What is the measure (in radians) of central angle 0 in the circle below? Enter an exact expression.
Answers
Answer:
[tex] \frac{\pi^{c} }{3} [/tex]
Step-by-step explanation:
Measure of the length of an arc of a circle is given as:
[tex]l = \frac{ \theta}{2\pi} \times 2\pi r \\ \\ \pi = \frac{ \theta}{2\pi} \times 2\pi \times 3 \\ \\ 3 \theta = \pi^{c} \\ \\ \theta = \frac{\pi^{c} }{3} \\ [/tex]
Related Questions
Jose is giving out prize bags at his party. Each bag must have 3 candy pieces and 4 toys. If Joe bough 15 candy pieces, how many toys does he need to buy? ANSWER ASAP PLEASE
Answers
Answer:
question-1 A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Solution
The number of chocolate bars is equal to
18 × 25 = 450
Step-by-step explanation:
this is only an example
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aapko yeh kesa lga ?
An experiment on the teaching of reading compares two methods, A and B. The response variable is the Degree of Reading Power (DRP) score. The experimenter uses Method A in a class of 100 students and Method B in a comparable class of 100 students. Students are assigned to the two classes at random. Suppose that in the population of all children of this age the DRP score has the N(75, 30) distribution if Method A is used and the N(74, 40) distribution if Method B is used. Let us call the mean DRP score for 100 students in the A group. Let us call the mean DRP score for 100 students in the B group ý.
Required:
What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?
Answers
Answer:
0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, the central limit theorem, and subtraction of normal variables:
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal variables:
When we subtract two normal variables, the mean is the subtraction of the mean of each variable, while the standard deviation is the square root of the sum of each variance.
Method A:
One student: N(75,30), so [tex]\mu = 75, \sigma = 30[/tex]
Samples of 100 students: [tex]n = 100, s = \frac{30}{\sqrt{100}} = 0.3[/tex]
Method B:
One student: N(74,40), so [tex]\mu = 74, \sigma = 40[/tex]
Samples of 100 students: [tex]n = 100, s = \frac{40}{\sqrt{100}} = 0.4[/tex]
What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?
This is the probability that B - A >= 5. So
[tex]\mu_{B-A} = \mu_B - \mu_A = 74 - 75 = -1[/tex]
[tex]s_{B-A} = \sqrt{s_A^{2}+S_B^{2}} = \sqrt{(0.3)^2+(0.4)^2} = 0.5[/tex]
We have to find 1 subtracted by the pvalue of Z when X = 5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{5 - (-1)}{0.5}[/tex]
[tex]Z = 12[/tex]
[tex]Z = 12[/tex] has a pvalue of 1
1 - 1 = 0, so
0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group
(4a^5-a)+(a^5+6a-1)
Add
Answers
Answer:
Step-by-step explanation:
4a^5 - a + a^5 + 6a - 1
5a^5 + 5a - 1
Plz help!!!!
With this question
Answers
Answer:
GH = 15
Step-by-step explanation:
14. BC = 19
GH = 9x - 3
FE = 5x + 1
Given that GH is the midsegment of the trapezoid, therefore:
GH = (BC + FE)/2
Plug in the values
9x - 3 = (19 + 5x + 1)/2
9x - 3 = (20 + 5x)/2
Multiply both sides by 2
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 2
✔️GH = 9x - 3
Plug in the value of x
GH = 9(2) - 3 = 18 - 3
GH = 15
Which statement is NOT true of the equation y = 0.5x?
a. The value of y is one-half times the value of x.
b. The equation represents an additive relationship.
c. The value of y is 4 when the value of x is 8.
d. The equation represents a multiplicative relationship.
Answers
Answer:
it would be C do to the fact that 0.5 x 8=4
Which quadratic rule represents the data in the table?
y= -2x2 + 5
y= -x2 + 5
y = x2 - 5
y = x2 + 5
Answers
Answer:
x^2 - 5
Step-by-step explanation:
x = -1, y = 1 - 5 = -4.
x = 0, y = 0-5 = -5.
x = 1, y = 1 - 5 = -4.
I need help with this if you get it right I will mark you
Answers
70+50+x+4x=180
120+5x=180
5x=60
X=12
Is this Imaginary x2 - x + 1 = 0
Answers
Answer:x= -1/2
Step-by-step explanation:
What is the total area? Use 3 for Pi.
answer fast pls! xx
Answers
Answer:
146.3m²
Step-by-step explanation:
area of quarter circle=1/4π×8²
=50.3m²
area of the square=s²
8×8=64m²
area of the triangle=1/2bh
1/2×8×8=32m²
total area=50.3+64+32=146.3m²
What is the value of X?
100°
60°
X
A.60
B.20
C.100
D.40
Answers
20
Step-by-step explanation:
X+100+60=180(due to stright angle) =X+160=180 =X=180-160 =X=20Omg Plzzzzz helpppp!!!!!
Answers
Answer:
D
Step-by-step explanation:
[tex]-5+2(7b+6)\geq 10b+7(1+11b)\\-5+14b+12\geq 10b+7+77b\\70b\leq 0\\b\leq 0[/tex]
Guys can u help me please
Answers
Answer:
the first one is 5 times 5 times 5
the second is 7 times 7
the third is 2 times 2 times 2
Step-by-step explanation:
5x5x57x72x2x2A die is rolled two times.
What is the probability of getting a 2 on the first roll and a 5 on the second roll?
Answers
Answer:
1/36
Step-by-step explanation:
total are 36 and it's 1
Pls help me I need it now pls
Answers
wich of the statement below is true for the foolowing set of numbers 24,20,36,51,60,28?
Answers
20,24,28,36,51,60 us the correct statement
Factor this expression
15y - 30
Answers
Answer:
2
Step-by-step explanation:
15y-30. Factor by finding the larger common factor.
15*y-15*2
15(y-2)
You can't solve this unless it is written as an equation:
15(y-2)=0
%2815%2F15%29%28y-2%29=0%2F15
y-2=0
y-2%2B2=0%2B2
y=2
Happy Calculating!!!
F(x) = 2x^3 + 5x^2 -6x-7 g(x) = 2x-3 find (f - g) (x)
Answers
Given:
The function are:
[tex]f(x)=2x^3+5x^2-6x-7[/tex]
[tex]g(x)=2x-3[/tex]
To find:
The function (f-g)(x).
Solution:
We have,
[tex]f(x)=2x^3+5x^2-6x-7[/tex]
[tex]g(x)=2x-3[/tex]
We need find (f-g)(x).
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=2x^3+5x^2-6x-7-(2x-3)[/tex]
[tex](f-g)(x)=2x^3+5x^2-6x-7-2x+3[/tex]
On combining like terms, we get
[tex](f-g)(x)=2x^3+5x^2+(-6x-2x)+(-7+3)[/tex]
[tex](f-g)(x)=2x^3+5x^2-8x-4[/tex]
Therefore, the correct option is B.
please help what is this help
Answers
I think this
which properties justify the steps taken to solve the system 4x + 3y =25 2x + 5y=19
Answers
Answer: we multiply the second equation by -2. This property is the multiplication property of equality (1).
Then, we add the two equations generated. (2) addition property of inequality.
Next, we divide both sides of the equation by 13. That is division property of inequality.
Moreover, we substitute the value obtained for y in the first equation. This is substitution property of equality.
Then, we simplify
Next, we add +3 to both sides of the equation in order to have an equation with only one side having a variable. That is addition property of equality.
Lastly, we divide both sides of the equation by 4. This is division property of equality.
Step-by-step explanation:
what is the slope of the line passing through the points (2,5) and (-1,-4)? show all work.
Answers
Answer:
3
Step-by-step explanation:
[tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{9}{3} = 3[/tex]
How many minutes in 255 seconds A)2 11/12 B)3 5/12 C)3 3/4 D) 4 1/4
Answers
Answer:
4 1/4
Step-by-step explanation:
divide 255 by 60
i need help solving h=-5-(-7)
Answers
Answer:2
just make them into positive if there’s 2 negatives 7-5=2
h=-5(-7)
We move all terms to the left:
h-(-5(-7))=0
We add all the numbers together, and all the variables
h-35=0
We move all terms containing h to the left, all other terms to the right
h=35
God bless you and have a wonderful day!
HELP ASAPPP PLSSS WILL GIVE BRAINLIEST!
Answers
Answer:
Example 1 35 example 2 is 320 and example 3 is 56 example 4 is 160
Step-by-step explanation:
Answer:
again sorry I do not know but I think it d because it not the same as the rest.
The positive integers P, Q, R, S and T increase in
order of size such that the value of each
successive integer is more than the
preceding integer and the value of T is 6. The
value of S is :
Answers
Which ordered pairs show the location of the Empire State Building? Check all that apply. (1 and one-half, 1) (1, 1 and one-half) (–1.5, –1.0) (1.5, 1.0) (1.0, 1.0) nevermind
Answers
I know you said never mind but the answer is a and d if it's wrong im sorry but i got it right on mine
Answer: a & d
Step-by-step explanation:
what is 1 + 3s > 7 sadhfashdfajdfadfa
Answers
Answer:
4??????????????
Step-by-step explanation:
&÷&$^#£#*$,$
I need help with this math problem
Answers
starts with 6 cards gets 2 cards every month how many will you have after 24 months
Answers
54 cards
Answer:
the answer is 54 cards . . .....
4-(-5)
Integer Rules
Answers
Step-by-step explanation:
4-(-5)
= 4+5
= 9
............
-2(-5y + 10) simplify the expression
Answers
Answer:
10y - 20
Step-by-step explanation: