Answer:
(a) 0.90
(b) 0.9001
Step-by-step explanation:
[tex]X_{i}\sim N(50, 100);\ i=1,2,3...16[/tex]
(a)
[tex]P ( 796.2 < \sum\limits^{16}_{i=1}{(X_{i} - 50)^{2} < 2630)=P ( \frac{796.2}{100} < \sum\limits^{16}_{i=1}{(\frac{X_{i} - 50}{10})^{2} < \frac{2630}{100})[/tex]
[tex]=P ( 7.962 < \sum\limits^{16}_{i=1}{Z_{i}^{2} < 26.3)\\=P ( 7.962\leq \chichi^{2}_{16} \leq 26.3)\\\\=P(\chi^{2}_{16}\leq 26.3)-P(\chi^{2}_{16}\leq 7.962)\\\\=0.90[/tex]
*Use the chi-square table.
(b)
[tex]P ( 726.1< \sum\limits^{16}_{i=1}{E(X_{i}-\bar X)^{2} < 2500)=P ( \frac{726.1}{100} < \frac{(n-1)S^{2}}{\SIGMA^{2}}< \frac{2500}{100})[/tex]
[tex]=P ( 7.261\leq \chi^{2}_{16-1} \leq 25.0)\\\\=P(\chi^{2}_{15}\leq 25.0)-P(\chi^{2}_{15}\leq 7.261)\\\\=0.9001[/tex]
*Use the chi-square table.
Help with volume formula
Answer:
i don't even know what that says i can't even see it
Step-by-step explanation:
Step-by-step explanation:
Rectangular Prism- Length times width times height= V
Cylinder- πr2h= V
Cone- Base times height= V
Hope this helped :)
WRITE THE BIGGEST 69 ON THE PLANET
Answer:
░█████╗░░█████╗░
██╔═══╝░██╔══██╗
██████╗░╚██████║
██╔══██╗░╚═══██║
╚█████╔╝░█████╔╝
░╚════╝░░╚════╝░
Step-by-step explanation:
BIG 69!
Answer:
69
Step-by-step explanation:
At school 2 out of every 5 students in 6th grade are members of the band.Which ratio represents the number of 6th graders that are not members of the band.
Answer:
3:5
Step-by-step explanation:
if it's 2 out of 5 have then 3:5 is the other...HOPE this Helps..
. How many faces does a polyhedron with
20 vertices and 30 edges have?
Answer:
12
Step-by-step explanation:
Answer:
12
Explanation:
Trust!
Hope this helps! :)
2.5 cups of water fill 4, identical water bottles. How many cups fill each bottle? (Just type the
number of the answer.)
Answer:
.625
Step-by-step explanation:
What is the common difference between successive terms in the sequence 2,8,14,20
Answer:
6
Step-by-step explanation:
2,8,14,20
2+6=8
(2,8)= (6)
14+6=20
(14,20)= (6)
8+6= 14
(8,14)= (6)
The common theme of the sequence is 6.
A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?
Answer:
i think the wendy's small fries are 460 calories
Step-by-step explanation:
Eric has 7 red shirts and 11 black shirts what is the ratio of red and black shirts.
Answer:
7:11
Step-by-step explanation:
Hope this helps! God bless.
Which graph shows the solution to the system of linear inequalities? Y< 1/3x-1 y<1/3-3
1) All values that satisfy y<1/3-1 are solutions
2) All values that satisfy y<1/3-3 are solutions
3) All values that satisfy either equations are solutions
4) There are no solutions
(Edge 2020)
The solution of the system of linear inequalities is All values that satisfy y<1/3-3 are solutions. (option 2)
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is a graph of inequalities, y < 1/3x-1 and y < 1/3-3
The solution of the inequality A is the shaded area below the solid blue line and the solution of the inequality B is the shaded area below the solid red line,
That means all the solutions of inequality B will satisfy the inequality A also.
Hence, The solution of the system of linear inequalities is All values that satisfy y<1/3-3 are solutions. (option 2)
For more references on inequality, click;
https://brainly.com/question/28823603
#SPJ5
A consumer report claims that more than 10% of the cars from a car manufacture experience engine failures before reaching a mileage of 150,000 miles. A sample of 65 cars is investigated and 9 of the cars had engine failure before 150,00 miles. Conduct a hypothesis test to test the claim with a significance level of 0.10.
Answer:
We will fail to reject the null hypothesis and conclude that there is no sufficient evidence to suggest that more than 10% of the cars from a car manufacture experience engine failures before reaching a mileage of 150,000 miles
Step-by-step explanation:
We are given;
Population proportion; p_o = 10% = 0.1
Sample proportion; p = 9/65 = 0.1385
Z-score formula for this is;
z = (p - p_o)/√(p_o(1 - p_o)/n)
z = (0.1385 - 0.1)/√(0.1(1 - 0.1)/65)
z = 0.0385/0.0372
z = 1.03
From online z-score calculator, we have; p - value = 0.1504
Our p - value is greater than the significance level of 0.1.
Thus,we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to suggest that more than 10% of the cars from a car manufacture experience engine failures before reaching a mileage of 150,000 miles
PLease help, i'm struggling and can't find the answer anywhere
1 ÷ (4 × 4 × 4 × 4 × 4)
P.S. I need it in fraction form
Answer:
1/1024
Step-by-step explanation:
It can also be written as 1/4^5 and you just have to simplify it.
Matthew’s score in a video game varies directly with the number of keys he finds. When he found 4 keys, his score was 1400 points.
What is the constant of proportionality for this relationship?
Answer and explanation:It's A
Compare using <,> or =. HELP plsplspls !! :)
Answer:
> to 7
Step-by-step explanation:
PLEASE RATE ME GOOD
Answer:
<
Step-by-step explanation:
0.75 = 3/4
0.75 > 0.7
Simplify the expression below:
(7y^2-3y)-(4y^2+2y-2)
Answer:
−5y2−8y+5-5y2-8y+5 there u go
What are the domain and range of f (x)=16
Range: {16 }
Domain:(- ∞ , ∞ ),{ x| x∈ R }
Step-by-step explanation: Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
A typical tip in a restaurant is 15% of the total bill. If the bill is $140, what would the typical tip be?
Answer:
21
Step-by-step explanation:
Estimate each product 7.1 x 2.1
Answer:
14
Step-by-step explanation:
7.1 rounded is 7
2.1 rounded is 2
so the answer should be 14
√−100 =
bruh jus help me dawg
Answer:
i√100
=10i
Step-by-step explanation:
this is a complex imaginary number, it does not exist so we put i there.
Answer:
bruhness
Step-by-step explanation:
Using the order of operations and locations of parentheses (brackets), change the value
of a string of four 4s to evaluate to 36
Answer:
4 ( 4 + 4 + 4 )
Step-by-step explanation:
there are 28 students in 3b, for math 18 students have an F. How many % is that?
Answer:
64.29%
Step-by-step explanation:
Jason bought a case of Macaroni and Cheese last week for $12.56. This week he bought the same size case for $16.98. What was the percent increase? Round to the nearest percent.
a
26%
b
42%
c
4.42%
d
35%
Answer:
A
Step-by-step explanation:
[tex] \frac{16.98 - 12.56}{16.98} \times 100 = 26[/tex]
Answer:
35.191083%
Step-by-step explanation:
12.56/100=0.1256 (1%)
That's one percent of 12.56. How much by 0.1256 (1% of 12.56) is 16.98 (rised price)?
I used a two-step equation to get the answer
x*0.1256 = 16.98 /0.1256 /0.1256Divide both sides to get
x = 135.191083Now just subtract 100 because that was the old value
135.191083 - 100 = 35.191083and you get 35.191083. Therefore, the answer is D.
Linear Equations :
3x - 5/3 = x - 3
Answer:
x=(-2/3)
Step-by-step explanation:
Looked it up on google and got that answer, also used an online linear equation calclator
(6 + 3) ÷ (4 – 5) = for edgienuity
Answer:
-9
Step-by-step explanation:
(6+3) divided by (4-5)
9/-1
-9
Write a ratio for 6 cups of flour to 2 cups of milk
Answer:
A ratio of 6:2 or 6 to 2 can be used, or students might recognize and suggest the equivalent ratio of 3:1.
Step-by-step explanation:
A ratio of 6:2 or 6 to 2 can be used, or students might recognize and suggest the equivalent ratio of 3:1.
Please I need some answers
Answer:
The answer is +1 because par is basically 0 and 3-2 would be 1. This means that he is overall shooting 1 over par on the course.
Step-by-step explanation:
3. The parents of a newborn girl want to invest $1000 in some kind of saving plan that their child could
use after her 21st birthday. Savings Plan A will increase the amount in the account by $75 per year for
as long as the account is active. Savings Plan B will increase the amount in the account by 5% per year
as long as the account is open
Write an equation for plan A
Write an equation for plan B
Answer:
A. 1000x75t=i
B. 1000(1+5%/n)^t
Step-by-step explanation:
i=prt interest principle rate time
a=p(1+r/n)^t amount principle rate number of times interest is compound time
Hope this helps.
PLEASE ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY PLS ANSWER THO LIKE ITS SOO CONFUSINGG I BEG YOU PLS AND TY
Answer:
5
Step-by-step explanation:
9) y=12x+6
I've attached a photo for #10
What is the greatest common factor of...
5m²x²y⁵ - 10m²xy² + 15m²x²y⁴
Answer:
5m²xy² is the answer to the question.
Tell me the answer pls need help
Answer:
(-1,-4)
Step-by-step explanation:
The point (-1,-4) is where both lines intersect.
Answer:
(-1, -4)Step-by-step explanation:
find:
Coordinates of intersection of linesAs per the graph the intersection point has coordinates:
x = - 1, y = - 4The point is (-1, -4)
The area of the Arctic Ocean is about 5 million square miles. This is about 16% of the area of which ocean shown in table?
Answer:
25✓
Step-by-step explanation:
sorry not really true just need more loints
