Answer:
Step-by-step explanation:
You have four balls
A draw of blue, green or yellow (3 balls) means success for NOT drawing a red ball
You have a 3 in 4 chance of not drawing a red ball on the first draw.
With replacement, the 3 in 4 chance occurs on every draw
the odds multiply together for each draw.
Chance of not drawing a red ball in 40 tries is (3/4)⁴⁰
or about 1 in 10⁻⁵ or 0.00001
In the CAMPA library, there are 42 math books, 35 science books, and 28history books.What is the ratio of history to math to science books in the library?If the library added one science book and 2 math books, what would thenew ratio be?
The ratio of history to math is given by
\(\frac{28}{42}\)which is equal to
\(\frac{28}{42}=\frac{14}{21}=\frac{2}{3}\)Then, the answer for the history to math is 2:3 or, in fraction form is
\(\frac{2}{3}\)On the other hand the ratio history to science is 28:35, which in fraction form is written as
\(\frac{28}{35}=\frac{4}{5}\)Similarly, the ratio math to science is 42:35, which in fraction form is
\(\frac{42}{35}=\frac{6}{5}\)Now, if we add 1 science book and 2 math book, we have 36 science books and 37 math books, then the ratio history to math is 28:37, which in fraction form is written as
\(\frac{28}{37}\)and the ratio history to science is 28:36. which in fraction form is written as
\(\frac{28}{36}=\frac{7}{9}\)and the ratio math to science is 37:36, which in fraction form is written as
\(\frac{37}{36}\)What is a perfect square 6^1
A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.
However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answer:
224
Step-by-step explanation:
360.-136.
1. If two polygons are SIMILAR, then the corresponding angles must be _____.
2. If two polygons are SIMILAR, then the corresponding sides must be _____.
3. The composition of two (or more) isometries is always ______
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
5. A right triangle has a base of 5 ft and a height of 12 ft. A similar triangle has an area of 270 square feet. What are the dimensions of a similar triangle?
Answer:
1. If two polygons are SIMILAR, then the corresponding angles must be are congruent and corresponding sides are proportional
2.If two polygons are SIMILAR, then the corresponding sides must be proportional
3.The composition of two (or more) isometries is always an isometry
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
3
Step-by-step explanation:
two polygons are similar if corresponding angles are congruent and corresponding sides are proportional
If two polygons are SIMILAR, then the corresponding sides must be proportional
The composition of two (or more) isometries is always an isometry
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
9/1 = 1/3 so 9/3 = 3
Find the Measure of each angle.
Answer:
x = 10
Step-by-step explanation:
to find the measure of angles we first need to find the value of x
The sum of interior angles in a triangle is equal to 180
9x + 7x + 2x = 180 add like terms
18x = 180 divide both sides by 18
x = 10 to find angle measures replace x with 10 in each representative like:
m<L = 9x and 9*10 = 90 and so on
The value of x for the function f(x) = 100+ 0.3x is 210, when
f(x) = 121. True Or False
Answer:
false
Step-by-step explanation:
the answer is x=70
a)
b)
1. Convert the following Mayan numbers to
decimal (base 10).
: :|| :||
The given Mayan number which is : :|| :|| in decimal (base 10) is 42.
The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).
To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.
The Mayan number given, : :|| :||, can be broken down as follows:
The leftmost position has no symbol, which represents a value of 0.
The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.
The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.
The given Mayan number in decimal (base 10) is 40 + 2 = 42.
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Complete question is:
Convert the following Mayan number to decimal (base 10).
: :|| :||
The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?
Answer:
8inches
Step-by-step explanation:
Length of the third side = perimeter - ( side1 + side2 )
= 17 - (5+4)
= 17 - 9
= 8 inches
35,892 rounded nearest hundred
Answer:
35,900
Step-by-step explanation:
92 is higher than 50
f(x) = 2x^2 and g(x) = 3x+4 find: (g o f) (5)
Recall the definition of the composition between two functions:
\((g\circ f)(x)=g(f(x))\)Then, to find (g o f) (5), evaluate g at f(5).
\(\begin{gathered} f(x)=2x^2 \\ \Rightarrow f(5)=2(5)^2=2\cdot25=50 \end{gathered}\)\(\begin{gathered} g(x)=3x+4 \\ \Rightarrow g(50)=3(50)+4=150+4=154 \end{gathered}\)Therefore:
\((g\circ f)(5)=g(f(5))=g(50)=154\)Then, the value of (g o f) evaluated at 5 is 154.
2/9 and 1/4 to have a common denominator
Answer:
8/36, 9/36
Step-by-step explanation:
Denominators 9 and 4 have no common factors, so their least common multiple is their product: 36. Using a denominator of 36, the fractions can be written ...
\(\dfrac{2}{9}=\dfrac{2}{9}\cdot\dfrac{4}{4}=\boxed{\dfrac{8}{36}}\\\\\dfrac{1}{4}=\dfrac{1}{4}\cdot\dfrac{9}{9}=\boxed{\dfrac{9}{36}}\)
Which of the following functions has an initial value of 4 and a rate of change of -2?
Answer:
the. First oneFiFiraone
Step-by-step explanation:
the first one
Which of the following triangles are possible to draw? halppppp for 25 points
A triangle with angle measures of 100°, 40°, and 45°.
A triangle with angle measures of 55°, 35°, and 80°.
A triangle with angle measures of 30°, 60°, and 90°.
A triangle with angle measures of 25°, 65°, and 90°.
A triangle with angle measures of 20°, 50°, and 105°.
Evaluate 48 + 24 ÷ 8 − 22
Answer:
I solved it and my answer is 29
Write the sentence as an equation.
106 more than the quantity 68 times y is the same as 36 decreased by y
Answer: 68y+106=36-y
Wyatt solved the following equation:
x + one over two (6x − 4) = 6
Step Work Justification
1 2x + 6x − 4 = 12
2 8x − 4 = 12
3 8x = 16
4 x = 2
Which of the following has all of the correct justifications Wyatt used to solve this equation?
1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
1. Distributive property 2. Combine like terms 3. Subtraction property of equality 4. Division property of equality
1. Multiplication property of equality 2. Combine like terms 3. Subtraction property of equality 4. Division property of equality
1. Multiplication property of equality 2. Combine like terms 3. Addition property of equality 4. Division property of equality
The option that has the correction justifications is the fourth option --- 1. Multiplication property of equality 2. Combine like terms 3. Addition property of equality 4. Division property of equality
Solving linear equationsFrom the question, we are to determine which of the given options has the correct justifications
To do this, we will solve the equation as well
The given equation is
x + 1/2(6x - 4) = 6
Multiply through by 2
2×x + 2×1/2(6x - 4) = 2×6
2x + (6x - 4) = 12
2x + 6x - 4 = 12
Combine like terms
8x - 4 = 12
Add 4 to both sides of the equation
8x - 4 + 4 = 12 + 4
8x = 16
Divide both sides of the equation by 8
8x/8 = 16/8
x = 2
From above, we can observe that the justifications used are
Multiplication property of equality
Combine like terms
Addition property of equality
Division property of equality
Hence, the option that has the correction justifications is the fourth option --- 1. Multiplication property of equality 2. Combine like terms 3. Addition property of equality 4. Division property of equality
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Answer:
1. Multiplication property of equality
2. Combine like terms
3. Addition property of equality
4. Division property of equality
Step-by-step explanation:
Given equation:
\(x+\dfrac{1}{2} (6x-4) = 6\)
Wyatt's Step Work:
\(\textsf{1.} \quad 2x + 6x-4 = 12\)
\(\textsf{2.} \quad 8x-4 = 12\)
\(\textsf{3.} \quad 8x = 16\)
\(\textsf{4.} \quad x = 2\)
Step 1
Wyatt multiplied both sides of the equation by 2.
Multiplication property of equality: When both sides of an equation are multiplied by the same number, the two sides remain equal.
Step 2
Wyatt added the terms with the variable x.
Combine like terms: When one term is made by adding/subtracting the coefficients and keeping the variables the same.
Step 3
Wyatt added 4 to both sides of the equation.
Addition property of equality: When the same number is added to both sides of an equation, the two sides remain equal.
Step 4
Wyatt divided both sides of the equation by 8.
Division property of equality: When both sides of an equation are divided by the same number, the two sides remain equal.
Which function has the graph shown?
OAY COS
B. y -cos.x
● C. yin x
D. y sin (x)
f
The trigonometric function on the graph is:
f(x)= -cos(x)
So the correct option is B.
Which function is the graphed one?Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.
Notice that:
sin(0)= 0
cos(0) = 1
So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:
f(x) = -cos(x)
That is the graphed function.
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Which expression is equivalent to −14x+12?
−14(x+2)
14(−x+12)
14(−x+2)
−14(−x+12)
Step-by-step explanation:
\( = - 14x + 12\)
\( = - 2 \times 7x + ( - 2) \times 6\)
\( = - 2(7x - 6)\)
No Option Solution.
Reduce 45/36 fraction into the
lowest terms.
Answer:
\( \frac{5}{4} \)
Hello there! :)
45/36
Let's look for common factors:
45 is divisible by 3, 9 (I list the common factors here)
36 is divisible by 3, 9
Now, the greatest common factor (9) is the one we will use.
Divide 45 by 9:
5
36 by 9:
4
So the answer is 5/4.
Hope this helps!
~Just a determined gal
#CarryOnLearning
\(MysteriousNature\)
If x = 7 units and h = 4 units, then what is the area of the triangle shown above?
A.
28 square units
B.
42 square units
C.
14 square units
D.
8 square units
Here's link to the answer:
tinyurl.com/wpazsebu
Part A: Valerie is remodeling her home. She decides to replace the old carpet in the living room and wants to know how much carpet she needs. You can see from the diagram of the living room that this is not a simple shape. Complete the steps below to find the area of the room, which is the amount of carpet Valerie needs for her project.
Part A
Help Valerie decompose the shape into the fewest simple shapes. Which shapes can
you divide the figure into? How many of each shape do you get?
Part B: In how many different ways can you divide the shape to get the same number and type of shapes you obtained in part A?
Answer:
She can decompose it into two rectangles or a triangle
Step-by-step explanation:
I just did this on EDMENTUM its right!
Which is the better deal?(Proportional Reasoning)
Deal A: % gallons of gas for %15.70 or Deal B. 11 gallons of gas for $42.00.Explain and Show work
Deal A is better if the cost of one gallon of gas under Deal A is less than $3.82.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Deal A offers % off the price of the gas. Let's say the regular price per gallon is $x. Then, the discounted price per gallon would be:
x - 0.5x = 0.5x
So, the cost of one gallon of gas under Deal A would be 0.5x.
We don't know the regular price per gallon, but we do know that the cost of % gallons under Deal A is $15.70. So, we can set up the following proportion:
% / 1 = $15.70 / 0.5x
% = 15.7 / 0.5x
Deal B offers 11 gallons of gas for $42.00. So, the cost of one gallon of gas under Deal B would be:
$42.00 / 11 = $3.82 (rounded to two decimal places)
Therefore, Deal A is better if the cost of one gallon of gas under Deal A is less than $3.82.
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On January 1, 1971, Arthur Clarke deposited $20
in a bank that paid 5% interest compounded
annually. How much money did he have in that
account on January 1, 2001?
Answer:5% = 0.05 . Then multiply the original amount by the interest rate. $1,000 * 0.05 = $50 . That's it.
Step-by-step explanation:
please give me brainliest
You have a 7-by-5-inch photo of the math club that must be reduced to a size of 4.2 inches by 3 inches for the school yearbook. What percent does the photo need to be reduced to in order for it to fit in the allotted space?
Answer: 64%
Step-by-step explanation:
Given: Size of photo = 7-by-5-inch
Area of photo = 7 x 5 = 35 sq. inches [ Area = Length x width]
Required size = 4.2 inches by 3 inches
Area of required size = 4.2 x 3 =12.6 sq. inches
Area reduced =Area of photo - Area of required size = 35-12.6 =22.4 sq. inches
Percentage of the photo need to be reduced to in order for it to fit in the allotted space
\(=\dfrac{22.4}{35}\times100=64\%\)
Percentage of the photo need to be reduced to in order for it to fit in the allotted space = 64%
H
Ms. Sanchez's guests drank 534534 gallons of pink lemonade in 1414 hour. What was the average rate in gallons per hour which her guests drank the pink lemonade?
The weight of an organ in adult males has a billship distribution with a mean of 330 g and a standard deviation of 50 g
Using the Empirical Rule, it is found that 99.7% of the weights are between 180 g and 480 g.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Hence, the bounds of the interval containing 99.7% of the weights is given by:
330 - 3 x 50 = 180 g.330 + 3 x 50 = 480 g.More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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Pentagon ABCDE is shown.
If Pentagon ABCDE is dilated about the origin with a scale factor of 3 into Pentagon A′B′C′D′E′
What coordinate pair describes the location of Point A'?
answer choices
A
( − 18 , − 9 )
B
(-9,18)
C
( − 1 , 2 )
D
( 1,3 )
Answer:
-1.2 C
Step-by-step explanation:
Mikey johnson shipped out 34 2/7 pounds of electrical supplies . The supplies are placed in individual packets that weigh 2 1/7 pounds each . How many packets did he ship out ?
Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.
To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.
We are given that the weight of each packet is 2 1/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.
Therefore, the weight of each packet is 15/7 pounds.
Now, divide the total weight by the weight of each packet.
We are given that the total weight of the supplies shipped out is 34 2/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.
Therefore, the total weight of the supplies is 240/7 pounds.
To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.
This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.
Therefore, Mikey shipped out 16 packets of electrical supplies.
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PLSSSS HELP ILL GIVE THE BRAINLIEST ANSWER!!!!!
Answer:
y = \(\frac{3}{4}\) x
Step-by-step explanation:
\(\frac{rise}{run}\) , rise over run, the graph is positive
Carleigh, Inc., is a pork processor. Its plants, located in the Midwest, produce several products from a common process: sirloin roasts, chops, spare ribs, and the residual. The roasts, chops, and spare ribs are packaged, branded, and sold to supermarkets. The residual consists of organ meats and leftover pieces that are sold to sausage and hot dog processors. The joint costs for a typical week are as follows: Direct materials $84,500 Direct labor 29,000 Overhead 20,000 The revenues from each product are as follows: sirloin roasts, $68,000; chops, $71,000; spare ribs, $33,000; and residual, $9,800. Carleigh’s management has learned that certain organ meats are a prized delicacy in Asia. They are considering separating those from the residual and selling them abroad for $52,000. This would bring the value of the residual down to $2,650. In addition, the organ meats would need to be packaged and then air freighted to Asia. Further processing cost per week is estimated to be $27,500 (the cost of renting additional packaging equipment, purchasing materials, and hiring additional direct labor). Transportation cost would be $12,100 per week. Finally, resource spending would need to be expanded for other activities as well (purchasing, receiving, and internal shipping). The increase in resource spending for these activities is estimated to be $3,120 per week.
Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.
To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.
The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).
Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.
However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).
Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.
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