Answer:
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
Step-by-step explanation:
Given that:
The distance between city A and city B = 350 miles; &
The radius of the earth = 4000 miles
We all know that:
l = rθ
[tex]\theta = \dfrac{l}{r}[/tex]
[tex]\theta = \dfrac{350}{4000}[/tex]
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
From l = rθ; recall that l = a
so;
a = rθ
350 = 4000×θ
θ = 350/4000
θ = 35/400 degree
In radians;
θ = (35/400) × (π/180)
θ = (7π /800× 180) radians
What is the value of X?
100°
60°
X
A.60
B.20
C.100
D.40
20
Step-by-step explanation:
X+100+60=180(due to stright angle) =X+160=180 =X=180-160 =X=20Please help with this question
Answer:
One book would cost $13.
Step-by-step explanation:
To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.
I hope this helps you.
A bottle contains 24.5 oz of water. A leak in the bottle causes it to lose 0.3 oz of water every minute. How many minutes does it take for the bottle to lose 33% of the water.
Answer:
27 minutes
Step-by-step explanation:
33% of 24.5 is 8.1 ounces
.3 oz / 1 min = 8.1 oz / 'x' min
cross-multiply:
.3x = 8.1
x = 8.1 / .3
x = 27
please help what is this help
-2(-5y + 10) simplify the expression
Answer:
10y - 20
Step-by-step explanation:
What is the total area? Use 3 for Pi.
answer fast pls! xx
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
Help due soon plz helpp
Answer: 7) -12;
8) 0 или 1.
Step-by-step explanation:
7.
x ≤ - 12
x ∈ ( - ∞; - 12]
Наибольшее целое значение, при котором верно неравенство равно -12.
8.
-9,6*8 > - 9,627
Варианты возможных чисел: -9,618 и -9,608.
Значит вместо звездочки можно подставить цифры 0 или 1.
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?
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
HELP ASAPPP PLSSS WILL GIVE BRAINLIEST!
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.
I need help to find the range
Answer:
algebraic terms = 4- -4 = 8
Step-by-step explanation:
-4 is our lowest value as 5 is not equal or counted
4 is our highest value and is counted.
25 divided 5 + 7 - [ 4 x 3 ] =
How many minutes in 255 seconds A)2 11/12 B)3 5/12 C)3 3/4 D) 4 1/4
Answer:
4 1/4
Step-by-step explanation:
divide 255 by 60
A bag of apples weighs 7kg, correct to
the nearest kilogram.
What is the least possible weight of the
bag of apples?
9x + 8y = 10
y = -4x + 7
Answer:
X=2
Step-by-step explanation:
9x+8(-4x+7)=10
9x+(-32x)+56=10
-23x=10-56
-23x=-46
X=-46/-23
so X=2
what is the slope of the line passing through the points (2,5) and (-1,-4)? show all work.
Answer:
3
Step-by-step explanation:
[tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{9}{3} = 3[/tex]
I need help with this if you get it right I will mark you
A die is rolled two times.
What is the probability of getting a 2 on the first roll and a 5 on the second roll?
Answer:
1/36
Step-by-step explanation:
total are 36 and it's 1
my REAL FINAL LAST 100 points, pls do me well this time... show work pls :(
Im not sure how to explain how to do a graph, but I hope this helps at least a bit!
~Direct Variation When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. In simpler terms, that means if A is always twice as much as B, then they directly vary. If a gallon of milk costs $3, and I buy 1 gallon, the total cost is $3.~
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
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:
Omg Plzzzzz helpppp!!!!!
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]
(4a^5-a)+(a^5+6a-1)
Add
Answer:
Step-by-step explanation:
4a^5 - a + a^5 + 6a - 1
5a^5 + 5a - 1
wich of the statement below is true for the foolowing set of numbers 24,20,36,51,60,28?
20,24,28,36,51,60 us the correct statement
Consider the system of equations shown in the box.
y = 3x + 1
y = 2x - 4
What is the x-coordinate in the solution of the system?
Answer:
x = -5
Step-by-step explanation:
3x + 1 = 2x - 4
x + 1 = -4
x = -5
The x-coordinate in the solution of the system is -5.
What are linear equations?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Given the equations y = 3x + 1
y = 2x - 4
comparing both equations for equal values of y,
3x + 1 = 2x - 4
3x - 2x = -4 - 1
x = -5
substitute value of x in equation,
and y = 3x + 1
y = 3(-5) + 1
y = -14
Hence the value of x is -5.
Learn more about linear equations;
https://brainly.com/question/29739212
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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 :
i need help solving h=-5-(-7)
Answer:2
just make them into positive if there’s 2 negatives 7-5=2
what is 1 + 3s > 7 sadhfashdfajdfadfa
Answer:
4??????????????
Step-by-step explanation:
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Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each
ticket costs 15 dollars.
Select the equation that matches this situation.
Ow= 15 + 5
O 5 = 15w
O w = 5(15)
15 = 5w
Answer:W=5x15
HTH
Step-by-step explanation:
4-(-5)
Integer Rules
Step-by-step explanation:
4-(-5)
= 4+5
= 9
............
A poker deck consists of fifty-two cards, representing thirteen denominations (2 through ace) and four suits (diamonds, hearts, clubs, and spades). A five-card hand is called a flush if all five cards are in the same suit but not all five denominations are consecutive. Pictured below is a flush in hearts. Let N be the set of five cards in hearts that are not flushes. How many outcomes are in N
Answer:
10
Step-by-step explanation:
Let N represent the set of 5 hearts cards that are not flushes
From the image attached below; there are thirteen (13) denominations on deck
i.e. (A,K,Q,J,10,9,8,7,6,5,4,3,2) in the deck
Let us take an integral look at the set of cards that contains consecutive dominations in hearts. Relating them from the lowest denomination to the highest denomination. Also, for hand to be in a straight all cards, they must be in consecutive order.
So, starting from the lowest straight A-2-3-4-5 to the highest straight, we would have a royal flush 10, J, Q, K, A
∴
[tex]N = \left \{ {{(A,2,3,4,5,),(2,3,4,5,6),(3,4,5,6,7),(4,5,6,7,8)(5,6,7,8,9)} \atop {(6,7,8,9,10),(7,8,9,10,J),(8,9,10,J,K),(9,10,J,K,L),(10,J,Q,K,A)}} \right. \}[/tex]
Hence, the total no of outcome for N = 10
Which quadratic rule represents the data in the table?
y= -2x2 + 5
y= -x2 + 5
y = x2 - 5
y = x2 + 5
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.