Answer:
x = √146 = 12.1 (nearest tenth)
Step-by-step explanation:
Apply pythagorean theorem, c² = a² + b², where,
c = x
a = √82 km
b = 8 km
Plug in the values
x² = (√82)² + 8²
x² = 82 + 64
x² = 146
x = √146 = 12.1 (nearest tenth)
The given box plot represents the number of pictures taken by tourists on the same group tour. Which five-number summary represents this
data set?
Photographs Taken by Tourists
00
8
10
12
18
26 28
30 32
14 16 20 22 24
Number of Photographs
OA. 8, 16, 23, 28, 32
OB. 10, 16, 23, 28, 32
Ос. 10, 16, 22, 28, 32
OD. 8, 10, 16, 28, 32
Answer: b: 10, 16, 23, 28, 32
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
its B !
An experiment consists of recording, in order of their births, the sex composition of a four-child family in which the children were born at different times. (Let b represent the birth of a boy and g represent the birth of a girl. Enter your answers using letter combinations separated by commas. Example: bgbg, gggg, ...)
(a) Describe an appropriate sample space S for this experiment.
(b) Describe the event E that there are three boys and a girl in the family.
(a) An appropriate sample space S for this experiment is the set of all possible sequences of four children, where each child can be either a boy (b) or a girl (g). So, the sample space S is:
S = {bbbb, bbbg, bbgb, bgbb, gbbb, bggg, bgbg, gbgg, ggbb, gbgb, bggg, gbgg, gggg, gggb, gggg}
There are 2^4 = 16 possible outcomes in the sample space.
(b) The event E that there are three boys and a girl in the family can be represented by the set of all sequences in the sample space S that have three b's and one g. So, the event E is:
E = {bbbg, bbgb, bgbb, gbbb}
There are 4 possible outcomes in the event E.
plss help me bro :((
Answer:
8√6 is equivalent to 4√8 × √3
Step-by-step explanation:
Simplify the radical
Hope this helps!!
Help me out ASAPP, appreciate it very muchh
Answer:
0.3432 units^2
Step-by-step explanation:
Variable A = area
A = length × width
A = 1.32 units × 0.26 units
A = 0.3432 units^2
In which quadrant does 8(cos2π/3 + isin2π/3) lie?
Answer:
8(cos2π/3 + isin2π/3)
lie in quadrant II
General equation
r(cosØ+isinØ)On comparing
Ø=2π/3Ø=π-π/3It lies in Quadrant 2
what number represents the same amount as 2 hundreds + 12 tens + 6 ones ?
Answer:
326
Step-by-step explanation:
The value of the given expression is 326.
Given:
The given expression 2 hundreds + 12 tens + 6 ones.
To find:
The value of the given expression.
Explanation:
The numeric form of given expression is:
2 hundreds + 12 tens + 6 ones
2 hundreds + 12 tens + 6 ones
2 hundreds + 12 tens + 6 ones
Therefore, the value of the given expression is 326.
Area and
Circumference
The area of the circle is 25.12 unit² and the circumference is 17.75 units.
Define a circle's area and circumference.The space a circle takes up on a two-dimensional plane is known as the area of the circle. The region included by the circle's radius or perimeter is another way to define the circle's area.
A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant π.
The given points of radius are
(x₁, y₁) = (2, 3)
(x₂, y₂) = (4, 1)
The formula for the distance between the specified points is
r = \(\sqrt{(y_{2}-y_{1})^{2} + (x_{2}-x_{1})^{2} }\)
r = \(\sqrt{(1-3)^{2} + (4-2)^{2} }\)
r = \(\sqrt{4+4}\)
r = 2\(\sqrt{2}\) units
The area of the given circle will be given by the formula A = πr²
A = 3.14 × (2√2)²
= 3.14 × 8
= 25.12 unit²
The circumference of the given circle will be given as
C = 2πr
C = 2 × 3.14 ×2√2
C = 12.56√2
C = 12.56 × 1.414
C = 17.75 unit
To know more about the area and circumference of a circle, visit:
https://brainly.com/question/16125353
#SPJ13
How many natural numbers are between 34 and 72? and, how many whole numbers between -2 and 25?
Answer:
There are 37 natural numbers between 34 and 72.
There are 25 whole numbers between -2 and 25.
Step-by-step explanation:
1. Natural numbers between 34 and 72
2. Whole numbers between -2 and 25
1.35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71.
2.0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24.
If
find each measure.
Add.
−2.35+(−1.602)
Enter your answer in the box.
Answer:
i think its
-3.952
The magnitude of an earthquake depending on the energy it produces can be modeled using the equation
M = 0.6666 log x - 3.2. Complete the sentences about the model.
The curve representing the relationship includes the point
The growth factor is
An earthquake with an energy level of has a magnitude of
Answer:
Step-by-step explanation:
FIFTY POINTS
Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition? A. 0 B. 1 C. 2 D. 4 E. infinitely many
Each of the four angles of a quadrilateral measures 90°.
Only 1
we can construct using this condition.
as interior angle of quadrilateral and rectangle is 360°
Answer:
the answer is INFINITELY MANY
Step-by-step explanation:
Help i am stuck please be fast
Answer:
Step-by-step explanation:
They are alike because both involve steps for multiplication and addition but part b uses factoring in its estimation to solve the problem while part c dosesn't.
Juan selects 2 colored pencils randomly. There are 4 green, 3 yellow, 4 red, 3 blue and 2 orange. What is the probability Juan chooses a red, replaces it, and then chooses an orange?
A: 1 over 32
B: 1 over 30
C: 8 over 225
D: 3 over 8
An art museum had seven hundred seven pictures to split equally into five different exhibits. How many more pictures would
they need to make sure each exhibit had the same amount?
Answer:
3 more picks
Step-by-step explanation:
710 divided by 5 = 142
Mean Median Mode Range
I have this numbers : 191 200 379 379 379 459 618 what is my Mean Median Mode Range
Answer:
Mean 372.14285714286
Median 379
Mode 379
Range 427
Step-by-step explanation:
I hope this helps uwu. Goodluck with your work.
On one day at a local minigolf course, there were 414 customers who paid a total of $3,780. If the cost for a child is $9 per game and the cost for an adult is $12 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.
x + y = 414
12x + 9y = 3780
x + y = 414
9x + 12y = 3780
x + y = 3780
12x + 9y = 414
x + y = 3780
9x + 12y = 414
These two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.
The correct system of equations to model this scenario is:
x + y = 414 (Equation 1)
9x + 12y = 3780 (Equation 2)
In this system, x represents the number of children and y represents the number of adults who played that day.
Equation 1 represents the total number of customers, which is 414. It states that the sum of the number of children (x) and the number of adults (y) is equal to 414.
Equation 2 represents the total cost of the games played. Since the cost for a child's game is $9 and the cost for an adult's game is $12, we multiply the number of children (x) by $9 and the number of adults (y) by $12. The equation states that the total cost, which is $3780, is equal to the sum of these individual costs.
Together, these two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.
For more questions on equations
https://brainly.com/question/17145398
#SPJ8
A boy put some money in the first savings bank, which paid 4% interest per annum. At the end of a year, his savings amounted to #72.80. How much was the sum he put?
The initial amount that he put in the bank was $26.73.
How much was the sum he put?Let's say that the sum that he puts in the bank is S.
We know that the bank pays a 4% in interest per year, then the amount that the kid willhave after a year is:
S*(1 + 4%/100%) = S*(1 + 0.04)
And that is equal to $72.80, then we can solve:
S*(1 + 0.04) = 72.80
S = 27.80/(1 + 0.04) = 26.73
The original amount is $26.73
Learn more about interest at:
https://brainly.com/question/25793394
#SPJ1
HELPPPP!!! PLEASEEEE I’M FAILING ALGEBRA AND I NEED HELP WITH THIS QUESTION
a/b The decay can be modeled by this equation, (1 - r), the r being the rate of decay. So it would be 1-0.115. (0.115 is your answer for a) You have to convert the percent into a decimal by moving the deicmal place two places to the left. 0.885 is your answer for b.
c. For function notation, that just means write an equation. So you want your decay times your inital. V(t)=15000(0.885)^x. We get the V(t) from the directions that they want us to put it in; it's basically y.
d. Since it's two years, plug in 2 for x. This shows the decay after two years
V(t)=15000(0.885)^2
e. As with d, plug in 10 for x. V(t)=15000(0.885)^t
Is F=9/5C proportional?
Answer:
No, it is not
Step-by-step explanation:
Answer:
No it is not
Step-by-step explanation:
Write the equation for this sequence where
a₁ = 8 and the common difference is 6
Answer:
\(a_{n}\) = 8 + (n-1)6
Step-by-step explanation:
A study found that 9% of dog owners brush the dogs teeth. Of 578 dog owners, about how many would be expected to brush their dog’s teeth? explain.
Answer:
52
Step-by-step explanation:
Step 1: Our output value is 578.
Step 2: We represent the unknown value with \(x\).
Step 3: From step 1 above, \(578=100%\)%
Step 4: Similarly, x=9%
Step 5: This results in a pair of simple equations:
578 = 100% (1)
x = 9% (2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
578/x = 100% /9%
Step 7: Again, the reciprocal of both sides gives
x/578 = 9 /100
⇒ x = 52.02
Therefore, 9% 578 is 52.02
Round:
Answer: About 52 dog owners are expected to brush their dogs teeth.
Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
Learn more about expression at https://brainly.com/question/1859113
#SPJ1
10+11+x+y+12=32, 9+8+x+z+7=37 what is z-y
Answer: 12
The answer to this equation would be 12, I hope this helps.
Ullany TVd How much 20k stamps can #2.00 buy
Answer: 4000
Step-by-step explanation:
What is pi^pi^pi^pi^pi^pi^pi^pi = many pi's = 10^(10^(10^(10^(10^(10^17.82364533941695)))))
no answer, just take the points
Answer:
Pi is 3.14 for short but, its 3.14159265359
Step-by-step explanation:
The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.
Answer:
pi is a food, totally ;)
Step-by-step explanation:
Select the sketch of the right rectangular prism with height of 2cm and bases that are 5 cm by 3 cm.
Answer: See image
Step-by-step explanation:
The bases are 5cm times 3cm, meaning that 2 parallel sides have to be 5cm by 3cm, 2 other parallel sides have to 2cm by 3cm, and the 2 other parallel sides have to be 5cm by 2cm.
What is the equation of the line in slope-intercept form?
Answer:
y = mx + b
Step-by-step explanation:
Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. Show the work(the steps)! Write an equation of the corresponding quadratic function. How parabola opens? What is the maximum product? Does this function has a maximum value or the minimum value? Explain. Graph the function and upload the image.
The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.
To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.
Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.
To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:
P(x) = x(24 - x)
This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.
The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.
To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.
Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.
So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.
Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.
To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]
For more such question on function. visit :
https://brainly.com/question/11624077
#SPJ8
Find the measure of
9514 1404 393
Answer:
30°
Step-by-step explanation:
The sum of angles in a quadrilateral is 360°.
230° +C +50° +50° = 360°
C = 360° -330° = 30°
m∠C = 30 degrees