Answer: d
Step-by-step explanation:
The probability of not being purple is the probability of the three other colors. Suppose the number of purple marbles is x. Then we have 20+30+40+x = 90 + x marbles. Then the probability of not being purple is 90/(90+x). If this fraction can have a lowest term for some value of x, then the numerator of this lowest term must be a factor of 90.
Checking through the options, only option D has a non-factor of 90 as its numerator.
The probability of randomly selecting a purple marble from the bag can be determined by dividing the number of purple marbles by the total number of marbles in the bag. Option a, 1/10, cannot be the correct probability value.
Explanation:In order to determine which probability value cannot be correct, we need to find the total number of marbles in the bag and subtract the number of white, black, and beige marbles from it. The remaining number will represent the number of purple marbles in the bag. Then, we can find the probability of randomly selecting a purple marble by dividing the number of purple marbles by the total number of marbles in the bag.
Total number of marbles = white + black + beige + purple = 20 + 30 + 40 + purple
Total number of marbles = 90 + purple
Now, we can check which of the given probability values cannot be correct:
Probability = 1/10 = purple/(90+purple) Probability = 1/5 = purple/(90+purple) Probability = 2/5 = purple/(90+purple) Probability = 7/15 = purple/(90+purple)
Let's solve each equation to find the value of purple:
purple = (1/10) * (90 + purple) purple = (1/5) * (90 + purple) purple = (2/5) * (90 + purple) purple = (7/15) * (90 + purple)
Solving these equations, we find that the probability values given in options b, c, and d are all possible probabilities. Therefore, the correct answer is option a, 1/10, which cannot be the probability of randomly selecting a purple marble from the bag.
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Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78. Her steps for finding the variance are shown below.
Variance squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction
Variance squared = StartFraction (9) squared minus (32) squared + (12) squared + 0 squared + (11) squared Over 5 EndFraction
Variance squared = StartFraction 81 minus 1,024 + 144 + 0 +121 Over 5 EndFraction
Variance squared = StartFraction negative 678 Over 5 EndFraction = negative 135.6
What is the first error Cara made in computing the variance?
Answer:
She put the negative sign for the 32 outside the parentheses
Step-by-step explanation:
in the formula the negitive is supposed to be inside the parentheses
The first error that Cara made was seen in the second step where she used "minus" (32) squared instead of "plus" (32).
What is Variance?Population variance (σ²) describes the way data points in a given population are distributed. It is the aggregate of the distances from each data set in the population towards the mean squared.
The population variance is a population parameter that is independent of research methodologies or sampling practices.
Mathematically, The correct calculation can be done by using the formula:
[tex]\mathbf{\sigma^2 = \dfrac{ \sum(x_i-\bar x)^2}{N}}[/tex]
[tex]\mathbf{\sigma^2 = \dfrac{ (87-78)^2 + (46-78)^2+ (90-78)^2+(78-78)^2+(89-78)^2}{5}}[/tex]
[tex]\mathbf{\sigma^2 = \dfrac{ (9)^2 + (-32)^2+ (12)^2+(0)^2+(11)^2}{5}}[/tex]
We can now see that the minus 32 is supposed to be in the bracket.
[tex]\mathbf{\sigma^2 = \dfrac{81+1024+ 44+0+121}{5}}[/tex]
[tex]\mathbf{\sigma^2 = \dfrac{1270}{5}}[/tex]
[tex]\mathbf{\sigma^2 = 254}[/tex]
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There are 227 performers in the Children's Parade. The performers are arranged in rows with 8 performers in each row. How many rows are needed for all the performers?
Explain your answer
Answer:
29 rows because if you do the math and divide 227 by 8 you will get 28 and a remainder so you would have to add an extra row
Jason and his friends went out to lunch .they ordered one cheeseburger and one soda for $5 how much dose one cheeseburger cost?how much dose one soda cost
Answer:
soda:3.75 burger: 1.25
Step-by-step explanation:
Maria and her sister each have a salad and drink for lunch at a restaurant. Salad cost $5.40 and drink cost $1.40. What was the total cost of the meal with a 20% tip?
Final answer:
Maria and her sister's meal total cost is $13.60 before tip. With a 20% tip of $2.72 added, the total meal cost becomes $16.32.
Explanation:
First, we need to calculate the total cost of Maria and her sister's meal before tip. Each salad costs $5.40 and each drink costs $1.40. Given they both had a salad and a drink, we calculate the cost for each person as $5.40 + $1.40 = $6.80. Thus, for both Maria and her sister, the total cost of the meal is $6.80 x 2 = $13.60.
To calculate the total cost including a 20% tip, we first need to work out the amount of the tip. A 20% tip can be calculated by converting the percentage to a decimal (0.20) and multiplying it by the meal cost. So, the tip amount is 0.20 x $13.60 = $2.72.
Finally, to find the total cost of the meal including a 20% tip, we add the tip to the original meal cost: $13.60 + $2.72 = $16.32. Therefore, the total cost of the meal with a 20% tip is $16.32.
The Gonzalez family has a combined monthly income of $1850. Their food budget is $ 380 per month. What percent of their monthly income is budgeted for food? (Round your answer to the nearest whole percent.)
Answer:
21 percent of their monthly income is budgeted for food.
Step-by-step explanation:
Given:
The Gonzalez family has a combined monthly income of $1850.
Their food budget is $380 per month.
Now, to find the percent of their monthly income is budgeted for food.
Total income = $1850.
Food budget = $380.
Now, to get the percent of the food budget:
[tex]\frac{380}{1850} \times 100[/tex]
[tex]=\frac{38000}{1850}[/tex]
[tex]=20.54\%.[/tex]
Thus, the percent nearest to whole = 21%.
Therefore, 21 percent of their monthly income is budgeted for food.
what is y when 8=2y-10x
Answer:
Y = 9
Step-by-step explanation:
2Y (with Y having a value of 9) would be equal to 2 x 9 which would give you 18
then you take the 18 and subtract 10x
which would give you 8x with the x not being relevant in your case (maybe)
To find the value of y in the equation 8 = 2y - 10x, rearrange the equation to isolate y. Divide both sides of the equation by 2, and the value of y is 4 + 5x.
Explanation:To find the value of y, we need to isolate it on one side of the equation. First, let's rearrange the equation by moving the term with x to the other side:
8 + 10x = 2y
Next, let's divide both sides of the equation by 2 to solve for y:
(8 + 10x) / 2 = y
4 + 5x = y
So, the value of y is 4 + 5x.
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Solve:
3 = -2v - V
V=
Answer:
V = −1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3=−2v−v
3=−2v+−v
3=(−2v+−v)(Combine Like Terms)
3=−3v
3=−3v
Step 2: Flip the equation.
−3v=3
Step 3: Divide both sides by -3.
−3v = 3
-3 -3
v=−1
Answer:
Subtract v from −2v.
Which equals −3v.
-3v = 3.
Step-by-step explanation:
v = -1.
-3 x -1 = 3.
3 = 3.
Therefore, v = -1.
What is the slope of the the line that goes through (4,3) and (8,5)
Formula to find the slope:
m = y2-y1 / x2-x1
(4,3); (8,5)
m= 5-3 / 8-4
m = 2/4
m = 1/2
Therefore, the slope of the line that passes through these points is 1/2
On a day in the month of February the temperature in Barrow Alaska is -21°F at the same time the temperature in Northway Alaska is -13°F write an inequality to and compare -21 and -13 which temperature is warmer
Answer:
-13 》-21
Step-by-step explanation:
The reason why is because -21 is further away from 0 than -13. Negative numbers are greater when they are closer to 0, and less when further away.
The inequality that compares these two temperatures is - 13°F > - 21°F so
Northway Alaska is warmer.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, On a day in the month of February the temperature in Barrow Alaska is -21°F at the same time the temperature in Northway Alaska is -13°F.
We know 21 > 13 but - 13 > - 23.
Therefore the inequality that compares the temperature is - 13°F > - 21°F.
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Average of -3,0,7,-2
Answer:
The average would be 0.5
Step-by-step explanation:
Answer: 0.5
Step-by-step explanation: To find the average, we begin by adding the numbers so we have -3 + 0 + 7 + -2 which is 2.
Now we divide 2 by the number of numbers in the data set which is 4.
2 divided by 4 is 0.5 so the average of these numbers is 0.5.
find the rate of change between the points (5, -4) and (-10, -20)
Answer:
-20+4=-16
-10-5=-15
=16/15
Final answer:
The rate of change between the points (5, -4) and (-10, -20) is found by calculating the slope, which is 16/15 or approximately 1.07.
Explanation:
To find the rate of change between two points, you can calculate the slope of the line that passes through them. The formula for the slope (Δy/Δx) is the difference in the y-coordinates divided by the difference in the x-coordinates of the two points.
Using the points (5, -4) and (-10, -20), we can substitute these into the slope formula:
Calculate the change in y (Δy): -20 - (-4) = -16.
Calculate the change in x (Δx): -10 - 5 = -15.
Divide the change in y by the change in x to find the slope: -16 / -15.
The slope of the line is therefore 16/15 or approximately 1.07.
a baker uses 40% more butter this month than last month if the baker used 210 kilograms of butter last month how much did it use this
Answer:
The amount of butter used by baker this month is 294 kilograms.
Step-by-step explanation:
The amount of butter used last month by the baker = 210 kilograms
Now, according to the question:
The amount of butter used this month
= Previous months's amount + 40% of previous month's usage
Calculating 40% of 210 kg:
[tex]\frac{40}{100} \times 210 = 84[/tex]
⇒40% of 210 kilograms = 84 kilograms
⇒ The amount of butter used this month
= 210 kg + 84 kg = 294 kg
Hence,the amount of butter used by baker this month is 294 kilograms.
The baker used 40% more butter this month than last month. To find this month's usage, calculate 40% of last month's usage (84 kilograms) and add it to last month's usage. The baker used 294 kilograms of butter this month.
Explanation:To answer this question, we can first calculate how much 40% of the butter used last month is. 40% of 210 kilograms is 84 kilograms. This is the amount of butter the baker used additionally this month than the previous month. If we add this to the amount of butter that was used last month (210 kilograms), we get the total amount of butter used this month. 210 kilograms + 84 kilograms = 294 kilograms. So the baker used 294 kilograms of butter this month.
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plz i need help it is due for the next 3 minute. I w.will mark brainliest to first and fast answer :
if the sum of two numbers is 10 and product is 24 find the numbers
Answer:
4 and 6
Step-by-step explanation:
4 + 6 = 10
4 x 6 = 24
Answer:
i have solved the question in the picture above. I used factorization to solve the quadratic equation I can also solve using quadratic formula or completing the square method if you want just comment below and I will solve it thank you
What is the value of
2x4 + 5x when x = 6?
Write the answer in simplest form: 3/11 − 1/5 a. 3/55 b. 1/8 c. 4/55 d. 26/55
Answer:
C) 4/55
Step-by-step explanation:
3/11-1/5=15/55-11/55=4/55
Mafalda has a save percentage of 0.7380 so far this hockey season. Last season, her save percentage was 0.5850.
How much has Mafalda's save percentage improved?
Mafalda's save percentage improved by 0.153.
Solution:
Given that, Mafalda has a save percentage of 0.7380 so far this hockey season
Last season, her save percentage was 0.5850
To find: Percentage improved
To find improvement in Mafalda's save percentage we will subtract last season's save percentage from this season's save percentage.
From given,
Last season save percentage = 0.5850
This season save percentage = 0.7380
Percentage improved = This season save percentage - Last season save percentage
[tex]Percentage\ Improved = 0.7380-0.5850\\\\Percentage\ Improved =0.153[/tex]
Thus Mafalda's save percentage improved by 0.153.
You need 850 points to get to level 4 in a video game how many points do you need in level 3 to reach your goal ?
QUESTION 10.2 Two mechanics worked on a car. The first mechanic charged $ 95 per hour, and the second mechanic charged $ 75 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $ 1800 . How long did each mechanic work?
Mechanic A worked for 15 hours and mechanic B worked for 5 hours.
Step-by-step explanation:
Given,
Per hour charges of mechanic A = $95
Per hour charges of mechanic B = $75
Total hours worked = 20
Total amount charged = $1800
Let,
x represent the number of hours of mechanic A
y represent the number of hours of mechanic B
According to given statement;
x+y=20 Eqn 1
95x+75y=1800 Eqn 2
Multiplying Eqn 1 by 95
[tex]95(x+y=20)\\95x+95y=1900\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](95x+95y)-(95x+75y)=1900-1800\\95x+95y-95x-75y=100\\20y=100[/tex]
Dividing both sides by 20
[tex]\frac{20y}{20}=\frac{100}{20}\\y=5[/tex]
Putting y=5 in Eqn 1
[tex]x+5=20\\x=20-5\\x=15[/tex]
Mechanic A worked for 15 hours and mechanic B worked for 5 hours.
Keywords: linear equation, elimination method
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The first mechanic worked for 15 hours while the second mechanic worked for 5 hours.
Let's denote the number of hours worked by the first mechanic as x and the number of hours worked by the second mechanic as y.
We know two things:
The total hours worked by both mechanics is 20:⇒ x + y = 20
The total charges for both mechanics is $1800:⇒ 95x + 75y = 1800
Using the first equation, we can express y in terms of x:⇒ y = 20 - x
Substitute this value of y into the second equation:⇒ 95x + 75(20 - x) = 1800
Distribute and combine like terms:⇒ 95x + 1500 - 75x = 1800
⇒ 20x + 1500 = 1800
⇒ 20x = 300
⇒ x = 15
So the first mechanic worked for 15 hours. To find the second mechanic's hours, substitute x back into y = 20 - x:⇒ y = 20 - 15 = 5
Thus, the second mechanic worked for 5 hours.
Complete question:
Two mechanics worked on a car. The first mechanic charged $95 per hour, and the second mechanic charged $75 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1800. How long did each mechanic work?
A theater rents there space for $300 per night. If the company charges $9 per ticket, then what is the least number of tickets that can be sold in order to make a profit?
Answer:
At least 33 number of tickets can be sold in order to make a profit.
Step-by-step explanation:
Given:
A theater rents there space for $300 per night.
The company charges $9 per ticket.
Now, to find the least number of tickets that can be sold in order to make a profit.
Amount of rent per night = $300.
Charges of per ticket = $9.
So, to get the least number of tickets sold to get the profit we divide amount of rent per night by charges per ticket:
[tex]300\div9[/tex]
[tex]=33.33[/tex]
Thus, 33 tickets price is 33 × 9 = $297.
Therefore, at least 33 tickets can be sold in order to make a profit.
Jonas earns $9 per hour as a lifeguard and $11 per hour as a swim instructor. Last week he worked a total of 40 hours at the pool, 10 of which were teaching swim lessons. Which expression and value show the total amount of money that he earned last week? 9 × 10 + 11 × 30; $420 9 × 10 + 11 × 30; $210 9 × 30 + 11 × 10; $419 9 × 30 + 11 × 10; $380
Answer:
The correct answer is D. 9 × 30 + 11 × 10; $380
Step-by-step explanation:
Let's write the correct equation to help Jonas to find out his earnings last week, this way:
Number of hours worked by Jonas last week = 40
Number of hours worked by Jonas last week as swim instructor = 10
Number of hours worked by Jonas last week as lifeguard = 30
Rate per hour as lifeguard = $ 9
Rate per hour as swim instructor = $ 11
Now, we can answer the question:
Total earnings last week = 30 * 9 + 10 * 11
Total earnings last week = 270 + 110 = $ 380
The correct answer is D. 9 × 30 + 11 × 10; $380
Answer:
The answer is D, short and simple.
E=6c^2−2c−1
F=−4c^2+7c+5
E+F=
Answer:
10c2 + 5c + 4
Step-by-step explanation:
Final answer:
To find the sum E + F, combine like polynomial terms: the result is 2c^2 + 5c + 4.
Explanation:
To find E + F, we need to perform polynomial addition by combining like terms. We're given that E = 6c² - 2c - 1 and F = -4c² + 7c + 5. Adding the coefficients of the terms with the same powers of c, we get:
For c² terms: 6c² + (-4c²) = 2c²For c terms: -2c + 7c = 5cFor the constant terms: -1 + 5 = 4Combining these results, we get: E + F = 2c² + 5c + 4
This polynomial represents the sum of the given polynomials, consolidating like terms to simplify the expression and facilitate further analysis.
RSM PROBLEM NEED HELP!!! If you add 10 grams of sugar into 30 grams of 20 % sugar syrup, you will make ____ grams of ____% sugar syrup. Thx!!
Answer:
40 grams of 40% sugar syrup
Step-by-step explanation:
It is 40g because you are adding 10g of sugar to 30g of syrup
It is 40 % syrup because you start out with 20% sugar in 30 g. That means the 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.
Make equation to find percent
16/40=x/100
x=40
If you add 10 grams of sugar into 30 grams of 20 % sugar syrup, you will make 40 grams of 40% sugar syrup
What is Sugar Syrup?A combination of sugar and water that is cooked over a low to medium heat setting, stirring contents until the sugar is fully dissolved and the mixture is clear. The mixture is then boiled for approximately one minute.
How to solve?
It is 40g because you are adding 10g of sugar to 30g of syrup
It is 40 % syrup because you start out with 20% sugar in 30 g. That means 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.
Make an equation to find the percentage;
16/40=x/100
x=40.
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15 is 13% of what number?
Answer: 1.95
Step-by-step explanation:
Multiply 15*13%
Answer:
Abswer is 1.95 thank you
Step-by-step explanation:
PLEASE HELP
NEED THIS SOOOOON
Answer: -12
Step-by-step explanation:
Evaluate expression -16 squared and write the result in form a + bi
Answer: -12 b
Step-by-step explanation:i know this is the right answer bc i did the math
The triangles shown are similar. What is the value of x?
Incomplete Question the complete question with the figure is below
The triangles shown are similar.
What is the value of x?
A. 12
B. 15
C. 20
D. 13
Answer:
The correct option is B. 15
Therefore the value of x is
[tex]x=15\ unit[/tex]
Step-by-step explanation:
Given:
AB = 5
BC = 3
AC = 4
PQ = x
QR = 9
RP = 12
ΔABC ~ ΔPQR
To Find:
x = ?
Solution:
ΔABC ~ ΔPQR .................Given
If two triangles are similar then their sides are in proportion.
[tex]\dfrac{AB}{PQ} =\dfrac{BC}{QR}=\dfrac{AC}{PR} \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]
Substituting the values we get
[tex]\dfrac{5}{x} =\dfrac{3}{9}\\\\x=\dfrac{45}{3}=15\ unit[/tex]
Therefore the value of x is
[tex]x=15\ unit[/tex]
Simplify 5+2(6y+3)+4x+y
Answer: 4 x + 13 y + 11
Step-by-step explanation:
Distribute:
=5+(2)(6y)+(2)(3)+4x+y
=5+12y+6+4x+y
Combine Like Terms:
=5+12y+6+4x+y
=(4x)+(12y+y)+(5+6)
=4x+13y+11
Answer:
=4x+13y+11
Solve this equation g-8=25
Answer:
Step-by-step explanation:
G-8=25
+8. +8
G= 33
What is the value of x + 3/4 when x=1/8
Answer: 7/8
Step-by-step explanation: This is a substitution problem, from the expression x + ³/₄, where x = ¹/₈, we now replace or substitute for x and then solve the expression fractionally, the expression now becomes
¹/₈ + ³/₄
Now , find the l. c. m. of the denominator 8 and 4
1 + 6
= _____
8
= 7/8
NOTE: To get 1 and 6, you find out how many times 8 can go in the l. c. m. and later multiplied the number of times by the numerator which = 1.
And the number of times 4 can go in the l. c. m. (8) which is 2 times then multiplied by the numerator (3) = 6.
Adding 1 and 6 together gives 7/8.
Does y = 3/4 x + 6 and y = -3/4 x + 5 have one solution
Answer:
yes
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{3}{4}[/tex] x + 6 → (1)
y = - [tex]\frac{3}{4}[/tex] x + 5 → (2)
Substitute y = [tex]\frac{3}{4}[/tex] x + 6 into (2)
[tex]\frac{3}{4}[/tex] x + 6 = - [tex]\frac{3}{4}[/tex] x + 5 ( add [tex]\frac{3}{4}[/tex] to both sides )
[tex]\frac{3}{2}[/tex] x + 6 = 5 ( subtract 6 from both sides )
[tex]\frac{3}{2}[/tex] x = - 1 ( divide both sides by [tex]\frac{3}{2}[/tex] )
x = [tex]\frac{-1}{\frac{3}{2} }[/tex] = - [tex]\frac{2}{3}[/tex] ← one solution