/3 or 5.3

4- x=8

Step-by-step explanation:

yeah

Answer:

Probability of at least two cuckoo eggs is 0.738.

Step-by-step explanation:

probability of cuckoo egg = 0.1

probability of not a cuckoo egg = 1 - 0.1 = 0.9

Probability of at least two cuckoo eggs is

= Probability of two cuckoo eggs x probability of 1 not cuckoo egg +

probability of three cuckoo eggs

= 0.1 x 0.1 x 0.9 + 0.9 x 0.9 x 0.9

= 0.009 + 0.729

= 0.738  

[tex]\huge\bold{Given:}[/tex]

Length of the perpendicular "[tex]a[/tex]" = 5.

Length of the hypotenuse "[tex]c[/tex]" = 12.

[tex]\huge\bold{To\:find:}[/tex]

The length of the missing side ''[tex]b[/tex]".

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

The length of the missing side (base) "[tex]b[/tex]" is [tex]\boxed{√119}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢ {a}^{2} + {b}^{2} = {c}^{2} \\\\ ⇢ {5}^{2} + {b}^{2} = {12}^{2} \\ \\⇢25 + {b}^{2} = 144 \\ \\⇢ {b}^{2} = 144 - 25 \\ \\⇢ {b}^{2} = 119 \\ \\⇢b = \sqrt{119} [/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"b"\:is\:√119.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex] {5}^{2} + { \sqrt{119} }^{2} = {12}^{2} \\\\ ⇝25 + 119 = 144 \\ \\⇝144 = 144 \\ \\⇝L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer: I think its 4%

Step-by-step explanation: 3+4=7 7/2=3.5

Answer:

1/14

Step-by-step explanation:

Answer:

Step-by-step explanation:

term            | Phrase

inequality   | 63<8k

Expression | bc+1-(8d-4)

Equation     | w^4=81

Answer:

Inequality 63 < 9k

Expression bc + 1 - (8d - 4)

Equation w⁴ = 81

Step-by-step explanation:

w⁴ = 81

⁴√w⁴ = ⁴√81

w = 3

3 × 3 × 3 × 3 = 81

9 × 3 × 3 = 81

9 × 9 = 81

bc + 1 - (8d - 4)

bc + 1 - 8d + 4

bc + 5 - 8d

Answer:

A

Step-by-step explanation:

Answer:

(12, 12), (18, 21), (24, 0)

Step-by-step explanation:

To dilate a figure, you multiple each of the numbers in its coordinates by the scale factor.

The vertices of the new triangle is:

4. (12,12) (18,21) (24,0)

We have:

The vertices of a triangle: (4, 4) (6,7) and (8,0)

We dilate the triangle by a scale factor of 3

To find the vertices of the new triangle after a dilation of 3, multiply the old vertices by 3. That is:

3 * (4, 4) => (12, 12)

3 * (6, 7) => (18, 21)

3 * (8,0) => (24, 0)

Therefore, the vertices of the new triangle is (12,12) (18,21) (24,0)

Learn more about dilation on:

brainly.com/question/28956841

#SPJ3

Answer:

(i)Here ∠HGB=∠AGE(vertically opposite angles)

∠HGB=110

∘

Now, for parallel lines l and m, with transversal t.

∠HGB+∠GHD=180

∘

(Angles on the same side of the transversal are supplementary)

110

∘

+∠GHD=180

∘

∠GHD=180

∘

−110

∘

=70

∘

(ii)For parallel lines l and m with transversal a

∠AIE=∠CJI (corresponding angles)

⇒x=100

∘

Ans5 and 2

Step-by-step explanation:

Answer:

998796

Step-by-step explanation:

For a number to be divisible by 12. it must be divisible by 3 and  4

Since we need the largest 6 digit number, we will take x = 9

So the number is 9987yz

Again since we need the largest number we will consider the largest 2 digit number multiple of 4 and 3.

Largest 2 digit number divisible by 4 is 96, which is also divisible by 3.

So, yz  = 96

Therefore , the largest number in the form will be : 998796

Answer:

The largest number is 998796

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

The largest digit you could use is 9 so, our number would be, 998799,

but the thing is that it's not divisible by 12.

The next largest would be 8. (998798) Not divisible.

7, so our number would be, 998797. Not divisible.

6, 998796. 998796/12= 83233, which means that it is divisble, so, the largest number in the form x987yz that is divisble by 12 is 998796

Please correct me if I'm wrong.

Answer:

first hust rotate 180 and next reflect it over x axis.

the given point (-7,3) id in second quadrant but after rotation it will be in fourth quadrant.

afterwards you have to refect that point over x-axis which gives you the image of the points on first quadrant ie. (7,1).