Answer:
[tex]P(x \ge 45000) = 0.77935[/tex]
Step-by-step explanation:
Given [Missing from the question]
Exhibit Teacher's Salary:
[tex]\bar x=50000[/tex]
[tex]s = 6500[/tex]
Required
Calculate [tex]P(x\ge 45000)[/tex]
First, we calculate the z score
[tex]z = \frac{x - \bar x}{s}[/tex]
[tex]z = \frac{45000 - 50000}{6500}[/tex]
[tex]z = \frac{-5000}{6500}[/tex]
[tex]z = -0.77[/tex]
[tex]P(x \ge 45000) = P(z \ge -0.77)[/tex]
[tex]P(x \ge 45000) = 1 - P(z \le -0.77)[/tex]
From the table:
[tex]P(z \le -0.77) = 0.22065[/tex]
So, we have:
[tex]P(x \ge 45000) = 1 - 0.22065[/tex]
[tex]P(x \ge 45000) = 0.77935[/tex]
what is the distance between -14 and 36 feet
Answer:
Your awnser is 50
Step-by-step explanation:
Have a great day! :D
Answer:
50
Step-by-step explanation:
because if you look on a line graph -14 then it takes 14 feet to get it to 0 then 36 more to get it even with 36 then add 14 and 36 and u get 50
evaluate the expression 3a + 4b - 5 when a = 6 and b = 2
Answer:
3(6)+4(2)^3-5
Step-by-step explanation:
= 45
if someone could explain to me how to do this
If $2000 is invested at 4% interest compounded monthly, the value of the investment after t
years is given by the expression below. What is the value of the investment after 3.5 years?
2000(4)
Use the factor theorem to determine which of the following is NOT one of the factors of 4x^4 - 21x^3 - 22x^2 + 117x + 90
Answer:
C. x-2
Step-by-step explanation:
got it right on edg.
what does 4/6 + 2/5 equal
Answer:
= 16 /15 (Decimal: 1.066667)
Step-by-step explanation:
4 /6 + 2 /5
= 4 /6 + 2 /5
= 2 /3 + 2 /5
= 10 /15 + 6 /15
= 10+6 /15
= 16 /15 (Decimal: 1.066667)
Answer:
16/15 or 1 1/15 as a mixed number
Step-by-step explanation:
Please help me answer this!!!!
Step-by-step explanation:
This is some of the most simple mathematics. You should seriously learn this, this will not being going away for a while and you'll have to cheat for basically every single answer if you don't learn it.
What is the total length of all meteors that are 1 6/8 inches?
3 4/8
3 5/8
4 7/8
3 7/8
Anwser: Hitler was the first person to get a 100 bomb IRL
Explenation: Took me 900 years to figure this out
What is 2/9 + 7/9 + 6/9 equal to
Answer:
15/9
Step-by-step explanation:
2/9+7/9+6/9
2×1, 7×1,6×1
2/9,7/9,6/9=15/9
If u want u can devide it
Which number line best represents the solution to the inequality
3.3 w - 9 > -22.2?
Answer:
Step-by-step explanation:
3.3w - 9 > -22.2
3.3w > -13.2
w > -4
The number line w + 4 = 0 best represents the solution to the inequality
3.3 w - 9 > -22.2
What is a linear inequality?A linear inequality represents all the possible values of a linear variable.
Given,
3.3 w - 9 > -22.2
or 3.3 w > -22.2 + 9
3.3 w > -13.2
w > -13.2/3.3
w > -4
Hence, the required line is w + 4 = 0 .
To learn more about linear inequality visit:
https://brainly.com/question/11897796
#SPJ1
ASAP
What is the multiplicity of the root (x^3-1)?
. Simplify: (-4a+ b–2c) –(3a+ 2b–c)
Answer:
(-4a + b – 2c) – (3a + 2b –c)
-4a+b-2c-3a-2b+c
-7a-b-c
Step-by-step explanation:
Taliyah plans to borrow $4500 from the bank to purchase a used vehicle. If she borrows the money at a rate of 4% simple interest for 2 years, what is the total amount she will have to pay back to the bank
Answer:
$4860
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 4500 × 0.04 × 2 = 360
I = $ 360.00
The simple interest accumulated
on a principal of $ 4,500.00
at a rate of 4% per year
for 2 years is $ 360.00.
Answer:
2250
Step-by-step explanation:
you times 4500 with 2 and get 9000. Then, you take the 9000 and divide it by 4 and get 2250.
You are the forecaster responsible for hurricane warnings on the southeast corner of the United States in September. Anyone that has lived in North Carolina for a while knows what is it is like at that time of the year, for example. The cost of issuing a warning like a hurricane involves people taking shelter, business stopping, the areas's economy paused - a moderate cost of C dollars. You also know the preventable loss should a hurricane come and the area be unprepared: property damage, lives lost -an extremely high loss of L dollars. Your weather forecast indicates hurricane with a probability of p.
(a) Should you issue a warning? Use expectations to create a decision rule for whether issuing or not a warning. Explain your rule.
(b) For what kind of extreme weather warnings is the decision more likely to be "do not warn" than "warn"? Explain.
Answer:
A)
C ≤ LP issue warning
C > LP do not issue warning
B )
For ' do not warm ' the condition will be that C is moderate while L is extremely high
Step-by-step explanation:
Assuming Y is an indicator that represents if a warning is issued or not
probability of occurrence of Hurricane = p
where; C = cost of issuing a warning
L = cost incurred for not issuing warning
A) Determine if you should issue a warning or not
In this scenario there are about four possible cases
'do not warn' , ' Hurricane did not occur ' : ( 1-y) ( 1-p)' do not warn ' , ' Hurricane occurred ' : ( 1-y ) p ' warn' , ' Hurricane did not occur' : y ( 1-p)' warn', ' Hurricane occurred' : y (p)hence the expected cost ( E ) = L ( 1 - Y )p + Cy
when warning is issued = Y ( 1 )
expected cost ( E ) = C
assuming warning is not issued then Y = 0
hence expected cost ( E ) = LP
Hence the decision rule will be :
C ≤ LP issue warning
C > LP do not issue warning
B) For ' do not warm ' the condition will be that C is moderate while L is extremely high ( as seen in the question ) because this will make C/L to be very small. from the condition C > LP and this simply means that the probability of the Hurricane occurring is very small
Factor the expression below.
4x2 - 1
I need help factoring something
Answer:
x^4
Step-by-step explanation:
Hope this is right ! :)
List the factors in the expression 4r + 5s +8.
PLZ HELP MEEEEE!!!!!
What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8?
x + 2y - 8 = 0
2x + y - 8 = 0
2x - y + 8 = 0
[tex]2x+y-8=0[/tex].
Need help please ..
Answer:
x = -11
Step-by-step explanation:
I'm assuming it's an isosceles triangle so 32 + 2x = 10;
subtract 32 from both sides;
2x = -22
x = -11
At Cascadia College, students need to take a 100 level Math and English courses plus an optional Philosophy course. In any quarter, the college needs to make available 4 less English sections than Math sections. In any quarter student demand for the optional Philosophy course is half as many sections as English sections. Available classrooms limit the total sections of all three courses to 44
Given these constraints how many sections of each course should the college make available each quarter to meet demand?
Math sections =
English sections =
Philosophy sections =
Answer:
Math sections = 20
English sections = 16
Philosophy sections = 8
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of Math sections.
y is the number of English sections.
z is the number of Philosophy sections.
Available classrooms limit the total sections of all three courses to 44.
This means that [tex]x + y + z = 44[/tex]
4 less English sections than Math sections.
This means that [tex]y = x - 4[/tex]
In any quarter student demand for the optional Philosophy course is half as many sections as English sections.
This means that [tex]z = \frac{y}{2} = \frac{x - 4}{2}[/tex]
Finding the number of Math sections:
We have both y and z as functions of x. So
[tex]x + y + z = 44[/tex]
[tex]x + x - 4 + \frac{x-4}{2} = 44[/tex]
[tex]2x + \frac{x-4}{2} = 48[/tex]
Multiplying everything by 2
[tex]4x + x - 4 = 96[/tex]
[tex]5x = 100[/tex]
[tex]x = \frac{100}{5}[/tex]
[tex]x = 20[/tex]
Then
[tex]y = x - 4 = 20 - 4 = 16[/tex]
[tex]z = \frac{y}{2} = \frac{16}{2} = 8[/tex]. So
Math sections = 20
English sections = 16
Philosophy sections = 8
Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit, what will the temperature of the hot chocolate be after 3 minutes? (k = 0.12)
A 132.56 degrees
B 272.33 degrees
C 149.46degrees
D 241.54 degrees
Leon bought 3 slices of pizza for himself and his friends. He spent a total of $7.50. Let p represent the price of one slice of pizza. Write an Algebraic Equation for the situation. Solve the Equation.
Plz do a step by step with the question
this will be for 35 points
Answer:
3p = 7.50 its something like that but hoped this helped
Step-by-step explanation
7.50 divided by 3
2.50
p= 2.50
An organization is contemplating the implementation of a drug test as part of screening potential employees. The drug test is not 100% effective, i.e., it occasionally classifies drug users as nonusers and vice-versa. Assume that the null hypothesis for the test is that a job candidate is not a drug user. Which of the following would be a Type II error?
a. A false positive (concluding the job candidate is a drug user when he or she is not)
b. A true positive (concluding the job candidate is a drug user when he or she indeed is)
c. A false negative (concluding the job candidate is not a drug user when he or she indeed is)
d. A true negative (concluding the job candidate is not a drug user when he or she is not)
e. There cannot be a Type Il error in this kind of drug testing.
Answer:
(c) A false negative (concluding the job candidate is not a drug user when he or she indeed is)
Step-by-step explanation:
First, we need to determine if it is possible for type II error to occur or not.
In analysis, type 2 error occurs when the stated null hypothesis is false.
The given null hypothesis here is "a job candidate is not a drug user" which indicates false. This means that option (e) cannot be the solution.
Having established that there is a possibility for an occurrence of type II error.
Next, is to determine the error.
Type II error implies false negative; hence, options (a), (b) and (d) cannot be the solution.
(c) is correct.
what is the value of this expression 32+50+(-50) HELP ME IM BEGGING YOUUUU
Assume the starting amount of coffee cups is 0. How many paper cups are left at the end of the week
Monday: +2000
Tuesday: -125
Wednesday: -127
Thursday: +1719
Friday: -356
Saturday: -782
Sunday: 0
2000 coffee cups are delivered 2000 at a time.
SOMEBODY HELP ME PLS? Anyone? :D
Answer:
Angle B is congruent to angle C
what is the value of xin the equation-5/8x=-150?
Answer:
29
Step by step explanation.
You add them together then you minus the 8 then you get 29 .
Tengo 618 galletas que repartí , puse 3 galletas en cada bolsa , cuantas bolsas utilize ?
This is very important and I need HELP!
Answer:
A
Step-by-step explanation:
1/144
.......... .......
Answer:
A
Step-by-step explanation:
Gary has 30 blueberry muffins which is 30%Of all blueberry muffins in her basket how many muffins are in her basket
Answer:
100
Step-by-step explanation:
If 30% of all of her muffins are blueberry muffins, that means that 30% of 100% are blueberry. We want to find how many total muffins there are in her basket. Using a ratio:
30 muffins 30%
----------------- = --------
x muffins 100%
Cross multiply:
30 (100) = 30 (x)
3000 = 30x
3000/30 = 30x/30
100 = x
x muffins = 100 muffins
So there are a total of 100 muffins in Gary's basket.