The table shown classifies the 35 students in a
college statistics course by year (1st, 2nd, 3rd, 4th)
and type of major (Humanities, Sciences, Other). A
student from this course will be selected at random.
What is the probability that the student's major is
Humanities?
The correct answer is 0.45 or 45%
Explanation:
In this case, the probability of selecting a student whose major is Humanities can be calculated by finding the number of Humanities students, which is considered as the desired outcome, and dividing this by the total of outcomes or students. The process to find the probability is shown below:
[tex]P = \frac{Desired outcomes}{Total outcomes}[/tex]
[tex]P= \frac{Students from Humanities}{Total students}[/tex]
[tex]Students of Humanities = 5 + 5 + 3 + 3 = 16 students[/tex] (Add the students of each year that are part of Humanities)
[tex]Total of students = 35[/tex] (This number is provided in the question but can also be found by adding all numbers in the table)
[tex]P = \frac{16}{35}[/tex]
[tex]P = 0.45[/tex]
Multiply the probability by 100 to know its equivalent in percentages 0.45 x 100 = 45. This means the probability that a student of humanities is selected is 0.45 or 45%.
range of 2.45 3.50 2.89 2.99
Answer:
[tex]\huge\boxed{\mathrm{Range = 1.05}}[/tex]
Step-by-step explanation:
Given Data:
2.45 , 3.50 , 2.89 , 2.99
Arrange it in ascending order.
2.45 , 2.89 , 2.99 , 3.50
Range = Highest No - Lowest No.
Range = 3.50 - 2.45
Range = 1.05
Answer:
Range=largest value-smallest value
Range=2.99-2.45
Range=0.54
Step-by-step explanation:
hope it is helpful for you
if it is please follow
Bepotastine besilate (BEPREVE) ophthalmic solution contains 1.5% w/v of the therapeutic agent. Express this concentration in mg/mL.
Answer:
15mg/ml
Step-by-step explanation:
Percent mass per volume ( % m/v) is unit expression that tells us how many grams of a solute that we can find 100 ml of a particular solution.
In the above question, we are asked to express 1.5%w/v Bepotastine besilate (BEPREVE) ophthalmic solution as mg/mL
Step 1
1.5% w/v = 1.5 g of Bepotastine besilate (BEPREVE) in 100ml ophthalmic solution
Hence, if
100ml = 1.5g
1 ml = y g
We Cross Multiply
100ml × yg = 1 ml × 1.5g
yg = 1 ml × 1.5g/100ml
= 0.015g
Therefore, in 1 ml we have 0.15 g.
Step 2
Since we are asked to express as mg/ml
We convert 0.015g to mg
1 gram = 1000 milligrams
0.015 grams =
Cross Multiply
0.015grams × 1000 milligrams/ 1 gram
= 15 mg
Therefore, the concentration in mg/ml of 15% m/v of Bepotastine besilate (BEPREVE) ophthalmic solution is 15mg/ml
What is the domain in interval notation?
Answer:
The answers are all real numbers where x<2 or x>2. We can use a symbol known as the union, ∪,to combine the two sets. In interval notation, we write the solution:(−∞,2)∪(2,∞). In interval form, the domain of f is (−∞,2)∪(2,∞).
PLEASE HELP ASAP! Far away on the horizon, we saw the tiny figures of a lonely traveler and his mule ______ into the sunset. A. Receed B. Famished
Answer:
Recede
Step-by-step explanation:
Famished means extremely hungry
Recede means go or move back or further away from a previous position
Answer:
Recede
Step-by-step explanation:
So let's look at the meanings of these two words.
Recede: To go or move back backward; become more distant.
Famished: Severely suffering from hunger.
So now you can see that recede is the word that makes more sense in the blank.
Far away on the horizon, we saw the tiny figures of a lonely traveler and his mule Recede into the sunset.
Hope this Helps!
Josh has 212 marbles. Peck has 314 marbles. Round each number to the nearest hundred. Then, type how much marbles more does Peck have.
Round each number to the nearest hundred.
212 = 200.
314 = 300.
How much more marbles does Peck have?
314 - 212 = 102.
That is your answer. Hope this helps!
Answer:
100 more marbles
Step-by-step explanation:
So first let's round the numbers to the nearest hundred. So 212 rounds to 200, and 314 rounds to 300. Then we do 300-200 and get 100. SO the answer is 100.
The expanded form for 300684 can be written with only 4 add ends. Explain how this is possible for a number with 6 digits
Answer:
This can be because our number, 300,684, has only four digits different than zero.
Then we can write this number as:
300,684 = 300,000 + 600 + 80 + 4.
So we add only 4 terms.
So when we write a number in this form, we will have the same numbers of terms in the addition that the number of digits different than zero in our original number.
Check each equation whose graph is the line that
contains the points (4, -7) and (1,5).
y=-4x + 9
y=-4x – 23
y-1 =-4(X-5)
y + 7 = -4(x – 4)
4x + y = 9
DONE
Answer:
Points P ( 4 , - 7 ) and Q ( 1 , 5 ) belong to the equations:
1 ; 4 ; and 5
Step-by-step explanation:
Equations 1 ; 4 and 5 are the same equation
Equation 1 y = - 4*x + 9
Equation 4
y + 7 = - 4 * ( x - 4 ) ⇒ y + 7 = - 4*x + 16 ⇒ y = - 4*x - 7 + 16
y = -4*x + 9
Equation 5
4*x + y = 9 ⇒ y = - 4*x + 9
Now for the equation y = - 4*x + 9
P ( 4 , -7)
For x = 4 y = - 4*(4) + 9 ⇒ y = - 16 + 9 ⇒ y = - 7
Then point P is in the line y = - 4*x + 9
Point Q (1 , 5 )
For x = 1 y = - 4 * ( 1) + 9 ⇒ y = - 4 + 9 ⇒ y = 5
Point Q is in the line y = - 4*x + 9
Equation 2
y = - 4*x - 23
Point P ( 4 , - 7 )
For x = 4 y = 16 - 23 y = - 7
Point P is in the line
Point Q
For x = 1 y = - 4 *(1) - 23 ⇒ y = - 27
Then poin Q is not in the line
Equation 3
y - 1 = - 4 * ( x - 4 )
y - 1 = -4*x + 16 ⇒ y = - 4*x + 17
Point P ( 4 , - 7 )
For x = 4
y = - 16 + 17 ⇒ y = 1
Point P is not in the line
And Point Q ( 1 , 5 )
For x = 1
y = - 4* ( 1 ) + 17 ⇒ y = 13 Q is not in the line
Answer:
1 4 5
Step-by-step explanation:
jus took the test
Find the slope of the line containing the pair of points. (5,-7) and (-4,-4)
Answer:
1/-3
Step-by-step explanation:
Given f(x) = 52x, evaluate f-1), f(o), and K2).
01/25, 1, 625
Answer:
[tex]f(-1) = \frac{5}{2}[/tex]
[tex]f(0) = 5[/tex]
[tex]f(2) = 20[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5(2^x)[/tex]
Required
Determine f(-1); f(0) and f(2)
Solving f(-1)
In this case, we simply take x as;
[tex]x = -1[/tex]
Substitute -1 for x in [tex]f(x) = 5(2^x)[/tex]
[tex]f(-1) = 5(2^{-1})[/tex]
Apply law of indices
[tex]f(-1) = 5 * \frac{1}{2}[/tex]
[tex]f(-1) = \frac{5}{2}[/tex]
Solving f(0)
In this case, we simply take x as;
[tex]x = 0[/tex]
Substitute 0 for x in [tex]f(x) = 5(2^x)[/tex]
[tex]f(0) = 5(2^0)[/tex]
[tex]f(0) = 5(1)[/tex]
[tex]f(0) = 5[/tex]
Solving f(2)
In this case, we simply take x as;
[tex]x = 2[/tex]
Substitute 2 for x in [tex]f(x) = 5(2^x)[/tex]
[tex]f(2) = 5(2^2)[/tex]
[tex]f(2) = 5(4)[/tex]
[tex]f(2) = 20[/tex]
NEED HELP ASAP!!! Please explain your answer. Solve 0 = (3x - 4) / 5
Answer:
x= 1.333333333333 or 1 1/3
Step-by-step explanation:
solve for x, 0 times 5= 0 plus 4 is 4 div by 3 is 1 and 1/3
NEED HELP ASAP (30Points!!) Which answers are examples of the Law of Syllogism? Select each correct answer. A) If there is a children’s movie playing at the cinema, Maria’s mother will take her to see it. When Maria’s mother takes her to the movie, she buys Maria popcorn. Therefore, if there is a children’s movie playing at the cinema, Maria’s mother will buy popcorn for Maria. B) If a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram. C) If a quadrilateral is a rectangle with 4 equal sides, then it is a square. Quadrilateral ABCD is a rectangle with 4 equal sides. Therefore, quadriateral ABCD is a square. D) Sally goes to the mall every Saturday. Today is Saturday. Therefore, Sally will go to the mall today.
Answer:
The correct answer is: (just took the test)
if a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram
if there is a children’s movie playing at the cinema, Maria’s mother will buy popcorn for Maria
Step-by-step explanation:
For the given answers the answers that follow the law of syllogism is options A and B.
Given that,
4 statement is given, and we have to pick the statement that follows the low of syllogism.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here
There are only two statements that are following the law of syllogism. ie.
A. If there is a children's movie playing at the cinema, Maria's mother will take her to see it. When Maria's mother takes her to the movie, she buys Maria popcorn. Therefore, if there is a children's movie playing at the cinema, Maria's mother will buy popcorn for Maria.
B. If a square is a rectangle and if a rectangle is a parallelogram, then a square is a parallelogram.
C. and D. are invalid statement because it does not follow the Law of Syllogism.
Thus, for the given answers the answers that follow the law of syllogism is options A and B.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Factor this trinomial 4x^2-6x-10 If you can please try to show me how to do it.
Answer:
[tex]=2(2x-5)(x+1)[/tex]
Step-by-step explanation:
So we have the trinomial:
[tex]4x^2-6x-10[/tex]
First, factor out a 2:
[tex]=2(2x^2-3x-5)[/tex]
Now, factor within the parentheses.
To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b
(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.
-5 and 2 works. Therefore:
[tex]=2(2x^2-3x-5)[/tex]
Replace -3x with 2x and -5x:
[tex]=2(2x^2+2x-5x-5)[/tex]
Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:
[tex]=2(2x(x+1)-5(x+1))[/tex]
Grouping:
[tex]=2(2x-5)(x+1)[/tex]
And we're done!
30 POINTS Type the correct answer in the box. Use numerals instead of words.
Answer:
15 rubber bands per day
Step-by-step explanation:
Write the following number in standard form.
one hundred four billion, twenty-seven thousand, five hundred seventy-one
140,027,000,571
140,270,571,000
104,000,027,571
104,000,270,571
Answer:
The third one, 104,000,027,571
Step-by-step explanation:
The first and second ones are not the answers because the problem does not say one hundred forty billion.
The last one is not the answer because the problem doesn't say two hundred seventy thousand.
Thus leaving the third one, which fits the description of the number.
Problem 1: Solve the systems of equations by the method of your choice.
2x+y=5
x-y=1
Problem 2: The difference of two complementary angles is 30 degrees. Set up a system of linear equations that would find the angles. Do not solve the system.
Problem 3: A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $460. Set up a system of linear equations that would find how many of each type of bills the cashier has. Do not solve the system.
Problem 4: Give an example of a system of linear equations that has no solutions. Explain how can you decide the number of solutions without solving the system.
Answer:
x=2 and y=1
Step-by-step explanation:
2x+y=5
x-y=1
buy adding both equations we get
3x=6
x=2 ( divide 3 on both sides)
put x=2 in any equation
2-y=1
y=2-1
y =1
p2
Problem#2
Let say two complementary angles are A & B
difference of two complementary angles is 30°
=> A - B = 30
Sum of two complementary angles is 90°
=> A + B = 90
Hence A = 60° , B = 30°
Problem#3
Total bill = 30
$ 10 Bills = A
$ 20 Bills = B
10 * A + 20* B = 460
A + B = 30
A = 14 , B = 16
Problem#4
4x+2=y
2y−8x=10
The first step is to simplify the second equation into
y=mx+b form.
2y−8x=10y
y−4x=5
y=4x+5
Now, the two equations are:
y=4x+2
y=4x+5
what is -1/3 + (-5/6) step by step
Answer:
[tex]-\frac{7}{6}[/tex]
Step-by-step explanation:
Change -1/3 to match denominators with -5/6: 3 × 2 = 6, -1 × 2 = -2Re-write the expression: -2/6 + (-5/6)Simplify: -2/6 - 5/6[tex]-\frac{2}{6} - \frac{5}{6} = -\frac{7}{6}[/tex]I hope this helps!
Answer:
-7/6
Step-by-step explanation:
-1/3=-2/6
-2/6-5/6=-7/6
what are the domain and range of the function f(x)=5x-3+1?
Answer:
Domain : (-∞,∞)
Range : (1 , ∞)
What is 2 cents as a fraction
A blue scarf is 7/8 of a yard in a race car is 5/8 of a yard find the difference in length of the two scars write your answer as a simplified fraction
Answer:
Difference in length = 1/4 yards
Step-by-step explanation:
Given:
Blue scarf in yard = 7/8 yard
Another car in yard = 5/8 yard
Find:
Difference in length
Computation:
Difference in length = Blue scarf in yard - Another car in yard
Difference in length = 7/8 - 5/8
Difference in length = 2/8
Difference in length = 1/4 yards
Find z such that the proportion of observations that are less than z in a standard normal distribution is 0.23. (Enter your answer rounded to two decimal places.)Z=______
Answer:
-0.74
Step-by-step explanation:
The computation of Z is shown below:
According to the question, data provided in the question is as follows
P(Z > Z) = 0.23
Based on the above information, the calculation for Z is
Use the table of the standard normal distribution for z
By using this the Z value comes is -0.74
hence, in case of the standard normal distribution, the value of z is -0.74 and the same is to be considered
the sum of m and 188 is 232
write the sentence as an equation
Answer:
m + 188 = 232
Step-by-step explanation:
sum → +
m + 188 = 232
Answer:
m + 188 = 232
Thats is an equation for your problem
find simple interest on #1200 for 3 years at 4.25% per anum
Answer:
$153.00
Step-by-step explanation:
A = $1,353.00
(I = A - P = $153.00)
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year.
Solving our equation:
A = 1200(1 + (0.0425 × 3)) = 1353
A = $1,353.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,200.00 at a rate of 4.25% per year for 3 years is $1,353.00.
Answer:
$153
Step-by-step explanation:
Simple Intrest = P ( money invested ) * R ( percentage ) * T ( year )
I = P * R * T / 100
I = 1200 * 4.25 * 3 = 15300 / 100 = $153
This is the easiest method for me and I hope it helps :)
Find the common ratio of each geometric sequence.
a) 2, 4, 8, ... r = 2
b) -2, 6, -18, L =
c) -3, -12, -48, ... r =
1 1 1
d)
3 927
9
..
e) 0.3, 0.6, 1.2, ... r =
f)
1.
re
.
42
Answer:
d
Step-by-step explanation:
Use the slider to rotate AABC about point P through different angles of rotation (a). As you move the slider, you'll see the image, AA'B'C'.
move on the screen. At what angles of rotation does AA'B'C' coincide with each of the other triangle images?
Answer:
Step-by-step explanation:
Answer:
The angles of rotation coincide as follows:
DEF is 45°
GHI is 115°
JKL is 210°
Step-by-step explanation:
If i am in texas then I am in the south
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Of the United States, true, you are in the south.
Texas is a southern state of the USA.
Of the world, false, you are more north than south, and also you are around the middle north of the world.
The pictures I attached are maps of the USA and the world.
As you can see in the USA map, Texas is one of the states are are the lowest.
But if you look at the world map, Texas is not very south.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
A piece of carpet is 360 cm long. Mr. Smith cuts it into three pieces in the ratio 2:3:4. Workout the length of the longest piece of carpet.
Answer:
The longest length of carpet is 160 cm.
Step-by-step explanation:
Given that the total ratio(units) of the carpet is 9(2+3+4). So first, you have to find the length of carpet in 1 unit :
[tex]9 \: units = 360 \: cm[/tex]
[tex]1 \: unit = 360cm \div 9[/tex]
[tex]1 \: unit = 40 \: cm[/tex]
Next, you have to find the length of carpet in 4 ratio as the question wants the longest length :
[tex]4 \: units = 40 \: cm \times 4[/tex]
[tex]4 \: units = 160 \: cm[/tex]
Answer:
160cm
Step-by-step explanation:
2+3+4= 9
4/9 x 360= 160cm
Which number is the same distance from 0 on a number line as 3/2 answers -3 -3/2 -2/3 2/3 3
Answer: -3/2
Step-by-step explanation:
To find its distance away from 0, then just find its opposite.
On the number line if you graph 3/2, its opposite will be -3/2
How is mulhplying intergers
Similar to multiplying whole
numbers?
Answer: Multiplying integers is very similar to multiplying whole numbers. A positive number times a negative number equals a negative number. A negative number times a negative number equals a positive number. A negative number times a positive number equals a negative number.
If 20% of X =y, then y% of 20 is the same as:
Answer:
4% of x
Step-by-step explanation:
20% of x
20% of x = 0.2x20% of x = y ⇒ 0.2x = yy% of 20
y% of 20 = 20*y/100 = 0.2y0.2y = 0.2*0.2x = 0.04xy% of 20 = 4% of xHope it is what you are looking for