Using the probability scale, what is the probability that a spinner with 4 equal parts numbered 1-4 will land on the 1 on the next spin?
A impossible 0%
B unlikely 25%
C equally likely/evens 50%
D certain 100%
Answer:
B
Step-by-step explanation:
Just ask!
Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?
Answer:
all 3 options are true : A, B, C
Step-by-step explanation:
warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.
they say that A and C are correct.
but I am going to show you that if A and C are correct, then also B must be correct.
therefore, my given answer above is the actual correct answer (no matter what the test systems say).
originally the information about the alignment of the point F in relation to point E was missing.
therefore, I considered both options :
1. F is on the same vertical line as E.
2. F is not on the same vertical line as E.
because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :
the vertical line of EF is like a mirror between the left and the right half of the picture.
A is mirrored across the vertical line resulting in B. and vice versa.
the same for C and D.
this leads to the effect that all 3 given congruence relationships are true.
if we consider assumption 2, none of the 3 answer options could be true.
but if the assumptions are true, then all 3 options have to be true.
now, for the "why" :
remember what congruence means :
both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.
for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.
so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.
therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.
but do you notice something ?
both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.
now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.
therefore, AC must be equal to BD.
and that means that AC is congruent to BD.
because lines have no other congruent criteria - only the lengths must be identical.
Factor completely:
x³ - 9x
Answer:
x(x+3)(x-3)
Step-by-step explanation:
Factor out common term x
=x(x^2-9)
Factor x^2-9;
(x+3)(x-3)
=x(x+3)(x-3)
Answer:
x(x + 3)(x - 3)
Step-by-step explanation:
What we're given is a difference of squares multiplied by x. If we start by factoring x out, we can simply expand the binomial:
x³ - 9x
= x(x² - 9)
= x(x + 3)(x - 3)
Any time you see an expression in the format a² - b², that is called a difference of squares, and can always be expanded out to (a + b)(a - b). In this case, a is x, and b is 3.
Joan draws abar chart to show the temperatures at midday on march first in five cities
Answer:
she didnt put an arrow on the x axis :)
Step-by-step explanation:
You have quarters and dimes that total $2.80. Your friend says it is possible that the number of quarter is 8 more than the dimes . is your friend correct? Explain let d represent the number of dimes.
Answer:
Our friend is incorrect.
# of Quarters = 10
# of Dimes = 3
Step-by-step explanation:
For this problem, we will need to write two equations to find the amount of quarters and dimes we have to test our friend's hypothesis.
Let d represent the number of dimes and q represent the number of quarters.
Then, we can build the following equations:
0.25q + 0.1d = 2.8
q = 8 + d
Note, the value of a quarter is $0.25 and the value of a dime is $0.10.
Now, we can plug the value in for q and solve for d to test our friend's hypothesis.
0.25q + 0.1d = 2.8
0.25(8 + d) + 0.1d = 2.8
2 + 0.25d + 0.1d = 2.8
2 + 0.35d = 2.8
2 + 0.35d + -2 = 2.8 + -2
0.35d = 0.8
0.35d * ( 1 / 0.35 ) = 0.8 * ( 1 / 0.35 )
d = 2.857
Note, we cannot have part of a dime so if we were to follow conventionally rounding rules you would say d = 3; however, in terms of currency you would want to round down (Use a floor function) so d = 2.
If d = 2, we can say the following:
q = 8 + d
q = 8 + 2
q = 10
Hence, we would have 10 quarters and 2 dimes, but wait, that would only be 10 * 0.25 and 2 * 0.1 which is 2.7. That is not our 2.8 value for the amount of money we had. Why might this be?
Due to the nature that coins cannot be partial, we had to round down. What if we said we had 3 dimes ( d = 3 ) ?
If d = 3, we can say the following:
q = 8 + d
q = 8 + 3
q = 11
Hence, we would have 11 quarters and 3 dimes, but wait, that would be 11 * 0.25 and 3 * 0.1 which is 3.05 which is greater than our value of 2.8.
From these two possibilities, we can say that our friend's hypothesis could be plausible if we were allowed to have fractional coins; however, since coins are whole, the friend was incorrect.
To find the actual value of coins, we will modify our formula to be based on a ceiling function (Rounded up to the whole number) for dimes.
q = 8 + (d - 1)
The reason we are using d - 1, is to account for the extra dime we are adding by using the ceiling function. Hence, let's solve given d = 3.
If d = 3, we can say the following:
q = 8 + ( d - 1 )
q = 8 + ( 3 - 1 )
q = 8 + 2
q = 10
Hence, we can say that 10 quarters and 3 dimes, ($2.50 and $0.30) will be equivalent to our original $2.80.
Cheers.
McMullen and Mulligan, CPAs, were conducting the audit of Cusick Machine Tool Company for the year ended December 31. Jim Sigmund, senior-in-charge of the audit, plans to use MUS to audit Cusick's inventory account. The balance at December 31 was $9,000,000. Required: a. Based on the following information, compute the required MUS sample size and sampling interval using Table 8-5: (Use the tables, Enot IDEA, to solve for these problems. Round your interval answer to the nearest whole number.) Tolerable misstatement = $360,000 Expected misstatement = $90,000 Risk of incorrect acceptance = 5%
Using MUS for auditing the inventory account of Cusick Machine Tool Company, the required sample size is 156 and the sampling interval is $57,692. The auditor can use this information to select the sample and test the account accurately.
In this scenario, Jim Sigmund, a senior in charge of the audit, plans to use MUS (Monetary Unit Sampling) to audit Cusick Machine Tool Company's inventory account. The MUS is a statistical sampling method that uses monetary units as a basis for selecting a sample.
The sample size is determined by considering the tolerable misstatement, expected misstatement, and the risk of incorrect acceptance. To determine the required MUS sample size and sampling interval, we need to use Table 8-5. The tolerable misstatement is the maximum amount of error that the auditor is willing to accept without modifying the opinion.
In this case, it is $360,000. The expected misstatement is the auditor's estimate of the amount of misstatement in the account. Here, it is $90,000. The risk of incorrect acceptance is the auditor's assessment of the risk that the sample will not identify a misstatement that exceeds the tolerable misstatement. It is 5%.
Using Table 8-5, we can find the sample size and sampling interval based on these factors. The sample size is 156, and the sampling interval is $57,692. This means that every $57,692 in the inventory account is a sampling interval, and the auditor needs to select 156 monetary units for testing.
The calculation for the sampling interval is determined by dividing the recorded balance of the account by the sample size. In this case, the recorded balance is $9,000,000, and the sample size is 156. Thus, the sampling interval is $57,692 ($9,000,000 / 156).
In conclusion, using MUS for auditing the inventory account of Cusick Machine Tool Company, the required sample size is 156 and the sampling interval is $57,692. The auditor can use this information to select the sample and test the account accurately.
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Complete Question:
McMullen and Mulligan, CPAs, were conducting the audit of Cusick Machine Tool Company for the year ended December 31. Jim Sigmund, senior-in-charge of the audit, plans to use MUS to audit Cusick's inventory account. The balance at December 31 was $9,000,000.
Based on the following information, compute the required MUS sample size and sampling interval using Table 8-5: (Use the tables, Enot IDEA, to solve for these problems. Round your interval answer to the nearest whole number.)
Tolerable misstatement = $360,000
Expected misstatement = $90,000
Risk of incorrect acceptance = 5%
Table 8-5:
Sample Size- 156
Sampling Interval - $57,692
-2x-7 > 1 or x - 2 ≥-1
The inequalities are solved below
What are inequalities?
A connection in mathematics that compares two numbers or other mathematical functions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line. To indicate various sorts of inequalities, a variety of notations are employed. The following characteristics control inequalities. Any of these characteristics are also true if monotonic functions are restricted to strictly monotonic functions and all non-strict inequalities ( and ) are replaced by their equivalent strict inequalities ( and >). On each side of an inequality, a common constant c can be added to or removed from.
The inequalities are solved below
-2x-7>1 x-2≥-1
or, -2x>1+7 or, x≥-1+2
or, -x>8/2 or, x≥1
or, x<-4
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Which of the ratios below is equivalent to 2:3? Select all that apply.
A) 9:6
B) 10:15
C) 8:12
D) 4:5
E) 20:30
Answer:
Your answers are B, C, and E.
Step-by-step explanation:
They are all equivalent to 2:3.
You cut a 90-foot rope into 6 pieces of equal length. What is the length of
each piece?
Answer:
Length = 15
Step-by-step explanation:
The problem can be solved by dividing the total length of the rope (90-feet) by the total pieces you want from the rope (6 pieces). This information can be used to make this equation
90 feet / 6 pieces
Which equals
90 feet / 6 pieces = 15 feet/piece (15 feet per peice)
Hope this helps :)
Can ΔTSR and ΔQRS be proven congruent by SAS?
yes, because along with the given information on the diagram, SR ≅ RS by the reflexive property
yes, because a reflection will map ΔTSR onto ΔQRS
yes, because P appears to be the midpoint of SQ and TR
no, because not enough is information given to prove the triangles congruent by SAS
Answer:
d. No, because not enough is information given to prove the triangles congruent by SAS
Step-by-step explanation:
It doesnt give u measures of some important angles. I also got it right
Answer:
D. no, because not enough is information given to prove the triangles congruent by SAS
Step-by-step explanation:
edge2021
A group of people dined at a restaurant. The price of shared appetizers was $28, and the average price of each person’s entrée was $12. If the total amount of the bill, including a 20% tip, was $120, how many people were in the group?
Answer:
6 people
Step-by-step explanation:
Chose the correct solution set for each graph.
{x1x2-2)
o {xxs-2}
(-2,00)
(-5,00)
(-00,-5)
{xlx>-5}
{x}x<-5}
{x1–2
{x12
{<1-3
<
(-2,3)
(3,-2)
[-2,2]
(-60,-2)
{x1x2-5}
Answer:
1.B&E
2.A&C
3.A&D
Step-by-step explanation:
thank me if you get it correct have a nice day:)
Answer:
B & E.A & C.A & D.Step-by-step explanation:
Can someone help me plz. Thank you! :)
Answer:
If I knew the answer I would have helped you but I don't know it sorry.
In the image above, what do the red arrows on lines mean?
A game where pursuing dominant strategies results in noncooperation that leaves everyone worse off is called a?
A game where pursuing dominant strategies results in noncooperation that leaves everyone worse off is called a "prisoner's dilemma."
What is prisoner's dilemma?A prisoner's dilemma is a decision-making paradox wherein two individuals working in their very own self-interest do not generate the best solution.
Some key features regarding the prisoner's dilemma are-
The prisoner's dilemma is one in which individual decision-makers have an incentive to make choices that result in a suboptimal outcome again for individuals as a group.Individuals obtain the biggest payoffs inside the classical prisoner's dilemma if they betray their group rather than collaborate.Many elements of the economy are affected by the prisoner's dilemma.If the games are repeated, each player can create a strategy that promotes collaboration.People have devised numerous techniques for overcoming prisoner's dilemmas in order to pick better group outcomes despite seemingly adverse individual incentives.To know more about the prisoner's dilemma, here
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70 is 40% of what number?
oh oh i had this question jn leh me find it !!!
Answer: 175
Step-by-step explanation:
If you take 100(as a percentage) and divide it by 40, you get 2.5, 70x2.5 is 175
local government officials are interested in knowing if taxpayers are willing to support a school bond initiative that will require an increase in property taxes. a random sample of 750 likely voters was taken. four hundred of those sampled favored the school bond initiative. the 98% confidence interval for the true proportion of voters favoring the initiative is .
The real percentage of voters who support the initiative has a 98% confidence interval, and that interval is (0.565, 0.635).
Sample size: 750 people.
450 people voted in support of the school bond issue.
Secondly, the percentage of voters who supported the school bond measure,
p = 450 ÷ 750 = 0.6
Significance level: 1 - 0.98 = 0.02
Critical value: \(Z_{\alpha/2}\) = 1.96
The formula for a population proportion's confidence interval is
p ± \(Z_{\alpha /2}\)√(p(1 - p) ÷ n)
= 0.6 ± 1.96 √(0.6(1 - 0.6) ÷ 750)
= 0.6 ± 0.0350
= 0.6 + 0.0350 and 0.6 - 0.0350
= (0.635, 0.565)
As a result, the 98% confidence level for the actual voter support for the proposal is (0.565, 0.635).
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Plsss need help jahahahahababahhaha
Answer:
ummm try to solve it
Step-by-step explanation:
Deb wants to put up a fence around her garden.
The fence costs £3 per metre.
The fencing company charges £200 to install the fence.
What is the total cost of the fence for Deb's garden?
The total cost of fencing the garden will be 3x+200 where x is the perimeter of garden that is variable according to the length and breadth of the garden.
What is length?Distance is measured in length. Length has the dimension of distance in the International System of Quantities. The majority of measurement systems choose a base unit for length from which all other units are derived. The metre serves as the foundational unit of length in the International System of Units.
What is Perimeter?A closed path that encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.
Here,
Let x be the perimeter to be fenced.
the cost is 3 rupees per meter.
so the equation will be= 3x+200
The total cost of fencing the garden will be 3x+200, where x is the garden's perimeter and is dependent on the garden's length and width.
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Solve for x
-3/4(x+2)=6
X=?
Answer:
-10
Step-by-step explanation:
Find m angle Y
(6x – 23)
(4х + 9)
m angle Y = ?
a
54
b
34
C
73
d
16
Answer:
m<y= 34
Step-by-step explanation...
6x-23=4x+9
2x=32
x=16
m<y+m<z=180
m<y=73+73=180
m<y=34
An isosceles triangle is a two-dimensional figure which has two equal sides and the two angles opposite to the equal sides are equal.
The sum of the three angles is equal to 180 degrees.
The value of angle m∠Y is 34°.
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Isosceles triangle:
Two sides are equal.
The angles opposite to the equal sides are also equal.
So,
From the figure we have,
6x - 23 = 4x + 9
Add 23 on both sides.
6x - 23 + 23 = 4x + 9 + 23
6x = 4x + 32
Subtract 4x on both sides.
6x - 4x = 4x + 32 - 4x
2x = 32
Divide both sides by 2.
x = 32/2
x = 16
The sum of the three angles of the Isosceles triangle given must be 180 degrees.
6x - 23 + 4x + 9 + m∠Y = 180
Put x = 16
6x16 - 23 + 4x16 + 9 + m∠Y = 180
96 - 23 + 64 + 9 + m∠Y = 180
146 + m∠Y = 180
Subtract 146 on both sides.
m∠Y = 180 - 146
m∠Y = 34
Thus,
The value of angle m∠Y is 34°.
Option B is the correct answer.
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write an equation to represnt the distance d, in kilometers, of each bird after thours
The equation is given as follows:
d = 50t.
What is the relation between velocity, distance and time?Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:
v = d/t.
The bird can fly 400 kilometers in 8 hours, hence the velocity is given as follows:
v = 400/8
v = 50 km/h.
Then the equation is given as follows:
d = vt
d = 50t.
Missing InformationThe complete problem is:
"An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Write an equation to represent the distance d, in kilometers, of each bird after t hours".
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It’s algebra it says find each function value here is a picture of the work sheet
1.
8 > 1 so: a(x) = -4x + 7
a(8) = - 4(8) + 7 = - 32 + 7 = - 25
2.
-6 ≤ 1 ≤ 1 so: a(x) = 2x - x²
a(1) = 2(1) - (1)² = 2 - 1 = 1
3.
-7 ≤ -6 so: a(x) = |x - 8|
a(-7) = |-7 - 8| = |-15| = 15
4.
-6 ≤ -3 ≤ 1 so: a(x) = 2x - x²
a(-3) = 2(-3) - (-3)² = -6 - 9 = - 15
5.
-6 ≤ -¹/₂ ≤ 1 so: a(x) = 2x - x²
a(-¹/₂) = 2(-¹/₂) - (-¹/₂)² = - 1 - ¹/₄ = - 1¹/₄
6.
⁹/₄ > 1 so: a(x) = -4x + 7
a(⁹/₄) = - 4(⁹/₄) + 7 = - 9 + 7 = - 2
using the graph above determine the constant of proportionality
A 15 meter trunk broke and fell against a wall. The base of the tree is 10 meters from the wall. Found the distance from the ground to the top of the tree. Round your answer to the nearest tenth. Identify which trig function you will be using to solve the problem.
Answer:
11.2 m
Step-by-step explanation:
The distance from the ground to the top of the tree = h
Using Pythagoras rule :
Adjacent² = hypotenus² - opposite²
h² = 15² - 10²
h² = 225 - 100
h² = 125
h = Sqrt(125)
h = 11.18
h = 11.2 m to the nearest tenth
Which of the following inequalities is graphed on the coordinate plane? A.y≤-2x=+1
Answer:
y≤-2x=+1
Step-by-step explanation:
this will definitely on coordinate plan.
Kindly completed your question as it seem unfinished
Find the polynomial function k(x) of the lowest degree in standard form if it has roots:
x=1,3,2i
The polynomial function of the lowest degree with the given roots is defined as follows:
k(x) = x^4 - 4x³ + 4x² - 16x + 12.
How to define the polynomial function?The roots of the polynomial function for this problem are given as follows:
x = 1.x = 3.x = 2i.x = -2i. -> if a complex number is a root, then it's conjugate also is a root.Hence the linear factors of the polynomial are given as follows:
x - 1.x - 3.x - 2i.x + 2i.According to the Factor Theorem, the function is defined as a product of it's linear factors, hence:
k(x) = (x - 1)(x - 3)(x - 2i)(x + 2i)
k(x) = (x² - 4x + 3)(x² + 4)
k(x) = x^4 - 4x³ + 4x² - 16x + 12.
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Seventh grade L.11 Percent of change: word problems 54S The cheerleading squad at Newton High School had 20 members with the old coach. Now, with the new coach, there are 19 members on the squad. What is the percent of decrease in the squad's size
The percent of decrease in the squad's size is approximately 5.26%.
To calculate the percent of decrease, we need to find the difference between the initial and final values, divide that difference by the initial value, and then multiply by 100. In this case, the initial size of the squad was 20 members, and the final size is 19 members.
Step 1:
Percent of decrease = [(Initial value - Final value) / Initial value] * 100
= [(20 - 19) / 20] * 100
= [1 / 20] * 100
= 5%
Step 2:
The squad's size decreased by 1 member, which represents a 5% decrease in relation to the initial size of 20 members. This means that the new coach led to a reduction of approximately 5.26% in the squad's size.
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After a composition of transformations, the line segment from A(-2, 8) to B(6, 2) maps to the line segment C( -2, -12) to D(6, -6). Which of the following describes the composition that is applied to ⎯⎯⎯⎯⎯⎯⎯⎯AB¯ to obtain ⎯⎯⎯⎯⎯⎯⎯⎯⎯CD¯?
Given,
The coordinates of the point (-2, 8), (6,2), (-2, -12) and (6, -6).
Required
The composition required that is applied to to obtain .
The graph of the points are,
From the graph it is clear seen that
Reflect across the x axis and translate 4 units down.
Hence, Reflect across the x axis and translate 4 units down.
is (4+x)+3 equivalent to x(4+3)
Answer:
No
Step-by-step explanation: