Scores on a quiz are normally distributed with a mean of 78 and a standard deviation of 4. Find the percentage of scores for a randomly selected student with a score between 71 and 85.a) 91.98%b) 4.01%c) 3.67%d) 95.99%
Answers
Answer:
Explanations:
Given the following parameters;
Mean = 78
Standard deviation = 4
If a randomly selected student with a score between 71 and 85, then we need the probability P(71
Determine the z-score for each score
For a score of 71
\(\begin{gathered} z=\frac{x-\mu}{\sigma} \\ z=\frac{71-78}{4} \\ z=-\frac{7}{4} \\ z_1=-1.75 \\ \end{gathered}\)For a score of 85
\(\begin{gathered} z_2=\frac{85-78}{4} \\ z_2=\frac{7}{4} \\ z_2=1.75 \end{gathered}\)Determine the probability for the z-score values P(-1.75 < z < 1.75) using the standard table.
\(\begin{gathered} P(-1.75Hence the percentage of scores for a randomly selected student with a score between 71 and 85 is 91.98%Related Questions
What is the meaning of "the universal class V is a proper class"?
Answers
The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.
We have,
In set theory, a proper class is a class that is not a set.
A class is a collection of objects, and a set is a class that can be a member of other classes.
On the other hand, a proper class cannot be a member of another class.
The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.
This means that V cannot be an element of any other class or set within the context of the set theory being considered.
The concept of proper classes is used to prevent paradoxes and contradictions that can arise when unrestricted comprehension is allowed in set theory.
Thus,
The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.
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Most cats have shoulder heights between 8 and 12 inches. The
following compound inequality relates the estimated shoulder height
(in inches) of a cat to the internal dimension of the skull x (in cubic
inches):
8s 1.03x-32.4 ≤ 12
Which compound inequality represents the range for the skull size of
cats? Answer choices are rounded to the nearest hundredth.
Answers
The compound inequality representing the range for the skull size of cats is: 39.32 ≤ x ≤ 43.01.
To find the compound inequality that represents the range for the skull size of cats, we need to solve the given compound inequality:
8 ≤ 1.03x - 32.4 ≤ 12
Let's solve it step by step:
Add 32.4 to all parts of the compound inequality:
8 + 32.4 ≤ 1.03x - 32.4 + 32.4 ≤ 12 + 32.4
40.4 ≤ 1.03x ≤ 44.4
Divide all parts of the compound inequality by 1.03 (the coefficient of x):
40.4/1.03 ≤ (1.03x)/1.03 ≤ 44.4/1.03
39.32 ≤ x ≤ 43.01
Therefore, the range for the skull size of cats can be represented by the compound inequality:
39.32 ≤ x ≤ 43.01
Rounded to the nearest hundredth, the compound inequality representing the range for the skull size of cats is:
39.32 ≤ x ≤ 43.01
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The selling price of 12 eggs is equal to the cost of 15 eggs find the gain percentage?
Answers
Given:
The selling price of 12 eggs is equal to the cost of 15 eggs.
To find:
The gain percentage.
Explanation:
Let us assume the cost price of 1 egg is $1.
So, the cost price of 15 eggs is $15.
According to the problem,
The selling price of 12 eggs is $15.
So, the selling price of 1 egg is,
\(\frac{15}{12}=\text{ \$}1.25\)Then, the gain percentage is,
\(\begin{gathered} P\%=\frac{Selling\text{ price-Cost price}}{Cost\text{ price}}\times100 \\ =\frac{1.25-1}{1}\times100 \\ =0.25\times100 \\ =25\% \end{gathered}\)Therefore, the gain percentage is 25%.
Final answer:
The gain percentage is 25%.
I am lost on this question i found both but it keeps on telling me i am incorrect
Answers
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answers
Answer:
5
Step-by-step explanation:
given the function f(x)=logbase2(X), find the y-intercept of g(x) = f(x+4)+8
Answers
The y-intercept of f(x + 4) + 8 is given as follows:
10.
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The parent function for this problem is given as follows:
\(f(x) = \log_2{x}\)
The translated function is then given as follows:
\(g(x) = \log_2{x + 4} + 8\)
The y-intercept of the function is the numeric value at x = 0, hence:
\(g(0) = \log_2{0 + 4} + 8\)
g(0) = 2 + 8 = 10.
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am I right for part A. And please help me with B
Answers
a) The radius of the sphere is given as follows: 27.13 ft.
b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.
How to obtain the surface area?The surface area for a sphere of radius r is given by the equation presented as follows:
S = 4πr².
The surface area for this problem is given as follows:
9244 ft².
Hence the radius is given as follows:
\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)
r = 27.13 ft.
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HELP ASAP
A salesperson's weekly paycheck is 25% more than a second salesperson's paycheck. The two paychecks total $1075. Find the amount of each paycheck. (Round your answers to the nearest cent.)
Answers
What is the solution to the linear equation?
2/5+p=4/5+3/5p
Answers
Answer:
p=1
Step-by-step explanation:
Rearrange terms
Combine multiplied terms into a single fraction
Subtract 2/5 from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
sorry if its wrong
Find the product and simplify your answer.
-5n(-2n^4 + 5n - 5)
Answers
Answer:
105n-25n^2
Step-by-step explanation:
-5(-16+5n-5)
-5(-21+5n)
=105n-25n^2
Item 23
What kind of angle is angle BCA ?
acute
obtuse
right
Answers
Answer:
BCA is obtuse
Step-by-step explanation:
BCA = 98 degrees
greater than 0 to less than 90 is acute angles
90 - right angle
greater than 90 to less than 180 is obtuse
98 is obtuse
Find the area of the square pyramid
Answers
Answer:
B. 36 m^2.
Step-by-step explanation:
Area = area of the base + 4 * area of each triangular side
= 3 * 3 + 4 * 1/2 * 3 * 4.5
= 9 + 27
= 36.
Answer:
B
Step-by-step explanation:
Surface area equals to sum of every shape that makes up the outside of the figure. In this case, we have 4 triangle and 1 rectangle
Kaitlin received a $2100 bonus. she decided to invest in a 2 year certificate of deposit with an annual interest rate of 1.13% compounded monthly.
Assuming no withdrawals are made, how much money is in kaitlins account after 2 years?
How much interest is earned on kaitlins investment after 2 years?
Answers
Answer:
interest rate is .000951667 and total interest gained is 47.98 and total money in the bank account is 2147.98
Step-by-step explanation:
you have to find the interest rate then multiply it by 1 year then put it to the power of 24. 24 because you have 34 months in 2 years
Giving brainliest for CORRECT awnser.
Answers
Answer:
i think i am not sure
i am soo sorry if i gave it wrong but i think its A
Step-by-step explanation:
Answer:
3x+2
Step-by-step explanation:
9x^2 + 12x +4
This is a perfect square trinomal
(3x)^2 + 12x +2^2 = 3x*2 doubled = 6x*2 = 12x
The middle term is twice the ends
a^2 +2ab+b^2 = (a+b)^2
(3x)^2 + 12x +2^2 = (3x+2) ^2
Ciara throws four fair six-sided dice. The faces of each dice are labelled with the numbers 1, 2, 3, 4, 5, 6 Work out the probability that at least one of the dice lands on an even number.
Answers
The likelihood that one or more of the dice will land on an even number is 1296.
How does probability work?The likelihood of an event is quantified by its probability, which is a number. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The likelihood of an event increasing with probability of occurrence.
According to the given information:Four 6-sided dice are rolled what is the probability that at least two dice show least 2 die the same.
For 2 of the same: 5×5×642) =900
For 3 of the same: 5×643) =120
For 4 of the same: 644) =6
Combined: 900+120+6=1026
Total possibilities: 64=1296
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The probability that at least one of the dice lands on an even number is 15/16 or approximately 0.938.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
We can solve this problem by finding the probability that all four dice land on odd numbers and then subtracting this probability from 1 to get the probability that at least one of the dice lands on an even number.
The probability that one dice lands on an odd number is 3/6 = 1/2, and the probability that all four dice land on odd numbers is:
(1/2) × (1/2) × (1/2) × (1/2) = 1/16
Therefore, the probability that at least one of the dice lands on an even number is:
1 - 1/16 = 15/16
So the probability that at least one of the dice lands on an even number is 15/16 or approximately 0.938.
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please help thank you!!
Answers
Using the sum and difference formula and trigonometric identities the value of tanθ and cosθ are cos(11π/12) = (-√6 + √2) / 4 and tan(11π/12) = 0 respectively.
Determine tanθ using the sum formulaThe identity tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ) may be used to calculate tan using the sum method.
Here, we have θ = 11π/12, so we need to express it as the sum of two angles.
In this problem, we are given θ = 11π/12 and we can use the sum of two angles.
11π/12 = π/6 + 5π/6
putting the value of α = π/6 and β = 5π/6.
The sum formula of the tangent becomes;
tan(11π/12) = tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ)
Let's put in the values of α and β:
tan(11π/12) = (tan(π/6) + tan(5π/6)) / (1 - tan(π/6) * tan(5π/6))
The tangent of π/6 and 5π/6 will have values as;
tan(π/6) = √3/3
tan(5π/6) = -√3/3
Let's put in these values into the sum formula;
tan(11π/12) = (√3/3 + (-√3/3)) / (1 - (√3/3 * (-√3/3)))
tan(11π/12) = 0 / (1 - (-3/9))
= 0 / (1 + 1/3)
= 0 / (4/3)
= 0
Therefore, tan(11π/12) = 0.
Part B;
Using difference formula, the value of cosθ can be expressed using the trigonometric identity
cos(α - β) = cosα * cosβ + sinα * sinβ
Since we are given θ = 11π/12;
Let's express this as the difference of two angles
11π/12 = 3π/4 - π/6
Putting the value α = 3π/4 and β = π/6.
Using the difference formula for cosine;
cos(11π/12) = cos(α - β) = cosα * cosβ + sinα * sinβ
Let's plug in the values of α and β
cos(11π/12) = cos(3π/4 - π/6) = cos(3π/4) * cos(π/6) + sin(3π/4) * sin(π/6)
The known values of cosine and sine for 3π/4 and π/6 are;
cos(3π/4) = -√2/2
cos(π/6) = √3/2
sin(3π/4) = √2/2
sin(π/6) = 1/2
Plugging these values into the difference formula;
cos(11π/12) = (-√2/2 * √3/2) + (√2/2 * 1/2)
cos(11π/12) = -√6/4 + √2/4
Combining like terms:
cos(11π/12) = (-√6 + √2) / 4
Therefore, cos(11π/12) = (-√6 + √2) / 4.
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what is 8 x 1 ????????????
Answers
Answer:8
Step-by-step explanation:8x1=8
the domain of f. f(1)=10, f(2)=-7, f(3)=4
Answers
Answer: The domain of the function f refers to the set of all input values (x) for which the function is defined. Based on the information provided, it is not possible to determine the full domain of the function f. The only information provided are the outputs (f(1)=10, f(2)=-7, f(3)=4) for specific input values (1, 2, 3).
Step-by-step explanation:
Which description is paired with its correct expression?
four less than the quotient of a number cubed and seven, increased by three; 4-2+3
five times the difference of a number squared and six; 5(6-n²)
nine more than the quotient of six and a number cubed, decreased by four; 8+²-4
9+
O twice the difference of nine and a number squared; 2(9-n²)
Answers
The correct pairings are:
a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3
b) Five times the difference of a number squared and six: 5(n² - 6)
c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4
d) O twice the difference of nine and a number squared: 2(9 - n²)
The correct pairings of descriptions and expressions are as follows:
Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3
This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.
Five times the difference of a number squared and six: 5(n² - 6)
This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.
Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4
This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.
O twice the difference of nine and a number squared: 2(9 - n²)
This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.
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Which scatterplot shows no relationship between the variables?
Answers
Answer:
D shows no relationship between the variables
Answer:
It’s actually B.
Step-by-step explanation:
F(x) = +-Atimessin(b(x+C)) + D, what is the equation for a sine function that has been shifted to the right 3 units and has and amplitude of 4??
Answers
The sine function of the given features is F(x) = 4sin(x-3)
How to determine the sine functionFrom the question, we have the following parameters that can be used in our computation:
F(x) = +-Atimessin(b(x+C)) + D
This means that
F(x) = Asin(b(x+C)) + D
Where
A = amplitude
been shifted to the right 3 units and has and amplitude of 4 means
A = 4 and C = -3
So, we have
F(x) = 4sin(x-3)
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What is the value of x?
Enter your answer in the box.
Answers
Answer:
x = 54
Step-by-step explanation:
See picture below :)
How many pounds of grapes can I buy for $1.00?
Answers
2.09
Here you go! Hope it helps!
It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trp 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes? (1 point) 1. 64 miles per hour 2.50 miles per hour 3. 30 miles per hour 4. 56 miles per hour
Answers
Answer:
30 miles per hour
Step-by-step explanation:
i took the test
Answer:
50 miles per hour
Step-by-step explanation:
I actually took the quick check
What is the equation of a line with slope 1/4 which passes through the point (0,7)?
Write the equation in slope-intercept form, y = mx + b.
Answers
Answer:
y=1/4x+7
Step-by-step explanation:
If the y-intercept is (0,7), then the b is +7
the slope is 1/4 which is equal to m
your equation is y=1/4x+7
Write the inequality
Answers
The inequalities which the number lines represent are as follows;
x > 3x <= 2.While writing inequalities represented on a number line;
We must observe the direction of the line; and also observe the shading on the starting point of the line.
In case 1:
The set of x values are represented as greater than 3; Therefore, the inequality is; x > 3In case 2:
The set of value are represented as less or equal to 2;Therefore, the inequality is; x <= 2The number line to represent the street sign is as in the attached image;
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Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answers
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
Answers
The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6
How to determine the valueTo determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.
These algebraic expressions are also identified with the presence of arithmetic operations,
These operations are;
AdditionBracketParenthesesSubtractionMultiplicationDivisionFrom the information given, we have that;
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
collect the like terms
7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6
add the like terms
x^7+10x^4+4x^3-5x^11-10x^6
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cos 2x= ___. Check all that apply.
A. sin² x - cos²x
B. 1-2 cos²x
C. 1-2 sin² x
D. 2 cos²x - 1
Answers
Answer:
C and D
Step-by-step explanation:
\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)
una persona tiene 6 chaquetas y 10 pantalones. de cuántas formas distintas puede combinar estas prendas?
Answers
The total number of combinations is given as follows:
60.
What is the Fundamental Counting Theorem?The Fundamental Counting Theorem states that if there are m ways for one experiment and n ways for another experiment, then there are m x n ways in which the two experiments can happen simultaneously.
This can be extended to more than two trials, where the number of ways in which all the trials can happen simultaneously is the product of the number of outcomes of each individual experiment, according to the equation presented as follows:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
The parameters for this problem are given as follows:
\(n_1 = 6, n_2 = 10\)
Hence the total number of combinations is given as follows:
6 x 10 = 60.
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