Answer:
16%
Step-by-step explanation:
rental charge per year = $80
rental charge at the rate $8 per year = 8 * 12 = 96
the increased amount = 96 - 80 = 16
% = 16 / 100 = 16%
1. In a batch of 10 items, we wish to extract a sample of 3 without replacement. How many
different samples can we extract?
2. Let X and Y be independent random variables. Suppose the respective expected values
are E(X) = 8 and E(Y) = 3 and the respective variances are V(X) = 9 and V(Y) = 6. Let Z be
defined as Z = 2X - 3Y +5. Based on these data, the value of E(Z) is_ and the value
of V(Z) is
3. The ratio of milk water in 55 liters of adulterated milk is 7: 4. How much water must be
added to make the mixture in a ratio of 7:6?
a) 5 liters
b) 10 liters
c) 15 liters d) None of these
Answer:
1) 120
2) E (Z) = 12 and Variance of Z = 90
a) 5 liters
Step-by-step explanation:
1. We can find this by suing combinations.
Here n= 10 and r= 3 so n C r
= 10 C 3= 120
2. E(X) = 8 and E(Y) = 3
Z = 2X - 3Y +5
E(Z ) = 2 E (X) - 3(E)(Y) +5 ( applying property for mean)
= 2(8) - 3(3)+ 5 = 16+5-9= 21-9= 12
V(X) = 9 and V(Y) = 6.
V(Z) = E(Z )²- V(X) *V(Y) (applying property for Variance for two variables )
= 144- 54= 90
3. 55 liters contain adulterated milk in 7: 4.
So it contains 4/ 11*55= 20 liters of water
But we want to make it a ratio of 7:6
the water will be 6/13 *55= 25.38 when rounded gives 25 liters of water
So 25- 20 = 5 liters must be added to make it a ratio of 7:6
Solve for x. 7x+38=45
Answer:
x=1
Step-by-step explanation:
subtract 38 from both sides:
7x=7
divide both sides by 7 to isolate x:
x=1
HOPE THIS HELPS!!!! :)
In Art Class, you designed a rectangle stained glass window. The
length is (2x+2) inches, and the height is 6x. What is the perimeter of
the window? (Hint: draw a diagram and label the sides)
Answer:
Step-by-step explanation:
Draw a triangle and label the sides (picture below):
● the length is 2x+2
● and the width or the height is 6x
The perimeter of a rectangle is the sum of the sides
● P = 2x+2 + 6x + 2x+2 + 6x
Isolate the similar terms
● P = (2x+2x+6x+6x) + (2+2)
● P = 16x + 4
The perimeter of the window of lengths 2x+2 and 6x is 16x + 4
The formula for calculating the perimeter of a rectangle is expressed as:
[tex]P=2(L+W)[/tex] where:
L is the length of the rectangular stained glass window.
W is the width of the rectangle stained glass window
Given the following
L = (2x +2) inches
W = 6x inches
Substitute the given values into the formula as shown:
[tex]P = 2(2x+2+6x)\\P=2(2x+6x+2)\\P=2(8x+2)\\P=2(8x)+2(2)\\P=16x+4[/tex]
Hence the perimeter of the window is 16x + 4
Learn more here: https://brainly.com/question/10452031
a standard number cube has six labeled sides labeled 1-6. think about rolling a number cube one time. why is it just as likely that the cube will show and even number as an odd number
Answer:
This is because there are equal counts of both even and odd numbers
Step-by-step explanation:
Here in this question, we are concerned with stating the reason why it is likely that a standard number cube have the same probability for showing an even number as well as an odd number.
In the number cube, the odd numbers are 1,3 and 5. While the even numbers are 2,4 and 6.
From here, we can see that there are three set of each number types. What this automatically means is that the probability of selecting an even number will be equal to the probability of selecting an odd number. Thus, we can say that it is just as likely that the cube will show an even number as an odd number because each of the type of numbers have 3 values each.
dy
If x= 15t2 and y= 10t2, find
dx
Answer: x' = 30t
y' = 20t
Step-by-step explanation:
To find the derivative, multiply the exponent to the leading coefficient and decrease the exponent by 1.
x = 15t²
x' = 2 · 15t²⁻¹
= 30t¹
= 30t
y = 10t²
y' = 2 · 10t²⁻¹
= 20t¹
= 20t
what is the GCF of 100x squared - 250xy+75x
Answer:
25x
Step-by-step explanation:
100x^2 -250xy +75x
Rewriting
25*4*x*x -25*10 *x*y + 25*3*x
As we can see each term contains 25x
The greatest common factor is 25x
25x( 4x -10y+3)
Answer:
25x
Step-by-step explanation:
GCF means the greatest common factor.
First, we write the factors of these numbers.
=> 100x^2 = 2 * 2 * 5 * 5 * X * X
=> 250xy = 5 * 5 * 5 * 2 * X * Y
=> 75x = 5 * 5 * 5 * x
=> Next, we need to take the numbers that come in all sets.
=> 5 , 5 , x
Next, we multiply these numbers.
=> 25x
So, the GCF of these numbers are 25x
what is 1/2(10x +20y +10z) using the distributive property? also as an equivalent expression?
Answer:
5x+10y+5z.
Step-by-step explanation:
The given expression is
[tex]\dfrac{1}{2}(10x+20y+10z)[/tex]
We need to find the equivalent expression by using the distributive property.
By using the distributive property, the given expression can be written as
[tex]\dfrac{1}{2}(10x+20y+10z)=\dfrac{1}{2}(10x)+\dfrac{1}{2}(20y)+\dfrac{1}{2}(10z)[/tex]
[tex]=5x+10y+5z[/tex]
Therefore, the required expression is 5x+10y+5z.
Factor 6x2 + 12x - 9 completely.
A
3(2x² + (-3)
+ 4x –
B 6x(x – 7)
3(2x - 3)(x + 1)
D 3(2x + 1) (x – 3)
Answer:
work is pictured and shown
7 is subtracted from the quotient of 48 divided by the sum of 5 and differences of 11 and 8
Write it out as an equation:
(48 /(5+(11-8))) -7
Simplify:
(48/(5+3))-7
(48/8)-7
6-7 = -1
The answer is -1
2. A boy and his father played 26 games of checkers. For every game the boy lost, he gave his father 5 cents. For every game the boy won, his father gave him 8 cents. When all the games were played, neither had won nor lost anything. The number of games the boy won i
Answer: the boy won 10 games
Step-by-step explanation:
Let's call B as the number of games won by the boy, and F as the number of games won by the father.
We know that, there is a total of 26 games:
B + F = 26.
We know that in each game won by the boy, he wins 8 cents, for every game that the father wins, the boy losses 5 cents, and we know that at the end of the 26 games, the boy did not win or lose any money, so we have:
B*8 + F*(-5) = 0.
Then we have a system of equations:
B + F = 26
8*B - 5*F = 0.
The first step is isolating one of the variables. Let's start isolating F in the first equation:
B + F = 26
F = 26 - B.
Now we can replace this in the second equation:
8*B - 5*F = 0
8*B - 5*(26 - B) = 0
8*B + 5*B - 5*26 = 0
13*B = 5*26
B = 5*26/13 = 5*2 = 10
So the boy won 10 games (then the father won the other 16 games)
2. Solve | 2x - 11 | < 3.
Answer:
4<x<7Step-by-step explanation:
[tex]\left|2x-11\right|<3\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:<\:a,\:a>0\:\mathrm{then}\:-a\:<\:u\:<\:a\\\\-3<2x-11<3\\\\2x-11>-3\quad \mathrm{and}\quad \:2x-11<3\\\\2x-11>-3\quad :\quad x>4\\\\2x-11<3\quad :\quad x<7\\\\x>4\quad \mathrm{and}\quad \:x<7\\\\4<x<7[/tex]
PLSSS HELP I would appreciate it
Answer:
x = 12.6 degrees
Step-by-step explanation:
Using the property of alternate interior angles, we can say that m<A is equivalent to m<E.
m<A = m<E
63 = 5x
12.6 = x
So, x = 12.6 degrees
Cheers.
pls solve this questions ,,with proper working..plsssssssss heeeeelpppp meeee......need to pass up tomorrow assignment..ASAP
Answer:
1). 114.29 km per hour
2). 93.24 km per hour
Step-by-step explanation:
Question (1)
Umar drove his taxi in two parts;
1). Ipoh to Tapah
2). Tapah to Kuala Lumpur
Since, the formula to calculate the average speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
Total distance from Ipoh to Tapah = 60 km
Average speed to cover this distance = 100 km per h
Time taken to cover this distance = [tex]\frac{\text{Distance covered}}{\text{Speed}}[/tex]
= [tex]\frac{60}{100}[/tex]
= 0.6 hours
Total distance from Ipoh to Kuala Lumpur = 220 km per h
Average speed from Ipoh to Kuala Lumpur = 110 km per h
Time taken to cover the distance = [tex]\frac{220}{110}[/tex] = 2 hours
Distance from Tapah to Kuala lumpur = 220 - 60
= 160 km
Time taken to travel from Tapah to Kuala Lumpur = 2 - 0.6
= 1.4 hours
Average speed from Tapah to Kuala Lumpur = [tex]\frac{160}{1.4}[/tex]
= 114. 29 km per hour
Question (2).
Speed achieved by the leopard = 25.9 meter per sec.
Since, 25.9 meter = [tex]\frac{25.9}{1000}[/tex] km
= 0.0259 km
1 second = [tex]\frac{1}{3600}[/tex] hour
Therefore 25.9 meter per second = [tex]\frac{0.0259}{\frac{1}{3600} }[/tex]
= 0.0259 × 3600
= 93.24 km per hour
10.
J
A
B
0
L
с
K
Not drawn to scale
JK, KL, and are all tangent to circle O. JA = 9, AL = 10, and CK = 14. What is the perimeter of AJKL?
66 units
46 units
O 33 units
38 units
Answer:
66
Step-by-step explanation:
The figure of triangle JKL is attached. JA = 9, AL = 10, and CK = 14.
According to two tangent theorem, the tangent to a circle that meets at the same point is equal to each other. Therefore:
AJ = BJ, AL = CL, CK = BK.
Since AJ = 9, BJ = AJ = 9
AL = 10, CL = AL = 10
CK = 14, BK = CK = 14.
Therefore the lengths of the triangle sides are:
JL = AJ + AL = 9 + 10 = 19
JK = BJ + BK = 9 + 14 = 23
KL = CL + CK = 14 + 10 = 24
The perimeter of the triangle is the sum of all its sides, it is given as:
Perimeter = JL + JK + KL = 19 + 23 + 24 = 66
I'm really confused with this plz help
Answer:
4 terms
constant 10
third term is -7z
coefficient of the second term is 3
Step-by-step explanation:
-5x+3y -7z +10
There are 4 terms, -5x, 3y ,-7x, 10
The constant is the term without the variable ( letter)
The constant is 10
The third term is -7z
The coefficient is the number in front of the variable
The coefficient of the second term 3y is 3
For part a, we are asked how many terms does this expression have.
Well a term can be a number, a variable, or it can
even be a number times one or more variables.
So the terms would be -5x, +3y, -7z, and +10.
For part b, we are asked what is the constant.
Usually, constants are numbers all by themselves.
So here, the constant would be 10.
In part c, we are asked what is the third term.
Well, looking at the expression, we can see that -7z is the third term.
Finally, what is the coefficient of the second term.
The coefficient is the number before your variable.
So here, the coefficient would be 3.
A pair of dice is rolled. What is the probability that the sum of the two dice will be greater than 8 given that the first die rolled is a 5?
Answer:
1/2
Step-by-step explanation:
First die rolled 5
Second die can roll 1, 2, 3, 4, 5, 6
Only if the second die rolls 4, 5, 6 will the sum be greater than 8.
p(sum > 8) = 3/6 = 1/2
Answer: 1/2
Step-by-step explanation:
First die rolled 5
Second die can roll 1, 2, 3, 4, 5, 6
Only if the second die rolls 4, 5, 6 will the sum be greater than 8.
p(sum > 8) = 3/6 = 1/2
Which of the following points is a solution of y > |x| + 5? A) (1,7) B) (0,5) C) (7,1)
Answer:
A
Step-by-step explanation:
We can plug in all of the x and y values to check if the point is a solution to the inequality.
Point A: x = 1, y = 7
7 > |1| + 5
7 > 1 + 5
7 > 6
This is a true statement, which means that this point is a solution to the inequality. We don't have to check any more points since we have found our answer.
Can i please have help thanks.
Answer:
[tex] q = 2(3r + 8) [/tex]
Step-by-step explanation:
There are two variables, q and r in the expression given. To make r the independent variable, it simply means, make q the subject of the formula, so that variable q would be dependent on variable r. As r changes, q changes also.
Thus,
[tex] q - 10 = 6(r + 1) [/tex]
Open the parenthesis
[tex] q - 10 = 6r + 6 [/tex]
Add 10 to both sides
[tex] q - 10 + 10 = 6r + 6 + 10 [/tex]
[tex] q = 6r + 16 [/tex]
[tex] q = 2(3r + 8) [/tex]
what is x if y is 50, it is equivalent to 9/150. the first peep gets brainliest
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 3
▹ Step-by-Step Explanation
[tex]\frac{9}{150} \\\\150/3 = 50\\9/3 = 3\\\\x = 3[/tex]
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Which number line represents the solution set for the inequality –negative StartFraction one-half EndFraction x is greater than or equal to 4.x ≥ 4?
A number line from negative 10 to 10 in increments of 2. A point is at negative 2 and a bold line starts at negative 2 and is pointing to the left.
A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a bold line starts at negative 8 and is pointing to the left.
A number line from negative 10 to 10 in increments of 2. A point is at negative 2 and a bold line starts at negative 2 and is pointing to the right.
A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a bold line starts at negative 8 and is pointing to the right.
Answer:
it's b :)
Step-by-step explanation:
A number line which represents the solution set for the given inequality is: option B.
What is a number line?A number line refers to a type of graph with a graduated straight line which contains numerical values (both positive and negative numbers) that are placed at equal intervals along its length.
Next, we would solve the given inequality:
-½x ≥ 4
-x ≥ 4 × 2
x ≤ -8.
Therefore, a number line which represents the solution set for the given inequality is a number line from -10 to 10 in increments of 2 with a point at -8 and a bold line starts at -8 while pointing to the left.
Read more on number line here: brainly.com/question/24644930
#SPJ9
Think about the proportion and the cross products for this problem: Shelley sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. Because the cross products are equal, which statements are true? Select all that apply.
3×4·20 equals to 12.6 please thats youre awnser
Answer:
The ratios are equivalent.
The ratios are a proportion.
Step-by-step explanation:
Please answer it now
Answer:
x = 19
Step-by-step explanation:
The angles of a triangle add to 180
U and S are equal since they are the base angles and UT and ST are equal
S + T + U = 180
x + 26 + 90 + x+26 = 180
Combine like terms
2x +142 = 180
Subtract 142 from each side
2x = 38
Divide each side by 2
2x/2 = 38/2
x = 19
Answer:
19
Step-by-step explanation:
x+26+x+26+90 = 180
2x + 52 = 90
2x = 38
x = 19
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
A straight line is shown and is marked with three angles. The first angle measures 50 degrees. The second angle measures 60 degrees. The third angle is labeled x. The line between the 40 degree angle and angle x extends below the straight line. The angle formed is labeled angle y.
Write and solve an equation to determine the measure of angle y.
Answer: The answer is B
Step-by-step explanation:
please help me out. please am begging
Answer:
D
Step-by-step explanation:
The area of a triangle is given by:
[tex]A=\frac{1}{2} bh[/tex]
The base is 14 and the height is 8. Plug it into the formula:
[tex]A=\frac{1}{2} (8)(14)\\A=4(14)\\A=56\text{ cm}^2[/tex]
Rachelle buys a drink. She spends the same amount of money on her drink as Chuck spent on his candy. Rachelle now has only 1/3 of the same amount of money that she had before she bought the drink. How much money did Rachelle have before she bought the drink?
Answer:
$1.80
Step-by-step explanation:
2/3x = 1.2
x = 1.2 / (2/3)
x = 1.2 * (3/2)
x = 1.80
An octagonal pyramid ... how many faces are there, how many vertices and how many edges? A triangular prism ... how many faces are there, how many vertices and how many edges? a triangular pyramid ... how many faces are there, how many vertices and how many edges?
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Answer: just trust in God and you will find the answer
Step-by-step explanation:
A laptop has a listed price of $703.98 before tax. If the sales tax rate is 9.25% , find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
The cost of the laptop is $769.10Step-by-step explanation:
In this problem we are required to find the cost of the laptop when 9.25% of the cost is added as tax
we are given that the tax rate is 9.25% of the initial cost
and the initial cost is $703.98
let us calculate 9.25% of $703.98
(9.25/100)* 703.98= 0.0925*703.98= $65.12
Hence the charges for tax is $65.12
The total cost of the laptop when tax is included is
the initial cost Plus the tax charges= $703.98+$65.12= $769.098
$769.10
An average person's hair grows at a rate of 19cm per year how fast in inches per month does the average person hair grow in conversion factor round you answer to the nearest tenths
Answer:
Around 1.6 cm per month
Step-by-step explanation:
We can set up a proportion to find how much the hair grows per month. It's important to note that there are 12 months in a year, so we can represent a year as 12 months.
[tex]\frac{19}{12} = \frac{x}{1}[/tex]
We can now cross multiply:
[tex]19\cdot1=19\\\\19\div12=1.58\overline{33}[/tex]
1.58333... rounds to 1.6.
Hope this helped!
Today I would like for you to work one of the following problems and explain your process/reasoning clearly and thoroughly.
Answer:
Step-by-step explanation:
A line from the center of the circle to bisect a chord is perpendicular to the chord.
Therefore, OA⊥ AS
Join O & R
OR is radius of the circle
ΔOAR is right angled triangle.
Use Pythagorean theorem to find OR
OR² = OA² + RA²
= 3² + 4²
= 9 +16
OR² = 25
OR = √25
OR = 5 cm
OP is radius. Therefore, OP = OR = 5 cm
PA = OP + OA
= 5 + 3
PA = 8 cm
True or false? If false give counterexample The product of a rational number and an integer is not an integer
Answer:
False
Step-by-step explanation:
Required
State if the product of rational numbers and integer is an integer
The statement is false and the proof is as follows
Literally, rational numbers are decimal numbers that can be represented as a fraction of two integers;
Take for instance: 0.2, 0.5, 2.25, etc.
When any of these numbers is multiplied by an integer, the resulting number can take any of two forms;
1. It can result to an integer:
For instance;
[tex]0.2 * 5 = 1[/tex]
[tex]0.5 * 4 = 2[/tex]
[tex]2.25 * 8 = 18[/tex]
2. It can result in a decimal number
For instance;
[tex]0.2 * 3 = 0.6[/tex]
[tex]0.5 * 5 = 2.5[/tex]
[tex]2.25 * 7 = 15.75[/tex]
From (1) above, we understand that the product can result in an integer.
Hence, the statement is false
