Answer:
A and CStep-by-step explanation:
Width = pLength = 3p + 5Perimeter:
2(w + l) = 2(p + 3p + 5) =2(4p + 5) =8p + 10Correct options are A and C
Answer:
2(4p+5)8p+10Step-by-step explanation:
to understand thisyou need to know about:algebracreating algebraic expressionPEMDAStips and formulas:parameter of rectangle:2(l+w)let's solve:let width be p
according to the first condition
The length is 5 more than 3 times the widththerefore
the length is
3×p+5
3p+5
Parameter of a rectangle
=2(l+w)
=2(3p+5+p)
=2(4p+5) {combine like terms}
=8p+10{distribute 2}
Consider the bus ridership example. intuitively, l1 and l2 are not independent, so we suspect (a) does not hold with x = l2 and y = l1. determine the difference. (find the three variances analytically
The difference between the three variances, Var(x), Var(y), and Var(x + y), can be determined analytically in the context of the bus ridership example.
In the given context, let's consider two variables: x represents the ridership on line l2, and y represents the ridership on line l1. The statement mentions that intuitively, l1 and l2 are not independent, meaning they are related in some way.
To determine the difference between the variances, we need to calculate the variances of x, y, and the sum of x and y, which is x + y.
Var(x): This represents the variance of the ridership on line l2. It quantifies the spread or variability in the data points of x. To calculate Var(x) analytically, you can use the formula: Var(x) = E[(x - μx)^2], where E represents the expectation (mean) operator and μx represents the mean of x.
Var(y): This represents the variance of the ridership on line l1. Similar to Var(x), it quantifies the spread or variability in the data points of y. Var(y) can be calculated using the same formula as Var(x): Var(y) = E[(y - μy)^2], where μy represents the mean of y.
Var(x + y): This represents the variance of the sum of ridership on both lines l1 and l2. It measures the combined variability of the two variables. To calculate Var(x + y), you can use the formula: Var(x + y) = E[(x + y - μ(x + y))^2], where μ(x + y) represents the mean of the sum of x and y.
By analytically calculating the three variances, Var(x), Var(y), and Var(x + y), you can compare them to understand their differences and the relationship between the ridership on line l1 and line l2.
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3. BUSINESS Katherine spends $700.50 each month for rent and supplies to run her hair salon. If she charges $15 for a haircut, how many haircuts must Katherine do to cover her monthly expenses? Find the decimal answer then, round to the nearest whole number.
Answer: about 47 haircuts
Aerin's friend Fritz gives her a riddle to solve about the ages of the people in his family. There are 5 people in Fritz's family: Mom, Dad, his sisters Adele and Erika, and Fritz. Here are the clues to the puzzle. 1) Mom is 8 years younger than Dad. 2) Dad is 2 times as old as Fritz. 3) Adele is 4 years old. 4) Fritz's age plus Adele's age equals Erika's age. 5) Mom was 24 when Erika was born. 6) In 9 years, Mom will be twice as old as Erika will be. All the ages are whole numbers. Aerin decides to use variable for the unknown ages and write equations to express the information. M
Answer:
Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4
Step-by-step explanation:
Let M = Mom's age, D = Dad's age, F = Fritz's age, A = Adele's age and E = Erika's age.
Given that
1) Mom is 8 years younger than Dad, we have D = M + 8 (1)
2) Dad is 2 times as old as Fritz. D = 2F (2)
3) Adele is 4 years old. A = 4 (3)
4) Fritz's age plus Adele's age equals Erika's age. F + A = E (4)
5) Mom was 24 when Erika was born. M = E + 24 (5)
6) In 9 years, Mom will be twice as old as Erika will be. M + 9 = 2(E + 9) (6)
Substituting (5) into (6), we have
E + 24 + 9 = 2(E + 9)
E + 33 = 2E + 18
subtracting E from both sides, we have
2E - E + 18 = 33 + E - E
E + 18 = 33
subtracting 18 from both sides, we have
E + 18 - 18 = 33 - 18
E = 15
M = 15 + 24 = 15 + 24 = 39
From (4) F = E - A = 15 - 4 = 11
From (1) D = M + 8 = 39 + 8 = 47
So, their ages are Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4
8 ir
2 in
6 in.
Il in
SOME PLEASE HELP RNN!!!
Answer:
240 in²
Step-by-step explanation:
3 x 8 x 6 = 144
2 x 6 x 8 = 96
144+96 = 240
A store sells grape jelly in 15-ounce jars for $13.59. Find the price per ounce
Answer:
91 cents per ounce
Step-by-step explanation:
Divide 13.59 by 15
Answer: $0.91
Step-by-step explanation:
Take $13.59 divided by 15 = $0.91 per ounce
If you can, please give me a Brainliest, I need 2 more to get to the highest rank, thank you!
Carlos has 4 1/2 gallons of paint. To paint a room that is 10 ft by 10 ft, he uses 34 gallon of paint. How many 10 ft by 10 ft rooms can Carlos paint? A. 4 1/3 rooms B. 4 2/3 rooms C. 6 rooms D. 9 rooms
Answer:
C. 6 rooms
Step-by-step explanation:
I think you means he uses 3/4 gallon for 1 room.
This is a division problem. Divide the amount of paint he has by the amount he uses to paint one room.
(4 1/2)/(3/4) = (9/2)/(3/4) = 9/2 * 4/3 = 36/6 = 6
Answer: 6 rooms
!!!!!Which function do i use (COS TAN SIN) and how do i go about it? a walkthrough would be so so so so so so so so appreciated!!!!!!!!!!!!
Answer:
what the said
Step-by-step explanation:
Alton is making a sandbox for his kids in the backyard. He has 400 feet of board for the sides of the sandbox. A. Define the function A(w) to represent the area of the sandbox as a function of the width. Explain your reasoning. B. Determine the maximum area of the sandbox as well as the length and width that will result in the maximum area. Explain your reasoning.
Answer:
The answer is below
Step-by-step explanation:
a) Let the width be represented as w and the length be represented as l.
The perimeter of the sand box = 2(l + w)
Since there is 400 feet of material for the sides of the sandbox, hence:
400 = 2(l + w)
200 = l + w
l = 200 - w
The area (A) is:
A = length * width
A = (200 - w) * w
A(w) = 200w - w²
b) The maximum area is at A'(w) = 0. Hence:
A'(w) = 200 - 2w
200 - 2w = 0
2w = 200
w = 100 feet.
l = 200 - w = 200 - 100
l = 100 feet.
Area = length * width = 100 * 100 = 10000 feet²
The maximum area of the sandbox is 10000 feet², with a length of 100 feet and width of 100 feet.
I WILL GIVE BRAINIEST, PLEASE HELP
Answer:
A = (1, 10)
B = (4,10)
C = (4, 14)
D = (1, 16)
Step-by-step explanation:
Okay, so first, we move, or translate the quadrilateral PQRS down -8 spaces on the graph, turning old points:
P (1, -2) = (1, -10) Q (4, -2) = (4, - 10) S (1, -8) = (1, -16) and R (4, -6) = (4, -14)
Now, we need to rotate this new box into -x, y. So our new points are:
(1, -10) = (-1, 10) (4, -10) = (-4, 10) (1, -16) = (-1, 16) and (4,-14) = (-4, 14)
Now we're reflecting off the y-axis, making our x change. So for our final points:
A(1, 10) B (4,10) D(1, 16) and C(4, 14)
Hope this helps! Please check my math and comment wether this worked or not! :)
Answer:
hi
Step-by-step explanation:
If Jose can make 3 baskets in 20 seconds, what is the unit rate?
Alicia spun a spinner 100 times, and the results are shown in the following table. What is the relative frequency for the spinner to land on number 1?
Responses
Answer:
3/25
Step-by-step explanation:
In a box of chocolates, of the chocolates are white chocolate, are milk
chocolate, and the rest are dark chocolate.
What fraction of the chocolates are dark chocolate?
......................................................................
The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the lengths of the sides?
The lengths of the sides of the triangle in cm are____?
Answer:
A(8)=32cm
B(9)=36cm
C(10)=40cm
Step-by-step explanation:
let 8:9:10=A:B:C
∑ratios=8+9+10=27
Therefore lengths or triangles:-
Como medir la altura de un arbol usando el teorema de thales
Answer:
????
Step-by-step explanation:
There were 9 toy cars each with 10 parts,a boy removed all the parts and used them to build 6cars equally how many parts were in each new car
There are 6.7 parts in each of the new car
Calculating how many parts were in each new carFrom the question, we have the following parameters that can be used in our computation:
There were 9 toy cars each with 10 parts
So, the ratio is
Ratio = 10 parts/9 cars
The boy created 6 cars
This means that the the number of parts in each car is
Parts = 6 cars * 10 parts/9 cars
Evaluate
Parts = 6.7
Hence, there are 6.7 parts in each of the new car
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Mary rounds these numbers to the nearest hundred. Which number does she round to 400? Choose all that apply. A) 351. B) 369 C). 401. D) 413. E) 448
Answer:
401
Step-by-step explanation:
What is the value of x?
Answer:
46°
Step-by-step explanation:
from large triangle:
let the third unknown angle be 'a'
then,
a+x+7+85=180
a=88-x
now,from small triangle,
let the third unknown angle be 'b'
then,
b+x+2x=180
b=180-3x
b=a (vertically opposite angles)
then,
180-3x=88-x
2x=92
x=46
If x=7 and y=−5, evaluate the following expression:3x−y2
Answer:
the expression is equal to 31
Step-by-step explanation:
3x-y23(7) - (-5)221 - (-10)21 + 10 = 31Answer:
31
Step-by-step explanation:
Substitute x and y into the equation to get..
(3×7)-(-5×2)
21- -10
31
Hope this helps :)
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In the square below, the two semi-circles are congruent. Find the area of the
shaded region. If necessary, round your answer to two decimal places.
Answer:
3.44.
Step-by-step explanation:
We can see that in this square, the radii of the semicircles are 2. Using that, we can calculate that the area of each one is 6.58. Both combined is 12.56. Now, the original area of the circle was 16. 16 minus 12.56 is equal to 3.44, so the area of the shaded region is 3.44.
Answer:
3.44
Step-by-step explanation:
enter it just like that in ape x
Find the value of x.
135°
(7x + 2)°
x = [?]°
The required value of the x in the expression of angle is 19.
An expression of angle is given as 7x + 2 = 135°, the value of the x is to be determined.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
7x + 2 = 135
Simplifying,
7x = 135 - 2
7x = 133
x = 133 / 7
x = 19
Thus, the required value of the x in the expression of angle is 19.
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150 students living in Dunedin hostels became sick with the flu over a 3 month period. What measure of occurrence does this statement describe
The statement describes the incidence measure of occurrence, which refers to the number of new cases of a disease or condition that occur in a defined population over a specific period of time.
This statement describes the incidence rate of flu among students living in Dunedin hostels.
The incidence rate is a measure of occurrence that calculates the number of new cases (in this case, students getting sick with the flu) in a specific population (150 students in Dunedin hostels) over a specific time period (3 months). This rate helps us understand the frequency at which the flu is affecting this particular group of students
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Lines n and o are parallel and are cut by the transversal p.
What is the value of x?
Answer:
Step-by-step explanation:
here the alternally exterior angle sum property:
48°+(2x+2)°=180°
⇒2x+2°=180°-48°
⇒2x+2°=132°
⇒2x=130°
⇒x=65°
PLEASE HELP IM STUCK
Step-by-step explanation:
we have
2y = 4x - 9
and we want it to look like
...x + ...y = -9
simple.
the y term is already on the left side. we need to move the x term to the same side.
what do we do ? we subtract the term we want to get rid of on one side from both sides (we always have to do changes in both sides of the equation, or we change the whole meaning of the equation).
2y = 4x - 9 | -4x on both sides
-4x + 2y = -9
and we are finished. that's it.
Answer:
-4x + 2y = -9
Step-by-step explanation:
Pre-Solving InformationWe are given the equation 2y=4x-9, and we want to convert it into standard form.
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, however a and b cannot be 0.
SolvingNotice how in standard form, x and y are on the same side. Currently, x and y are on different sides.
Therefore, we first need to get x and y on the same side.
We can do this by subtracting 4x from both sides.
2y = 4x - 9
-4x -4x
_____________
-4x + 2y = -9
As indicated by the -9 on the left side, we have solved the question, and are now done.
Hence, the answer is -4x + 2y = -9.
A quadratic function y=f(x)is plotted on a graph and the vertex of the resulting parabola is (-6, 5). What is the vertex of the function defined as g(x)=f(x-3)?
Answer:
The answer is (-9, 5). Hope this helps.
which of the following is the reciprocal of 5
Answer:
C
Step-by-step explanation:
The reciprocal is always the number flipped over.
E.g. reciprocal of 9 is 1/9 and the reciprocal of 1/9 is 9
Answer:
C. 1/5
Step-by-step explanation:
How can you evaluate 2 to the power of 0
Answer:
How about this: There's always an implicit 1 in the expansion:
23=2⋅2⋅2⋅1=8
22=2⋅2⋅1=4
21=2⋅1=2
20=1=1
need help NOWWW!! True or false, the two triangles are congruent by SSS.
true
false
Answer:
false
Step-by-step explanation:
i think i hop i halp
Solve the equation.
7h-5(3h-8)= -72
7h-15h+40=-72
40+72=15h-7h
112=8h
h=14
this is what truthfully struggle with can someone explain how i do this please then imma try it on my own
what is the standard deviation for 54, 36, 30, 28, 27
Answer:
11.18
Step-by-step explanation:
Step 1: average : (54+36+30+28+27) / 5 = 35
Step 2: variance:
sum of the squares of (each number - average value) divided by (n-1)
[ (54-35)^2 + (36-35)^2 + (30-35)^2 + (28-35)^2 + (27-35)^2 ] / (5-1) = 125
Step 3: standard deviation = √(variance) = √125 = 5√5 (about 11.18)