Rachel has 2/3 pound of snack mix. She eats 5/12 of the snack mix.
How much of the snack mix did Rachel eat?
Enter your answer in the box as a fraction in simplest form.
pound
Basic
Answer:
[tex]\frac{5}{18} pound of snack mix is eaten by Rachel.[/tex]
Step-by-step explanation:
Given
Total snack mix with Rachel [tex]\frac{2}{3}[/tex] Pounds
Snack mix eaten by Rachel [tex]= \frac{5}{12}[/tex] of the total snack mix
[tex]\frac{5}{12}[/tex] of the total snack mix accounts for
[tex]\frac{5}{12} * \frac{2}{3} = \frac{5}{18}[/tex] Pound
Can someone solve this please
Answers:
11.) 0.25
12.) 3:20
13.) 0.75
14.) 19
Answer:
Question 11: 0.25
Question 12: 3:20
Question 13: 0.75
Question 14: 19
Suppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz):
15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10
On the basis of this data, can you conclude that the mean fill weight is actually less than 16 oz?
a. State the appropriate null and alternate hypotheses.
b. Compute the value of the test statistic.
c. Find the P-value and state your conclusion.
Answer:
H0: μ ≥ 16
H1: < 16
−2.748749;
0.011275;
Reject the Null
Step-by-step explanation:
Given the data:
15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10
Null hypothesis ; H0: μ ≥ 16
Alternative hypothesis ; H1: < 16
Sample size, n = 10
From the data:
Using calculator,
Sample mean, m = 15.887
Standard deviation, s = 0.13
The test statistic, T
(m - μ) / s/sqrt(n)
(15.887 - 16) / (0.13/sqrt(10))
= −2.748749
Using the p value from test statistic calculator :
Degree of freedom (df) = 10 - 1 = 9 at 0.05 significance level is 0.011275
Since the p value is < 0.05
0.011 < 0.05
We reject the Null and conclude that the mean fill weight is less than 16 oz
alex, Brittany, Charles, David, Eric and Felicia are six students sitting around a round table. David is to the right of Alex and Brittany is to the left of Charles. Felicia and David are opposite of each kther, as are Brittany and Eric. Who is sitting to the left of Felicia?
Answer:
Charles
Step-by-step explanation:
A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)
Answer: The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042
This outcome would warrant a replacement cup.
Step-by-step explanation:
Let x be a random variable that represents the temperature of hot chocolates.
GIven: Mean temperature = 175 degrees
standard deviation = 8.1 degrees
The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =[tex]P(x<161)[/tex]
[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{161-175}{8.1})\\\\=P(Z<-1.7284) [Z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<1.7284)\\\\=1-0.9580\\\\=0.042[/tex]
Hence, the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042 < 0.5 (unusual)
i.e. this outcome would warrant a replacement cup.
2x(x - 3) + 7(x - 3)
Can I have an explanation on how it works factors
Answer:
Step-by-step explanation:
2x(x - 3) + 7(x - 3)
2x^2 - 6x + 7x - 21
reduce
2x^2 + x - 21
if this is equal to 0 then:
2x^2 + x - 21 = 0
factored:
(2x + 7)(x - 3) = 0
How that was done:
Divide the (2x^2) into (2x) and (x).
Divide the (-21) into (+7) and (-3). You choose these numbers so that their sum, when multiplied by (2x) and (-3), adds up to (+x).
Most Popular Last Names. In alphabetical order, the six most common last names in the United States in 2018 are Brown, Garcia, Johnson, Jones, Smith, and Williams (United States Census Bureau website). Assume that a sample of 50 individuals with one of these last names provided the following data:
Brown Williams Williams Williams Brown
Smith Johnson Williams Smith Miller
Johnson Williams William Johnson Jones
Miller Jones Jones Smith Smith
Miller Johnson Smith Jones Jones
Johnson Smith Brown Smith Johnson
Jones Smith Smith Williams Brown
Johnson Johnson William Smith Brown
Smith Miller Johnson Brown Johnson
Brown Jones Miller Smith Miller
Summarize the data by constructing the following:
A. Relative and percent frequency distributions
B. A bar chart
C. A pie chart
D. Based on these data, what are the three most common last names?
Answer:
Kindly check attached picture for barchart and piechart distribution
Step-by-step explanation:
Given the name data:
Name ____ freq ___R/Freq ____% frequency
Brown ____7 ______0.14 ______14
Smith ____ 12 -____ 0.24 ______24
Williams__ 8 ______0.16 ______ 16
Miller ____6 ______0.12 ______ 12
Jones ___ 7 ______ 0.14 ______ 14
Johnson _ 10 _____ 0.20 ______20
The three most popular last names are :
Smith, Johnson and Miller
Based on the information given in the bar chart, it should be noted that the most popular last names are Smith, Johnson, and Williams.
Solving the bar chart.It should be noted that the information given in the question is used in solving the bar chart and pie chart.
The name with the least number of people is Miller. On the other hand, the most popular last names are Smith, Johnson, and Williams.
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What is this fraction shown above?
Answer:
1/3 because they have only colored on out of three, so the answer will be 1/3. Hope this helped!
Step-by-step explanation:
If f(x) = x3+ x2and g(x) = x4+ x2+ x, what is the value of f(x) –g(x) when x = 1?
A) -2
B) -1
C) 1
D) 5
Answer:
B) -1Step-by-step explanation:
[tex]f(x)=x^3+x^2\\\\g(x)=x^4+x^2+x[/tex]
METHOD 1[tex]f(x)-g(x)=(x^3+x^2)-(x^4+x^2+x)=x^3+x^2-x^4-x^2-x\\\\=-x^4+x^3-x\\\\x=1\\\\-1^4+1^3-1=-1+1-1=-1[/tex]
METHOD 2[tex]x=1\\\\f(1)=1^3+1^2=1+1=2\\\\g(1)=1^4+1^2+1=1+1+1=3\\\\f(1)-g(1)=2-3=-1[/tex]
I don’t know it help!
Answer: The answer is (4, 600)
Step-by-step explanation:
Never was given anything to help solve they just assume you know it
Answer: 0.4575
Step-by-step explanation:
.915/2
The sum of two numbers is 55. The large number is 13 more than the smaller number. What are the numbers?
Answer:
x = 34
y = 21
thus the two numbers are 34 and 21...
The smaller number is 21, and the larger number is 34 when the sum of two numbers is 55. The large number is 13 more than the smaller number.
Let's assume the smaller number is represented by x.
According to the given information, the larger number is 13 more than the smaller number. So, the larger number can be represented as (x + 13).
The sum of the two numbers is 55. We can set up the equation:
x + (x + 13) = 55
Simplifying the equation:
2x + 13 = 55
Subtracting 13 from both sides:
2x = 42
Dividing both sides by 2:
x = 21
Now that we have found the value of x (the smaller number), we can find the larger number by substituting it back into the expression (x + 13):
Larger number = x + 13 = 21 + 13 = 34
Therefore, the smaller number is 21, and the larger number is 34.
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A set of equations is given below:
Equation M: y = 3x + 4
Equation P: y = 3x + 7
Which of the following options is true about the solution to the given set of equations? (4 points)
Question 5 options:
1)
No solution
2)
One solution
3)
Two solutions
4)
Infinite solutions
Answer:
Step-by-step explanation:
No solution. Lines M and P have the same slope but different y-intercepts., so they are parallel lines.
Parallel lines don’t intersect each other, so there is no solution.
1/2x5/6, as a fraction, because my brain is not remembering rn
Answer:
5/12
Step-by-step explanation:
Given the function f(x) = [tex]\frac{|x|}{x}[/tex] , find [tex]\lim_{x \to \00^-} f(x) and \lim_{x \to \00^+} f(x) and \lim_{x \to \00} f(x)[/tex]
Answer:
[tex]\displaystyle \lim_{x \to 0^-} f(x) = -1 \\ \lim_{x \to 0^+} f(x) = 1 \\ \lim_{x \to 0} f(x) = DNE[/tex]
General Formulas and Concepts:
Algebra I
Graphing FunctionsFunction NotationCalculus
Limits
Evaluating Limits GraphicallyIf [tex]\displaystyle \lim_{x \to a^-} f(x) = \lim_{x \to a^+} f(x)[/tex], then [tex]\displaystyle \lim_{x \to a} f(x)[/tex] existsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \frac{|x|}{x}[/tex]
Step 2: Graph/Evaluate
Graph the function so we can evaluate the given limits. See attachment.
We see from the function that when we approach 0 from the left, we will get a -1.
∴ [tex]\displaystyle \lim_{x \to 0^-} f(x) = -1[/tex]
We see from the function that when we approach 0 from the right, we will get a 1.
∴ [tex]\displaystyle \lim_{x \to 0^+} f(x) = 1[/tex]
Since the limit from the left does not equal the limit from the right, the limit as x approaches 0 of f(x) does not exist (DNE).
Is 15/16 bigger than less than or equal to 1/2
Answer:15/16 > 1/2
Step-by-step explanation:
Answer:
15/16 is greaterStep-by-step explanation:
There were 70 wings at the Super Bowl party. I ate 14. What percent of the wings did I devour?
Answer: omg yes I ate like 10 wings last night. Your answer should be 20
Step-by-step explanation:
Kamala has 2 liter of soup. he pours it into 4 bowls. each bowl gets an equal amount. how many millilitres of soup are in each bowl?
Answer:
500ml
Step-by-step explanation:
[tex]2000 \div 4 = 500[/tex]
Answer:
500 ml
Step-by-step explanation:
2 litres= 2000 millilitres divided into 4 bowls=2000÷4=500 millilitres
ILL GIVE BRAINLIEST! PLEASE ANSWER IF YOU SEE THIS!!! David has a container filled with quarters and nickels. He has 29 coins which add up to $5.85. How many quarters does he have?
WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
The perimeter of a triangle is 63 in. The longest side is 12 in. longer than the medium side, and the medium side is 6 in. more than the shortest side. Find the length of each side of the triangle?
1. longest side is?
2. medium side is?
3. shortest side is?
Answer:
1.13
2.19
3.31
Step-by-step explanation:
Let the length of the shortest side be a.
a+a+6+a+6+12=63
3a=39
a=13
What’s the side length of x2+4x+4
Answer:
(x+2)^2
Step-by-step explanation:
Sheila rolled a number cube numbered 1 through 6 and tossed a coin for heads, H, or tails, T.
Which list represents all the possible outcomes of rolling the numbercube and tossing the
coin?
Write a classification essay to describe two types of animal flight
One of the two basic types of animal locomotion: powered flight, actual flight, or gliding. Real wings are only found in most bird species, most insect orders, and bats.
What are the categories?A category listing is a list of various product categories, such as children's clothing, women's clothing, and men's clothing. Any form of a category can be simply created
Soaring and gravitational gliding are two distinct types of gliding flight.
In controlled gravitational gliding, a creature propels itself in a precise direction after delaying its descent and relying on the wind for horizontal motion (parachuting).
Adaptations for guided gliding are primarily made to increase glide ratio (the amount of horizontal distance covered per unit descent)
Therefore, powered flight or true flight are the two basic categories of animal locomotion.
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Use the drop down menus to complete the statement to match the information shown by the graph
Answer:
yes ikow
Step-by-step explanation:
you can do that if you want to buy
Answer:
where the graph?
Step-by-step explanation:
The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations,
how far does the bike travel?
what is the area of this tile?
10in
8in
6in
Answer: I can give you the volume: 480. But to find the area I need more context to know which are the length and width.
x² + 4 = 55
What is x
Answer:
7.1414284285
answer...
what’s the y-intercept? i found the slope already.
Answer:
3.5
Step-by-step explanation:
3.5 is the y-intercept because the point is (0,3.5). This is where it intercepts with the y-axis.
Hope it helps!
Brianna measured the length of the cafeteria table in inches. She measured the same table in feet. Which unit would Brianna need more of to measure the length of the table? feet or inches and why?
A. She will need more inches than feet since feet are larger.
B. She will need more inches than feet since inches are larger.
C. She will need need more feet than inches since feet are smaller.
D. She will need the same number of inches and feet since they are the same size.
Answer:
A .she will need more inches than feet because feet are larger
Step-by-step explanation:
Solve the system of linear equations by elimination. 8x-5y=11 4x-3y=5
Answer:
(x,y)= ( 5 over 273, - 265 over 273)
Step-by-step explanation:
After solving the obtained equation with the elimination method the obtained value of x and y will be 2 and 1 respectively.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that,
8x-5y=11 ------ (1)
4x-3y=5 --------- (2)
In order to solve the above equation with the elimination method, we have to apply the multiplicative distribution law as,
Multiply by 2 in equation 2
2(4x-3y=5)
8x- 6y = 10 ----- (3)
Subtract equation 3 from equation 1,
(8x- 6y)-(8x-5y) = 10 - 11
8x-8x-6y+5y = -1
-y = -1
y=1
Substitute the value of y in any of the equations 1 to get the value of x
8x-5y=11
8x-5(1)=11
8x-5=11
8x=16
x=2
Thus, after solving the obtained equation with the elimination method the obtained value of x and y will be 2 and 1 respectively.
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