Answer:
0.00621
Step-by-step explanation:
We solve the above question using the
Z score formula. This is given as:
z = (x-μ)/σ/√n
where
x is the raw score = 12.20 or earlier
This means x ≤ 12.20
μ is the population mean = 13.20
σ is the population standard deviation = 2
n is the random number of samples = 25
z = 12.2 - 13.2/2/√25
z = -1/2/5
z = -1/0.4
z = -2.5
Probability value from Z-Table:
P(x≤ 12.2) = 0.0062097
Approximately = 0.00621
Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621
PLS HELP!! Katie earned 15% more this week than last week. This week she earned $225, how much did she earn last week?
Answer:
$258.75
Step-by-step explanation:
225 * 0.15
Let last weeks pay = x
This week she earned 15% more so she earned 100% + 15% more for 115% total.
Setup an equation:
115% times x = $225
115% as a decimal = 1.15
So the equation is:
1.15x = 225
Solve for x by dividing both sides by 1.15:
X = 225/1.15
X = 195.65
Last week she earned $195.65
what is the radius of 34.54
Answer:
If 34.54 is the diameter then 17.27 is the radius
Step-by-step explanation:
34.54 ÷ 2 = 17.27
sin(a-30)-sin(a+30)=-coss
Answer:
We know that:
Sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)
Then if we use this property in our expression:
sin(a-30)-sin(a+30)
We get:
sin(a)*cos(-30°) + sin(-30°)*cos(a) - sin(a)*cos(30°) - sin(30°)*cos(a)
Now remember that:
sin(-x) = -sin(x)
and
cos(-x) = cos(x)
Then we can rewrite our expression as:
sin(a)*cos(30°) - sin(30°)*cos(a) - sin(a)*cos(30°) - sin(30°)*cos(a)
= -2*sin(30°)*cos(a)
and sin(30°) = 0.5
Then:
-2*sin(30°)*cos(a) = -2*0.5*cos(a) = -cos(a)
So we get:
sin(a-30)-sin(a+30)= - cos(a)
For which equations does 38 make the equation true? Choose all that apply. A. 4/8+□=7/8 B. 1 1/8−□=1 C. 1 1/8+□=4 1/8 D. 1 6/8−□=1 3/8
Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym B charges a registration fee of $164 plus $17.95 for members. After how many months would the total cost at Gym A and Gym B be the same for members?
What is the volume of water in the trough in cubic feet when the trough is full
Answer is in a photo. I can only upload[tex]^{}[/tex] it to a file hosting service. link below!
bit.[tex]^{}[/tex]ly/3tZxaCQ
Plsss help mark brain list
Answer:
59
Step-by-step explanation:
360 - ( 156 + 86 ) = 118
118 / 2 = 59
I WILL MARK BRAINLY HELP ME PLEASE! :)
Answer:
1. right
2. acute
3. obtuse
4. obtuse
5. acute
6. acute
7. scalene
8. scalene
9. isosceles
10. equilateral
11. scalene
12. isosceles
Step-by-step explanation:
Marcus has a bag of 10
red chips, 15 blue chips,
and 5 black chips. How
many times would he
expect to pick a red chip if
he did the experiment 60
times?
A) 10
B) 20
C) 30
D) 45
PLEASE HELP THIS IS DUE TODAY
Answer:
B
Step-by-step explanation:
Marcus can expect to have red chip 20 times.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
Given that, Marcus has a bag of 10 red chips, 15 blue chips, and 5 black chips.
He did an experiment 60 times and we need to find that how many times would he expect to pick a red chip,
So,
Here the favorable outcomes = red chips (10)
Total outcomes = all the chips = 15+5+10 = 20
So, the probability of finding a red chips for the 60 times = 10/20 x 60
= 30
Hence, Marcus can expect to have red chip 20 times.
Learn more about probability, click;
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Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)
determine whether the given ordered pair is a solution to the system of equations. 6x-2y=24 -3x+3y=24 and (10,18) yes, it is a solution no, it is not a solution
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the approximate distance between Chaplain and Asherville?
OA. 30.9 miles
OB.
14.7 miles
O c.
29.8 miles
OD.
16.4 miles
Answer:
B
Step-by-step explanation:
Remark
I'm hesitant to get an exact answer. You could do that with the cos law for distance. To get an approximate answer you could use the Pythagorean Theorem.
I'll try the cos law first.
Formula
c^2 = a^2 + b^2 - 2abcos(C)
Givens
c = 24
a = 18
b = ?
Solution
24^2 = 18^2 + b^2 - 2*18*b*cos(94)
576 = 324 + b^2 - 36*b*(-0.0698)
0 = 324 - 576 + b^2 + 2.511b
0 = b^2 + 2.511 - 252
Using the quadratic formula, the roots are
b1 = 14.66
b2 = - 17.11
The second one has no meaning in the real world.
Answer
the distance is 14.66 miles from Chaplin to Asherville
Note: using the Pythagorean theorem gives 15.87 which I would count as a good approximation.
Answer:
14.7
Step-by-step explanation:
got 100% on plato
The table below represents the closing prices of stock TUV for the first five
days it was open. Using your calculator, what is the equation of exponential
regression that fits these data?
Day
1
2
3
WN
Value
3.938
6.891
12.059
21.103
36.929
4
5
A. y = 2.25. 1.75%
B. y = 2.85.1.55%
C. y = 2.75 1.25%
D. y = 2.55.175
The answer is A the y=2.25
The equation of the exponential regression that fits these data,
y = 2.25 [tex](1.75)^x[/tex]
What is Exponential regression?It is a model that explains processes that increase at twice the rate. It is employed in circumstances where growth starts slowly but quickly accelerates without bounds, or decay starts quickly but slows down to zero.
The formula for expressing Exponential Regression is
y = a[tex]b^x[/tex]
We have given that,
The table below represents The closing prices of stock at TUV for the last five days
Days Value
1 3.938
2 6.891
3 12.059
4 21.103
5 36.929
First we have to find r as
r= 6.891/ 3.938
r = 1.749
As, the standard form of Exponential function
y = a[tex]b^x[/tex]
So, y = 2.25 [tex](1.75)^x[/tex]
learn more about linear regression here:
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Carmen made $247 for 13 hours of work.
At the same rate, how many hours would she have to work to make $171?
Answer:
9 hours
Step-by-step explanation:
$247/13hours=$19 per hour
$171/$19=9 hours
A.11.1
B.12.7
C.9.2
D.8.5
Answer: B. 12.7
Step-by-step explanation:
Answer:
D.8.5
Step-by-step explanation:
38.4/2=
19.2 L
19.2-10.7=
8.5
hope this helps ; )
is 6.7 and 6.40 equal?
Answer:
no
Step-by-step explanation:
Zero is Soo's miserly number. It won't give the number four
Select the graph that represents the given set. (Click on the graph until the correct one is showing.)
E = {(6, 2), (7, 3), (6, -1), (5, 4)}
Answer:
Hi! The answer is in the pic below!!
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Solve 3y^3 + 12y^2 + 12y =0
Please
Answer:
y = 0, -2
Step-by-step explanation:
Factor out the common term 3y.
[tex]3y( {y}^{2} + 4y + 4) = 0[/tex]
Rewrite y² + 4y + 4 in the form of a² + 2ab + b², where a = y and b = 2.
[tex]3y( {y}^{2} + 2(y)(2) + {2}^{2} ) = 0[/tex]
Use square sum: (a + b)² = a² + 2ab + b².
[tex]3y(y + 2) ^{2} = 0[/tex]
solve for y.
y = 0, -2.
therefor, the answer for this equation is 0, - 2.
look at pic 10 pts will mark brainilest
plz help for a brianly
Answer:
Heyyyyy! Help with what?
Step-by-step explanation:
Let me know :)
Have a nice day <3
The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either involved in a relationship or uninvolved. Among involved people, 15 percent experience a breakup of their relationship every month. Among uninvolved people, 15 percent enter into a relationship every month. What is the steady-state percentage of residents who are uninvolved
Answer:
the steady-state percentage of residents who are uninvolved is 0.5
Step-by-step explanation:
Given the data in the question;
let N represent total number of people in the dormitory
I represent people involved in a relationship
and U represent people uninvolved in a relationship.
so
N = I + U
I = N - U ------ let this be equation 1
Rate of Uninvolved = U/N
now, given that rate of break ups B = 15% every month = 0.15
rate of entering into relationship R = 15% every month = 0.15
Now, the steady state condition is;
RU = BI ------- let this be equation 2
such that uninvolved rate is constant.
we input equation 1 into 2;
RU = B( N - U )
we divide both sides by N
RU/N = B( N/N - U/N )
RU/N = B( 1 - U/N )
U/N = B / (B + R)
so we substitute
U/N = 0.15 / (0.15 + 0.15)
U/N = 0.15 / 0.3
U/N = 0.5
Therefore, the steady-state percentage of residents who are uninvolved is 0.5
One week Carlos bought 2 packages of dog bones and 4 packages of cat treats for $18.50. Because the finicky cats didn’t like the cat treats, the next week Carlos returned 3 unopened packages of cat treats and bought 2 more packages of dog bones. After being refunded for the cat treats, Carlos only had to pay $1.00 for his purchase. Based on this information, figure out the price of each item. Explain your reasoning.
Answer:
1 package of dog bones = 4.875
1 package of cat treats = 2.1875
Step-by-step explanation:
you add the $1 to the 18.50 = 19.50 these are the amount of money for 4 bags of dog food. you take away all the dog food(4) from it = 8.75 divide by 4 for the 4 bags of cat food= 2.1875
sorry I'm very bad at explaining you can put it in your own words
Answer:
Not an answer but OMG
Step-by-step explanation:
I love the Whitty profile pic :)
Solve system pls
x=y-7 5x-5y=-35
10 pts
Answer:
x=y-75x-5y=-35
Step-by-step explanation:
All I know it’s not D and i’m super confused and I just want to go to bed
Answer:
C.
Step-by-step explanation:
Before graphing this equation we first need to isolate y on one side like so...
y + 2 = 3(x+1) ... distribute the 3 to both values inside the parenthesis
y + 2 = 3x + 3 ... subtract 2 on both sides
y = 3x + 1
Now that we have the y variable isolated we see that the slope of the function is 3, meaning that for every 1 unit right the line needs to move 3 units up. We also have the value where the line needs to cross the y-axis and that is 1. Using this information we see that the correct graph is C.
Simplify: 9^0. I’m a bit confused so can somebody please help me? (:
Answer:
the answer is 1 because the power of any no. 0 is always 1
what is the answer?
8 x 1/2 = ______
Answer:
4
Step-by-step explanation:
Another way to write this is 8/1 x 1/2. Then the answer would be 8/2. Simplify to get 4.
8 × 1/2 = 4!
Calculation steps:
8 ×
1
2
= 8 ×
1
2
=
8 × 1
1 × 2
=
8
2
=
8 ÷ 2
2 ÷ 2
= 4
12239.32=6000(1.02)³⁶
Answer:
That's false
Step-by-step explanation:
6000(1.02)³⁶ = 2.1 × 10¹³⁶
express the following in a a+bi form.
(3 – i)(4 + 7i) – ((5 – i) – 2(1 – 3i))
Answer:
16+12i
Step-by-step explanation:
PLEASE HELP I DONT UNDERSTAND THIS AND ITS DUE TODAY *10 POINTS*
Answer:
third side = 7
Step-by-step explanation:
x² = 9² - (4√2)² = 81 - 32 = 49
x = √49 = 7
Conce
Unknown to a medical researcher, 9 out of 20 patients have a heart problem that will result in death if they receive the test drug. 8 patients are randomly selected to
receive the drug and the rest receive a placebo. What is the probability that exactly 6 patients will die? Express your answer as a fraction or a decimal number rounded to
four decimal places.
Answer:
0.0367 = 3.67% probability that exactly 6 patients will die
Step-by-step explanation:
The patients are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question, we have that:
20 patients means that [tex]N = 20[/tex]
Sample of 8 means that [tex]n = 8[/tex]
9 have the heart problem, so [tex]k = 9[/tex]
What is the probability that exactly 6 patients will die?
This is P(X = 6).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 6) = h(6,20,8,9) = \frac{C_{9,6}*C_{11,2}}{C_{20,8}} = 0.0367[/tex]
0.0367 = 3.67% probability that exactly 6 patients will die