Answer:
The score on the remaining test is x = 61
Hence, option D is correct.
Step-by-step explanation:
Let 'x' be the score of the remaining test
The average score of Nadine's six tests = 77
so
Average score = (88+65+75+83+90+x) / 6
substituting average score = 77 in the equation to find 'x'
77 = (401 + x) / 6
401 + x = 77 × 6
x = 462 - 401
x = 61
Therefore, the score on the remaining test is x = 61
Hence, option D is correct.
The area of the rectangle is 64.8 square centimeters. What is the perimeter of the rectangle? 10cm and 8cm
The perimeter of the given rectangle is 32.2 cm.
What is a perimeter?The perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.
Given that, The area of the rectangle is 64.8 square centimetres.
Area = l*w
l*w = 64.8
l = 64.8/w
Perimeter = 2(l+w)
= 2(64.8/w+w)
= 129.6/w +2w
We take the derivative of P and set it to 0,
dP = -129.6/w²+2
-129.6/w²+2 = 0
129.6/w² = 2
2w² = 129.6
w² = 64.8
w = 8.05
Now, we have,
l = 64.8/w
∴ l = 64.8/8.05 = 8.05
The perimeter = 2(l+w)
= 2(8.05+8.05)
= 2*16.10
= 32.2 cm
Hence, The perimeter of the given rectangle is 32.2 cm.
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trapped in a cell that contains 3 doors. The first door leads to a tunnel that returns her to back tothe cell after 2 days of travel. The second door leads to a tunnel that returns her back to the cell after 4days of travel. The third door leads her freedom after 1 day of travel. If it is assumed that Ally will alwaysselect doors 1, 2, and 3 with probabilities 0.5, 0.3, and 0.2 (respectively), what is the expected number ofdays until she reaches freedom
Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
[tex]E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})[/tex]
[tex]E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2[/tex]
Solving for E[X]; we get
E[X] = 12
Count by 5’s starting with 99
104, 109, 114, 119, 124, 129, 134, 139, 144, 149
hehe
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Slope from graph 2
Find the Slope!
Answer:
y= -4x+4
Step-by-step explanation:
so the slope is -4x
Answer:
5/2 is the slope
Step-by-step explanation:
Rise/Run= 5/2
so, slope=5/2
What is quardtric form
Answer:
445
Step-by-step explanation:
1 poll
Olivia is 4 feet 10 inches tall. She compared her height with her younger
sister, Susan, and found that Susan is 15 inches shorter than she is. What is
Susan's height, in inches?
Answer:
Step-by-step explanation:
4 feet = 48 inches, add 10 inches = 58 inches
if susan is 15 inches shorter, 58- 15 = 43
43/12 = 3 feet 5 inches
Plz Help!!!
Will Give Brainliest to the First Person that answers!!!
Answer:
20
Step-by-step explanation:
Five years ago, Max was twice as old as Bert. A year from now, the sum of their ages would be 30. How old are they now? Show your solution.
Answer:
Max is 17 years old and Bert is 11 years old
Step-by-step explanation:
System of Equations
Let's call
x = current age of Max
y = current age of Bert
x - 5 = age of Max five years ago
y - 5 = age of Bert five years ago
x + 1 = age of Max one year from now
y + 1 = age of Bert one year from now
According to the conditions of the problem:
x - 5 = 2(y - 5) [1]
x + 1 + y + 1 = 30 [2]
Operating and simplifying [1]:
x - 5 = 2y - 10
x = 2y - 5 [3]
Operating and simplifying [2]:
x + y + 2 = 30
x + y = 28 [4]
Substituting [3] in [4]:
2y - 5 + y = 28
Simplifying:
3y - 5 = 28
3y = 33
y = 33/3
y = 11
From [3]:
x = 2*11 - 5
x = 22 - 5
x = 17
Max is 17 years old and Bert is 11 years old
Please help as fast as you can
Tickets for all of the described charity raffle games cost $2 per ticket .identify the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200
Answer:
Step-by-step explanation: this is for plato users!
The question is below
9514 1404 393
Answer:
162°
Step-by-step explanation:
The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.
So, central angle ABC is twice the measure of inscribed angle ADC:
m∠ABC = 2·81° = 162°
21 is 75% of what see answer
Answer:
84
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
75% is 3/4 of the whole.
Knowing this, you can divide 21 by the numerator (3)
21 ÷ 3 = 7
Since the denominator is 4,
You need to multiply 7 by 4.
7 × 4 = 28
The answer is 28
Type the correct answer In each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 - 4i
Equation B (x + yi) - (-6 + 14i) = 18 + 2i
In equation A, x =
and y =
In equation B, r =
and y =
9514 1404 393
Answer:
A: x = -1 and y = 3
B: x = 12 and y = 16
Step-by-step explanation:
In each case, you can add the opposite of the constant to find the variable.
Equation A
(x +yi) +(4 -7i) = (3 -4i)
(x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides
x +yi = (3 -4) +(-4-(-7))i = -1 +3i
x = -1 and y = 3
__
Equation B
(x +yi) -(-6 +14i) = (18 +2i)
(x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides
x + yi = (18 -6) +(2 +14)i = 12 +16i
x = 12 and y = 16
Answer:
In equation A: x=-1 and y=3
In equation B: x=12 and y=16
Step-by-step explanation:
1) -1 = x – 5
2) -5x + 2 = 17
PLS ANSWER PLS PLS PLS
The answer choices are
J
L
H
K
Multiply the following complex numbers: (-7+ ) and ( + i). Show all work and explain the steps you are taking in the work.
Answer:
Step-by-step explanation:
in complex number land there are two distict parts real.. the first number and imaginary.. the second number with the i
if your problem really only has a 7 and an i in it.. then it looks like below
7 * i = 7i
but..I suspect you just left out a bit of the problem.. repost .. i'll answer it again if the problem is different that what you posted already :)
The complex number is indeed the product of real and imaginary numbers. It's stated in proper format as a + bi, where a reflects the current part while bi represents the imaginary part, Either because portion could be 0 in theory, any actual or imagined integer can be considered a complex number, and further calculation can be defined as follows:
Given:
[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]
To find:
Multiply complex numbers.
Solution:
[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]
[tex]\therefore\\\\\to \bold{a+ib}[/tex]
In these questions, the value of a is missing so,
[tex]\to \bold{-7+ \times +i}\\\\\to \bold{-7 \times i}\\\\\to \bold{-7i}\\\\[/tex]
Therefore, the final answer is "-7i".
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Someone pls help me :((
Answer:
They are both correct.
Step-by-step explanation:
4(-7)(-1) equals 28. 4(7) is also equal to 28, meaning that Josh is correct. 2 negatives equals a positive, so (-28)(-1) will also be 28. This means Evangelina is also correct.
The temperature at noon is 75 degrees. The temperature drops 3 ½ degrees every half hour because a cold front starts coming through the area. What is the temperature at 4 P.M.?
Answer:
47 degrees
Step-by-step explanation:
3 1/2 x 8= 28
75-28= 47
Place each pair of angles in the correct column.
Answer:
congruent: 1 & 8,
congruent & corresponding: , 4&8
supplementary: 2&5, 3&5, 3&4
i don’t see how anything can be congruent AND supplementary unless the angles are both 90.... hope this helped
10 more than a number w is -2.6
Answer:
10 + w = -2.6
Step-by-step explanation:
"Five less than
the quotient of
a number and
3 is -7°
A. 5 - X/3-7
B. -7 +x/3
C. X3 - 5 =-7
D. 5 - 4/2 = -7
) Buyers are charged a shipping fee of $4.75 for each scarf order.
Which expression can you use to find the total price of a scarf order?
Answer:
huh can you put the whole question?
Step-by-step explanation:
Put all the answers
Step-by-step explanation:
If sec theta>0 and tan theta<0, the terminal side of angle theta must lie in
Answer:
the last one
Step-by-step explanation:
super easy bro tell me if its right
The odds against an event are 7:8. Find the probability that the event will occur.
A) 7/15
B) 8/15
C)7/8
D) 8/7
Answer:
7/15
Step-by-step explanation:
Write 2 equations needed to solve this problem
Answer:
x = - 8, x = - 6
Step-by-step explanation:
Given
8 | x + 7 | - 3 = 5 ( add 3 to both sides )
8 | x + 7 | = 8 ( divide both sides by 8 )
| x + 7 | = 1
The expression inside the bars can be positive or negative, thus
x + 7 = 1 or - (x + 7) = 1 ← 2 equations to be solved
x + 7 = 1 ( subtract 7 from both sides )
x = - 6
or
-(x + 7) = 1
- x - 7 = 1 ( add 7 to both sides )
- x = 8 ( multiply both sides by - 1 )
x = - 8
The measures of the angels of a triangle are show. In the figure below solve for x
Answer:
54
Step-by-step explanation:
90+36= 126
180-126= 54
A machine fills boxes at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?
In 7 minutes machine can fill 1 box.
Given that, a machine fills boxes at a constant rate. At the end of 35 minutes, it filled 5 boxes.
What is the constant rate?A rate of change is constant when the ratio of the output to the input stays the same at any given point in the function. The constant rate of change is also known as the slope. Linear functions will have a constant rate of change.
Now, in 35 minutes machine has filled 5 boxes.
So, 1 box is filled in 35/5=7 minutes.
Therefore, in 7 minutes machine can fill 1 box.
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Chanel rolls a 6-sided die {1,2,3,4,5,6), and then flips a coin {H,T}
Which outcome is in the sample space of this experiment?
A.5H
B. T3
C. 24
D.TH
Answer:
5H
Step-by-step explanation:
Given
A roll of die followed by a flip of coin.
Required
Determine possible outcome in the sample space
Taking the experiment one at a time.
A roll of die will either give any of 1 to 6 as its outcome.
A flip of coin will either give any of H or T as its outcome.
So, the possible outcomes of a roll of die followed by a flip of coin is:
{1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}
Note that numbers came first because the question stated that the die is rolled first.
Comparing the list of given options with the sample space above.
Option (A) i.e. 5H answers the question.
b) The marks obtained by 40 students in mathematics in examination are given below. Group the data into the class intervals of length 10 and construct a cumulative frequency distribution table.
42, 68, 80, 45, 92, 36, 8, 17, 49, 30
5, 26, 98, 74, 53, 65, 72, 28, 55, 46
86, 70, 62, 27, 16, 44, 85, 59, 51, 73
66, 78, 38, 81, 97, 77, 69, 45, 33, 67
Picture below................................
Answer:0.02 aka 2%
Step-by-step explanation:
2%
Step-by-step explanation:use formula below :
S.I=P×R×T/100
Make the unknown variable subject of the formula
100×S.I/P×T=Rate (R)
R=Rate
S.I =Simple interest
P=principal
T=Time
100×8/200×2=800/400=2%