In the following diagram, HI is parallel to JK. What is the measure of x?

Answer:

[tex]\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|[/tex]

Step-by-step explanation:

[tex]\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\$Number of Customers &968& 248& 2042& 742& 4000\\$Number of sample&&&&&&\end{array}\right|[/tex]

Since the company wants to survey 500 customers by the countries visited, the number of samples from each country will be proportional to the number of customers.

For UK, Number of Samples[tex]=\dfrac{968}{4000}X500=121[/tex]

For France, Number of Samples[tex]=\dfrac{248}{4000}X500=31[/tex]

For Spain, Number of Samples[tex]=\dfrac{2042}{4000}X500\approx 255[/tex]

For Italy, Number of Samples[tex]=\dfrac{742}{4000}X500\approx 93[/tex]

The completed table therefore is:

[tex]\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|[/tex]

Answer:

look at the attachment below!

Step-by-step explanation:

Answer:bruh thats too much and its long

Step-by-step explanation:

Hausu

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:

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

Answer:

14

Step-by-step explanation:

Base:4 + 3=7

hight:3

area of Triangle: b*h/2

therfore the answer is 14m squared

The triangle with a base of 4 and a height of 3 has an area of 6 square meters.

Based on the given information, we have a triangle with a base of 4 and a height of 3.

To calculate the area of the triangle, we use the formula:
Area = (base * height) / 2.

Substituting the values, we have
Area = (4 * 3) / 2    

        = 12 / 2
        = 6

Therefore, the area of the triangle is 6 square meters.

Learn more areas of the triangle here:

https://brainly.com/question/27683633

#SPJ4

Answer:

At least 18 chocolates sold to collect $225

Step-by-step explanation:

~ Let's say x ⇒ the number of chocolates, y ⇒ the number of cookies ~

1. We can see that the number of chocolates/ cookies * the cost of chocolates/cookies = the total cost of chocolates/cookies. Provided this, it would be that 3x and 2.5y would represent the cost of chocolates and cookies.

2. It is given that there was $225 sold from chocolates and cookies, so we can say that 3x + 2.5y = 225 from this assumption.

3. That being said it is also known that the cookies were sold to 60 people, so we can assume that 60 cookies were sold out, 1 were person. With this information we can see that 3x ⇒ 3 * 60 = 180 ⇒ cost of cookies sold

4. Now we can substitute this value of 3x into the equation 3x + 2.5y = 225, as such: 3x + 2.5y = 225 ⇒ 180 + 2.5y = 225, and now we can solve for y ~

180 + 2.5y = 225,

2.5y = 225 - 180,

2.5y = 45,

y = 45/2.5,

y = At least 18 chocolates sold to collect $225

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: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:

1 to 2

Step-by-step explanation:

Imagine the ratio is a fraction: 2/4. Simplify the ratio the same way you'd simplify the fraction. Both the numerator and the denominator are divisible by 2. Divide both by two, and you get 1/2.

Therefore, the simplest ratio is 1 to 2.

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: 65

adding all flat surfaces equals 65

12+24+12+16+25 = 65

Answer:

a²+b²+c²

for cuboid

Answer:

i dont understand your question.

Step-by-step explanation:

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.

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:

its going up so in that case its positive

Step-by-step explanation:

if it is going down it is negative

Answer: https://brainly.com/question/10946691

Step-by-step explanation:

This link which is the image will help

Answer:

Step by step explanation:

(345) x (pi/180)

Rearranged:

(345/180) x (pi)

= 1.9166pi

1.9166 x 3.14

= 6.018

Rounded to 6.02

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:

Center ~ ( -4, 3 ), Radius ~ 2; Option A

Step-by-step explanation:

~ We know that the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2  provided r ⇒ radius of the circle, centered at ( a, b ) ~

1. If we are given the circle formula ( x + 4 )^2 + ( y - 3 )^2 = 4, it would be that the center points ( a, b ) would be the inverse of 4 and -3, provided the formula is -a and -b: center ( -4, 3 )

2. Now the radius in the formula ( x - a )^2 + ( y - b )^2 = r^2, is noted by r such that in ( x + 4 )^2 + ( y - 3 )^2 = 4, r^2 is 4 ⇒ r = √4 = 2

3. We now know that the center of this circle is ( -4, 3 ) with a radius of 2, and the only graph that represents that function is the first graph ~

Answer: Center ~ ( -4, 3 ), Radius ~ 2

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:

6 is the mode

Step-by-step explanation:

The mode is the most repeating set of data. So 6 repeating 12 times is the most frequent. So thats the explanation.

Answer:

six

The answer is six because it has the most number

Answer:

There is no enough information to determine probability of not having 3, P(not 3).

Suppose we were given the probability of having 3, P(3), we can easily find P(not 3).

The probability of success plus the probability of failure of an event is always equal to 1.

If p is the probation success, and q, of failure, then p + q = 1

So,

P(3) + P(not 3) = 1

That is

P(not 3) = 1 - P(3).

Answer:

I will explain how to do this.

Step-by-step explanation: For example A-B is going away from her home because the distance is changing and in the beginning it says Mary starts at her house. So now to continue, where the first letter meets the last letter ( in this scenario its A-B) you'll look at the space between it and count the ticks on the side where it says distance and use the number on the side to guide you. Now for time you'll do the same thing with the ticks on the side. But for where it goes down she is going the opposite way so it'll still be distance but she will be going back home, for the straight line that means she is not moving at all. Hope this helps :)

Answer: 125 cubic cm

A block's volume is found by multiplying the length, width and height. We have 5*5*5 = 125 as the volume. The units are in cubic centimeters which you can write as "cubic cm" or "cc" for short. Another way to write it is as "cm^3"

Side note: Your math book or your teacher may refer to a block as a rectangular prism.

Answer:

125cm^3

Step-by-step explanation:

the formula for V  of a cube is length x width x height. so you will go 5cm x 5cm x 5cm =125cm^3

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: y= - 6

Step-by-step explanation:3×-2= - 6

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:

x-4

Step-by-step explanation:

|x−4|  if x>4

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

x-4

Answer:

one answer

Step-by-step explanation:

the answer is x=2