Answer:
$240
Step-by-step explanation:
60% = 0.6
400 divided by 0.6 = 240
Suppose the diameter at breast height (in.) of a certain type of tree is distributed normally with a mean of 8.8 and a standard deviation of 2.8.
(a)What is the probability that the diameter of a randomly selected tree will be at least 10 inches? Will exceed 10 inches.
(b) What is the value of c so that the interval (8.8-c, 8.8+c) contains 98% of all diameter values.
Answer:
a. 7% b. 1.4 inches
Step-by-step explanation:
(a)What is the probability that the diameter of a randomly selected tree will be at least 10 inches? Will exceed 10 inches.
Since our mean, x = 8.8 and standard deviation, σ = 2.8, and we want our maximum value to be 10 inches,
So, x + ε = 10 where ε = error between mean and maximum value
So,8.8 + ε = 10
ε = 10 - 8.8 = 1.2
Since σ = 2.8, ε/σ = 1.2/2.8 = 0.43
ε/σ × 100 % = 0.43 × 100 = 43%
Since 50% of our values are in the range x - 3σ to x and 43% of our values are in the range x to x + ε = x + 0.43σ, the probability of finding a value less than 10 inches is thus 50 % + 43% = 93%.
So, the probability of finding a value greater than 10 inches is thus 100 % - 93 % = 7 %.
(b) What is the value of c so that the interval (8.8-c, 8.8+c) contains 98% of all diameter values.
Since 98% of the values range from 8.8-c to 8.8+c, then half of the interval is from 8,8 - c to 8.8 or 8.8 to 8.8 + c. So, the number that range in this half interval is 98%/2 = 49%
So, c/σ × 100 % = 49%
c/σ = 0.49
c = 0.49σ = 0.49 × 2.8 = 1.372 ≅ 1.37 inches = 1.4 inches to 1 d.p
pls help it due soon
Answers:
Level 1 Q:
[tex]5x+4x=90\\9x=90\\x=10[/tex]
Level 2 Q:
[tex]48+2x=90\\2x=42\\x=21[/tex]
Level 3 Q:
[tex]25+(x-18)=90\\x=83[/tex]
Della is renting a car for the day. The rental
fee (y) is $30 plus $0.25 per mile (m).
Which of the following equations represents
this cost?
(A) y = 0.30m + 25
(B) y = 30m + 0.25
(C) y = 0.25m + 30
(D) y = m(0.25 +30)
Answer: C) y = 0.25m + 30
Step-by-step explanation:
Since the rental fee (y) of the car is $30 plus $0.25 per mile (m), then the cost will be:
= $30 + $0.25(m)
= 30 + 0.25m
For example, to calculate the cost of someone who rented the car and used 20 miles will be:
= 30 + 0.25m
= 30 + 0.25(20)
= 35
Find the volume of a cone with a base radius of 5 in. and a height of 12 in.
Answer:
V = 314
Step-by-step explanation:
Volume of a cone:
V = πr²(h/3)
Given:
r = 5
h = 12
Work:
V = πr²(h/3)
V = 3.14(5²)(12/3)
V = 3.14(25)(4)
V = 314
Answer:
The volume of the cone is 311.1in³.
Step-by-step explanation:
V = ⅓Bh where B = πr²
V = ⅓πr²h
V = ⅓(22/7)(5²)12
V = 0.33(3.142)(25)12
V = 311.1in³
Find the Median of the following set of data. (Round to the
nearest tenths place.)
1,1,3,0, 7, 2,0, 3, 1, 6, 8, 1
PLEASE HELP ASAP
Answer:
12
Step-by-step explanation:
put the numbers in least to greatest. so that would be 0,0,1,1,1,1,2,3,3,6,7,8, then find the one or two. in this case it is two. the medians in the one in the middle
What is the slope of the line that passes through the
points (4,-7) and (9, 1)?
A) 5/8
B) 8/5
C) -6/12
D)-13/6
Answer:
C) -6/12
Step-by-step explanation:
Sana nakatulong
I need help please with this assignment
Answer:
a) 10 yards and 10[tex]\sqrt{3}[/tex] yards
Step-by-step explanation:
The intersection of the support beams in the middle form four right angles, since all four sides are equal. Because you know two angles of the triangle on the right hand side (90° and 30°), you can calculate the third angle (given that a triangle has 180°):
180°-90°-30° = 60°
This is a 30-60-90 triangle (if you don't know what that is, you can look it up). In a 30-60-90 triangle, the hypotenuse is 2x. In this case, the hypotenuse is 10 yards, so you can set up an equation given that information:
2x = 10
x = 5
Now that you know x of the 30-60-90 triangle, you can solve for the other two sides of the triangle.
The side directly across from the 30° angle is just x, which is equal to 5. The side directly across from the 60° angle is x[tex]\sqrt{3}[/tex], which in this case would be 5[tex]\sqrt{3}[/tex].
Because you want the full length of both beams, you'd multiple both sides by two to get the length of both entire beams:
5*2 = 10
(5[tex]\sqrt{3}[/tex])*2 = 10[tex]\sqrt{3}[/tex]
*I hope this makes sense!*
Please help with B ......
Answer:
17
Step-by-step explanation:
This means all students above 20, so 9 + 5 + 3 = 17
Answer:
17
pls mark brainliest
Algebra pls help
Really
Answer: n=-14
Step-by-step explanation:
CONCEPT:
When the same-base exponents MULTIPLY= adding the exponents When the same-base exponents DIVIDE= subtracting the exponentsSOLVE:
The expression in the questions is [tex](x^{3} )(x^{-17})[/tex] which is MULTIPLYING, which means we should add the exponents together
[tex](x^{3} )(x^{-17})[/tex]=[tex]x^n[/tex] ⇔ Given
[tex]x^{3+(-17)}[/tex]=[tex]x^n[/tex] ⇔ Adding Exponents Together
[tex]x^{3-17}[/tex]=[tex]x^n[/tex] ⇔ Simplify
[tex]x^{-14}[/tex]=[tex]x^n[/tex] ⇔ Simplify
[tex]n[/tex]=[tex]-14[/tex] ⇔ Correspondingly
Hope this helps!! :)
Please let me know if you have any questions
Aim High To The Sky
James McDonald
Aim high to the sky,
In all that you do.
Because you just never know,
What it takes to be you.
Be strong and be brave,
But at the same time be kind.
And always be sure,
That you're using your mind.
Based on the poem the reader can conclude that the speaker -
A. feels effort and thoughtfulness to others are all important
B, thinks trying your best is the only important thing
C.feels that success is the most important thing in life
D. thinks that everyone will succeed if they work hard enough
( PLEASE HELP )
Answer:
A
Step-by-step explanation:
Because That's The Main Idea
Manuel makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
p and h are variables
Answer:
p = 8h
A very short answer, I know, but reading this out loud reads "Manuel's pay is equal to 8 dollars an hour."
Answer:
p=8h
Step-by-step explanation:
because he gets paid 8 dollars ever hour he works so if you multiple the hours he works to 8 dollars you get his total pay
Let's assume you are conducting an experiment to determine the effect of a new drug on the incidence of epileptic seizures. You select 20 epileptics from the 150 epileptics being treated at a nearby hospital and administer the drug to them. You record the number of seizures in each of the 20 subjects for one month. The 20 subjects constitute _________.
Answer:
The 20 subjects constitutes the sample
Step-by-step explanation:
Given
[tex]Total = 150[/tex]
[tex]Selected = 20[/tex]
Required
What does 20 represent?
The 150 patients being treated is the population of the study. When a certain amount is selected from a population, the selected is referred to as a sample.
So, this means that, 20 represents sample of the study.
What is the measure of the unknown segment?
Answer:6
Step-by-step explanation:
100 pts plz help!!!!!!1
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
Here,
The two lines l and m are parallel,
cut by a transversat line t
So The two angles are supplementary each other.
we know that,
The sum of two supplementary angles are 180°
According to the question,
(17x+14)°+(4x-2)°=180°17x+14°+4x-2°=180°17x+4x+14°-2°=180°21x+12°=180°21x=180°-12°21x=168°x=168°/21x=8°Therefore,
The value of x is 8°
100 points brainliest!!! plz answer all to the best of your ability no links they don't work for me
Answer the following questions using what you've learned from this unit. Write your responses in the space provided.
1. Part I: The degree of a polynomial is the (greatest / least) of the degrees of its terms. (Circle the term that correctly completes this definition.) (1 point)
Part II: In order to write a polynomial in descending order, you must write the terms with the exponents (decreasing / increasing) from left to right. (Circle the term that correctly completes this rule.) (1 point)
Part III: For each polynomial, determine the degree and write the polynomial in descending order. (4 points: 2 points each)
A. –4x2 – 12 + 11x4 B. 2x5 + 14 – 3x4 + 7x + 3x3
2. Use addition and subtraction to simplify the following polynomials.
A. Add polynomials: (3 – 4x + 8x2) + (–6 + 2x – 5x2)
Step 1: Rewrite the polynomials without the parentheses. (1 point)
Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)
Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)
B. Subtract polynomials: (3x – 5 – 7x2) – (–2 + 6x2 – 5x)
Step 1: Rewrite the polynomials without the parentheses. Remember to multiply each term in the second parentheses by –1. Show your work. (2 points)
Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)
Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)
3. Use the FOIL method to multiply binomials.
Part I: When multiplying binomials, the FOIL method helps you to organize the multiplication of each term of the first binomial by each term of the second. Fill in each blank with the word used to show how the binomials' terms are multiplied. (2 points: 0.5 point each)
F
O
I
L
Part II: Using the FOIL method, multiply the terms in the binomials below. Show your work in the blanks provided. Then, add any like terms and write the polynomial in standard form in the space provided. Show your work. (8 points: 2 points each)
A. (3x + 7)(2x – 5) B. (x2 + 2x)(5x2 – 3x)
______ + _______ + _______ + _______
______ + _______ + _______ + _______
______________________
______________________
C. (5x + 4)(5x – 4) D. (x2 – 7)(x2 – 4)
______ + _______ + _______ + _______
______ + _______ + _______ + _______
______________________
______________________
4. Use the distributive property to multiply the trinomial by the binomial.
Circle the first term in the trinomial, multiply it by each term in the binomial, and place each result in the blank spaces provided. Repeat this process for the second and third terms of the trinomial until all of the spaces are filled in. Finally, in the space provided beneath the blanks, simplify the expression by combining like terms and arranging the terms from highest to lowest order. Show your work. (4 points)
(3x2 – 2x + 7)(x2 + 2x)
______ + _______ + _______ + _______ + ______ + _______
5. Use the vertical method to multiply two trinomials.
Step 1: Multiply the top trinomial by the last term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 2: Multiply the top trinomial by the middle term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 3: Multiply the top trinomial by the first term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 4: Add the three partial products to find the final answer. Place the result at the bottom. (1 point)
6. Sabrina is making an open box from a piece of cardboard that has a width of 12 inches and a length of 18 inches. She'll form the box by making cuts at the corners and folding up the sides. If she wants the box to have a volume of 224 in3, how long should she make the cuts?
Part I: Each dimension (width, length, and height) of the finished box can be represented by a polynomial expression. If the height is x inches, what is the length in terms of x? (2 points)
Height = x
Width = 12 – 2x
Length =
Part II: The formula for volume is v = l • w • h. Use the polynomial expressions from Part I to write an equation to represent the volume of the box. Simplify on the right side by multiplying the polynomials and writing the answer in descending order. Show your work.
HINT: First multiply the binomials representing length and width. Next, multiply the resulting trinomial by the expression representing height. (3 points)
v =
Part III: The length of each cut at the corners is represented by x. To make a box, x must fall in a certain range of values. For example, x cannot be 15 because that would make the flap longer than the width of the box. Identify one reasonable value of x. Why did you choose that value? (2 points)
Part IV: Use the polynomial equation you wrote in Part II to find the volume of the box for each value of x. Show your work. (5 points)
Answer:
Part I: The degree of a polynomial is the greatest of the degrees of its terms.
Part II: In order to write a polynomial in descending order, you must write the terms with the exponents decreasing from left to right.
Part III: A. -4x² + 11x - 12, degree = 2,
B. 5x³ + 4x + 14, degree = 3.
Step-by-step explanation:
Part I : Since the degree of a polynomial is the highest power of its monomials ( single term ),
e: degree of is 5.
Thus, in part I, the correct option is 'greatest'
Part II: When we write a polynomial then we write the terms of the polynomial in descending order of their degrees.
Thus, in part II the correct option is 'least'
Part III: A.
∵ -4x² has the highest power in the polynomial.
⇒ Degree = 2,
Also, in the polynomial descending order of degrees,
2 > 1 > 0
⇒ polynomial in descending order,
B.
Combining like terms,
∵ 5x³ has the highest degree,
⇒ Degree = 3,
Also, the order of the degrees in the polynomial is,
3 < 2 < 1 < 0
Thus, the polynomial in descending order,
Answer: I had trouble with this one too.
Step-by-step explanation:
1) Evaluate the following expressions.show your work
a) 7(m - 8) for m = -4
Answer:
-84
Step-by-step explanation:
Since m=-4, we can plug -4 into the expression and use PEMDAS
7(m - 8)
7((-4)-8)
7(-12)
-84
A hiker is lost in the forest, but has his cell phone with a weak signal. Cell phones with GPS can give an approximate location through triangulation, which works by giving distances from two known points. Suppose the hiker is within distance of two cell phone towers that are 22.5 miles apart along a straight highway (running east to west, double-dashed line). Based on the signal delay, it can be determined that the signal from the hiker's phone is 14.2 miles from Tower A and 10.9 miles from Tower B. Assume the hiker is traveling a straight path south reach the highway quickly. How far must the hiker travel to reach the highway
Answer:
The distance the hiker must travel is approximately 5.5 miles
Step-by-step explanation:
The distance between the two cell phone towers = 22.5 miles
The distance between the hiker's phone and Tower A = 14.2 miles
The distance between the hiker's phone and Tower B = 10.9 miles
The direction of the highway along which the towers are located = East to west
The direction in which the hiker is travelling to reach the highway quickly = South
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
Let 'a', 'b', and 'c', represent the sides of the triangle formed by the imaginary line between the two towers, the hiker's phone and Tower A, and the hiker's hone and tower B respectively, we have;
a = 22.5 miles
b = 14.2 miles
c = 10.9 miles
Therefore, we have;
22.5² = 14.2² + 10.9² - 2 × 14.2 × 10.9 × cos(A)
cos(A) = (22.5² - (14.2² + 10.9²))/( - 2 × 14.2 × 10.9) ≈ -0.6
∠A = arccos(-0.6) ≈ 126.9°
By sine rule, we have;
a/(sin(A)) = b/(sin(B)) = c/(sin(C))
∴ sin(B) = b × sin(A)/a
∴ sin(B) = 14.2×(sin(126.9°))/22.5
∠B = arcsine(14.2×(sin(126.9°))/22.5) ≈ 30.31°
∠C = 180° - (126.9° - 30.31°) = 22.79° See No Evil
The distance the hiker must travel, d = c × sin(B)
∴ d = 10.9 × sin(30.31°) ≈ 5.5
Therefore, the distance the hiker must travel, d ≈ 5.5 miles.
6. The table shows the number of manatee deaths caused by watercraft in Florida each year
beginning in 1980. The years are coded that 1980 is 1, 1981 is 2, and so on. Use the table to
find the best model and the R2 value.
Year
1
2
3
4
5
6
7
8
9
10
Deaths
16
24
20
15
34
33
33
39
43
50
(1 point)
linear model, 0.845
exponential model, 0.779
power model, 0.682
quadratic model, 0.866
Answer: quadratic model, 0.866
Step-by-step explanation:
Please answer the question in the picture
Answer:
Hey kid stop cheating XDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
Equation of the line pls help
help me bros, this question is a big part of my grade!!
Answer:
6.
m1 : 61
m2 : 61
m3 : 29
7.
m1 : 87
m2 : 45
m3 : 45
m4 : 52
What function is shown in the graph?
A)
y=-3X
B)
B
y = 3-X
0
y = 3x + 2
D)
y = 3* + 2
Answer:
5x
Step-by-step explanation:
got it right on edg
help ASAP ill mark brainliest, you dont need to explain the answer
Answer:
The first option.
Step-by-step explanation:
Add all the numbers together and voila you get 27
A size 8 kid's shoe measures 9 2/3 inches. If 5 size 8 shoes are lined end to end, then how many inches will they cover?
Answer:
its 77 1/3
just do the math with a calculator
Answer: 48 1/3
Step-by-step explanation:
please help meeeeeeeeee
Answer:
20% i believe
Step-by-step explanation:
i looked it up actually lol
Answer:
The percentage change is a 20% increase
What is the area of this shape can someone please help
Answer 10x8=80+3
Step-by-step explanation:
i.d.k 83?????
I’ll give the Brainliest to who answers these questions with reasonable explanations.
1. The manager of the soda shop decides that you’re a good customer, you may use a flavour as many times as you’d like. How many different possible mixtures can you make know (remember, you have 13 flavours available to you and you must choose 6)?
2. You realize that, despite what you expected, the soda actually tastes different depending on which flavour you choose first, second, etc. With this in mind, how many different sodas can you make?
Answer:
Answer
5.0/5
1
sana112704
Answer:
i think the answer is 10,296
Step-by-step explanation:
The first one is still 13C6
Review the definition of combina
Step-by-step explanation:
Answer:
what is the answer to part one ?
and the answer too part 2 ?
the answers down below wereńt clear enough .
Step-by-step explanation
What is the distance between A(7, 4) and B(2, −8)?
Answer:
The distance would 13 square units
Step-by-step explanation:
Well follow the formula
=√(2−1)^2+(2−1)^2
Plug in everything and solve, remeber to follow order of operations
what is the longitudinal position latitudinal position of Nepal
Step-by-step explanation:
I think that is your answer because in the Himalayas it lies between latitudes 26.
The sweater was normally $50. It was on sale for $12 off. What was the percent of discount?
Answer:
The discount was 24%.
Step-by-step explanation:
24% of 50 is 12.