find the approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches
Answers
Answer:
The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866
Step-by-step explanation:
The complete question is presented in the attached image to this answer.
It is stated that the distribution of tree diameters is approximately normal, hence, this is a normal distribution problem with
Mean diameter = μ = 8 inches
Standard deviation = σ = 2.5 inches
The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = P(x < 5.5)
To solve this, we first normalize or standardize 5.5 inches
The standardized score for 45mg/L is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (5.5 - 8)/2.5 = - 1.00
The required probability
P(x < 5.5) = P(z < -1.00)
We'll use data from the normal probability table for these probabilities
P(x < 5.5) = P(z < -1.00) = 0.15866
Hope this Helps!!!
Related Questions
b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how
much money would you owe in taxes at the end of the year? Show your work. (5 points)
Answers
Answer:
$1,263.75
Step-by-step explanation:
8425×0.15=1263.75
Answer: $1263.75
Step-by-step explanation:
$8425 (the amount you earned) multiplied by 0.15 (the tax rate as a decimal) is equal to 1263.75.
So, you would owe $1263.75 in taxes at the end of the year.
Four students were asked to write an expression which has terms that have a greatest common factor of 8c.
the expressions provided by the students are shown below.
Tanya
32C+16cd
Wyatt
8c-48cd
Xavier
36c-24c yang. 8c+40
Which student wrote the correct expression?
Answers
Answer:
Wyatt
Step-by-step explanation:
Tanya: 32c+16cd=16c(2+d)
The GCD of the terms is 16cWyatt : 8c-48cd=8c(1-6d)
The GCD of the terms is 8cXavier :36c-24c =12c(3-2)
The GCD of the terms is 12cYang: 8c+40=8(c+5)
The GCD of the terms is 8Since the expression is required to have a GCD of 8c, Wyatt wrote the correct expression.
Answer:
wyatt answered correctly
Step-by-step explanation:
Stephen uses \dfrac{2}{25}
25
2
start fraction, 2, divided by, 25, end fraction kilograms of tofu in each serving of his famous tofu dish. He has 1\dfrac{1}{10}1
10
1
1, start fraction, 1, divided by, 10, end fraction kilograms of tofu.
How many servings can Stephen make?
Answers
Answer:
[tex]13\dfrac{3}{4}$ servings[/tex]
Step-by-step explanation:
Stephen uses [tex]\dfrac{2}{25}[/tex] kilograms of tofu in each serving of his dish.
He has [tex]1\dfrac{1}{10}[/tex] kilograms of tofu.
We want to determine how many servings Stephen can make.
To do this, we divide the total weight of tofu by the weight per serving.
[tex]\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div \dfrac{2}{25}\\\\= \dfrac{11}{10}X \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings[/tex]
Stephen can make [tex]13\dfrac{3}{4}$ servings[/tex] .
If a 30-foot ladder leaning against a building makes a 62° with the ground. How many feet from the base of the building is the bottom of the ladder? Assume you hired an excellent contractor, and your building's wall is perpendicular to the ground. Round to the nearest tenth of a foot.
Answers
Answer: 14.1 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.
cos α = adjacent side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the adjacent side (x) is the distance from the base of the building to the bottom of the ladder
Replacing with the values given:
cos 62 = x/ 30
Solving for x
cos62 (30) =x
x= 14.1 feet
Feel free to ask for more if needed or if you did not understand something.
The point-slope form of a line that has a slope of
and passes through the point (3, 0) is shown.
y -0 =3(2-3)
What is the equation in slope-intercept form?
A. y=1/4x-3
B. y=1/4x3/4
C. y=3/4x-1/4
D. y=1/4x-1/12
Answers
I hope help
How many solutions does this equation have?
–2 − 10z = –4 − 10z
Answers
Answer:
No solutions
Step-by-step explanation:
To find out how many solutions there are you must solve:
- 2 - 10z = - 4 - 10z
Add 10z to both sides:
-2 = -4
Since the two terms are different from one another, that means that there are no solutions for this equation.
Please Help!! In a discount store, 12% of the 100 cups in stock have some unnoticeable defect. What is the probability of buying 12 cups that don’t have any defect? And what is the probability of getting all 12 cups having a defect?
Answers
≈Answer:
a)What is the probability of buying 12 cups that don’t have any defect?
0.1955
b) And what is the probability of getting all 12 cups having a defect?
9.52 × 10⁻¹⁶
Step-by-step explanation:
In the question,we are given the following values:
12% of the 100 cups in stock have some unnoticeable defect.
The number of cups that have defect in stock is calculated as:
12/100 × 100 = 12 cups
The number of cups that doesn't have defect is calculated as:
Total number of cups in stock - Number of cups in stock that have defect.
100 - 12 = 88 cups
a) What is the probability of buying 12 cups that don’t have any defect?
Probability Formula = Number of events/ Number or possible outcomes.
The probability of buying cups that don't have any defect =
88/100 × 87/99 × 86/98 × 85/97 × 84/96 × 83/95 × 82/94 × 81/93 × 80/92 × 79/91 × 78/90 × 77/89 = 0.1955138721
Approximately = 0.1955
b) And what is the probability of getting all 12 cups having a defect?
Probability Formula = Number of events/ Number or possible outcomes.
= 12/100 × 11/99 × 10/98 × 9/97 × 8/96 × 7/95 × 6/94 × 5/93 × 4/92 × 3/91 ×2/90 × 1/89
= 9.519991996 ×10⁻¹⁶
Approximately = 9.52 × 10⁻¹⁶
Erica has a small metal treasure box. The inside of the box is 3 inches wide, 6 inches long, and 4 inches deep. Erica wants to line the box with fabric to protect the items she puts in the box. How many square inches of fabric will she need? Show your work
Answers
Answer: she will need 108 square inches of fabric.
Step-by-step explanation:
To determine the number of square inches of fabric that she will need, we would determine the surface area of the inner part of the box. The formula for determining the surface area of a box or cuboid is expressed as
Surface area = (2lw + 2lh + 2wh)
Where
l represents length of the box = 6 inches
w represents width of the box = 3 inches
h represents height of the box = 4 inches
Therefore,
Surface area = (2 × 6 × 3) + (2 × 6 × 4) + (2 × 3 × 4) = 108 inches²
Convert 7/6 to a mixed number
Answers
7 out of 6 ymto a mixed number is
1¹/6
Rewrite as a simplified fraction.
2.31 with the 1 repeating
Answers
Answer: [tex]\frac{104}{45}[/tex]
Step-by-step explanation:
[tex]2.31^-[/tex]
Let x be equal to that.
[tex]x=2.31^-[/tex]
Multiply by 1 followed by as many zeros as repeating numbers. In this case it's just one repeating decimal, therefore, 1 followed by 1 zero or 10.
[tex]10x=2.31^-*10[/tex]
This basically moves the decimal point one number to the right.
[tex]10x=23.11^-[/tex]
Subtract the first equation from this new equation.
[tex]10x=23.11^-\\-x=2.31^-[/tex]
--------------------------
The repeating decimal is eliminated and we are left with:
23.1
- 2.3
---------
20.8
We also have 10 - 1 = 9. We are left with:
[tex]9x=20.8[/tex]
Divide by 9.
[tex]x=\frac{20.8}{9}[/tex]
To get rid of the decimal, multiply by 1 followed by as many zeros as decimals. In this case 1.
[tex]x=\frac{20.8}{9} (\frac{10}{10} )[/tex]
[tex]x=\frac{208}{90}[/tex]
Let's simplify.
208/2=104
90/2=45
[tex]x=\frac{104}{45}[/tex]
plzzzzzzzzz help me im dewwwwwww plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz pros
Answers
Answer:
C
Step-by-step explanation:
[tex]x^2-2x-80=[/tex]
[tex](x-10)(x+8)[/tex]
You can confirm this by expanding this:
[tex](x-10)(x+8)=[/tex]
[tex]x^2-10x+8x-80=[/tex]
[tex]x^2-2x-80[/tex]
Therefore, the answer is choice C. Hope this helps!
Answer:
C
Step-by-step explanation:
x^2-2x-80
(x^2+8)+(-10x-80)
factor out the -10 for -10x-80
=x(x+8)-10(x+8)
(x+8)(x-10)
pls mark me brainliest
You roll a die 30 times. The table shows the results. Find the experimental probability of rolling each number. Write each probability as a fraction in simplest form. For which number is the experimental probability of rolling the number the same as the theoretical probability?
Answers
Answer:
i need this answer too someone please answer lol
Please help. I also will post another question I need help with. Thank you if you help.
Answers
Geometric progression, first term 5, common ratio 3.
Answer: 5, 15, 45, 135
I need help with these problems!!!
How would I solve them, can someone explain the steps please, or check if there correct?
Answers
Answer:
Step-by-step explanation:
A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 7pi/12. The graph of the function does not show a phase shift. What is the equation of the cosine function described?
Fill in the blanks using values from this list: -20, -11, -9, -2, 2, 9, 11, 20, 7pi/12,12pi/7,7/24,24/7
f(x)=___cos(_____x)______
Answers
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is [tex]\frac{7\pi}{12}[/tex]. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is [tex]y=A\cos(b(x-c))-d[/tex], where,
A = Amplitude,
[tex]\frac{2\pi}{b}[/tex] = Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is [tex]y=\cos(x)[/tex]. Since function is reflected about x-axis, so our function will be [tex]y=-\cos(x)[/tex].
Let us find the value of b.
[tex]\frac{2\pi}{b}=\frac{7\pi}{12}[/tex]
[tex]7\pi\cdot b=24\pi[/tex]
[tex]\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}[/tex]
[tex]b=\frac{24}{7}[/tex]
Upon substituting our given values in general cosine function, we will get:
[tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex]
Therefore, our required function would be [tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex].
How may cups are In a gallon
Answers
Answer:
I think it is 16 cups in a gallon
A square has an area of 9 cm^2. What is the length of each side?
Answers
Answer:
The side length is 3 cm
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
9 = s^2
Take the square root of each side
sqrt(9) = sqrt(s^2)
3 =s
The side length is 3 cm
Answer:
3cm
Step-by-step explanation:
As we know it's a square, we can just square the area to get:
[tex]\sqrt{9}[/tex] = 3
We know we can do this as to find the area of a square or rectangle you just need to multiply the sides together. As it's a square, all the sides are the same so they have the formula:
x * x = A (unit)^2
Write the expression – 5x(4 + 3x) using words.
the sum of negative five times a number and four minus three times the number
the product of negative five times a number and the quantity four plus three times the number
the product of three times a number plus the quantity four and five times the number
Answers
Answer:
the product of negative five times a number and the quantity four plus three times the number
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
Solve the following:
a)
3x + 4 /2 = 9.5
7 + 2x /3 = 5
b)
Answers
a) x=2.5
b) x=-3
Which ists the steps in the correct order to fnd the medan of this data set? 24 16 23 30, 18 29 1 Put the numbers in order 2. Cross off highvlow pairs 3 Add the leftover numbers 4. Divsde the sum by 1 Pt the numbers in order 2. Cross of highlow pairs 1 Cross off hightow pars 2. Add the 3 Divsle the sum by over numbers 1 Cross of highlow pars
Answers
Answer:
1. Put the numbers in order.
2. Cross off high/low pairs.
3. Add the leftover numbers.
4. Divide the sum by 2.
Step-by-step explanation:
Given:
24, 16, 23, 30, 18, 29
The ordered steps involved in Calculating the median of the data set given :
1.) put the numbers in order: This involves arranging the numbers in the dataset usually in ascending order :
16, 18,23,24,29,30
2.) Cross off high/low pairs: take out equal amount of input from both the left and right hand side. Here we have (23, 34) left
3) Add the leftover numbers: Since the values left is more than one, both values are summed, we have (23+24) = 47
4.) Divide the sum by 2 : Get the average of the two numbers to obtain the median value. Here the average is (23+24)/2 = 47/2 = 23.5
Answer:
A: 1. Put the numbers in order.
2. Cross off high/low pairs.
3. Add the leftover numbers.
4. Divide the sum by 2.
Step-by-step explanation:
edg2020
At a furniture store there is a sale on kitchen tables and chairs. Single chairs sell $80 each. If a customer a set of 4 chairs, the total price would. be $250. What is the percent savings on the 4-chair set? Round to the nearest whole percent.
Answers
Answer:
4%
Step-by-step explanation:
1% of 250 is $2.50. Times 4 is $10. The difference between 240 and 250 is 10.
Answer:
235
Step-by-step explanation:
Anyone understand how to do this?
Answers
Answer:
f ( x ) = - 2x^2 + 3x + 1
Step-by-step explanation:
If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;
− ∞ < x < ∞, while y > − ∞
Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;
If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;
Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2
what are the factors of 36x⁸-49?
Answers
Answer:
(6x^4+7)(6x^4-7)
Step-by-step explan
Answer:
The common factor is 1
(6x^4+7) (6x^4-7)
Step-by-step explanation:
The function f (t) =-16t^2 = 576 represents the height of a freely falling ballast bag that starts from rest on a ballon 576 feet above the ground. After how many seconds t does the ballast bag hit the ground.
Answers
Answer:
The ballast bag hits the ground after 6 seconds.
Step-by-step explanation:
Suppose there was a small typing mistake.
The height of the ball, after t seconds, is given by the following equation:
[tex]f(t) = -16t^{2} + 576[/tex]
After how many seconds t does the ballast bag hit the ground.
This is t for which f(t) = 0. So
[tex]f(t) = -16t^{2} + 576[/tex]
[tex]-16t^{2} + 576 = 0[/tex]
[tex]16t^{2} = 576[/tex]
[tex]t^{2} = \frac{576}{16}[/tex]
[tex]t^{2} = 36[/tex]
[tex]t = \pm \sqrt{36}[/tex]
Time is a positive measure, so
[tex]t = 6[/tex]
The ballast bag hits the ground after 6 seconds.
Jacob took a total of 12 quizzes over the course of 3 weeks.
How many weeks of school will Jacob have to attend this quarter before he will have taken a total of 16 quizzes?
Answers
Answer:
4 weeks
Step-by-step explanation:
The number of weeks for a total of 16 quizzes will be 4 weeks.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jacob took a total of 12 quizzes over the course of 3 weeks. The number of weeks for 16 quizzes will be calculated as below:-
12 quizzes = 3 weeks.
1 quizzes = 3 / 12 weeks
16 quizzes = ( 3 / 12 ) x 16 = 4 weeks
Therefore, the number of weeks for a total of 16 quizzes will be 4 weeks.
To know more about Expression follow
brainly.com/question/723406
#SPJ5
Mrs.Garcia is making bread using a total of 400 grams of gluten free flour.The recipe calls for 70% of the flour to be almond flour. She needs to know how much almond flower to use.
Answers
Answer:
She needs 280 grams of almond flour.
Step-by-step explanation:
This question can be solved using a rule of three.
400 grams is 100% = 1. How much is 70% = 0.7?
400 grams - 1
x grams - 0.7
x = 400*0.7
x = 280
She needs 280 grams of almond flour.
Answer:
120g
Step-by-step explanation:
70% of flour in 400g is expressed as
= 70/100×400
=0.7×400
=280g
Therefore, the amount of almond flour to be used by Mrs Garcia in making the recipe is
=400g-280g
=120g
Thus, Mrs Garcia requires 120g of almond flour
What is the product of (-a + 3)(a + 4)?
Answers
Answer:
-a^2-a+12
Step-by-step explanation:
(-a+3)(a+4)
-a^2-4a+3a+12
-a^2-a+12
The cost of 6 tennis balls in a sports store is $4.60. Wyatt bought 9 tennis balls from the store. What is the cost of 9 tennis balls?
Answers
Answer:
$6.90 is the cost of 9 tennis balls
What is the perimeter of the quadrilateral
shown below?
Answers
Answer:
6x^2+x-1
Step-by-step explanation:
(2x+5)+(4x^2+2x)+(x^2-3x)+(x^2-6)
=4x^2+x^2+x^2+2x+2x-3x+5-6
=6x^2+2x+2x-3x+5-6
=6x^2+x+5-6
=6x^2+x-1
A package of books weighs 72 ounces. What is the weight of the package in pounds?
Answers
Answer: 4.5 pounds
Explanation: To convert 72 ounces into pounds, we use the conversion factor for ounces and pounds which is 16 ounces = 1 pound.
Next, notice that we're going from a smaller unit, ounces, to a larger unit, pounds and when we go from a smaller unit to a larger unit, we divide. So here, we divide 72 by the conversion factor, 16, to get 4.5.
So 72 ounces equals 4.5 pounds.
