Answer:
For what I can’t see the page or equation?
Step-by-step explanation:
. Consider the data from the Anthropology 105 class. The mean height for women in theclass is 64.33 in and the standard deviation is 2.64 in.1. The average height of men in the US is approximately 5ft 10in. What proportion of womenrepresented here are shorter than the average man? (enter the answer as a percent rounded to thenearest hundredth as needed)2. Assume professional volleyball players who are women are at least 6 foot tall. What proportion ofthe population could even hope to be a professional volleyball player by using these standards? Hint:Find the proportion of women who are at least 6 foot tall. (enter the answer as a percent rounded tothe nearest hundredth as needed)
Given:
The mean height for women in the class = μ = 64.33
The standard deviation = σ = 2.64 in
We will use the formula of the z-score
\(z=\frac{x-\mu}{\sigma}\)We will find the following:
1. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
1 foot = 12 inches
So, x = 5ft 10in = 5*12 + 10 = 70 in
\(z=\frac{70-64.33}{2.64}=2.1477\)From the normal distribution curve we will find P(z < 2.1477)
So, the percentage will be = 0.9841
rounding to the nearest hundredth,
So, the answer will be 98.41%
=============================================================
2. Assume professional volleyball players who are women are at least 6 feet tall. What proportion of the population could even hope to be a professional volleyball players by using these standards?
So, x = 6 foot = 72 in
\(z=\frac{72-64.33}{2.64}=2.9053\)From the normal distribution curve, we will find P( z > 2.9053)
So, the answer will be 0.0018 = 0.18%
So, the answer will be 0.18%
A company makes haw flakes, a disc-shaped sweet and tangy candy made from the fruit of the
Chinese hawthorn tree. The company plans to change the amount of packaging used for each roll
of haw flakes according to the function f (x) = 4(0.95), where a represents the number of whole
years from today. How will the company's use of this function affect the amount of packaging used
for each roll of haw flakes?
The amount of packaging used for each roll of haw flakes will decrease by 5% each year.
How to model the exponential function?An exponential function is modeled as follows:
y = a(b)^(x/n).
In which:
a is the initial amount.b is the rate of change.n is the time needed for the rate of change.The function for this problem is defined as follows:
f(a) = 4(0.95)^a.
The parameter b assumes a value of 0.95 < 1, meaning that the function represents exponential decay, and the decay rate is given as follows:
1 - r = 0.95
r = 1 - 0.95
r = 0.05.
Meaning that the amount of packaging used for each roll of haw flakes will decrease by 5% each year.
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Set up a rational equation and then solve the following problems. A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/18. Find the two integers.
Answer:
9 and 18
Step-by-step explanation:
2x and x are the numbers
1/x-1/2x=1/18
2/2x-1/2x=1/18
1/2x=1/18
2x=18X=9,
2x=18
The two integers are 9 and 18
Which graph represents y as a function of x?
Answer:
D
Step-by-step explanation:
Has only one point on the x- axis.
\((f) = ex + 6\)
use the chain rule and the oppropriate rule to differniate each following function
The differentiation of the given function f(x) = eˣ+6 is eˣ
What is differentiation?The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.
Given is function f(x) = eˣ+6, we need to find the derivative of this function,
f(x) = eˣ+6
f'(x) = d / dx (eˣ+6)
= d(eˣ)/dx + d(6)/dx
Since, 6 is a constant and derivative of a constant is zero,
d(eˣ)/dx + d(6)/dx = d(eˣ)/dx + 0
Now, when we differentiate eˣ, we get eˣ itself,
Therefore,
d(eˣ)/dx = eˣ
Therefore, the differentiation of the given function f(x) = eˣ+6 is eˣ
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PLS HELP
solve for P
8= p/7 (that's a fraction the p/7 is a fraction )
P=
Step-by-step explanation:
Hey there!
Given;
\(8 = \frac{p}{7} \)
Multiply 7*8 for finding value of "p".
\(p = 8 \times 7\)
\( p = 56\)
Therefore the value of "p" is 56.
Hope it helps...
Answer:
P = 56 i think i am not sure
Step-by-step explanation:
Which of the following values is a solution to the inequality (x+5)/3 < 2x?Question 2 options:x = –5x = 13x = –1x = 3
Answer
x = 3
Explanation
Given inequality:
\(\frac{x+5}{3}<2x\)Multiply both sides of the inequality by 3 in order to clear fraction:
\(\begin{gathered} \frac{x+5}{3}\times3<2x\times3 \\ =x+5<6x \end{gathered}\)Combine the like terms
\(\begin{gathered} x+5<6x \\ x-6x<-5 \\ -5x<-5 \end{gathered}\)Divide both sides by -5. Note the < will change to >
\(\begin{gathered} \frac{-5x}{-5}>\frac{-5}{-5} \\ x>1 \end{gathered}\)This implies the values of x must be greater than 1, i.e. in terms of whole number, x = 2, x = 3, x = 4, ......... could be any of the solutions.
Hence,
\(x=3\text{ is a solution to the inequality}\)bonsoir pouvez vous m'aidez
Answer:
Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.
3 1/4 divided by -5 1/2
Answer:
Step-by-step explanation:
First convert into improper fraction
Then use KCF method
K - Keep the first fraction
C- Change the operation ÷ to multiplication
F - Flip the second fraction
3 1/4 ÷ (-5 1/2) = \(\frac{13}{4}\) ÷ \(\frac{- 11}{2}\)
\(= \dfrac{13}{4}*\dfrac{-2}{11}\\\\\\=\dfrac{13}{2}*\dfrac{-1}{11}\\\\=\dfrac{-13}{22}\)
The function y(x)=13x represents the number of yards y(x) in x feet. How many yards are there in 1 mile? (hint: there are 5280 ft in 1 mile. ).
Answer: 22880 yards
Step-by-step explanation: Please give brainliest
There are 6 times as many females as males on the maths course at university. What fraction of the course are male? Give your answer in its simplest form.
create a histogram using the values from the list given using r studio or excel. upload the histogram
2, 2, 3, 11, 11, 11, 12, 14, 14, 14, 15, 15, 15, 15, 16, 16, 17, 18, 18, 19, 19, 19, 20
You can create a histogram by creating around 4 classes and then representing the frequency of the data within these classes (see the attachment).
What is a histogram?This is a type of graph that visually represents the frequency of data. Due to this, histograms use columns and classes. The classes group data according to specific ranges.
How to create a histogram?Create the classes and frequency of the data. Here is the way you can do it:
Class - Frequency
2-7 = 3
7-12= 3
12-17= 10
17-22= 7
You can see the graph below
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mart math math math math
Explanation:
Segment AW bisects angle CAD.
This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.
Therefore, angle CAD = 40 degrees.
The supplement of this is angle DAX
(angle CAD) + (angle DAX) = 180
angle DAX = 180 - (angle CAD)
angle DAX = 180 - 40
angle DAX = 140 degrees
[3 x 2⁵ + 13 × (-2)] +7[8-(4-9)]
In a class, we have 61 students of different majors. There are 23 chemistry majors (C), 12 math majors (M), 9 engineering majors (E), and 17 students who are undecided (U). Of these students, 4 of them have declared both math and engineering majors. A student will randomly be chosen to win a scholarship.
Suppose that we decide to award three scholarships. What is the probability that the first winner is a chemistry major, the second winner is a chemistry major, and the third winner is an undecided major? (A student cannot win more than one scholarship).
a. 0.3096.
b. 1.0319.
c. 0.0398.
d. 0.9604.
Answer:
c. 0.0398.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
To solve this question, we find each separate probability, and then multiply them.
First winner is a chemistry major
23 chemistry majors out of 61 students. So
\(P(A) = \frac{23}{61}\)
Second winner is a chemistry major:
Considering the first event, 22 chemistry majors out of 60 students. So
\(P(B) = \frac{22}{60}\)
Third winner is an undecided major;
Considering the first two events, 17 undecided out of 59 students. So
\(P(C) = \frac{17}{59}\)
Desired probability:
\(P(A \cap B \cap B) = P(A)P(B)P(C) = \frac{23}{61} \times \frac{22}{60} \times \frac{17}{59} = \frac{23*22*17}{61*60*59} = 0.0398\)
So option c.
Find a value for x that will make each of the following equations true. 2. x+8=21 b. 8-32=55 c. 3x=54 d. x/5=10 all I need help with is c
Answer:
C. x = 18
Step-by-step explanation:
3x = 54
First, you try to get x by itself.
To do that, you divide both sides by 3
It looks like this:
3x/3 = 54/3
And it ends up being:
x = 18
Answer:
x + 8 =21; x = 21 -8; x= 13
3x = 54; x =54/3;x= 18
x/5 = 10;x= 10× 5;x= 50
Katie wants to buy a sundress priced at $40.00. If the sales tax is 6%, what is the total amount she must pay for the sundress?
Responses
Answer:
It should be 42.4
What is 2 1/2 in ft?
Answer:
0.20
Step-by-step explanation:
Answer:
30 inches
Step-by-step explanation:
the sum of three consecutive even number is 27
More than two-thirds of undergraduate students who graduated with a bachelor's degree had student loan debt. The average student loan debt among these graduating seniors was $28,654. The average interest rate on student loans was 6.1%. How much interest did a student with $28,654 in student loan debt pay in the first year? Round to the nearest cent.
The interest paid for the loan is $1748
Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,
We need to find the interest paid for the same.
So,
Simple Interest = principal × time × rate / 100
= 28654 × 1 × 6.1 / 100
= 28654 × 0.061
= 1747.894
= 1748
Hence the interest paid for the loan is $1748
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Find the actual area of the triangle below.
Can someone pls help?
Answer:
200 meters2
Step-by-step explanation:
4 * 5 = 20
20 * 20 ÷ 2 = 200
Amanda received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.27 per pound. After
buying the coffee, she had $36.38 left on her card. How many pounds of coffee did she buy?
Answer:
She bought 6 pounds of coffee.
Step-by-step explanation:
80-36.38=43.62
so she spent $43.62 on coffee
43.62 divided by 7.27 = 6
Simplify fully
18(x−3)−6(x−3)2
Answer:
6(x - 3)
Step-by-step explanation:
18(x−3)−6(x−3)2 =>
18x - 54 - 12 (x - 3 ) =>
18x - 54 - 12x + 36 =>
18x - 12x - 54 + 36 =>
6x - 18 or 6(x - 3)
both answers are good, althoguth this second one 6 (x - 3) should be the one that you are looking for
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
A. 9
B. 4/3
C. 1/4
D. 3/4
Please select the best answer from the choices provided.
sin^2 150 de grade + sin^2 60 de grade =1
\(\sf\sin^2 150^\circ + \sin^2 60^\circ = 1 \\\)
Step 1: Convert degrees to radians:
\(\sf\sin^2 \left(\frac{150\pi}{180}\right) + \sin^2 \left(\frac{60\pi}{180}\right) = 1 \\\)
Step 2: Simplify the expressions using the trigonometric identity:
\(\sf\sin^2 \left(\frac{\pi}{6}\right) + \sin^2 \left(\frac{\pi}{3}\right) = 1 \\\)
Step 3: Recall the values of sine for angles \(\sf \frac{\pi}{6} \\\) and \(\sf \frac{\pi}{3} \\\):
\(\sf\left(\frac{1}{2}\right)^2 + \left(\frac{\sqrt{3}}{2}\right)^2 = 1 \\\)
Step 4: Evaluate the squares and simplify further:
\(\sf\frac{1}{4} + \frac{3}{4} = 1 \\\)
Step 5: Combine the fractions:
\(\sf\frac{4}{4} = 1 \\\)
Step 6: Simplify the fraction:
\(\sf1 = 1 \\\)
Thus, the equation \(\sf \sin^2 150^\circ + \sin^2 60^\circ = 1 \\\) is verified and true.
Solve the equation. 2cos2(x+30°)=1 for 0°≤x≤360°
2*\(cos(x+30)^{2}\)=1
x = 15
Please help as fast as possible.
Answer:
B 7.3
Step-by-step explanation:
1/4 times 24 is 24/4 which is 6 plus 1.3 is 7.3 your answer is B
Hope I helped :]
Answer:
Hello There!!
Step-by-step explanation:
1/4×24+1.3=7.3
hope this helps,have a great day!
~Pinky~
What fraction is equal to 2 1/2?
25
32
22
52
Beverly has a bag of marbles that weighs 30 grams. She knows that each marble weighs 1.5 grams and the bag weighs 1.5 grams. Which equation could she use to determine how many marbles are in the bag? Select all that apply. (1.5)x + 1.5 = 30 30 – x = 2(1.5) (1.5)(30) = 1.5x 1.5 + x = 30 1.5x = 30 – 1.5
Answer:
1.5x = 30 - 1.5
Step-by-step explanation:
30 grams minus the weight of the bag 1.5
1.5x x is the number of marbles and the bag so take 1 out and you have an answer which is 28.5 19 marbles
One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 3 units wide.
The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.
To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.
Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.
The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units
Area of the inner rectangle = length × width= 6 × 4 = 24 square units
Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units
Therefore, the area of the shaded region is 264 square units.
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