Tara has 2 bags of marbles. The first bag contains 6 red marbles,5 blue marbles and 4 green marbles.The second bag contains 3 red marbles,2 blue marbles, and 4 green marbles.Tara will randomly select 1 marble from each bag.What is the probability that Tara will select a blue marble from each bag?
Answer: Tara will have a 2/27 probability of choosing a blue marble from each bag
solution: First, we need to find the probability for the first bag using (p= number of outcomes/ total of outcomes), the number of outcomes is 5, and the total is 15, so our probability for bag 1 is 5/15.
Then, for the second bag, the number of outcomes is 2, and the total is 9, so the probability for the second bag is 2/9
To find the probability for both of the bags, we have to multiply them: 5/15 × 2/9= 10/135=2/27
lou has 1/2 of a circular pizza left over from a party. he takes a third if it as a snack and evenly splits up the rest to share with his three brothers. Assuming that Lou cuts slices from the center of the straight edge, what are the angles of the slices of pizza. Select two that apply.
The density of glass is 2.6 g/cm3 and the density of lead is 11.3 g/cm3. Does this mean there are more particles of lead in 1 cm3 or that the lead particles are heavier than the glass particles? Give reasons for your answer.
A higher density means that lead is heavier than glass for the same volume, signifying that lead particles are both heavier and more numerous in a given volume than the glass particles.
Explanation:The density of a substance tells us how much mass is in a given volume, and it is expressed in g/cm³. Comparing the densities of glass (2.6 g/cm³) and lead (11.3 g/cm³), we can say that a given volume of lead is much heavier than the same volume of glass. This could mean either there are more lead particles or the lead particles are heavier. But from atomic physics, we know that individual lead atoms are indeed heavier than individual silica atoms (which make up glass). Therefore, the higher density of lead signifies that the lead particles are both more numerous and heavier in a given volume than the glass particles.
Learn more about Density here:https://brainly.com/question/16837974
#SPJ3
given a mean of 7.6 and a standard deviation of 3.1 what is the z-score of the value 10 rounded to the nearest tenth ?
A)0.8
B)0.9
C)1.7
D)5.7
if i know the diameter of a circle and the approximation for pi, how can I estimate the circumference of a circle?
Write the equation of the line with the following characteristics.A horizontal line through the point (0,3)
Find the measure of the base angles in an isosceles triangle if the third angle measures 47° .... Show work please
Final answer:
Each base angle of the isosceles triangle measures 66.5°, found by subtracting the given angle from 180° and dividing the remainder by 2.
Explanation:
To find the measure of the base angles in an isosceles triangle when one angle measures 47°, we will use the fact that the sum of all angles in any triangle is always 180°.
Additionally, we know from geometry that in an isosceles triangle, the angles opposite the equal sides are equal. Applying these principles, we first subtract the given angle from the total sum of the angles:
180° (total angles in a triangle) - 47° (given angle) = 133°.
Now, since the remaining two angles are equal, we divide 133° by 2 to find the measure of each base angle:
133° ÷ 2 = 66.5°.
Thus, each base angle of the isosceles triangle measures 66.5°.
SOME ONE PLEASE HELP
Choose the correct simplification of the expression (7m3 n)2.
A.14m5n3
B.14m6n2
C.49m5n3
D. 49m6n2
What is the Value of Y?
PLEASE HELP!!!!! I WILL FAIL MATH IF I DONT GET THIS RIGHT!!! WILL MARK BRAINLIEST!!!!!
What is 60 scaled down by a factor of 1/10?
ERGENT
A construction company needs to remove 2 1/6 tons of dirt from a construction site. They can remove 7/8 tons of dirt each hour. What is the total number of hours it will take to remove the dirt?
It will take the construction company approximately 2 10/21 hours to remove the dirt.
Explanation:To find the number of hours it will take to remove the dirt, we need to divide the total amount of dirt by the amount of dirt that can be removed each hour. First, we need to convert the mixed number 2 1/6 tons to an improper fraction. 2 1/6 = 13/6 tons. Next, we divide 13/6 by 7/8 to find the number of hours:
13/6 ÷ 7/8 = 13/6 × 8/7 = 104/42 = 2 20/42 = 2 10/21
So, it will take the construction company approximately 2 10/21 hours to remove the dirt.
What is the area of triangle ABC
Answer:
8.4
Step-by-step explanation:
On February 1, the electricity meter reading for the Smith residence was 19,423 kilowatt hours. On March 1, the meter read 20,288 kilowatt hours. On April 1, the meter read 21,163 kilowatt hours. a. How many kilowatt hours of electricity did the Smiths use during February? b. How many kilowatt hours did they use during March?
mila wants to spend at least $20 on a classified ad in the newspaper. She has $12, how much does she need?
I need an equation with an inequality please:) thank you!
Mila needs at least $8 more to reach her goal of spending $20 on a classified ad. The inequality to represent this problem is x ≥ 8, where x is the amount of additional money she needs.
If Mila wants to spend at least $20 on a classified ad and currently has $12, we need to figure out how much more money she needs. We denote the amount of money she needs with the variable x. An inequality that represents this situation is:
12 + x ≥ 20
Subtracting 12 from both sides of the inequality to isolate x, we get:
x ≥ 20 - 12
x ≥ 8
So, Mila needs at least $8 more to have enough for the classified ad.
Find the values of x and y that make these triangles congruent by the HL theorem 2x-1 y-1
find the measure of the angle
Measure of the Bigger Angle= Measure of Given Angle+Measure of Smaller Angle
Measure of Bigger Angle =Measure of Angle to be Found
Measure of Angle to be Found= Measure of Given Angle + Measure of Smaller Angle
The smaller Angle signifies one quadrant
So, Measure of Smaller Angle = 90°
Measure of Angle to be found=90°+Measure of given Angle
Measure of Angle to be found=90°+55°
Measure of Angle to be found=145°
Answer:145°
Expand the binomial (2x + y^2)^5.
The fourth term in the expansion of the binomial (2x + y^2)^5 is _____
A square pyramid is sliced so that the cross section is perpendicular to its base. The cross section intersects the vertex of the pyramid. What is the shape of the cross section?
Question 1 options:
Trapezoid
Triangle
Square
Pentagon
Aiden mixes 630 mL of blue paint with 2 L of red paint to make purple paint how many milliliters of purple paint does Aidan have
This is an EXPLAIN YOUR THOUGHTS question. Be sure to answer ALL parts of the questions and include all your work!
Task: Find the volume of the figure below. (Hint: divide them into two figures you know how to solve for).
Part a) What is your strategy, ie what shapes can you divide the figure into to find the volume?
Part b) What eqautions will you use to find the VOLUME? First state the general equations. Then include the known values into the equation.
Part c) What is the VOLUME? (don't forget units!)
Please answer and explain
What is the value of x?
sin(x+21)°=cos(2x+21)°
Which of the following describes the translation of the graph of y = x2 to obtain the graph of y = -x2 + 3?
six less than four times a number is 26. What is the number?
PLEASE HELP, ASAP!
The diagram shows the view from the top of a rectangular building and the lawn around the building. The building and lawn form the shape of a trapezoid.
What is the area of the lawn?
Enter your answer in the box.
What is the value of 2x3squared +x2squared when x = 3
a plane can travel 480 miles per hour with the wind and 440 miles per hour Against the Wind find the speed of the wind and the speed of the plane in still air
Final answer:
The speed of the plane in still air is 460 miles per hour, and the speed of the wind is 20 miles per hour, found by setting up equations using the given speeds with and against the wind and solving them.
Explanation:
The question requires us to find the speed of the wind and the speed of the plane in still air based on the given speeds of the plane traveling with and against the wind. The speed of the plane with the wind is 480 miles per hour, and against the wind is 440 miles per hour. We can use these values to set up two equations:
The plane's speed in still air plus the wind's speed equals 480 mph.
The plane's speed in still air minus the wind's speed equals 440 mph.
Let's denote P as the plane's speed in still air and W as the wind's speed. We can establish two equations based on the aforementioned points:
1. P + W = 480
2. P - W = 440
To find P and W, we add the two equations together:
(P + W) + (P - W) = 480 + 440
2P = 920
P = 920 / 2
P = 460 mph
Now that we have the plane's speed in still air, we can find the wind's speed using either of the original equations:
460 + W = 480
W = 480 - 460
W = 20 mph
Therefore, the speed of the plane in still air is 460 miles per hour and the speed of the wind is 20 miles per hour.
You are building a rectangular deck. The area of the deck should be 250ft². You want the length of the deck to be 5 ft longer than twice its width. What should the dimensions of the deck be?
HELP PLZ ASAP!!!!!!!!!!!
THX
A plane can travel 640 miles against the wind in the same time it can travel 800 miles with the wind. If the plane can fly 180 mph in calm air, what is the speed of the wind? If x represents the speed of the wind, which expression represents the time it takes for the plane to travel the 640 miles against the wind?
Answer:
640/(180 - x)
Step-by-step explanation:
The expression for time it takes for the plane to travel the 640 miles is 640/ (180- x).
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Let the speed of the wind be x
Speed of the plane is 180 mph
When plane flew with wind , Speed = (180+x)
When plane flew against the wind , Speed=(180-x)
Since we are given that A plane can travel 640 miles against the wind .
So, Time= Distance / speed
Time= 640/ (180 - x)
Hence, time it takes for the plane to travel the 640 miles is 640/ (180- x)
Learn more about Algebra here:
https://brainly.com/question/8036642
#SPJ2