Answer:
The equation for renting a car is ;
y = 3.5x + 220
where y is the rental cost and x is the number of miles driven
The cost of rising 388 miles is $1,578
Step-by-step explanation:
88 miles cost $428 while 158 miles cost 673, now we want to create an equation that represents renting a car from Hertz
We can make this in form of a plot with us having 2 data points here.
let the value y represent the cost of driving and x represent the number of miles driven.
So the kind of relationship we want to establish is a linear one that looks like ;
y = mx + c
Now let’s calculate the slope m with the two data points
The two points are; (88,428) and (158,673)
So the slope would be; (673-428)/(158-88) = 245/70 = 3.5
So what is left is the y intercept. To find this , we can make use of any of the two data points
Let’s say (88,428) in this case , so we have
528 = 88(3.5) + c
c = 528-88(3.5) = 528 - 308 = 220
So this means that our equation takes the form;
y = 3.5x + 220
where y represents the cost of traveling and x represents the number of miles driven
Now to the second part of the question, we want to know the cost of driving 388 miles
Just substitute the value 388 into the equation
y = 3.5(388) + 220
y = 1358+ 220 = $1,578
For a class, Mrs. Hawk brought
in 7 different packages of
colored pens. The teacher
randomly selects 2 packages.
How many different
combinations are there?
Answer:
14
Step-by-step explanation:
7x2=14
A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 12 members and any member can be elected to each position? No person can hold more than one office.
Answer:
1320 setsStep-by-step explanation:
This problem brothers on selection without repetition, so we will be using permutation to solve this problem.
Given
n= 12 ,which is the number we are choosing from
r= 3, which is the number of committee(president, vice-president, and secretary-treasurer.)
[tex]= \frac{n!}{(n-r)!}[/tex]
Substituting we have
[tex]= \frac{12!}{(12-3)!}\\\\ = \frac{12!}{(9)!}\\\\= \frac{12*11*10*9!}{9!}[/tex]
[tex]= 12*11*10= 1320[/tex]
Does this graph show a function? Explain how you know.
5
-5
-5
A. No; there are y-values that have more than one x-value.
B. No; the graph fails the vertical line test.
C. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.
Answer:
Option (C).
Step-by-step explanation:
To check a graph whether it's a function or not we use a vertical line test. In this test first we draw a vertical line on the given graph. If this line intersects the graph at more than one point, the graph is not a function.
In the given parabola, opening upwards passes the vertical line test.
Therefore, this graph shows a function.
Option (C) will be the answer.
Option (c) Yes; the graph passes the vertical line test. And
(d) Yes; there are no y-values that have more than one x-value are correct options. Hence, a given graph is a function.
This is a graph of [tex]y = x^2[/tex]
Which is a graph of parabola.
To determine the given graph is a function or not, we do a vertical line test.
The vertical line test says that if a vertical line intersects a graph more than once, then that graph is not a function. And in this case, y-values have more than one x-values.
Let’s draw a vertical line in the given graph (attached below)
We see that the vertical line touches the graph only at once. That’s why it is a function, and so there are no y-values that have more than one x-value.
Hence, the given graph is a function and option (3) and (4) are correct options.
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WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the normal distribution. The mean of the distribution is 15.0 minutes and the standard deviation is 3.5 minutes. What is the probability that a particular listener will tune in:
Complete question :
WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the normal distribution. The mean of the distribution is 15.0 minutes and the standard deviation is 3.5 minutes. What is the probability that a particular listener will tune in:
a. More than 20 minutes? b. For 20 minutes or less
Answer: 0.0764 ; 0.9236
Step-by-step explanation:
Mean (m) = 15 minutes
Standard deviation (sd) = 3.5
Z - score :
Z = (x - m) / sd
A) more than 20 minutes
P(X > 20) ; x = 20
Z > (20 - 15) / 3.5 = 5/3.5 = 1.429
P(z > 1.429) = 0.5 - P(0<z<1.43)
Using the z-table: 1.43 = 0.4236
0.5 - 0.4236 = 0.0764
2) 20 minutes or less :
P(X <= 20) ; x = 20
Z < (20 - 15) / 3.5 = 5/3.5 = 1.429
P(z < 1.429) = 0.5 + P(0<z<1.43)
Using the z-table: 1.43 = 0.4236
0.5 + 0.4236 = 0.9236
Simplify
Pls help......
Answer:
5
Step-by-step explanation:
(0.000064)^5/6 divided by (0.00032)^6/5
(0.00032)^6/5=(0.000064)
and
(0.000064)^6/5=(0.00032)
so now we have (0.00032) divided by (0.000064)
which is 5!
hope this helps!
Answer: yes
Step-by-step explanation: no
write down as decimal.
Answer:
iii) 5.7
iv) 27.85
vii) 0.609
viii) 40.0709
Step-by-step explanation:
hope this helps
If f(x) = -8x - 6 and g(x) = x+8 , what is (f • g) (- 7)
Answer:
hello:
Step-by-step explanation:
If f(x) = -8x - 6 and g(x) = x+8 , (f • g) (- 7)= f(g(-7))
but g(-7)=-7+8=1
(f • g) (- 7)= f(1) =-8(1)-6 =-14
The mean annual tuition and fees for a sample of 11 private colleges was $26,500 with a standard deviation of $6,000. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $31,000.
i). State the null and alternate hypotheses.
ii). Compute the value of the test statistic and state the number of degrees of freedom.
iii). State a conclusion regarding H. Use the a = 0.05 level of significance.
Answer:
Step-by-step explanation:
Given that:
Sample size n = 11
Sample Mean X = 26500
standard deviation = 6000
Population mean [tex]\mu[/tex] = 31000
the null and alternate hypotheses are being stated as follows:
[tex]H_o : \mu = 31000[/tex]
[tex]H_1 : \mu \neq 31000[/tex]
The value of the test statistic can be computed as:
[tex]Z = \dfrac{\bar x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \dfrac{26500 - 31000}{\dfrac{6000}{\sqrt{11}}}[/tex]
[tex]Z = \dfrac{-4500}{\dfrac{6000}{3.3166}}[/tex]
Z = −2.4875
Z = −2.49
The degree of freedom df = n- 1
The degree of freedom df = 11 - 1
The degree of freedom df = 10
At the level of significance ∝ = 0.05
[tex]t_{\alpha/2}[/tex] = 0.025
From the t distribution table at [tex]t_{\alpha/2, 10}[/tex] and critical value = -2.49;
The p-value = 0.0320
Decision Rule: Reject null hypothesis if p -value is lesser than the level of significance
Conclusion:We reject the null hypothesis , therefore, we conclude that there is no sufficient information to that the mean tuition and fees for private colleges is different from $31,000
5. Over what interval is the following graph DECREASING? *
Answer:
(3, 13)
Step-by-step explanation:
The curve decreases from x = 3 to x = 13.
Answer: (3, 13)
Can you help me plz
Answer:
[tex]\boxed{\sf y=6}[/tex]
Step-by-step explanation:
There are 5 identical squares.
The area of one square is [tex]\sf s^2[/tex].
[tex]\sf{y^2 } \times \sf{5}[/tex]
[tex]\sf 5y^2[/tex]
The area of the whole shape is 180 cm².
[tex]\sf 5y^2=180[/tex]
Solve for y.
Divide both sides by 5.
[tex]\sf y^2=36[/tex]
Take the square root on both sides.
[tex]\sf y=6[/tex]
which of the following shows 210 angles in standard position
The 210 angles in the standard position are shown in figure (A) option (A) is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle."
It is given that:
The measure of the angle:
= 210 degrees
The reference angle can be defined as the angle formed between the terminal side and the x-axis, known as the reference angle.
The angle between the x-axis and the y-axis is 90 degrees.
The angle between the y-axis and the negative x-axis is 90 degrees.
The angle between the negative x-axis and the arrow shown in the coordinate plane is 30 degrees.
Thus, the 210 angles in the standard position shown in figure (A) option (A) is correct.
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HELP ASAP MATH PLS!!!!!
Answer:
A
Step-by-step explanation:
We know that because the second plane flies 15 miles less, it has to be either A or B, because they have -15 at the end.
It cannot be B, because in B, the second plane has a -w in the equation. However, in the word problem, the second plane flies with the wind, not against it. Therefore, it must be A.
The radius of a cylindrical water tank is 5.5 ft, and it’s height is 10 ft. What is the volume of the tank?
Answer:
950.33 ft³
Step-by-step explanation:
The volume of a cylinder is denoted by: V = πr²h, where r is the radius and h is the height.
Here, the radius is r = 5.5 ft and the height is h = 10 ft. Plug these into the formula:
V = πr²h
V = π * 5.5² * 10 ≈ 950.33 ft³
The answer is thus 950.33 ft³.
~ an aesthetics lover
fins the zeroes of the quadratic equation : 4√ 5 x^ 2 - 24x - 9√ 5
10th grade Cbse chapter 2 : Polynomials
pls give the step by step explanation so that i can understand
Answer:
Step-by-step explanation:
Hello,
First of all, we know that the solution of the following equation
[tex]ax^2+bx+c=0[/tex]
are
[tex]\dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \ \text{ when } \Delta=b^2-4ac \geq 0[/tex]
I would suggest that you try to apply this formula first and check the solution only after you try.
Let's apply it in this case, we have:
[tex]a=4\sqrt{5} \\ \\ b=-24 \\ \\ c= -9\sqrt{5}[/tex]
[tex]\Delta=b^2-4ac=24^2+4*9*5=1296 \\ \\ \sqrt{\Delta}=36 \ \text{ and the solutions are } \\ \\ \\ x_1=\dfrac{24-36}{8\sqrt{5}}=\dfrac{-12}{8\sqrt{5}}=\boxed{\dfrac{-3}{2\sqrt{5}}} \\ \\x_2=\dfrac{24+36}{8\sqrt{5}}=\dfrac{60}{8\sqrt{5}}=\boxed{\dfrac{15}{2\sqrt{5}}}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
the numbers of cars pf various colors in a parking lot
Answer: The speed of a car as it changes during a time.
B is the best example of continuous data.
Step-by-step explanation: The contrast between the definitions of continuous data vs. discreet data is that discrete data is counted, continuous data is measured.
A speedometer measures speed continuously, time is measured continuously.
Time can, however, be reported as discreet measurements in situations where that kind of data is needed. (not in this question)
A Number of cars is discreet.
Data from different workers or different days is not continuous.
Helppppp pleaseeeeee
Answer:
(2, 2), (5, 3), (9, 4), and (13, 5).
Step-by-step explanation:
The inverse of a function makes it so that the x-values become y-values, and y-values become x-values.
The current coordinates are (2, 2), (3, 5), (4, 9), and (5, 13).
If the function were inversed, the coordinates would be (2, 2), (5, 3), (9, 4), and (13, 5).
Hope this helps!
I am really confused... Please help me solve this question!
I hope this helps you
In packing for a trip, Sarah puts three pairs of socks - one red, one blue, and one green - into one compartment of her suitcase. If she then pulls four individual socks out of the suitcase, simultaneously and at random, what is the probability that she pulls out exactly two matching pairs
Answer:
1/5 or 20%
Step-by-step explanation:
This problem can be easily solved by finding the probability of her picking one matching pair to leave in the suitcase (which results in pulling out exactly two matching pairs)
For the first sock, it does not matter what sock she picks.
For the second sock, there is only 1 out of the 5 socks left that would match the first one picked. Therefore, the probability that she pulls out exactly two matching pairs is 1/5 or 20%
In a scale drawing of a rectangular deck, the
length is 10 inches and the width is 8 inches. In
the drawing, 4 inches represents 3 yards. What
is the length of the actual deck, in yards?
Answer:
45
Step-by-step explanation:
10/4x3=7.5
8/4x3=6
6x7.5=45yards
i need both answers pls !!
PLEASE help me with this question with solutions
Answer:
D
Step-by-step explanation:
the inscribed angle intersects an arc that twice the measure of the arc interested by the central angle. The inscribed angle's arc measures 144° and the central angle's arc measures 72°
>central angle and the arc the intersected arc are equal i.e they are both 72°
>the inscribed angle is half of the measure of the intersected arc i.e since the inscribed angle is 72° the arc interested is 144°
For one of the quadrilaterals: the corner are not the right angles, the quadrilateral has rotational symmetry of order 2 and the diagonals cross at the right angles. Write down the name of this quadrilateral
Answer:
Rhombus.
Step-by-step explanation:
A rhombus is a quadrilateral, meaning that it has four lateral sides. A Rhombus is a 2-dimensional shape, and has two lines of symmetry. A Rhombus has a rotational symmetry of order two, and the opposite sides are parallel. Also, the opposite angles in Rhombus are equal. Th diagonals of a Rhombus bisect each other at a right angle.
Other quadrilateral shapes includes the Rectangle, Parallelogram, and the Kite.
divide 0.377 ÷ 2.9 dosto please solve it
Find the value of each trigonometric ratio.
Answer: 40/41
Step-by-step explanation:
The cosine can be represented as adjacent/hypotenuse. Thus, the cosine of C is 40/41
Answer:
[tex] \frac{40}{41} [/tex]Solution,
BC = 40
AC = 41
Now,
[tex]cos \: theta \: = \frac{adjacent}{hypotenuse} [/tex]
[tex]cos \: c \: = \frac{bc}{ac} [/tex]
Plugging the values
[tex]cos \: c \: = \frac{40}{41} [/tex]
Hope this helps..
Good luck on your assignment..
PLEASE HELP THANK YOUUUU Your group has $120 available for the banquet. Any other costs must be covered from selling tickets for the event. You decided to take care of the major cost first–hall rental and caterer. Each caterer you approach is associated with a specific hall. Caterer One charges $45 per person. The cost of using the hall is inclusive. Caterer Two charges $250 for hall rental plus $28 per person. Cater Three charges $500 for hall rental plus $20 per person. 1. Write the equation to represent the cost of each caterer. Use C to represent cost and n to represent number of people. (3 marks)
Answer:
The cost C, of hosting the banquet with the services of Caterer One is;
C = $ 45·n
The cost C, of hosting the banquet with the services of Caterer Two is;
C = $250 + $ 28·n
The cost C, of hosting the banquet with the services of Caterer Three is;
C = $500 + $ 20·n
Step-by-step explanation:
The information includes;
The amount available to the group for the banquet = $120
The number of people attending the banquet = n
The cost incurred in hosting the banquet = C
The major costs in hosting the banquet are hall rental and caterer
The cost per caterer are as follows;
Caterer One
The cost per person including the hall = $45
Therefore, the cost incurred, C, in hosting the banquet using caterer one is equal;
C = n × $45 = $ 45·n
Caterer Two
The hall rental = $250
The cost per person = $28
Therefore, the cost incurred, C, in hosting the banquet using caterer two is equal;
C = $250 + n × $28 = $250 + $ 28·n
Caterer Three
The hall rental = $500
The cost per person = $20
Therefore, the cost incurred, C, in hosting the banquet using caterer three is equal;
C = $500 + n × $20 = $500 + $ 20·n.
Answer:
The cost C, of hosting the banquet with the services of Caterer One is;
C = $ 45·n
The cost C, of hosting the banquet with the services of Caterer Two is;
C = $250 + $ 28·n
The cost C, of hosting the banquet with the services of Caterer Three is;
C = $500 + $ 20·n
Step-by-step explanation:
The information includes;
The amount available to the group for the banquet = $120
The number of people attending the banquet = n
The cost incurred in hosting the banquet = C
The major costs in hosting the banquet are hall rental and caterer
The cost per caterer are as follows;
Caterer One
The cost per person including the hall = $45
Therefore, the cost incurred, C, in hosting the banquet using caterer one is equal;
C = n × $45 = $ 45·n
Caterer Two
The hall rental = $250
The cost per person = $28
Therefore, the cost incurred, C, in hosting the banquet using caterer two is equal;
C = $250 + n × $28 = $250 + $ 28·n
Caterer Three
The hall rental = $500
The cost per person = $20
Therefore, the cost incurred, C, in hosting the banquet using caterer three is equal;
C = $500 + n × $20 = $500 + $ 20·n.
We have 9 balls, numbered 1 through 9, and 27 bins. How many different ways are there to distribute these 9 balls among the 27 bins? Assume the bins are distinguishable (e.g., numbered 1 through 27).
Answer:
7625597484987 ways
Step-by-step explanation:
Given the following :
Number of ball(k) = 9
Number of bins (n) = 27
How many different ways are there to distribute these 9 balls among the 27 bins.
Here, the balls have different labels (1 to 9)
The bins are also distinguishable, therefore each ball can go into any of the 27 distinct bins.
Therefore, the different ways are there to distribute these 9 balls among the 27 bins equals = n^k
27^9 = 7625597484987 ways.
a:b=7.2
How many times larger is a than b?
Does anyone understand this?
PLEASE HELP ASAP
Answer:
3.5 times as large
Step-by-step explanation:
The ratio can be written using a colon or a fraction bar. In the latter case, simplifying the fraction gives you your answer:
a : b = 7 : 2 = 7/2
'a' is 7/2 = 3.5 times as large as 'b'
a parabola had a vertex of (-5,0) and passes through the point (-3,1)
Answer:
Step-by-step explanation:
let the parabola be y=a(x+5)²+0
or y=a(x+5)²
∵ it passes through (-3,1)
1=a(-3+5)²
4a=1
a=1/4
so parabola is y=1/4(x+5)²
Samuel is solving the equation 3 (x minus 1) + 4 = 2 minus (x + 3). Which equivalent equations might Samuel use? Check all that apply.
3 x minus 3 + 4 = 2 minus x minus 3
3 x minus 1 + 4 = 2 minus x + 3
3 x minus 3 + 4 = 2 minus x + 3
3 x + 1 = negative x minus 1
3 x + 3 = negative x + 5
3 x + 1 = negative x + 5
Answer: 3 x minus 3 + 4 = 2 minus x minus 3
3 x + 1 = negative x minus 1
Step-by-step explanation:
A and D. Edge 2020
The required equation that Samuel used is 3x -3 + 4 =2- x -3. option A is correct.
Samuel is solving the equation 3 (x minus 1) + 4 = 2 minus (x + 3). Which equivalent equations might Samuel use, is to be determined.
The equation is the relationship between variables and represented as[tex]y = ax +b[/tex] is an example of a polynomial equation.
Given equation is [tex]3(x-1) +4 =2 -(x+3)[/tex]
Simplification of the above equation,
opening the parenthesis on both sides
step 1⇒ 3x - 3 + 4 = 2 - x - 3
step 2⇒ 3x + 1 = -x - 1
Transposition of -x to the left side and +1 to the right side
step 4 ⇒ 3x +x = -1 -1
4x = -2
Transposition of 4 to the denominator of -2.
step 5⇒ x = -2/4
x = -1/2
Thus , Step 1 3x -3 + 4 =2- x -3 is the equivalent equation used by the samuel.
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48 - 8x equivalent expression
Answer:
8(6-x)
Step-by-step explanation:
Both 48 and 8 can be divisible by 8.
48 ÷ 8 = 6
8 ÷ 8 = 1
Therefore you get the answer 8(6-x)
as the simplest form.
Hope this helps.