I'm not 100% sure, but imma have a go.
Answer:
a = 261; b = 253
Step-by-step explanation:
label candy bar A as a
label candy bar B as b
Make 2 equations.
2b + a = 767 (1)
b + 2a = 775 (2)
Solve for a in (1)
2b + a = 767 (-2b)
a = -2b + 767
Substitute for into (2)
b + 2( -2b + 767 ) = 775 (flip)
2( -2b + 767 ) + b = 775 (solve)
−4b + 1534 + b = 775 (add b)
-3b + 1534 = 775 (subtract 1534 from both sides)
−3b = −759 (divide both sides by 3)
b = 253
Substitute b into (1)
a = -2b + 767 (substitute)
a = -2 (253) + 767 (solve)
a = -506 + 767 (add)
a = 261
Is this right?
Plz
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Answer:
A=706.5 ft^2
Step-by-step explanation:
Area of circle: π r^2
r=radius
In this case, r=15
So,
A=3.14(15^2)
A=3.14*225
A=706.5 ft^2
In Prof. Leahy's class, if a student does homework most days, the chance of passing the course is 90%. On the other hand, if a student does not do homework most days, the chance of passing the course is only 30%. Prof. Leahy claims that 70% of his students do homework on a regular basis. If a student is chosen at random from Prof. Leahy's class, find the following probabilities:
a. p(the student did not do homework and he/she passed the course)
b. p(the student did not do homework given that she/he passed the course)
Answer:
a) p(the student did not do homework and he/she passed the course) = 0.09
b) p(the student did not do homework given that she/he passed the course) = 0.125.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. p(the student did not do homework and he/she passed the course)
If a student does not do homework most days, the chance of passing the course is only 30%. 100 - 70 = 30% don't do homework on a regular basis.
So
0.3*0.3 = 0.09
p(the student did not do homework and he/she passed the course) = 0.09
b. p(the student did not do homework given that she/he passed the course)
Conditional probability.
Event A: Passed the course
Event B: Did not do homework.
p(the student did not do homework and he/she passed the course) = 0.09
This means that [tex]P(A \cap B) = 0.09[/tex]
Probability that the student passes the course:
90% of 70%(do homework)
30% of 30%(do not do homework).
This means that:
[tex]P(A) = 0.9*0.7 + 0.3*0.3 = 0.72[/tex]
p(the student did not do homework given that she/he passed the course)
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]
So
p(the student did not do homework given that she/he passed the course) = 0.125.
Which is not a true statement about the disadvantages of certain methods of payment?
Answer:
I dont know explaining more its not clear plz explaining ore
Can someone pls help me
Answer:
x = 15.42
Step-by-step explanation:
cos 63° = 7/x
0.4540 x = 7
x = 15.42
pls help me under stand this
9514 1404 393
Answer:
5 ft
Step-by-step explanation:
You are given the area and base lengths of a trapezoid and asked for its height. The formula for the area of a trapezoid is useful.
A = (1/2)(b1 +b2)h
Filling in the given information, you have ...
30 ft² = (1/2)(4 ft +8 ft)h
30 ft² = (6 ft)h . . . . . . . . . . . simplify
h = (30 ft²)/(6 ft) = 5 ft . . . . divide by the coefficient of h
The height of the trapezoid is 5 feet.
which statement correctly compares the two functions given below? f(x) =-32x-17 g(x) =-8x+12 A. Function f(x) decreases at a rate 4 times faster than function g(x) B. Function g(x) decreases at a rate 24 times faster than function f(x) C. Function g(x) decreases at a rate 4 times faster than function f(x) D. Function f(x) decreases at a rate 24 times faster than function g(x)
Answer: A
Step-by-step explanation:
2. A penguin is setting on an iceberg 157 feet above the water? If a walrus is in the water 312 feet from the base of the iceberg, what is the angle of depression from the penguin to the walrus?
Answer: 26.7
Step-by-step explanation:
Answer:
26.7
Step-by-step explanation:
The Smiths are moving across the country. Mr. Smith leaves 5 hours before Mrs. Smith. If he averages 75mph and she averages 95mph, how many hours will it take Mrs. Smith to catch up to Mr. Smith?
Answer:
How much of a head start in miles did Mr. Smith have?
+d%5B1%5D+=+60%2A4+
+d%5B1%5D+=+240+ mi
------------------
Start a stopwatch when Mrs. Smith leaves. Let +t+
= the time on the stopwatch in hrs when Mrs. Smith
catches up with Mr. Smith.
Let +d+ = the distance in miles that Mrs. Smith
travels until she overtakes Mr. Smith
------------------
Mr. Smith's equation:
(1) +d+-+240+=+60t+
Mrs. Smith's equation:
(2) +d+=+80t+
-------------------
Substitute (2) into (1)
(1) +80t+-+240+=+60t+
(1) +20t+=+240+
(1) +t+=+12+
Mrs. Smith overtakes Mr. Smith in 12 hrs
-------------------
check:
(2) +d+=+80t+
(2) +d+=+80%2A12+
(2) +d+=+960+ mi
and
(1) +d+-+240+=+60t+
(1) +d+-+240+=+60%2A12+
(1) +d+=+240+%2B+720+
(1) +d+=+960+ mi
13
What is the inverse of when
15
multiplying fractions?
13
A
15
15
B
13
13
C с
13
15
D
15
Answer:
Step-by-step explanation:
15x13=?
15+15+1=31
so the answer is 31
At a restaurant, the bill comes to $90. If you decide to leave a 17% tip, how much is the tip?
Answer:
$15.30
Step-by-step explanation:
To find 17% of 90 you would have to do;
0.17x90 = 15.3
Therefore, the tip would come out to be $15.30
Simplify
b + 4 + 4 + b=
Answer:
2b+8 is the simplify expression
Answer:
b + 4 + 4 + b=
= +b +b +4 +4
= 2b + 8
__________________________
another way
b + 4 + 4 + b=
= +b +b +4 +4
= 2b + 8
= b = [tex]\frac{8}{2} \\\\[/tex]
= b= 4
Ans: b= 4
Помагите даю оччен много баллов
Answer:
2. 4.46
3. 12
Step-by-step explanation:
2. D = [tex]\frac{P}{\pi }[/tex] = [tex]\frac{14}{3.14}[/tex] = 4.458 = 4.46
3. [tex]\frac{4}{5} = \frac{x}{15}[/tex]
5 * x = 4 * 15
5x = 60
x = [tex]\frac{60}{5}[/tex] = 12
What is the quotient of 20 divided by one fourth?
Answer: 80 i think
Step-by-step explanation:
Find the area of this triangle. Round to the nearest whole number.
Answer:
[tex]35 cm^{2}[/tex]
Step-by-step explanation:
5 x 14 divided by 2 = 35
Priscilla makes a profit of $24.50 on every scarf she sells the materials for each scarf cost $8.39 how much does Priscilla sell each scarf for?
Answer:
SP = $32.89
Step-by-step explanation:
Given that,
CP of every scarf = $8.39
Profit = $24.50
We need to find the SP for each scarf. We can find it as follows :
SP = CP +profit
SP = 8.39+24.50
SP = $32.89
So, Priscilla sells each scarf for $32.89.
A rental car company charges $40.18 per day to rent a car and $0.05 for every mile driven. Jacob wants to rent a car, knowing that:
He plans to drive 75 miles.
He has at most $270 to spend.
Which inequality can be used to determine dd, the maximum number of days Jacob can afford to rent for while staying within his budget?
A. 270≥40.18(3.75+d)
b.270≥40.18d+3.75
c.270≤40.18d+3.75
d.270≤40.18(3.75+d)
Answer:
b) 270 ≥ 40.18d + 3.75
Step-by-step explanation:
Per day is a variable, so it's 40.18d
Per mile is also a variable so 0.05m
40.18d + 0.05m ≤ 270
40.18d + 0.05(75) ≤ 270
40.18d + 3.75 ≤ 270
Answer: 270 ≥ 40.18d + 3.75
Johnson and Leone (Statistics and Experimental Design in Engineering and the Physical Sciences, John Wiley, 1977) describe an experiment conducted to investigate warping of copper plates. The two factors studied were temperature and the copper content of the plates. The response variable is the amount of warping. Some of the data are as follows:_____.
40 100 Temperature (°C) 50 75 100 Copper Content (%) 60 80 16, 21 24, 22 18, 13 17, 12 18, 21 25, 23 23, 21 23, 22 17, 20 12,9 16, 12 21, 17 28, 27 27,31 30, 23 125 29, 31
Do a complete analysis. Your analysis should include the following 1. What are the factors, respective factor levels and the response variable? 2. Check the two assumptions. 3. Check overall model significance using ANOVA table 4. Check the significance of Interaction effect and Main effects (If necessary) 5. Conclusion.
Answer:
Design Expert Output Response: Warping ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of Mean F Source Squares DF Square Value Prob > F Model 968.22 15 64.55 9.52 < 0.0001 significant A 698.34 3 232.78 34.33 < 0.0001 B 156.09 3 52.03 7.67 0.0021 AB 113.78 9 12.64 1.86 0.1327 Residual 108.50 16 6.78 Lack of Fit 0.000 0 Pure Error 108.50 16 6.78...
Step-by-step explanation:
Which of the following is the least reduced equivalent of 243/729?
A.2/6
B.1/3
c.3/9
D. 1/2
Answer:
B.1/3
Step-by-step explanation:
Dividing by 3.
243/729
81/243
27/81
9/27
3/9
1/3
List all possible outcomes.
Mariah and Caitlyn are moving a sofa for their teacher. If the sofa weighs 350 kg, how fast did the sofa accelerate if a 48 N force was applied?
Answer:
[tex]7.291(6)\frac{m}{s^2}[/tex]
Step-by-step explanation:
Firstly, there's definitely large friction with a sofa, so we cannot answer.
Assming there is no friction:
The acceleration is directly proportional to force and inversely proportional to mass (makes sense, right?)
[tex]a = \frac{F}{m}\\a = \frac{350kg}{48N} = \frac{350kg}{48\frac{kg\cdot m}{s^2}} = \frac{350}{48}\frac{m}{s^2} = 7.29166666\ldots\frac{m}{s^2}[/tex]
The area of the figure is Square units.
Answer:
8
Step-by-step explanation:
Math
Phyllis snow borrowed 3200 to pay for a new roof. She signed a 6-month promissory note at 12% interest. find the amount
Does anyone know the answer?
Answer:
1 is the answer
What is the value of x?
Answer:
30
Step-by-step explanation:
the 60 degrees can be transferred to the side right next to the 4x. that means 4x+60=180, 4x=120, x=30
simplify the following indices :
6²×3²×3³×6⁴
Answer:
The answer is 11,337,408
Step-by-step explanation:
6^2 = 36, 3^2 = 9, 3^3 = 27, and 6^4 = 1296.
when you multiply them all together, you get 11,337,408.
2. 19 x - x = + 1, what is the value of x?
Answer:
x=1/18
Step-by-step explanation:
19x-x=+1
18x=+1
x=1/18
pls pls pls help!!!!!!
9514 1404 393
Answer:
ornament area = 379.8 cm²paint needed: 114 bottlesStep-by-step explanation:
The surface area of one cone with slant height s and radius r is ...
SA = πr² +πrs = πr(r+s)
For the cone that is half an ornament, the surface area is ...
SA = (3.14)(4.2 cm)(4.2 cm + 10.2 cm) = 189.9072 cm²
The area of one ornament is the area of two cones:
one ornament area = 2×189.9072 cm² ≈ 379.8 cm²
60 ornaments will be 120 cones, so will have a total surface area of ...
total area = 120(189.9072 cm²) = 22,788.864 cm²
__
If one bottle of paint will cover 201 cm², then the number of bottles of paint required is ...
(22788.864 cm²)/(201 cm²/bottle) ≈ 113.4 bottles
b. 13(y−10)=−4
1
3
(
y
-
10
)
=
-
4
y =
Which equation represents a line which is parallel to the y-axis?
Submit Answer
O y = x + 2
O2 = -2y
O y = -1
O2 = -2
Answer:
the 2nd one
Step-by-step explanation:
Find the missing value that makes the equation true. 15 + 30 = (3 + 6)