Answer:
Sample B: A random sample of 5 gallons of water from five different locations in the river
Step-by-step explanation:
Cassie has a total of 110 coins in her piggy bank. All the coins are quarters and dimes. The coins have a total value of $20.30. How many quarters and how many dimes are in the piggy bank?
Answer:
48 dimes and 62 quarters
Step-by-step explanation:
A club raised 80% of its goal for a charity. The club raised $1076. What was the goal?
Answer:
860.8
Step-by-step explanation:
30% of what number is 33?
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in his class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, he decides to convert the test scores into z scores relative to the mean and standard deviation of the students in the class. The mean test score in his upcoming class is 49, and the standard deviation is 20.7.
The following are the scores for some (not all) of her students.
Student Test Score Z- score
A 205 0.08
B 199 ______
C 266 1.68
D 222 ______
E 188 -0.37
F 172 ______
G 184 -0.47
H 215 ______
The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores.
For z = 2.00, test score = ____________
For z - -2.00, test score = ____________
Answer:
The answer is below
Step-by-step explanation:
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 202, and the standard deviation is 38.2. The following are the scores for some (not all) of her students. Complete the table using the dropdown menus. The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number. For z = 2.00, test score = .For z - -2.00, test score = .
Solution:
The z score is a used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Given that μ = 202, σ = 38.2
i) for student B, x = 199. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{199-202}{38.2}=-0.08\\[/tex]
ii) for student D, x = 222. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{222-202}{38.2}=-0.52\\[/tex]
iii) for student F, x = 172. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{172-202}{38.2}=-0.79\\[/tex]
iv) for student H, x = 215. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{215-202}{38.2}=0.34\\[/tex]
For z = 2.00, the test score x is:
[tex]z=\frac{x-\mu}{\sigma}\\\\ 2=\frac{x-202}{38.2}\\\\76.4=x-202\\\\x=278.4[/tex]
For z = -2.00, the test score x is:
[tex]z=\frac{x-\mu}{\sigma}\\\\ -2=\frac{x-202}{38.2}\\\\-76.4=x-202\\\\x=125.6[/tex]
A company produces two types of bicycles; mountain bikes and racing bikes. It takes 5 hours of assembly time and 4 hours of mechanical tuning to produce a mountain bike. It takes 10 hours of assembly time and 2 hours of mechanical tuning to produce a racing bike. The company has at most 23 hours of mechanical tuning labor per week and at most 152 hours of assembly labor per week. The company's profit is $40 for each mountain bike produced and $140 for each racing bike produced. The company wants to make as much money as possible. Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce. What are the constraints for this problem?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of mountain bikes they produce, and let y represent the number of racing bikes they produce.
It takes 4 hours of mechanical tuning to produce a mountain bike and 2 hours of mechanical tuning to produce a racing bike. The company has at most 23 hours of mechanical tuning labor per week. Therefore the constraint is:
4x + 2y ≤ 23 (1)
It takes 5 hours of assembly time to produce a mountain bike and 10 hours of assembly time to produce a racing bike. The company has at most 152 hours of mechanical tuning labor per week. Therefore the constraint is:
5x + 10y ≤ 152 (2)
Also, x, y ≥ 0 (3)
The company's profit is $40 for each mountain bike produced and $140 for each racing bike produced. The profit equation is:
Profit = 40x + 140y
Plotting the constraints equation 1 and equation 2 using geogebra online graphing tool. The solution are (0,0), (5,75, 0), (0, 11.5)
At (0,0); Profit = 40(0) + 140(0) = 0
At (5.75,0); Profit = 40(5.75) + 140(0) = 230
At (0,11.5); Profit = 40(0) + 140(11.5) = 1610
The maximum profit is at (0, 11.5)
Shade the number line to show 3/5 x 5/8
Answer:
15/40 = 3/8
Step-by-step explanation:
numerator x numerator & denominaror x denominaror
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
To shade the number line to show 3/5 x 5/8, we can first convert the fractions to decimals:
So,
3/5 = 0.6
5/8 = 0.625
Next,
We can multiply these decimals together to find the product:
= 0.6 x 0.625
= 0.375
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
If the number line extends from 0 to 1, with tick marks every 0.1, we can count over 3.75 tick marks from 0 and shade the point that corresponds to that location.
The shaded point should fall between 0.3 and 0.4 on the number line.
Thus,
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ2
In the triangle below,
x= [ ? ]°. Round to the nearest tenth. ANSWER ASAP!!!
Answer:
2
Step-by-step explanation:
Answer:
Your answer would be 2
Step-by-step explanation:
I would explain but its too hard
The attendance at a previous football game was 965
people. The attendance from today's game was 772 people.
What is the percent decrease?
Select one:
2%
193%
O
80%
20%
20%
Answer:
20%
Step-by-step explanation:
(If I am correct it's 20%! Hope this helps)
Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit, what will the temperature of the hot chocolate be after 3 minutes? (k = 0.12)
A 132.56 degrees
B 272.33 degrees
C 149.46degrees
D 241.54 degrees
Which is the measure of < B?
You go to the mall to buy a pair of shoes. The shoes are $45.00 and you have to add on 6% sales tax. How much is the total that you will pay?
Answer:
$47.70
Step-by-step explanation:
45 increase 6% =
45 × (1 + 6%) = 45 × (1 + 0.06) = 47.7
Diego is trying to lift a piano to the second floor of his house. Diego uses a pulley system and gives a big lift to the piano.The piano moves upward, then stops, and then it starts to fall to the ground. (The direction of the force of gravity is negative.)
Which list best describes the forces on the piano in the proper order?
positive force → balanced force → negative force
negative force → balanced force → positive force
positive force → unbalanced force → negative force
negative force → unbalanced force → positive force
Answer: positive force → balanced force → negative force
Step-by-step explanation: I just did it
Answer:
A
Step-by-step explanation:
edg
b) Two coins are tossed, find the probability that one head only is obtained.
what is 8/3y=5/6x-2 in standard form?
Answer:
6x + 3y = 3
I hope that this helps
Answer:
5x-16y=12
Step-by-step explanation:
Ax+By=C
FIND the LCD (6)
MULITPLY BOTH SIDES BY 6
6(8/3Y)=6(5/6X-2)
Consider the function f(x)=(x^4)/4. Find f'(x).
Answer:
f'(x)=x^3
Step-by-step explanation:
f'(x)=1/4(4x^3)
=x^3
Barbara has a part-time lawn-mowing job. The table below shows the amount of money Barbara earned for different numbers of hours of work:
Barbara's Earnings from Lawn Mowing
Number of Hours Worked Money Earned (dollars)
5 40
6 48
8
56
Part A: What are the missing numbers in the table? Show your work.
Part B: Barbara also works part time at a theme park. The ratio of the number of hours Barbara works at the park to the money she earns in dollars is 1:9. Create a table to show the money earned by Barbara for 5, 6, and 8 hours of work at the theme park.
Part C: How many more dollars does Barbara earn working at the theme park for 5 hours than mowing lawns for 5 hours? Show your work.
Answer:
Part A: 5-40
6-48
8-64
7-56
Part b:
1-9
5-45
6-54
8-72
Part c:
Theme park
5-45
Mowing lawns
5-40
$5
Step-by-step explanation:
Part A: 5x8=40
6x8=48
8x8=64
56/7=8
Part C: Every 5 hours working at the theme park she earns 45 dollars, when mowing lawns she earns 40 dollars 45-40 equal $5 extra dollars at the theme park.
t -1 = -5 Help me plz and thank you
Answer:
Step-by-step explanation:
if we already have a 1 and the answer is -5, we still don't know what T is. T is -6 because, -6 - 1 = -5
In a football league, 4 coaches are needed for every 38 players. If 84 players sign up for softball, how many coaches are needed?
My sister and I are buying a television for our room. Because I am older, I will pay $45 more than my sister. If the television costs $299, then how much does my sister have to pay.
Identify a set of parallel and a set of perpendicular lines in this image
Answer:
GHJKL
Step-by-step explanation:
VBNM,
A scale model of an object of 1 cm : 2 ft. The actual object is 11 feet tall. How tall is the model
Answer:
5.5 cm
Step-by-step explanation:
Find the product (6x² + 2x)(x²+4x)
Answer:
6x⁴ + 26x³ + 8x²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Step-by-step explanation:
Step 1: Define
(6x² + 2x)(x² + 4x)
Step 2: Expand
FOIL: 6x⁴ + 24x³ + 2x³ + 8x²Combine like terms: 6x⁴ + 26x³ + 8x²A local little league has a total of 75 players, of whom 80% are left-handed. How many left-handed players are there?
Pikuai answers~
===================
60 Players are left handed
===================
Hope this helped, have a great day~
what is the value of X in the equation 6X+3+4=1/2(9+10X)
Answer:
[tex]6x+3+4=\frac{1}{2}(9+10x)\\6x+7=\frac{9}{2}+5x\\x=-\frac{5}{2}[/tex]
Step-by-step explanation:
sana p mkatulong............
One tablet is labeled 124 milligrams and another is labeled 0.5 milligrams. What is the total dosage of these two tablets?
Answer:
together they are 124.5 milligrams
Step-by-step explanation:
together they are 124 + 0.5 = 124.5 milligrams
so alot of the text got cut off so im going to re wright the problem
An illusionist needs both female and male volunteers for a show he needs no more then 10 volunteers for a show the illusionist needs fewwr then 4 female volunteers let X represent the number of female volunteers and Y represent the number of male volunteers which inqualities model the situation select eatch correct answer
Answer:
A. x+y<10
B. x+y≤10
Step-by-step explanation:
A is correct because they can be less than.
B is correct because there is less than or equal too of numbers of volunteers.
C, D, and E cannot be correct however, because that means that they can be over at any number. Therefore, these three would be incorrect.
A certain cell phone advertises a mean battery life of 32 hours. Suppose the battery life of these phones follows a Normal distribution with standard deviation 2.5 hours. If 5 of these phones are randomly selected from the factory, then there is about a 95% probability that the sample mean will fall in which interval?
Find the z-table here.
7.5–56.5 hours
21.0–43.0 hours
27.1–36.9 hours
29.8–34.2 hours
31.0–33.0 hours
Answer:
29.8–34.2 hours
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
Mean of 32, standard deviation of 2.5.
Sample:
Sample of 5, so [tex]n = 5, s = \frac{2.5}{\sqrt{5}} = 1.1[/tex]
There is about a 95% probability that the sample mean will fall in which interval?
Within 2 standard deviations of the mean. So
32 - 2*1.1 = 32 - 2.2 = 29.8
32 + 2*1.1 = 32 + 2.2 = 34.2 hours
I need the answer because I thought it was 39 but was not sure if 39 was the answer
Answer:
I believe you are correct
Step-by-step explanation:
hope I am right
13.65 = h + 4.88 What the answer
Answer:
h = 8.77
Step-by-step explanation:
Isolate the variable, h. Note the equal sign, what you do to one side, you do to the other. Subtract 4.88 from both sides:
h + 4.88 = 13.65
h + 4.88 (-4.88) = 13.65 (-4.88)
h = 13.65 - 4.88
h = 8.77
8.77 is your answer for h.
~
The graph of y = -3x + 2 is
Answer:
X intercepts (2/3, 0) and Y intercepts (0,2)
Slope of -3x+2: m= -3
Step-by-step explanation: