Let 3n + 1 denote the "number" in question. The claim is that
(3n + 1)² = 3m + 1
for some integer m.
Now,
(3n + 1)² = (3n)² + 2 (3n) + 1²
… = 9n² + 6n + 1
… = 3n (3n + 2) + 1
… = 3m + 1
where we take m = n (3n + 2).
need help asap please
Answer:
[tex]\displaystyle yes[/tex]
Step-by-step explanation:
If the angle of elevation is congruent in both triangles, then both smaller legs are congruent.
I am joyous to assist you at any time.
Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8
Solution :
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
This is a valid probability distribution.
In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.
Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.
Valid probability models add up to 1
The probability is a valid probability model
The probability model is given as:
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
To determine if the model is a valid probability model, or not
We make use of:
[tex]\mathbf{\sum P(x) = 1}[/tex]
So, we have:
[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]
Add the probabilities
[tex]\mathbf{ 1= 1}[/tex]
The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]
Hence, the probability is a valid probability model
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what am i supposed to put in that chart?
Answer:
as explained
Step-by-step explanation:
as in the photo i've shown :
i've shown the table for you both
i've shown the graph for one only the second one hope you can complete it if you have any questions you can ask.
for first one
if x=2 replace x=2 in f(x) you will get f(2)=4
f(3)=1
f(4)=0
f(5)=1
f(6)=4
Why did I start with x=2 and not x=1 because f(1)=9 in the graph provided there is no marking for y=9 but when drawing the graph extends it (as in photo 3 not as in photo 4)(graph in photo 3 is better)
Hope you understand(you can also put(2,4) ,(3,1) and so on in the graph as in photo 5
What is the value of the expression 5ab−7b+c when a=3, b=3, and c=4?
13
24
28
39
Answer: the value of the expression is 28
Step-by-step explanation:
we simply substitute the letters in for the numbers.
5(3)(3) - 7(3) + (4)
we just multiply all of those together.
45 - 21 + 4
answer: 28
Answer:
the value of the expression is 28
Step-by-step explanation:
since we have already been given the values of a, b and c ,we must substitute them in the expression like this:
5(3)(3)-7(3)+4
28
2(5-6f)= 34
I need to find the value of f pls help
Answer:
f=-2
Step-by-step explanation:
2(5-6f)= 34
(5-6f)= 34/2
5-6f= 17
-6f=17-5
-6f=12
f=12/-6
f=-2
Step-by-step explanation:
2(5-6f)= 34
(2*5)-(2*6f)=24
10-12f=34
-12f=34-10
-12f=24
-f=24/12
-f=2
f=-2
A ski are offers two vacation package plans. Plan A gives one person four nights lodging and three dinners for $467. Plan B gives one person five nights lodging and four dinners for $593. Assuming that the lodging and dinner costs per night are the same for both plans, how much does one dinner cost?
Answer:
$37
Step-by-step explanation:
Plan A: 4n + 3d = 467
Plan B: 5n + 4d = 593
4n + 3d = 467
4n = 467 - 3d
4n/4 = 467/4 - 3d/4
n = 116.75 - 3/4d
5n + 4d = 593
5(116.75 - 3/4d) + 4d = 593
583.75 - 3.75d + 4d = 593
0.25d = 593 - 583.75
0.25d = 9.25
0.25d/0.25 = 9.25/0.25
d = 37
Mia cycled 12 miles over two days.
She cycled 7 miles on one day.
How many miles did she cycle on the other day?
19 miles?
7 miles?
5 miles?
12 miles?
A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?
Answer:
The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.
Step-by-step explanation:
To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:
X + 3X + 4X = 40
8X = 40
X = 40/8
X = 5
Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.
A mother gives birth to a 6 pound baby. Every 2 months, the baby gains 5 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y = mx + b that describes the baby's weight.
Y = _____________________
Answer:
Equation: (6x2)x5=?
Step-by-step explanation:
Well, lets see: (x times y), which is (6x2)x5=?
Equation: (6x2)x5=?
I think?
Select the correct answer from each drop-down menu.
The
In a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is
area of the sector formed by the arc is
Assume T = 3.14, and round your answers to the nearest hundredth.
square feet.
100 POINTS
Answer:
87.9? maybe i am not sure
Step-by-step explanation:
Step-by-step explanation:
Circumference of circle = π2r = 14πft.
Angle subtended by arc
= 2π * (Arc length/Circumference)
= 2π * (4ft/14πft) = 0.18π. (2d.p.)
Area of sector = 0.5r²(Angle subtended by arc)
= 0.5 * (7)² * (0.18π)
= 14.00ft². (2d.p.)
Which rule explains why these triangles are similar?
SSS
SAS
AA
none of the above; the triangles cannot be proven similar
Submit
Answer:
The correct answer is:
AA
△
EGH
~△
EFD
Step-by-step explanation:
I got it incorrect the first time. the person above or below me is wrong.
A countertop is 11 feet long and 8 feet wide.
Part 1 out of 2
What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your final answer to 2 decimal places.
The countertop is
square meters.
Part 2 out of 2
Tile costs $28 per square meter. How much will it cost to cover the countertop with new tile?
It will cost $
to cover the countertop with new til
PLZZZZZ
HELPPPPPP
MEEEEEE
PLZZZZZ
aight anybody help me man lol
Answer:
10 4/6 -> 10 2/3
Step-by-step explanation:
simpliest form is the second option :)
A 30 -foot ladder is leaning against a building. The base of the ladder is 18 feet from the side of the building. How high does the ladder reach along the side of the building?
========================================================
Explanation:
Refer to the diagram below. We have a right triangle with known horizontal leg 18, and unknown vertical leg x. The hypotenuse is 30.
Let a = x, b = 18, c = 30.
Apply the Pythagorean theorem to solve for x
a^2 + b^2 = c^2
x^2 + 18^2 = 30^2
x^2 + 324 = 900
x^2 = 900-324
x^2 = 576
x = sqrt(576)
x = 24
The top of the ladder reaches 24 feet high.
A single chocolate muffin has 260 calories, and a blueberry muffin has 240 calories. Both muffins can be bought at the local cafe. Jane goes to the local cafe to have breakfast. Their fruit platter has 210 calories and the french toast is 350 calories. A glass of orange juice is 40 calories and milk is 102 calories. The hashbrowns and eggs are twice the calories of the fruit platter. If Jane has half a blueberry muffin with a whole fruit platter and a third of a glass of milk for breakfast, how many calories did she consume during breakfast?
Answer:
364 calories
Step-by-step explanation:
1/2 of 240=120 calories
fruit platter =210 calories
1/3 of 102=34
120+210+34=364 calories
The amount of calories she consumes during breakfast is 364 calories.
What is an expression?
Expression in maths is defined as the collection of 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.
Given that a single chocolate muffin has 260 calories, and a blueberry muffin has 240 calories. Both muffins can be bought at the local cafe. Jane goes to the local cafe to have breakfast. Their fruit platter has 210 calories and the french toast is 350 calories. A glass of orange juice is 40 calories and milk is 102 calories.
The total amount of calories consumed in breakfast will be:-
1/2 of 240=120 calories
fruit platter =210 calories
1/3 of 102=34
Total calories = 120+210+34=364 calories
Therefore, the amount of calories she consumes during breakfast is 364 calories.
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sam counted his heart beats while resting his heart beat 220 times in 4 minutes Sam heart beat at the same rate for the 4min .complete the ratio of beats to min
Answer: 220:4 or 220 to 4
Step-by-step explanation:
Answer:220:4
Step-by-step explanation:
Please answer quick!!! Will Mark BRAINLIEST!!!
Answer:
picture 1 : 360 cm2
picture 2: sorry I don't really know
picture 3: 11.25 cm2
Step-by-step explanation:
hope this helps
A political action committee wanted to estimate the proportion of county residents who support a change to the county leash law. They took a random sample of 600 county residents and found that the proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:_____
a. If we took another sample of 600 residents the sample proportion would definitely be between 29% and 37%.
b. If we take many other samples from this population 95% of them will have a sample proportion that is between 29% and 37%.
c. We can not conclude anything about the population parameter since this is only a sample.
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
e. There is a 95% chance that the true parameter is 33%.
Answer:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
Step-by-step explanation:
Meaning of a confidence interval:
A x% confidence interval being between a and b means that we are x% sure that the true population proportion is between a and b.
In this question:
Sample of 600, proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:
From the concept of confidence interval above, the correct answer is:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
can u pls help me with this question asap
Answer:
$14670
Step-by-step explanation:
Selling price of the house = $326000
Commission rate of the agency = 4.5%
Commission amount earned by the agency = 326000 × 0.045
= $14670
Commission rate of the agent = 20% of commission earned by the agency
= [tex]\frac{20}{100}\times 14670[/tex]
= $2934
Therefore, agency made $14670 on the house.
rewrite the expression 2+5×4-2 with parenthesis to equal the given value: 12
can you please help me, I cannot find the answer I'm trying to do my homework so my teacher doesn't get mad at me
Answer:
the answer is 9
Step-by-step explanation:
hope i helped :)
Answer:
9
Step-by-step explanation:
3 times 3 is 9
List the angles from least to greatest! URGENT
(BETTER IMAGE)
Answer: Y<W<Z? Im not exactly sure but it looks right to me. Correct me if im wrong though.
Step-by-step explanation:
Answer:
W<Y<Z
Step-by-step explanation:
the side WZ is longer than side ZY, so the angle W is smaller.
PLZZ HELP !! Select the correct answer. What are the zeros of the function y= (x-4)(x^2 - 12x+36)
A. -6,4 and 6
B. 4 and 6
C. -6 and -4
D. 0, 4, and 6
The zeroes of any function are where the function touches or passes through the x-axis.
To find these zeroes, we can factor, and set each part equal to 0.
y = (x - 4)(x^2 - 12x + 36)
It looks like some of the factoring was already done for us! All we have to do is factor the quadratic. To do so, we need two numbers that multiply to equal (a * c) and add up to b. In this case those two numbers are -6 and -6.
y = (x - 4)(x - 6)(x - 6)
Finally, set each part equal to 0!
x - 4 = 0
x = 4
x - 6 = 0
x = 6
x - 6 = 0
x = 6
Therefore, the zeroes of the function are 4 and 6, option B.
Hope this helps!! :)
Please answer thank you
Answer:
y=10.2x
Step-by-step explanation:
x represents hikers
y represents total pounds
What is the value of a2 + 36 2c when a = 3, b = 8, and c = 2?
Answer: 21 +4c
Step-by-step explanation:
Answer:
what is in between 36 and 2c?
A television cost $950, how much is a 7% tax?
Answer:
950x7%=66.5
950+66.5=1016.5 with tax
not sure but here you go
Answer:
is 66.5
?/950= 7/100 7x950=6650 6650 división by 100=66.5
25.7,24.1,---------,20.9,19.3
Answer:
You just have to subtract 1.6 so the missing number is 22.5
Step-by-step explanation:
25.7 ,24.1, 22.5 , 20.9 , 19.3 , 17.7 , 16.1
Please help me and I'll give you a Brainly star
Answer:
Step-by-step explanation:
The answer is (C)
<AEB is congruent to <BEC
4(b-3)=6 put the steps in Oder to solve the equation from first to last
Answer:
B= 9/2 Hope this helped
Let's solve your equation step-by-step.
4(b−3)=6
Step 1: Simplify both sides of the equation.
4(b−3)=6
(4)(b)+(4)(−3)=6(Distribute)
4b+−12=6
4b−12=6
Step 2: Add 12 to both sides.
4b−12+12=6+12
4b=18
Step 3: Divide both sides by 4
The value of b in the expression 4(b - 3) = 6 is 4.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, 4(b - 3) = 6 and we have to solve for b.
4(b - 3) = 6.
4b - 12 = 6. (distributive law a(b+c) = ab + ac).
4b = 6 + 12. (constants change sign when moved to the other sides).
4b = 16.
b = 16/4.
b = 4.
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chau made $270 for 18 hours of work. At the same rate, how many hours would he have to work to make $105
Answer:
7 hours
Step-by-step explanation:
here,
270/18=105/x
x=(105*18)/270
x=7
Chau made $270 for 18 hours of work. At the same rate, Therefore Chau would have to work 7 hours at the same rate to make $105.
To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:
Let x be the number of hours Chau needs to work to make $105.
We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:
Rate = Total earnings / Number of hours
Rate = $270 / 18 hours
Rate = $15 per hour
Now, we can set up the proportion:
$15 per hour = $105 / x hours
To find x, we can cross-multiply:
$15 × x = $105
Now, solve for x:
x = $105 / $15
x = 7 hours
So, Chau would have to work 7 hours at the same rate to make $105.
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