Answer:
[tex]4x-y=18[/tex]
Step-by-step explanation:
We want to find the equation of a line in standard form with a slope of 4 and passes through the point (6, 6).
First, we can write it in point-slope form. Point-slope form is given by:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Where (x₁, y₁) is a point and m is the slope.
Substitute:
[tex]y-6=4(x-6)[/tex]
Distribute the right:
[tex]y-6=4x-24[/tex]
Now, we can separate all the variables and the constants. Subtract 4x from both sides:
[tex]-4x+y-6=-24[/tex]
Add add 6 to both sides:
[tex]-4x+y=-18[/tex]
Traditionally, A or the coefficient of x is always positive. Hence, we can divide both sides by -1 to acquire:
[tex]4x-y=18[/tex]
The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the legendary champion, Byron Nelson. Ten randomly selected balls of two brands are tested and the overall distance measured. Assume the data are normally distributed. The data follow:
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
1) Is there evidence to show that there is a difference in the mean overall distance of brands? Use alpha = 0.05.
2) Calculate a 95% two-sided confidence interval on the difference in mean overall distance.
Answer:
1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.
2) The 95% CI is [-18.587; 1.01242]
Step-by-step explanation:
The given data is
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
Difference d -16 -5 -19 -13 -16 - 01 -3 -2 20 3 ∑ -98
d² 256 25 361 169 256 1 9 4 400 9 ∑1490
1) Let the hypotheses be
H0: ud= 0 against the claim Ha: ud ≠0
2) The degrees of freedom = n-1= 10-1= 9
3) The significance level is 0.05
4) The test statistic is
t= d`/sd/√n
5) The critical region is ║t║≤ t (0.025,9) = ±2.262
Calculations
6) d`= ∑di/n= -98/10= -9.8
Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]
= 1/9[1490-(-9.8)²/10] =1/9 [1490-9.604]= 164.4884
Sd= 12.825
Therefore
t= d`/ sd/√n
t= -9.8/ 12.825/√10
t= -0.764132/3.16227= -0.241640
7) Conclusion:
1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.
2) The confidence interval for the difference of two samples can be calculated by
d ` ± td sd/√n
Putting the values
-9.8 ±2.262* 12.825/√10
[-18.587; 1.01242]
What is the product of (6a + 7) (5a – 4)?
Answer:
30a²+11a−28
Step-by-step explanation:
(6a+7)(5a−4)
=(6a+7)(5a+−4)
=(6a)(5a) + (6a)(−4) + (7)(5a) + (7)(−4)
=30a² − 24a + 35a − 28
=30a² + 11a − 28
Hope I helped! (p.s. maybe brainliest answer)
What is the slope of the line?
Answer:
m= 8/5
Step-by-step explanation:
Points on the graph: ( -4, -4) and (1, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4+4)/(1+4)
m= 8/5
Answer:
slope is 5/4
Step-by-step explanation:
to find slope, use the formula rise/run
A lawn is shaped like a parallelogram with a base of 30 feet and a height of 12 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass?
Answer:
$138.46
Step-by-step explanation:
30×12=360
360÷2.60=138.46
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 1 of 2: Suppose a sample of 1453 suspected criminals is drawn. Of these people, 377 were captured. Using the data, estimate the proportion of people who were caught after being on the 10 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The proportion of people who were caught after being on the 10 Most Wanted list is 0.259.
Step-by-step explanation:
Proportion of people who were caught after being on the 10 Most Wanted list.
Number of people caught divided by the size of the sample.
In this question:
377 people caught.
1453 suspected criminals.
Then
[tex]p = \frac{377}{1453} = 0.259[/tex]
The proportion of people who were caught after being on the 10 Most Wanted list is 0.259.
Determine the coordinates of the y-intercept of the function shown in the graph.
A)
(0, -1)
B)
(2,0)
9
(0,2)
D)
(-1,0)
Includes the photo for the question
Each letter of the word "rainbow" has been written on a separate slip of paper and put into a box. Find the probability of selecting a slip of paper with a vowel on it, replacing it, then selecting the letter w?
I need help please
Please hurry
Answer:
Its 32
Step-by-step explanation:
Need help please I will mark brainlist
Answer: C = 7.62
You can verify this answer using this calculator.
7^2 + 3^2 = 58
√58 = 7.62
Pamela is 9 years younger than Jiri. The sum of their ages is 53. What is Jiri's age?
Answer: 44
Step-by-step explanation:53-9
Answer:
31
Step-by-step explanation:
Jiri's age = J
J + (J-9) = 53
2J - 9 = 53
2J = 62
J = 31
Unit 11: Volume & Surface Area
Homework 1: Area of Plane Figures
Directions: Find the area of each figure. Round to the nearest hundredth where necessary.
2. and 11. all I need
will give brainliest if u get it right I promise
Answer:
I got 96.71ft 2 by doing it
It can be deduced that the area of the circle will be 26.42 feet.
How to calculate an area of a circle?It should be noted that the area of a circle is calculated by the formula:
= πr²
In this case, the radius is given as 2.9 feet. Therefore, the area of the circle will be:
= πr²
= 3.142 × 2.9²
= 26.42 feet
In conclusion, the area is 26.42 feet.
Learn more about circles on:
https://brainly.com/question/24375372
The refrigerator part of a refrigerator-freezer has a volume of 27 cubic feet.
The freezer part is 2 feet high, 2 feet deep and 3 feet wide.
What is the total volume of the refrigerator-freezer?
Answer:
39
Step-by-step explanation:
Dan bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 46 cards left. How many cards did Dan start with ? show equation
Answer:
79
Step-by-step explanation:
Let's say that N is the number of cards.
So the first step is N+5, because dan bought 5 new cards.
Next his dog ate half the collection, so the 2nd piece of the problem is [tex]\frac{N+5}{2}[/tex]
The last step is to now make it an equation. Because there are now 46 cards left, [tex]\frac{N+5}{2}[/tex]=42.
Now solve for N which is N+5=84=> N=79
brainliest would be appreciated!
helppppppppppppppppppppppppp
Answer:
The perimeter of this figure is 40 milimeters.
Step-by-step explanation:
Add all sides' lengths:
3+ 12 + 12+ 13 = 40
5+6(2x-1)
i need this like now pls
Answer:
Step-by-step explanation:
5 + 6 = 11 x 2 - 1 = 21 therefore its 21
There are 15 boys in the class of 40 learners. What is the ratio of boys to girls in the classroom????
Answer:
So I guess in this case we assume there are no nonbinary or genderqueer kids in the class
boys would be 15
girls would be 25
the simplified ratio would be 3/5
A right triangle has legs that are 21 in. and 25 in. long. What is the area of the triangle?
Answer:
The area of the right triangle is 262.5
Step-by-step explanation:
Please Help due in 1 min
No Links Allowed
Can you help I’m in middle school and cant get this!
What is 5.5 divided by 1.68
WITH STEP BY STEP EXPLANATION
NO LINKS!!! Plz help this is due tmr
Answer:
Step-by-step explanation:
Can someone please answer this
Answer:
sorry bro i need points i got 10 minutes left on dis quiz but i recommond course hero bro have a good day
Step-by-step explanation:
Which statement is true?
CLEAR CHECK
All whole numbers are rational numbers.
All integers are whole numbers.
All rational numbers are integers.
None of the above
Answer:
c
Step-by-step explanation:
that's the answer sjakskkeieiidix
Which would be the best trend line for the given data set?
A) y=x+4
B) y=-x+4
C) y=-1/4x+2
D) 1/4x+2
The population of a city is 100,000 and the annual growth rate is 4.2%. Write an equation to model the population y after x years.
Answer:4.2 times every 100000y=420000x for every year)
Step-by-step explanation:
please answer this thanks
Answer:
try using an online calculator, it might help
Sketch a graph of X= –2
Answer:
It's just a vertical line extending in both directions for infinity at x=-2
Step-by-step explanation:
Graph is in ss
Consider the figure below in which 411122.
a b
cld
4
elf
12
gh
Select the angle(s) that are congruent to Zc.
Options
Answer:
its a and d
Step-by-step explanation:
A veterinarian in Camperville zoo needs to weigh the big bear. Which would be the most appropriate unit of measure?
A. meters
B. kilograms
C. liters
D. cups
Answer:
Kilograms
Step-by-step
A meter is distance
A kilogram is weight
A liter is related to ounces
A cup is how much of something
Micah and his brother found some cash at
a bus stop. They split the money evenly, each
getting $ 16. How much money did they find?
m
Answer:
32
Step-by-step explanation:
Add 16 + 16