Answer:
The total earning of commission on sales of 85, 000 will be:
[tex]3500+1050=4550[/tex]
Step-by-step explanation:
Total sales earning = 85,000As salesperson earns 5% commission the first 70,000.
[tex]\frac{5}{100}\:\times \:70\:000=3500[/tex]
As the salesperson earns 7% commission on the sales over 70,000.
As 15000 is the sales earning on which he will get commission 7%.
Because
85,000 - 70,000 = 15000So the 7% earning of salesperson will on 15000 will be:
[tex]\:\frac{7}{100}\:\times \:15\:000=1050[/tex]
Therefore, the total earning of commission on sales of 85, 000 will be:
[tex]3500+1050=4550[/tex]
Marco calculated that he could run a 5K race in 28 minutes. His actual time was 26 minutes. What is the percent error in his estimation? Round to the nearest tenths place. I NEED THIS ASAP PLZ HELP
Answer:
7.70%
Step-by-step explanation:
Total length of race = 5k
Actual time taken to run the race = 26 minutes
Marcos time = 28 minutes
Percentage error = difference in value / actual time × 100
= (28 - 26) / 26 × 100
= 2 / 26 × 100
= 0.077 × 100
= 7.70%
Answer:
7.7 or 7.70
Step-by-step explanation:
Step-by-step explanation:
Total length of race = 5k
Actual time taken to run the race = 26 minutes
Marcos time = 28 minutes
Percentage error = difference in value / actual time × 100
= (28 - 26) / 26 × 100
= 2 / 26 × 100
= 0.077 × 100
= 7.70%
Please help me. What are 2 numbers that multiply to be -36 and add up to be 5?
Answer:
-4 and 9
Step-by-step explanation:
-4 + 9 = 5
-4 x 9 = -36
find the primter of a traingle( the numbers around
it are 1/3 1/5 and 1/8) ASAP PLZ
Answer:
79/120
Step-by-step explanation:
Answer:
79/120
Step-by-step explanation:
You make all the answers to have the same denomination and then add them.
Victoria wants to take her friends to a movie. She can spend less than $150. The movie ticket costs $10 each, and she also wants to spend $20 for popcorn. What is the possible number of friends she can take to the movie?
Answer:
5
Step-by-step explanation:
A food server records the total bill and the amount of the tip received by 5 individuals who dined alone. Here are the data: Total $4.50 $5.79 $6.25 $4.62 $6.35 Tip $0.75 $1.00 $0.75 $0.58 $1.00 (a) Is there a clear explanatory variable and response variable in this setting? If so, tell which is which. If not, explain why not. b) Make a scatterplot of these data on your work document. (c) Based on the scatterplot, describe the relationship between the total bill and tip received for these 5 customers. (d) The correlation r between the total bill and tip received is r = 0.67. Explain how this confirms the description from part (c). (e) How would r change if all the total bill amounts were reduced by 10%? tip received was measured in cents rather than dollars? (f) Suppose another customer whose total bill was $5.15 tipped $0.75. How would including this point influence r? Justify your answer without performing any calculations.
Answer:
(a) There is not a clear explanatory variable and response variable
(b) Please find attached the scatterplot created with Microsoft Excel
(c) There is some relationship between the total bill and tip received
(d) The correlation value of r = 0.67, reaffirm that there is an amount of positive correlation between the total bill and the tip received
(e) The correlation will remain positive, and will increase
(ii) The correlation will remain constant
(f) The correlation and r will increase marginally
Step-by-step explanation:
(a) The given parameters are;
Total [tex]{}[/tex] Tip
$4.50 [tex]{}[/tex] $0.75
$5.79 [tex]{}[/tex] $1.00
$6.25 [tex]{}[/tex] $0.75
$4.62 [tex]{}[/tex] $0.58
$6.35 [tex]{}[/tex] $1.00
From the given data, the relationship between the variables are not clear as the lowest and the second highest total give the same amount as tip, the second lowest receive the lowest tip and the median value of the total and the highest value give the same value of tip
Therefore, there is not a clear explanatory variable and response variable
(b) Please find attached the scatterplot
(c) Based on the scatterplot, as the total bill increases, the response the tip increases, therefore, there is some relationship between the total bill and tip received
(d) The correlation value of r = 0.67, reaffirm that there is an amount of positive correlation between the total bill and the tip received
(e) (i)Whereby the total bill were reduced by 10% each, we have, that the correlation will remain positive, and will increase
(ii) Whereby the tip received were measured in cents rather than dollars, the correlation will remain constant
(f) When the total bill of another customer whose bill is $5.15 and tipped $0.75 is added, we have three customers out of six that give an equal tip, therefore, the correlation and r will increase marginally
Creating a linear regression model of the given data, the necessary deductions required to solve the problems posed. Hence, the solutions are as follows :
A.)
The explanatory variable is not very obvious as we have similar measured or predicted value for two different data points in the data.
B.)
The scatterplot of the relationship is attached with Total being the independent and tips being the dependent variable.
C.)
The scatter plot shows a positive association or relationship between total and tips.
D.)
The Correlation Coefficient gives the strength and direction of the relationship between two variables. Hence, 0.67 is positive and shows a fairly strong association.
E.)
A reduction in total bill by 10% would still depict an increase in the tips as based on the total bill amount.
If tips was measured in cent and not dollars, then, the the value of r will remain the same, as the unit of a variable has no effect on the correlation Coefficient.
F.)
The addition of a point with total bill of 5.15 and tip amount of 0.75 will strengthen the existing relationship. Hence, the value of R will increase slightly.
Learn more :https://brainly.com/question/18405415
A golf course charges $16 for a package including the full 18-hole course. The course also sells buckets of
golf balls for $21 each. The golf course would like to earn $555 by the end of the day.
Enter a linear equation that describes the problem.
An equation for the amount of money earned by the golf course is = $555, where c is the
number of course packages purchased, and b is the number of buckets of balls purchased.
16x + 21y = 555
Step-by-step explanation:
Let x be the no. of 18-hole course
And y be the no. of golf balls
16x + 21y = 555
plz help
One real-world problem that is solved by an equation
James has twin sisters (who are the same age, of course). James is 12. If the combined ages of James and his twin sisters equal 42 years, how old are his sisters?
Answer:
15
Step-by-step explanation:
With the two twins sister in mind we be dividing the difference of James's age with the combined ages
42-12/2
= 30/2
= 15
The age of his two sisters are 15
question 6 please help me ill give brainliest answer
Answer:
d
Step-by-step explanation:
because it makes sense and is proportional
Parallelogram R S T U is shown. Angle S is 70 degrees.
What are the missing angle measures in parallelogram RSTU?
m∠R = 70°, m∠T = 110°, m∠U = 110°
m∠R = 110°, m∠T = 110°, m∠U = 70°
m∠R = 110°, m∠T = 70°, m∠U = 110°
m∠R = 70°, m∠T = 110°, m∠U = 70°
Answer:
B. m∠R = 110°, m∠T = 110°, m∠U = 70°Step-by-step explanation:
The opposite angles of the parallelogram are the same.
From the diagram;
<S = <U and <R = <T
Given
<S = 70°
Since <S = <U, hence <U = 70°
Since the sum of angles in a quadrilateral is 360 degrees, hence;
<R+<S+<T+<U = 360
Since <R = <T, then;
<Y+<S+<T+<U = 360
2<T + 70+70 = 360
2<T = 360-140
2<T = 220
<T = 220/2
<T = 110°
Since <T = <R, then < R = 110°
Hence m∠R = 110°, m∠T = 110°, m∠U = 70°. Option B is correct
Answer:
b.) on edg.
Step-by-step explanation:
just did it
good luck!
4-inch-by-6-inch frame. What is the area, in
square inches, of the part of the photograph that was
-
into a
DO YO
cut off?
A 2
B. 10
C. 11
D. 12
E. 24
What theorems can be used to prove the triangles are congruent?
SSS
ASA
AAS
HL
Answer:
1.) SAS | 2.) HL | 3.) HL | 4.) SSS (Not too sure about this one)
Step-by-step explanation:
HELP ME PLEASE 30 points !!
Answer:
(0,1.5) (0,-3)
Step-by-step explanation:
Hope it helps :)
whats 1+1?
I would also like an explanation on how you found the answer too thanks
Answer:
2
Step-by-step explanation:
1x = [tex]\frac{d}{dx} \frac{1}{2}x^2[/tex]
[tex]\frac{d}{dx} \frac{1}{2}x^2[/tex]+ [tex]\frac{d}{dx} \frac{1}{2}x^2[/tex]= [tex]\frac{d}{dx} }x^2[/tex]
[tex]\frac{d}{dx} }x^2[/tex] = 2x
2x/x = 2
0.6 can be written as the fraction
Answer:
0.6 = [tex]\frac{6}{10}[/tex]
Convert the improper fraction to a mixed number and simplify to its lowest 8/3=2. /3
[tex] \frac{8}{3} = 2 \times \frac{?}{3} [/tex]
Answer:
8/3 = 2 x 4/3
Step-by-step explanation:
help me
I need someone..
plss
Answer:
b
Step-by-step explanation:
Answer:
a. very likely
b. 0 to 1
c. less than 0
Step-by-step explanation:
please mark as brainliest
Andy installs shelving. He uses 0.2 ounces of wood glue for every yard of shelving. Which statement is true?
1. Andy uses between 2 and 3 ounces of glue to install 85 yards of shelving
2. Andy uses between 10 and 15 ounces of glue to install 38 yards of shelving
3. Andy issues between 15 and 20 ounces of glue to install 92 yards of shelving
4. Andy uses more than 25 ounces of glue to install 50 yards of shelving
Answer:
3
Step-by-step explanation:
92x0.2=18.4
18.4 is between 15 and 20
Considered a graph below
Answer: [tex]y=-\frac{5}{4} x+5[/tex]
Step-by-step explanation:
Please mark brainliest if this helped :)
Answer
the answer is y=2x-x
What is the slope for 5x+2y=6
Answer:
The slope is -5/2 as a fraction
or -2.5 as a decimal.
Step-by-step explanation:
First we have to get it into this format y = mx + b
5x + 2y = 6 (subtract 5x on both sides)
2y = -5x + 6 (divide by 2 on both sides)
y = -5/2x + 3
The slope is -5/2 or -2.5
Hope this helps ya!!
Antione swam 42 laps in 7 minutes. Frank swam 48 laps in 8 minutes. Are
these rates equivalent? Explain your reasoning.
Yes, these rates are equivalent because the unit rate of 9 laps per minute matches
each rate.
No, the unit rates are not equivalent.
O Yes, these rates are equivalent because the unit rate of 6 laps per minute matches
each rate.
Yes, these rates are equivalent because the unit rate of 8 laps per minute matches
each rate.
9514 1404 393
Answer:
Yes, these rates are equivalent because the unit rate of 6 laps per minute matches each rate.
Step-by-step explanation:
In each case we have ...
laps/minutes = (42 laps)/(7 minutes) = 6 laps/minute = (48 laps)/(8 minutes)
Yes, the rates are both 6 laps/min, so are equivalent.
The number of gallons of water in the pool is a function of
time in minutes.
In this function, which variable is independent?
O number of gallons of water
O time, 8 minutes
9514 1404 393
Answer:
time
Step-by-step explanation:
When you see wording ...
A is a function of B
it means that B is the independent variable.
Here, you have ...
gallons ... is a function of time ...
so the independent variable is time.
You are trying to decide between two different gyms. The cost for GloboGym includes a monthly fee of $24.00 plus $.50 per visit. The monthly cost for Average Joe’s is $32 with unlimited visits.
Answer:
i dot kniw
Step-by-step explanation:
3y + 4x =15
y = 2x² – 3x +5
Answer:
(0,5)
(5/6,35/9)
Step-by-step explanation:
A student took a test with 35 questions, they received a 78% on the test. How many questions did they answer correctly?
Answer:
27
Step-by-step explanation:
what is 23 to the 4th power times 5
Answer:
1399205
Step-by-step explanation:
Worth 30 points!!!! Will mark brainliest!! Please help!!!!!!
The Jackson Family started a small business. The equation y=5.9x-19.5 models the business's cash value, in thousands of dollars, X years after they started their business.
Which statement best explains what the y-intercept of the equation means?
A. The Jackson's lost $19,500 every year they were in business.
B. The Jackson's lost $19,500 the first year they were in business.
C. The Jackson's started their business with a debt of $19,500.
D. The Jackson's lost $19,500 every 5.9 years.
Which Correlation is most likely a causation?
A. The positive Correlation between the number of skiers and snowboarders on a mountain.
B. The positive Correlation between the number of typing classes a student takes and the number of words per minute the student can type.
C. The positive Correlation between the sales of cell phones and the sales of televisions in a store.
D. The positive Correlation between the number of shopping carts at a store and the number of cash registers in the store.
Answer:
C and B
Step-by-step explanation:
in x=5.9x-19.5 the y int is -19.5 (y=mx+b m = slope b =y int)
According to the information they earn 5.9 of something "every payday" and the y int is them starting out. The only logical answer is C for the first question because every other answer involves slope and not starting value.
For the second one it is B i think since causation means cause to effect or ratio. They are the only values that make since because they are related to eachother.
Sorry for the bad spelling if you need any more information please ask in comments :)
The answers of question 1 and question 2 are option C and B respectively.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
Given equation,
y = 5.9x - 19.5
And we have the slope intercept form
y = mx + b,
where m is the slope and b is the y-intercept.
Comparing above of both the equation,
Here, the y intercept is -19.5 and the slope is 5.9
According to the information they earn 5.9 of something "every payday" and the y intercept is them starting out.
The answer is C for the first question because every other answer involves years that means slope and not starting value.
For the second one,
answer is B i think since causation means cause to effect or ratio.
The positive Correlation between the number of typing classes a student takes and the number of words per minute the student can type.
Relation is directly related to each other.
Therefore, the answers of question 1 and question 2 are option C and B respectively.
To learn more about the slope;
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Sam read 6 chapters in 2 hours. If he continues to read at this same rate, how many chapters will he read in 1 day?
Answer:
He will read 72 chapters in 1 day
Step-by-step explanation:
Let us use the ratio method to solve this question
∵ Sam read 6 chapters in 2 hours
∵ He continues to read at this same rate for 1 day
→ We must change the day to hours
∵ 1 day = 24 hours
∴ We need to find how many chapters he will read in 24 hours
→ Chapter : Hour
→ 6 : 2
→ x : 24
→ By using cross multiplication
∵ x × 2 = 6 × 24
∴ 2x = 144
→ Divide both sides by 2
∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{144}{2}[/tex]
∴ x = 72
∴ He will read 72 chapters in 1 day
Write the system so both equations are in slope-
intercept form: y = mx + b.
2y = -3x - 8
2y + 3x = 6
I
a) 2y = -3x -8
dividing through by 2
y = -3x/2 -4
b) 2y + 3x = 6
2y = -3x +6
dividing through by 2
y = -3x/2 + 3
please mark me brainlest
PLLLLEEEEEEAAASSSSSSSSEEEE
help it is easy but I am just tired
Determine which of the lines, if any are perpendicular.
Line a passes through (2, 10) and (4, 13).
Line b passes through (4, 9) and (6, 12).
Line c passes through (2, 10) and (4, 9).
Given:
Line a passes through (2, 10) and (4, 13).
Line b passes through (4, 9) and (6, 12).
Line c passes through (2, 10) and (4, 9).
To find:
Which of the lines, if any are perpendicular.
Solution:
If a line passes through two points, then the slope of line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Line a passes through (2, 10) and (4, 13). So, slope of this line is
[tex]m_a=\dfrac{13-10}{4-2}=\dfrac{3}{2}[/tex]
Line b passes through (4, 9) and (6, 12). So, slope of this line is
[tex]m_b=\dfrac{12-9}{6-4}=\dfrac{3}{2}[/tex]
Line c passes through (2, 10) and (4,9). So, slope of this line is
[tex]m_c=\dfrac{9-10}{4-2}=\dfrac{-1}{2}[/tex]
Product of slopes of to perpendicular lines is -1.
[tex]m_a\cdot m_b=\dfrac{3}{2}\times \dfrac{3}{2}=\dfrac{9}{4}\neq -1[/tex]
[tex]m_b\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1[/tex]
[tex]m_a\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1[/tex]
Therefore, any of these lines are not perpendicular to each other.
If The Base Of A Triangle Is 6 cm And Its Hypotenuse Is 10cm, Then Find Its Area Pls Reply ASAP
the awnser would be 24cm^2