Answer:
$288
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 18%/100 = 0.18 per year,
then, solving our equation
I = 3200 × 0.18 × 0.5 = 288
I = $ 288.00
The simple interest accumulated
on a principal of $ 3,200.00
at a rate of 18% per year
for 0.5 years is $ 288.00.
The average weight of ten bulls is 500kg and the standard deviation of the weight is 30kg. What would be the weight of a bull that is 6 standard deviations above the mean weight
Answer:
680kg
Step-by-step explanation:
The average weight of ten bulls is 500kg and the standard deviation of the weight is 30kg. What would be the weight of a bull that is 6 standard deviations above the mean weight
The formula to solve for the weight that is 6 standard deviation above the mean weight =
μ + 6σ = w
Where
μ = Mean weight = 500kg
σ = Standard deviation = 30kg
Hence:
w = 500kg + 6(30kg)
w = 500kg + 180kg
w = 680kg
Therefore, the weight of a bull that is 6 standard deviations above the mean weight is 680 kg
Using the normal distribution, it is found that the weight of a bull that is 6 standard deviations above the mean weight is of 680 kg.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, of [tex]\mu = 500[/tex] and of [tex]\sigma = 30[/tex].
The weight of a bull that is 6 standard deviations above the mean weight is X when Z = 6, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]6 = \frac{X - 500}{30}[/tex]
[tex]X - 500 = 6 \times 30[/tex]
[tex]X = 680[/tex]
The weight of a bull that is 6 standard deviations above the mean weight is of 680 kg.
More can be learned about the normal distribution at https://brainly.com/question/24663213
What is the sum of x- and y-coordinates of the midpoint between (-8,-4) and (-9, 8)?
7/9 of 10800
please help quickly !!
Answer:
8400
Step-by-step explanation:
10800/9= 1200
1200*7= 8400
7 is what percent of 36?
a. 19.4%
b.194%
a 5.14%
d. 514.3%
Answer:
19.4
Step-by-step explanation:
Pls help I need this soon :) thank you
Answer:
A would be equivalent
Step-by-step explanation:
if you think about it answers c and d would not make sense because they use 14 and not nine, so if you comapare the two you should get answer A
MHANIFA PLS HELP ME :), or it cud just be anyone :)rEALLY EZ PLS HELP!!! ASAP TY :)
show all work converto to radical form and simplify if possibblr 36-^3/2
Answer:
216Step-by-step explanation:
36^(3/2) = (6^2)^(3/2) =6^(2*3/2) =6^3 = 216Answer:
[36^3] squared
Step-by-step explanation:
formula a x/n= n [a^x] squared
a x/n= n [36^3]
[36^3] squared
Help with both questions please <3
Answer:
Step-by-step explanation:
Part A
A square pyramid surface area can be calculated using A = Lw (which gives you surface area of the base square) & 4 of A = bh/2 (which gives you surface area of the 4 triangles on the side)
This means overall A = Lw + 4(bh/2)
Length = L = 4"
Width = w = 4"
Base = b = w = L = 4"
Height = h = 6"
A = Lw + 4(bh/2)
A = Lw + 2bh This is the answer after simplifying
A = (4")(4") + 2(4")(6") This is the numerical expression.
A = 16" + 48" = 64" This is the numerical answer.
A square prism surface area can be found using 2 of A = Lw (which represents the surface area of the 2 squares) and 4 of A = Lh (which gives you the surface area of the 4 rectangles).
This means overall A = 2Lw + 4Lh
Length = L = 4"
Width = w = 4"
Height = h = 6"
A = 2Lw + 4Lh
A = 2(4")(4") + 4(4")(6") This is the numerical expression.
A = 128" This is the numerical answer.
Part B
To see the difference between the 2 polyhedrons, I will place them as follows.
Pyramid Area = A = (4")(4") + 2(4")(6")
Prism Area = A = 2(4")(4") + 4(4")(6")
The numerical expression shows that the surface area of the prism has one more square area (as represented by 4"x4"), and has 2 more rectangular area (as represented by 4"x6").
The difference of the 2 numerical expressions can be found using subtraction:
A = [2(4")(4") + 4(4")(6")] - [(4")(4") + 2(4")(6")]
A = (4")(4") + 2(4")(6")
Hope this helps.
Three times the sum of a number, n, and 5 is at least 17. Which of the following inequalities properly models
this statement?
(1) 3n+5<17
(3) 3(n+5) 217
(2) 3n+5217
(4) 3(n +5) <17
Answer:
Step-by-step explanation:3
Answer: 3(n + 5) ≥ 17
HOPE THIS HELPS
Jayden is starting a business selling handmade necklaces. He has decided to invest an initial amount of $300 for advertising, and materials cost $8 for each necklace he makes. Jayden can sell his creations for $14 per necklace. Once he makes and sells a certain number of necklaces, he will break even, with identical expenses and sales. How many necklaces would that take?
Answer:
14-8=6/300=50 thats your answer
In a triangle, the measure of the first angle is five times the
measure of the second angle. The measure of the third angle
is 40 less than five times the measure of the second angle.
What is the measure, in degrees, of each angle?
8n+16.2=1.6
Plzzz
Help ,
Answer:
8n+16.2=1.6
n=-1.825
Step-by-step explanation: Subtract 16.2 from both sides 8n+16.2-16.2=1.6-16.2
Simplify 8n=-14.6/8
n=-1.825
Answer:
-1.825
Step-by-step explanation:
8n + 16.2 = 1.6
(step1)
8n + 16.2 = 1.6
- 16.2 -16.2
8n = -14.6
(step2)
8n = -14.6
---- ------
8 8
(step3)
-1.825
1. subtract 16.2 from both sides, you have to get rid of the number that is being add/subtracted to get the n and result alone
2. divide by the number next to the variable since you have to get the variable alone in order to find out what it is. you divide because you have to do the opposite of what the variable IS doing.
3. get the result lol
*WORTH 100 POINTS*
What is the value of x?
Enter your answer in the box.
Answer:
39
Step-by-step explanation:
sum of interior angles of a triangle is 180
180-(102+39)=x
180-141=x
39=x
Answer:
39
Step-by-step explanation:
it should all add up to 180
102 + 39 = 141
180 - 141 = 39
The model below shows the product of two fractions. Which expression does the
model represent?
12
13
16
3
х
16
Rachel paid $25.50 for three t-shirts. What was the unit price of the t-shirts?
A:$7.65 per shirt
B:$8.05 per shirt
C:$8.50 per shirt
D:$9.50 per shirt
Answer:
C
Step-by-step explanation:
You do $8.50 Times 3 to get $25.50
Which of the following expressions is equivalent to the expression 2(7x+3)
Answer:
14x+6 and (7x+7)+(3+3)
Step-by-step explanation:
MQN is 17 and arc OP is 104. What is the measure of arc MPO?
12 sheets of paper out of 28
PLZ HELP ME
Which expression is a factor of 16x^2-81
I will mark brainliest
A: 8x-9
B: 4x-9
C:8x-81
D: 4x-81
Answer:
B- 4x-9
Step-by-step explanation:
that's the answer
alternate exterior angles, corresponding, interior
Answer:
alternate exterior angles= 1,7 and 2,8 corresponding, interior 3,6 and 4,5
Rowan started school in 1999. Kira
started school 8 years after Rowan.
Which equation could be used to find
the year y in which Kira started school?
A y - 8 = 1999
BY + 8 = 1999
Cy+ 8 = 1999
Dy x 8 = 1999
A rental car agency charges $16 per day plus 14 cents per mile to rent a certain car. Another agency charges $23 per day plus 10 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?
a) 175 miles per day
b) 1750 miles per day
c) 97.5 miles per day
d) 975 miles per day
Answer:
Step-by-step explanation:
The answer is 175 miles per day. I guessed on it and it was right :D
The number of miles per day that will have to be driven for the total cost of of a car from the first agency to equal the total cost of a car from the second agency is 175.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A rental car agency charges $16 per day plus 14 cents per mile to rent a certain car. Therefore, we can write,
Total charge for x miles = $16 + $0.14(x)
Another agency charges $23 per day plus 10 cents per mile to rent the same car. Therefore, we can write,
Total charge for x miles = $23 + $0.10(x)
Since it is needed to be found the number of miles that the car should be traveling so that the total cost from both the agencies is the same. Thus, equate the equation together,
$16 + $0.14(x) = $23 + $0.10(x)
16 + 0.14x = 23 + 0.10x
0.14x - 0.10x = 23 - 16
0.04x = 7
x = 7 / 0.04
x = 175 miles per day
Hence, the number of miles per day that will have to be driven for the total cost of of a car from the first agency to equal the total cost of a car from the second agency is 175.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
the height of the lighthouse is 36.5 m. find the distance of the ship from the lighthouse if it is visible from the ship at an angle of 1 °.
Answer:
I don't get it send a pic of the question Please I will see if I can help
For the question, calculate the slope of a line that passes through the points given. Remember to reduce all fractions to lowest terms.
(-14, 18), (-16, 14)
Answer:
the answer is 2 or 2/1 hope this helps
Answer:
In fraction form, the slope is 2/1.
Or, the slope is just 2.
Step-by-step explanation:
Using the equation:
m =
y2 - y1 /
x2 - x1
Plug in the x and y points and solve.
note: m = slope in slope intercept form, y - mx + b
y2 = 14 y1 = 18
x2 = -16 x1 = -14
14 - 18 / -16 -(-14)
-4 / -2
Simplified: -2 / -1
In fraction form, the slope is -2 / -1, or 2/1 because either way works.
Or, the slope is just 2.
Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe, and please mark brainliest! :)
A pair of shoes is on sale for 80% of the original price. The sale prive is $60. What was the original price?
Answer:
75
Step-by-step explanation:
You will set the equation up as part/whole = percent/100 and when you replace it with your numbers you get 60/x = 80/100 now you cross multiply and do 60*100 = 80 * x and you get 6,000 = 80x now you divide both sides by 80 then you get 75 was the original price
What is the equation of the line passing through (-7,0) and (0,14)
Answer:
y = 2x + 14
Step-by-step explanation:
Which fractions have a least common denominator of 12? 1 A.2 and 3 2 B. 1 5 and 2 6 1 C. 5 and 9 5 1 D.2 and 3 4
which of the following is not necessary to book a flight
a) credit card
b) arrival city
c) drivers license
d) date of travel
The option C. Driver's License is not necessary to book a flight.
What is Driver's License?Driver's License is an official document given to a person who is permitted to drive vehicle on the road.
This is usually given after certain tests including Physical driving and other general knowledge of driving.
Now, when we book a flight, credit card can be used to book a flight, but not necessary.
But there is a chance than you can use the credit card.
Arrival city is necessary when you book a flight because then only other procedures will follow.
Similarly, date of travel is also required in order to book the flight on a particular day.
So the least necessary document is Driver's License.
Hence Driver's License is not necessary to book a flight.
To learn more about Booking a Flight, click :
https://brainly.com/question/30019956
#SPJ7
help!! slove for x, 13x + 47 = 151
Answer:
Step-by-step explanation:
13x + 47 = 151
subtract 47 from both sides
13x = 104
divide by 13 on both sides
x = 8
how do you solve (7x + 5) - (3x + 2)
Answer:
x = 0.75
Step-by-step explanation:
Simplifying
(7x + -5) + -1(3x + -2) = 0
Reorder the terms:
(-5 + 7x) + -1(3x + -2) = 0
Remove parenthesis around (-5 + 7x)
-5 + 7x + -1(3x + -2) = 0
Reorder the terms:
-5 + 7x + -1(-2 + 3x) = 0
-5 + 7x + (-2 * -1 + 3x * -1) = 0
-5 + 7x + (2 + -3x) = 0
Reorder the terms:
-5 + 2 + 7x + -3x = 0
Combine like terms: -5 + 2 = -3
-3 + 7x + -3x = 0
Combine like terms: 7x + -3x = 4x
-3 + 4x = 0
Solving
-3 + 4x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 4x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 4x = 0 + 3
4x = 0 + 3
Combine like terms: 0 + 3 = 3
4x = 3
Divide each side by '4'.
x = 0.75
Simplifying
x = 0.75
Answer:
When solving equations like this, you have to use a method called PEMDAS.
This stands for:
P- ParentesisE- ExponentsM- MultiplyD- DivideA- AdditionS- Subtraction(7x + 5) - (3x +2)
Let's work it out...
Step one) Distribute the equation
Distributing the equation helps simplify it and make solving much easier.
(7x−5) − 1(3x−2)
(7x−5) − 3x + 2
Step two) Eliminate the Parenthesis
Now that the equation is simplified, you can take out the Parenthesis.
(7x − 5) − 3x + 2
7x − 5 − 3x + 2
Step three: Add the numbers
Add the two whole numbers together (-5 + 2)
7x − 5 − 3x + 2
7x − 3 − 3x
Step four: Combine like terms
Combine like terms or the numbers with variables (7x - 3x)
7x − 3 − 3x
4x − 3
Solution
4x - 3Hope this helped! :)
WILL MARK BRAINLIEST IF EXPLAINED! G with FA and FE tangent at A and E.
Find mADB Find mABD Find mAFE Find mACE
PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER! :)
Answer:
angle ADB = 41 degrees
angle ABD = 90 degrees
angle AFE = 70 degrees
angle ACE = 31 degrees
Step-by-step explanation:
angle ADB = 41 degrees because minor arc AB = 82 degrees and it's inscribed angle is 1/2 of it's arc.
angle ABD = 90 degrees because arc AED = 180 degrees and inscribed angles are equal to 1/2 of the arc.
arc ABD = 180
arc ABE = arc ABD + 70 degrees = 250 degrees
minor arc AE = 360 degrees-250 degrees = 110 degrees
angle AFE = 1/2 (250-110) = 70 degrees
angle ACE = 1/2(110-48) = 31 degrees