According to a recent survey, the mean income before taxes of consumer units (i.e., households) in the U.S. was $60,533 with a margin of error equal to 1406.32 (for a 95% confidence level). Calculate a 95% confidence level for the population mean income before taxes for all U.S. consumer units.A (58,681.82, 62,384.18)B (57,776.61, 63,289.39)C (59,097.98, 61,968.02)D (59,126.68, 61,939.32)E (60,166.92, 60,899.08)

Answer:

Step-by-step explanation:

Given the information of the conical hat

=> the slant height of the hat is (use Pythagorean Theorem)

[tex]s^{2}[/tex] = [tex]r^{2} + h^{2}[/tex]

<=> [tex]s^{2}[/tex] = [tex]8^{2} + 9^{2}[/tex]

<=> s = [tex]\sqrt{145}[/tex]  

The area (without the base area) of tissue paper will she need to make one hat is:

SA = πrs  in2

<=> SA =  π*8*[tex]\sqrt{145}[/tex]  in2

<=> SA =8 [tex]\sqrt{145}[/tex] π

=> the total tissue paper will she need for 21 hats is:

SA*21

= 8 [tex]\sqrt{145}[/tex] π*21

= 6352,18 in 2

I think we're not supposed to do more than 3 problems in one answer; certainly not five pages. Does the 1/3 mean there are 10 more to come?

I'll do the first page.

6)

Right triangle, opposite side of 10, adjacent side of 21,

tan x = opp/adj = 10/21

x = arctan 10/21 = 25.46°

Answer: 25

7)

cos x =   adj / hyp = 10/14

x = arccos 10/14 = 44.42°

Answer: 44

8)

tan x = opp/adj = 12/24 = 1/2

x = arctan 1/2 = 26.57°

Answer: 27

9)

tan x = 31/32

x = arctan 31/32 = 44.09°

Answer: 44

10)

x = arctan 10/27 = 20.32°

Answer: 20

Answer:

326.6 m^2

to nearest tenth.

Step-by-step explanation:

The radius of the flower bed = 1/2 * 22 = 11m

The radius of the whole area included the sidewalk = 11 + 4 = 15 m

So the area of the sidewalk = area of the whole - area of flower bed

= 3.14 * 15^2 - 3.14* 11^2

= 326.6 m^2.

Answer:

[tex]\frac{5}{2}[/tex] ÷ [tex]\frac{20}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] ÷ [tex]\frac{3}{5} =\\[/tex]

[tex]\frac{3}{8} *\frac{5}{3} =[/tex]

[tex]\frac{15}{24} = \frac{5}{8}[/tex]

So we need a division problem that equals [tex]\frac{5}{8}[/tex]

[tex]\frac{5}{8} =\frac{25}{40}[/tex]

[tex]\frac{5}{2} *\frac{5}{20}[/tex]=

[tex]\frac{5}{2}[/tex] ÷ [tex]\frac{20}{5}[/tex]

Answer:

Step-by-step explanation:When we divide this we got . First we need to check if we can divide numerator by numerator, denominator by denominator. We can not. Then we multiply first fraction by other but in other we use reciprocal value.

Answer: 4738.46 ÷ by 4930.92=0.960968744

You can use online calculators

Answer: 0.960968744

Step-by-step explanation: 4738.46/4930.92

                                             = 0.960968744

Answer:

13/8

Step-by-step explanation:

11/8 plus 2/8 that's he ate equals 13/8

Answer:

C. Draw a ray

Step-by-step explanation:

The first step in constructing an angle - or copying one - is to draw a ray. Then, you will use a protractor, compass, straightedge, etc.

Answer:

C draw a ray

Step-by-step explanation:

Answer:  The slope is -6.

Step-by-step explanation:

(1,2)  (0,8)

2-8= -6

1-0= 1

-6/1= -6

Answer:

A parabola has a vertex. The vertex is the point of a parabola where it changes direction. It also has an axis of symmetry which is an imaginary line that cuts it in two equal parts. A parabola may have x-intercepts ("zeros") which are points where the graph cross the x-axis. It may have x-intercepts which are points where the graph cross the x-axis.

Answer:

Complete Question:

Pick a city in Maryland and determine the average high temperatures for each month. Record this in a table.

a. Create a box-and-whisker plot for the data.

b. What is the median temperature?

c. 75%of the temperatures are below what value?How  do you know? d. 75% of the temperatures are above what value? How do you know? e. What conclusions can you draw about the temperature in Maryland?

Step-by-step explanation:

TASK 3

The city picked is Baltimore, the year 2017.

The table is attached in picture #1.

a) The box-and-whisker plot is attached in picture #2.

b) The median is the central value of the distribution i.e:  

42.4, 45.3, 46.8 | 54.7, 57.6, 66.0 | 69.1,  76.5,  80.6 | 85.8, 87.8, 90.0 

where we marked with a tally the quartiles.

As we have 12 values,  the average between the two central values will be the median :

M = (66.0 + 69.1) / 2 = 67.1 °F

c) 75% of the temperatures are below 83.2 °F.

Indeed, this value represents the third quartile. The position of the third quartile can be found by the formula:

3/4 · (n + 1) = 3/4 · (12 + 1) = 3/4 · 13 = 9.75

Therefore, since we did not get in integer position, the third quartile will be the average between the numbers in position 9 and 10:

q₀.₇₅ = (80.6 + 85.8) / 2 = 83.2 °F

d) 75% of the temperatures are above 50.8 °F.

Indeed, this value represents the first quartile. Similarly to point c), the position can be found by the formula:

1/4 · (n + 1) = 1/4 · 13 = 3.25

And therefore:

q₀.₂₅ = (46.8 + 54.7) / 2 = 50.8 °F. 

e) Baltimore in 2017 had a median high temperature of 67.1 °F.

25% of the year the high temperatures were warmer than 83.2 °F, with no outlier above 90.0 °F which was the hottest temperature.

25% of the high temperatures were colder than 50.8 °F, with no outlier below 42.4 °F, which was the coldest high temperature.

Answer:

You didn't give the geometric sequence in question.

But to find the nth term of a geometric sequence, use the formula

Sn = ar^(n - 1)

Where a is the first term of the sequence

r is the common ratio of the sequence.

Example: To find the nth term of the geometric sequence

1/2, 1/4, 1/8, 1/16, ...

Here, a = 1/2

r = 1/4 ÷ 1/2 = 1/8 ÷ 1/4 = 1/16 ÷ 1/8 = 1/2.

Sn = (1/2)(1/2)^( n - 1)

Apply this method to the sequence you were given, it will be helpful.

Answer:14

Step-by-step explanation:Start by writing like this below

98 =2×7×7

42 =2×3×7

H.C.F=2×7

=14

Take the number which is common like in 98 and 42, (2) and (7) are common

and then multiply the two numbers.

Hope it helps you!

Answer:

Step-by-step explanation:

98 = 2 * 7 * 7

42 = 2 * 7 * 3

Highest common factor = 7

HCF of two or more numbers is the greatest number  which divides each of then exactly

Answer:

m-15=-5

m=15-5

m=10

when you take the-15 over it becomes positive and the negative remains giving you 15-5

when you work it out 10-15=-5

Answer:

40

Step-by-step explanation:

i took the test and got it right.

Answer:

Its A on edge 40 degrees

Step-by-step explanation:

Answer:

0.0228

Step-by-step explanation:

Let us assume that the mean (μ) = 2 and the standard deviation (σ) = 0.5

Z score is a standard score used to measure the number of standard deviations by which the raw score (x) is above or below the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

For x > 3

[tex]z=\frac{x-\mu}{\sigma} =\frac{3-2}{0.5}=2[/tex]

From the normal distribution table, P(x > 3) = P(z > 2) = 1 -  P(z < 2) = 1 - 0.9772 = 0.0228

Answer:

5

Step-by-step explanation:

By multiplying the binomials, you get the expression x² + 9x - 4x - 36. Simplify by combining like terms to get x² + 5x - 36. 5 is our missing number and is the coefficient of our x variable.

Answer:

24.

Step-by-step explanation:

We can use the factorial function to find the number of unique arrangements in a word.

There are 4 unique characters in 'OPAL'. As such, 4! = 24.

In the case that there were repeating characters, such as 'OPALA', then we would divide by the factorial of the number of repeating letters. That looks something like this:

[tex]\frac{5!}{2!} = 60[/tex]

Hope this helped.

Answer:

i think 24 beacuse opal has 4 letters and then u mutiply it by 6 and get 24

Step-by-step explanation:

Answer:

x=130

Step-by-step explanation:

Find the base angles of the isosceles triangle: 2y+50=180

2y=130

y=65

x=2(65)=130

Therefore, x=130

I hope this helped and have a good rest of your day!

2y+50=180

2y=130

y=65

x=2(65)=130

answer= x=130

give brainliest to the top of me NOT ME

Answer:

a²+b²+c²

for cuboid

Answer:

i dont understand your question.

Step-by-step explanation:

Answer:

Answer is 11.046

Explanation :

The formula is pie × r² × height

If you don't understand.. Lemme know ya

Answer:x=4.3

Step-by-step explanation:

Step 1: Divide both sides by 1.2

1.2x/1.2=5.16/1.2

X=4.3

Hope I helped

Answer:

X=4.3

Step-by-step explanation:

I literally guessed some random numbers and got it right. You can trust me tho. It’s right.

Answer: g = 10

Step-by-step explanation: 8g + 3 = –6g + 13g + 13

                                             8g + 3 = (–6g + 13g) + (13)

                                             8g + 3 = 7g + 13

                                             8g + 3 - 7g = 7g + 13 - 7g

                                             g + 3 = 13

                                             g + 3 - 3 = 13 - 3

                                             g = 10                                            

Answer:

[tex]8g + 3 = -6g + 13g + 13 : g = 10[/tex]

Step-by-step explanation:

[tex]8g+3=-6g+13g+13[/tex]

Add similar elements: [tex]-6g+13g=7g[/tex]

[tex]8g+3=7g+13[/tex]

Subtract [tex]3[/tex] from both sides:

[tex]8g+3-3=7g+13-3[/tex]

Simplify:

[tex]8g=7g+10[/tex]

Subtract [tex]7g[/tex] from both sides:

[tex]8g-7g=7g+10-7g[/tex]

Simplify:

[tex]g=10[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you. Have a good day! =)

Answer:

x-4

Step-by-step explanation:

|x−4|  if x>4

That means x-4 is always positive since x> 4

x-4

As a fraction it would be 54/100

Answer:

To rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20

Step-by-step explanation:

Since both shops charge the same amount for each kind of vehicle, we will assign variables to the their cost. The cost of a jet ski will be "x" and the cost of the kayak will be "y". Therefore we can create a system of equations as shown below:

Will's shop:

12*x + 9*y = 780

Fun Rentals:

7*x + 11*y = 570

[tex]\left \{ {{12x+ 9y=780} \atop {7x + 11y =570}} \right.\\[/tex]

We can isolate "x" on the second equation, we have:

[tex]x = \frac{570 - 11y}{7}[/tex]

Applying this value on the first equation:

[tex]12[\frac{570 - 11y}{7}] + 9y = 780\\\frac{6840 - 132y}{7} + 9y = 780\\\frac{6840 - 132y + 63y}{7} = 780\\ 6840 - 132y + 63y = 5460\\6840 - 69y = 5460\\69y = 1380\\y = 20[/tex]

Applying the value of "y" we found on the "x" equation above, we have:[tex]x = \frac{570 - 11*20}{7}\\x = 50\\[/tex]

Therefore to rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20

Answer:

Step-by-step explanation:

y-0=1(x-3)

y=x-3

complete question:

The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?

Answer:

The original number is 10a + b  = 10 × 3 + 5  = 35

Step-by-step explanation:

Let

the number = ab

a occupies the tens place while b occupies the unit place. Therefore,

10a + b

The sum of the digits of two-digits numeral

a + b = 8..........(i)

If the digits are reversed. The reverse digit will be 10b + a. The new number is 18 greater than the original number.

Therefore,

10b + a = 18 + 10a + b

10b - b + a - 10a = 18

9b - 9a = 18

divide both sides by 9

b - a = 2...............(ii)

a + b = 8..........(i)

b - a = 2...............(ii)

b = 2 + a from equation (ii)

Insert the value of b in equation (i)

a + (2 + a) = 8

2a + 2 = 8

2a = 6

a = 6/2

a = 3

Insert the value of a in equation(ii)

b - 3 = 2

b = 2 + 3

b = 5

The original number is 10a + b  = 10 × 3 + 5  = 35

Answer:

1.5707

Step-by-step explanation:

i solved it using the furmola :

[tex]2\pi \times r \frac{45}{360} [/tex]

Answer:

Step-by-step explanation:

We know that the length of the arc in a circle is proportional to its corresponding angle which means:

a corresponds to 45

2πr corresponds to 360

then

[tex]\frac{a}{45} = \frac{2\pi r}{360}[/tex]

then

a = (45÷360)×4×π

 =1.570796326795

Answer: about 81.395%

Step-by-step explanation:

1) Subtract 78 - 43 to find the difference. ==> 35

2) Divide the increase by the original number, 43. ==> 35/43 = 0.8139534884

3) Multiply the answer by 100. ==> ~81.395%

BASICALLY: % increase = Increase ÷ Original Number × 100.