Answer:
2.3 pounds
Step-by-step explanation:
First, the mean is equal to the sum divided by the number of numbers.
There are four packages, so there are four numbers. Let's say the fourth package has a weight of x. We can then write
mean = sum / number of numbers
2.5 = (1.8+3.2+2.7+x)/4
multiply both sides by 4 to remove the denominator
10 = 1.8+3.2+2.7+x
10 = 7.7 + x
subtract 7.7 from both sides to isolate the x
x = 2.3 pounds
Angles A and B are complementary. If sin A = 4x + 10 and cos B = 2x + 16, what is the value of x? (
Answer:
x is 10.66
Step-by-step explanation:
What are complementary angles?
They are angles that up to 90
So we have Sin A and Cos B
4x + 10+ 2x + 16= 90
collect like terms
6x+ 26= 90
6x= 90-26
6x= 64
x= 64/6
x= 10.66
Hence the value of x is 10.66
Answer:
not 10.66
Step-by-step explanation:
Given the function
Calculate the following values:
f( - 1) =
f(0)
f(2)=
-1 is less than 0, so you use the first equation:
3(-1) +2 = -3+2 = -1
f(-1) = -1
For 0 use the 2nd equation:
3(0) + 4 = 0+4 = 4
f(0) = 4
For 2 use the 2nd equation:
3(2) + 4 = 6+4 = 10
f(2) = 10
Help me pls, BRAINEST AWARD
Answer:
x = 3.7
Step-by-step explanation:
By applying sine ratio for the given angle B,
sin(39°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(39°) = [tex]\frac{AD}{AB}[/tex]
0.6293 = [tex]\frac{AD}{7}[/tex]
AD = 4.41
By applying tangent ratio for the given angle C,
tan(50°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
1.19 = [tex]\frac{AD}{x}[/tex]
1.19 = [tex]\frac{4.41}{x}[/tex]
x = 3.7
Determine how much simple interest you would earn on the following investment:
$13,400 invested at a 6/2 % interest rate for 4 years.
Answer:
How do you mean 6/2%? Clarify it for assistance
Answer:
Simple interest = $ 3,484.00
Step-by-step explanation:
I= P×R×T ÷ 100
The rate is 6 1/2 and I will use the decimal form 6.5,to change that to a whole number we simply move the decimal point one place behind.
Since we moved the decimal point in the numerator we need to do the same for the denominator.Therefore 100 becomes 1000.
13400 × 65 × 4 = $ 3,484.00
1000
You want to put a 5 inch thick layer of topsoil for a new 23 ft by 27 ft garden. The dirt store sells by the cubic yard. How many cubic yards will you need to order?
Answer:
9.5833333333 yd³
9 7/12 yd³
Step-by-step explanation:
23 * 27 * 5/12 = 258.75 ft³
1 yd³ = 3ft * 3ft * 3ft
1 yd³ = 27 ft³
258.75 ft³ * 1 yd³/27 ft³ = 9.5833333333 yd³
9.5833333333 yd³
9 7/12 yd³
Which of the following rational functions is graphed below?
Answer:
the answer is d
Step-by-step explanation:
because when we put-1 from x the equation hasn't any value
after buying 55 books for Rs 50 each a man has rupees 3/4 of his money left how much he had at first?
Answer:
916.67 (corrected to 2 decimal places)
Hope I'm right, fingers crossed
Step-by-step explanation:
[tex]55 \times 50 = 2750 \div \frac{3}{4 } = 916.6666667[/tex]
what is the complete factorization of 8x^2-8x+2
Answer:
2x(4x-4+1)
Step-by-step explanation:
i hope it will help you
Answer:
x=1/2
Step-by-step explanation:
press the calculator
8x²-8x+2=0
x=1/2
min,x=1/2
min,y=0
Hellooo can you please help me on this
Answer:
0 = 0
1 = 4
2 = 8
Step-by-step explanation:
So you multiply x by 4 to get y. Your first column is x. So you multiply those numbers by 4 to get y.
Answer:
0
4
8
Step-by-step explanation:
y = 4x
Substitute each x into equation to get y
y = 4(0)
y = 0
Suppose we increase the overall number of doctors in the U.S. in all fields and specialties of medical practice by equal percentages, which would shif
Answer: hi your question is incomplete below is the complete question
Suppose we increase the overall number of doctors in the U.S. in all fields and specialties of medical practice by equal percentages, which would shift the supply curves in all the respective medical practice markets. Suppose we were to analyze two separate medical practice markets: Plastic Surgery Cardiology Which markets' price would be most impacted by this increase in the supply of doctors? Which markets' quantity would be most impacted by this increase in the supply of doctors?
answer :
Change in Market price = Cardiology
Change in Quantity = Plastic surgery
Step-by-step explanation:
Given that we are analyzing two separate markets with different levels of importance .
The demand for plastic surgery is more elastic when compared with Cardiology and this is due to the importance of Cardiology over plastic surgery.
The market price that will be affected by the increase in doctors supply is Cardiology market price while the Market quantity that would be affected by the increase is quantity of Plastic surgery
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Please help solve and explain this
can you put the whole question here
The mean monthly car payment for 121 residents of the local apartment complex is $372. What is the best point estimate for the mean monthly car payment for all residents of the local apartment complex
Answer:
Needed point estimate is $372
Step-by-step explanation:
Given:
Number of houses in resident area = 121
Monthly mean car payment = $372
Find:
Best point estimate for the mean monthly car payment
Explanation:
The "best point estimate" for such average monthly automobile payment for all inhabitants of the nearby apartment complex is used as the "sample mean." In this example, a $372 sample was obtained on 121 residents.
As a result, the needed point estimate is $372.
Solve for z
-3z-2/2 <5
Answer:
z> -2
Step-by-step explanation:
STEP 1) Any expression divided by itself equals 1
-3z-1<5
STEP 2) Move the constant to the right-hand side and change its sign
-3z<5+1
STEP 3) Add the numbers
5+1= 6
-3z<6
STEP 4) Divide both sides of the inequality by -3 and flip the inequality sign
z>-2
What iis 155 plus 33 minus 4 divided by 2
Answer:
155+33-4÷2155+33-2188-2186hope it is helpful to you
The simplified form of statement 155 plus 33 minus 4 divided by 2 is
186.
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.
Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
The given statement is 155 plus 33 minus 4 divided by 2 which can be numerically expressed as,
155 + 33 - 4 ÷ 2.
PEMDAS rule states the correct order of simplifying an expression is as follows, Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.
155 + 33 - 2.
= 188 - 2.
= 186.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
the cost of 10 oranges is $6. what is the cost of an orange ?
Answer Choices:
$0.40
$0.60
$4
$6
Answer:
$0.60
Step-by-step explanation:
To find the cost of 1 orange, divide the $6 by 10:
6/10 = 0.6
Hope it helps (●'◡'●)
Which angle is an alternate exterior angle to 28?
3
0 23
0 24
2
3
4
* 25
t
8
5
7 6
026
Dong
9514 1404 393
Answer:
∠4
Step-by-step explanation:
"Alternate" means the angle is on the other side of the transversal t. "Exterior" means it is on the outside of line e crossing the transversal. The alternate exterior angle to angle 8 is angle 4.
If I=square root-1 then i^2=
Answer:
i^−3 = i
i^−2 = −1
i^−1 = −i
i^0 = 1
i^1 = i
i^2 = −1
i^3 = −i
i^4 = 1
i^5 = i
i^ 6 = −1
See the pattern
If you pick a card at random from a well shuffled deck, what is the probability that you get an even card or a spade
Answer:
The probability that you get an even card or a spade is P = 0.596
Step-by-step explanation:
In a deck of 52 cards, all the cards have the exact same probability of being drawn.
So, the probability of drawing an even card of a spade, will be equal to the quotient between the number of even cards and spades, and the total number of cards (52).
First, let's found the number of even cards and spades.
There are 13 spades.
For each set, the even cards are:
{2. 4, 6, 8, 10}
(not counting the queen as a "12")
Then for each set, there are 6 even cards.
(there are four sets but we already counted the 6 even cards from the spade set, so we ignore that set)
Then there are 3 sets with 6 even cards each, there are:
3*6 = 18 even cards
So we have:
13 spades + 18 even cards = 31 cards that meet the condition.
The probability is then:
P = 31/52 = 0.596
The probability that you get an even card or a spade is P = 0.596
find the value of the following 8711×99+8711
Answer:
the value of the following 8711×99+8711 is
Step-by-step explanation:
871100
Answer:
871100
Step-by-step explanation:
use BODMAS
first multiply 8711×99
=862389
Then add 862389+8711
=871100
A Professor at a Nigerian University sent his phone number in a disorderly manner to his students. The disordered phone number was 82002273285.To know his real phone number, he gave the student the following conditions:(1) Eight (8) must come between two zeros (0's). (2)The first number after the first condition is met must not be an odd number and it must be greater than 5. (3)The seventh number must be 1. (4) The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.(5)The fifth and sixth numbers are greater than 2.(6)The ninth and tenth numbers are the same.(7)The eighth number is greater than the last number (8) The phone number must be 11 digits. What is the Professor's real phone number?
Answer:
I think you have a type.. "the seventh number must be a 1"
there are no 1's in the original set of numbers
Step-by-step explanation:
The following data set represents the ages of all 6 of Nancy's grandchildren.
11, 8, 5, 6, 3,9
To determine the "spread" of the data, would you employ calculations for the sample standard deviation, or population
standard deviation for this data set?
Answer:
Use calculation for the population standard deviation
Step-by-step explanation:
We are given that the data data set represents the ages of all 6 of Nancy's grandchildren
11,8,5,6,3,9
We have to determine which standard deviation would used for calculation of the given data set.
Sample standard deviation :If the data values represent the data collected from subset of population .Then the sample standard deviation should be used.
Population standard deviation:
If the data values represents the data collected from entire population, then population standard deviation should be used.
We can see that the given data collected from entire population.
Therefore, we would use calculation for population standard deviation of given data set.
Andrew worked over 40 hours this week. He earns $12 an hour and gets paid time and a half for overtime. If x represents total hours worked, which equation will result in the
amount of money earned for the week?
Answer:
y = 480 + 1.5 (x-40)
Step-by-step explanation:
sometimes its better to answer the question and make the formula from that
40 x 12 = 480
1.5 for overtime
x
y = 480 + 1.5 (x-40)
(x+2)(x+3)(x+4)x(+5)-48
Answer:
(12+2)(15+3)(9+4)(2+5)-48
=4
John runs a computer software store. Yesterday he counted 125 people who walked by the store, 58 of whom came into the store. Of the 58, only 21 bought something in the store. (Round your answers to two decimal places.)
(a) Estimate the probability that a person who walks by the store will enter the store.
(b) Estimate the probability that a person who walks into the store will buy something.
(c) Estimate the probability that a person who walks by the store will come in and buy something.
(d) Estimate the probability that a person who comes into the store will buy nothing.
Answer:
a) 0.46 = 46% probability that a person who walks by the store will enter the store.
b) 0.36 = 36% probability that a person who walks into the store will buy something.
c) 0.17 = 17% probability that a person who walks by the store will come in and buy something.
d) 0.64 = 64% probability that a person who comes into the store will buy nothing.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
(a) Estimate the probability that a person who walks by the store will enter the store.
58 out of 125. So
[tex]p = \frac{58}{125} = 0.46[/tex]
0.46 = 46% probability that a person who walks by the store will enter the store.
(b) Estimate the probability that a person who walks into the store will buy something.
58 walked, 21 bought. So
[tex]p = \frac{21}{58} = 0.36[/tex]
0.36 = 36% probability that a person who walks into the store will buy something.
(c) Estimate the probability that a person who walks by the store will come in and buy something.
21 came in and bought out of 125 that walked by. So
[tex]p = \frac{21}{125} = 0.17[/tex]
0.17 = 17% probability that a person who walks by the store will come in and buy something.
(d) Estimate the probability that a person who comes into the store will buy nothing.
0.36 probability that a person buys something, so 1 - 0.36 = 0.64 = 64% probability that a person who comes into the store will buy nothing.
If 4x³+kx²+px +2 is divisible by x²+ α prove that kp=8.
Answer:
Attached images
It was just easier for me this way.
Let me know in comments if you have questions.
Step-by-step explanation:
Negate the conditional statement.
(~ a V ~ b) ►c
Please show your work and give an explanation.
(not a or not b) implies c <==> not (not a or not b) or c
so negating gives
not [(not a or not b) implies c] <==> not[ not (not a or not b) or c]
which we can simplify somewhat to
not (not (not a or not b)) and not c
(not a or not b) and not c
(not a and not c) or (not b and not c)
not (a or c) or not (b or c)
not ((a or c) and (b or c))
not ((a and b) or c)
I need help with this x/4 - 3x/8 = 5
Answer:
x=−40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x4−3x8=5
14x+−38x=5
(14x+−38x)=5(Combine Like Terms)
−18x=5
−18x=5
Step 2: Multiply both sides by 8/(-1).
(8−1)*(−18x)=(8−1)*(5)
x=−40
Answer:
x=−40
Hello!
x/4 - 3x/8 = 5
2x - 3x = 40
-x = 40
x = -40
Good luck! :)
At noon, ship A is 150 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM?
Answer:
At 4:00 PM the distance between the two ships is 104.40 kilometers.
Step-by-step explanation:
Given that at noon, ship A is 150 km west of ship B, and ship A is sailing east at 30 km / h and ship B is sailing north at 25 km / h, to determine how fast is the distance between the ships changing at 4:00 PM the following calculation must be performed:
150 - (30 x 4) = 150 - 120 = 30
0 + (25 x 4) = 0 + 100 = 100
30 ^ 2 + 100 ^ 2 = X ^ 2
√ (900 + 10,000) = X
√10,900 = X
104.40 = X
Therefore, at 4:00 PM the distance between the two ships is 104.40 kilometers.
Write an equation
that represents the line.
Answer:
the eq of given line is 2x+y+3=0