The median of this data set is 133.5, the first quartile (Q₁) is 128, the third quartile (Q₃) is 139, and the interquartile range (IQR) is 11.
Explanation:First, arrange the data in ascending order: 106, 127, 129, 132, 135, 138, 140, 158.
Median: The median is the middle value of a data set. Since there are 8 numbers, the median is the average of the 4th and 5th values: (132+135) ÷ 2 = 133.5.
First Quartile (Q₁): This is the median of the lower half of the data. Here, it is the average of the 2nd and 3rd values: (127+129) ÷ 2 = 128.
Third Quartile (Q₃): This is the median of the upper half of the data, which is the average of the 6th and 7th values: (138+140) ÷ 2 = 139.
Interquartile Range (IQR): You find the IQR by subtracting Q₁ from Q₃, hence IQR = 139 - 128 = 11. The IQR represents the middle 50% of the values when ordered from lowest to highest.
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Alyssa has 48 muffins which he need to box up in dozens how many boxes does she need
Answer:
4 boxes
48/12 = 4
Step-by-step explanation:
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Answer:
4 boxes
Step-by-step explanation:
This problem is fairly simple all you need to do is divide 48 by 12 and you should get 4. If that is too hard than you can see what 12 multiplyes by to get 48.
Hope that Helped :)
Between which two whole numbers is
√12?
Answer:
It lies between three and four.
Step-by-step explanation:
Answer:
First, find the square root of 12
√12=3.46410161514
Whole numbers are: 0,1,2,3,4,5...
So, the 2 whole numbers √12 lies between are 3 and 4
Suppose the number of bacteria in a certain population increases according to a continuous exponential growth model. a sample of 2200 bacteria selected from the population reached the size 2300 bacteria in one and a half hours. Find the hourly growth rate parameter.
The hourly growth rate is 2%
An exponential growth is in the form:
y = abˣ;
where y, x are variables, a is the initial value of y and b > 1
Let y represent the number of bacteria after x hours.
There was initially 2200 bacteria, hence a = 2200. The equation becomes:
[tex]y=2200(b)^x\\\\\\After\ 1.5\ hours,y=2300:\\\\\\2300=2200(b)^{1.5}\\\\\\b^{1.5}=1.045\\\\1.5lnb=ln(1.045)\\\\ln(b)=0.0296\\\\b=1.02[/tex]
Therefore the hourly growth rate is 1.02 - 1 = 0.02 = 2%
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Solve the following system of equations (ASAP please)
Answer:
The answer to your question is the letter A. (4, -8) and (1, -5)
Step-by-step explanation:
Data
x + y = -4 Equation l
y = x² - 6x Equation ll
Process
1.- Substitute equation ll in equation l
x + x² - 6x = -4
2.- Solve the quadratic equation
x² - 5x + 4 = 0
Factor (x - 4)(x - 1) = 0
-Solve for x
x₁ - 4 = 0 x₂ - 1 = 0
x₁ = 4 x ₂ = 1
3.- Substitute x₁ and x₂ in equation l
4 + y₁ = -4 1 + y₂ = -4
y₁ = -4 - 4 y₂ = -4 - 1
y₁ = -8 y₂ = -5
4.- Solutions
(4, -8) and (1, -5)
Can someone please help me ASAP
[tex]y=4-x^2\\x-y=2 \\ \\ y = 4 - {x}^{2} \\ x = 2 + y \\ \\ y = 4 - {(2 + y)}^{2} \\ {y}^{2} + 5y = 0 \\ y(y + 5) = 0 \\ y = 0 \\ y = - 5[/tex]
[tex]x = 2 + 0 = 2[/tex]
[tex]x = 2 + ( - 5) = -3[/tex]
What is the probability of a rolling a sum of 10 when rolling two number cubes
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
There are 36 total possible combinations with 2 number cubes. Only 3 of these combinations add up to 10 (4 and 6, 5 and 5, 6 and 4).
[tex]\frac{3}{36} =\frac{1}{12}[/tex], so the probability is [tex]\frac{1}{12}[/tex].
Answer:
1/12
Step-by-step explanation:
after how many places the decimal expansion of 13497/1250 will terminate
Answer:
4
Step-by-step explanation:
13497/1250
12500 + 997/1250
12500 + 0.7976
12500.7976
Answer:
4 places of decimals.
Step-by-step explanation:
13497.1250 = 10.7976.
What was the temperature 1 hour ago
Answer:
it depends what country you are referring to
In order to find a place's temperature, you have to have the continent and the place you are looking for. Temperatures are different every hour. Hope this helps! Stay safe and have a great day!
- Dhruva :)
Which of the following statements about a variable are true?
A variable cannot be subtracted.
A variable is represented by a letter.
A variable represents a quantity.
A variable cannot be multiplied.
Answer:
option b and c are true ...
can 5ft 9ft 14ft make a triangle?
Answer:
Any dimensions can make a triangle, however
this does not make a right angled triangle.
Step-by-step explanation:
Determine the length of the hypotenuse of a right angle triangle with side lengths 5ft and 9ft by using the formula:
[tex]a^2+b^2=c^2\\[/tex]
[tex]\sqrt{a^2+b^2} = c[/tex]
[tex]c=10.29[/tex]
This is not equal to 14ft.
Answer: No, those measurements cannot make a triangle
Why not? Because of the fact that the first two sides (5 and 9) add to 5+9 = 14, which is exactly as long as the third side. I recommend you using a ruler to measure out 5 inches, 9 inches and 14 inches. Mark all three as separate segments on a piece of paper. Then cut out those segments to form strips of paper with the given lengths. Then try to form a triangle. You'll find that it is impossible since the smaller segments combine perfectly to get the longest segment. Instead of a triangle, you'll only have a line segment forming.
As a rule, when you add any two sides of a triangle, they must add to something larger than the third side. The rule more formally is
For any triangle with sides a,b,c, the following three inequalities must hold true
a+b > ca+c > bb+c > a1. Walter stopped at the grocery store and
purchased the items on the list below. The
sales tax on the items was 6.25%. How
much did Walter spend at the grocery
store?
Item
Price
Soup
$1.99
Oranges
$3.49
Newspaper
$2.50
Answer:
$8.48
Step-by-step explanation:
Total of Items:
Add up the prices of all the items he bought
soup+oranges+newspaper
1.99+3.49+2.50=7.98
$7.98
Sales Tax:
Multiply his total by the sales tax rate
7.98*6.25%
Convert 6.25% to a decimal
6.25/100=0.0625
7.98*0.0625=0.49875
0.49875
Total With Tax
Add the tax to his total without tax
7.98+0.49875=8.47875
Round to the nearest cent, or hundreth
$8.48
Write a quadratic function f whose zeros are 4 and -5
Answer:
x^2+x-20
Step-by-step explanation:
x = 4
x - 4 = 0
x = -5
x + 5 = -5
(x + 5)(x - 4)
x^2+x-20
The quadratic function with zeros 4 and -5 is f(x) = x² + x - 20.
To write a quadratic function f(x) whose zeros are 4 and -5, we can use the fact that the zeros of a quadratic function correspond to the values of x that make the function equal to zero.
A quadratic function can be represented in the form:
f(x) = a(x - r1)(x - r2)
where r1 and r2 are the zeros of the function.
Given zeros are 4 and -5. Substituting these into the formula, we get:
f(x) = a(x - 4)(x + 5)
Expanding this, we obtain:
f(x) = a(x² + x - 20)
To simplify, we can choose a value for a, usually 1 for simplicity:
f(x) = x² + x - 20
This is the quadratic function with zeros at 4 and -5.
- 3√45-√ 125 + √200-√150
Answer:
=-80-5√5
this is the answer
hope this helps
A support wire is tied diagonally from the middle of a tree to a stake on the ground. The length of the wire is 10 ft and the angle of
elevation from the stake is 55". Approximately how high on the tree is the connection point of the wire?
Answer:
8.2 ft
.Step-by-step explanation:
Sketch this situation. Label the 55° angle. The adjacent side is the distance from the stake to the bottom center of the tree. The opposite side is the distance from the ground to the connection point of the wire on the tree. The wire length represents the hypotenuse of this triangle. We want to find the length of the side opposite the 55° angle. Thus, we write
sin 55° = (opposite side)/(hypotenuse), or
(hypotenuse)(sin 55°) = (10 ft)(0.819) = 8.2 ft
Using trigonometry and the sine function, we can calculate the height of the tree as 10 ft * sin(55), which equals approximately 8.19 ft.
Explanation:This problem can be solved using trigonometry, specifically the sine function. In a right triangle, the sine of an angle is defined as the length of the opposite side divided by the length of the hypotenuse. In this case, the tree forms the opposite side of our triangle, the support wire forms the hypotenuse and the angle of elevation is 55 degrees.
To express this mathematically, we can write: sin(55) = height / 10 ft. Solving this equation for height gives us: height = 10 ft * sin(55). Using a calculator, we find that sin(55) is approximately 0.81915, so the height is around 8.19 ft. Therefore, the connection point of the wire to the tree is at approximately 8.19 ft high.
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What is the degree measure of x?
Answer:
134 degrees
Step-by-step explanation:
Because all triangles add up to 180 degrees, the missing degree inside the triangle would be 46 degrees. The 46 degrees are the missing side for the line and since all lines equal 180 degrees, 180 - 46 = 134
Chris is an appliance repairman. He charges $80 to come out and $60 per hour, thereafter. a) Using h for the number of hours and C for his total cost to his customer, state an equation describing this situation.
Answer:
$80 + $60h =C
Step-by-step explanation:
$80 is the amount charged to come out
$60 times h (h is the number of hours)
add them together for total cost
The equation C = 80 + 60h describes Chris's total cost.
Independent variable: Hours of work, represented by h.
Dependent variable: Total cost, represented by C.
Equation: C = 80 + 60h
Y-intercept: $80, as it is the initial charge when no hours are worked.
Slope: $60 per hour, indicating the rate at which the cost increases per hour of work.
Which student solved the equation 107 d = 1,733.4 correctly?
Answer: Sammi's work:
107d=1,773.4
1773.4 divided by 107 = 16.2
Step-by-step explanation:
The value of d for the given expression will be d = 16.2.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Given that the expression is 107d = 1,733.4. The value of d will be calculated as:-
107d=1,773.4
To calculate the value of d the number 1773.4 is divided by 107.
107d=1,773.4
d = 1,773.4 / 107
d = 16.2
Hence, the value of d will be 16.2.
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activating prior knowledge what is a factor
Step-by-step explanation:
A factor is the number in a multiplication problem.
PLEASE HURRY DOUBLE POINTS+BRAINLY my question is in the picture
Answer:
(6, - 5)
Step-by-step explanation:
The equation of circle in centre radius form is:
[tex](x - h)^{2} + (y - k)^{2} = {r}^{2} \\ plugging \: h = 3 \: \: k = - 9 \: and \: r = 5 \\ (x - 3)^{2} + \{y - ( - 9) \}^{2} = {5}^{2} \\ (x - 3)^{2} + (y + 9)^{2} = 25 \\ let \: us \: plug \: x = 6 \: and \: y = - 5 \: in \: lhs \\ lhs = (6 - 3) ^{2} + ( - 5 + 9) ^{2} \\ = (3) ^{2} + ( 4) ^{2} \\ = 9 + 16 \\ = 25 \\ = rhs \\ hence \: (6, \: \: - 5) \: is \: on \: the \: circle.[/tex]
Answer:
Answer is option b) (6,-5)
Step-by-step explanation:
[tex]given \: that \: \\ centr e\: of \: circle \: is(3, - 9) \\ and \: radius \: is \: 5 \\ when \: \: we \: calculate \: the \: distance \: between \: (3, - 9) \: and \: (6, - 5) \\ distance \: = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } \\ here \: x1 = 3 \: \: y1 = - 9 \\ x2 = 6 \: \: \: \: y2 = - 5 \\ on \: substituting \: the \: values \\ = \sqrt{(3 - 6) + {( - 9 + 5)}^{2} }^{2 } \\ = \sqrt{ { - 3}^{2} + { - 4}^{2} } \\ = \\ = \sqrt{9 + 16} \\ = \sqrt{25} \\ = 5[/tex]
(6 -5) is a point on the circle.
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
An initial population of 2 bunnies each has 6 babies per month. Using x for months and y for the number of bunnies, write the equation that models this situation.
Answer:
x = 3y
Step-by-step explanation:
In this question, we are asked to model an equation that clearly mimics what we have in the question using certain type of variables.
Now initially, we are told that we have 2 bunnies having 6 babies. what does this tell us?
Looking at this, we can see that the number of babies is exactly 3 times the number of bunnies. More like saying 3 times the number of bunnies equal the number of babies.
so leveraging in this finding and applying the variable, we can say each of the 2 bunnies has 3 babies per month.
Mathematically, this is same as x bunnies = 3y babies per month
Noah jumped rope for 9 minutes. What percentage of Diego’s time is that? Diego's time is 20.
Answer:
45%
Step-by-step explanation:
Diego's time is 20 and a whole is 100% so multiply 9 by 5 because 20 x 5 is 100 9x5=45. This means Noah's time is 45% of Diego's time
Answer:
45% or 45 percent
Step-by-step explanation:
Yes oof
What is the surface area of the cube shown?
6.5 lenth 6.5 hieght
Answer:
253.5
Step-by-step explanation:
basically i had the same question so yeah! and im a pro at math
Answer:
Yup, It's 253.5 :)
Step-by-step explanation:
I checked it. It was right ^^
Round 4.377 to the nearest hundredth.
Answer:
Submit
Answer:
4.38
Step-by-step explanation:
Answer:
Its 4.38
Step-by-step explanation:
Its because 4.377¨s hundredth place is the 7 near the 7 so rounding a digit with a number of 5 or greater would lead to changing the hunderedth place into a bigger number.
I need help please!! Thanks
Answer:
if I'm correct it's 22 don't quote me on it
Answer:
Surface area = 942.688
The scale on a map of Indiana is 1 inch = 42 miles. Jill measured the distance on the map from the eastern border to the western border, and it was 3.375 inches. How far is the actual distance? Round to the nearest mile. (whole number) Group of answer choices
Answer: The actual distance is 142 miles.
Step-by-step explanation:
First, you multiply the 3.375 inches by 42 miles since you are trying to scale. It equals 141.75. If you round it to the nearest mile, it equals 142 miles.
Kerry writes a list of all the integers from 1 to n on a whiteboard. She uses the digit 0 five times and the digit 9 six times. What is the value of n?
The value of the number 'n' that has the digit 0 five times and the digit 9 six times will be 59.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Range of the number Times of '0' Time of '9'
1 - 9 0 1
10 - 19 1 1
20 - 29 1 1
30 - 39 1 1
40 - 49 1 1
50 - 59 1 1
Total 5 6
Then the value of the number 'n' that has the digit 0 five times and the digit 9 six times will be 59.
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Company Mailing Of a company's mailings 1.5% are returned because of incorrect or incomplete addresses. In a mailing of 200 pieces, find the probability that none will be returned
Answer:
0.0487 = 4.87%
Step-by-step explanation:
The probability of one mail being returned is 1.5% = 0.015, so the probability of the mail not being returned is 1 - 0.015 = 0.985. If we want 0 mails returned from a total of 200 mails, we have 0 mails returned (probabilitity of 0.015) and 200 mails not returned (probability of 0.985), then the final probability is calculated as follows:
Probability = (0.985)^200 * (0.015)^0 = 0.0487 = 4.87%
To find the probability that none of the 200 mailings will be returned because of incorrect or incomplete addresses, we can calculate the probability of an individual mailing not being returned and multiply it by itself 200 times.
Explanation:To find the probability that none of the 200 mailings will be returned, we need to calculate the probability that each individual mailing is not returned. Given that 1.5% of mailings are returned, the probability of an individual mailing not being returned is 1 - 0.015 = 0.985. We can then find the probability that none of the mailings are returned by multiplying this probability by itself 200 times.
P(no mailings returned) = (0.985)200
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NEED THIS ANSWERED ASAP.
y=–5x + 30x=10
What is the solution to the system of equations?
(–20, 10)
(10, –20)
(10, 4)
(4, 10)
The answer is B, i had to find out on my own....
Answer:
(10, -20) because y=_5x + 30x=10 and there are only 2 answers with 10 in the beginning so also 20 is greater than 40.
Step-by-step explanation:
B
Answer:
Step-by-step explanation:
Darcia made a snack mix using the following recipe.
1 ¼ cups granola, ¾ cup peanuts, ½ cup raisins, ¼ cup chocolate chips. If she used 3 cups of granola and wanted to keep the ingredients proportional, how much would she use of each of the other ingredients. Write your answer as a fraction in simplest form. Use / for the fraction bar.
cup(s) peanuts
cup(s) raisins
cup(s) chocolate chips
Answer:
1 4/5 = peanuts
1 1/5 = raisins
3/5 = chocolate chips
Step-by-step explanation:
3 ÷ 1 1/4 = 2 2/5
2 2/5 × 3/4 = 1 4/5
2 2/5 × 1/2 = 1 1/5
2 2/5 × 1/4 = 3/5
To keep proportions with 3 cups of granola, Darcia would need 1 ½ cups of peanuts, 1 ¼ cups of raisins, and 3/5 cup of chocolate chips in her snack mix.
Explanation:Darcia has increased her granola measurement to 3 cups, which is 2.4 times more than the original 1 ¼ cups used in the snack mix recipe (since 3 ÷ 1.25 equals 2.4). To keep the other ingredients proportional to the new quantity, we need to multiply their original amounts by the same factor of 2.4
Therefore, if she used 3 cups of granola, she would use 1 ½ cups of peanuts, 1 ¼ cups of raisins, and 3/5 cup of chocolate chips to maintain the proportions in her snack mix.
Kerri Payne is employed by Carterer's Central company. She has a family membership in the health insurance program. The annual premium is $6,486. Payne's employers pays 80 percent of the total cost. Her contribution is deducted from her paycheck. What is Payne's annual contribution?
Final answer:
To calculate Payne's annual contribution, multiply the annual premium by 20% and subtract that amount from the annual premium.
Explanation:
To calculate Payne's annual contribution, we need to determine 20% of the total cost of the health insurance premium and then subtract that amount from the annual premium.
Step 1: Find 20% of $6,486. Multiply $6,486 by 0.2 to get $1,297.20.
Step 2: Subtract the 20% contribution from the annual premium. $6,486 - $1,297.20 = $5,188.80.
Payne's annual contribution is $5,188.80.