Answer:
49.87%
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 70%
σ is the population standard deviation = 8%
a) For x = 70%
z = 70% - 70%/8%
z = 0
Probability value from Z-Table:
P(x = 70) = 0.5
b) For x = 70%
z = 94% - 70%/8%
z = 3
Probability value from Z-Table:
P(x = 94) = 0.99865
The probability of students that receive between a 70% and 94%
P(x = 94) - P(x = 70)
0.99865 - 0.5
0.49865
Therefore, the percentage of students that receive between a 70% and 94% is
0.49865 × 100
= 49.865%
Approximately = 49.87%
Identify the coefficient and the exponent for each term of 8x4 – 2x.
Given:
The expression is:
[tex]8x^4-2x[/tex]
To find:
The coefficient and the exponent for each term of the given expression.
Solution:
Coefficients: In the product of s number and a variable, the number is coefficient of the variable.
Exponent: The number in the power is called exponent.
We have,
[tex]8x^4-2x[/tex]
Here, the terms are [tex]8x^4,-2x[/tex].
For the term [tex]8x^4[/tex], the coefficient is 8 and the exponent is 4.
For the term [tex]-2x[/tex], the coefficient is -2 and the exponent is 1.
Therefore, the coefficients are 8 and -2, and the exponent are 4 and 1.
The area of a rectangle is given as x^2+ 5x+6. Which expression represents either the
length or width of the rectangle?
a) (x-3)
b) (x + 6)
c) (x + 1)
d) (x+3)
Answer:
d) x + 3
Step-by-step explanation:
= x² + 5x + 6
Factorise :-
= x² + 2x + 3x + 6
= x(x + 2) + 3(x + 2)
= (x + 2)(x + 3) [Taking common]
Here we are getting (x + 3) as a factor of x² + 5x + 6 which will be either length or the width
Lauren, Shannon, and Maddie all work at a restaurant. Lauren earned $11.00 less than 3 times the amount Maddie earned. Shannon earned $9.00 more than 2 times the amount Maddie earned. If Lauren and Shannon both earned the same amount of money, how much money, m, did Maddie earn?
Which equation below correctly represents the situation above?
A.
3m - 9 = 2m + 11
B.
3m - 11 = 2m + 9
C.
3m + 2m + 11 = 9
D.
4 × 11 + 2 × 9 = m
Answer:
B.
3m - 11 = 2m + 9
Amount Maddie earns = m = $20
Step-by-step explanation:
Let
Amount Maddie earns = m
Amount Lauren earns = 3m - 11
Amount Shannon earns = 2m + 9
If Lauren and Shannon both earned the same amount of money, how much money, m, did Maddie earn?
Amount Lauren earns = Amount Shannon earns
3m - 11 = 2m + 9
Collect like terms
3m - 2m = 9 + 11
m = 20
Amount Maddie earns = m = $20
B.
3m - 11 = 2m + 9
Evaluate the following expression. You should do this problem without a
calculator.
In e^e
A. 0
B. e^e
C. 1
D. e
Answer:ln is called the natural log, or log to the base e. ln can also be written as
So, we can write the given expression as
The property of logs is:
This mean if the number a is raised to log whose base is the same as the number a itself, then the answer will be equal to the argument of the log which is x.
In the given case, the number e and the base of log are the same. So the answer of the expression will be the argument of log which is 6.
so, we can write
Thus, the correct answer is option D
Step-by-step explanation:
Can someone help me with this please!!! (Picture) I will mark brainliest no links!
Decide whether the statement below is true or false. Then fully explain why. The triangle below can be used to help with your explanation if needed.
“The sine of any acute angle is equal to the cosine of its complementary angle.”
If a firm uses x units of input in process A, it produces 32x3/2 units of output. In the alternative process B, the same input produces 4x3 units of output. For what levels of input does process A produce more than process B?
Answer:
The outcomes produced by A would be greater than B. A further explanation is provided below.
Step-by-step explanation:
Given:
In process A,
Produced units = [tex]32x^{1.5}[/tex]
In process B,
Produced units = [tex]4x^3[/tex]
If the outcomes are equivalent then,
⇒ [tex]32x^{1.5}=4x^3[/tex]
⇒ [tex]x^{1.5} = 8[/tex]
By taking log both sides, we get
⇒ [tex]log \ 8= 1.5 \ log \ x[/tex]
⇒ [tex]x=3.99[/tex]
If you put 700 into a savings account that's earns 1% interest compound monthly how much will you have in 5 years
Answer:
In 5 years I will have $ 1,151.71.
Step-by-step explanation:
To determine, if I put 700 into a savings account that's earns 1% interest compound monthly, how much will I have in 5 years, the following calculation must be performed:
700 x (1 + 0.01 / 12) ^ 12x5 = X
700 x (1 + 0.008333) ^ 60 = X
700 x 1.64530 = X
1,151.71 = X
Therefore, in 5 years I will have $ 1,151.71.
The school bought 957 science books, 1054 mathematics books, and 458 reading books. Put the books in order from least to greatest.
Answer:
reading books (458), science books (957), mathematics books (1054)
Step-by-step explanation:
458 is less than 957 and 1054, while 957 is less than 1054 but more than 458, and 1054 is more than 957 and 458.
458<957<1054
Need help!!! Please explain!!!
Identify the rule that correctly describes each
sequence.
12, 8, 4, 0, -4, ...
Each term is 4 more than the previous term.
Each term is 4 less than the previous term.
Each term is 1/2 the previous term.
Each term is 2/3 the previous term.
6, 12, 24, 48, 96, ...
Each term is 6 more than the previous term.
Each term is 12 more than the previous term.
Each term is 1/2 the previous term.
Each term is 2 times the previous term.
COMPLETE
COMPLETE
here’s the answers
Answer:
Each term is 4 less than the previous term.
Step-by-step explanation:
If this helps you mark as brainlist!
Answer:
B and D are your answers for that whole page
Step-by-step explanation:
Identify the rule that correctly describes each sequence.
12, 8, 4, 0, –4, …
Each term is 4 more than the previous term.
This Is the right one: Each term is 4 less than the previous term.
Each term is 1/2 the previous term.
Each term is 2/3 the previous term.
6, 12, 24, 48, 96, …
Each term is 6 more than the previous term.
Each term is 12 more than the previous term.
Each term is 1/2 the previous term.
This is the right one: Each term is 2 times the previous term.
if f(x)=8x which is the following is the inverse of f(x)
Answer:my=8x
To find the inverse, flip the x and y variables and then solve for y.
x=8y
x/8=8y/8
x/8=y
Final answer: f^-1(x)=x/8
Are holidays a proper subset of the calendar year?
Select the correct answer below:
No, holidays are only a subset of the calendar year.
Yes, holidays are a proper subset but not a subset of the calendar year.
Yes, holidays are a subset and proper subset of the calendar year.
No, holidays are not a subset or proper subset of the calendar year.
Answer: Choice C
Yes, holidays are a subset and proper subset of the calendar year.
=========================================================
Explanation:
The set of days in the calendar year spans from Jan 1st to Dec 31st.
The set of holidays is a small subset of the previous set mentioned. Any holiday is found on the calendar, but not every day on the calendar is a holiday.
------------
Here's another example of a subset
A = set of all animals
B = set of dogs
Set B is a subset of set A because any dog is an animal. In other words, any individual in set B is also in set A, but not the other way around.
------------
Going back to the calendar example, the set of holidays is a subset and it's also a proper subset of all the days in the year. We say that set B is a proper subset of set A if B has less items in it compared to A.
If we had these two sets
A = {1,2,3,4,5,6}
B = {1,2,3}
We can see that B is a proper subset of set A since everything in B is found in A, and B is smaller than A. The only time we have a subset and not a proper subset is when we talk about the set itself. Any set is a subset of itself (not a proper subset of itself).
The True statement is
Yes, holidays are a subset and proper subset of the calendar year.
What is Set?Sets are represented as a collection of well-defined objects or elements that are consistent from one person to the next. A capital letter represents a set. The cardinal number of a set is the number of items in a finite set.
The order of a set determines the number of elements in the set. It refers to the size of a set. The order of the set is often referred to as the cardinality.
The set of days in the calendar year spans from Jan 1st to Dec 31st.
The set of holidays is a subset of the previously described set. Any holiday can be found on the calendar, however not every day is a holiday.
let Set B is a Proper subset of set A if it contains fewer elements than A.
So, A = {1,2,3,4,5,6}
B = {1,2,3}
We can see that B is a proper subset of set A since everything in B is found in A, and B is smaller than A.
So, holidays are a subset and proper subset of the calendar year.
Learn more about Set here:
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You can identify sample spaces for compound events using organized lists, tables, and tree diagrams. Which of the three methods do you find easiest to use? Which method is the most helpful? Why? Use the Internet or another resource to find the definition of the Fundamental Counting Principle. What does this principle state? How can the principle be used to help you identify a sample space for a compound event? What are the limitations of using the Fundamental Counting Principle when determining the probability of an outcome? Support your answers with an example.
The fundamental counting principle is used to count the total number of possible outcomes that are in a situation.
What does the fundamental counting principle state?The fundamental counting principle states that if there are n ways of doing something, as well as m ways of doing another thing, then there are n×m ways to perform both of these actions.
The Fundamental Counting Principle helps when determining the sample space of probability as it figures out the total number of ways the combination of events can occur. Therefore, it is used as a guide when determining the sample space of a probability.
Lastly, the limitation is that the Fundamental Counting Principle is that it assumes that each basic event is equally probable, which does not necessarily have to be true.
Learn more about counting principle on:
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Answer:
The fundamental counting principle is used to count the total number of possible outcomes that are in a situation
Step-by-step explanation:
Solve for X
I’ll give BRAINLIEST to the correct answer
Answer:
[tex]x=9.91[/tex]
Step-by-step explanation:
[tex]11x-3=106[/tex]
[tex]+3[/tex] [tex]+3[/tex]
[tex]11x=109[/tex]
[tex]/11[/tex] [tex]/11[/tex]
[tex]x=9.91[/tex]
D R с C The diagram shows two squares ABCD and PQRS. Given that AB-12 cm, calculate (1) the perimeter of PORS. the area of AORS.
the diagram isn't available.Please fix that
I need help in this zzzzzzz
Answer:
[tex]7[/tex]
Solution:
This is a linear function. This means means that r is our rate of change.
To find r recal following formula
[tex]r=\frac{\Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}[/tex]
Since this is a linear function we can choose any two points. I will choose the first two for simplicity
[tex]\Displaystyle \therefore r = \frac{42-14}{6-2}=\frac{28}{4}=7[/tex]
Factor the following expressions completely. Show and check all work on your own paper.
x2+169
Answer:
The factor is polynomial
Step-by-step explanation:
trust me broski
Please help ASAP thank you
Name the marked angle in 2 different ways.
∠HGF ∠EGF
Hope this helps! :)
습
John spends $94 to buy packages of cleaning supplies for a camp. He buys t packages of
towels, each package is $6 and contains 8 towels. He also buys s packages of soap; each
package is $4 and contains 10 bars of soap. John buys 20 packages of cleaning supplies
altogether. Write a system of equations to represent the packages of cleaning supplies John
buys
Answer:
B
Step-by-step explanation:
step
Please help!! Thank you if you do!!
Please help me with this question.
Answer:
Step-by-step explanation:
736
State the domain and range of the function graphed below!!!!
The domain is the span of the x-values, and the range is the span of the y-values. In each, we are looking for the smallest and largest values.
Domain: x starts at -7, and goes to infinity (we cannot see an end)
(-7, infinity)
Range: y starts at negative infinity (we cannot see where it would start), and goes to 3
(negative infinity, 3)
Hope this helps!
Answer:
the domain starts at -7 ... only one answer has the domain starting at -7
domain(-7, infinity)
Step-by-step explanation:
the domain starts at -7 ... only one answer has the domain starting at -7
Which of the following graphs is described by the function given below?
y = 2x2 + 6x + 3
Answer: Graph A
Step-by-step explanation:
please help 20 pnts!!
Answer:
[tex]m^{\frac{1}{2} }[/tex] . [tex]n^{\frac{1}{2} }[/tex]
Step-by-step explanation:
Using the rules of exponents/ radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
[tex]\sqrt{a}[/tex] = [tex]a^{\frac{1}{2} }[/tex]
Given
[tex]\sqrt{mn}[/tex]
= [tex]\sqrt{m}[/tex] × [tex]\sqrt{n}[/tex]
= [tex]m^{\frac{1}{2} }[/tex] . [tex]n^{\frac{1}{2} }[/tex]
Answer:
[tex] {(mn)}^{ \frac{1}{2} } \\ {m}^{ \frac{1}{2} } {n}^{ \frac{1}{2} } [/tex]
help mee
x=
a.8
b. 9
c. 10
Answer:
A
Step-by-step explanation:
The formula is 5*x=4*10. Then simplify to 5*x=40. Divide both sides by 5. x=8
Given that X = - 2 and y = 4 , Evaluate the expression. 5y – 4x
Answer: 28
Step-by-step explanation: 5(4)-4(-2) which is 20+8 and that is 28.
Which equation of the solutions of x2 = -7x – 8
Answer:
x = 1, -5.56
Step-by-step explanation:
x^2 = -7x - 8
shift -7x and -8 to the other side . Remember when u shift minus changes into plus.
x^2 + 7x + 8 = 0
using quadratic equation formula
in quadratic equation one value comes positive and other comes in negative
a = 1 , b = 7 and c = 8
taking positive sign
x = (-b + [tex]\sqrt{b^2 - 4*a*c}[/tex]) /2*a
x = (-7 + [tex]\sqrt{7^2 - 4*1*8}[/tex] ) /2*1
x = (-7 + [tex]\sqrt{49 + 32}[/tex] ) /2
x = (-7 + [tex]\sqrt{81}[/tex] )/ 2
x = -7 + 9 / 2
x = 2/2
x = 1
taking negative sign
(-b - [tex]\sqrt{b^2 - 4*a*c}[/tex] ) /2*a
x = (-7 - [tex]\sqrt{7^2 - 4*1*8}[/tex] ) /2*1
x = (-7 - [tex]\sqrt{49 - 32}[/tex] ) /2
x = -7 - [tex]\sqrt{17}[/tex] / 2
x = -7 - 4.12 / 2
x = -11.12/2
x = -5.56
therefore x = 1 , - 5.56
Answer:
[tex]x = \frac{- 7 + \sqrt{17}}{2} \ , \ x = \frac{-7 - \sqrt{17}}{2}[/tex]
Step-by-step explanation:
[tex]x^2 = - 7x - 8\\\\x^2 + 7x + 8 = 0 \\\\[/tex]
[tex]x = \frac{- b \pm \sqrt{b^2 - 4ac}}{2a}\\\\[/tex] [tex][ \ a = 1 , \ b = 7 , \ c = 8 \ ][/tex]
[tex]x = \frac{-7 \pm \sqrt{49 - (4\times 8)}}{2} \\\\x = \frac{-7 \pm \sqrt{17}}{2} \\\\x = \frac{-7 + \sqrt{17}}{2} , \ , \frac{-7 - \sqrt{17}}{2}[/tex]
a = 5
an + 1 = 24, -7
Find three solutions of the equation.
y = -2x - 1
Step-by-step explanation:
three solutions of the equation:
y = -2x - 1
=>
1) (0, -1)
2) (1, -3)
3) ( -1, 1)