Step-by-step explanation:
H0: u = 150
H1: u ≠ 150
Total sum = 15933.24
N = 100
Mean = 15933.24/100
= 159.3324
σ² = 25954.03 - (159.3324)²/100
σ² = 556.213
σ = √556.213
σ = 23.8162
Testing hypothesis
t = (bar x - u)/ σ/√n
= 159.3324-150/23.8162/√100
= 3.91
We will have a p value of 0.02
0.0002 < 0.01
We reject null hypothesis at 1% level of significance
C. Mean = 159.3324
Se= 2.3936
Df = 100-1 = 99
Critical value at 0.01 = +-2.626
T = x-u/s.e
= -2.626 =( x -150)/2.3936
When we cross multiply and solve this
X = 143.714 for the lower tail
2.626 = (x-159)/2.3936
= 156.286 for upper tail.
We therefore reject H0 at
Bar X <= 143.71
Bar X >= 156.286
At 10%
Critical t = 1.660
-1.660 = (x - 150)/2.3936
Solving this ,
X =146.02 at the lower tail
1.660 = (x-150)/2.3936
X = 153.97
We reject H0 at
X<= 146.03
X>=153.97
Evaluate -5x+8 when x=3
Answer:
-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
you do -5 times 3 and get -15 then you add the 8 with -15 and get a -7
What is the minimum number of x-intercepts that a polynomial of degree 10 can have?
Use the domain and range of each of the following relations to determine which is a function.
{(-4,3), (-2,-1), (-4,8)}
{-4, 3), (-2.-1), (-7, 8)}
{-4,-2,-7, 7}
{-4,3). (-2, -1). (-2, -8), (-7,8)}
Answer:
A) Not a function
B) Function
C) Function
D) Not a function
Step-by-step explanation:
If the relation has two of the same x-values (that equal different y-values), it is not a function. In other words, if each input value leads to only one output value, classify the relation as a function.
{(-4,3), (-2,-1), (-4,8)} = Not a function
{-4, 3), (-2.-1), (-7, 8)} = Function
{-4,-2,-7, 7} = Function (I think?)
{-4,3). (-2, -1). (-2, -8), (-7,8)}= Not a function
Exponential Function:
Activity: Bacterial population
A population of bacterium in laboratory conditions grows every 20 minutes in 10% the number of specimens. At the beginning of the observation, at 8:00 AM, the population had approximately 3,000,000 individuals:
1. Complete the following attached table (table below) as requested by completing each of the blank boxes.
2. What is the approximate population of bacterium at 10:00 AM?
3. Write the function in power form, indicating which is the dependent and independent variable.
4. Using the function found, determine the bacterial population five hours after the start of the observation.
Answer:
See below
Step-by-step explanation:
GivenInitial population at 8:00 AM3000000Growth rate = 10% = 1.1 times per 20 minSolution1. Table
Note. I am not sure what are the last 3 rows. Just added next 3 terms.
8:00 ≡ G(0) ≡ 3000000 ≡ 30000008:20 ≡ G(1) ≡ 3000000 *1.1 ≡ 33000008:40 ≡ G(2) ≡ 3000000 *1.1^2 ≡ 36300009:00 ≡ G(3) ≡ 3000000 *1.1^3 ≡ 39930009:20 ≡ G(4) ≡ 3000000 *1.1^4 ≡ 43923002. Population at 10:00
Time passed since 8:00 is 2 hours = 2*3*20 min = 6* 20 minPopulation = 3000000*1.1^6 = 53146833. Function to reflect the population growth
G(x) = 3000000*1.1^xG(x) - is dependent variable, population of bacteriax - is independent variable, time increment of 20 min4. Population after 5 hours
5 hours = 5*3*20 min = 15*20 minG(15) = 3000000*1.1^15 ≈ 12531745What is the domain of the equation y = 2/5x - 4?
Answer:
domain= {x/x€R/x≠0}
Step-by-step explanation:
The domain of the equation y = 2/5x - 4 is all the real values of x.
What is function?Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given equation is,
y = 2/5x - 4.
The graph of the given equation is given below.
Since, the domain of the function is all the values of x,
For the given function, the values of x varies from -∞ to +∞.
Implies that, the value of x is the real value.
Therefore, the domain of the given equation is all real values.
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7g:1kg to its simplest form
Answer:
7kg:1kg=7:1 itself
Because 7 and 1 has one '1' as a common factor, so they can't be simplified
How do you do this question?
Step-by-step explanation:
lim(n→∞) an / bn
= lim(n→∞) [(sin²n) / (n³√n + n)] / (1 / n^⁷/₂)
= lim(n→∞) [(sin²n) / (n³√n)] / (1 / n^⁷/₂)
= lim(n→∞) (sin²n)
DNE
Since the limit does not exist, the limit comparison test is inconclusive.
For this function, what would f(34) = 72 mean?
A. That the 34th case has 72 blocks
B. That the y-intercept is 72
C. That the point (72, 34) is part of the solution
D. That the 72nd case has 34 blocks
Answer:
c
Step-by-step explanation:
what is the slope of this line ((2,3) (5,5) (8,7)
Answer:
[tex]\huge\boxed{\text{the slope}=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
The formula of a slope
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coorcinates of the points:
(2, 3); (5, 5)
[tex]m=\dfrac{5-3}{5-2}=\dfrac{2}{3}[/tex]
(2, 3); (8, 7)
[tex]m=\dfrac{7-3}{8-2}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}[/tex]
The point (2, 3), (5, 5) and (8, 7) are collinear because have the same slope.
PLEASE HELP WILL GIVE BRAINLIEST PLSSSSS
Answer:
c
Step-by-step explanation:
2 1/2 =1 2/3 ÷y
what is y
Answer: 0.664
Step-by-step explanation: 1.666/0.664=2.5
Renee divided an integer “x” by -4 and got 10. Then, she divided the 10 by integer “y” and got -2. Find the quotient of integers “x” and “y”. What's the quotient of x and y?
Write a complete explanation (5 or more sentences) about how you got to this answer and include your steps.
Answer:
x=-40, y= -5 the quotient of x and y ie x/y = 8
Step-by-step explanation:
we first have that when -4 divides x we get 10, thus x must be -40, simmilarly we have that 10/y = -2 thus y= -5 , therefore y=-5, their ratio or quotient is simply -40/-5 = 8.
The total dinner bill for 5 people was 55.30. How much will each person pay if they share the cost equally
Answer:
11.06
Step-by-step explanation:
55.30/5 Separate the decimals and whole numbers and divide both by 5
55/5=11 and 0.30/5=0.06
11+0.06=11.06
Answer:
11.06
Step-by-step explanation:
what is the answer of this 100 x 20 =
Answer:
2,000
Step-by-step explanation:
An easy way of solving problems like these is to count the number of zeros in the equation, temporarily remove them, solve the new problem, and then add all the zeros that you removed before. In this case:
100 x 20 = ?
1 x 2 = ? | 000
2 | 000
2,000
Here's another example:
300 x 5000 = ?
300 x 5000 = ?
3 x 5 = ? | 00000
15 | 00000
1,500,000
Page
writh the unit of electric charge
eyon
on the
Answer: a battery it is right it told me the answer
Step-by-step explanation:
The Castillo de San Marcos is a Spanish
fortress that was built between 1672
and 1695.
a. Rounded to the nearest ten
thousand, how many pesos did it
cost to build the fortress?
It cost 138,375
pesos to build this
fortress
b. How many years did it take to build
the fortress?
Answer:
a. 14,000 pesos
b. 23 years
Step-by-step explanation:
What is 3. 9, 27, 81, 243 can someone plz help
Answer:
This is an exponent problem. 3 to the power of 4 or maybe 5
Step-by-step explanation:
Each number in this pattern is multiplied by 3
WHAT IS 12X124
PLEASE ANSWER ASAP FIRST TO ANSWER GETS BRAINLY
Answer:
1488 (✿◕‿◕✿)
Step-by-step explanation:
Answer:
1488
step-by-step explanation:
124
12 when multiplied equal 1488
A. Describe how each student might have reached his or her conclusion. Is each student’s conclusion valid? Explain.
Answer: Conclusion validity is the degree to which conclusions we reach about relationships in our data are reasonable.
Step-by-step explanation:
Is this nonlinear?
S
Answer: it seems to be Liner
Step-by-step explanation:
Has a Constant rate
BILL IS IN A CLASS OF 15 BOYS AND 35 GIRLS. 30% OF THE STUDENTS IN
THE CLASS TAKE THE BUS TO SCHOOL. HOW MANY STUDENTS DO NOT TAKE
THE BUS TO SCHOOL?
Step by step explanation plz I need to show my work!
Answer:
35
Step-by-step explanation:
15+35=50
50=total number of students
50*0.3 = 15
50 - 15 = 35
35 students do not take the bus to school
Add 1 to half of h.How to write in algebraic expression?
اور مدنی
Sin A /1-cosA= cot1/2
عورت سے
Which angle is a vertical angle with Angle EFD?
Answer:
Angle AFB
Step-by-step explanation:
pls help fast pls pls
Answer:
x = 10-3
When x + 3 = 10 is simplified x = 7 AND x = 10-3 also equals 7 (x = 7)
Simplify y + (15 + y)
Answer:
2y + 15
I hope this helps!
Remove the parenthesis:
y+15+y
Group like terms:
y+y+15
Add similar elements:
2y+15
Dylan took an applicant-paid job through an employment agency. The job pays $395 per week. Dylan must pay a fee to the agency. The fee is 20% of his first 4 weeks pay. How much does Dylan owe the employment agency?
Answer:
Dylan owed a $1,264 fee, and earned $316
Step-by-step explanation:
First find out how much money he gets in 4 weeks without the fee
395 times 4 = $1,580
Then multiply 1,580 by the .2 percent he owes the eployment agency
$316
(He gets $316 for working for 4 weeks minus the fee) Subtract the payment without the fee by the payment with the fee to find out how much the fee was.
Dylan owe the employment agency $316
First we need to calculate the amount that Dylan will earn for the first 4 weeks. This will be:
= Weekly earnings × Number of weeks
= $395 × 4
= $1580
Since Dylan pays 20% to the employment agency, then the amount owed will be:
= 20% × $1580
= 0.2 × $1580
= $316
In conclusion, Dylan owe the employment agency $316.
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how many fifths are there in 8 3/5?
Answer:
43 becuase 8 3/5 times 5
Step-by-step explanation:
What the answer and how
Balu and Pumba shared ½ of a cake. Balu got to eat twice as much cake as Pumba. What fraction of the whole cake did Balu eat?
Answer: 1/3
Step-by-step explanation:
Answer:
2/6
Step-by-step explanation:
2/6 + 1/6 = 3/6 which is 1/2 2/6 is the amount balu had and 1/6 is the amount pumba had
