Answer:
Step-by-step explanation:
commission = 0.7% of $12,500
= 0.007×$12,500
= $87.5
Find the least common multiple of 14 and 22.
Hey can anyone help me solve this
Answer:
24
Step-by-step explanation:
Answer and Step-by-step explanation:
I think the answer is 48.
We should add the 12 and 4, then multiply by 3. The 16 times 3 is to get the original amount of candies. To check, we go through the process using the number 48.
48 times 1/3 is 16. 4 of them are given to the brother, which leaves us with 12 remaining candies.
#teamtrees #PAW (Plant And Water)
In a recent survey for an upcoming city mayoral election, people were asked to name the political party they identified with and also the
the candidate they were going to vote for.
• Of the 150 people who identified themselves as Democrats, 133 said they would vote for the Democratic candidate. The rest said to
vote for the Republican.
. Of the 160 people who identified themselves as Republican, 142 said they would vote for the Republican candidate. The rest said ti
vote for the Democrat.
Complete the two-way frequency table for this situation.
B I u X
x
Font Sizes
A
А
E E 3 E3
Identify Party
Democrat Republican Total
Democratic
Voted
Republican
Total
Characters used: 89 / 15000
Submit
This question is solved using relative frequency concepts, finding the following two way frequency table, with the - separating the values:
0.4290 - 0.0540 - 0.4839
0.0581 - 0.4581 - 0.5161
0.4871 - 0.5121 - 1
-------------------------------------------------------------------------------
Relative frequency:
The relative frequency of a to b is given by a divided by b.
-------------------------------------------------------------------------------
Democratic:
Total of 150 + 160 = 310 voters.
Of the 150 Democrats, 133 voted for the Democrat and 150 - 133 = 17 voted for the Republican.
The frequencies are:
[tex]\frac{133}{310} = 0.4290, \frac{17}{310} = 0.0548[/tex]
Proportion of democratic voters is:
[tex]\frac{150}{310} = 0.4839[/tex]
Thus, the first line is: 0.4290 - 0.0540 - 0.4839
-------------------------------------------------------------------------------
Republican:
Of the 160 Republicans, 142 voted for the Republican and 160 - 142 = 18 voted for the Democrat.
The frequencies are:
[tex]\frac{18}{310} = 0.0581, \frac{142}{310} = 0.4581[/tex]
The proportion of republican voters is:
[tex]\frac{160}{310} = 0.5161[/tex]
Thus, the second line is: 0.0581 - 0.4581 - 0.5161
-------------------------------------------------------------------------------
Third line:
0.4290 + 0.0581 = 0.4871
0.0540 + 0.4581 = 0.5121
0.4839 + 0.5161 = 1
Thus, the third line is: 0.4871 - 0.5121 - 1
-------------------------------------------------------------------------------
Two-way frequency table:
The two-way frequency table is:
0.4290 - 0.0540 - 0.4839
0.0581 - 0.4581 - 0.5161
0.4871 - 0.5121 - 1
A similar question is given at: https://brainly.com/question/24337228
Answer:
Democratic 133 18 151
Republican 17 142 159
Total 150 160 310
Step-by-step explanation:
An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 47.0. Assume the population standard deviation is known to be 1.9. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
Test statistic = 1.664
Step-by-step explanation:
The hypothesis :
H0 : μ = 47.2
H1 : μ ≠ 47.2
Given that :
Sample mean, xbar = 47
Sample size, n = 250
Standard deviation, σ = 1.9
The test statistic :
(xbar - μ) ÷ (σ/√(n))
T = (47 - 47.2) ÷ (1.9/√(250))
T = (0.2 / 0.1201665)
Test statistic = 1.664
Solve for x.
−4x + 60 < 72 OR 14x + 11 < −31
Choose 1 answer:
A) x < -3 or x > -3
B) x > -3
C) x <- 3
D) There are no solutions
E) All values of x are solutions
Answer:
A. x < -3 or x > -3
Step-by-step explanation:
Let's start with the equation -4x + 60 < 72.
-4x + 60 < 72
First using the order of operations, subtract 60 from both sides.
-4x + 60 - 60 < 72 - 60
- 4x < 12
Next we want to divide -4 from both sides to isolate the variable.
-4x/-4 < 12/-4
x > -3
When you divide a negative number, always make sure the change the sign.
Solve the next equation, 14x + 11 < -31, the same way we solved the last.
14x + 11 < -31
Subtract 11 from both sides.
14x + 11 - 11 < -31 -11
14x < -42
Divide 14 from both sides.
14x/14 < -42/14
x < -3
The equations have different signs.
A. x < -3 or x > -3
Joe is on the phone with a gardener who asked about the square feet of Joe’s back yard Joe counts 20 steps long and 40 steps wide with each step been about 3 feet about how many square feet is the back Yard
Answer:
The area of the yard is 7200 square feet.
Step-by-step explanation:
You just multiply your step count by 3. So 20 would be 60 and 40 would be 120. Multiply your results and you get 7200 square feet.
Digits to write five hundred seven billion,six hundred forty million,seven hundred forty-two thousand,seventy two
At which times could Rory's phone have been plugged into the charger? Select three options.
Answer:
what three options bro where are the options
Answer:
9 hours, 11 hours, 19 hours.
lvnununuunkmviodjoifmvujibg ibzf
r
Answer:
speaking giberish
Step-by-step explanation:
cos it is just a word that is rare
1) A book contains 192 pages. A boy reads x complete pages everyday.if he has not finished the book after 10days, find the highest possible value of x
9514 1404 393
Answer:
19
Step-by-step explanation:
After x days, the boy will have read 10x. If this is less than 192, we have ...
10x < 192
x < 192/10
x < 19.2
If x is an integer, the largest possible value x could have is 19.
How do you expand ln(1/49^k)
Answer:
There are a few rules that we can use here:
ln(a^x) = x*ln(a)
ln(a) - ln(b) = ln(a/b)
ln(1) = 0
So here we want to expand:
ln(1/49^k)
First we can use the second property to get:
ln(1/49^k) = ln(1) - ln(49^k)
using the third property, we have:
ln(1/49^k) = ln(1) - ln(49^k) = 0 - ln(49^k)
ln(1/49^k) = - ln(49^k)
Now we can use the first property to get:
ln(1/49^k) = - k*ln(49)
Now we can use the fact that:
49 = 7*7 = 7^2
then:
- k*ln(49) = -k*ln(7^2) = -2*k*ln(7)
So we have:
ln(1/49^k) = (-2*ln(7))*k
We can expand it anymore because this is a real number "(-2*ln(7))" times a variable k.
The cost, c, for mailing books is a function of the number of books, b. The
cost to mail books is $0.50 per book plus a $3.00 flat fee
Answer:
c = 3.00 + .50b
Step-by-step explanation:
The cost is the flat fee plus the cost per book times the number of books
c = 3.00 + .50b
Simplify the given equation.
6 - (3x+10) + 4(2 - x) = 15
O 4-7 x = 15
O4 - 4 x= 15
O 12 - 7 x= 15
Answer:
-7x-11
Step-by-step explanation:
expand brackets
6-3x-10+8-4x=15
4-7x=15
move 15 to left side
-7x-11
Answer:
4-7x=15
Step-by-step explanation:
[tex]6 - (3x + 10) + 4(2 - x) = 15 \\ 6- 3x - 10 + 8 - 4x = 15 \\ - 7x = 15 + 10 - 8 - 6\\ - 7x = 11 \\ the \: same \: one \: is \\ 4 - 7x = 15[/tex]
Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of more than 20 hours each week. A random sample of 35 students were asked to keep a diary of their activities over a period of several weeks. It was found that the average number of hours that the 35 students studied each week was 21.1 hours. The sample standard deviation of 4.3 hours.
Find the p-value.
The p-value should be rounded to 4-decimal places.
Answer:
0.0698
Step-by-step explanation:
Given :
Population mean, μ = 20
Sample mean, xbar = 21.1
Sample standard deviation, s = 4.3
Sample size, n = 35
The hypothesis :
H0 : μ = 20
H0 : μ > 20
The test statistic :
(xbar - μ) ÷ (s/√(n))
T = (21.1 - 20) ÷ (4.3/√(35))
T = 1.1 ÷ 0.7268326
Test statistic = 1.513
Using the Pvalue calculator :
df = n - 1 = 35 - 1 = 34
Pvalue(1.513, 34) = 0.06976
Pvalue = 0.0698 (4 decimal places)
The p-value is 0.0698 if rounded to 4-decimal places.
It is given that students study an average of more than 20 hours each week and the random sample of 35 students was asked to keep a diary of their activities over a period of several weeks.
The average number of hours that the 35 students was 21.1 hours.
The sample standard deviation is 4.3 hours.
It is required to find the p-value.
What is the standard deviation?It is defined as the measure of data dispersement, It gives an idea about how much is the data spread out.
We can test the hypothesis using the Z test, the formula for the Z-test is given below:
[tex]\rm Z= \frac{(x-u)}{\frac{S}{\sqrt{n} } }[/tex]
Where x is the sample mean
u is the population mean
s is the standard deviation
n is the sample size.
The hypothesis are: H0 : μ = 20 V/s H1 : μ > 20
We have x = 21.1
u = 20
s = 4.3
n = 35
Putting these values in the above formula, we get:
[tex]\rm Z= \frac{(21.1-20)}{\frac{4.3}{\sqrt{35} } }\\\\\rm Z= \frac{(1.1)}{\frac{4.3}{\sqrt{35} } }\\\\[/tex]
Z = 1.513
difference or df = n -1 ⇒ 35-1 ⇒ 34
P-value at (1.513, 34) = 0.06976 (From the p-value calculator)
P-value = 0.0698 (Rounded to 4-decimal places)
Thus, the p-value is 0.0698 if rounded to 4-decimal places.
Learn more about the standard deviation here:
brainly.com/question/12402189
A hole the size of a photograph is cut from a red piece of paper to use in a picture frame. On a coordinate plane, 2 squares are shown. The photograph has points (negative 3, negative 2), (negative 2, 2), (2, 1), and (1, negative 3). The red paper has points (negative 4, 4), (4, 4), (4, negative 4), and (negative 4, negative 4). What is the area of the piece of red paper after the hole for the photograph has been cut? 17 square units 25 square units 39 square units 47 square units Mark this and return
Answer:
its d 47
Step-by-step explanation:
yep yep
Answer:
D: 47
Step-by-step explanation:
Edge 2022
Fred the farmer had a piece of land shown in which he planted vegetables.
i) calculate the length of wire needed to fence the garden if he plans to put two layers of wire around the garden.
ii) what is the area of the vegetable garden?
Answer:
i) 154m
ii) 495m^2
Step-by-step explanation:
2 layers around the garden = 2*perimeter = 2(10+20+12+35) = 2(77) = 154
shape is a trapezium, area = h(a+b)/2 = 18(20+35)/2 = 495
Circled one please help
Formula-
If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}
Symbol that can be used-
The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".
Hope it helps you... pls mark brainliest if it helped you.
Write –0.38 as a fraction.
Answer:
-19/50
Step-by-step explanation:
Answer:
-19/50
Step-by-step explanation:
What is the volume of this rectangular pyramid?
______ cubic feet
Answer:
Step-by-step explanation:
L = 4 ft
W = 3 ft
H = 7 ft
volume = LWH/3 = 28 ft³
Evaluate. 3(4/5) 64 125 16 25 O 12 15 O I don't know.
When you evaluate [tex]3(\frac{4}{5})[/tex] you will have [tex]\frac{12}{5}[/tex]
In this exercise, you're required to evaluate the given whole number and fraction [tex]3(\frac{4}{5})[/tex]
First of all, you will notice that there is a bracket which signifies multiplication. Therefore, we would open up the bracket by multiplying the two numbers.
Opening the bracket;
[tex]3 * \frac{4}{5}[/tex]
Multiplying the whole number by the numerator;
[tex]3(\frac{4}{5}) = \frac{12}{5}[/tex]
Find more information on how to evaluate mathematical expressions: https://brainly.com/question/24373783
While organizing the magazines at the doctor's office, Camille put 12 magazines in the first pile, 15 magazines in the second pile, 18 magazines in the third pile, 21 magazines in the fourth pile, and 24 magazines in the fifth pile. If this pattern continues, how many magazines will Camille put in the sixth pile?
Answer:
27
Step-by-step explanation:
since you are adding 3 to the pile each time, on the 6th pile you would have 27 because 24 + 3 = 27
Find m2 ABD.
A
D
40°
B
C
SOMEONE PLEASE HELP ME WITH THIS AND EXPLAIN EACH ONE AND HOW YOU DID IT PLEASE MY TEACHER SUCK AND ILL GIVE YOU BRAINLY IF U GET IT RIGHT!!!!
Answer:
a)
d)
Step-by-step explanation:
It's easiest to reduce each statement to its simplest form for comparison
Our test statement can be reduced by combining like terms
16x - 12 -24x + 4 = -8x - 8
this becomes our new gold standard
a) 4 + 16x - 12(1 + 2x)
apply the distributive property by multiplying terms in parenthesis by -12
4 + 16x - 12 - 24x
combine terms
-8x - 8 Yeaah, We have a winner as it exactly matches our gold standard.
b) 40x - 16 is already in simplest terms and does NOT match the gold standard.
c) 16x - 24x - 4 + 12
has the same cardinal values as the original, but differing signs, reducing gives -8x + 8
Not quite the same as a plus sign occurs where a negative exists in our gold standard.
d) -8x - 8 is already in simplest terms and exactly matches our gold standard. Yeah!
e) 10(1.6x - 1.2 - 2.4x + 4)
apply distributive property by multiplying each term in parenthesis by 10
16x - 12 - 24x + 40
combine like terms
-8x + 28 does NOT match our gold standard
what is the answer for this question?
1. Dayne has three investment portfolios: A, B and C. Portfolios A, B and C together are worth a total of $175000, portfolios A and B together are worth a total of $143000, while portfolios A and C together are worth a total of $139000.
Use Cramer’s Rule to find the value of each portfolio.
Answer:
The correct answer is:
Portfolio A = $107,000
Portfolio B = $36,000
Portfolio C = $32,000
Step-by-step explanation:
According to the question,
[tex]A+B+C=175000[/tex]...(1)
[tex]A+B = 143000[/tex]...(2)
[tex]A+C=139000[/tex]...(3)
Now,
From (1) and (2), we get
⇒ [tex]Portfolio \ C = (1)-(2)[/tex]
[tex]=175000-143000[/tex]
[tex]=32000[/tex]...(4)
From (1) and (3), we get
⇒ [tex]Portfolio \ B =(1)-(3)[/tex]
[tex]=175000-139000[/tex]
[tex]=36000[/tex]...(5)
From (1), (4) and (5), we get
⇒ [tex]Portfolio \ A = (1)-(4+5)[/tex]
[tex]=175000-(36000+32000)[/tex]
[tex]=175000-68000[/tex]
[tex]=107000[/tex]
Thus the above is the correct answer.
For the function y=f(x), find f’(a)
Answer:
-1/4
Step-by-step explanation:
f(x) = 1/(x+1)
f(a) = 1/(a+1)
f'(a) = {(a+1)×d/da (1) - d/da (a+1) × 1}/(a+1)²
f'(a) = {(a+1)×0 - 1×1}/(a+1)²
f'(a) = (0-1)/(a²+2a+1)
f'(a) = -1/(1+2a+a²)
putting a = 1
f'(a) = -1/(1+2+1)
f'(a) = -1/4
Solve for d.
d - 5
———- = -1
-3
Answer:
d = 8
Step-by-step explanation:
(d-5)/ -3 = -1
Multiply each side by -3
(d-5)/ -3 *-3 = -1*-3
d-5 = 3
Add 5 to each side
d-5+5 = 3+5
d = 8
Concord Company purchased a machine on July 1, 2021, for $29,400. Concord paid $210 in title fees and county property tax of $131 on the machine. In addition, Concord paid $525 shipping charges for delivery, and $499 was paid to a local contractor to build and wire a platform for the machine on the plant floor. The machine has an estimated useful life of 6 years with a salvage value of $3,150.
Answer:NONE
Step-by-step explanation:
No question asked
Factor: x^3-2x^2-8x
1. (x-4)(x+2)
2. x(x+4)(x-2)
3. x(x-4)(x+2)
4. (x-4)(x^2+2x)
Answer:
x( x-4)(x+2)
Step-by-step explanation:
x^3-2x^2-8x
First factor out the greatest common factor x
x( x^2 -2x -8)
What 2 numbers multiply to -8 and add to -2
-4*2 = -8
-4+2 = -2
x( x-4)(x+2)
Given: ABCD is a trapezoid,
AB= 13, CD = 14,
BC = 5, and AD= 20.
Find: A
ABCD
Answer:
A=13×13
=169sqr.units
How do I solve this?
The question is somewhat poorly posed because the equation doesn't involve θ at all. I assume the author meant to use x.
sec(x) = csc(x)
By definition of secant and cosecant,
1/cos(x) = 1/sin(x)
Multiply both sides by sin(x) :
sin(x)/cos(x) = sin(x)/sin(x)
As long as sin(x) ≠ 0, this reduces to
sin(x)/cos(x) = 1
By definition of tangent,
tan(x) = 1
Solve for x :
x = arctan(1) + nπ
x = π/4 + nπ
(where n is any integer)
In the interval 0 ≤ x ≤ 2π, you get 2 solutions when n = 0 and n = 1 of
x = π/4 or x = 5π/4
