4 +2 +4 = 10 blocks total
2 are blue so you have a 2/10 which reduces to 1/5 probability of picking blue
To calculate the probability of choosing a blue block from a bag, divide the number of blue blocks by the total number of blocks. In a bag with 4 red, 2 blue, and 4 green blocks, the probability is 2/10, which simplifies to a 20% chance of picking a blue block.
The question is about calculating the probability of selecting a blue block from a bag containing a mix of different colored blocks. When finding the probability of an event, the formula to use is the number of ways the event can happen divided by the total number of outcomes. In the case of the blue block, if a bag has 4 red, 2 blue, and 4 green blocks, there are
A total of 10 blocks (4 red + 2 blue + 4 green).2 favorable outcomes (the blue blocks).To calculate the probability of choosing a blue block, you divide the number of blue blocks by the total number of blocks:
Probability(Blue) = Number of Blue Blocks / Total Number of Blocks
Probability(Blue) = 2 / 10
Probability(Blue) = 0.2 or 20%
The final result is that there is a 20% chance of picking a blue block from the bag.
A group of students is investigating whether copper is a better thermal conductor than steel. The students take a copper wire and a steel wire of the same length and diameter. They put equal lengths of wax on one end of each wire and dip the other end into a beaker of hot water. The length of wax left on the wires after 10 minutes is shown.
Experimental Observations
Copper Steel
Original length of wax: 3 cm 3 cm
Length of wax after 10 minutes: 0.7 cm 1.8 cm
What was the dependent variable in this experiment?
Type of wire used
Original length of wire
Original length of wax
Thermal conductivity of wire
The correct dependent variable in this experiment is the Length of wax after 10 minutes.
In the context of an experiment, the dependent variable is the variable that is being measured or tested in the experiment. It is the outcome that the experimenters are interested in observing to determine the effect of the independent variable.
In this case, the students are investigating the thermal conductivity of copper and steel wires by observing how much wax melts over a fixed period of time when the wires are heated. The independent variable is the type of wire used (copper or steel), as this is what the students are changing to see its effect on the dependent variable.
The dependent variable is the length of wax remaining after 10 minutes because this measurement is expected to change based on the thermal conductivity of the wire. The better the thermal conductor, the more heat will be transferred along the wire, and the more wax will melt. Since the students are measuring how much wax has melted (by subtracting the length of wax after 10 minutes from the original length), this is the dependent variable.
The original length of wire and the original length of wax are control variables; they are kept constant to ensure that any differences in the dependent variable are due to the independent variable (the type of wire) and not due to other factors. The thermal conductivity of the wire is a property being indirectly measured through the observation of the dependent variable. It is not directly measured and thus is not the dependent variable.
1: -(5x + 7) + 1 = -5x -5
2: 4x - 7 + 2x = 2(3x - 3) - 1
3: -4x - 2 = -2(1 - 4x)
Evaluate the expression: |8|-|-2|
Thanks
Emily designed a robot that could climb down steps. She drew a graph to show the results from a test of her new robot. The graph shows the number of steps remaining over time.
Which equation represents Emily’s situation, where x is the number of seconds and y is the number of steps?
The equation that describes Emily's robot's movement is y = -mx + c where 'm' is the number of steps per second the robot climbs down, and 'c' is the initial number of steps. The equation would be negative because the number of steps decreases over time.
Explanation:In the given context, Emily's robot is being tested for its ability to climb down steps. As it performs this task, the number of steps it needs to climb down decreases over time. This relationship could be described by a linear equation. If every second the robot climbs down a fixed number of steps, this would translate to a constant rate of change or slope in the graph. Therefore, the equation would be of the form y = mx + c, where 'm' is the slope (representing the number of steps per second the robot climbs down) and 'c' is the y-intercept (representing the initial number of steps).
For instance, if the robot climbs down 1 step per second, and we started with 10 steps, the equation would be y = -x + 10 (negative because the number of steps is decreasing).
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Michael rented a truck for one day. there was a base fee of $19.95 , and there was an additional charge of 96 cents for each mile driven. michael had to pay $147.63 when he returned the truck. for how many miles did he drive the truck?
Which of the following is a step in constructing a circle circumscribed about a triangle?
a. Use a compass to locate the intersection of the midpoint of each side.
b. Use the perpendicular bisectors to find the center of the circle.
c. Use a compass to locate the intersection of the altitude of each side.
d. Use the angle bisectors to find the center of the circle.
Answer:
Answer B is correct
At North parking garage it costs $5 to bring your car into the garage plus $2 for every hour the car is parked
The equation relating the total cost with the number of hours will be c = 2.25h + 5.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have North parking garage where it costs $5 to bring your car into the garage plus $2.25 for every hour the car is parked.
Assume that [h] represents the number of hours the car was parked and [c] represents the total cost. Then, we can write the equation relating the total cost with the number of hours will be -
c = 2.25h + 5
Therefore, the equation relating the total cost with the number of hours will be c = 2.25h + 5.
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[The complete question is -
At the North parking garage it costs $5 to bring your car into the garage plus $2.25 for every hour the car is parked. If h, represents the number of hours the car was parked and c, represents the total cost, which equation would model this situation?]
The length of a rectangle is 24 units. can the perimeter x of the rectangle be 60 units when its width y is 11 units? (1 point)
Okay, well we start out with the equation P=66, where P is perimeter. You should create equations using variables to explain each piece of information you are given. Follow the equations below and see if you can understand how to do another one like this. In this problem, l is length and w is width.
P = 66 The perimeter is equal to 66
l = 3 + w The length of one side is 3 more than the width
2l + 2w = 66 A rectangle's perimeter is calculated by adding the lengths and widths
2(3 + w) + 2w = 66 Use what you know about length from step 2 to replace the variable in step 3
6 + 2w + 2w = 66 Multiply
6 + 4w = 66 Add like terms
4w = 60 Subtract
w = 15 Divide
l = 3 + w Remember step 2?
l = 3 + 15 Replace the variable using your value for w
l = 18 Add
And you're done! Always check your work. It helps to create a picture of a rectangle while you're doing these problems as well. As you get used to these problems more and more, you can show more or less work than I've shown, but try to stay true to what the teacher asks of you. Good luck!
Suppose you have 100 mL cup 300 mL cup in a 500 mL cup list two different ways you can measure exactly 1 L
Final answer:
To measure 1 liter, one could fill a 500 mL cup twice, or fill a 300 mL cup once, a 500 mL cup once, and a 100 mL cup twice, summing to a total of 1,000 mL which equals 1 liter.
Explanation:
To measure exactly 1 liter using cups of 100 mL, 300 mL, and 500 mL, we can use two different methods. It's important to note that 1 liter (L) equals 1,000 milliliters (mL). Here are the steps for each method:
Method 1:
Fill the 500 mL cup twice and pour the contents into another container. (500 mL + 500 mL = 1,000 mL)
This gives you exactly 1 liter, since 1,000 milliliters is equivalent to 1 liter.
Method 2:
First, fill the 300 mL cup and pour it into an empty container.
Then, fill the 500 mL cup and add it to the same container. (300 mL + 500 mL = 800 mL)
Lastly, fill the 200 mL remaining by using the 100 mL cup twice. (100 mL + 100 mL = 200 mL)
Combining all the measurements gives you 1,000 mL, which is exactly 1 liter. (800 mL + 200 mL = 1,000 mL)
Timothy deposited $2,780.20 in a savings account that earns 4.3% simple interest. What will Timothy’s account balance be in 7 months?
Given ΔABC, m∠A = 120°, b = 13 cm, and c= 15 cm. Find the triangle's area. Round to the nearest tenth.
Final answer:
The area of triangle ΔABC with m∠A = 120°, side b = 13 cm, and side c = 15 cm, when calculated using the formula for area ½ bc sin A, is approximately 84.2 cm² when rounded to the nearest tenth.
Explanation:
To find the area of triangle ΔABC with m∠A = 120°, side b = 13 cm, and side c = 15 cm, we will use the formula for the area of a triangle when two sides and the included angle are known:
Area = ½ bc sin A
First, we need to find the sine of angle A, which is sin(120°). Using a calculator, we find that sin(120°) ≈ 0.866. Now, we can plug in the values into the area formula:
Area = ½ × 13 cm × 15 cm × sin(120°)
Area = ½ × 13 cm × 15 cm × 0.866
Area ≈ ½ × 13 cm × 15 cm × 0.866 ≈ 84.225 cm²
Rounding to the nearest tenth, the area is approximately 84.2 cm².
Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall? The number of rolls per wall is
Assuming there are 4 walls
6/4 = 1.5 rolls per wall
Answer:
A
Step-by-step explanation:
Line l has a _____ slope.
positive
negative
undefined
0
Answer: positive
Step-by-step explanation:
The slope of a line is given by:-
[tex]m=\dfrac{\text{rise}}{\text{run}}[/tex]
From the given picture, it can be seen that the rise in the line l is positive since the change in the y coordinates increases as we from left to right.
Similarly we can see that the run in the line l is positive since the change in the x coordinates increases as we from left to right.
By using above formula, the slope of line m is positive.
Help please thanks!!!!!!!!!!!
Answer:
P represents the population in year 0
Step-by-step explanation:
Which is the best approximation for the measure of angle XYZ?
A) 33.6°
B) 39.8°
C) 50.2°
D) 56.4°
Answer
39.8°
Explanation
To solve this we can use the trigonometric ratio tangent.
tan x = opposite / adjacent
= 10/12
= 0.8333...
x = tan⁻¹(0.8333..)
= 39.8°
The best approximation for the measure of angle XYZ in the given triangle is 39.8 degrees.
To solve this we can use the trigonometric ratio tangent.
What is the trigonometric ratio tangent?tan x = opposite side / adjacent side
We have given the,
Opposite side=10in
Adjacent side=12in
use this value in the gven formula
Therefore we get,
tanx = 10/12
tanx = 0.8333...
x = tan⁻¹(0.8333..)
x = 39.8°
Therefore, The best approximation for the measure of angle XYZ is 39.8 degrees.
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What is the median ofthe data setgiven below? 42, 20, 12, 15, 18, 15, 29, 33?
Write a function rule for the table. p = 12.5h p = h + 12.5 h = 6.25p p = 6.25h
Answer:
A. p=6.25h
because
6.25 (2) = p 12.50
6.25 (4) = p 25.00
6.25 (6) = p 37.50
6.25 (8) = p 50.00
What is the answer to this question
how do you solve the equations:
-(1+4m)-6m=-81
and
238=-5(6v-7)-7
Find the equation of a line in standard form that passes through the point (0,3) and is parallel to y=8x-3
Given the following inverse variation find the missing value: (4, 33) (12, y)
PLEASE ANSWER AS SOON AS POSSIBLE!!!!!! THANKS I APPRECIATE YOU AND YOU'RE VALID
Question 2:
The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides.
24
What is the measure of an interior angle?
How many sides does the polygon have?
Question 1:
What are ED and FD in the figure to the right?
ED=
FD=
The measure of an interior angle of the regular polygon is 156 degrees and the polygon has 15 sides.
Explanation:In a regular polygon, the measure of an exterior angle is equal to 360 degrees divided by the number of sides of the polygon. In this case, the measure of the exterior angle is given as 24 degrees. So we can set up the equation:
24 = 360 / n
Where n is the number of sides. Cross multiplying, we get:
n = 360 / 24 = 15
So the polygon has 15 sides. To find the measure of an interior angle, we can use the formula:
Interior Angle = 180 - Exterior Angle
Interior Angle = 180 - 24 = 156 degrees
negative one sixth of a number is less than -9
The number will be greater than 54 such that a negative one-sixth of a number is less than -9.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal.
Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
Let's suppose that number is x
Then,
negative one-sixth of x
-(1/6)x is less than -9
-(1/6)x < -9
-x < -54
Multiplying by - will change the sign of inequality
So,
x > 54
Hence "The number will be greater than 54 such that a negative one-sixth of a number is less than -9".
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What value of x is in the solution set of 8x – 6 > 12 + 2x?
If the blue radius below is perpendicular to the chord ac which is 14 units long, what is the length of the segment ab
The answer (APEX) is: "7 units."
A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
What are the measures of the angles in triangle ABC?
a) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°
b) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°
c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
d) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°
Answer:
(C)
Step-by-step explanation:
It is given that a right triangle, ACB which is right angled at C has BC = 24 inches, and AB = 25 inches.
We know that m∠C=90°,
Using the trigonometry in ΔACB, we have
[tex]sinB=\frac{AC}{AB}[/tex]
Substituting the given values, we get
⇒[tex]sinB=\frac{24}{25}[/tex]
⇒[tex]B=sin^{-1}(0.96)[/tex]
⇒[tex]B=73.7^{\circ}[/tex]
Also, [tex]sinA=\frac{CB}{AB}[/tex]
Substituting the given values, we get
⇒[tex]sinA=\frac{7}{25}[/tex]
⇒[tex]A=sin^{-1}(0.28)[/tex]
⇒[tex]A=16.3^{\circ}[/tex]
Therefore, the measure of the angles in triangle ABC are m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°.
Thus, option C is correct.
Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/2=-24 5. 4x=-36 6. 4x=-32 7. x=-9 8. x=-8
Final answer:
After solving the original equation 2/3(6x+12)=-24, we find x = -8. Comparing this solution with the provided equations, the ones that have the same value for x are 9x+18=-24, 18x+36/2=-24, and x=-8.
Explanation:
To find which equations have the same value for x as 2/3(6x+12)=-24, we must first solve the original equation to find the value of x it yields:
2/3(6x+12) = -24
Multiply both sides by 3/2 to eliminate the fraction:
6x + 12 = -24 * (3/2)
6x + 12 = -36
Subtract 12 from both sides:
6x = -48
Divide by 6:
x = -8
Now we will compare this solution with the other equations:
4x+8=24 -> Does not match.9x+18=-24 -> When solving for x, we get x=-8, which matches.4x+12=-24 -> Does not match.18x+36/2=-24 -> Simplify to get 9x+18=-24, x = -8, matches.4x=-36 -> Does not match.4x=-32 -> Does not match.x=-9 -> Does not match.x=-8 -> Directly given the solution, which matches.Therefore, the equations that have the same value of x as the original equation are 9x+18=-24, 18x+36/2=-24, and x=-8.
The length of a rectangle is three times its width. if the area of the rectangle is 243 in2 , find its perimeter.
WILL GIVE BRAINLIEST-What is the average rate of change of the function on the interval from x = 0 to x = 2?
f(x)=250(0.5)x
The average rate of change of the function will be -93.75.
What is the average rate of change?It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
Given that the interval from x = 0 to x = 2 and the function is [tex]f(x)=250(0.5)^x[/tex].
Calculate the value of the function at x = 0 and x = 2
[tex]f(x)=250(0.5)^x[/tex].
[tex]f(0)=250(0.5)^0=250\\f(0)=250(0.5)^2=62.5[/tex].
The average rate of change will be calculated as,
Rate of change = ( 62.5 - 250 ) ( 2 - 0)
Rate of change = -93.75
Therefore, the average rate of change of the function will be -93.75.
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Which of these quadrilaterals can always be classified as a rectangle?
A) parallelogram
B) rhombus
C) square
D) trapezoid