To find the probability that both marbles drawn by Joseph are black, you need to consider the number of ways he can draw 2 black marbles out of the 4 black marbles in the bag, divided by the total number of ways he can draw 2 marbles from the 10 marbles in the bag without replacement. The probability is 2/15.
Explanation:To find the probability that both marbles drawn by Joseph are black, we need to consider the number of ways he can draw 2 black marbles out of the 4 black marbles in the bag, divided by the total number of ways he can draw 2 marbles from the 10 marbles in the bag without replacement.
Let's calculate:
Therefore, the probability that both marbles are black is 6/45, which simplifies to 2/15.
Use the figure to answer the following questions.
Please show work if possible
A. What is the intersection of plane P and plane R?
B. Name three points that are collinear
C. Name plane R in two more ways
D. Name four coplanar points
E. Name a points that lie on both plane P and plane R
The intersection of plane P and plane R is the line AB. Points A, B, and C are collinear. Plane R can be named as plane AB or plane BC. Points A, B, C, and D are coplanar. Point A lies on both plane P and plane R.
Explanation:A. The intersection of plane P and plane R can be found by determining the common points that lie on both planes. In the given figure, we can see that the line AB lies on both planes P and R, so the intersection of plane P and plane R is the line AB.
B. Collinear points are the points that lie on the same straight line. In the given figure, the points A, B, and C are collinear as they all lie on the line AB.
C. Plane R can be named in two more ways as plane AB or plane BC, as it is the same plane defined by either line AB or line BC.
D. Coplanar points are the points that lie on the same plane. In the given figure, the points A, B, C, and D are coplanar as they all lie on plane R.
E. A point that lies on both plane P and plane R is the point A, as it lies on both the plane defined by line AB (plane R) and the plane perpendicular to line CD (plane P).
How many cars are sold in a typical week at the dealership?
In this question, we determine the total number of cars sold in a typical week at a dealership based on the given data.
Based on the given data:
Number of cars sold at the dealership in a typical week:
3 cars: 14
4 cars: 19
5 cars: 12
6 cars: 9
7 cars: 11
To find the total cars sold:
Add the number of cars sold in the respective categories: 14 + 19 + 12 + 9 + 11 = 65. Therefore, 65 cars are sold in a typical week at the dealership.
Merl is a canadian exchange student in china and he currently has 12000 yuan in his bank account. If the exchange rate changes from 1 canadian dollar= 6.78 chinese yuan what happens to the value in canadian dollars of the money in merla bank account
Merl has 12,000 yuan, which if you divide by 6.78, gets you 1769.9115, in money terms is $1,769.91. So he has 1,769.91 Canadian dollars.
the odometer in Mr Washington's car does not work correctly the odometer recorded 13.2 miles for his last trip to the hardware store but he knows the distance traveled is 15 Mi what is the percent error
PLEASE HELP, ASAP!
Deborah is planting a rectangular garden. The garden is 15.25 feet long and 12.5 feet wide.
The formula for the area of a rectangle is A=bh.
What is the area of the garden?
Enter your answer as a decimal in the box.
Answer: [tex]190.625\text{ feet}^2[/tex]
Step-by-step explanation:
Given: Deborah is planting a rectangular garden.
The breadth of the garden (b)= 12.5 feet
The length of the garden (h)= 15.25
The formula for the area of a rectangle is given by :-
[tex]A=bh\\\\\Rightarrow\ A=12.5\times15.25\\\\\Rightarrow\ A=190.625\text{ feet}^2[/tex]
Therefore, the area of the garden = [tex]190.625\text{ feet}^2[/tex]
Which is the best display for the set of the number of daily 911 calls made during a month, if you want to be able to identify the mode?
A. Histogram with intervals of 5
B. Histogram with the intervals of 3
C. Line plot
D. Line graph
Please help me I can not and I mean CAN NOT figure this out by myself. So please please please help me ASAP!!!!!!!!!!!!!!!!!!!!
Answer:C
Step-by-step explanation: It is line plot. The key word is mode. You can identify the mode more easily from a line plot than a line graph.
What property is used to say that the expressions 5x + 7 - 2x is equivalent to the expression 5x - 2x + 7?
Commutative, distributive, associative or identity
Find the values for a and b that would make the following equation true. (ax^2)(-6x^b) = 12x^5
vic is driving 450 miles to his grandma's house. if vic can drive 25 miles per gallon of gas,how many gallons if gas will he use round trip
(9r-5)-(-4r+9)
[tex](9r - 5) - ( - 4 + 9) [/tex]
Write an equation in standard form for the line whose slope is undefined and and passes through (-6,4).
The equation represents a vertical line passing through the point (-6, 4) is x= -6.
When the slope is undefined, it means that the line is vertical.
In this case, the line passes through the point (-6, 4).
A vertical line has the equation of the form x = k, where k is a constant. Since the line passes through (-6, 4), the equation of the line in standard form is:
x = -6
This equation represents a vertical line passing through the point (-6, 4).
Learn more about Slope here:
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Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00. She then uses her calculator to determine her new balance. Which of the following is the correct series of keys she should press?
Which expression is equivalent to the expression shown please help!!!
Answer:
[tex]5^{15}[/tex]
Step-by-step explanation:
[tex]\frac{(5^3)^9}{5^12}\\\\\frac{5^{3*9}}{5^12}\\ \\\frac{5^27}{5^12}\\ \\ 5^{27-12}\\ \\ 5^{15}[/tex]
Can you help me list the following stocks and bonds in order from highest default risk to lowest default risk?
-A municipal bond in a city with a population of 150,000
-A common stock in a company under federal investigation
-A preferred stock in a 150-year old firm with good business practices
From highest to lowest default risk, the investments would likely be ranked as follows: common stock in a company under federal investigation, a municipal bond from a relatively small city, and preferred stock in a stable, long-established firm.
Explanation:The default risk of a financial investment is the likelihood that the issuer of the instrument will be unable to meet their obligations, thereby causing a default. From the highest to lowest default risk, the list would likely be:
Common stock in a company currently under federal investigation: This company has the highest default risk because the investigation could lead to penalties, disruptions in its business, or damage to its reputation.A municipal bond from a city with a population of 150,000: Though generally considered safe, these bonds can still go into default. The default risk here is lower than the stock under investigation because municipal bonds are backed by the taxes and revenue of the municipality, making them more stable than corporations which are dependent on their business performance.A preferred stock in a 150-year old firm with good business practices: This has the lowest default risk. Preferred stocks have a lower risk than common stocks because they receive dividends before common stock and have a higher claim on the assets in case of bankruptcy. The age of the firm and its good business practices also suggest stability and reduced risk. Learn more about Default Risk here:https://brainly.com/question/34906573
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whats 6.09 billion in scientific notation?
First Response gets brainliest!
Number 18 BTW!
Simplify
(4y^2-13y+3)/2y^2-5y-12 multiplied by
(2y^2+9y+9)/16y^2-1) Multiplied by
(Y^2+3y-28)/y^2-9)
Paige rides her bike around town. She can ride one half of a mile in 1 30 ith of an hour. If she continues to ride at the same pace, how many miles could she travel in 1 hour?
I can’t remember what distributive property is.
The distributive property is a special way where multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as:
a(b + c) = ab + ac.
Does this help in any way?
A school is constructing new tennis courts. Each rectangular court will be enclosed by a 600 ft fence. The length of the rectangular region will be 60 feet longer than the width. What are the dimensions of the new courts? Use an equation or a system of equations to explain how you determined your answer.
A pencil costs $0.30 and a pen costs $0.50. You buy 10 pencils and the total Is $7.50. How many pens did buy?
Find the slope of the line.
A.) -7/2
B.) -2/7
C.) 7/2
D.) 2/7
Factor out the coefficient of the variable 5/6s+4/6
Which of the following shows that polynomials are closed under subtraction when polynomial 3x2 + 4 is subtracted from x2+ 2x + 5?
−2x2 + 2x + 1 may or may not be a polynomial
2x2 − 2x − 1 will be a polynomial
−2x2 + 2x + 1 will be a polynomial
2x2 − 2x − 1 may or may not be a polynomial
How do you divide fractions
How I learned it is the same way as doing it normally
Lara solved an equation incorrectly, as shown below:
Step 1: 2x = 18
Step 2: x = 18 − 2
Step 3: x = 16
Which statement best explains why Step 2 is incorrect in Lara's solution?
A) She did not divide 18 by 2.
B)She did not add 2 to 18.
C)She did not multiply 18 by 2.
D) She did not multiply 18 two times.
We have been given the steps to solve the equation as
Step 1: 2x = 18
Step 2: x = 18 − 2
Step 3: x = 16
There is an error in step 2.
We have [tex]2x=18[/tex]
x is in multiplication with 2. So in order to get rid of 2 from the left hand side, we perform opposite operation of multiplication i.e. division.
So we must divide both sides by 2.
Therefore, A is the correct option.
A) She did not divide 18 by 2.
Write the product using exponents.
(−6)⋅(−6)
Answer:
(−6)²
Step-by-step explanation:
(−6)⋅(−6)
This means the numbers are being multiplied.
A number is being multiplied by the same number. You can write an exponent for the number of times it's being multiplied by itself.
Example:
x = x¹
x·x = x²
x·x·x = x³
You are multiplying (−6) twice.
(−6)⋅(−6) = (−6)²
Final answer:
To write the product using exponents for (-6)⋅(-6), we can use the rule that states when multiplying two numbers with the same base, we add the exponents. The product of (-6)⋅(-6) is 36.
Explanation:
To write the product using exponents for (-6)⋅(-6), we can use the rule that states when multiplying two numbers with the same base, we add the exponents. In this case, the base is -6, so the exponents are both 1.
The product can be written as (-6)^1⋅(-6)^1. Adding the exponents gives us (-6)^(1+1) = (-6)^2 = 36.
Therefore, the product of (-6)⋅(-6) is 36.
In circle O, BC=14 and DC=25. What is the length of diameter BA?
-58.6
-12.2
-44.6
-30.6
On a skiing trip there are five people but only three pairs of skis how many different groups of three could ski
As a wedding treat, a couple plans to order 600 candles. The choice they have for the color of the candles are silver, gold, white, or teal. The couple asks 50 random guests what color they would prefer, and the results of the survey are given in this table.
Based on the results, which
Interim Checkpoint:
Grade 7 Checkpoint 4 - Part 1
Assessment items
As a wedding treat, a couple plans to order 600 candles. The choice they have for the color of the candles are silver, gold, white, or teal. The couple asks 50 random guests what color they would prefer, and the results of the survey are given in this table.
Based on the results, which color should the couple order?
white
silver
gold
teal
Color
Frequency
Silver
18
Gold
19
White
7
Teal
6
color should the couple order?
Answer:
C. Gold
Step-by-step explanation:
We are given that,
The frequency table for the preference of different colors is given by,
Color Frequency
Silver 18
Gold 19
White 7
Teal 6
As we see that,
The table shows that out of 50 random people, most people preferred the color 'Gold' over any other color.
Hence, the couple should order 'Gold' colored candles.