Answer:
-The equation that represents the approximate distance Aaron's dog sled team travels over time is Y = 5.32X.
-The equation that represents the approximate distance Dallas' dog sled team travels over time is Y = 5.48X.
-The equation that represents the approximate distance Mitch's dog sled team travels over time is Y = 5.42X.
Step-by-step explanation:
Given that every year, a dog sled race is held in Alaska and is approximately 1,150 miles in distance, based on the listed information, the speed rate of every racer is:
Aaron = 575 miles in 4 days and 12 hours = 575 miles in 108 hours = 5.32 mph
Dallas = 1,150 miles in 8 days and 18 hours = 1,150 miles in 210 hours = 5.476 mph
Mitch = 287.5 miles in 2 days and 5 hours = 287.5 miles in 53 hours = 5.42 mph
Therefore, the correct answers are:
-The equation that represents the approximate distance Aaron's dog sled team travels over time is Y = 5.32X.
-The equation that represents the approximate distance Dallas' dog sled team travels over time is Y = 5.48X.
-The equation that represents the approximate distance Mitch's dog sled team travels over time is Y = 5.42X.
An iPhone that is marked $500 is marked up 250%.
What is the new price of the iPhone?
$750
$1750
$1250
$1000
Answer:
1250Step-by-step explanation:
This would be 500 x 250/100 = 125000/100 = 1250
A group of 1,254 people are going on a boat tour. If each boat holds 8 people, how many boats will they need?
Answer:
Step-by-step explanation:
1254p(b/(8p))=156.75b
The number of boats must be an integer because you can’t have a fraction of a boat so
b=157
!!! PLEASE HELP FAST !!
please help me with one a two :)
Answer:
Question 1Function given:
y = x² + 4x - 4In the vertex form:
y = x² + 4x + 4 - 8 = (x + 2)² - 8Axis of symmetry is the vertical line passing through the vertex.
The vertex is
(-2,-8)Axis of symmetry is
x = -2y- intercept is
x = 0 ⇒ y = -4, so the point (0, -4)Two other points are
x = 1 ⇒ y = (1 + 2)² - 8 = 9 - 8 = 1, the point is (1, 1)x = -1 ⇒ y = (-1 + 2)² - 8 = 1 - 8 = -7, the point is (-1, -7)See the graph with all the points plotted
Question 2Function given:
y + 2x² - 4x - 6 = 0In standard form:
y = -2x² + 4x + 6In vertex form:
y = - 2x² + 4x - 2 + 8 = -2(x - 1)² + 8The vertex:
(1, 8)Axis of symmetry is
x = 1y - intercept
x = 0 ⇒ y = -2(-1)² + 8 = -2 + 8 = 6, the point is (0, 6)Two other pints:
x = -1 ⇒ y = -2(-1 - 1)² + 8 = -8 + 8 = 0, the point is (-1, 0)x = 2 ⇒ y = -2(2 - 1)² + 8 = -2 + 8 = 6, the point is (2, 6)The graph is attached with the points plotted.
A computer laboratory manager was in charge of purchasing new battery packs for her lab of laptop computers. She narrowed her choices to two models that were available for her machines. Since the models cost about the same, she was interested in determining whether there was a difference in the average time the battery packs would function before needing to be recharged. She took two independent samples and computed the following summary information: Battery Pack Model 1 Battery Pack Model 2Sample Size 9 9Sample Mean 5 hours 5.5 hoursStandard Deviation 1.5 hours 1.3 hoursUsing the null and alternate hypothesis:H0:mu1-mu2=0 vs. Ha: mu1-mu2 not equal 0Calculate the test statistic for this test.
Answer:
-0.756
Step-by-step explanation:
N1 = 9
N2 = 9
Sd1 = 1.5 hours
Sd2 = 1.3 hours
X1 = 5 hours
X2 = 5.5 hours
Hypothesis
H0: mu1 - mu2 = 0
H1 : mu1 - mu2 not equal to 0
Test statistic
t = (x1 - x2)/SE
SE is the standard error, which is unknown
SE = √sd1²/n1 + sd2²/n2
= √1.5²/9 + 1.3²/9
= √0.25+0.1878
= √0.4378
= 0.66166
t statistics = (5-5.5)/0.66166
= -0.5/0.66166
= -0.756
A quality-assurance inspector periodically exam-ines the output of a machine to determine whether it is properly adjusted. When set properly, the machine pro-duces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. Using the 0.01 level of significance, examine the null hypothesis that the machine is adjusted properly. Determine and interpret the p-value for the test.
Answer:
Step-by-step explanation:
From the given information;
The null hypothesis & alternative hypothesis:
[tex]\mathbf{H_o:\mu = 2} \\ \\ \mathbf{H_1 : \mu \ne 2}[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \dfrac{2.025- 2}{\dfrac{0.07}{\sqrt{35}}}[/tex]
[tex]Z = \dfrac{0.025}{\dfrac{0.07}{\sqrt{35}}}[/tex]
[tex]Z =2.11[/tex]
The p-value = 2(Z > 2.11) since this is a two-tailed test
The p-value = 2( 1 - Z < 2.11)
The p-value = 2 (1 -0.9826)
The p-value = 2 (0.0174)
The p-value = 0.0348
Decision Rule: To reject the [tex]\mathbf{H_o}[/tex] if the p-value is less than [tex]\mathbf{H_o}[/tex]
Conclusion: We fail to reject [tex]\mathbf{H_o}[/tex] and conclude that the population mean = 2, thus the machine is properly adjusted.
Pl help it’s for a grade
Answer:
A,d,e not sur tho
Step-by-step explanation:
Answer:
[tex]r^{2}+6r+9=(r+3)^{2} \\m^{2}-10m+25=(m-5)^{2}[/tex]
Step-by-step explanation:
Only !
1. Given A = {1,2,3,4}, B ={1,2,4,5), C={3,4,6}, D= {7,8}. U={1,2,3,4,5,6,7,8,9}
What is A UB? Bn C? CD? A'? (A U B)
Answer:
Step-by-step explanation:
A∪B = {1,2,3,4,5}
B∩C = {4}
I don't know what CD means.
A' = {5,6,7,8,9}
2)Jeremy buys 5 pencils and a notebook. If each
pencil costs $0.59 and a notebook is $2. How
much will Jeremy pay all together?
Answer:
$4.95
Step-by-step explanation:
Answer:
4.59
Step-by-step explanation:
0.59x5=$2.95
2.95+2=4.59
The number of measles cases increased 33.7% to 220 cases this year. What was the number of cases prior to the increase?
Hi there!
Multiply 33.7 with 0.01...
[tex]33.7[/tex]·[tex]0.01=0.337[/tex]
Then multiply 0.337 with the cases which is 220.
[tex]0.337[/tex]·[tex]220=74.14[/tex]
This means that 33.7% of 22 is 74.14 and this also means that the increased cases this year is 74.14.
solve the formula for q
p = 2n + 8q
a. q = p - 2n
b. q = 2n - p / 8
c. q = 2p - n
d. q = 2n - p
e. q = p -2n / 8
please & thank you!!!
Answer:
I think it is B because it makes sense and I have done algebra before.
если x=6 то y=
если y=-4 то x=
Step-by-step explanation:
ssshzvecucsussddyz wksoav
Answer:
X=6 To y=-6
y=-4 TO X = 4
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꧂꧂꧂꧂꧂
Please please give answer for this question
someone pls answer this-
<CEB and BED are adjacent angles ehat is the side common to the two angles?
Step-by-step explanation:
<CEB and < BED are adjacent angles then
The common side to the two angles is
EB
Anyone know any music artists similar to conan gray ?
Answer:
Lorde, Gracie Abrams, and a few Taylor Swift songs, and if you're looking for new musicians to get into that are underrated you should definitely try Hozier, and Phoebe Bridgers.
Let me know guys pls
Answer:5
Step-by-step explanation:
Answer:
Step-by-step explanation:
x/35=15/25
x=35(15)/25
x=21
Find the perimeter and area of a rectangle of cardboard measuring 14.1 cm by 6.5 cm
Answer:
perimeters =41.2
area=91.65
Step-by-step explanation:
rectangle Perimeter(p) Area (A)
L=length 2 (L+W) L×W
W=width
Answer:
14.1*6.5= your area
6.5+6.5+14.1+14.1=perimeter
Step-by-step explanation:
hope this helps!
Identify the missing digit: 5_8x6-3528
Answer:
The missing digit is 8
Step-by-step explanation:
3528/6 = 588
Answer:
the missing digit is 8
Step-by-step explanation:
3528÷6=588.
^
If gasoline costs $3.28 per gallon, how much would 15.5 gallons cost?
Answer:
$50.84
Step-by-step explanation:
By multiplying $3.28 × 15.5 = $50.84
In the following question, the domain of discourse is a set of students at a university. Define the following predicates: E(x): x is enrolled in the class T(x): x took the test Translate the following English statements into a logical expression with the same meaning.
a. Someone took the test who is enrolled in the class.
b. All students enrolled in the class took the test.
c. Everyone who took the test is enrolled in the class.
d. At least one student who is enrolled in the class did not take the test.
Answer:
From the examples given below:
E(x): x is enrolled in the class T(x): x took the test ,
The following sentences can be translated into something similar like:
1 E(x): All students enrolled in the class.
T(x): All students took the test.
2. E(x): Someone took the test
T(x): Someone are enrolled in the class.
3. E(x): Everyone took the test
T(x): Everyone is enrolled in the class.
4. E(x): At least one student is enrolled in the class
T(x): At least one student did not take the test.
Step-by-step explanation:
Find the perimeter of the figure. Round to the nearest tenth.
answer.
3 ft
3 ft
20 ft
5 ft
14 ft
Perimeter
feet
Answer:
45Step-by-step explanation:
Add the sides together:
3+3+20+5+14=45
Whats the equation in slope-intercept form -y - 3x = 4
Answer:
y = -3x - 4
Step-by-step explanation:
Using algebra we solve for solely y
-y = 3x + 4
y = -3x - 4
Please help me with this equation below.
Answer:
a) We have an aspect ratio of 4:3
This means that the width of the screen, W, is about 4/3 times the height of the screen, H.
Then we have the equation:
W = (4/3)*H
And the diagonal of a rectangle with width W and height H is:
D = √(W^2 + H^2)
Then if we have a 15 in TV, then we have D = 15 in.
Then we have:
15 in = √(W^2 + H^2)
Now we can use the relation W = (4/3)*H and replace this in the above equation:
15 in = √(((4/3)*H)^2 + H^2)
Now we can solve this for H:
15in = √( (16/9)*H^2 + H^2)
(15in)^2 = (16/9)*H^2 + (9/9)*H^2 = (25/9)*H^2
(9/25)*(15in)^2 = H^2
√( (9/25)*(15in)^2) = H
(3/5)*(15in) = H = 9 in
The height is 9 inches, and the width will be:
W = (4/3)*9in = 12in.
Now let's do the same for a 42 in tv.
We can use the same equation than before, this time we get:
42 in = √(((4/3)*H)^2 + H^2)
We can do the exact same procedure as before, and we will get:
(3/5)*(42in) = H = 25.2 in
Then the width is
W = (4/3)*H = (4/3)*25.2in = 33.6 in
b) Now we do the same, but now we have the relation:
W = (16/9)*H
Then if D is the diagonal, we have the equation:
D = √(W^2 + H^2) = √( ((16/9)*H)^2 + H^2)
This time we can simplify it for any general D.
D^2 = (16/9)^2*H^2 + H^2
D^2 = (256/81)*H^2 + H^2 = (256/81)*H^2 + (81/81)*H^2
D^2 = (337/81)*H^2
(81/337)*D^2 = H^2
√( (81/337)*D^2) = H
(9/18.36)*D = H
Then if we have a 42 in TV, the height is:
(9/18.36)*42in = H = 20.59 in
And the width will be:
W = (16/9)*H = (16/9)*20.59in = 36.60 in
If we have a 60 in TV, we get:
(9/18.36)*60in = H = 29.41 in
And the width will be:
W = (16/9)*H = (16/9)*29.41in = 52.29 in
c) if all the aspect ratios are always exactly 16:9, then no, the width and height should be exactly the same for all the TV with that ratio.
aplicaciones de la geometría en la vida
Answer:
I don't understand I'm sorry.....
H E L P ! !
The cover of a memo book must have an area of 115 cm^2. Approximately, to the nearest tenth of a centimeter, how long should each side be to make a square cover?
Answer:
10.7cm
Step-by-step explanation:
x^2= 115
x = √115
x = 10.7
Please answer!!!
y = Yolanda's height in inches
y + 7 = Linda's height in inches
2y + (y + 7) = 193
A pair of shoes were originally priced at $125. They are now being sold with a 20% discount. What is it's new price?
* ill give brainliest
Answer:
100
Step-by-step explanation:
Forumla is
Original price X rate of discount = discount
The original price is $125, the rate of discount is 20%
So in math form, this is 125 x .20
which equals 25.
Lastly, just subtract that from the original price. 125 - 25 = 100.
How do I simplify 2275/6
Answer:
This fraction is at its most simplified form
Step-by-step explanation:
You can see this because the GCF of both of these numbers is 1.
The simplified form of fraction 2275/6 is 379.
We have,
To simplify the fraction 2275/6, we can divide the numerator (2275) by the denominator (6) to obtain the simplified form.
By performing the division operation, we obtained the decimal value 379.166666..., which we then rounded to the nearest whole number, resulting in 379.
This process of dividing the numerator by the denominator is the fundamental concept used to simplify fractions.
Dividing 2275 by 6:
2275 ÷ 6 = 379.166666...
Rounded to the nearest whole number, the result is 379.
Therefore,
The simplified form of fraction 2275/6 is 379.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
There are four primary strategies for determining the area of two-dimensional figures and shapes: a) counting square units, b) subdividing the shape into pieces, finding the areas of the pieces and adding the areas together, c) enclosing the shape in a rectangle, finding the area outside of the shape but inside the rectangle and subtracting, and d) using a formula. Explain each strategy. Use an example for each.
Answer:
Given below
Step-by-step explanation:
a) if we look at the picture then we can find by counting the square units. In each box there are 3.5 square units along the breadth. There are 3 square units along the length . Counting these gives (3*3.5= 10.5 ) 10.5 square units for each box. Adding the 10.5 +10.5+10.5+10.5 = 42 square units gives the area of the inner rectangle.
b) There are 4 boxes and the total area of the these boxes will be 4*10.5= 42 square units.
Area of 1 box = 3*3.5= 10.5
c) The area of the outer rectangle = 8*12= 96 square units.
The area between the two rectangles along the breadth = 3*7= 21 of one side.
The area between the two sides along the length = 6*1= 6 square units.
Subtracting 21+21+6+6= 54 from 96 gives 42 square units
d) Area= length *breadth
= 6* 7= 42 square units.
Hence by all four methods the total area remains the same.
How many 1/3 inch cubes does it take to fill a box with width 2 2/3
inches, length 3 1/3 inches, and height 2 1/3 inches?
Answer:
Step-by-step explanation: