A random group of 114 adults and 136 teenagers completed a maze. Their times were recorded, and a prize was given if they
finished the maze in under 10 minutes.
There were 20 more teenagers than adults that received a prize for completing the maze in under 10 minutes.
There were 62 adults who finished the maze in 10 minutes or longer.
Create a two-way frequency table to represent this data. Type the correct answer in the box. Use numerals instead of words.
Answers
The adults less than 10 minutes are 52, the teenager less than 10 minutes 72, the teenager more than 10 minutes are 64, and the total is 250.
What is mathematical operations in reasoning?
The study is based on the mathematical operations that are multiplication, addition, subtraction, and division. “Mathematical Operations reasoning” is the simple process of the expression of the containing numbers and various operations in the mathematical field.
Time to complete Maze
less than 10 minutes 10 minutes or more Total
Adults 52 62 114
Teenager 72 64 136
Total 124 126 250
114 - 62 = 52 {adults less than 10 minutes}
52 + 20 = 72 {teenager less than 10 minutes}
136 - 72 = 64 {teenager more than 10 minutes}
124 + 126 = 250 {total}
Hence, the adults less than 10 minutes are 52, the teenager less than 10 minutes 72, the teenager more than 10 minutes are 64, and the total is 250.
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Related Questions
A one-way trolley ticket to Old Town costs 3.50. How much will it cost for Ahyeon and three friends to ride to Old Town and home again?
Answers
Answer:
$28
Step-by-step explanation:
Each round trip will be double the price of a one-way trip, so will be ...
2 × $3.50 = $7.00
Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...
4 × $7.00 = $28.00
Find the value of x in the parallelogram
Answers
The value of x in the parallelogram is 112°.
In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.
To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.
Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.
Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.
Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.
This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.
For the given question, we know x° + 68° = 180°.
Then x° = 180° - 68°
x° = 112°
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When an observed difference between two groups on the dependent variable is attributed to the effect of the dependent variable through statistical hypothesis testing then we know that
it is unlikely that the difference would occur by chance alone
Answers
It is true that when difference on dependent variable is attributed to effect of that variable through statistical hypothesis testing then it is unlikely that the difference would occur by chance alone
A formal assertion about the nature of a phenomenon made within the constraints of a statistical model is known as a statistical hypothesis.
Statistical hypothesis is a description of the makeup of a population. A population parameter is frequently used to express it.
There are two statistical hypotheses used in hypothesis testing. The above-described null hypothesis (H0) is the first.
If it turns out that the null hypothesis is statistically invalid, an alternative hypothesis (Ha) for each H0 will be given preference. Depending on the research hypothesis, the Ha may be directed or nondirectional.
About the statement in the question,
It is improbable that an observed difference between two groups on the dependent variable would occur by chance alone when the difference is explained by the effect of the dependent variable through statistical hypothesis testing.
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Hi can any one teach me this constant difference
Answers
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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5. In the morning, Kevin's cat eats 1/2 of a can of cat food. In the afternoon, the cat eats 1/4 of a can of food. In the evening, the cat eats 4/5 of a can of food. Which is the most reasonable estimate for the amount of food the cat eats throughout the day: 1 can, 2 cans, or 3 cans?
In just lazy so thanks people who are helping me
Answers
Answer:
2 cans
Step-by-step explanation:
1/2 + 1/4 + 4/5 = 1.55
2 is the best answer since we know the cat eats more than 1 and a half cans so the closest thing would be 2 cans
A certain type of cell doubles every 5 hours. If you started with 38 cells, how manywould you have after 15 hours? (gridded response)
Answers
First divide 15 hours by 5 :
15/5 = 3
So, we obtain that the cell will double 3 times
since the initial number o f cells is 38
5hours = 38x2 = 76
10 hours = 76x2= 152
15 hours =152 x2 = 304
304 cells
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answers
Answer:
(1.5,-0.5)
Step-by-step explanation:
We can see that is true because the distance from K to H is the same as that from H to M
Please help me I’ll mark you brainly
Answers
On solving the provided question, we can say that - here in graph we have on solving equation \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
from graph, x= 2
y = 1
\(2x^2+ 9y^2 \\\)
\(8 + 9 = 17\)
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Question 12 of 22
Select the action you would use to solve = 16. Then select the property that
justifies that action.
A. Property: Multiplication property of equality.
B. Action: Add 4 to both sides.
C. Property: Addition property of equality.
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
OF Action: Multiply both sides by 4.
Answers
Answer:
The correct answer is:
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
At the neighborhood block party, Joel served 1/6 of a gallon of hot chocolate and 1/12 of a
gallon of apple cider. How much more hot chocolate than apple cider did Joel serve?
Write your answer as a fraction or as a whole or mixed number.
gallons
Answers
Answer:
1/12 gallons
Step-by-step explanation:
We can determine how much more hot chocolate than apple cider die Joe serve by subtracting 1/12 from 1/6.
Step 1: Since 1/12 has the bigger denominator and 6 * 2 = 12, let's give 1/6 the same denominator as 1/12 by multiplying the entire fraction by 2/2
(1/6) * (2/2) = 2/12
Step 2: Now we can subtract 1/12 from 2/12:
2/12 - 1/12 = 1/12
Thus, Joel served 1/12 more gallons of hot chocolate than apple cider.
Please answer this correctly without making mistakes
Answers
Answer:
$7.28 per quart
Step-by-step explanation:
16 pints equals 8 quarts so divide total $ by 8
Helllllpppppppppppppp
Answers
Answer: point
Step-by-step explanation:
Dos puntos pueden determinar un segmento?
Answers
Answer:
Si se puede
Step-by-step explanation:
follow the steps to find the area of the shaded region
Answers
Step 1:
From the figure
\(\begin{gathered} x\text{ + 129 = 180 \lparen sum of angles on a straight line\rparen} \\ \\ x\text{ = 180 - 129} \\ \\ x\text{ = 51} \end{gathered}\)Step 2
\(\begin{gathered} sin\text{ x = }\frac{Opposite}{Hypotenuse} \\ sin51\text{ = }\frac{h}{8} \\ \\ 0.777\text{ = }\frac{h}{8} \\ h\text{ = 8 }\times\text{ 0.777} \\ \\ h\text{ = 6.22cm} \end{gathered}\)Step 3
\(\begin{gathered} Area\text{ of a triangle = }\frac{1}{2}\text{ }\times\text{ base }\times\text{ h} \\ \\ =\text{ }\frac{1}{2}\text{ }\times\text{ 6.22 }\times8 \\ \\ Area\text{ of a triangle = 24.9 cm}^2 \end{gathered}\)Step 4
\(\begin{gathered} Area\text{ of a sector = }\frac{\theta}{360}\text{ }\times\pi r^2 \\ \\ =\text{ }\frac{129}{360}\text{ }\times\text{ }\frac{22}{7}\text{ }\times\text{ 8}^2 \\ \\ =\text{ 72.08 cm}^2 \end{gathered}\)Area of the shaded part = 72.08 - 24.9 = 47.18
Final answer
\(\begin{gathered} Angle\text{ x = \lbrack51\rbrack} \\ \\ Area\text{ of the shaded part = 47.2 cm}^2 \end{gathered}\)Lines that appear to be tangent are tangent. O is the center of each circle.
What is the value of x? Show all work to receive full credit.
Answers
Note that in the prompt above, the value of x is given as: 16°
To answer the issue, we will first name all of the points supplied to us on the isosceles triangle, then identify O, and last discover the value of x. See the attached image.
What is an isosceles triangle?As a result, an isosceles triangle has two equal sides and two equal angles. The term is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.
In ΔAOB
OA = OB = R, the radius of the circle O,
therefore, the ΔAOB is an isosceles triangle, with OA, OB as the congruent sides and AB as the base of the triangle.
Thus, ∠OAB = ∠OBA = 53°
Sum of all the angles of a triangle = 180°
∠O + ∠AOB + ∠OBA = 180°
We know ∠AOB = ∠OBA, therefore,
∠O + 2(∠AOB) = 180°
∠O + 2(53°) = 180°
∠O = 180 - 106
∠O = 74°
In ΔOBC,
BC is the tangent to the circle O, therefore,
∠OBC = 90°
Sum of all the angles of a triangle = 180°
∠O + ∠OBC + ∠OCB = 180°
74° + 90° + ∠OCB = 180°
∠OCB = 180° - 74° - 90°
∠OCB = 16°
Hence, the value of x is 16°.
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Find the least common denominator (LCD) 8/9 and 4/5
Answers
Answer:
45
Step-by-step explanation:
First we write the first 10 multiples of 9 (the first denominator) :
9,18,27,36,45,54,63,72,81,90
Now we write the first 10 multiples of 5 (the second denominator) :
5,10,15,20,25,30,35,40,45,50
As we can see 45 is the lowest number that appears in both list.
Therefore 45 is the LCD of 8/9 and 4/5
Answer:
45
Step-by-step explanation:
So since we are finding the LCD, we only look at the denominators, 9 and 5.
We can count until we find the denominator:
\(9,18,27,36,45\\5,10,15,20,25,30,35,40,45\)
So the LCD would be 45.
Find the value of y.
Answers
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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Anne is 26 years older than her daughter, and the sum of their ages is at least 48. Which of the following inequalities, when solved, will give the possible ages of Anne's daughter?
Answers
Answer:
A = 26 + D
A + D = 48
use substitution
(26 + D) + D = 48
26 + 2D = 48
2D = 22
D = 11 years old
find the inequality that will result in the daughter being 11
Answer:
at least means greater than or equal to
Step-by-step explanation:
therefore
Question 13 options:
2x + 26 ≥ 48 ----------->this is the correct answer
x + 26 > 48
x + 26 ≥ 48
2x + 26 > 48
Kathryn invests $8,327 in a savings account with a
fixed annual interest rate compounded continuously. After
10 years, the balance reaches $18,532.08. What is the
interest rate of the account?
Answers
Answer:
Below
Step-by-step explanation:
The equation to use for CONTINUOUS compounding is :
FV = PV e^(it)
18532.08 = 8327 * e^( i*10) where i is the interest in decimal form
18532.08/8327 = e^(10i)
2.225541 = e^(10i) now take natural log (ln) of both sides to get
.8000 = 10i
i = .08 or 8% interest
Sphenathi stated that the distance from Bloemfontein to upington is 16.3 show all calculations whether his claim is correct
Answers
The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.
To determine the distance between Bloemfontein and Upington, we used the Haversine formula, which computes the shortest distance between two points on the surface of a sphere. We first begin by finding the latitude and longitude of the two cities.Bloemfontein is located at -29.1211° latitude and 26.2140° longitude.Upington is located at -28.4478° latitude and 21.2561° longitude.Using the Haversine formula, we can determine that the distance between the two cities is about 582 kilometers.Sphenathi's statement that the distance from Bloemfontein to Upington is 16.3 kilometers is incorrect. Perhaps they mistakenly calculated the distance between two points within the cities. They could also have made a typographical mistake while writing their statement. Therefore, the statement is false, and the actual distance between Bloemfontein and Upington is 582 kilometers.For such more question on longitude
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In an election, Ms. Duval got 534 votes, Mr. Smith got 507, and Mr. Fennig got 88. What percent of the vote did the winner get?
Answers
534/1,129=0.4729
The winner got 47.3% or 47%
Dont guess please! ~-~
Answers
Answer: \(253\frac{1}{2}\) square inches
Step-by-step explanation:
To calculate the surface area of a cube, you can use the equation: \(SA=6a^2\)
So, the answer is \(253\frac{1}{2}\).
Hope this helped! ;)
okay so for the 3 and for its 3 to the 4th power btw
3^4+ 2 ⋅ 5 = ____. (Input whole numbers only.)
Answers
Answer:
91
Step-by-step explanation:
3^4 +2 * 5
Using PEMDAS, first we will calculate the exponent.
3^4 = 81
81 +2 *5
Using PEMDAS again, now we will multiply.
2*5 = 10
81+10
=91
) Your 2 year investment of $5,300 earns 2.9% and is compounded annually. What will
your total return be?
Answers
The total amount of return will be 5611.8573. The principal amount is compounded annually.
What is compound interest?Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.
The given data;
P(PRINCIPAL)=5300
r(rate)=2.9%
n=1
t(time)=2
The total amount of return is found as;
\(\rm A= 5300 (1+\frac{29}{100} )^2 \\\\ A=5611.8573\)
Hence,the total amount of return will be 5611.8573.
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Jeremiah jumped forward 4 times. Each time his jump measured 24.4 cm. What is the total length of his four jumps? Write your answer using numbers only.
Answers
Answer:
97.6
Step-by-step explanation:
you multiply 24.4 and 4 to get your answer
You would like to have $20,000 to use a down payment for a home in five years by making regular, end-of-month deposits into an annuity that pays 6% interest compounded monthly.
How much should you deposit each month?
Round your answer to the nearest cent. Do not include the dollar sign in the answer box below.
Answers
The calculation of this can be done by first determining the future value of the monthly payments of $327.50
The future value of an annuity can be determined using a financial calculator, mathematical formula, or spreadsheet software. The future value of an annuity is calculated by multiplying the periodic payment amount by the future value factor,
which is based on the number of payments and the interest rate.For example, suppose we want to know the future value of a $500 end-of-month deposit into an annuity that pays 6% interest compounded monthly for five years.
The future value factor for 60 periods at 0.5 percent per month is 80.9747, which can be multiplied by the monthly deposit amount to find the future value of the annuity.500 × 80.9747 = 40,487.35
This means that a $500 end-of-month deposit into an annuity paying 6% interest compounded monthly for five years will have a future value of $40,487.35.
Therefore, to accumulate a $20,000 down payment for a home in five years, you would need to deposit $327.50 per month into the annuity.
for 60 months using the formula and then solving for the monthly payment amount where FV = $20,000 and n = 60, r = 0.5%.FV = PMT [(1 + r)n – 1] / r$20,000 = PMT [(1 + 0.005)60 – 1] / 0.005PMT = $327.50 (rounded to the nearest cent).
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how can you use angle relationship to find unknown measure in a figure?
Answers
Answer:
Steps to Solving for Unknown Angles.
Identify the angle relationship(s).
Set up an equation that will yield the unknown value.
Solve the equation for the unknown value.
Substitute the answer to determine the angle(s).
Check and verify your answer by measuring the angle with a protractor.
Step-by-step explanation:
The steps for unknown angle is described below.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
To find unknown measure,
First of all determine the figure,
Then recognize the given angles.
Then assume the a variable for unknown angle
Since the sum of all interior angle is equal to the total angle.
then sum up all the angles and equate it to the total angle.
then we get the unknown angles.
For example,
if two angles of a triangle is of 60 degree then we have to find third angle,
then we know that sum of all interior angle = 180degree.
thus,
60+60+ unknown angle = 180
hence unknown angle = 60 degree.
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Help
See the picture
I’m Giving brainlest
Answers
Answer:
y=-x+2
Step-by-step explanation:
its asking y=mx+b
m slope (rise/run) --> rises up 2 for every time it moves over -2 times
so slope is -1
b= y intercept = 2
Answer:
y=-x+2
Step-by-step explanation:
its asking y=mx+b
m slope (rise/run) --> rises up 2 for every time it moves over -2 times
so slope is -1
b= y intercept = 2
Step-by-step explanation:
Graph the linear equation.
Y = x/3 - 4
Need help!!!!
Answers
Answer:
slope -1/3 y-intercept (0,4)
Step-by-step explanation:
Answer:
See attached image for the graph
Step-by-step explanation:
Start by finding at least two points on the plane that satisfy the equation, and join them with a line.
Pick good values for "x" that will make the evaluation easy (for example the number "0" and also multiples of "3":
when x = 0 then y = 0/3 - 4 = -4 then the point is (0, -4)
when x = 3 then y = 3/3 -4 = 1 - 4 = -3 then this new point is (3, -3)
when x = 6 then y = 6/3 - 4 = 2 - 4 = -2 then a third point is (6, -2)
We plot these points on the plane, and join them with a line, s shown in the attached image.
Write a fraction that is equivalent to 3/5 that has a denominator of 20.
5
15
20
20
12
12
20
3
20
Answers
Answer:
12/20
Step-by-step explanation:
\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)
The answer is:
12/20In-depth-explanation:
The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.
We need to multiply both the numerator and the denominator by 4, so we do this:
\(\sf{\dfrac{3\times4}{5\times4}}\)
\(\sf{\dfrac{12}{20}}\)
Hence, the answer is 12/20.