Answer:
Allison's angular velocity is approximately π/12 radians/hour
Allison's linear velocity, with respect to the Earth, v is approximately 802.52 miles/hour
Step-by-step explanation:
The coordinates of Kansas City where Allison lives = 39°5'5'' N, 94°34'41''W (39.0997° N, 94.5783° W)
The radius of the Earth, R = 3950 miles
The rate of rotation of the Earth ≈ 2·π radians in 24 hours
The angular velocity of the Earth, ω ≈ 2·π/24 radians/hour ≈ π/12 radians/hour
The angular velocity of the Earth = Allison's angular velocity ≈ π/12 radians/hour
Allison's angular velocity, ω ≈ π/12 radians/hour
Allison's radius or revolution with respect to the axis of the Earth, r = 3950 miles × cos(39.0997°) ≈ 3,065.39635 miles
The linear velocity, v ≈ ω × r
∴ v ≈ π/12 radians/hour × 3,065.39635 miles = 802.518887792 miles/hour
Allison's linear velocity, with respect to the Earth (0 linear velocity), v ≈ 802.52 miles/hour
In a multiple regression analysis, two independent variables are considered, and the sample size is 30. The regression coefficients and the standard errors are as follows. b1 = 2.815 Sb1 = 0.75 b2 = −1.249 Sb2 = 0.41 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) H0: β1 = 0 H0: β2 = 0 H1: β1 ≠ 0 H1: β2 ≠ 0 H0 is rejected if t < −2.074 or t > 2.074
Answer:
There is a sufficient evidence that the coefficient b1 is not zero
There is a sufficient evidence that the coefficient b2 is not zero
Step-by-step explanation:
Given
[tex]n = 30[/tex]
[tex]b_1 = 2.815[/tex]
[tex]Sb_1 = 0.75[/tex]
[tex]b_2 = -1.249[/tex]
[tex]Sb_2 = 0.41[/tex]
[tex]\alpha = 0.05[/tex]
Claim: Coefficient is zero
The null and alternate hypotheses are:
[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]
The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]
Calculate the rejection region
[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]
Calculate the degrees of freedom
[tex]df = n -2[/tex]
[tex]df = 30 -2[/tex]
[tex]df = 28[/tex]
On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:
[tex]t\ value = 2.048[/tex]
The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.
So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]
Testing the first independent variable
Calculate test statistic
[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]
[tex]t = \frac{2.815 - 0}{0.75}[/tex]
[tex]t = \frac{2.815 }{0.75}[/tex]
[tex]t = 3.753[/tex]
[tex]t = 3.753 > 2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
Testing the second independent variable
Calculate test statistic
[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]
[tex]t = \frac{-1.249 - 0}{0.41}[/tex]
[tex]t = \frac{-1.249 }{0.41}[/tex]
[tex]t = -3.0463[/tex]
[tex]t = -3.0463 < -2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
Ramps in a parking garage need to be safe and steep. The maximum safe incline for a ramp at 8.5°. Is this ramp safe? Explain how you know using your math to justify your answer.
NEED ASAP PLEASE
Answer:
No. It is not safe.
Step-by-step explanation:
If the maximum safe incline for a ramp is said to be 8.5°, it means that the incline of any ramp that is greater than 8.5° is not safe.
Let's find the angle measure of the incline in the diagram given to ascertain whether it is safe or not.
Opposite side to angle of inclination = 20
Adjacent side to angle of inclination = 100
Apply the trigonometric function, TOA, which is:
Tan θ = Opp/Adjacent
Tan θ = 20/100
Tan θ = 0.2
θ = Tan^{-1}(0.2)
θ = 11.3099325° ≈ 11.3°
Angle of inclination for the ramp shown = 11.3°.
This is not safe because it has exceeded the maximum safe incline for a ramp which should be 8.5° maximum.
An old cell phone battery would last for 16 hours. The new battery lasts 25% longer. How long will the new battery last?
Answer:
20 hours
Step-by-step explanation:
To find the answer, you first should find out how long is 25% of the original battery life, 16 hours. To find this, you can divide 16 by 4, or multiply 16 by 0.25. Either works.
16/4=4.
So the new battery lasts 4 hours more than the old battery. Then, add this to the original length to find how long the new battery will last in total.
16+4=20
what is the measurement of jkl
Answer:
The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.
Step-by-step explanation:
Please mark as brainliest!
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
What is 75% of 162? Show your work and/or explain your reasoning.
Answer:
121.5
Step-by-step explanation:
75% = 75/100
Step 2 - Mutiply percenatge fraction by the entire (100%) quantity
75/100× 162 = 121.5
Final result
75 percent of 162 is 121.5
Answer:
121.5
Step-by-step explanation:
| percantage x 100% |
75/100 x 162 = 121.5
You have three vegetable pizzas of the same size One has 4 equal slices. The second has 8 equal slices. The third has 6 equal slices. You cut the pizzas until all of them have the same number of slices. How many slices does each pizza have?
Answer:
24
Step-by-step explanation:
Choose the correct answer.
Answer:
a_23 = 5
Step-by-step explanation:
The row is the first number so in a_23 The row is a 2
The column is the second number so the column is 3
The second row is 3 9 5 1
The third column number would be 5
The answer is a
Answer:
5
Step-by-step explanation:
[tex]a^{23} = 5[/tex]
Hope this helps
how many do they have
Answer:
333
335
355
555
533
553
353
535
so I think 8
A man is 6 feet tall. At 1:00, he casts a shadow that is 18 inches long. A nearby tree is 32 feel tall. At the same time of day, how long is the tree's shadow?
The answer of this would be 8 feet long.
If you take 6 feet and put that into inches, the man would be 72 inches tall. at one oclock he casts a shadow that is 1/4 of his length. so if we take this knowledge to the tree and divide 32 feet by 4, we get 8 feet long
answer: 8 feet
Substitution method. Help!
Answer:
(2, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations by substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 3x - 4
2y = -x + 6
Step 2: Solve for x
Substitution
Substitute in y: 2(3x - 4) = -x + 6[Distributive Property] Distribute 2: 6x - 8 = -x + 6[Addition Property of Equality] Add x on both sides: 7x - 8 = 6[Addition Property of Equality] Add 8 on both sides: 7x = 14[Division Property of Equality] Divide 7 on both sides: x = 2Step 3: Solve for y
Substitute in x [Original Equation]: y = 3(2) - 4Multiply: y = 6 - 4Subtract: y = 2Solve the system of equations by elimination
3x + 5y = 16
2x - y = 2
Answer:
the answer is 2
Step-by-step explanation:
The point (0,0) on a coordinate grid is called
Answer:
origin
hope this helps!
Step-by-step explanation:
Answer:
Origin
Step-by-step explanation:
The origin of the graph (0,0) is the point where the two y and x axes intercept.
The origin determines every other point of the graph.
Hope this helps!
Are the ratios 3:6 and 1:2 equivalent?
Answer:
yes these are equivalent bcz
3/6=1/2
Step-by-step explanation:
PlZ make me brainliest
Answer:
Yes
Step-by-step explanation:
3/6= 0.5
1/2= 0.5
One year ago today the temperature was 3 degrees colder. Five years ago today the temperature was 15 degrees warmer. Select the inequalities that correctly express the relationship between the temperature one year ago today and five years ago today with respect to today's temperature.
Therefore , the solution of the given problem of inequality comes out to be x + 15 < x - 3 and x - 3 > x + 15
An inequality is what?In mathematics, a connection or group of integers can be an inequality without the equal sign. Equilibrium is always followed by equity. Inequality occurs when norms are still incompatible. Disparity and fairness have distinct traits. We chose to use the most typical symbol because components aren't always equivalent or similar to one another (). Any disparity, no matter how small or large, can also be used to evaluate values.
Here,
Let x represent the weather today.
The difference between today's temperature and last year's is three degrees, so last year's temperature was x - 3.
Since the weather was 15 degrees higher five years ago, the previous temperature was x + 15.
We can use the following language to describe the relationship between the temperature today and one year ago today but instead five years ago today with respect to the current temperature:
=> x + 15 < x - 3 (five years ago temperature is less least 1 year ago temperature)
=> x - 3 > x + 15 (one year ago temperature is bigger than five years ago temperature)
Therefore, the proper disparities are:
=> x + 15 < x - 3
=>x - 3 > x + 15
To know more about inequality visit:
https://brainly.com/question/29914203
#SPJ1
What is the volume of a cube with a side length of 5?
Answer:
125
Step-by-step explanation:
L x W x H
All are equal sides so 5 are all the lengths of each side of the cube.
Melinda kept a record of her spending for the week. She spent $25 to put gas in the car, bought a new shirt for a total of $22.38, played putt-putt golf with some friends that cost $6.95 and paid $38.71 for a few groceries. What was the total of Melinda’s expenses for the week?
a.
$68.24
b.
$86.09
c.
$91.94
d.
$93.04
Answer:
D.$93.04
$25+$22.38+$6.95+$38.71 = $93.04
state whether the number is a solution to the given inequality
7/12 > 9/16
Answer:where the numbers ? like a.3,b.5 somethin like that
Step-by-step explanation:
but its True
7/12>9/167
0.583333>0.053892
true
HELP with this question if it’s possible can u show work and not just a answer pls
NO LINKS OR SCAMS WILL GET REPORTED
Answer: 1-14' 1" is prob. your width
Step-by-step explanation:
i can’t find out length Sorry.
Step-by-step explanation:
Scale : 4 in = 5ft.
1 in. = 5/4 = 1.25 ft
Actual length = 25 x 1.25 = 31.25 ft.
Actual width = 16 x 1.25 = 20 ft
Actual area = actual length x actual width
= 31.25 x 20
= 625 ft²
A bag with 6 marbles has 3 red marbles, 1 blue marble, and 2 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is
red?
Write your answer as a fraction in simplest form
PLEASE HELP URGENT ❤️ I will give brainlest to first person
Answer:
1/2
Step-by-step explanation:
3/6 = 1/2
what is the rounded number of 305?
Answer:310
Step-by-step explanation:
Please answer this question ASAP
Answer:
Budgins.
Step-by-step explanation:
Waitroze is selling the cans of soup for 1.27 more than Budgins. So, therefore, Budgins has a WAY better deal than Waitroze.
Given that y = } 1/2(x1 + x2)c, what is y when X 1 = 3, X2 = 5, and c = 6?
Answer:
24
Step-by-step explanation:
1/2(x1+x2)c x1=3 , x2=5 , c=6
:- 1/2(3+5)6 ( BODMAS)
:- 1/2(8)6 divide 8 by 1/2
:- (4)6 multiply both of them and the result = 24
Please help this is due today.
I don’t need an explanation for why it’s right but please don’t just say a random answer.
Part 1: Identify key features and graph a parabola from standard form.
Answer the following questions to determine the key features of the parabola based on the
equation shown, and then graph it
12(x + 3) = (y-2)^2
a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1
point)
b) What is the vertex of the parabola? (1 point)
c) What is the focus of the parabola? (2 points)
d) What is the directrix of the parabola? (2 points)
e) Sketch a graph of the parabola and label the vertex,focus, directrix, and axis of symmetry (4 points)
Answer:
a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1
point)
b) What is the vertex of the parabola? (1 point)
Step-by-step explanation:
Determining a Better Choice
Last year, Ron had made an 18% percent error when he
bought 168 notebooks and customers needed 200. This
year, he made a 24% error when he bought 310
notebooks and sold only 250. Compare the percent errors
for the two years and determine which year Ron made a
better estimate.
I
Answer:
Last year the percent of error was lower than this year. The smaller the percent of error, the closer the estimate is to the exact value. Last year, Ron made a better estimate.
Help please help. Need answer ASAP. 15 points. Help help help.
Answer:
ㅜ료우료ㅠㅠㅗ프ㅡㅓ효유ㅠ슈유슈뤂ㄹ푸ㅛㅜㅠ로휴ㅜ휴ㅐㅓㄴㅁㄱ무홈
Step-by-step explanation:
쵸푳퓨추르ㅛㅛㅠ롰ㄹ류ㅗ슔ㄹㅅ휴ㅗ료ㅓㅕ
There are 24 students in a class. Only -- of the students remembered to bring their hat and mittens to class.
How many students forgot to bring their hat and mittens?
Answer:
6
Step-by-step explanation:
Answer:
22?
Step-by-step explanation:
24-2=22?????
Misha and Nora want to buy season passes for a ski lift but neither of them has the $225 needed to purchase a
pass. Nora decides to get a job that pays $6.25 per hour. SHe has nothing saved right now but she can work four
hours each week. Misha already has $80 and plans to save $15 of her weekly allowance. Who will be able to
purchase a pass first? Show all your work and explain your reasoning.
Answer:
Step-by-step explanation know him just a joke just know class kids know from its young
From the top of a lighthouse the angle of depression of a speed
boat is 35º. The boat is 134 meters from the base of the
lighthouse. Find the distance from the top of the lighthouse to the
boat.
Answer:
164m (to 3 s.f.)
Step-by-step explanation:
Please see the attached picture for the full solution.
hi, if your looking for extra points (50+) and brainiest here is ur chance, answer this question correctly plz
Answer:
The y-intercept is -4.
Explanation:
The y-intercept is between -2 and -4 so its actually on -3
Answer:
The y-intercept is -4. This one is false.
Step-by-step explanation:
The slope is positive.
The point (8, 2) is on the line.
The y-intercept is NOT -4. The y-intercept is -3.
The line does not go through the second quadrant.