Answers
1/2 bag: peanuts
1/4 bag: choc candies
1/4 bag: dried fruit
Form the above, you can conclude:
Choc candy and dried fruit have the same likelihood of being drawn.
Choc candy and dried fruit have less likelihood of being drawn than peanuts.
A. False
B. False
C. False
D. True
Answer for problem 1. is choice D.
Problem 2.
Answer for problem 2. is A.
Related Questions
setsuko has a rectangular piece of farbric that is 5/6 yard wide. The area of the fabric is 5/16 square yard. How long is setsuko's fabric
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Which pairs of rectangles are similar polygons? Select Similar or Not Similar for each pair of rectangles.
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108/72 = 1.5
132/80= 1.65
I would say A and B are similar, not C
Step-by-step explanation: We are given three rectangular figures A, B and C.
We need to determine which polygons are similar and which are not.
Note: The sides of similar figures are in proportion.
Let us check first A and B figures.
150/108 = 50/36
100/72 = 50/ 36.
We can see 150/108 = 100/72 = 50/ 36.
Sides are in proportion of Polygons A and B.
So, the Polygons A and B are Similar.Let us check first A and C figures.
150/132 = 25/22
100/80 = 5/4.
We can see 150/132 ≠ 100/80.
Sides are not in proportion of Polygons A and C.
So, the Polygons A and C are Not Similar.Let us check first B and C figures.
108/132 = 9/11.
72/80 = 9/10.
We can see 108/132 ≠ 72/80.
Sides are not in proportion of Polygons B and C.
So, the Polygons B and C are Not Similar.Rewrite the exponential function y = 12 (0.56)^(t/4).
Round your answer to two decimal places.
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y = 12 (0.56)^(t/4)
y=12(0.56^(1/4))^t
but
0.56^(1/4)=0.8651
thus plugging the value in y we get:
y=12(0.8651)^t
in two decimal places we get:
y=12(0.87)^t
The exponential function will be written as:
y = 12 (0.56) ^ (t/4)
y=12 (0.56^ (1/4)) ^t
but
0.56^ (1/4) = 0.8651
thus plugging the value in y we get:
y=12 (0.8651) ^t
in two decimal places we get:
y=12 (0.87) ^t
Ed bought 3 liters of water 2750 milliliters of sports drink and 2.25 liters of juice.Which statement is true.
A.Ed bought 50 milliliters more sports drink than juice. B.ed bought 1.25 liters more water than juice.C.ed bought 75 milliliters more water than juice.D.ed bought 250 milliliters more water than sports drink
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1 liter = 1,000ml
In The Figure Below, Find X.
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I attached a picture of how i worked this out.
The highlighted lines in blue are alternate angles therefore will be the same
____________________________________________
Note: "x + 32 = 123 " ;
{since: 1) the "123° angle" shown in the diagram ; AND:
2) the angle formed by the 2 (two) angles:
" ∠x" and the "32° angles (shown in the diagram) } ;
____________________________________________________
→ are "altenrate interior angles";
and "alternate interior angles" are congruent.
____________________________________________________
So, x = 123 - 32 = 91 .
____________________________________________________
The answer is: " x = 91 " .
____________________________________________________
How many coins measured less than 3/4 inch in diameter?
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Solve: q to the second power =36
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The equation q^2=36 has two solutions because both a positive and a negative number squared can result in a positive number. The solutions are q=6 and q=-6, illustrating the concept of integer powers and square roots.
Explanation:To solve the equation q squared equals 36 (q2 = 36), we look for the number that, when multiplied by itself, gives the product of 36. In mathematics, finding a value that satisfies this condition involves taking the square root of both sides of the equation. Thus, we have two potential solutions since both positive and negative values can be squared to yield a positive result.
The square root of 36 is 6, so our equation gives us two possible solutions: q = 6 or q = -6. This demonstrates the concept of integer powers, where for instance, raising 4 to the power of 3 (43) means multiplying 4 by itself three times. When dealing with the square root, we are essentially doing the opposite: we are asking what number multiplied by itself gives us the original number under the square power.
Three tables are placed side by side by side. One table is 3 feet 11 inches wide, another is 6 feet 10 inches wide, and the third is 3 feet 7 inches wide. How wide are they combined?
Answers
To find the combined width of the three tables, add up their individual widths.
Explanation:To find the combined width of the three tables, we need to add up their individual widths.
The first table is 3 feet 11 inches wide, which is equivalent to 3 feet 11 inches + 0 feet 11 inches = 3 feet 22 inches.
The second table is 6 feet 10 inches wide, which is equivalent to 6 feet 10 inches + 0 feet 10 inches = 6 feet 20 inches.
The third table is 3 feet 7 inches wide, which is equivalent to 3 feet 7 inches + 0 feet 7 inches = 3 feet 14 inches.
Adding up the widths: 3 feet 22 inches + 6 feet 20 inches + 3 feet 14 inches = 12 feet 56 inches.
Therefore, the combined width of the three tables is 12 feet 56 inches.
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Find the range 3, -97,-15,-42
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The range of the numbers 3, -97, -15, -42 is 100.
Explanation:The range of a set of numbers is the difference between the largest and smallest numbers in the set. To find the range of the numbers 3, -97, -15, -42, we first need to find the largest and smallest numbers. The largest number is 3 and the smallest number is -97. Subtracting the smallest number from the largest number gives us a range of 100.
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If the probability of winning a carnival game was 2/5 and Max played it five times, write an expression that would calculate the probability he won the first three games and lost the last two
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Prob(losing carnival game) = 3/5
Prob (Max wins first 3 games, but loses last 2 games)
= Prob(Max wins game 1) * Prob(Max wins game 2) * Prob(Max wins game 3) * Prob(Max loses game 4) * Prob(Max loses game 5)
The probability of Max winning the first three games while losing the rest two is 0.023.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As it is given that the probability of winning the game is 2/5. Since the sum of all the probability of an event is 1, therefore, the probability of losing the game can be written as,
Sum of all probability = Probability of winning + Probability of losing
[tex]1 = \dfrac25+\text{(Probability of losing)}\\\\\text{(Probability of losing)}=\dfrac35[/tex]
Thus, the probability of losing the game is 3/5.
As we need to calculate the probability of Max winning the first three games while he losing the rest two. Therefore,
[tex]P = \dfrac25 \times \dfrac25 \times \dfrac25 \times \dfrac35 \times \dfrac35 = \dfrac{72}{3125} = 0.023[/tex]
Hence, the probability of Max winning the first three games while losing the rest two is 0.023.
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Which of these is a trinomial?
A.2x^3 – 7y^3
B.2x – 7
C.5xy
D.x + 2y^2 – 7
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Option D, which is x + 2y^2 - 7, is a trinomial as it contains exactly three terms.
Explanation:A trinomial is an algebraic expression with three terms.
These terms are usually separated by '+' or '-' signs. Let's examine the options given to identify a trinomial:
A. 2x^3 - 7y^3 has two terms and is a binomial.B. 2x - 7 has two terms and is a binomial.C. 5xy has only one term and is a monomial.D. x + 2y^2 - 7 has three terms and is a trinomial.Therefore, Option D is the correct answer as it is the expression that contains exactly three terms, making it a trinomial.
A repairman leans the top of an 8 ft ladder against the top of a stone wall the base of the ladder is 5.5 ft from the wall about how tall is the wall round to the nearest tenth of a foot
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The height of the wall if A repairman leans the top of an 8 ft ladder against the top of a stone wall, the base of the ladder is 5.5 ft from the wall, is 5.81 feet.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine, cosine, and tangents are their names and acronyms (tan).
Given:
A repairman leans the top of an 8 ft ladder against the top of a stone wall, the base of the ladder is 5.5 ft from the wall,
Calculate the height of the wall as shown below,
Assume the height of the wall is x then,
x² + base² = ladder height²
x² + 5.5² = 8²
x² = 64 - 30.25
x² = 33.75
x = √33.75
x = 5.81 ft
Thus, the height of the wall is 5.81 feet.
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Car A gets 25 miles per gallon and costs $13,000. Car B is a hybrid that gets 45 miles per gallon, but costs $25,000. Assume you drive 15,000 miles per year and that gas will cost $4 per gallon for the foreseeable future. How many years will it take for Car B's better fuel economy to outweigh its higher initial cost?
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The cost of fuel consumed in n years by car B is
[tex]=n\times \frac{15000\:miles}{year}\times \frac{1\:gallon}{45\:miles}\times \frac{4\:dollars}{gallon}[/tex]
Equate the initial cost to the cost of fuel
[tex]25000=n\times \frac{15000\:miles}{year}\times \frac{1\:gallon}{45\:miles}\times \frac{4\:dollars}{gallon}[/tex]
[tex]25000=\frac{4000n}{3}[/tex]
[tex]n=\frac{25000\left(3\right)}{4000}[/tex]
[tex]n=18.75[/tex]
It will take 18.75 years for Car B's better fuel economy to outweigh its higher initial cost.
Answer: The answer is B) 11.25
Step-by-step explanation: I got it right
Brand is combining the leftovers from two batches of chili to serve for dinner tonight. There are 1 1/3 cups of chili left over from the first batch of chili, and there are 3 3/4 total cups of chili left over.
1 1/3 + x = 3 3/4
How many cups of chili were left over from the second batch of chili?
A. 2 5/12
B. 5 1/12
C. 4 1/2
D. 1 5/12
Answers
Brand had 2 5/12 cups of chili left over from the second batch (option A). This was determined by solving the equation 1 1/3 + x = 3 3/4 using improper fractions and subtraction.
To find out how many cups of chili were left over from the second batch, we need to solve for x in the equation 1 1/3 + x = 3 3/4. Firstly, convert the mixed numbers to improper fractions: 1 1/3 becomes 4/3 and 3 3/4 becomes 15/4.
Now the equation looks like this: 4/3 + x = 15/4. To find x, subtract 4/3 from both sides of the equation.
15/4 - 4/3 = (15*3 - 4*4)/(4*3) = 45/12 - 16/12 = 29/12.
Now convert the improper fraction back to a mixed number. 29/12 is 2 and 5/12. So Brand had 2 5/12 cups of chili left over from the second batch (option A).
find the measure of the arc or angle indicated. or find the value of x
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draw a rectangle that has a perimeter of 12 units and an area of 8 square units
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The dimensions are either 4 units by 2 units or 2 units by 4 units.
To draw a rectangle with a perimeter of 12 units and an area of 8 square units, we need to find the dimensions of the rectangle first.
Let l be the length of the rectangle and w be the width of the rectangle.
We know that the perimeter of a rectangle is given by: P = 2(l + w) =12
12 = 2(l + w) ,6 = l + w
Also, the area of a rectangle is given by: A = l * w = 8
Now, we need to find a pair of numbers l and w that satisfy both equations: 6 = l + w and 8 = l * w
One such pair is l = 4 and w = 2 , because ( 4 + 2 = 6 ) and ( 4 * 2 = 8 ).
This rectangle has a length of 4 units and a width of 2 units, with a perimeter of 12 units and an area of 8 square units.
Rajeev has \$175$175dollar sign, 175 that he earned from his summer job. He puts the money in an account that yields 4\%4%4, percent interest compounded annually. Assume that Rajeev does not make any other deposits or withdrawals from his account. After how many years from the time he deposited the money will Rajeev have at least \$200$200dollar sign, 200 in his account?
Answers
It will take 4 yrs for Rajeev to reach 200$
To find out after how many years Rajeev will have at least $200 in his account, we can use the formula for compound interest. P = $175, A = $200, r = 0.04, n = 1, and t = ? Substituting these values into the formula and solving for t, we find that it will take approximately 7.38 years for Rajeev to have at least $200 in his account.
Explanation:To find out after how many years Rajeev will have at least $200 in his account, we can use the formula for compound interest, which is given by:
A = P(1 + r/n)^(nt)
Where:
A is the final amount in the accountP is the initial amount depositedr is the interest rate (expressed as a decimal)n is the number of times interest is compounded per yeart is the number of yearsIn this case, we have:
P = $175A = $200r = 0.04n = 1 (compounded annually)t = ?Substituting these values into the formula, we get:
$200 = $175(1 + 0.04/1)^(1t)
Simplifying the equation, we have:
1.1429 = (1.04)^t
To solve for t, we can take the logarithm of both sides:
log(1.1429) = log((1.04)^t)
Using logarithmic properties, we have:
t log(1.04) = log(1.1429)
Dividing both sides by log(1.04), we get:
t = log(1.1429)/log(1.04)
Using a calculator, we find that t ≈ 7.38
Therefore, it will take approximately 7.38 years for Rajeev to have at least $200 in his account.
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A meter stick casts a shadow 2.4 m long at the same time a flagpole casts a shadow 9.7 m long. How tall is the flagpole
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We an draw tow similar triangle between the length of the shadows and the height of the stick and the pole.
Since meter stick has a length of 1 meter, the height of our smaller triangle is 1 meter. Let [tex]h[/tex] be height of of the pole. Since both triangles are similiar we can establish a proportion between their corresponding sides and solve for [tex]h[/tex]:
[tex] \frac{h}{1} = \frac{9.7}{2.4} [/tex]
[tex]h=\frac{9.7}{2.4}[/tex]
[tex]h=4.04[/tex]
We can conclude that the pole is 4.04 meters tall.
Without graphing estimate the x-intercepts of the graph of f(x)=7x^2+9x+1 to the nearest tenth.
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We will use the quadratic formula to find these:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} \\ \\=\frac{-9\pm \sqrt{9^2-4(7)(1)}}{2(7)}=\frac{-9\pm \sqrt{81-28}}{14} \\ \\=\frac{-9\pm \sqrt{53}}{14}=\frac{-9+\sqrt{53}}{14}\text{ or } \frac{-9-\sqrt{53}}{14} \\ \\=-0.1\text{ or }-1.2[/tex]
How would you find the area of this shape? ( rectangle and congruent triangle )
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A cereal box is a rectangular prism that is 8 inches long and 2 1/2 inches wide. The volume of the box is 200 in^3. What is the height of the box
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the perimeter of the rectangle is 42 units. what are the dimensions?
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−4x−7+10x=−7+6x how many solutions
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Step-by-step explanation:
[tex]-4x-7+10x=-7+6x\\\\(-4x+10x)-7=-7+6x\\\\6x-7=-7+6x\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\-7=-7\qquad\bold{TRUE}\\\\Answer:\ \text{Infinitely many solutions}[/tex]
Final answer:
By simplifying the given linear equation and combining like terms, we find that the single solution is x = 0. Verification confirms that this solution is valid as it satisfies the original equation.
Explanation:
The equation presented by the student is a linear equation with the variables on both sides. To solve this equation, we will combine like terms and isolate the variable x on one side of the equation.
First, let's simplify the equation by combining like terms:
-4x - 7 + 10x = -7 + 6x
Combine x terms on the left side and numerical terms on the right:
6x = 0
Finally, divide by the coefficient of x to solve for x:
x = 0
This value of x is the single solution to the equation. It's important to note that there are no other solutions in this case, as it's a simple linear equation and not a quadratic or higher-order polynomial equation.
Verification
To verify that x = 0 is indeed a solution, we can substitute it back into the original equation:
-4(0) - 7 + 10(0) = -7 + 6(0)
All terms involving x drop out, confirming that -7 = -7 is an identity, making x = 0 a valid solution.
ABC airlines has had delays on 18 of 126 recent flights . DEF airlines has had delays 13% of the time . Which airline would you expect to provide more reliable service? Why ?
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Max's family gives the cashier $20 to pay for 6 water bottles. The casheir gives him $8 in change. Hiw much does each water bottle cost
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What is the x-coordinate of the solution to the system of equations?
3x – 2y = –30
6x + 3y = 3
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Given that the measurement is in centimeters, find the area of the circle to the nearest tenth.(Use 3.14 for n) Radius is 3
A) 18.9 cm2
B) 28.3 cm2
C) 37.7 cm2
D) 88.7 cm2
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The answer is a)18.9 cm2
How I got my answer:
circumference=2*π *r
circumference=2*3.14*3
=18.84cm2=rounded to the nearest tenth=18.8cm2
The closest answer is 18.9cm2
Hope this helps you.
Answer:
The area of the circle is equal 28.3 cm² to the nearest tenth.
Step-by-step explanation:
To find the area of the circle that has a radius of 3, we will simply use the formula;
Area of a cirle = π r²
where π is a constand and r is the radius.
From the question given π = 3.14 and r=3
We can now proceed to insert the value into the formula;
Area of a cirle = π r²
=3.14×3²
=3.14×9
=28.26
≈28.3 cm²
Therefore, the area of the circle is equal 28.3 cm² to the nearest tenth.
2. In the figure, what is measurement of angle C?
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what is £747 by 2:7 in a ratio
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747 : 9 = 83
2 · 83 = 166
7 · 83 = 581
Answer: £166 and £581
ehat is the value of y=3x2-18x+15
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The value of the equation y = 3x^2 - 18x + 15 can be found by substituting different values of x and calculating the corresponding value of y.
Explanation:The value of the equation y = 3x^2 - 18x + 15 can be found by substituting different values of x and calculating the corresponding value of y. For example, if we substitute x = 1, we get y = 3(1)^2 - 18(1) + 15 = 0. So, when x = 1, y is 0.
To find more values, we can create a table of values by substituting different x values into the equation. The resulting values of y can be plotted on a graph to see the pattern and shape of the equation.
Table of Values:
x = 0, y = 15x = 1, y = 0x = 2, y = 9x = 3, y = 18This equation represents a quadratic function in the form of y = ax^2 + bx + c, where a = 3, b = -18, and c = 15.
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