Turtles can live a long time. This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:
A box turtle and a map turtle escape from the reptile house of the Kalamazoo Zoo. The box turtle is older than the map turtle. The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape.
What is the age of the escaped box turtle?
Answers
Answer:
1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67
The average age is 22 yrs
The sum of the ages is 440 yrs
When two of the turtles leave, the average is 21 yrs....and there are 18 turtles left
So....the sum of the ages is 21 * 18 = 378
And the difference in the sums is 62
The only two values that sum to 62 are 26 and 36
So.....the box turtle must have been 36 and the map turtle must have been 26
Step-by-step explanation:
The age of the escaped box turtle is 36 years in the reptile house of the Kalamazoo Zoo.
What is the stem-and-leaf diagram?A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:
1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67
To find the age of the escaped box turtle, we can first find the average age of all the turtles before the escape. To do this, we can add up all the ages and divide by the number of turtles:
(1+1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67)/20 = 26
The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape, so the average age of the turtles remaining at the zoo is 26 - 1 = 25 years.
To find the age of the escaped box turtle, we need to subtract its age from the average age of the remaining turtles.
Let's represent the age of the box turtle X. We can set up the equation:
(1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67 - X)/19 = 25
We can solve this equation by multiplying both sides by 19 and then subtracting 67 from both sides:
1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 - X = 475
Then we can add X to both sides to get:
1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 -X + X = 475 + X
This simplifies to:
X = 36
Therefore, the age of the escaped box turtle is 36 years.
To learn more about the stem-and-leaf diagram click here:
https://brainly.com/question/8450114
#SPJ2
Related Questions
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Answers
Decimal- .44
Percentage- 44%
Answer:
Fraction: there are 100 squares and 44 of them are blue
44 / 100
Decimal: 24 / 100 = 0.44
Percent: 0.24 x 100 = 44%
What is the area and circumference of the circle (3.14 for pi)
Answers
We will use the proper formula and solve.
-> A diameter of 48 / 2 = 24 feet as our radius
Area:
A = πr²
A = (3.14)(24)²
A = 1,808.64 ft²
The circle has an area of about 1,808.64 ft²
Circumference:
C = 2πr
C = 2(3.14)(24)
C = 150.72 ft
The circle has a circumference of about 150.72 ft
Answer:
Circumference = 150.72
Area = 1808.64
Step-by-step explanation:
PLS HELP!! ITS PROBABILITY!!!
A) if a family has three children, what is the probability that all three children are girls? all three children are boys?
B) what is the probability of having 2 girls and one boy?
C) what is the probability of having 2 boys and one girl?
D) josh has a younger brother. what is the probability that a third child will be another boy? explain.
Answers
Answer:
probability=number of favorable outcome÷total number of favorable outcome
Step-by-step explanation:
A the probability that all children are boys =3÷3 =1
same answer with the girl children
Answer:
A) 1/8 or 0.125 for three girls and three boys
B) 3/8 or 0.375 for two girls and one boy
C) 3/8 or 0.375 for two boys and one girl
D) 1/2 or 0.50, explanation provided below
Step-by-step explanation:
Part A) If a family has three children, the probability that all three children are girls can be found by first finding the probability of one child being a girl. The probability of being a girl in this case is 1/2. The probability of three girls is thus (1/2) * (1/2) * (1/2) = 1/8 or 0.125. The probability of one child being a boy is 1/2, and so rather than repeating the above steps, we can simply say that it is also 1/8 or 0.125.
Part B) For this part, it is probably easiest to list the combinations:
BBB
BBG
BGB
BGG
GBB
GBG
GGB
GGG
There are three outcomes with two girls and one boy and thus the probability is 3/8.
Part C) Looking at the combinations above, we also see that there are three outcomes with two boys and one girl, and thus the probability is 3/8.
Part D) The fact that Josh has a younger brother does not affect the probability that the third child will be a girl or boy. The probability of the third child being a boy is still 1/2.
7. A machine produces 900 light bulbs in 1 hour.
The rate is ___________ light bulbs per minute.
Answers
Answer:
15
Step-by-step explanation:
900 light bulbs per hour
60 minutes per hour
X lightbulbs per minute
Divide 900 lightbulbs by 60 minutes
15
The rate is 15 light bulbs per minute
please help me with this square!
Answers
Answer:
EF
Step-by-step explanation:
its EF because its on the same corresponding side as LM
BRAINIEST PLS MY LADY
Answer:EF
Step-by-step explanation:
corresponds means having a close similarity; match or agree almost exactly. and by looking at the graph EF corresponds with LM meaning that EF is the answer.
Hope this helps, have a good day/night!
please help me get the answers
Answers
Answer:
Step-by-step explanation:
2 by 2
Please help me with this I would give you 50 points.
Answers
Answer:
#1, x=57
#2, r=223
#3, h=17
#4, g=48
Step-by-step explanation:
Item 19
A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.
How many campers chose basketball as their favorite activity?
26 campers
36 campers
44 campers
58 campers
Answers
Answer:
C. There would be 44 Campers who like basketball.
Step-by-step explanation:
When you divide 200 and 22% you get 44. 44 campers like basketball
REPOST Now h e l p
Thank you :)
Answers
Answer:
option C
Explanation:
For Naomi's rectangular prism:
⇒ Length × Width × Height
⇒ 5 × 14 × 2
⇒ 140 cm³
For Ben's triangular prism:
⇒ 1/2 × Base × Height × Length
⇒ 1/2 × 5 × 4 × 14
⇒ 140 cm³
The prism's have the same volume.
Answer: Choice C
===========================================================
Explanation:
The volume of the rectangular block is:
V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.
Now move onto the triangular prism.
The triangular face has a base of 5 cm and height of 4, so the area of this face is
A = base*height/2 = 5*4/2 = 20/2 = 10 square cm
Multiplying this with the depth of the prism tells us the volume is
V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm
Therefore, the prisms have the same volume.
Mark burns 51 calories when he plays volleyball for 15 minutes. At this rate, how fast is Mark burning calories?
Answers
A box has the shape of a rectangular prism with height 31 cm. If the height is increased by 0.9 cm, by how much does the surface area of the box increase? 31 cm 12 cm 7.2 cm Use pencil and paper. Show your work. Then show a second way to solve the problem. Explain which way you like better and why. The surface area increases by cm2
Answers
First size: SA1 = 2B + Ph, where B = area of the base of the figure, P = perimeter of the base and h = height
SA1 = 2(12*7,2) + (12+7,2)*31 = 172.8 + 595.2 = 768 cm^2
Second size: SA2 = 2B + ph2 (where h2 is the new height, 31.9 cm)
SA2 = 2(12*7,2) + (12+7,2)*31.9 = 785.28 cm^2
It increases (by rounding it down) by 17 cm^2.
please help my finale math exam is do to night
1: What is the volume of a circular cake pan that measures 8 inches across and 2 inches high?
2: How many outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time?
3: Sammy puts 12 M&Ms in a bag. 3 are green, 4 are yellow, 2 are orange, and 3 are red. He pulls one M&M at a time from the bag and eats it. What is the probability he will pull a yellow, then a green, then a red?
4: A magician is doing a trick that needs 3 volunteers and he has 100 audience members to choose from. How many different ways can the magician choose his volunteers?
5: A waiter in a restaurant has 8 booths available. How many different arrangements are possible to seat 8 groups of people?
Answers
Answer:
Dimension volume
6 cups (1.5 L) 8 x 2 inch (20 x 5 cm) Round Cake Pan
6 cups (1.5 L) 9 x 1.5 inch (23 x 4 cm) Round Cake Pan
6 cups (1.5 L) 8 x 8 x 1.5 inch (20 x 20 x 4 cm) Square Cake Pan
8 cups (2 L) 9 x 2 inch (23 x 5 cm) Round Cake Pan
here are four outcomes that sum to seven out of 24 possible outcomes. Therefore the probability of values of four sided die and six sided
Step-by-step explanation:
PLEASE HELP!!!!!!! URGENT!
Drag the tiles to the correct boxes to complete the pairs.
Match each event to the likelihood of its occurrence.
Answers
Answer:
My explanation is below.
Step-by-step explanation:
rolling a six sided die and getting 7 = impossible
This is because a six sided die doesn’t even have the number 7 on it.
Randomly selecting a girl from a team of 14 boys and 4 girls = unlikely
This is because, if there are 14 boys and 4 girls, the girls have a lower chance of getting picked.
Randomly selecting a short straw from a set of 12 short straws and 12 long straws = neither likely nor unlikely
This is because the chance of picking a long straw is 12/24 and the chance of picking a short straw is 12/24 so it’s equal or neither unlikely or likely since you have a equal chance of picking either one.
Picking a bird from a list of 20 bird species and 6 other animals = likely
This is likely because, 20 is more than 6 and because there are 20 birds and 6 other animals, the birds are more likely.
picking a bird from a list with 6 other animals-likely
randomly selecting straws- neither likely or unlikely
randomly selecting a girl-unlikely
hope this helps :)
Please I need help
Point Y is the center of the circle. Which line segment is congruent to line segment XY?
A) line segment UZ
B) line segment ZU
C) line segments ZU and YZ
D) line segments UY and ZY
Answers
Answer:
D
Step-by-step explanation:
they are all congruent in length.
Answer:
D) line segments UY and ZY
Step-by-step explanation:
Congruent is when things are the same size and shape. Therefore, the only line segments that are congruent to line segment XY are line segments UY and ZY.
i need help on this- nothing is right for me
Answers
Answer:
5. Area = 28.5 cm; 6. Area = 544,500 cm
Step-by-step explanation:
Area = Length×Width
5. You have to convert the mm to cm by dividing the mm by 10. Then just multiply the length and width.
6. Same thing; different unit, convert the m to cm (or vice versa, not sure which unit you need to answer in) and multiply the length and width.
Answer:
5. Area = 28.5 cm; 6. Area = 544,500 cm
Step-by-step explanation:
which one could it be I don´t understand circumference nor pie
Answers
Answer:3
Step-by-step explanation:
Explanation:
The circumference is basically the perimeter of the circle. To find the circumference, you do diameter • pi. Pi is a number that we use for finding circles. It goes on and on. They are still finding numbers to this day. For most problems, you will use 3.14. In order to find the diameter in this case, you will do circumference divided by pi. Because remember, C = D • pi. From there you will get your diameter. Hope this helps!!
If the rectangle below is enlarged using a scale factor of 1.5, what will be the area of the new rectangle?
Answers
Answer:
31.5 square inches
Step-by-step explanation:
7 x 1.5 = 10.5
2 x 1.5 = 3
10.5 x 3 = 31.5
HELP ASAP!!!!!!!!!!!!!!!!!!!!!! ^^ (WILL GIVE BRAINLIEST)
Answers
Answer:
1438 cm²
Explanation:
Rectangular prism area: 2(length × width + width × height + length × height)
Here given:
length: 19 cmwidth: 11 cmheight: 17 cmFind Surface Area:
2(19 × 11 + 11 × 17 + 19 × 17) = 2(719) = 1438 cm²
Please help me with this I would give you 50 points.
Answers
Answer:
15d=165
Step-by-step explanation:
15 dollars per dough (d)= 165 dollars
Hope this helps! ;-)
~Master Chief
Let's solve this problem step by step:
So we know that Isaac sold 'x' number of tubs of dough
⇒ and that each tub of dough is worth 15 dollars
⇒ means he made '[tex]15*x'[/tex] dollars from selling 'x' tubs of dough
⇒ coincidently, we know that he made a total of $165
⇒ So the equation is: [tex]15x = 165[/tex]
Answer: 15x = 165
Hope that helps!
The cost of a cleaning service includes labor and supplies. Supplies are 30% of the total cost. The cost of supplies for a certain cleaning service is $54.
What is the total cost of the cleaning service?
Enter your answer in the box.
Answers
Answer: $37.8
Step-by-step explanation: To find the cost of the supplies we multiply $54 by .3 (the decimal version of 30%). The total is 16.2 . If we subtract this from the total amount we find the cost of the cleaning service. 54-16.2 = 37.8
True or False? In Exercises 119 and 120, determine whether the equation is true or false. Justify your answer.
120. \ln (x+y)=\ln x+\ln y
Answers
Answer:
True
Step-by-step explanation:
To find true or false
Using the properties of logarithms, the left side of the given equation .logb b^2r=2r
, is equivalent to logb b^2r = 2x logb b
(use Power Rule)
=2x(1)
=2x
Hence, the given statement is a true statement.
whats the answer to this
Answers
Answer: About 9.2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem. We are solving for the hypotenuse which is the "c" variable in the formula.
a² + b² = c²
7² + 6² = c²
7² + 6² = c²
49 + 36 = c²
85 = c²
[tex]\sqrt{85}[/tex] = c
9.2 ≈ c
( brainliest ) John earned $60 babysitting. He spent 40% of the money on takeout food. Does he have enough money left to buy a backpack for $37.50? Show all your work.
Answers
Answer:
He does not have enough money left to buy a backpack for $37.50
Step-by-step explanation:
If he spent 40% of $60 on take out food, that means he spent $24.
So the remaining money would be $60-$24=$36.
So, no, he does not have enough money left to buy a backpack for $37.50
14. A machine can print 1,520 pages per hour. How many pages can it print in 15 min?
Answers
Answer:
Step-by-step explanation:
1 hour equals 60 minutes
Find out how many pages per minute by dividing 1,520 pages by 60 minutes.
= 25.3333333
Therefore the machine prints 25.333333 pages per minute.
Multiply 25.3333333 by 15 minutes = 380
The machine can print 380 pages in 15 minutes.
You can check your work by finding out how many fifteen minute periods are in an hour (60/15=4), and multiplying 380x4
Since 15x4 is 60 and you can print 1520 pages in 60 minutes, you should be able to multiply 380x4 and get 1520 (spoiler alert! 380x4 is 1,520)
Hope that helped!
pls help it says 1c.) On the number line, show all the values of t that make your inequality true. Select the appropriate inequality from the icons shown below and draw the location on the number line where you would like to place it. (screenshot below)
Answers
Answer: Please give all parts of the question. 1a and 1b
Step-by-step explanation:
-1 1/2 _ -1 3/4 which one is greater or less, or equal?
Answers
Answer:
The answer is -1 1/2 is less than -1 3/4
Step-by-step explanation:
I look at it more as numbers, so for example 1/2 can be simplified into 50, and 3/4 is 75/ 75 would be greater if it was positive. But, with there being a negative 1 in front of the answer, the lowest number closest to 0 is better. :D
Answer: -1 1/2 is greater
Step-by-step explanation:
-1 1/2 is closer to zero and that makes it larger because they are negative numbers.
pls help meeeee
A customer purchased x gallons of gas for $2.98 each. The customer gives the cashier $20.00 and gets $2.12 in return.
How many gallons of gas did the customer buy?
Answers
Answer:
6 gallons of gas
Step-by-step explanation:
20.00 - 2.12 = 17.88
17.88 divided by 2.98 equals 6
Amy loaned $5 each to 10 people. She recorded each loan by writing -$5 in her bank book.What is the total change in the amount of money Amy had before the loans?
-$10
-$5
-$50
$20
Im doing 20 point questions right now look at my page.
Answers
What do you think of when you hear the word statistics?
Answers
Answer:
Whenever I hear Statistics I think of numbers and the different probabilities
and I also sometimes think of numbers but overall, it depends on the sense of how it is being talked about I hear it about/the subject when people talk about statistics.
Hope this helps!
ill give brainly
Which measure is equivalent to 48 quarts?
1 cup = 8 fluid ounces
1 quart = 4 cups
60 fl oz
96 fl oz
384 fl oz
1536 fl oz
Answers
Answer: 1536 is equivalent to 48 quarts
Step-by-step explanation:
If you firstly divde 1536 by 8 you'll get 192 then is u divide that by 4 you'll get 48
