Answer:
16 pints
Step-by-step explanation:
A high school math class has 28 students: 18 seniors and 10 juniors. What is the probability that four randomly selected students will be seniors?
Answer:
18/28, or percentage wise, approximately 64.2%
Step-by-step explanation:
Take the seniors and divide it by the total # of students, and you got your probability!
The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?
a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000
Answer:
The standard error of the mean is 0.02
Step-by-step explanation:
Here, we want to calculate the standard error of the mean.
Mathematically;
standard error of mean = SD/ √n
where SD is the standard deviation and n is the number of samples
From the question, SD = 0.22 and n = 121
Inserting this into the equation
Standard error of the mean = 0.22/√121
= 0.22/11 = 0.02
The probability of obtaining a sample mean is "0.9545".
According to the question,
Mean,
[tex]\mu = 4[/tex]
Standard deviation,
[tex]\sigma = 0.22[/tex]
Random sample,
[tex]n = 121[/tex]
By Central limit theorem,
→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]
[tex]= 0.2[/tex]
Now,
→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]
[tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]
[tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]
[tex]= 0.9545[/tex]
Thus the above response i.e., "option a" is appropriate.
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Suppose that you draw one card from a well-shuffled deck of 52 playing cards. What is the probability that the card that you draw is a black 7 or a black 8
The probability that the card that you draw is a black 7 or a black 8 is 1/13
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
So, the probability that the card that you draw is a black 7 = 4/52
So, the probability that the card that you draw is a black 8 = 2/26
Therefore,
the probability that the card that you draw is a black 7 or a black 8 = 4/52 - 2/26 = 1/13
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2. The table shows distance, y, that Mario runs in x minutes.
Mario’s Running Speed
Time,
(min) Distance,
(mi)
7 1
21 3
35 5
(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.
(b) What is the rate of change for this linear relationship? Show your work.
(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.
Answer:
Equation: y = ⅐x
Rate of change: ⅐
Distance = 10 miles
Step-by-step explanation:
Given
The information in the above table
Solving (a): The equation
To get the equation, we need to first calculate the slope (m)
Take any two corresponding values of x and y
(x1,y1) = (7,1)
(x2,y2) = (21,3)
m = (y2 - y1)/(x2 - x1)
m = (3 - 1)/(21 - 7)
m = 2/14
m = ⅐
The equation is calculated using
y - y1 = m(x - x1)
Substitute values for m, x1 and y1
y - 1 = ⅐(x - 7)
y - 1 = ⅐x - 1
Add 1 to both sides
y = ⅐x
Solving (b) Rate of change:
The calculated slope in (a) above represents the rate of change.
So:
Rate of change = Slope = ⅐
Solving (c): Distance when time is 70 minutes
This implies that x = 70
Substitute 70 for x in y = ⅐x
y = ⅐ * 70
y = 10 miles
What is the domain of the relation graphed below? There are 6 points on a coordinate plane. The points are (negative 5, 0), (negative 4, 1), (negative 3, 4), (1, negative 2), (2, 4), (5, negative 3).
Answer:
3
Step-by-step explanation:
What is An equivalent fraction to 1/6
Answer:
2/12
Step-by-step explanation:
Find the slope of each graph. Express the answer in simplest form.Can you please show me a graph you answer
Answer:
[tex]m=\frac{3}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-4, -2)
Point (0, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4+2}{0+4}[/tex]Add: [tex]m=\frac{6}{4}[/tex]Simplify: [tex]m=\frac{3}{2}[/tex]And we have our final answer!
Apply the distributive property to the expression to write an equivalent expression. 5x + 35 Complete the statements. Find the GCF of . Now, factor out the GCF by dividing each term in the expression by . 5x divided by the GCF is , and 35 divided by the GCF is . The equivalent expression is .
Answer:
Apply the distributive property to the expression to write an equivalent expression.
5x + 35
Complete the statements.
Find the GCF of
✔ 5x and 35
.
Now, factor out the GCF by dividing each term in the expression by
✔ 5
.
5x divided by the GCF is
✔ x
, and 35 divided by the GCF is
✔ 7
.
The equivalent expression is
✔ 5(x + 7)
.
The equivalent expression is 5(x + 7).
Calculation of the equivalent expression;Here we need to apply the distributive property
The equation is 5x + 35
Now we have to determine the GCF by dividing the 5
So, it comes 5(x + 7).
Hence, we can conclude that The equivalent expression is 5(x + 7).
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.
(1) Interpret the correlation r = 0.2. What all does it tell you about a bivariate data set? *
Answer:
a correlation of r = -0.2 suggest a weak, negative association. A correlation close to zero suggests no linear association between two continuous variables.
Step-by-step explanation:
what is the value of f(g(-3)?
Answer:
f(x) + g(x) = (-2x + 8)+ 3x
f(x) + g(x) = -2x + 8 + 3x Combine like terms.
f(x) + g(x) = x + 8
f(x) + g(x) = (f+g)(x) = x + 8
(f + g)(-1) = -1 + 8
(f + g)(-1) = 7
Step-by-step explanation:
Work out 4/7 + 2 1/3
It's 61/21. That's the answer.
a school newspaper pays $175 in set up fees and $2 per copy to print each issue What is the rate of change
Tell me weather the transformation is a dilation Explain
Answer:
A dialation is an enlargment or reduction of a figure. The size changes. To find dilation, multiply each point by a scale factor(k). (x, y)➡(kx, ky)
Ex. scale factor is 3
(2, 5)➡(6, 15)
Step-by-step explanation:
I just learned this.
Mrs lane took a survey of the types of pants her students were wearing. She collected the data of the types of pants her students were wearing, what percent of her students were wearing shorts? 14 were wearing jeans, 9 were wearing shorts, and 2 were wearing capris
Answer:
36%
Step-by-step explanation:
14+9+2=25
and the questions wants to know how many were wearing shorts
soooooooooooooo
divide 9 by 25 and that is 0.36 which would be 36% out the 25 wearing shorts
4) Transforme, observando os exemplos:
180’ = 180’ : 60=3°
180”= 180” : 60 = 3’
⦁ 120’ em graus
⦁ 300’ em graus
⦁ 420’ em graus
⦁ 120” em minutos
Answer:
63
Step-by-step explanation:
fhj v
Will give brainlist to who finds this out!
Answer:
1
2
4
Step-by-step explanation:
Answer:
[tex]\sqrt{1}, \sqrt{4}, \sqrt{9}[/tex]
Step-by-step explanation:
First, remember that rational numbers either terminate or have repeating decimals. Those three are the only answers with perfect squares, [tex]\sqrt{1} = 1, \sqrt{4} = 2, \sqrt{9} = 3[/tex]. As you can see all of these answers terminate and therefore are rational, the rest go one forever while never repeating.
Write in normal form 2.8 x 10⁶ ?
Answer
The answer is2600000
You invested 50,000 in a bank that pays 4.5% monthly simple interest, How much do you have after 2.5 years?
Answer:
I trhink you´ll have 117000
my explanation:
4.5 × 12=54%
54%=1 year
54% + 54%
108% + 27%
135% =67000
67000 + 50000
Which of the tables represents a function? 50 points i will give braileist
Table P
Input Output
6 3
1 2
6 7
Table Q
Input Output
5 1
7 8
5 6
Table R
Input Output
2 5
6 7
9 8
Table S
Input Output
3 6
4 7
4 5
Question 2 options:
1)
Table P
2)
Table Q
3)
Table R
4)
Table S
Answer:
Table RStep-by-step explanation:
Table P
Not a function as repeat input of 6 with different outputsTable Q
Not a function as repeat input of 5 with different outputsTable R
FunctionTable S
Not a function as repeat input of 4 with different outputsA popular podcast poses questions to subscribers at the end of each segment, asking listeners to enter their
responses on a website to join the sample. One of the questions was: "Do you regularly read nonfiction novels?" More
than 45,000 people responded, with 59 percent saying "Yes." Which of the following is true?
A) The sample is too small to draw any conclusion.
B) About 59% of people in the US regularly read nonfiction novels.
C) The poll uses voluntary response, so the results tell us little about the population of all adults.
D) The poll uses a convenience sample, so the results tell us little about the population of all adults.
E) The poll suffers from nonresponse bias, so the results tell us little about the population of all adults.
Answer:
The poll uses voluntary response, so the results tell us little about the population of all adults.
Step-by-step explanation:
I took the test
The one which is true would be; C poll uses voluntary response, so the results tell us little about the population of all adults.
How to calculate confidence interval for population mean for small sample?If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.
Let the sample mean given as [tex]\overline{x}[/tex] and
The sample standard deviation s, and
The sample size = n, and
The level of significance = [tex]\alpha[/tex]
About 59% of the 45,000 people responded as "Yes" to the question
The sample size is n = 45,000.
The sample proportion is p = 0.59.
The sample selected is a voluntary sample, such that the individuals provided their responses voluntarily. So, the sample is not a true representative of the population.
Thus the results tell us little about the population of all adults because of the large sample size.
The correct option is C poll uses voluntary response, so the results tell us little about the population of all adults.
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8x2+4x−3 is divided by 2x−1
I hope it is helpful for you
Answer:
the answer is 1
Step-by-step explanation: i took the test on k12 hope this helps
the cost of 2 cups of strawberries is $6. write an expression for the relationship between the cost, c, and the cups of strawberries,s.
2cup=6$
Im sorry if it isnt good.
You are a salesperson and your provability of selling items is 2 out of 20. (probability of success). if you have 4 potential customers, what is the probability that you are going to sell to exact 2 of these customers
Answer:
P(X = 2) = 0.0486
Step-by-step explanation:
We are told that probability of selling items is 2 out of 20.
Thus, probability of success is;
p = 2/20 = 0.1
you have 4 potential customers and you want to find the probability that you are going to sell to exact 2 of these customers.
This is a binomial probability distribution problem.
Thus;
n = 4 and x = 2.
So;
P(X = 2) = C(4, 2) × 0.1^(2) × (1 - 0.1)^(4 - 2)
P(X = 2) = 6 × 0.01 × 0.81
P(X = 2) = 0.0486
Isabel tried to evaluate an expression step by step
Answer:
Step 2
Step-by-step explanation:
Answer:
step 2
Step-by-step explanation:
For the function, find f (−2), f (−0.5), and f (3).
f(x) = −5x + 2
Answer:
2
Step-by-step explanation:
becaue i siad so
7n + 5 =68.... how to solve this problem and show my work
Answer:
n = 9
Step-by-step explanation:
7n + 5 = 68
7n + 5 - 5 = 68 - 5
7n = 63
7n / 7 = 63 / 7
n = 9
ANSWER IT PLZ ITS DUE IN 5 MIN!11111
Answer:
y = -2x - 3
Step-by-step explanation:
2x + y = 3
y = -2x + 3
Parallel slope --> m = -2
y = mx + b
-5 = -2(1) + b
-5 = -2 + b
-3 = b
y = -2x - 3
Hope this helps!
I have 20 pound bag of dog food if it is 2/3 full right now, how much dog food is in the bag?
Answer: 13 1/3 Ibs
Step-by-step explanation:
20 x 2/3 = 13.3333333 (repeating)
Simplified that’s 13 1/3
The amount of the dog food in the bag will be 40/3 or 13.33.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
I have 20 pound bag of dog food if it is 2/3 full right now.
Then the amount of the dog food in the bag will be
⇒(2/3) x 20
⇒ 40 / 3
⇒ 13.33
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What is the value of x in 2x -6
Answer:
2x+110°=180°
2x=70°
X=35°
Can I also have brainliest
Please help me:) i will give brainliest to the right answer<3
Answer:
It does
Step-by-step explanation:
It does have a proportional relationship because if you try to find the relationship between the first two inputs and outputs, you can find that it is 21 (1 to 21, 21 divided by 1 would be 21) then if you use that relationship with the other numbers (times 21) you would get the same answer. For example in the second one, the two numbers are 2 and 42, 2 times 21 would equal 42. The next one would be 3 times 21 to equal 63 and etc.
Hope this Helps!!