Answer & Step-by-step explanation:
USDA's Dietary Guidelines for Americans provide percent ranges for each macronutrient. For adults, the organization recommends consuming 10%–35% of calories from protein, 45%–65% from carbohydrates, and 20%–35% of calories from fat. They also suggest consuming less than 10% of total calories from saturated fat.
prove fermat's last theorem:no three positive integers a, b, and c satisfy the equation a^n + b^n = c^n for any integer value of n greater than 2
The proofing of Fermat's last theorem shows that y = a² - b², z = a² + b² and x = 2ab.
How to prove fermat's last theorem?The equation x² + y² = z². We can assume that x, y, and z are positive and relatively prime. Suppose that x is even. Then:
(z - y/2)(z + y/2) = (x/2)²
Hence,
(z - y)/2 = b²
(z + y)/2 = a²
Then, y = a² - b², z = a² + b² and x = 2ab.
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How many numbers between 1 and 100 (inclusive) are divisible by 10 and 77?
Answer:
none
Step-by-step explanation:
The only number in the range 1 to 100 that is divisible by 77 is 77. It is not divisible by 10.
No numbers in the range 1 to 100 are divisible by both 10 and 77.
What is the range of this data set? {5, 12, 15, 11, 15, 7, 15, 10, 13}
8
10
12
15
Answer:
B) 10
Step-by-step explanation:
The range of a data set is found by subtracting the smallest term given in the set from the largest term given in the set. First, set the terms in order from least to greatest:
5 , 7 , 10 , 11 , 12 , 13 , 15 , 15, 15 ,
Subtract the greatest (15) with the least (5): 15 - 5 = 10
B) 10 is your answer.
~
Answer:
The answer is b) 10
Step-by-step explanation:
i took the test
binomial distribution
Answer:
Using the binomial distribution, it is found that
P(X > 3) = 0.0256
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, with p probability.
[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]
[tex]C_{n, x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n, x} = \frac{n!}{p!(n - x)!}[/tex]
Binomial distribution:In this question, we have that n = 4, p = 0.4The desired probability is:P(X > 3) = P(X = 4) since it above next whole number above 3
In which
[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]
[tex]P(X = 4) = C_{4, 4} * (0.4)^{4} (1 - 0.4)^{4 - 4}\\C_{4, 4} = \frac{4!}{4!(4 - 4)!}\\\\P(X = 4) = \frac{4!}{4!(0)!} * (0.4)^{4} (0.6)^{0}\\[/tex]
Then
P(X > 3) = P(X = 4)
P(X > 3) = 0.0256
--------------
Given, n = 4, p = 0.4
in your calculator:press 2nd - DISTR
scroll down to A: binompdf( - press enter
type in # of trials (n), P: (probability), and x value (successes)
press enter on Paste
press enter again
excel/sheets:BINOMDIST(num_successes, num_trials, prob_success, cumulative)
=BINOMDIST(4, 4, 0.4, FALSE
A similar problem is given at brainly.com/question/15557838
I have also attached notes on The Binomial Distribution below
Let me know if you have any questions !
Hope this helps :)
please help!!!!!
5) A box of chocolates contains four milk
chocolates and seven dark chocolates.
You randomly pick a chocolate and eat it.
Then you randomly pick another piece.
The first piece is milk chocolate and the
second piece is dark chocolate.
24
25
A)
≈ 0.264
B)
≈ 0.309
91
81
1-14-4
D) None of these
4
15
C)
E)
= 0.25
≈ 0.267
E
Answer:
D. none of these
Step-by-step explanation:
There are a total of 11 chocolates in the box.
The probability of picking milk chocolate first is 4/11.
Now that you eat one, there are 10 chocolates in the box.
The probability of picking a dark chocolate second is 7/10.
This is a compound probability problem, so multiply the two probabilities together.
4/11 x 7/10 = 28/110
Reduce by 2/2
14/55 = .2545
D. none of these
Question 5 options:
Type right or left in the space.
17.2 is 17.2 units to the (right/left) of zero on the number line.
Answer:
17.2 is 17.2 units to the right of zero on the number line.
Step-by-step explanation:
On a number line positive numbers are on the right of 0 and negative numbers are one the left of 0.
Please mark brainliest :)
Answer: Right
Step-by-step explanation:
All positive numbers are to the right of zero on the number line.
All negative numbers are to the left of zero on the number line.
17.2 is a positive number, so;
17.2 is 17.2 units to the (right/left) of zero on the number line.
Suppose you roll a special 9-sided die. What is the probability that the number rolled is a "1" OR a "2"?
Answer:
P(1 or 2) = 2/9
Step-by-step explanation:
OR means we add each probability
If it is 9-sided, I will assume the die will be numbered 1-9
Probability of getting a 1 in mathematical notation is:
P(1) = 1/9
Probability of getting 2:
P(2) = 1/9
We add their probabilities since we want to know if we get either 1 or 2
P(1) + P(2) = 1/9 + 1/9 = 2/9
If the question asked what the probability was of getting a 1 and a 2 by rolling the die twice, we would multiply the probabilities together
1/9 x 1/9 = 1/81
2*5-1/2*10*9 answer will be 45
Express this ratio as a fraction in simplest form. For homework, a student had to complete 15 problems total. If she finished 6 problems in class, what is the ratio of problems she still needs to complete to problems that she's already finished?
Answer:
3:2.
Step-by-step explanation:
They have 15 - 6 = 9 problems to do, so it is:
9:6
= 3:2.
Answer:
9/15
Step-by-step explanation:
15 - 6 = 9 as a fraction would be 9 meaning what is left and 15 as meaning how much they started with so it is 9/15 also called 9 over 15
Hope This Helped
verify the identity algebraically. Start on one side of the equation and manipulate using techniques to arrive at the other side
sin^2 − sin^4 = cos^2 − cos^4
Answer:
Step-by-step explanation:
sin^2 − sin^4 = cos^2 − cos^4
sin^2 (1-sin^2) = cos^2 − cos^4
sin^2 (cos^2) = cos^2 − cos^4
(1-cos^2) (cos^2) = cos^2 − cos^4
cos^2 − cos^4 = cos^2 − cos^4
Which is True :33 Send love
In parallelogram JKLM if LJ=28 find LN.
Answer:
LN = 14
Step-by-step explanation:
In parallelogram diagonals bisect each other. That means that one diagonal cuts the other in half.
LJ is the diagonal and LN is a half of the diagonal.
[tex]\text{LN} = \frac{28}{2} = 14[/tex]
A triangle has a base length of 2ac2 and a height 6 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 2.
The area of the triangle with the given base and height where a = 4 and c = 2 is: 608 cm²
What is the Area of a Triangle?Area = 1/2(base)(height).
Given the parameters:
Base length = 2ac² cmHeight = 2ac² + 6 cmIf a = 4 and c = 2, then:
Area = 1/2(base)(height) = 1/2(2ac²)(2ac² + 6)
Area = 1/2(2 × 4 × 2²)(2 × 4 × 2² + 6)
Area = 1/2(32)(38)
Area = 608 cm²
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Which of the following is not a type of electromagnetic radiation that telescopes can detect?
A. Microwave
B. Ultraviolet
C. Infrared
D. Heliocentric
Answer:
B I just got that question it was B
Geometry is so hard help me!
Answer:
x = 2√5
Step-by-step explanation:
Isosceles right angle triangles have two congruent sides ( for more reference , kindly check the attached image ) making it a special 45-45-90 degree triangle.
Special triangles have simple easy rules to help identify the lengths of the other sides lengths. For the 45-45-90 degree triangle, the hypotenuse (longest side) is equal to the value of the triangles leg(shorter sides) times √2 ( for more reference kindly check the other attached image )
Here, the value of the leg it equal to √10
If the value of the hypotenuse (x) = leg × √2
Then the value of x = √10 × √2
x = √10 × √2 = √(10 × 2) = √20
==> simplify radical
x = 2√5
The dot plot below shows the hourly rate of some babysitters in a city:
A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 4 dots above 4 dollars, 2 dots above 5 dollars, 3 dots above 6 dollars, and 1 dot above 7 dollars. The title of the line plot is Babysitting Rates.
Which statement best describes the shape of the data?
It is a cluster from $1.00 to $7.00 and has no gaps.
It is a cluster from $1.00 to $7.00 and has gaps.
It is not symmetric and has a peak at $4.00.
It is symmetric and has a peak at $7.00.
PLEASE JUST SAY A B C OR D DONT NEED TO EXPLAIN JUST PUT ONE AND YOU WILL GET BRAINLIEST :DDD
Answer:
It is a cluster from $1.00 to $7.00 and
has no gaps.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Find the sum of the whole numbers from 1 to 570
Answer:
162,735
Step-by-step explanation:
570(570 + 1)/2 = 162,735
Consider a triangle ABC like the one below. Suppose that A = 30°, B = 125°, and a = 38. (The figure is not drawn to scale.) Solve the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
Answer:
C = 25°, b = 62.3, c = 32.1
Step-by-step explanation:
The Law of Sines can be used to solve a triangle when two angles and a side opposite one of them is given.
__
third angleThe angle sum theorem can be used to find the third angle.
C = 180° -A -B = 180° -30° -125° = 25°
__
unknown sidesThe Law of Sines tells you ...
a/sin(A) = b/sin(B) = c/sin(C)
b = a(sin(B)/sin(A)) = 38·sin(125°)/sin(30°) ≈ 62.3
c = a(sin(C)/sin(A)) = 38·sin(25°)/sin(30°) ≈ 32.1
The solution is ...
C = 25°, b = 62.3, c = 32.1
A percent is a rate in which the first term is compared to ______
Answer:
From what we know about percentages and unit rates, the correct options are:
1) 100
2) 1
What is a percent?
Suppose we have an amount A, this would be the 100%.
If we want to know how much a quantity B represents, compared to A, we have:
A = 100%
B = x
where x is a percentage, to find the value of x we compute:
x = (B/A)*100%
While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100
PLS MARK ME AS THE BRAINLIST!!!
Which number line represents the solution set for the inequality 3x < –9?
Answer:
oh
Step-by-step explanation:
Let f(x)=x-3 and g(x)= x^2-x. Find and simplify the expression. (f+g)(2)
Answer:
(f+g)(2) = 1Step-by-step explanation:
Given :
f(x) = x − 3
g(x) = x² − x
Note : (f+g)(x) = f(x) + g(x)
then
(f+g)(2) = f(2) + g(2)
= (2 - 3) + (2² - 2)
= -1 + 2
= 1
another method:
(f+g)(x) = f(x) + g(x) = x − 3 + x² − x = x² - 3
then
(f+g)(2) = 2² - 3 = 4 - 3 = 1
Elena is going to a farmer's market for fresh produce. She has two markets to
choose from and hopes to buy both cherries and asparagus. The table shows
the probability that each type of produce will be available at the markets.
North
South
market
market
Cherries
0.96
0.8
Asparagus
0.5
0.65
Assuming that the availability of cherries and the availability of asparagus are
independent of each other, which market should Elena choose to maximize
her chance of buying both?
O A. South market. There is a 0.77 probability of both cherries and
asparagus being available.
B. North market. There is a 0.77 probability of both cherries and
Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.
How to determine the market to choose?The table is given as:
North market South market
Cherries 0.96 0.8
Asparagus 0.5 0.65
The probability of buying both produce at both markets is calculated as:
P(North) = 0.96 * 0.5 = 0.48
P(South) = 0.8 * 0.65 = 0.52
0.52 is greater than 0.48
Hence, Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.
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what is the inverse of the following function: y-x^3=3
Answer:
f^-1(x)=[tex]\sqrt[3]{x-3}[/tex]
two numbers are in the ratio of 10:16 if the sum of numbers is 572 find the numbers.
with steps
Answer:
yo dude dont be upset im doing what you did lol!
In which of the following expressions does the number 2 fill in the blank so that the equation is true? Select all that apply.
A) 5(___ + 4) = 10 + 20
B) 9(3 + ___) = 27 + 18
C) 3(2 + 5) = ___ + 15
D) ___(5 + 6) = 10 + 12
Answer:
except c all
Step-by-step explanation:
because
5(2+4)=10+20
30=30
9(3+2)=27+18
45=45
2(5+6)=10+12
22=22
Answer:
except c all
Step-by-step explanation:
because
5(2+4)=10+20
30=30
9(3+2)=27+18
45=45
2(5+6)=10+12
22=22
Please help me please please
Answer:
[tex]x \leqslant 4[/tex]
Goodluck
Step-by-step explanation:
X is smaller than or equal to 4
Select the correct answer.
A machine uses pieces of tape to seal packages. It cuts the tape Into pieces exactly 2.375 Inches long. If It uses 4 pieces of tape for a package,
how many packages can it seal with a roll of tape 1,900 Inches long?
OA
200 packages
OB. 400 packages
OC 600 packages
OD.
800 packages
Answer:
A. 200 packages
Step-by-step explanation:
The number of packages per roll can be found by dividing the length of a roll by the length of tape needed for each package.
__
For each package:
(2.375 in/piece)×(4 piece/package) = 9.5 in/package
Per roll:
(1900 in/roll) / (9.5 in/package) = (1900/9.5) packages/roll
= 200 packages/roll
The machine can seal 200 packages with a roll of tape 1900 inches long.
PLEADE HELP??????????????
Answer:
A
Step-by-step explanation:
because for combinatioj order are no imoortant
A business serves 18 customers with 67 staff to maintain a strong ratio of staff to guests. How many staff members would be needed if 298 customers are expected?
Answer:
x = 67 *272 = 364.48 = 364 (rounded as requested).
Step-by-step explanation:
Use the proportion
50 = 272
67 x
Round each fraction to help you estimate the solution for the following equation: nine tenths minus four tenths equals 0 one half 1 one and one half
Answer:
1/2
Step-by-step explanation:
9/10 - 4/10 = (9-4) / 10 = 5/10 = 1/2
Answer:
9/10 - 4/10 = 5/10 (0.5) zero and a half.
Step-by-step explanation:
The denominators are the same so you only need to subract 4 from nine, you could even simplify it after by dividing the top of the fraction and the bottom by the same number. goodluck btw
WILL GIVE BRAINLIEST 50 POINTS
1. Are the side lengths congruent?
2. Are the opposite sides parallel?
3. Are the adjacent sides perpendicular?
Answer:
1:If three pairs of sides of two triangles are equal in length, then the triangles are congruent. ASA (angle-side-angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent. 2:All sides are equal in length. Diagonals bisect each other at a 90-degree angle. The sum of any two adjacent interior angles is 180 degrees. Opposite sides are equal and parallel to each other.3:Each pair of opposite sides is parallel, and adjacent sides are perpendicular. This means that every angle in a rectangle is a right (90∘) angle.
Step-by-step explanation: