Answer:
P(6) is 1/12, P(Shaded) is 8/12, P(Odd or Unshaded) is 10/12, and P(Even and Shaded) is 11/12
Step-by-step explanation:
What number must you add to the polynomial below to complete the square?
x2 + 15x
Answer:
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
Step-by-step explanation:
Perfect square binomial:
A perfect square binomial is given by:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
In this question:
We have that:
[tex]a^2 + 2ab + b^2 = x^2 + 15x + ?[/tex]
Since [tex]a = x[/tex], we have that:
[tex]2ab = 15x[/tex]
[tex]2b = 15[/tex]
[tex]b = \frac{15}{2}[/tex]
Completing the square:
The term that completes the square is [tex]b^2[/tex]. So
[tex]b^2 = (\frac{15}{2})^2 = \frac{225}{4}[/tex]
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
A pound of chocolate costs 8 dollars. Kala buys p pounds. Write an equation to represent the total cost c that Kala pays.
Answer:
8p=c
Step-by-step explanation:
For questions like this, it isn't asking for a numerical answer or anything complicated. It's mainly just using common sense and figuring out what you would do if you had actual numbers instead of variables. You would multiply the amount of pounds (p) by the cost per pound of $8, and that would be your answer (c). I hope I could help.
What is the sum? Complete the equation.
8+(-18) =
Simplify to a single power of 2
Answer:
2^7
Explanation:
You can add up the square of two and the square of five. This is the easiest way.
PLEASE HELP
On the graph below, Point A is located at the intersection of angle θ and the unit circle.
What are the exact coordinates of point A?
Use the on-screen keyboard to type the answer in the box below.
https://imgur.com/a/UwbnsCV
Answer:
1/2,
Step-by-step explanation: Please find the attached image of unit circle.
We have been given that the measure of angle t is 60 degrees. We are asked to find the x-coordinate of the point where the terminal side intersects the unit circle.
We know that x-coordinate on unit circle represents cosine and y-coordinate represents sine of a given angle.
We can see from our attachment that x-coordinate of the point at angle 60 degrees is , therefore, x-coordinate of the angle of 60 degrees, where the terminal side intersects the unit circle is .
You are a school photographer taking individual and class pictures for 2 classes of 21 students each. On average, each individual picture takes 3 minutes and a class picture takes 10 minutes. About how long should it take you to take all of the pictures? A 1 hour 3 minutes B 1 hour 13 minutes C 2 hours 6 minutes D 2 hours 16 minutes E 2 hours 26 minutes
Answer:
C 2 hours
Step-by-step explanation:
hope it's helpful
thank you
for a March past competition on sports day the house captain of one house cut 25 pieces of ribbon each 1/2 metre in length.what was the length of ribbon cut altogether
Answer:
not lenguague spanish
Step-by-step explanation:
that bad
Pls pls pls pls help pls
Answer:
only 5
Step-by-step explanation:
Directions: Use the information given to write the equation of the circle in standard form.
16. center:(-10,-4), point on circle: (4, -2) 17. center: (-9, -3), point on circle: (-11, 2) 18. center: (5.-7), point on circle: (-3,-1)
19. center: (8,2), point on circle: (14,-1) WO
Answer:
subject?
Step-by-step explanation:
Heather had 20 stickers. She bought 27 stickers from a store in the mall and got 6 stickers for her birthday. Then Heather gave 4 of the stickers to her sister and used 11 to decorate a greeting card. How many stickers does Heather have left?
Answer:
38 stickers
Step-by-step explanation:
20+27=47
47+6=53
53-4=49
49-11=38
20+27+6-(4+11)=38 stickers
A beach volleyball court is 9 meters wide and 17 meters long. The rope used for the boundary line costs $4.00 per meter. How much would it cost to buy a new boundary line for the court?
Please help me. Image below.
Answer:
10 cubes
Step-by-step explanation:
2.5 × 1 × 2 = 5 cm³
5 ÷ 0.5
10 cubes
Answer:
10 cubes
Step-by-step explanation:
1 × 2 × 2.5 = 5cm^3
5 ×× .5 = 10
so 10 cubes would fit
Find the amount of wood trim needed to frame a circular window with a diameter of 1.75 ft. Use 3.14 for n.
Answer:
2.40 ft I believe
Step-by-step explanation:
divide diameter by two
put 3.14 time diameter divided by two and square it
elementary math! please help Mark brainlist
Answer: 1 minute and 43 seconds faster
Step-by-step explanation:
Answer:
1 minute and 43 seconds faster
Step-by-step explanation:
A theater sold 465 tickets for the morning show and 576 tickets for the evening show. The theater makes $16 for each ticket sold. How much money did the theater make selling tickets for the morning show? ANSWE QUICKKK
Figure abc is a triangle with a base of 22 inches if abc is dilated by a scale factor of 0.5 what will be the base of the figure
Answer:
11
Step-by-step explanation:
Scale factor 0.5 means 1/2
so multiply base length with scale factor
22×0.5 = 11
Select Parameter or Statistic to classify each statement.
1.) 85% of those surveyed were in favor of bike lanes.
Parameter or Statistic
2.) Each member of the soccer team has an average of 2 jerseys.
Parameter or Statistic
3.) Of the 100 swim teams surveyed across America, 23 practice 10 hours a week.
Parameter or Statistic
4.) The golf team's average score is 79.
Parameter or Statistic
Answer:
1) Statistic
2) Parameter
3) Statistic
4) Parameter.
Step-by-step explanation:
Parameter: is a number that describes the whole population.
Statistic: is a number that describes a sample.
The difference is:
50% of the cats are nice (parameter, because talks about all the cats)
out of 100 cats surveyed, 39 are nice (statistic, because talks about a sample of 100 cats)
Then:
1) 85% of those surveyed were in favor of bike lanes.
This only refers to the surveyed people, so this only refers to a sample (and not the population that this sample represents) then this is a statistic statement.
2) Each member of the soccer team has an average of 2 jerseys.
In this case, we are talking about the whole population (the soccer team) then this is a parameter
3) Of the 100 swim teams surveyed across America, 23 practice 10 hours a week.
Here the information is about the sample (only 100 swim teams). So here the correct option is statistic.
4) The golf team's average score is 79
Here the information is about the average score for the entire golf team, so this information is about all the population in the golf team, then in this case the correct option is parameter.
Answer:
Statistic
Parameter
Statistic
Parameter
Step-by-step explanation:
i took the test :)
PLEASE HELP!Write the standard form of equation with p=sqrt3, 0=150°
Answer:
I heard it's not b
Step-by-step explanation:
was A the correct answer?
Find the volume of cylinder
Answer:
1539.4 rounded
Step-by-step explanation:
Have a great day
50 POINTS!!!!
Analyze the graph of the cube root function shown
on the right to determine the transformations of the
parent function. Then, determine the values of a, h,
and k in the general equation.
y = a3x - h + k
h =
k=
Answer:
Let's solve for h.
y=a3x−h+k
Step 1: Flip the equation.
a3x−h+k=y
Step 2: Add -a^3x to both sides.
a3x−h+k+−a3x=y+−a3x
−h+k=−a3x+y
Step 3: Add -k to both sides.
−h+k+−k=−a3x+y+−k
−h=−a3x−k+y
Step 4: Divide both sides by -1.
−h
−1
=
−a3x−k+y
−1
h=a3x+k−y
Answer:
h=a3x+k−y
Let's solve for k.
y=a3x−h+k
Step 1: Flip the equation.
a3x−h+k=y
Step 2: Add -a^3x to both sides.
a3x−h+k+−a3x=y+−a3x
−h+k=−a3x+y
Step 3: Add h to both sides.
−h+k+h=−a3x+y+h
k=−a^3x+h+y
Answer:
k=−a^3x+h+y
Step-by-step explanation:
The required values are h = 1 and k = 4 the given cube root function.
What is the cube root function?The cube root function is a function that takes the cube root of its input. The formula for the cube root function is:
f(x) = ∛x
The graph is given in the question, as shown.
To find the symmetric center of the cube root function, we need to find the point on the function that is equidistant from the two opposite sides of the function graph.
Since the given cube root function is an odd function, it is symmetric about the point (1, 4).
So, the symmetric center of the cube root function is the point (1, 4).
Thus, h = 1 and k = 4
Therefore, the required values are h = 1 and k = 4 the given cube root function.
Learn more about the cube root function here:
https://brainly.com/question/29082141
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The complete question would be as:
Cooper invested $3,100 in an account paying an interest rate of 2%
compounded quarterly. Robert invested $3,100 in an account paying an
interest rate of 3 % compounded continuously.After 12 years, how much
more money would Robert have in his account than Cooper, to the nearest
dollar?
Answer:
Robert will have $481 more in his account than Cooper.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Continuous compounding:
Similar to compound interest:
[tex]A(t) = P(1 + r)^t[/tex]
Cooper:
Cooper invested $3,100 in an account paying an interest rate of 2% compounded quarterly. This means that [tex]P = 3100, r = 0.02, n = 4[/tex]
After 12 years is A(12). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(12) = 3100(1 + \frac{0.02}{4})^{4*12}[/tex]
[tex]A(12) = 3938.5[/tex]
Cooper will have $3938.5 in his account.
Robert:
Robert invested $3,100 in an account paying an interest rate of 3 % compounded continuously. So [tex]P = 3100, r = 0.03[/tex].
After 12 years.
[tex]A(t) = P(1 + r)^t[/tex]
[tex]A(12) = 3100(1 + 0.03)^{12}[/tex]
[tex]A(12) = 4419.9[/tex]
Robert will have $4419.9 in his account.
How much more money would Robert have in his account than Cooper, to the nearest dollar?
4419.9 - 3938.5 = 481.4
To the nearest dollar, Robert will have $481 more in his account than Cooper.
The hypotenuse of a right triangle will be a diameter of the triangle. True or false?
Which statement is true?
Group of answer choices
An equilateral triangle is never an acute triangle.
An isosceles triangle is sometimes a scalene triangle.
An acute triangle is always an equilateral triangle.
A equilateral triangle is always an isosceles triangle.
Answer:
An equilateral is always an isosceles triangle.
Step-by-step explanation:
Customary American Units of Weight
1 pound = 16 ounces
1 ton = 2,000 pounds or 32,000 ounces
Convert:
130 ounces = pounds ounces
Answer:
1
Step-by-step explanation:
expand : log3(x^3/81y^2)
Answer:
Use rules of logarithms to expand.
2
log
3
(
x
)
−
4
−
4
log
3
(
y
)
Step-by-step explanation:
The County Fair features rides, exhibitions, and games of chance. Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z. If the pointer lands on any letter in the phrase “COUNTY FAIR,” the contestant wins a prize.
Part B:
Of the first 52 contestants, exactly 12 contestants win the game. How does the actual number of winners compare to the expected number of winners? What needs to happen for the experimental probability to approach the theoretical probability? Explain.
Answer:
woow
Step-by-step explanation:
Answer:
Step-by-step explanation:
cheese
In the map below, Side P Q is parallel to Side S T.
Triangle P Q R. Side P Q is 48 kilometers and side P R is 36 kilometers. Triangle S R T. Side R T is 81 kilometers.
What is the distance between S and T? If necessary, round to the nearest tenth.
21.3 km
60.8 km
108 km
117 km
answer C.
Answer:
C.
Step-by-step explanation:
A roulette wheel has 383838 slots, of which 181818 are red, 181818 are black, and 222 are green. In each round of the game, a ball is tossed in the spinning wheel and lands in a random slot. Suppose we watch 777 rounds of this game, and let RRR represent the number of rounds where the ball lands in a red slot.
Answer:
Of the 777 rounds of the game in about 368 the ball will land in a red slot.
Step-by-step explanation:
Since a roulette wheel has 383838 slots, of which 181818 are red, 181818 are black, and 222 are green, and in each round of the game, a ball is tossed in the spinning wheel and lands in a random slot, supposing we watch 777 rounds of this game, to determine the approximate number of rounds where the ball lands in a red slot, the following calculation must be performed:
383838 = 100
181818 = X
181818 x 100/383838 = X
18,181,800 / 383838 = X
47.3684 = X
100 = 777
47.3684 = X
47.3684 x 777/100 = X
36,805.24 / 100 = X
368.05 = X
Therefore, of the 777 rounds of the game in about 368 the ball will land in a red slot.
what is the volume of the rectangular prism? will give brainliest
Answer:
30
Step-by-step explanation:
Well if it is 2 blocks wide, you just count the cubes, but if you cant see the blocks behind, then just and the block you see with 2.
my guess
Brainlest? please?
The following list shows three factors that can either increase or decrease the probability of a Type II error. The sample size is increased. The significance level is increased. The standard error is increased. Which factors alone will cause the probability of a Type II error to increase?
Answer:
Standard Error is increased.
Step-by-step explanation:
Type 2 error is failure to reject a false null hypothesis. This is a 'false negative' result of hypothesis testing, represented by beta 'β'.
Power of test is 1 - β, which shows probability of accurately stating a null hypothesis false, when it is actually false.
Increased sample size increases the power of test accuracy, hence reduces type 2 error. Increased level of significance implies higher probability of rejecting a true null hypothesis, ie type 1 (false positive) error. So, it decreases type 2 error.
Standard Error increase implies lower level of t statistic , ie = (x - u) / (s / √ n) Lower the t value, higher is the probability of not rejecting null hypothesis, which implies higher chance of type 2 error.
Type II error is 1 - power of the test. The factor that can alone make the type II error to increase is: Option C: The standard error is increased.
Firstly the whole story starts from hypotheses. The null hypothesis is tried to reject and we try to accept the alternate hypothesis.
The type 1 error occurs if we get false positive conclusion (false positive means we accuse null hypothesis being wrong when it was actually correct).The type 2 error occurs if we get false negative conclusion (false negative means we accept null hypothesis when it was actually false). It is 1 - statistical power of the test. Thus, increasing power of the test decreases this error.How are the type I error and type II error are related to level of significance?The probability of committing the type I error is called the significance level of the hypothesis test.
And the more we increase the level of significance, the less area the test statistic gets to fall in, and its chances of falling in region outside level of significance increases, which makes us to reject the null hypothesis more probable, thus, decreasing its chance of tagging as negative, not mattering if true or false.
Thus, increasing level of significance increases the type I error but decreases the type II error.
If it is increases, the likely area for test statistic falling increases, thus, increasing probability of tagging the null hypothesis tagging to be true, so increasing result of test being declared negative, thus, increasing type II error.
How is type II error and sample size related?Increasing sample size increases statistical power, thus, decreasing the type II error.
Thus, for the given case, as the sampling size is increased, the type II error will decrease, as the significance level is increased, the type II error will decrease, and as the standard error is increased, the type II error will increase with it.
Thus, out of the given factors, only the last factor (increasing the standard error) makes the type II error to get increased.
Thus, the factor that can alone make the type II error to increase is: Option C: The standard error is increased.
Learn more about type II error here:
https://brainly.com/question/26067196