If a chip is randomly drawn from the bag, the probability it will be a red or a blue one is P(red or blue) = 10/19.
Probability of an event A is the number of event A divided by all possible outcomes. Mathematically,
P(A) = n(A)/n(S)
where:
n(A) = number of event A
n(S) = number of all possible outcomes or sample space.
Suppose A and B are independent outcomes, then:
P(A or B) = P(A) + P(B)
In the given problem:
Number of chips:
Blue = 3
Red = 7
Yellow = 4
Green = 5
Total chips = 3 + 7 + 4 + 5 = 19
If a chip is randomly drawn, the probability it will be a red one is:
P(red) = 7/19
Similarly,
P(blue) = 3/19
Using the probability formula for independent outcomes:
P(red or blue) = P(red) + P(blue)
= 7/19 + 3/19 = 10/19
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Allen traveled for 7 hours at a constant rate of 40 miles per hour. Anna traveled the same distance at a constant rate of 50 miles per hour.
How long did it take Anna to travel the same distance as Allen?
Drag the steps in the correct order to solve the problem.
Here is the correct order of the step:
Identify: Anna's time is the unknown
Strategize : let x = Anna's time
Set up : 7(40) = x(50)
Solve: x = 5.6
Check: 7(40) = 5.6(50)
What is Anna's time?The first step is to determine the distance Allen travelled:
Distance = average speed x time
40 x 7 = 280 miles
The second step is to determine the time it took Anna to travel 280 miles.
Time = distance / average speed
280 / 50 = 5.6 hours
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57. distance and rate to get to her grandmother's house, little red riding hood first rows a bot along a river at a speed of 10 km/hr and then walks through the woods at 4 km/hr. if she start from a point that is 7 km south and 12 km west of grandma's house, at what point along the rive should she dock her boat so that she can reach the house in a total of exactly 3 hours? assume that all paths are straight paths.
She should dock her boat at 5.81 kilometers.
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is traveling along a route.
Given:
Distance and rate to get to her grandmother's house, little red riding hood first rows a bot along a river at a speed of 10 km/hr and then walks through the woods at 4 km/hr.
If she starts from a point that is 7 km south and 12 km west of grandma's house,
then the distance is d + √{(7−d)²+12²}.
The total time it takes her to reach her grandmother's house is:
d/10 + √{(7−d)²+12²}/4.
To find the value of d that makes the total time exactly 3 hours,
d/10 + √{(7−d)²+12²}/4 = 3.
2d + 5√(7−d)²+12² = 60
4d²+ 100d+25(7−d)² + 25(12²) = 3,600
d ≈ 9.19 or 5.81
Therefore, the only valid solution is d ≈ 5.81 kilometers.
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Can someone please help me ASAP?? It’s due today!! I will give brainliest If It’s correct!!
please do part a, b, and c
The five-number summary of each distribution is shown below.
The difference of the median value of the two data sets is 1.
The difference and multiple of variation for the range are 4 and 1.444.
How to determine the five-number summary of each distribution?Based on the information provided about the first data set (Girls), the five-number summary for the given data set include the following:
Minimum (Min) = 25.
First quartile (Q₁) = 26.
Median (Med) = 30.
Third quartile (Q₃) = 31.
Maximum (Max) = 34.
For the Boys, the five-number summary include the following:
Minimum (Min) = 23.
First quartile (Q₁) = 24.
Median (Med) = 29.
Third quartile (Q₃) = 32.
Maximum (Max) = 36.
Difference in median = 30 - 29
Difference in median = 1.
Range of girls = 34 - 25 = 9
Range of boys = 36 - 23 = 13
Difference in range = 13 - 9
Difference in range = 4.
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find the lengths of the hypotenuses (x) of the triangle whose legs are given
1) 3cm,4cm
a = 3 cm
b = 4 cm
c = ?
c = √{ a² + b² }
c = √{ 9 + 16 }
c = 5 cm
_____
Answer:
5cm
Step-by-step explanation:
You use the Pythagoras theorem
\( {a}^{2} + {b}^{2} = {c}^{2} \\ {3}^{2} + {4}^{2} = {c}^{2} \\ 9 + 16 = {c}^{2} \\ 25 = {c}^{2} \\ \sqrt{25} = \sqrt{ {c}^{2} } \\ 5 = c \\ c = 5\)
If sint=18 , and t is in quadrant i, find the exact value of sin(2t) , cos(2t) , and tan(2t) algebraically without solving for t
The value of Sin2t is 1/4 and cos2t is (15/16)^1/2 and tan2t is 1/(15)^1/2.
According to the statement
we have given that the sint=1/8 then we have to find the exact value of
sin(2t) , cos(2t) , and tan(2t).
Here the value of Sint = 18
then sin2t becomes
sin2t = 2*1/8 then
sin2t = 1/4.
And
(Cos2t)^2 = 1 - (Sin2t)^2
(Cos2t)^2 = 1 - 1/16
(Cos2t)^2 = (16 - 1)/16
(Cos2t)^2 = 15/16
(Cos2t) = (15/16)^1/2
then
tan2t = sin2t/cos2t
tan2t = (1/4)/(15)^1/2 / 4
tan2t = 1/(15)^1/2
these are the values of given terms.
So, The value of Sin2t is 1/4 and cos2t is (15/16)^1/2 and tan2t is 1/(15)^1/2.
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cindy baught 1/4 amount of ribbon and jacob baught 7/8 amount of ribbon how much ribbon does jacob have
Answer:
0.875
Step-by-step explanation:
a bag contains 14 pieces of candy. in how many ways can six pieces be selected?
The number of ways to select 6 pieces of candy from a bag containing 14 pieces can be calculated using the combination formula. There are 3003 different ways to select six pieces of candy from a bag containing 14 pieces.
which is:
nCr = n! / (r! * (n-r)!)
where n is the total number of candies in the bag (14), and r is the number of candies to be selected (6).
Using this formula, we get:
14C6 = 14! / (6! * (14-6)!)
= 3003
Therefore, there are 3003 ways to select 6 pieces of candy from a bag containing 14 pieces.
To determine the number of ways six pieces can be selected from a bag containing 14 pieces of candy, you can use the concept of combinations. Combinations are used when the order of selection does not matter.
The formula for combinations is:
C(n, r) = n! / (r!(n-r)!)
In this case, n = 14 (total pieces of candy) and r = 6 (number of pieces to be selected).
Using the formula:
C(14, 6) = 14! / (6!(14-6)!)
C(14, 6) = 14! / (6! * 8!)
Now, calculate the factorials:
14! = 14 * 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
6! = 6 * 5 * 4 * 3 * 2 * 1
8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Then, substitute the factorials back into the equation:
C(14, 6) = (14!)/(6! * 8!)
C(14, 6) = (87178291200)/(720 * 40320)
Finally, divide the numerator by the denominator:
C(14, 6) = 3003
So, there are 3003 different ways to select six pieces of candy from a bag containing 14 pieces.
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someone please answer this
(I attached an image with the question)
Answer:
A
Step-by-step explanation:
Group like-terms, that is move the numbers to one side of the sign.
Then, divide both sides by 2
plz help will mark if correct:))
When Sam and his friends get together, Sam makes orange soda by mixing orange juice with soda (sparkling water). On Friday, Sam makes 7 liters of orange soda by mixing 3 liters of orange juice with 4 liters of soda.On Saturday, Sam makes 9 liters of orange soda by mixing 4 liters of orange juice with5 liters of soda. Make a prediction about how the two orange sodas will compare in taste. Explain your reasoning.
Answer:
Friday's drink will taste more like soda and Saturday's drink will taste more like orange juice.
Step-by-step explanation:
Not sure if this is the exact answer you want, but we can use fractions to determine how much one drink tastes compared to the other.
For Sam's Friday drink, we see that he makes 7 liters of orange soda by mixing 3 liters of orange juice with 4 liters of soda. As such, we know that \(\frac{3-liters-of-orange-juice}{7-total-liters}\) and \(\frac{4-liters-of-soda}{7-total-liters}\).
For Sam's Saturday drink, we can also approach it the same way: the drink has \(\frac{4-liters-of-orange-juice}{9-total-liters}\) and \(\frac{5-liters-of-soda}{9-total-liters}\)
Now, we can just compare the fractions with each other:
\(\frac{4-liters-of-orange-juice}{9-total-liters}\) > \(\frac{3-liters-of-orange-juice}{7-total-liters}\) and
\(\frac{4-liters-of-soda}{7-total-liters}\) > \(\frac{5-liters-of-soda}{9-total-liters}\).
So we know that the Saturday drink will probably taste more like orange juice than the Friday one. Conversely, we know that the Friday drink will probably taste more like soda than the Saturday one.
2.8 × 7.47 step by step NEEDED
The multiplication of 2.8 by 7.47 is 20.916.
How to multiply?The steps needed to do the multiplication will be:
Line up the numbers on the right.Do not align the decimal points.Starting on the right, then multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.Finally, add the products.To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
In this case the value of 2.8 × 7.47 is 20.916.
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What is the value of (-3 + 3) + (-2 + 3)?
O 5 - 61
0 -5 + 6
O 5 + 61
O 5-61
Answer:
Please check the question. As written, the value is 1, which is not amoung the answers
Step-by-step explanation:
(-3 + 3) + (-2 + 3)
(-3 + 3) = 0
(-2 + 3) = 1
0 + 1 = 1
a straight line passed through the points (3,4) and (3,8). what is the question of the line?
Answer:
x - 3 = 0
Step-by-step explanation:
Click on this link, for I cant explain things very well :(
www.mathportal.org/calculators/analytic-geometry/two-point-form-calculator.php?val1=3&val2=4&val3=3&val4=8&rb1=gen
Find the value of x and YZ if Y is between X and Z.
XY=4x, YZ=x, and XZ=25
The value of x and YZ is x = 5 units and YZ = 5 units
Given: XY = 4x, YZ = x, XZ = 25 and Y is between X and Z.
This question is based on segment bisector theorem.
What is segment bisector theorem?
The segment bisector theorem states that for a line segment XZ whose length is unknown and if there is a point Y within the line XZ and the length of Y from X and Y from Z is known, that is XY and YZ are of known lengths then we can give the length of line XZ as:
XZ = XY + YZ
How to use segment bisector theorem?
Let's say a line segment XZ is given and the length is unknown.
There is a point Y within the line segment XY where value of XY and YZ are known. Say , XY = a and YZ = b.
So we kind find the length of XZ by direct application of the theorem that is XZ = XY + YZ
Therefore XZ = a + b.
The length of XZ is known.
Similarly if the length of XZ was known and Y was a point within the line segment XZ. The length of only XY was known, We could have find the length of YZ by YZ = XZ - XY and so on.
Now, let's solve the problem.
As Y is between is X and Z, so Y is a point on the line segment XZ and Y is dividing the line segment into two parts namely XY and YZ.
so, XY + YZ = XZ
4x + x = 25
5x = 25
x = 25 / 5
x = 5
YZ = x = 5
Hence x = 5 units and YZ = 5 units
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Please help!!!! 2 questions 50 points!!!!
Answer:
See below ~
Step-by-step explanation:
Question 1
The missing angles
Both the unknown angles have the same value as the other two angles in the triangles are the same∠(missing) = 180 - (72 x 2)∠(missing) = 180 - 144∠(missing) = 36°⇒ The sides are equal
⇒ Angles are not 90°
⇒ It is a rhombus
Question 2
The diagonals of the shape bisect other (Statement 1)NY = NW (given)XN = NZ (given)∠XNY = ∠WXZ (vertically opposite angles)ΔXNY ≅ ΔWXZ (SAS)They form two congruent triangles (Statement 2)From these two statements, it is evident the figure is a parallelogramShelley had 53¢ until she spent 1 quarter. How much money does Shelley have now?
Answer:
28¢
Step-by-step explanation:
A quarter is 25¢, so 53¢ - 25¢ = 28¢.
find M< NML ANSWER -156 78 162 81
Answer:
156
its 156 owo
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The number positioned at point E is...
Answer:4 and a half
Step-by-step explanation:
4 and a half
A study on the average minutes spent by students on internet usage is 300 with a standard deviation of 102. Answer the following questions assuming a bell-shaped distribution and using the empirical rule. What percentage of students use the internet for more than 402 minutes?.
16% of students use the internet for more than 402 minutes.
Given that students use the internet for 300 minutes on average every day
102 as the standard deviation
P is the percentage of students who uses more than 402 minutes of internet.
To calculate the percentage:
As per the empirical rule,
The majority of people (68%) are within 1 standard deviation of the mean.
The mean is within 2 standard deviations of 95% of the population.
The mean and 3 standard deviations are shared by 99.7% of the population.
This will serve as an illustration of the percentage:
= P(X > 402)
= P(X > 30 + 1 × 102)
= (1 - 0.68) / 2
= 0.32/2
= 0.16
= 0.16 x 100
= 16%
Thus, the percentage of students who use the internet for more than 402 minutes is 16%.
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Choose the polynomial that is written in standard form.
a
7x^5+8x^8+27x
b
5y^2+8y^3-12y^5
c
-3x^4y+2x^2y^2+5y^3
d
10xy^4+3x^3y^2-6x^2y
Evaluate the expression.
4×(7×5)
=
Answer:
4x(7x5) = 4x(35)
To evaluate the expression, we must first perform the operations inside the parentheses. In this case, 7x5 = 35. Then we can multiply 4 with that result, which gives us 4x35 = 140. So the final value of the expression is 140.
Answer: 140
Step-by-step explanation:
4 x (7 x 5)
7 x 5 = 35
4 x 35
= 140
When Nellie Newton hangs at rest in the middle of a clothesline, tensions will be the same in each side of the rope when:
a. the lengths of each rope are the same
b. the angles for both sides of the rope are equal
c. she is in equilibrium
The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.
When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.
For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.
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SUBSTITUTING INGREDIENTS
1. Your soup recipe calls for tdry mustard What can you substitute?
2. Your chocolate cake recipe calls for 2 ozunsweetened baking chocolate substitute ?What can you
3. Your muffin recipe calls for 2 c. self-rising flour. What can you substitute 3. Your meat sauce recipe calls for 2 T. fresh, chopped basil. What can you substitute?
4. Your cake recipe calls for 2 c. cake flour . What can you substitute ?
Answer:
1. 1 tablespoon Dijon mustard
2. Combine six Tablespoons of cocoa powder and two Tablespoon of vegetable oil, butter or shortening
3. 2 cups of all-purpose flour, 3 teaspoons baking powder, and ½ teaspoon salt
3. One teaspoon of dried basil leaves
4. Combine 1 3/4 cups all-purpose flour with 1/4 cup cornstarch
Step-by-step explanation:
CAn I have brainliest? TYSMMMMMMMMMM
gina wilson Methods for solving Quadratic equations Directions: Solve the equation below using each method. If a method can't be used, explain why. x2+6x+5=0
Step-by-step explanation:
The given equation is:
x^2 + 6x + 5 = 0
To solve this quadratic equation, we can use several methods, including:
Factoring method
Completing the square method
Quadratic formula method
Let's apply each method to solve the given equation:
Factoring method:
To factor the given quadratic equation, we need to find two numbers whose product is 5 and sum is 6. These numbers are 1 and 5. So, we can factor the quadratic equation as:
(x + 1)(x + 5) = 0
Applying the zero product property, we get:
x + 1 = 0 or x + 5 = 0
Solving for x, we get:
x = -1 or x = -5
Therefore, the solutions of the quadratic equation are x = -1 and x = -5.
Completing the square method:
To use the completing the square method, we need to write the given quadratic equation in the standard form:
x^2 + 6x + 5 = 0
(x + 3)^2 - 4 = 0 [Note: (a+b)^2 = a^2 + 2ab + b^2 ]
(x + 3)^2 = 4
Taking the square root on both sides, we get:
x + 3 = ±2
Solving for x, we get:
x = -3 + 2 or x = -3 - 2
x = -1 or x = -5
Therefore, the solutions of the quadratic equation are x = -1 and x = -5.
Quadratic formula method:
To use the quadratic formula, we need to know the values of the coefficients a, b, and c in the quadratic equation:
x^2 + 6x + 5 = 0
Here, a = 1, b = 6, and c = 5. Substituting these values in the quadratic formula, we get:
x = [-b ± √(b^2 - 4ac)] / (2a)
x = [-6 ± √(6^2 - 4(1)(5))] / (2 × 1)
x = [-6 ± √(16)] / 2
x = [-6 ± 4] / 2
x = -3 ± 2
Solving for x, we get:
x = -1 or x = -5
Therefore, the solutions of the quadratic equation are x = -1 and x = -5.
In conclusion, the solutions of the given quadratic equation x^2 + 6x + 5 = 0 are x = -1 and x = -5, which we obtained by using each of the three methods: factoring, completing the square, and quadratic formula.
John took a 5 1/2 mile walk to his friend's house. He left at 11 a.m. and
arrived at his friend's house at 12:45 p.m. What was his average speed of
walking in miles per hour?*
Answer:
3.14 mph
Step-by-step explanation:
5.5 divided by 1.75
5.5 is the miles
1.75 is the hours
Answer: The average speed on the return trip is 2.44 miles/h
Step-by-step explanation:
the area of the shape below I NEED HELP NOW
Answer:
8 units squared
Step-by-step explanation:
Answer:
10 units\( {}^{2} \)Step-by-step explanation:
Area of quadrilateral:
\( \frac{1}{2} (b1 + b2)h\)
Where, b1 = 2 , b2 = 2+2+4 = 8 , h = 2
Now,
\( \frac{1}{2} (b1 + b2)h\)
plugging the values
\( \frac{1}{2} \times (2 + 8) \times 2\)
Calculate the sum
\( \frac{1}{2} \times 10 \times 2\)
Reduce the numbers with G.C.F 2
\( = 5 \times 2\)
Calculate the product
\( = 10 \: {units}^{2} \)
Hope this helps...
Best regards!
solve for x: 2(2x-8)=3(4-x)
Answer:
4
Step-by-step explanation:
1. First you want to distribute the coefficients through the values in the parenthesis
a. 2(2x-8)=3(4-x)
b. 4x-16 = 12-3x
2. Then you want to put all of the x values on one side of the equation
a. 4x-16 = 12-3x
b. 4x+3x-16=12-3x+3x
c. 7x-16=12
3. Then do the same for the constant values
a.7x-16=12
b.7x-16+16=12+16
c.7x=28
4. Then you divide both sides by the coefficient in front of the x value
a.7x=28
b.7x/7 =28/7
c. x = 4
5. We can check this by plugging this value in to the example
a. 2(2*4-8)=3(4-4)
b. 2(8-8)=3(0)
c. 2(0)=3(0)
d. 0 = 0 :)
Evaluate this expression, be sure to use the correct order to calculate. 64 ÷ 4^2 *
Answer:
The correct solution is 4
Step-by-step explanation:
64÷4^2
64÷16
=4
Answer:
4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
64 ÷ 4²
Step 2: Evaluate
Exponents: 64 ÷ 16Divide: 4Which property can be used to show that if 16 = 9+ 7 then 9 + 7 = 16?
A) Reflexive Property of Equality
B) Symmetric Property of Equality
C) Transitive Property of Equality
D) Substitution Property of Equality
Answer: B) Symmetric Property of Equality
Step-by-step explanation:
symmetric property of equality is basically saying that if y = x, then x = y.
a store clerk wants to stack shoe boxes on a shelf that is 3 ft tall. a shoebox has a volume that is 528 cubic inches and the area of the base is 96 square inches. find the height of each shoe box and determine how mnay shoe boxes the clerk can stack on the shelf
The height of each shoebox is 5.5 inches and the clerk can stack 7 shoe boxes (6 full and 1 partially filled) on the shelf.
A store clerk wants to stack shoe boxes on a shelf that is 3 ft tall.
A shoebox has a volume that is 528 cubic inches and the area of the base is 96 square inches.
Find the height of each shoebox and determine how many shoe boxes the clerk can stack on the shelf.
The volume of each shoebox.
To find the height of each shoebox, we have to know its volume and base area.
Let h be the height of the shoebox.
Volume of the shoebox is V = 528 cubic inches.
And area of the base is A = 96 square inches.
Therefore, Volume of the shoebox,
V = Ah ⇒ 528 = 96h ⇒ h = 528/96 ⇒ h = 5.5 inches.
Hence, the height of each shoebox is 5.5 inches.
We need to find how many shoe boxes the clerk can stack on the shelf.
The height of the shelf is 3 ft = 36 inches.
If the height of each shoe box is 5.5 inches, then the number of shoe boxes that the clerk can stack on the shelf can be found by dividing the total height of the shelf by the height of each box.
Therefore, the number of shoeboxes the clerk can stack on the shelf is:
No. of shoeboxes = Height of the shelf / Height of each shoebox
⇒ No. of shoeboxes = 36/5.5 = 6.54.
So, the clerk can stack 6 full shoe boxes and the 7th box can be filled partially (5.5 inches of height).
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