Answer:
Using calculator: 0.0415
Using Z-score Table: 0.0418
Step-by-step explanation:
There are two ways you can solve this problem.
1. Use the normal distribution function on a calculator.
Entered values:
Lower Limit: 126
Upper Limit: 999999999999999... (To encompass all the data)
Standard Deviation: 15
Mean: 100
2. Find the Z score and look up probabilities on table.
Formula for Z score:
[tex]Z=\frac{x-mean}{standard deviation} \\\\Z= \frac{126-100}{15}=1.7333...[/tex]
Z = 1.7333
This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.
This will show us the probability of the random sampling being equal to or lower than 126.
P = 0.9582
So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.
1-0.9582 = 0.0418
NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.
Hope this helped!
Kevin draws out one M&M without looking.
· What is P(green)?
· What is P(red)?
· What is P(~Yellow)?
· What is P(~Orange)?
Answer:
1/6
Step-by-step explanation:
M&M comes in 6 colors.
So, P(green), = 1/6
P(red) = 1/6
· P(Yellow) = 1/6
· P(Orange) = 1/6
What is the value of x?
Answer:
98%
Step-by-step explanation:
Bella makes 579 bracelets to sell. She wants to pack the bracelets into 12 boxes. 50 bracelets are packed into each of the first 11 boxes. How many bracelets will be packed into the last box?
how do you solve 0.7n-1.5+7.3n=14.5
Answer:
n = 2
Step-by-step explanation:
Answer:
n = 2
Step-by-step explanation:
0.7n-1.5+7.3n=14.5
Add like terms
(0.7n + 7.3n) + (-1.5) = 14.5
8n -1 .5 = 14.5
Add 1.5 to both sides.
8n =1 6
Divide both sides by 8.
n = 2
A metal measuring tape expands when the temperature goes above 50°F. For every
degree Fahrenheit above 50, its length increases by 0.00064%.
1. The temperature is 100 degrees Fahrenheit. How much longer is a 30-foot measuring
tape than its correct length?
Answer:
The answer is 0.0096
Step-by-step explanation:
which is 0.00032 multiplyed by 30
Answer: the answer is 0.0096
Step-by-step explanation: 0.00032 multiplyed by 30
The first step when multiplying fractions is to find the reciprocal of the second fraction.
O True
O False
The first step when multiplying fractions is to find the reciprocal of the second fraction.
The statement is False.
The first step when multiplying fractions is to find the reciprocal of the second fraction.
The given statement is FALSE.
Because, First step in multiplying fractions is multiply the numerator from each fraction. That is, multiply the top number first.
Learn more about multiplying fractions at:
https://brainly.com/question/33169891
#SPJ2
what is 1000000000÷10?
Answer:
Step-by-step explanation:
If you're dividing a number by 10, just remove one zero, so we have: 1000000000÷10 = 100000000.
Answer: 100,000,000
Step-by-step explanation:
1,000,000,000/10 = 100,000,000
Solve the Anti derivative.
Answer:
[tex]\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]
General Formulas and Concepts:
Algebra I
FactoringCalculus
Antiderivatives - integrals/Integration
Integration Constant C
U-Substitution
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Trig Integration: [tex]\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integral] Factor fraction denominator: [tex]\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx[/tex][Integral] Integration Property - Multiplied Constant: [tex]\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx[/tex]Step 3: Identify Variables
Set up u-substitution for the arctan trig integration.
[tex]\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx[/tex]
Step 4: Integrate Pt. 2
[Integral] Substitute u-du: [tex]\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du[/tex][Integral] Trig Integration: [tex]\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C[/tex][Integral] Simplify: [tex]\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C[/tex][integral] Multiply: [tex]\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C[/tex][Integral] Back-Substitute: [tex]\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]Topic: AP Calculus AB
Unit: Integrals - Arctrig
Book: College Calculus 10e
How many ways are there to add three positive even numbers to get a sum of 20? Solve this
problem by making a systematic list, then state your solution.
Help!!!!! can you show your work too thanks
Answer:
no entender veri mucho......aaaa
tan a= 12/15, a lies in quadrant 3, and cos x= -20/29, x lies in quadrant 2. find sin (a+x).
a) 345/377 b) 135/377 c) -152/377 d) 352/377
Answer:
c) -152/377
Step-by-step explanation:
yan po ang tamang sagot ko..
How to work with this? If multiple it 12*4=48 which is not correctly.
Answer:
Step-by-step explanation:
You must have not input your units of cm^2
URGENT HELP 30 POINTS
Answer:The answer is pride 5
Step-by-step explanation:
PLEASE HELP GEOMETRY
Answer:
Step-by-step explanation:
Please help
look at picture
supplementary angles
Answer:
x=56
Step-by-step explanation:
(2x-3)degrees+71 degrees=180 degrees because they are supplementary angles
This simplifies to 2x+68=180 because -3+71 is 68.
2x+68=180
2x=180-68
2x=112
x=112/2
x=56
Suppose $5000 is invested at 5.25% annual interest, compounded continually.
What will be the
amount in the account in 7 years if no money is withdrawn?
$2609.00
$7220.60
$5000.00
$5269.51
Answer:
I am sure that it is $7220.60
Step-by-step explanation:
If you invested in 5000 you would have that much in your account to withdraw
hope this works for you
A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 meters from the base. What is the angle of depression from the top of the tower to the point on the ground where the cable is tied?
Answer:
angle of depression = 59.04 degrees
Step-by-step explanation:
tangent X = 30/50
tangent X = 0.6
x = 30.96 degrees
90-30.96 = 50.04 degrees
Answer:
Step-by-step explanation:
θ = arctan(50/30) ≈ 59°
Carlos has a box of coins that he uses when playing poker
Number
with friends. The box currently contains 47 coins
Denomination of Coins Val
consisting of pennies, dimes, and quarters. The number of 0.01
pennies is equal to the number of dimes, and the total
value is $4.34. How many of each denomination of coin
does he have?
Answer:
d + 10d + 25q = 229.
Step-by-step explanation:
Find the quotient: 68/6
Answer:
The answer is 11. 2 is the remainder
Step-by-step explanation:
hope this helps
42% of a number is 210. What is the number
Answer:
number is 500 hope this helps
Answer:
42%of n=210
42/100 ×n=210
n=21000/42=500
Many fire stations handle emergency calls for medical assistance as well as those requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.81. This can be expressed as P(call is for medical assistance)
Answer: The is down there
Step-by-step explanation: Glad to help but hope it helps you.
A system of equations where both X and Y cancel and you are left with just a number is called
are squares parallelograms
9514 1404 393
Answer:
yes
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides parallel. A square is such a quadrilateral, so a square is a parallelogram.
_____
A rhombus is a special case of parallelogram in which adjacent sides are the same length.
A square is a special case of rhombus in which the angles are 90°. Hence a square is a special case of parallelogram.
__
An alternate route to the same conclusion is ...
A rectangle is a special case of parallelogram in which vertex angles are 90°.
A square is a special case of rectangle in which adjacent sides are the same length. Hence a square is a special case of parallelogram.
What is the area of a circle with a diameter of 34 mi? Use 3.14 for n
O 213.52 mi2
0907.46 mi2
O 106.76 mi2
0 3629.84 mi2
Answer:
907.46
Step-by-step explanation:
diameter = 34
radius = 17 (half of diameter)
A=πr^2
HOPE THIS HELPS PLZ MARK BRAINLIEST! :)
Easton is driving to a concert and needs to pay for parking. There is an
automatic fee of $8 just to enter the parking lot, and when he leaves the lot,
he will have to pay an additional $3 for every hour he had his car in the lot.
How much total money would Easton have to pay for parking if he left his car
in the lot for 2 hours? How much would Easton have to pay if he left his car in
the lot for t hours?
Answer:
If he left the car in the lot for 2 hours, he would have to pay 14 dollars. if he left it for "t" hours, he would have to pay 11 + 3t dollars
Step-by-step explanation:
Think of it like this: "a" represents the total amount of money Easton will spend, t represents time in hours. $11 + $3*t = a
Need help on only 27 please need ASAP thanks
Answer:
8 is not in the solution set
Step-by-step explanation:
Given, -y + 7 < -4
To find out if 8 is in the solution set, substitute y = 8 in the inequality and solve to see if the statement would be true.
Thus:
-8 + 7 < -4
-1 < -4
This -1 is less than -4. This is actually not TRUE. -1 is rather greater than -4.
Therefore, 8 is not in the solution set.
Work out the value of angle x.
Х
110 degree
Answer:
40 degrees
Step-by-step explanation:
the bottom angles are 70 each because you can find one of them by subtracting 110 from 180 (110 is an exterior angle to one of the bottom sides). The other is also 70 because the triangle is an isosceles. Then, subtract 70*2 from 180 to get 40 degrees for x (the remaining side).
Find the volume of the rectangular prism. 4 in 3 [in 4 in 4 in
Answer:
12
Step-by-step explanation:
The cost of staying in a hotel is given by the formula C=50d+20, where C is the cost in £ and d is the number of days a person stays. Find the cost of staying for:
a) 6 days
b) 2 weeks
c) If the cost is 120 then how many days the person can stay
Answer:
a) £320
b) £720
c) 2 days
Step-by-step explanation:
The question is all about inputting values and finding a result or rearranging and finding a result.
a) d = 6. C = 50(6)+20 = 320
b) d = 2x7 (7 days a week) C = 50(2x7) + 20 = 720
c) C = 120 ... 120 = 50d+20
100 =50d d = 100/50 = 2
Is x = -4 a solution to these equations? Show your work and write YES or NO.
1. 3(2x-4) = -36
2. 5x - 6x - x = 18
3. 5 - 2(3x - 1) = 31
Answer:
1. Yes
2. No
3. Yes
Step-by-step explanation:
We have three equations where x is equal to -4. We are then asked if -4 are a solution to these equations.
To solve we need to substitute the x in every equation for -4. Start :
1.
3(2(-4) - 4) = -36
3(-8 - 4) = -36
-24 - 12 = -36
Therefore -4 is a solution.
2.
5(-4) - 6(-4) - (-4) = 18
-20 + 24 + 4 = 18
4 + 4 = 18
8 ≠ 18
Therefore -4 is not a solution.
3.
5 - 2(3(-4) - 1) = 31
5 - 2(-12 - 1) = 31
5 - 2(-13) = 31
5 + 26 = 31
Therefore -4 is a solution.
It takes 26 pounds of seed to completely plant a 4-acre field.
How many acres can be planted per pound of seed?
Answer:
0.153846154
Step-by-step explanation:
26 pounds for 4 acres
1 pound will need less acres