Answer:
That answer is 1.814
Step-by-step explanation:
Tristan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let
P
P represent Tristan's total pay on a day on which he sells
x
x dollars worth of computers. The table below has select values showing the linear relationship between
x
x and
P
.
P. Determine the percentage commission Tristan makes on his daily sales.
Answer:
[tex]m = 1.5\%[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine his percentage commission
To do this, we need to calculate the slope (m) of the table as follows:
[tex]m = \frac{P_2 - P_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,P_1) = (7000,165)[/tex]
[tex](x_2,P_2) = (7500,172.5)[/tex]
[tex]m = \frac{P_2 - P_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{172.5 - 165}{7500- 7000}[/tex]
[tex]m = \frac{7.5}{500}[/tex]
[tex]m = 0.015[/tex]
Convert to percentage
[tex]m = 0.015 * 100\%[/tex]
[tex]m = 1.5\%[/tex]
Hence, his percentage commission is 1.5%
f(x)=2x^2 -5 , simplify f(x+h)/h , where h≠0
Answer:
[tex]\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}}[/tex]
[tex]\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2-5}{h}+4x+2h}[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-5\\\\\dfrac{f(x+h)}{h}=\dfrac{2(x+h)^2-5}{h}=\dfrac{2(x^2+2xh+h^2)-5}{h}\\\\\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}\\\\h\neq0[/tex]
Molly scored 86, 87, 93, and x
on her four history tests. If her
average for the four tests was 91,
what is the value of x?
Answer:
98
Step-by-step explanation:
Average is the sum of all data points divided the number of data points.
In this specific situation, the average test score, 91, is equal to the sum of Molly's four individual test scores divided by the number of test Molly had, 4.
(( 86 + 87 + 93 + x) / 4) = 91
86 + 87 + 93 + x = 91/4
86 + 87 + 93 + x = 364
x = 364 - 93 - 87 - 86 = 98
There are three modes of transporting material from Ontario to Florida, namely, by land, sea, or air. Also land transportation may be by rail or highway. About half of the materials are transported by land, 30% by sea, and the rest by air. Also, 40% of all land transportation is by highway and the rest by rail shipments. The percentages of damaged cargo are, respectively, 10% by highway, 5% by rail, 6% by sea, and 2% by air. (1) What percentage of all cargoes may be expected to be damaged? (2) If a damaged cargo is received, what is the probability that it was shipped by land? By sea? By air?
Answer:
0.057
0.6140
0.3158
0.0701
Step-by-step explanation:
Given that:
Let :
P(L) = Number transported by land = half = 50% = 0.5
P(S) = number transported by sea = 30% = 0.3
P(A) = Number transported by air = (100 - (50 + 30))% = 20% = 0.2
P(H) = highway transport = 40% of land transport = 0.4 * 0.5 = 0.2
P(R) = Rail shipment =(100- 40)% = 60% of land transport = 0.6 * 0.5 = 0.3
Percentage of damaged cargo :
Let probability of damage = P(d)
P(d | H) = 0.1
P(d | R) = 0.05
P(d | S) = 0.06
P(d | A) = 0.02
1) What percentage of all cargoes may be expected to be damaged
[P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]
(0.1*0.2) + (0.05*0.3) + (0.06*0.3) + (0.02*0.2) = 0.057
(2) If a damaged cargo is received, what is the probability that it was shipped by ;
land?
([P(d | H)*p(H)] + [P(d | R)*p(R)]) / [P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]
((0.1*0.2) + (0.05*0.3)) / (0.1*0.2) + (0.05*0.3) + (0.06*0.3) + (0.02*0.2)
= 0.035 / 0.057
= 0.6140
By sea?
[P(d | S)*p(S)] / [P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]
(0.06 * 0.3) / 0.057
= 0.3158
By air?
[P(d | A)*p(A)] / [P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]
(0.02 * 0.2) / 0.057
= 0.0701
Donna rides her bike at a rate of 192 miles per hour. How many miles can Donna travel in 13 of an hour?
Answer: 27miles
Step-by-step explanation:
multiply192 by 0.13=27
Suppose we wish to demonstrate that there is a difference between the proportions of wives and husbands who do laundry at home. From a random sample of 66 randomly selected wives, we observe 44 who do laundry at home. From a random sample of 46 husbands, we observe 18 who do laundry at home. Test the claim that the proportion of wives, p 1 , who do laundry at home is different from the proportion of husbands, p 2 , who do laundry at home. Use a 1% significance level.
Answer:
Step-by-step explanation:
From this study:
The null hypothesis:
[tex]H_o : p_1 =p_2[/tex]
The altenative is:
[tex]H_a : p_1 \ne p_2[/tex]
This test is a two-tailed test.
However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.
Then;
[tex]\hat p_1 = \dfrac{44}{66}[/tex]
[tex]\hat p_1 = 0.6667[/tex]
Similarly, the husbands have 18 success out of 46, then the number of failures will be 28
Then:
[tex]\hat p_2 = \dfrac{18}{46}[/tex]
[tex]\hat p_2 = 0.3913[/tex]
The pooled proportion [tex]p = \dfrac{18+44}{66+46}[/tex]
[tex]p = \dfrac{62}{112}[/tex]
p = 0.55357
The estimated standard error S.E is:
[tex]= \sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}[/tex]
= [tex]\sqrt{ 0.55357(1-0.55357) \Big( \dfrac{1}{66} + \dfrac{1}{46} \Big)}[/tex]
[tex]=\sqrt{ 0.55357(0.44643) \Big(0.01515 + 0.021739 \Big)}[/tex]
[tex]=\sqrt{ 0.00911638798}[/tex]
= 0.0955
The Z test statitics can now be computed as:
[tex]Z = \dfrac{ \hat p_1 - \hat p_2}{\sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}}[/tex]
[tex]Z = \dfrac{0.6667 -0.3913}{0.0955}[/tex]
Z = 2.88
Th p -value from the test statistics is:
p-value = 2P(Z > 2.88)
p- value = 2 P (1 - Z < 2.88)
p-value = 2 ( 1 - 0.998)
p-value = 2 ( 0.002)
p -alue = 0.004
Decision Rule:
Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)
Conclusion:
We conclude that there is a significant difference between the proportions.
What is the value of x in the equation below?
⅗ = x/30
A. 6
B. 9
C. 10
D. 18
Answer:
D. 18
Step-by-step explanation:
3÷5=0.6
0.6×30=18
x=18
please make me Brainliest and follow me
Answer:
The value of x in the equation below is 18.
Step-by-step explanation:
We can use proportions to solve this. Cross-multiply then divide.
[tex] \frac{3}{5} = \frac{x}{30} \\ \\ \frac{5x}{5} = \frac{90}{5} \\ \\ x = 18[/tex]
A store pays $675.58 for a rowboat. The store marks up the price by 10%. What is the amount of the mark-up? Round your answer to the nearest cent: $
Answer:
743.1
Step-by-step explanation:
675.58 • 1.10 = 743.138
743.138 rounded to the nearest tenth is 743.1.
given that (ax^2 + bx + 3) (x+d) = x^3 + 6x^2 + 11x + 12, it asks a + 2b - d = ?
Answer:
a+2b-d=1, 3, 5, 7
Step-by-step explanation:
(ax^2+bx+3)(x+d)
ax^3+bx^2+3x+adx^2+bdx+3d
ax^3+bx^2+adx^2+3x+bdx+3d=x^3+6x^2+11x+12
ax^3=x^3, a=1
bx^2+adx^2=6x^2
x^2(b+ad)=6x^2
b+ad=6
b+(1)d=6
b+d=6
------------
3x+bdx=11x
x(3+bd)=11x
3+bd=11
-----------------
b=6-d
3+(6-d)d=11
3+6d-d^2=11
3-11+6d-d^2=0
-8+6d-d^2=0
d^2-6d+8=0
factor out,
(d-4)(d-2)=0
zero property,
d-4=0, d-2=0
d=0+4=4,
d=0+2=2
b=6-4=2,
b=6-2=4.
------------------
a+2b-d=1+2(2)-2=1+4-2=5-2=3
-------------------
a+2(4)-4=1+8-4=9-4=5
-----------------------
a+2(2)-4=1+4-4=5-4=1
-----------------------
a+2(4)-2=1+8-2=9-2=7
Answer:
[tex]a+2b-d=1[/tex]
Step-by-step explanation:
We are given that:
[tex](ax^2+bx+3)(x+d)=x^3+6x^2+11x+12[/tex]
And we want to determine:
[tex]a+2b-d[/tex]
So, we will determine our unknowns first.
We can distribute our expression:
[tex]=(ax^2+bx+3)x+(ax^2+bx+3)d[/tex]
Distribute:
[tex]=ax^3+bx^2+3x+adx^2+bdx+3d[/tex]
Rearranging gives:
[tex]=(ax^3)+(bx^2+adx^2)+(bdx+3x)+3d[/tex]
Factoring out the variable yields:
[tex]=(a)x^3+(b+ad)x^2+(bd+3)x+d(3)[/tex]
Since we know that our expression equals:
[tex]x^3+6x^2+11x+12[/tex]
This means that each of the unknown terms in front of each variable corresponds with the coefficient of the resulting equation. Therefore:
[tex]\begin{aligned} a&=1\\ b+ad&=6\\bd+3&=11\\3d&=12\end{aligned}[/tex]
Solving the first and fourth equation yields that:
[tex]a=1\text{ and } d=4[/tex]
Then the second and third equations become:
[tex]b+(1)(4)=6\text{ and } b(4)+3=11[/tex]
And solving for b now yields that:
[tex]b=2\stackrel{\checkmark}{=}2[/tex]
Therefore, we know that:
[tex]a=1, b=2\text{ and } d=4[/tex]
For the equation:
[tex](x^2+2x+3)(x+4)=x^3+6x^2+11x+ 12[/tex]
Then the expression:
[tex]a+2b-d[/tex]
Can be evaluated as:
[tex]=(1)+2(2)-4[/tex]
Evaluate:
[tex]=1+4-4=1[/tex]
Hence, our final answer is 1.
5 plus 5 euqals what number help
Answer:
10
Step-by-step explanation:
lol
...its 10
Step-by-step explanation:
1+1+1+1+1= 5
1+1+1+1+1= 5
5+5=10
16.437 rounded to the nearest hundredth is 16.43 True or False? (I was just checking if this was false I think its true)
(A) Police plan to enforce speed limits by using radar trapsat 4 different locations within the city limits. The radar traps ateach of the locations L1, L2, L3, and L4 are operated 40%, 30%,20%, and 30% of the time, and if a person who is speeding on hisway to work has probabilities of 0.2, 0.1, 0.5, and 0.2,respectively, of passing through these locations, what is theprobability that he will receive a speeding ticket?
(B) The person received a speeding ticket on his way towork, so what is the probability that he passed through the radartrap located at L2?
Answer:
0.27
0.1111111
Step-by-step explanation:
Given that:
X :
L1 = 40% = 0.4
L2 = 30% = 0.3
L3 = 20% = 0.2
L4 = 30% = 0.3
P(x) :
L1 = 0.2
L2 = 0.1
L3 = 0.5
L4 = 0.2
A.)
Σ(X * p(x))
(0.4 * 0.2) + (0.3*0.1) + (0.2*0.5) + (0.3 * 0.2) = 0.27
B.) Radartrap located at L2:
P(L2) = (L(x2) * p(L2)) / Σ(X * p(x))
= (0.1 * 0.3) / 0.27
= 0.1111111
Plss i need help! this is 6th grade math.
7 inches = 17.78 cm
Step-by-step explanation:
I looked it up
Answer:
17.78
Step-by-step explanation:
Each inch is 2.54cm.
We will first multiply 2.54 into 7 inches, since it is asking us for the centimeters, then our work should now look like this: 2.54 x 7 = 17.78
We can check our work by dividing the sum by the number in our equation.
17.78/7= 2.54
REAL-WORLD PROBLEM. Joshua's cell phone bill can be represented by
y = 0.15x + 5 and Jayson's cell phone bill is given by y = 0.20x + 25, where x is the
number of text messages each sends in a month. Interpret the meaning of 0.15 and
0.20 in these equations, and describe the difference between the graphs of the
functions.
HELP ASAP PLSSSSS
Answer:
Step-by-step explanation: 0.15 and 0.2 are the slope of the line on the graph. The graph of the equation reading y = 0.20x + 25 would show a steeper line bc the bigger the slope the steeper the line.
PLEASE HELP PRE CALCLUS
Hi, can you help me answer this question (−3x + 7) − (4x − 8)
Answer:
Let's simplify step-by-step.
−3x+7−(4x−8)
Distribute the Negative Sign:
=−3x+7+−1(4x−8)
=−3x+7+−1(4x)+(−1)(−8)
=−3x+7+−4x+8
Combine Like Terms:
=−3x+7+−4x+8
=(−3x+−4x)+(7+8)
=−7x+15
Answer:
=−7x+15
Step-by-step explanation:
Answer:
15+7x
Step-by-step explanation:
(−3x+7)−(4x−8)
To find the opposite of 4x−8, find the opposite of each term.
−3x+7−4x−(−8)
The opposite of −8 is 8.
−3x+7−4x+8
Combine −3x and −4x to get −7x.
−7x+7+8
Add 7 and 8 to get 15.
−7x+15
SOMEONE PLEASE HELP ME ASAP!!!!!!!!!!!!!
answer is 10
if not then im srry
what is the solution to 3/4a>-16
Answer:
Here is the answer also just for the future look up variable calculator :) hope it helps!
Step-by-step explanation:
If 100 beach umbrellas have a mass of 865.2kg what is the mass of each umbrella
Answer:
8.652kg
Step-by-step explanation:
100 beach umbrellas = 865.2kg
1 beach umbrella = 865.2/100 kg
1 beach umbrella = 8.652kg (Ans)
Can u choose if it is primary or secondary please and get it right.
Answer:
secondary
Step-by-step explanation:
9,240 yd= how many mi?
Answer:
5.25 miles
Step-by-step explanation:
Answer:
There is 5.25 miles in 9,240 yards
Step-by-step explanation:
1 mile is equal to 1760 yards, so the equation would be
9240/1760 = 5.25
The measure of an exterior angle of a polygon is 10 degrees. How many sides does the
polygon have?
Factor 125 + b^3 completely
Answer:
( 5 + b ) ( 25 − 5 b + b 2 )
Step-by-step explanation:
( a + b ) ( a ^2 − a b + b ^2 ) where a = 5 and b = b .
Which is the coefficient in the expression 7x + 14?
Answer:
7
Step-by-step explanation:
A coefficient is the number before a variable (x, y, z...etc).
c/4 = -8
c=?
I am very anxious, if you know the answer, please do tell me, thank you.
A premature infant weighing 3lbs is ordered to 1 milligram per gram of a drug. How many milligrams should you administer to the patient?
Answer:
1360.78 mg
Step-by-step explanation:
3 pounds in grams is 1360.78 grams.
so, 1 mg per gram would mean the baby should recieve 1360.78 mg of the drug.
PLese help now please
Answer:
1, 2, and 4
Step-by-step explanation:
can someone please help me
Answer: 19
Step-by-step explanation:
I need help i dont understand any of this
Step-by-step explanation:
multiply all the fractions together in your calculator :)
What is 0.000435 in scientific notation?
A. 4.35 • 10/6
B; 4.35 • 10/4
C; 4.35 • 10/6
D; 4.35 • 10/4
Answer:B; 4.35 • 10/4
Step-by-step explanation: