Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work. (10 points)
MARKING BRINLIEST AND GIVING A LOT OF POINTS PLSSSS HELP
The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.
Total number of Outfit Combinations:
There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.
No of favourable options:
As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .
Probability = Number of favourable outcomes/Total no. of combinations
Probability = 1/8
Probability = 0.125 or 12.5%
Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
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Pls help I’ll mark brainliest!!
Answer:
Answer is explained in the photo
Latoya Abdul and dale sent a total of 88 text messages over their cell phones during the weekend Latoya sent 8 more messages than Abdul.Dale sent 4 times as many messages as Latoya how many messages did they each send?
Answer:
Abdul - 8 messages
Latoya - 16 messages
Dale - 64 messages
Total - 88 messages
Step-by-step explanation:
A: (x)
L: (A + 8)
D: (L* 4)
A: 8 = 8
L: 8 + 8 = 16
D: 16 * 4 = 64
8 + 16 + 64 = 88
Hope this helps!
simplify; 3 4/5 - 2 1/4
A. 11/20
B. 1 1/3
C. 1 11/20
D. 1 5/9
Answer:
The choice C.
\(1 \frac{11}{20} \)
Step-by-step explanation:
\(3 \frac{4}{5} - 2 \frac{1}{4} \\ \\ \frac{19}{5} - \frac{9}{4} \\ \\ \frac{76}{20} - \frac{45}{20} = \frac{31}{20} = 1 \frac{11}{20} \)
y>= -5x + 8 what is m?
Answer:
The slope = -5
Step-by-step explanation:
y ≥ -5x + 8
Look at the problem as y = -5x + 8 and compare to the slope intercept form. The slope = -5
Owen and Arianna are helping their friend Benjamin move. Owen can move one box for every two boxes that Arianna can move. If Owen moves twelve boxes, how many boxes can Arianna move?
Answer:
Ariana can move 24 boxes. Hope this helps.
Pls give brainliest. :D
The circle graph shows how the money will be spent for the party.
Food: 30%
Drinks: 20%
Prizes and favors: 35%
Paper productions: 15%
The class has $300 for a party.
How much will be spent on party favors and prizes?
A: $35.00
B: $105.00
C: $195.00
D: $265.00
Answer:
B. $105.00
Hope this helps!
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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A company produced in the first quarter 6,905 pieces in the second quarter the same company produced 795 pieces more than in the first quarter under these conditions how many pieces did the company produce in the first semester?
Answer: 14,605 pieces.
Step-by-step explanation:
In the second quarter, the company produced 795 pieces more than in the first quarter.
So, the total pieces produced in the second quarter can be calculated as:
6905 + 795 = 7700
The total pieces produced in the first semester (two quarters) can be calculated as:
6905 + 7700 = 14,605
Therefore, the company produced 14,605 pieces in the first semester.
The number of pieces the company produced in the first semester was 14,605 pieces.
How many?The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.
In the first quarter, the company produced 6,905 pieces, as indicated in the question.
Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:
6,905 + 795 = 7,700 pieces.
To know the company's total production in the first semester, just add the productions of the two quarters:
6,905 + 7,700 = 14,605 pieces
Use the number line to answer the question below:
<—A——————-B————C—->
If AB = 7x - 24 and BC = 6x - 2, what is the value of AC?
a. 13x - 22
C. 13x - 26
b. 33
d. 46
Work Shown:
AC = AB + BC
AC = (7x-24) + (6x - 2)
AC = (7x+6x) + (-24-2)
AC = 13x - 26
This works because segment AC is split up into two parts AB and BC which don't overlap. Refer to the segment addition postulate.
PLSSS HELP ME 14 POINTS
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
Vertically compressed by a factor of 9Shifted down by 2Read more about transformation at
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Put the following equation of a line into slope-intercept form, simplifying all fractions.
4y−6x=24
Answer:
\(y = \frac{3}{2}x + 6\)
Step-by-step explanation:
Rearranging the equation:
\(4y = 6x + 24\)
The coefficient of y has to be '+1' for the above equation to be considered as the slope-intercept form.
Dividing both sides of the equation by '4':
\(\frac{4}{4}y = \frac{1}{4}(6x + 24)\)
Expand the brackets by applying the Distributive Law:
\(\frac{4}{4}y = \frac{6}{4}x + \frac{24}{4}\)
\(y = \frac{6}{4}x + 6\)
Divide the numerator and the denominator present in the coefficient of x by the Highest Common Factor '2':
\(y = \frac{3}{2}x + 6\)
A biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road. How much more does he need to travel? (distance)
The biker needs to travel 45 km more to complete his journey.
Given that, a biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road, we need to find how much he need to cover more,
Let the total distance of the road be x,
So,
2x/5 - 5 = 3x/8
2x/5 - 3x/8 = 5
Solving for x,
Multiply by 40 to both sides,
16x-15x = 200
x = 200
Therefore, the total distance of the road is 200 km.
Since, he travelled =
200 (2/5) = 80 km + 200 (3/8) = 75 km = 155 km
Therefore, he needs to travel 200-155 = 45 km more.
Hence, the biker needs to travel 45 km more to complete his journey.
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Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 70 feet?
Group of answer choices
439.6 feet
3846.5 feet
109.9 feet
1758.4 feet
The Distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.
The distance the handler will move from the starting point to the return point when creating an arc of a circle with a radius of 70 feet, we need to find the length of the arc.
The formula to calculate the length of an arc is given by:
Length of arc = (θ/360) * 2πr
Where:
θ is the central angle of the arc (in degrees)
r is the radius of the circle
In this case, since the handler is creating a full circle, the central angle is 360 degrees.
Length of arc = (360/360) * 2π * 70
Length of arc = (1) * 2π * 70
Length of arc = 2π * 70
Length of arc = 140π
To find the approximate value in feet, we can use the approximation π ≈ 3.14159.
Length of arc ≈ 140 * 3.14159
Length of arc ≈ 439.8204 feet
Therefore, based on the given theory and using a circle with a radius of 70 feet, the distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.
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Which expression is equivalent to -3(2x - 8) + 4x?
Answer:
- 2x + 24
Step-by-step explanation:
- 3(2x - 8) + 4x ← distribute parenthesis by - 3
= - 6x + 24 + 4x ← collect like terms
= - 2x + 24 or 24 - 2x
Hey there!
-3(2x - 8) + 4x
DISTRIBUTE -3 within the parentheses
= -3(2x) - 3(-8) + 4x
= -6x + 24 + 4x
COMBINE the LIKE TERMS
= (-6x + 4x) + (24)
= -6x + 4x + 24
= -2x + 24
Therefore, your answer should be:
-2x + 24
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
solve the system of equation for y using cramer's rule. hint: the determinant of the coefficient matrix is 4.
Cramer's rule states that the solution to a system of equations can be determined by taking the determinant of the coefficient matrix, which in this case is 4, and then dividing each equation's determinant of the corresponding matrix by the determinant of the coefficient matrix. This allows us to solve for the variable y.
Cramer's Rule is a method used to solve systems of linear equations. It states that the solution to a system of equations can be determined by taking the determinant of the coefficient matrix and then dividing each equation's determinant of the corresponding matrix by the determinant of the coefficient matrix. This gives us the solution for the variable y. To calculate the determinant of the coefficient matrix, we take the product of the diagonal elements and subtract the product of the elements that are not on the diagonal The determinant is calculated by taking the product of a and d, and then subtracting the product of b and c. Once we have the determinant of the coefficient matrix, we can calculate the determinants of each equation's corresponding matrix by replacing the y in the equation with 1 and the other coefficients with the original coefficients of the equation. We then divide each equation's determinant by the determinant of the coefficient matrix to solve for y. This method is useful as it allows us to solve a system of equations with multiple variables in a quick and efficient manner.
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The average and geometric mean of two numbers is 10 and 8. Find the two numbers.
Answer:
If AM and GM of two positive numbers a and b are 10 and 8 respectively, find the numbers. Given AM = 10, GM = 8. ⇒ If b = 16 then a = 4. Hence, the numbers are 4 and 16.
Step-by-step explanation:
HELP ASAP MARKING BRAINLY You want to plant a flower garden in your yard so that you can make a beautiful bouquet to put on the alter at church for Easter Sunday services. There are two types of flowers that you are going to be planting. You will be planting some tulips and daffodils. At the store tulips come in packs of 6 and daffodils come in packs of 8.
What is the least amount of packs of daffodils and tulips you would need to buy to have the same amount of each?
How many should you have of each kind of flower?
Each pack of tulips costs $4.50 and each pack of daffodils cost $5.75. From the previous problem, you know how many packs of each you will need. The sales tax is 6.5%.
How much tax will you be paying for all the flowers, to the nearest cent?
How much total will you be paying for all flowers, to the nearest cent?
You remember that you have a discount coupon for $2.75 off before tax.
How much did the flowers cost with the discount including tax (Round to the nearest penny)?
How much money did you save with the coupon including tax?
When you get home to plant the flowers, you have 3 different flowerbeds in which you plan on planting flowers. You have two flowerbeds where you want the same ratio for tulips to daffodils. In one of these flowerbeds you have 6 tulips and 8 daffodils. The other flowerbed you have 4 daffodils.
How many tulips should there be in the second flowerbed to have the same ratio of tulips and daffodils as the first flowerbed?
How many total daffodils are used in these two flowerbeds?
How many total tulips are to be used in these two flowerbeds?
How many of each do we have left to use in the remaining flowerbed?
The flowers are supposed to get 1.5 cups of water per plant. You have a 3-quart water pail.
How many flowers can you water before having to go back to fill up your pail?
After a few days 1/4 of all your tulips and 1/2 of all your daffodils died.
How many tulips and how many daffodils do you need to purchase of each kind of plant to replace the flowers that died?
Next year you want to have 7 more than double the amount of plants you had this year.
How many total plants should you have for next year?
Flowers need nourishment to grow such as sunlight and water. As a Christian, we also need nourishment to grow in our relationship with Christ. What are some ways we as Christians gain nourishment that helps us grow closer to Christ? Include a Bible verse to support your answer. Use at least 2-3 complete sentences for your answer.
Answer:
1. 3 packs of daffodils and 4 packs of tulips
2. then you would have 24 of each
3. $2.29
4. $37.54
5. $34.61
6.$2.93 was saved
7. 3 tulips
8. 12 daffodils
9. 9 tulips
10. 12 daffodils and 15 tulips
theres 3 left. ill let someone else do it
Step-by-step explanation:
3. 4.50*4=18 5.75*3=17.25
18+17.25 -> 35.25*.065=2.29 rounded
4. 35.25+2.29=37.54
5. 35.25-2.75->32.50*.065=2.11 2.11+32.50=34.61
6. 37.54-34.61=2.93
7. 6:8 -> 3:4 ratio -> 3:4
8. 8+4=12
9. 6+3=9
10. 24-12=12 24-9=15
1. 3 packs of daffodils and 4 packs of tulips
2. Then you would have 24 of each
3. $2.29
4. $37.54
5. $34.61
6.$2.93 was saved
7. 3 tulips
8. 12 daffodils
9. 9 tulips
10. 12 daffodils and 15 tulips
What is multiplication?Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.
Given
3. 4.50*4=18
5.75*3=17.25
18+17.25 -> 35.25*.065=2.29 rounded
4. 35.25+2.29=37.54
5. 35.25-2.75->32.50*.065=2.11
2.11+32.50=34.61
6. 37.54-34.61=2.93
7. 6:8 -> 3:4 ratio -> 3:4
8. 8+4=12
9. 6+3=9
10. 24-12=12
24-9=15
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two rectangular prisms, m and n, are mathematically similar. The volumes of m and n are 17cm^3 and 136cm^3, respectively. The height of N is 18 cm. Find the corresponding height of m.
The corresponding height of similar rectangular prism m is 9 centimeter.
Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.
If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.
The height of n is 18 cm.
Here, m³/n³ = 17/136
m³/18³ = 17/136
m³/18³ = 17/136
(m/18)³ = 1/8
(m/18)³ = (1/2)³
m/18 = 1/2
m=9 cm
Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.
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Thời gian để sản xuất một sản phẩm loại A là một BNN tuân theo luật phân phối chuẩn với các tham số m = 15 và s= 2 (đơn vị là phút). Tính khoảng thời gian cần thiết để sản xuất một sản phẩm loại A bất kỳ
Answer:
A= -u²n²t²s²arme²
Step-by-step explanation:
Evaluate m, then set it equal to 15.
=15
Evaluate s, the set it equal to 2.
=2
Simplify unitsareminutes.
−u²n²t²s²arme²
List all the solutions.
BN•N=BN²
m=15 ==15
s=2 2==2
Consider all four-digit numbers that can be made from the digits 0-8 (assume that numbers cannot start with 0). What is the probability of choosing a random number from this group that is greater than 7000
Answer:
0.2498
Step-by-step explanation:
Number of 4 digit numbers that can be formed from the digit (0 - 8), assume number can't start from 0
Thus ;
First digit = (1, 2, 3, 4, 5, 6, 7, 8) = 8 ways
Next three digits = (0, 1, 2, 3, 4, 5, 6, 7, 8) = 9 ways
Hence,
Total possible outcomes = sample space = (8 * 9 * 9 * 9) = (8 * 9^3 ) = 8 * 729 = 5832
Required = number greater Than 7000
For number to be greater Than 7000, starting digit should be either 7 or 8
Hence,
First digit = 2 ways
Next three digits = 9 ways
Also excluding 7000
Hence, Number of digits above 7000;
2 * 9^3 = 2 * 729 = 1458 - 1 = 1457
Hence,
Probability = 1457 / 5832
= 0.2498285
= 0.2498
Tim's mom filled the gas tank in her SUV and spent $72.00 for 22.5 gallons of unleaded gasoline. What is the constant of proportionality that relates the cost in dollars, y, to the number of gallons of unleaded gasoline, x?
Answer:
3.20 gallons
Step-by-step explanation:
Mr. Garza had 178 pencils in a storage room. He put 46 more boxes of pencils in the storage room. Each box contained 12 pencils. Which of these is the best estimate of the number of pencils Mr. Garza now has in his storage room?
Answer: 730
Step-by-step explanation:
46x12+178= 730
FIRST GET BRAINIEST PERIODTT TYSMMSMSMMSM
height: 6-2=4 units
length: 9-3=6 units
4×6=24
-> 24 units
solve it and show full calculus.
thank you!
Answer:
Hi
Please mark brainliest ❣️
Thanks
Step-by-step explanation:
The answer is NO
Reason
x= 2 y= 1
Now input in the first inequality
y≤ -x + 4
1 ≤ -2 +4
1≤ 2 i.e 1 is less than two
Next inequality
y≤ x +1
1 ≤ 2 + 1
1≤ 3 i.e 1 is less than 3
But 1 is not equal to 3 and also not equal to 2
Hence our answer is NO
Q1 Logarithmic Functions
An initial amount of $1200 is invested into an account earning 4.25% interest compounded annually.
Q1.1 Part a)
Write the equation for the amount of money in the account after t years. Hint: "compounded annually" means that the money will be compounded one time per year.
Q1.2 Part b)
How long will it be until the amount of money in the account reaches $3000 (use a logarithm to find the exact amount of time, and then round your answer to 2 decimal places)?
Q2 Logarithmic Functions
According to the CDC, the relationship between the median weight of a female child and the age of a female child (from 0 to 36 months) can be modeled approximately by W=7.5+5.9ln(M+1), where
M is the age in months and W is the median weight in pounds.
Q2.1
Graph this function in an appropriate window. Make sure to label axes, scale, and all important features of the graph.
Q2.2
Determine W ^−1(28). What does this mean in the given context?
This means that the median weight of a female child at 31.48 months is 28 pounds (approximately) base on logarithmic function.
Logarithmic function calculation.
Q1.1: The equation for the amount of money in the account after t years, compounded annually, can be given by:
A = P(1 + r/100)^t
where A is the amount of money in the account after t years, P is the principal amount invested, r is the annual interest rate, and t is the number of years.
Plugging in the values given in the problem, we get:
A = 1200(1 + 4.25/100)^t
Q1.2: We need to solve for t in the equation:
3000 = 1200(1 + 4.25/100)^t
Dividing both sides by 1200, we get:
2.5 = (1 + 4.25/100)^t
Taking the natural logarithm of both sides, we get:
ln 2.5 = t ln (1 + 4.25/100)
Solving for t, we get:
t = ln 2.5 / ln (1 + 4.25/100) ≈ 15.91 years
So, it will take approximately 15.91 years for the amount of money in the account to reach $3000.
Q2.1: To graph the function W = 7.5 + 5.9 ln(M + 1), we can use a graphing calculator or software. Here is a possible graph:
Graph of W = 7.5 + 5.9 ln(M + 1)
Q2.2: To find W ^−1(28), we need to solve the equation:
28 = 7.5 + 5.9 ln(M + 1)
Subtracting 7.5 from both sides, we get:
20.5 = 5.9 ln(M + 1)
Dividing both sides by 5.9, we get:
ln(M + 1) ≈ 3.474576
Taking the inverse logarithm of both sides, we get:
M + 1 ≈ e^3.474576
M ≈ e^3.474576 - 1 ≈ 31.48 months
So, W ^−1(28) ≈ 31.48 months. This means that the median weight of a female child at 31.48 months is 28 pounds (approximately).
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What is the area of a circle with a diameter of 36 millimeters
Answer:A≈1017.88
Step-by-step explanation:
Answer:
A = 1017.88
Step-by-step explanation:
srry if its wrong ;-;
fling
Find the slope of the line passing through the points (1,5) and (4,-2).
Part a:Cell phone usage grew about 23% each year from 2010 to 2016. If cell phone usage in 2010 was 43 million, write a function f(x) to model U.S. cell phone usage over that time period, where x is the number of years since 2010.
Part b estimate the cell phone usage in 2013.round to the nearest ten thousand.
Answer:
The function f(x) to model U. S. cell phone usage over the time period of 2010 to 2016 can be expressed as f(x) = 43 * (1.23^x), where x is the number of years since 2010. Part b: The estimated cell phone usage in 2013 can be calculated by substituting x = 3 into the function f(x) = 43 * (1.23^x). This yields an estimated cell phone usage of 68.4 million in 2013, which can be rounded to the nearest ten thousand to 68 million.
Step-by-step explanation:
The equations of three lines are given below.
Line 1: -3y = 5x + 6
Line 2: 10x - 6y=-4
3
Line 3: y=-=x+3
5
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2:
Parallel O Perpendicular ONeither
x
3
?
Line 1 and Line 3:
Parallel Perpendicular
Neither
Line 2 and Line 3: Parallel Perpendicular Neither
I Don't Know
Submit
Submit
2020 M
Answer:
line 1&2 are neither
line 1&3 are also neither
lines 2 and 3 however are perpendicular since they make 90 degree angles when they meet.
Step-by-step explanation:
Step-by-step explanation:
Hey there!
Here, The equations are;
-3y=5x+6
5x+3y+6=0.........(i)
10x-6y+4 =0......(ii)
y= -3/5x+3.......(iii)
From equation (i).
\(slope(m1) = \frac{ - coeff. \: ofx}{coeff. \: of \: y} \)
Put all values.
\(m1 = \frac{ - 5}{3} \)
Now, from equation (ii).
\(m2 = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} \)
Put all values.
\(m2 = \frac{ - 10 }{ - 6} \)
\(m2 = \frac{5}{3} \)
As m1 is not equal to m2 it is not parallel lines.
For perpendicular lines;
m1×m2= -1.
\( \frac{ - 5}{3} \times \frac{5}{3} \)
After simplifying it we get -25/9 which is not equal to-1. So, it is not perpendicular lines.
Therefore, the lines are neither parallel nor perpendicular.
But the lines of equation (ii) and (iii) are perpendicular to eachother.
-3/5×5/3= -1
[ so, the line (ii) and (iii) are perpendicular to eachother but others are neither]
Hope it helps...