The lifetime of a certain type of light bulb can be approximated by a normal distribution. The list

gives the number of days a bulb can last for 10 light bulbs selected at random. Find the mean and

standard deviation of the data set. Then sketch a normal curve to represent the distribution.

25, 24, 32, 16, 22, 34. 19. 27, 18, 29

Answer:

9

Step-by-step explanation:

9*4 = 36

9*9 = 81

divide both by 9 and you get 4:9

A=πr²

where

π -> pi (3.14...)

r - radius

r² means you multiply r times itself

Hope it helps!

Step-by-step explanation:

Degree is 6

Leading coefficient is 5

Constant term is 8

Answer:

x= -4

Step-by-step explanation:

You need to the elimination method!

x-5y=-3

3x-5y=11

You need to multiply the top by -1

This means every number has to be multiplied by -1 on the x-5y=-3

-x+5y=3

3x-5y=11

The 5y's should cancel out

-x=3

3x=11

Now do -x+3x and 3-11

2x=-8

x= -4

Answer: C. A cross section parallel to the base of a right rectangular prism is congruent to the base.

Step-by-step explanation: Cross sections that are parallel to the base will give the shape of the base.  That means that when you do a cross section that's parallel to the base, you're making a horizontal line that goes left to right that is the same as the base.  Therefore, C is your answer.

Let me know if this is right! :)

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Explanation:

Choice a) can be ruled out because angles A and D are supplementary. Supplementary angles add to 180 degrees by definition. They form a straight line or straight angle.

Choice b) and choice d) are eliminated for similar reasoning as choice a).

Choice c) is the only thing left. It turns out that angles B and D are not supplementary, but rather they are vertical angles. They are opposite one another in this X shape. Vertical angles are always congruent.

Note: Angles B and D are supplementary if and only if the angles are 90 degrees each.

Given the values for the length and width of the rectangle, area of the rectangle is 16.625 square centimeter.

A rectangle simply a is a 2-dimentional shape in geometry with 2 equal opposite sides and 4 corners each at 90 degrees.

The area of a rectangle is;

A = Length × Width

A = L × W

Given the data in the question;

To determine the area of the retcangle, we substitute our given values into the expression above.

A = L × W

A = 4.5cm × 3.25cm

A = 16.625cm²

Therefore, the area of the rectangle with the given length and width is 16.625cm².

Learn more about area of rectangle here: https://brainly.com/question/12019874

Answer:

57600 words in 12 hours.

Step-by-step explanation:

80 wpm means 80 words per minute.

We need to know how many minutes are in a 1 hour which is 1 hour is 60 minutes.

We want to know how much words in 12 hours.

Given:

[tex]\frac{80 word}{1 min}, \frac{60 min}{1 hour},\frac{12 hour}{1}[/tex]

[tex]\frac{80 word}{1 min} *\frac{60 min}{1 hour} *\frac{12 hour}{1} =[/tex] 57600 words in 12 hours.

Answer: 57,600

Step-by-step explanation:

80 × 60 = 4800 in 1hr

4800 ×12 = 57, 600 in 12hrs

mistake: the storm trooper used the wrong order of solving the problem, you first do × and : and then + and -

correct answer:

6×7-16:4

= 42-4

= 38

Answer:

20, 22 and 24

Step-by-step explanation:

18 / 3/4

18 x (4/3)

18 x 1.3333

23.9

≅ 24    

So if its ≅ 24, it means the answer is 24 and below. Therefore the three answers are 20, 22 and 24.

Answer:

Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line

Answer:

The answer is 20p – 10 or 10(2p – 1)

Step-by-step explanation:

4(2p + 2) + 6(2p − 3)

8p + 8 + 12p – 18

20p – 10 or 10(2p – 1)

Step-by-step explanation:

1.284=1284/1000

divide both by 4

=321/250

Answer:

220 squared units

Step-by-step explanation:

first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.

8*20=160

6*20=120

120/2=60

Finally, add them together and you get 220 units squared.

Fractions are written as the ratio of two integers. 3 1/7 cups white flour will be needed for every 11 cup of rye flour

Fractions are written as the ratio of two integers. If a baker mixes 8 3/4 cups of white flour with 2 1/2 cups of rye, the number of cups of rye needed for 1 cup ofwhile flour will be:

For 1 cup of flour = (2 1/2)/(8 3/4)

For 1 cup of flour = (5/2)/(35/4)

For 1 cup of flour = 5/2 * 4/35
For 1 cup of flour = 2/7 cups of rye

For 11 cups:

For  11 cup of rye flour = 11 * 2/7

11 cup of rye flour = 22/7=3 1/7 cups

Hence 3 1/7 cups white flour will be needed for every 11 cup of rye flour

Learn more on ratio and proportion here:https://brainly.com/question/2914376

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

Step-by-step explanation:

please mark brainliest if you can thx <3

Answer:

5000(0.98)^x, with x being the amount of years

After dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

To find the area of rectangular pyramid A given rectangular pyramid B, we need to know its scale factor.

Scale factor is the ratio of the corresponding sides of two objects.

Now, since rectangular pyramid B is the image of rectangular pyramid A, we have that (since we are dealing with areas)

(Scale factor)² = surface area of rectangular pyramid B/surface area of rectangular pyramid A

So, surface area of rectangular pyramid A = surface are of rectangular pyramid B/(scale factor)²

Since

surface area of rectangular pyramid A = surface area of rectangular pyramid B/(scale factor)²

So, substituting the values of the variables into the equation, we have

surface area of rectangular pyramid A = 1215 cm²/33²

= 1215 cm²/1089

= 1.12 cm²

So, after dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

Learn more about scale factor here:

https://brainly.com/question/26467371

➾Firstly, we will find the measure of [tex]\angle[/tex]ACB.

We know that,

Sum of all interior angles of a triangle = 180°.

[tex]\rightarrow[/tex][tex]\angle[/tex]BAC + [tex]\angle[/tex]ABC + [tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] 40°+70°+[tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] 110°+[tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] [tex]\angle[/tex]ACB = 180°-110°

[tex]\rightarrow[/tex][tex]\angle[/tex]ACB = 70°

So, the measure of [tex]\angle[/tex]ACB = 70°.

➾ Side BC of the triangle is extended till D. So, we have to find the measure of [tex]\angle[/tex] ACD.

As we know that,

Sum of any two or more angles that lie on a straight line = 180°.

So, [tex]\sf\angle{ACB}[/tex]+[tex]\sf\angle{ACD}[/tex] = 180°

[tex]\rightarrow[/tex] 70° + [tex]\sf\angle{ACD}[/tex] = 180°

[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 180°-70°

[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 110°.

Therefore, measure of [tex]\sf\angle{ACD}[/tex] = 110°.

____________________________

Hope it helps you:)

Answer:

47°

Step-by-step explanation:

sum of angles in triangle=180

x + 90 + 43 = 180

x = 180 - 90 - 43

  = 47

Hope it helps:)

Answer:

The third option.

[tex]cos(Q)=\frac{RQ}{PQ}[/tex]  

Step-by-step explanation:

SIN is opposite over hypotenuse.

COS is adjacent over hypotenuse

Therefore

[tex]sin(P)=\frac{RQ}{PQ}[/tex]

Then we have 4 options.

It is not the first option beacause we can't determine which side is adjacent to the angle.

The second option

[tex]sin(Q)=\frac{RP}{QP}[/tex]

The third option

[tex]cos(Q)=\frac{RQ}{PQ}[/tex]

It is not the fourth option beacause we can't determine which side is opposite to the angle.

Finally we see that

[tex]cos(Q)=\frac{RQ}{PQ}[/tex]  

and

[tex]sin(P)=\frac{RQ}{PQ}[/tex]

are equivalent.

Answer:

A)6 cm B)32 inch

Step-by-step explanation:

A)1 cm:8 inch

(1×6)cm:(8×6)inch

Thus, if the height is 48 inch, the scale in cm is 6 cm

B)Normal linear form

The length=4cm

(1×4) cm:(8×4) inch

Thus, if the scale length is 4 cm, the real painting length will be 32 inch

Answer: 50ft I think

Step-by-step explanation: add them all . The length of a line is missing so make 16 minus 6 will give you 10 and add the rest . Please mark brainliest . 4 and 10 and 5 and 6 and 9 and 16 Will give 50 ft only

Ah, yes. Perimeters. Perimeters are found by adding up the lengths of all the sides. But, as stated in the question description, there's one side missing. The way we find it is by subtracting the 6-foot side from the 16-foot side. The way this works is because 1) every corner is a right angle 2) and if that's so, the side with no number and the 6-foot side will add up to equal 16 feet, the same as the side opposite it.

If we subtract 6 from 16, we get 10. So, therefore, the missing side's length is 10 feet.

Now let's add all the sides together.

9 + 6 + 5 + 10 + 4 + 16 = 50

The perimeter of this shape is 50, if my geometry memory serves me correctly.

I hope this answers your question.

-Toremi

Answer:

24

Step-by-step explanation:

4+4+8+8

8 + `16 = 24

The surface area of the larger pyramid is 159.21 ft²

The surface area of the small pyramid is given as:

A = 25.49 ft²

The corresponding sides of the pyramids are:

Small = 6; Large = 15

The surface area of the large pyramid is then calculated using:

Area = A * (Large/Small)²

This gives

Area = 25.49 * (15/6)²

Evaluate

Area = 159.21

Hence, the surface area of the larger pyramid is 159.21 ft²

Read more about surface area at:

https://brainly.com/question/4149680

Answer:

159.31

Step-by-step explanation:

Right on Edge

Answer: The answer is B and C.

Step-by-step explanation: Answer the main question and write down the answer then check each choice and see which one matches the answer you wrote down.

Answer:

it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)

the customer spent $13 if it's not 13 it's the closest answer too 13

Answer:

$0.85, or 85 cents.

Step-by-step explanation:

To find this, we first need to find out how much it costs for one square. We know it is $2 per pound, and there are twelve squares in each pound. So to find out how much one square costs, we need to divide $2 by 12. We get an answer that is never-ending when we solve this, so we will round to the hundredths place since we are working with money. What we get as a result is that one square costs $0.17.

Now we multiply the above number by five to find out how much the customer spent. This comes out to be $0.85. In total, the customer spent 85 cents for all five squares of the fudge.

Answer: D

Step-by-step explanation:

Using the two point slope form with points (0, 0) and (4, -3):

[tex]\frac{y-0}{x-0}=\frac{4-0}{-3-(0)}[/tex]

[tex]\begin{aligned}&\frac{y}{x}=\frac{4}{-3} \\&y=-\frac{3}{4} x\end{aligned}[/tex]

Therefore, D is the correct answer

Answer:

D. y=-3/4x

Step-by-step explanation:

because when doing slope, you have to remember that it goes y/x and the fact that this is a negative slope meaning that you count from point (0,0) to (4,-3), and the lines on the graph count by 2's, so you would be counting down 3 (because point (4,-3) is inbetween -2 and -4) and to the right 4. making the answer -3/4, and it is negative because it is a downward facing slope. oh, and the x is there because it is an ever changing variable (ever continuing)

Answer:

similarly,on the graph in vertical line,x only takes value.thus, the equation for a vertical line is x=a,where is a value that x takes.