Answer:
527.52 cm²
Step-by-step explanation:
Area of the shaded region = area of the outer circle - area of the inner circle
Area of circle is given as πr²
Radius of inner circle = 11 cm
Area of outer circle = 17 cm
π = 3.14
Thus:
Area of shaded region = 3.14*17² - 3.14*11²
= 907.46 - 379.94
= 527.52 cm²
Convert x + 3y = 9 into slope-intercept form
Answer:
3y=-x+9
y=1/3x+3
Step-by-step explanation:
Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 50 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select b. With = 51, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select c. With = 51.8, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select
Answer:
Part a:
The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.
Part b:
The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.
Part c:
The calculate value of Z = 2.1213 lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.
Step-by-step explanation:
Data as given
H 0: μ ≤ 50 against the claim H a: μ> 50 one tailed test
Z (0.05)= ± 1.645
Sample size n= 50
Using the central limit theorem
Population Standard Deviation= σ=s=6
X= 52.5 , 51 and 51.8
Part a:
Z= x-μ/ s/ √n
Z= 52.5- 50 / 6/ √50
Z= 2.5/0.84853
z= 2.946
The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.
Part b:
Z= x-μ/ s/ √n
Z= 51- 50 / 6/ √50
Z= 1/0.84853
z= 1.17851
The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.
Part c:
Z= x-μ/ s/ √n
Z= 51.8- 50 / 6/ √50
Z= 1.8/0.84853
z= 2.1213
The calculate value of Z = 2.1213 lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.
Leo has 2 5/8 ounces of sunblock.
He uses one third of an ounce at
the beach. How much does he
have left?
Answer:
2 7/24
Step-by-step explanation:
Answer:
Step-by-step explanation: 6
evaluate 4g-12 when g= 5
The value of 34 + 5 ⋅ 5 = ___. Numerical Answers Expected! Answer for Blank 1:
Answer:
39.5
Step-by-step explanation:
please help will give brainliest if can :)
Answer:
56 degrees
Step-by-step explanation:
Hope this helps
Answer:
124 degrees
Step-by-step explanation: I added them both together
What is the slope of the line with the equation -5 - x = y?
O 5
O 1
O -1
O-5
Answer:
-1
Step-by-step explanation:
What ever number is in front of x that is the answer. If there is only a x then it means 1.
3x + y = 19
2x - y = 6
Answer:
Step-by-step explanation:
(x,y)=(5,4)
A park ranger wants to know the average time it takes hikers to hike a trail. There is an average of 1,245 hikers on the trail in a year. How can he find a reasonable estimate for the amount of time it takes to hike the trail? A time any hiker on the trail and use that time
B time himself on the trail and use that time
C time 100 hikers and average their times
D time 3 hikers and average their times
Answer:
B
Step-by-step explanation:
the reason why is a bigger sample size and a different types of people in a 100 than 3 or than himself
Create a word problem that can be represented by the following system of equations.
X + y = 50
2x + 4y = 120
Answer:
Step-by-step explanation:
You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars
The total tickets sold on Saturday was 50
The train station made 120
How many adult tickets and kid tickets did they sell?
(40 kids, 10 adults)
A pen cost $40 and the book cost $10
The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.
x + y = 50 ....... i
2x + 4y = 120 .... ii
Let x = pen
Let y = book.
From equation i, x = 50 - y
Since 2x + 4y = 120
2(50 - y) + 4y = 120
100 - 2y + 4y = 120
Collect like terms
-2y + 4y = 120 - 100
2y = 20
y = 10
Therefore, a book cost $10
Since x + y = 50
x + 10 = 50
x = 50 - 10
x = 40
A pen cost $40
Read related link on:
https://brainly.com/question/20986179
An optical inspection system is used to distinguish among different part types. The probability of a correct classification of any part is 0.93. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine the probability mass function of X.
Probability Mass Function of X
x f(x)
0
1
2
3
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Let P(X = x) mark x model number classified correctly.
The mass function of the probability:
[tex]\to f(0) = P(X=0) = (0.03)^3 = 0.0000\\\\\to f(1) = P(X=1) = (3 C_1)\times (0.97)\times (0.03)^2 = 0.0026\\\\\to f(2) = P(X=2) = (3 C_2)\times (0.97)^2 \times (0.03) = 0.0847\\\\\to f(3) = P(X=3) = (0.97)^3 = 0.9127\\\\[/tex]
[tex]x \ \ \ \ f(x) \\\\0\ \ \ \ 0.0000\\\\1\ \ \ \ 0.0026\\\\2\ \ \ \ 0.0847\\\\3\ \ \ \ 0.9127[/tex]
Find the reciprocal of the number 2/7
Answer:
7/2
Step-by-step explanation:
The reciprocal is basically just flipping the fraction upside down. Reciprocal is also called inverse.
a cash prize of $4,800 is awarded at a fundraiser. if 1200 ticket's are sold at $9 each find the expected value
Answer:
is 10,800
Step-by-step explanation: you multiply 1,200 x 9
There where 36 cookies on the table. 18 of the cookies got on them and were thrown out 9 cookies were eaten. How many cookies are still on the table
Answer:
4
Step-by-step explanation: add 10 with 4 then subtract 10
Answer:
9 cookies
Step-by-step explanation:
36 - 18 = 18
18 - 9 = 9
Hope that helps!
please help me please i really need help please
Can someone please help me with this problem
Answer:
the piont was 10.15 away from the that is dead see yea
Step-by-step explanation:
Write the equation for the inverse of the function. y=Arctan (x+pi/2)
Answer:
the answer is B
Step-by-step explanation:
PLEASE HELP im literally gonna cry
please answer this correctly please for extra points and brainliest PLEASE
Answer:
4x+10
Step-by-step explanation:
Slope form: mx+b
Slope formula: y2-y1/x2-x1
(2, 18) (3,22)
22-18=4
3-2= 1
4/1=4
4x+10
Which is the greater rate, 15 miles in 12 minutes or 25 miles in 20 minutes?
In a box there are 150 beads of red and blue colour. If there are 50 beads of red colour, find the ratio of red beads to blue beads.
Answer:
30 is the ratio
Step-by-step explanation:
-_-
There are 4 games at the carnival Kevin played all the games in 24 minutes. How many minutes did he spend at each game if he spent an equal amount of time at each?
Answer:
6 minutes at each game
Step-by-step explanation:
24 minutes divided by 4 games, if he spends and equal amount of time at each game it would be 24/4=6
Answer:
6
Step-by-step explanation:
24/4=6
6x +2(5x - 6) *
Your answer
Sully saves 2/3 of her paycheck for bills. If she makes $1,983, how much does she
have to pay her bills?
Pls help extra points and mark brainlist
Answer:
343
Step-by-step explanation:
One number is six more than five times another number. If the sum of the numbers is 24, find the numbers.
Answer:
x = 21 and y = 3
Step-by-step explanation:
We can write the sentences in math form, using "x" for one of the unknown numbers, and "y" for the other:
One number is six more than five times another number.
x = 5 y + 6
the sum of the numbers is 24
x + y = 24
solve for x in the second equation:
x = 24 - y
Use this to replace x in the first equation:
24 - y = 5 y + 6
add y to both sides
24 = 6 y + 6
subtract 6 from both sides to isolate the term in y
18 = 6 y
divide both sides by 6
y = 3
And now we can find x using:
x = 24 - y = 24 - 3 = 21
Therefore, x = 21 and y = 3
how do i do math qyestions
Answer:
By solving them of course ;-;
Answer: that depends on the qyestion
What is the measure of N
Answer:
C) 27 degrees
Step-by-step explanation:
N+63=90
-63. -63
N=27
HELP PLEASE ITS URGENT
What is m
Look at the image above
Answer:
m∠F = 90°
Step-by-step explanation:
By the property of a kite,
"One pair of the opposite angles are congruent"
m∠E ≅ m∠G
m∠E = m∠G = 113°
Sum of the interior angles of a polygon = (n - 2) × 180°
Here, n = number of sides of the polygon
For a kite, n = 4
Therefore, sum of the interior angles of the given kite = (4 - 2) × 180°
= 360°
Therefore, m∠E + m∠F + m∠G + m∠H = 360°
113° + m∠F + 113° + 44° = 360°
m∠F = 360° - 270°
m∠F = 90°
1/4( 16x-8)-8x= -1/3 ( ? x+9)
What is the only value you can substitute to have no values of x?
What number would I need to change 9 to have all values of x?
Answer:
d.16
Step-by-step explanation:
Pls help me
I will give brainliest
Answer:
I am you helper
Step-by-step explanation: