The weight of the boy in the robot costume is 351/8 lb or 43 7/8 lb.
To find the weight of the boy, we need to subtract the weight of the costume from the total weight of the boy in the costume.
Total weight of boy and costume = 50 7/8 lb
Weight of costume = 3 1/2 lb
To find the weight of the boy, we can subtract the weight of the costume from the total weight:
Weight of boy = Total weight - Weight of costume
Convert both the total weight and the weight of the costume to improper fractions:
Total weight = 50 + 7/8 = 400/8 + 7/8 = 407/8 lb
Weight of costume = 3 + 1/2 = 6/2 + 1/2 = 7/2 lb
Now, subtract:
Weight of boy = (407/8) lb - (7/2) lb
To perform subtraction, we need to have a common denominator, which is 8 in this case:
Weight of boy = (407/8) lb - (56/8) lb
Now, subtract the fractions:
Weight of boy = (407 - 56)/8 lb
Weight of boy = 351/8 lb
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Jerry left a $5.55 tip on a meal that cost $37. What percent of the meal's cost was the tip? What was the total cost of the meal including the tip?
what is the percent of $300,000=$75,000
Answer:
25%
Step-by-step explanation:
75000/30000=75/300=25/100=25%
Answer:
25%
Step-by-step explanation:
(75,000/300,000) (100)
(0.25) (10)
= 25
Katie invested a total of $6000 part at 3% simple interest and part at 4% simple interest at the end of one year the investment had earned $216 interest how much was invested at each rate?
Answer:
$3600 at 4%$2400 at 3%Step-by-step explanation:
Let x represent the amount invested at 4% (the higher rate). Then the amount invested at 3% is (6000-x), and the total interest earned is ...
0.04x + 0.03(6000 -x) = 216
0.01x +180 = 216 . . . . simpilfy
0.01x = 36 . . . . . . . . subtract 180
x = 3600 . . . . . . . . multiply by 100
6000-x = 2400
Katie invested $3600 at 4% and $2400 at 3%.
b) Are there any overall patterns in the data set? Striking deviations? Use
mathematical reasoning to justify your answer. (2 points)
Answer:
There is an outlier at 0, and a gap at 1,2, and 3. The peak is at 5, and the plot is more or less skewed left.
Step-by-step explanation:
What is 15 with exponent 1/3 in radical form?
Answer:
[tex]\sqrt[3]{15}[/tex]
Step-by-step explanation:
15^(1/3) in radical form is [tex]\sqrt[3]{15}[/tex]
To express 15^(1/3) in radical form, we have to first understand what radical form is. It is the expression in a form whereby there exists no fraction and or square roots again. And thus, we have to eliminate the power in this question.
15^(1/3) = 15 which when simplified further, we get [tex]\sqrt[3]{15}[/tex]
Have the best day ever! :D
SectionA
find A and B?
B=
6 9-5
A:
- 10 -4 -8
4 16 6
7
8 4
1 2 -9
19 5 6
9 6
Answer:
B=24
A= I don't know what that means
Step-by-step explanation:
Please hurry I have to do it in 2 minutes
Answer:
[tex]w-0.15 = 0.25[/tex]
Step-by-step explanation:
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be % confident that his estimate is within percentage points of the true population percentage
Using the margin of error, it is found that he must survey 601 adults in order to be 95% confidence that his estimate is within 4 percentage points of the true population percentage.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confident, hence:
[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
We have no estimate, hence, [tex]\pi = 0.5[/tex] is used.
Within 4%, hence, it is needed to find n for which M = 0.04.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]
[tex]n = 600.25[/tex]
Rounding up, 601 adults must be sampled.
A similar problem is given at https://brainly.com/question/15133177
indicate which property is illustrated below. 10 x + 11 x=(-10 + 11) x
Answer:
distributive property
Step-by-step explanation:
I ASSUME that you meant to lead the equation with a negative sign.
- 10x + 11x = (-10 + 11)x
(3.71 + (-5.25))(4+(-9)
Answer:
You need a calculator to solve, but here: 7.7
Step-by-step explanation:
u missed a few paranthesis. I solved this instead: (3.71 + (-5.25))(4+(-9))
first subtract 3.71 by 5.25 to get -1.54 then subtract 4 by 9 to get -5. Then you multiply them to get 7.7.
At the movies, tickets cost $16.50 for adults and $5.50 for kids under 12. How many total tickets would someone get if they purchased 11 adult tickets and 16 kids tickets? How many total tickets would someone get if they purchased aa adult tickets and kk kids tickets?
Answer: 27 tickets a+k
Step-by-step explanation:
11+16
Can someone please help me
Step-by-step explanation:
it will be around $90.86
Answer:
No. of adults who answered 'yes'
= 20% × 1073
= 214.6
Total amount of money paid
= (18%×$77)+$77
= $13.86+$77
= $90.86
Twenty-five students were randomly selected and asked "How many hours of TV did you watch this weekend?" The sample mean for the data is 5 hours.
The dotplot below shows the distribution of the sample mean hours of TV watched for 500 random samples of size 25 taken with replacement from the
original sample.
45
6
S.S
Simulated sample mean
Distribution of Simulated Mean
• samples mean SD
500 4.969 0.288
Use the results of the simulation to approximate the margin of error for the estimate of the mean number of hours of television watched. (answer in the
format 0.123)
Using a confidence level of 95%, the margin of error for the estimate of the mean number of television hours watched will be 1.129
The approximate margin of error can be calculated using the relation :
Margin of Error = [tex] Z_{\frac{α}{2}} \frac{σ}{\sqrt{n}} [/tex] Sample size, n = 25 Standard deviation, = 2.88Confidence level = 95% [tex] Z_{\frac{α}{2}} = 1.96 [/tex]Margin of Error = [tex] 1.96 \frac{2.88}{\sqrt{25}} [/tex]
Margin of Error = [tex] 1.96 \frac{2.88}{5} [/tex]
Margin of Error = [tex] 1.96 \times 0.576 [/tex]
Margin of Error = [tex] 1.129 [/tex]
Therefore, the margin of error for the estimate of the mean number of television hours watched is 1.129.
Learn more : https://brainly.com/question/25630111
A box of donuts containing 6 maple bars, 3 chocolate donuts, and 3 custard filled donuts is sitting on a counter in a work office. Warren comes along and decides to eat two in a row. What is the probability that Warren will eat a chocolate donut and then a custard filled donut
Probabilities are used to determine the chances of selecting a kind of donut from the box.
The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068
The given parameters are:
[tex]\mathbf{Bars = 6}[/tex]
[tex]\mathbf{Chocolate = 3}[/tex]
[tex]\mathbf{Custard= 3}[/tex]
The total number of donuts in the box is:
[tex]\mathbf{Total= 6 + 3 + 3}[/tex]
[tex]\mathbf{Total= 12}[/tex]
The probability of eating a chocolate donut, and then a custard filled donut is calculated using:
[tex]\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}[/tex]
So, we have:
[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}[/tex]
Simplify
[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}[/tex]
Multiply
[tex]\mathbf{Pr = \frac{9}{132}}[/tex]
Divide
[tex]\mathbf{Pr = 0.068}[/tex]
Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068
Read more about probabilities at:
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Question 24 of 25
Which of these shows the result of using the first equation to substitute for y
in the second equation, then combining like terms?
y = 3x
3x + 2y = 18
ОА. Зу = 18
B. 3x = 18
O C. 9x = 18
O D, 6x = 18
SUBMIT
Answer:
C. 9x=18
Step-by-step explanation:
3x+2(3x)=18
3x+6x=18
9x=18
For any right triangle, the sum of the sqaures of the legs is equal to the square of the hypotenuse
Answer:
Pythagorean Theorem. The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs of the right triangle. This same relationship is often used in the construction industry and is referred to as the 3-4-5 Rule.
simplify 1/3 : 2.5 : 3 3/4
Answer:
i dont know
Step-by-step explanation:
Answer:
4 : 30 : 45
Step-by-step explanation:
The least common denominator of the fractions 1/3, 1/2, and 1/4 is 12. Multiplying the ratio by 12 gives ...
(1/3) : (2.5) : (3 3/4) = (12)(1/3) : (12)(2.5) : (12)(3 3/4)
= 4 : 30 : 45
6
Mr. Drake has to drive 546 miles on a trip. He has drijven 48% of the way. About how
miles has he driven?
What is the leading coefficient of the polynomial f (x) defined below? f (x) = 9x^3 - 7x
well, first off let's check which term has the highest degree, hmmm in this case it has to be the x³, so that's the leading term and its coefficient is 9.
The function f(x) = In(x) has a domain of all real numbers greater than zero and a range of all real numbers. The
inverse of this function is f^-1(x) = e^x
Which conclusion can be drawn by comparing the two functions?
The domain of f^-1(x) is all real numbers and the range is all real numbers.
The domain of f^-1(x) is all real numbers greater than 0 and the range is all real numbers.
The domain of f^-1(x) is all real numbers and the range is all real numbers greater than 0.
The domain of f^-1(x) is all real numbers greater than 0 and the range is all real numbers greater than 0.
Answer:
The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.
Step-by-step explanation:
1 1/16 divided by 1/1/16
Answer:
i dont know
Step-by-step explanation:
i really dont know
convert into Improper fraction
4 3/4
Answer:
Improper fraction = 19/3
Step-by-step explanation:
To convert to improper fraction;
1.) multiply the denominator with the whole number,
2.) then add the number you got with the numerator (this will be you new numerator)
3.) keep the denominator the same for the new fraction
Hope this helps!
Hello!
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4 3/4
First, we multiply the whole number by the denominator:
16
Then, we add the numerator:
19
19 is the numerator for our fraction.
Now, the denominator stays the same:
[tex]\frac{19}{4}[/tex] is our answer. Hope it helps you!
~SparklingFlower
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Drag the tiles to the correct boxes. Not all tiles will be used. What are the domain and the range of function f? range arrowRight domain arrowRight
here are the correct answers :)
what is the area of the soccer field if x=40m?
base is 2x+20
height is x+20
Which equation would you use to solve the following situation?
There are 6 cookies in the cookie jar. Sean bakes some more and now there are 15 cookies in the jar. How many cookies did Sean bake?
6 + x = 15.
x - 6 = 15.
15 + 6 = x.
6 - x = 15.
Answer:
6+x=15 (x=9)
Step-by-step explanation:
6 cookies + the newly baked ones = 15 cookies
we know there was 6 cookies and we knew that the result is 15, which means that we "don't know" how many cookies are baked. So the answer is 6+x=15
x/-5+6 is greater than or equal to 2
Answer:
[tex]x\geq 2[/tex]
Step-by-step explanation:
Write out the problem
[tex]\frac{x}{-5+6} \geq 2[/tex]
Simplifiy -5 + 6 = 1
[tex]\frac{x}{1} \geq 2[/tex]
Remember that any fraction with a denominator of 1 is equilvalent to the numerator, so
[tex]\frac{x}{1} =x[/tex]
[tex]x\geq 2[/tex]
y/x dy/dx=(1+x^2)^-1/2(1+y^2)^1/2
Answer:
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c
Step-by-step explanation:
This is separable.
Multiply x dx on both sides and divide both sides by (1+y)^(1/2) to obtain:
y/(1+y)^(1/2)=(1+x)^(-1/2) x dx
Using law of exponents to get rid of negative exponent by finding reciprocal:
y/(1+y)^(1/2)=x/(1+x)^(1/2) dx
Let u=(1+y)^(1/2).
Then u^2=1+y.
Differentiate: 2 u du=dy
[Let v=(1+x)^(1/2).]
Plug in our substitution:
(u^2-1) 2u du/u=(v^2-1) 2v dv/v
Simplify:
(u^2-1) 2 du=(v^2-1) 2 dv
Integrate both sides:
(u^3/3-u) 2+L=(v^3/3-v) 2+K
Divide both sides by 2:
u^3/3-u +L/2=v^3/3-v+K/2
K/2-L/2 is just a constant value C:
u^3/3-u=v^3/3-v+C
Use substitution again to put back in terms of x and y:
((1+y)^(1/2))^3/3-(1+y)^(1/2)=((1+x)^(1/2))^3/3-(1+x)^(1/2)+C
Simplify the exponent part a bit:
(1+y)^(3/2)/3-(1+y)^(1/2)=(1+x)^(3/2)/3-(1+x)^(1/2)+C
I don't like the division by 3 so multiply both sides by 3:
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+3C
3C is still just an unknown constant, c.
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c
Pls he’ll I’ll brainlest and add extra points
4
the other really do not make sense
Answer:
2
Step-by-step explanation:
What are the zeros of the polynomial function ()=(−2)(+4)(−5)?
Answer:
I dont know sry
Answer:
A p (x) = x3_ 7x2 _ 2x_ 40
B p (x) = x3 + 7x2 _ 2x_ 40
C p (x) =x3 _ 7x2 + 2x + 40
D p(x) = x3 +7x2 _ 2x + 40
2/3 cup of juice for every 1/3 cup of oj. How many cups of juice is used for 1 cup of OJ
[tex]\begin{array}{ccll} Juice&OJ\\ \cline{1-2} \frac{2}{3}&\frac{1}{3}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{~~\frac{1}{3} ~~}{1}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{1}{3}\implies \cfrac{~~ \frac{2}{3}~~}{\frac{x}{1}}=\cfrac{1}{3} \\\\\\ \cfrac{2}{3x}=\cfrac{1}{3}\implies 6=3x\implies \cfrac{6}{3}=x\implies 2=x[/tex]