The equation of the car rental company in the form y = kx is; y = 18.50x
The equation y = kx is such that;
y = dependent variablex = independent variablek = constant of proportionality.In essence; to determine the constant of proportionality, k in this case;
k = y/xSince the company charges, $55.50 for 3 days; we have;
By evaluation k = $55.50/3
k = 18.50.A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant
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1.Mr. Redding sells vehicles to 40% of the people that come to the sales lot. If 165 people came to the lot last month, how many vehicles did he sell?
The claim is that for 10 am body temp of males the mean is less than 98.6 f the sample size is n = 38 and the test statistic is t=-3.768
Answer:
See below
Step-by-step explanation:
The null hypothesis would be [tex]H_o:\mu\leq98.6[/tex] which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°
The alternate hypothesis would be [tex]H_1:\mu>98.6[/tex] which would suggest that the mean body temperature for males is greater than 98.6°
The test statistic, t, is given to us as [tex]t=-3.77[/tex], rounded to 2 decimal places
We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.
Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.
The null hypothesis is rejected since the p-value shows that it is unlikely to be true.
What is the hypothesis?In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.
As per the given question, the required solution would be as:
A) Hypothesis test :
The null and alternative hypothesis is
Hi : u = 98.6
Ha : u < 98.6
B) Test statistic is t = -3.831
C) sample size, n= 31
degree of freedom,
df = n -1 = 31 - 1 = 30
P-value = p(t < -3.831 )
= 0.0003 (from t table)
d) P-value < 0.10, reject the null hypothesis.
is, support
As a result, because our p-value is less than our significance level of =0.01, there is insufficient evidence to support the assertion that the mean body temperature for men at 10 AM is less than 98.6°F.
Thus, we reject the null hypothesis since the p-value shows that it is unlikely to be true.
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im stuck on this problem can someone help me? (see photo)
Answer:
I'm thinking the anwer is B
Step-by-step explanation:
I remember doing this problem before :)
Solve for r.
-70 +1 > 22
OR
102 +41 81
Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 21 gallons of gasoline to travel 399 miles. How many miles can the car travel if it has 28 gallons of gasoline
Answer:
6 gallons of gasoline
Step-by-step explanation:
1 gallon = 24 miles
you need to get 144 miles
144 divided by 24 = 6
there fore you need 6 gallons
hope it helps
What does "?" equal?
Answer:320
Step-by-step explanation:
Write an equation in point-slope form of
the line that has a slope of 2 and passes
through point (5,-3).
Answer:
(y+3)=2(x-5)
Step-by-step explanation:
I don’t even know the answer to this one plz help me
Answer:
You would multiply -11 by 9/4
This is because they are on opposite sides of the equation, and 9/4 is connected to a variable.
Convert an area 75000m2 to hectares
Answer:
10000m2 =1 hectare
75000m2 = 75000/10000 hectares
=75/10hectares
=7.5hectares
note:1 hectare =10 000m2
Hope this helps!!PLEASE HELP ME 20 POINTS
Determine the x- and y-intercepts of the graph of X-4y=8
Answer:
x- intercept = 8 , y- intercept = - 2
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
x - 4(0) = 8
x - 0 = x
x = 8 ← x- intercept
To find the y- intercept, let x = 0 in the equation and solve for y
0 - 4y = 8
- 4y = 8 ( divide both sides by - 4 )
y = - 2 ← y- intercept
7x+1/3=2 2/3
Help me please
an item is regularly priced at $20. It is on sale for 70% off the regular price. What is the sale price?
Answer:
6 dollars
Step-by-step explanation:
Hope this helps. :))
Please answer this. I need and will give
The graph of the line y= 3 is a line that has which of the following characteristics?
O parallel to the y -axis
O passing through the point (5,0)
O parallel to the x-axis
O passing through the origin
The characteristics of the horizontal line graph, y = 3 is that it is:
c. parallel to the x-axis
Recall:
The equation of a horizontal line graph is represented as y = k; where k is the point on the y-axis intercepted by the line.Horizontal line graph is always parallel to the x-axis.The graph of the line, y = 3 is shown in the diagram attached below. From the graph, k is 3 (on the y-axis) and it is parallel to the x-axis.
Therefore, the characteristics of the horizontal line graph, y = 3 is that it is:
c. parallel to the x-axis
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Which expressions are equivalent to
-1/3(12-9+6x)
Answer:
-2x-1
Step-by-step explanation:
first you simplify what is inside the parenthesis to get: -1/3(6x+3)
then, you distribute the -1/3 to each of the numbers inside the parenthesis to get: -2x-1
What is the perimeter, in meters (m), of ∆PRT?
The perimeter of a triangle is the sum of its dimensions
The perimeter of triangle PRT is 36 meters
Start by calculating the side length PT using the following equivalent ratios
[tex]\mathbf{QR : QS = PR :PT}[/tex]
So, we have:
[tex]\mathbf{3 : 8 = 6 :PT}[/tex]
Multiply 3 : 8 by 2
[tex]\mathbf{6 : 16 = 6 :PT}[/tex]
By comparing the ratios, we have:
[tex]\mathbf{PT = 16}[/tex]
So, the perimeter of triangle PRT is calculated using:
[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]
Substitute values for PR, RT and PT
[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]
Add up the figures
[tex]\mathbf{Perimeter = 36}[/tex]
Hence, the perimeter of triangle PRT is 36 meters
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Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students earned more that $104 per week?
Answer:
2.28%Step-by-step explanation:
Given:
μ = 80σ = 12x = 104Find z-score:
z = (x - μ)/σz = (104 - 80)/12 = 2Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.
Percentage of students earned more than $104:
100 - 97.72 = 2.28how can i show the value that 1/10 of 0.5
Answer:
[tex]\frac{1}{10} * 0.5 = 0.05[/tex]
Step-by-step explanation:
The problem asks "what is the value of _____ of _______"
Step 1: Know The word "of" means to multiply.
So you just need to multiply the first number by the second number.
Example:
The value of 1/6 of 4 is 1/6 * 4 = 2/3.
I need help plz it’s for school plz plz
Answer:
y = 3x + 1
Step-by-step explanation:
5
x
:
8
=
7
:
2
Calculate the value of x
.
Give your answer in its simplest form.
Answer:
Step-by-step explanation:
5x:8=7:2
5x/8=7/2
By Cross Multiplication:
10x=56
x=56/10
x=28/5
If you need to ask any question,please let me know.
Rewrite the following equation in slope-intercept form.
y − 3 = 12( x + 4)
Answer:
y=12x+51
Step-by-step explanation:
Geometry problem, Name the angle pair relationship and then determine which lines must be parallel based on the angles given If they do not prove lines parallel, write none.
Answer:
see below
Step-by-step explanation:
a) 1 = 4 they are corresponding angles when j and k are parallel
b) 3 + 4 = 180 these just lies on same straight line and they add up to 180 so none
c) 5 + 7 = 180 are consecutive interior angles when k and l are parallel
d) 6 = 7 they are alternate interior angles when k and l are parallel
and refer this link for theory on this topic
https://www.ixl.com/math/lessons/transversals-of-parallel-lines
PLZ HELP 100 POINTS AND DUE TODAY I WILL BE SO GRATEFUL!!
Answer:
A) 15(20x14) = 4,200
Step-by-step explanation:
20 pounds each day per horse
so 2 weeks is 14 days
which means 20x14
then there are 15 horse
so 15(20x14)
4,200
A store sells 4 cans of soup for $9. How much would it cost you to buy 5 cans of soup?
Answer:
$11.25
Step-by-step explanation:
4 x 5 = 20
9 x 5 = 45
20/4 = 5
45/5 = 11.25
Plz solve. I will give 50 points for whoever gets it right.
Answer:
This is like multiplication you solve this question and then you can solve the equation
draw the graph of y=2x+3 on the grid
Solve the system.
y-x=4
x+y=6
Answer:
x=1 y=5
Step-by-step explanation:
y=4+x
x=y=6
x+4+x=6
y=4+x
2x+4=6
y=4+x
2x=2
y=4+x
x=1
y=4+x
y=5
x=1
what is the answer for k=6x+100
Answer:
x = k/6 - 50/3
Step-by-step explanation:
K=6x+100
--> Swap sides so that all variable terms are on the left hand side.
6x+100=k
--> Subtract 100 from both sides.
6x=k−100
--> Divide both sides by 6.
6x/6 = k-100/6
--> Dividing by 6 undoes the multiplication by 6.
x = k-100/6
--> Divide k−100 by 6.
Answer : x = k/6 - 50/3
Hope this helps you!
need 8&9 urgently!!!
Answer:
8.x=7
7.x=12
Step-by-step explanation:
8.The two Base angles are equal
7. The exterior(outside) angle is equal to the sum of the two interior(inside) angles.
[tex]\bold{ \sqrt{12} \times \sqrt{12} }=[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent value is ~
[tex] \boxed{12}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex] \sqrt{12} \times \sqrt{12} [/tex][tex] \sqrt{2 \times 2 \times 3} \times \sqrt{2 \times 2 \times 3} [/tex][tex] \sqrt{2 \times 2 \times 3 \times 2 \times 2 \times 3} [/tex][tex]2 \times 2 \times 3[/tex][tex]12[/tex]