The sample in this situation where professor wants to try out a new style of exam, thus, during finals, is 15.
What is random sample?Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
Sample is the particular group which is gathered from a data. A professor teaches four types of science classes. Professor wants to try out a new style of exam, thus, during finals,
The gives the new exam to 15 randomly selected students in each class and remaining other students take the regular exam. Thus, the sample is 15.
Hence, the sample in this situation where professor wants to try out a new style of exam, thus, during finals, is 15.
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What are three ratios equivalent to 12:16
Answer:
[tex]\dfrac{6}{8}, ~ \dfrac 34, ~\dfrac{24}{32}[/tex]
Step-by-step explanation:
[tex]\dfrac{12}{16} = \dfrac{12 \times \tfrac 12}{16 \times \tfrac 12} = \dfrac{6}8\\\\\\\dfrac{12}{16} = \dfrac{12\times \tfrac 14}{16 \times \tfrac 14} = \dfrac 34\\\\\\\dfrac{12}{16} = \dfrac{12 \times 2}{16 \times 2} = \dfrac{24}{32}[/tex]
Please Help! The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Emerson is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 1,264(1.09)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer.
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years.
r (number of years):
1
2
3
4
g(r) (amount in dollars):
1,375
1,512.50
1,663.75
1,830.13
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer.
Answer:
The account is decreasing at an annual rate rate of 8%.The account decreasing at annual rate of 10.00%
Account B is Recorded a greater percentage change in amount of money over the previous year.
Jayson has $18.00. He buys a ticket to the baseball game for $10.75.
How much money does Jayson have left? Draw or use bills and coins to solve.
A. $12.25
B. $10.25
C. $8.25
D. $7.25
Answer:
$7.25 or D
Step-by-step explanation:
First take the 18$ and the $10.75 and subtract 10.75 from 18 and get $7.25
PLEASE HELP ME FIND THE AREA AND CIRCUMFERENCE
A=32.2
C=20.11
see the step by step calculation attached..
This triangle can be called acute or _____________.
Question 1 options:
A: equilateral
B: isosceles
C: scalene
D: right
Answer:
B: isosceles
Step-by-step explanation:
Two angles of an isosceles acute triangle measure the same.
The area of a parallelogram is 31. 5 ft2 and the height is 6. 3 ft. What is the length of the base? 36 ft 24 ft 10 ft 5 ft.
Can anyone solve this correctly?
Answer:
Scale factor of 1/2.
Step-by-step explanation:
Note that the comparison is figure A to figure B'.
The original measurements that are given are the side measurements of 16 & 6. In comparison to the corresponding parts for the other figure, it would be 8 & 3 respectfully.
Find the factor in which they change by multiplying.
16x = 8
6x = 3
Isolate the variable by dividing:
(16x)/16 = (8)/16
x = 8/16 = 1/2
(6x)/6 = (3)/6
x = 3/6 = 1/2
The scale factor is 1/2.
~
Find the equation of the tangent line to the curve y=
The equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.
What is the equation of tangent?There are two important elements to finding an equation that defines a tangent line: its slope and its point of contact with a curve.
The equation of the given curve is;
[tex]\rm y=x^2-2x+7[/tex]
On differentiating with respect to x, we get:
dx/dy=2x−2
The equation of the line is;
2x−y+9=0
y=2x+9
The slope of the line =2
If a tangent is parallel to line 2x−y+9=0, then the slope of the tangent is equal to the slope of the line.
Therefore, we have:
2=2x−2
2x=4
x=2
Now, at x=2
y=22−2×2+7=7
Thus, the equation of the tangent passing through (2,7) is given by,
y−7=2(x−2)
y−2x−3=0
Hence, the equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.
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please show work if possible
Step-by-step explanation:
Reflection in y-axis means g(x) = f(-x)
g(x) = - 3x + 7
The economy of Rayton can be described by the following statistics:
Current real GDP = $10,000
Full employment real GDP = $12,000
Tax revenue = $3000
Government transfer payments = $1000
Government spending = $3000
a) In what stage of the business cycle is the Rayton economy? Explain.
b) What is the current budget balance in Rayton? Show your work.
c) Senator Fullington, an influential politician in Rayton, has argued that the budget must be
balanced. How could this be accomplished? How would balancing the budget affect real GDP in
Rayton?
Based on the current real and the full employment real GDP, Rayton's economy is at a Recession stage.
The current budget balance in Rayton is -$1,000. The budget can be balanced by reducing government spending or increasing taxes. Both of these would decrease real GDP.
What does the economic data on GDP show?The fact that the current real GDP is less than the full employment GDP shows that the nation is at a recession stage where it is underperforming.
What is the current budget balance?This can be found as:
= Government revenue(taxes) - government spending
= 3,000 - 1,000 - 3,000
= -$4,000
In order to make a balanced budget where government revenue will equal government spending, the government either needs to reduce spending or increase revenue ( taxes ).
Increasing taxes or reducing spending, will lead to less money available for spending in the economy which will lead to a decrease in real GDP.
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The volume inside a rectangular storage room is 2,070 cubic feet. The room is 9 feet high. Find the area of the floor.
Answer:
230
Step-by-step explanation:
V = Base x hight
2070 = Base x 9
Base = 2070/9
Base = 230
Area = base
Area = 230
HELP PLEASE ILL GIVE THE BRAINLEST THING IF U DO QUICK
Answer:
8 units, 15 units, 17 units
Step-by-step explanation:
A triangle can only be considered a right triangle if it satisfies the Pythagorean Theorem.
Case 1 : Side lengths 8, 9, 15
8² + 9² = 15²64 + 81 = 225145 ≠ 225Not satisfiedCase 2 : Side lengths 8, 15, 17
8² + 15² = 17²64 + 225 = 289289 = 289Satisfies conditionTherefore, she should use the side lengths 8 units, 15 units, 17 units, as it forms a right triangle.
What is the value of x?
Answer: 44
Step-by-step explanation:
help me, i really need this math question
Consider a triangle like the one below. Suppose that 50 , 30 , 73 and . (The figure is not drawn to scale.) Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
Answer:
A=31.64 B= 18.34 C= 130.20
Step-by-step explanation:
calculating for A using cosine rule
50^2= 30^2+73^2-2×30×73CosA
2500= 900+5329-4380COSA
2500= 6329-4380COSA
2500-6329= -4380COSA
-3729= -4380COSA
COA= -3729/-4380
COSA= 0.8514
A=COS^-1(0.8514)
A= 31.64
calculating B using sinerule
sin 31.64/50= sinB/30
sinB = sin31.64×30/50
sinB = 0.3147
B = 18.34
calculating for C
31.46+18.34+C= 180
C= 180-49.8
C=130.20
PLS ANSWER ILL GIVE BRAINLIEST TO THE FASTEST ANSWER!!!!!!
Answer:
2 is right 4 and 7 that's all I know
Step-by-step explanation:
How many boxes of markers must be sold for the company’s income to equal the cost of production
A rectangle has a length of 15.8 inches and a width of 11.9 inches. What is the area of the rectangle? Enter your answer as a decimal in the box. in²
Answer:
Hi, I belive your answer is 188.02
sorry if it is wrong
Here is how to get the answer which is 188.02; 11.9 x 15.8= 188.02in²
and here you go have a splendid day!
Step-by-step explanation:
Answer:
188.02
Step-by-step explanation:
Work out, giving your answer in its simplest form
Answer:
36
Step-by-step explanation:
⅔ ×3³/5
⅔×18/5
10×54 = 540
15 15
=36
6. How many right angles does this shape have?
Answer:
none
Step-by-step explanation:
This shape has no right angles
Horst pulled pizza out of the oven and cut it into 4 equivalent pieces. He ate two of them. his sister came in and cut one of the remaining pieces into three smaller, equivalent pieces. She ate two of the small pieces.
A What fraction of the pizza did each of them eat?
B.What fraction of the pizza is left.?
Answer: Brother ate 1/2, sister ate 1/6
Pizza left 1/3
Step-by-step explanation:
The first person ate ½.
Sister cut ¼÷3 = ¼× ⅓= 1/12
She ate 2/12 = ⅙
Left 1/4 + 1/12 = 4/12 = 1/3
Find the new dimensions of the figure given at right when it is enlarged by scale factor of 2.5 then find the perimeter and area of the original and enlarge it figure
The perimeter and area of the original are 20 ft and 23.5 square ft and the enlarged figure are50 ft and 146.875 square ft.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is the combination of a triangle and a square.
The area of the original (A₀) figure will be
[tex]\rm A_o = \dfrac{1}{2} \times 3 \times 5 + 4 \times 4\\\\A_o = 23.5 \ ft^2[/tex]
The perimeter of the original figure (P₀) will be
[tex]\rm P_o = 3 + 5 + 4 + 4 + 4\\\\P_o = 20 \ ft[/tex]
The scale factor is 2.5.
Then the dimension of the triangle will be
h = 2.5 × 3 = 7.5 ft
b = 2.5 × 5 = 12.5 ft
Then the dimension of the square will be
a = 2.5 × 4
a = 10 ft
The area of the new figure will be
[tex]\rm A = \dfrac{1}{2} \times 7.5\times 12.5 + 10*10\\\\ A = 146.875 \ ft^2[/tex]
The perimeter of the new figure will be
[tex]\rm P= 7.5 + 12.5 + 10+ 10+ 10\\\\P = 50 \ ft[/tex]
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Answer:
To find the perimeter of an enlarged figure, you can multiply the original figure’s perimeter by the scale factor. You could also multiply each dimension of the original figure by the scale factor to find the dimensions of the enlarged figure, and then add to find the perimeter.
can someone help me here
NONSENSE=REPORT
topic: Inscribed Quadrilateral theorem in a Circle
Answer:
Step-by-step explanation:
Problem 12
Comment
A cyclic quadrilateral (a 4 angled quadrilateral where all 4 corners touch the circumference of a circle), has the property that opposite angles add up to 180 degrees.
Formula
4x + 9 + 3x + 3 = 180 Collect like terms
Solution
4x + 3x + 9 + 3 = 180 Combine
7x + 12 = 180 Subtract 12 from both sides
7x + 12 -12 = 180 - 12 Combine
7x = 168 Divide by 7
7x/7 = 168/7
x = 24
Answer
x = 24
Problem 13
Comment
Same comment as was given for problem 12
Formula
3x + 2 + 3x - 32 = 180 Collect like terms
Solution
3x + 3x +2 - 32 = 180 Combine
6x - 30 = 180 Add 30 to both sides
6x -30+30 = 180 + 30
6x = 210 Divide by 6
6x/6 = 210/6
x = 35
Answer
x = 35
Hey there!
[QUESTION #12]
EQUATION: 4x + 9 + 3x + 3 = 180°
4x + 9 + 3x + 3 = 180°
COMBINE the LIKE TERMS
(4x + 3x) = (9 + 3) = 180°
4x + 3x + 9 + 3 = 180°
7x + 12 = 180°
SUBTRACT 12 to BOTH SIDES
7x + 12 - 12 = 180 - 12
SIMPLIFY IT!
7x = 180 - 12
7x = 168
DIVIDE 7 to BOTH SIDES
7x/7 = 168/7
SIMPLIFY IT!
x = 168/7
x = 24
Therefore, the answer should be:
x = 24
[QUESTION #13]
EQUATION: 3x + 2 + 3x - 32 = 180°
3x + 2 + 3x - 32 = 180°
COMBINE the LIKE TERMS
(3x + 3x) + (2 - 32) = 180°
3x + 3x + 2 - 32 = 180°
6x - 30 = 180°
ADD 30 to BOTH SIDES
6x - 30 + 30 = 180 + 30
SIMPLIFY IT!
6x = 180 + 30
6x = 210
DIVIDE 6 to BOTH SIDES
6x/6 = 210/6
SIMPLIFY IT!
x = 210/6
x = 35
Therefore, the answer should be:
x = 35
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Solve for x, then choose
the correct graph.
-2x + 5 > 11
(A)
o
-3
-2
o
(B)
-5 -4 -3 -2 1
Answer:
x=-3 and the graph is A since x>-3
Sam has a total of 58 DVD's and CD's. In the number of CD's is two more than three times the number of
DVD's, how many CD's does he have?
a) 42
b) 14
c) 44
d) 12
Answer: C 44
Step-by-step explanation:
CD is (3×14) + 2
35,000 divided by 120
Answer:
291.666666667
Step-by-step explanation:
Rounds to 291.7
Answer:
35000/120 = 291 and 2/3
Step-by-step explanation:
picture of problem below
Answer:
umm soo yea first you figure out how to do the problem, second you do the problem then you get the answer
Step-by-step explanation:
ur welcome
Find the slope-intercept form for the line satisfying the conditions.
Perpendicular to y=-1/2x+6, passing through the point (5,-4)
Answer:
LETS DO THIS!
Step-by-step explanation:
when a line is perpendicular the line is negative and reciprocal.y
y=2x+6
now we substitute.
-4=2(5)+b
-4=10+b
-14=b is your answer
Step-by-step explanation:
Hlew frnd!
To find the slope of the perpendicular line we just take the reciprocal and therefore change the sign of slope,
Perpendicular to y = -½x + 6
Hence, the slope will be = -½ = 2
Now we have to find the slope-intercept form, So
here y intercept is given and the point will be (0,b) then eqs. of line,
=> y = mx + b [slope-intercept form]
=> -4 = 2*5 + b
=> -4 = 10 + b
=> b = -14
______________ of rational numbers is distributive over addition of rational numbers.
Answer:
the multiplication of rational numbers is distributive over addition of rational numbers.
50 points please help
please explain your answer please ( such as formula n such )
Answer:
See below ~
Step-by-step explanation:
Part (a) :
Formula : Perimeter = 2 (Length + Width)⇒ 278 = 2(54 + Length)⇒ 139 = 54 + LengthLength = 139 - 54 = 85 mPart (b) :
Formula : Area = Length × Width⇒ 8811 = 99 x Width⇒ Width = 8811/99Width = 89 cmAnswer:
(a) The length is 85 m.
(b) The width is 89 cm.
Step-by-step explanation:
(a)
Perimeter (P) formula using the length (L) and width (W) of a rectangle.
P = 2L + 2W
P = 278 m
W = 54 m
278 = 2L + 2(54)
2L + 108 = 278
2L = 170
L = 85
Answer: The length is 85 m.
(b)
Area (A) formula using the length (L) and width (W) of a rectangle.
A = LW
A = 8811 cm²
L = 99 cm
8811 = 99 × W
W = 8811/99
W = 89
Answer: The width is 89 cm.
Cost of a shirt: $14.95
Markup: 25%
Discount: 45%
Answer:
markup= 19.93 revenue, 4.98 gross profit
discount= $8.72
