Answer:
The slope is -3
Step-by-step explanation:
y=mx+b
m=slope
m=-3
slope=-3
hope this helps!
Line A contains the points (– 6, – 3) and (– 2, – 1). Line B contains the points (8, 2) and (12, 4).
How many solutions does the system of equations have?
Answer:
One Answer
Step-by-step explanation:
Take two points like (8,2) and (12,4) and do y2-y1/x2-x1.
4-2/12-8 = 4/2 = 2.
Then that another point and plug it in to the equation, y = 2x + b.
i will use (8,2). 2 = 2(8)+b. solve this and you get b= -14.
now you found your answer. y=2x + -14.
Three years ago, the annual tuition at a university was $3,000. The following year, the tuition was $3,300, and last year, the tuition was $3,630. If the tuition has continued to grow in the same manner, what is the tuition this year? What do you expect it to be the next year?
Answer:
$3990
Step-by-step explanation:
First, if the tuition increased by 300 the first year, and 330 the next year, I can infer that the tuition increases by $30 a year. This year, the the tuition will cost 360, because 330 + 30 = 360. So, this year the tuition will be 3990, because 3630 + 360 = 3990.
Hope this helps
It has been reported that 8.7% of U.S. households do not own a vehicle, with 33.1% owning 1 vehicle, 38.1% owning 2 vehicles, and 20.1% owning 3 or more vehicles. The data for a random sample of 100 households in a resort community are summarized in the frequency distribution below. At the 0.05 level of significance, can we reject the possibility that the vehicle-ownership distribution in this community differs from that of the nation as a whole?
Number of Vehicles Owned Number of Households 0 20 1 35 2 23 3 or more 22 =100
Answer:
Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )
Therefore, we reject H₀ at 0.05 level of significance.
Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household
Step-by-step explanation:
Given the data in the question;
Number of vehicle owned Number of households
0 20
1 35
2 23
3 or more 22
Total ( n ) 100
so
Null hypothesis H₀ : In this community, vehicle ownership distribution is like that of all U.S household
Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household
Also given that, ∝ = 0.05
Now, we compute the test statistics;
x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]
where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.
so we make our table for chi square test statistics
No. of O[tex]_i[/tex] P E[tex]_i[/tex] (O[tex]_i[/tex] - E[tex]_i[/tex])² (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]
Vehicle (n×P)
owned
0 20 0.087 8.7 127.69 14.677
1 35 0.331 33.1 3.61 0.109
2 23 0.381 38.1 228.01 5.985
3 or more 22 0.201 20.1 3.61 0.180
Total 100 100 20.951
hence, x² = 20.951
Now, degree of freedom df = k - 1 = 4 - 1 = 3
From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05
[tex]x_{0.05, 3[/tex] = 7.815
Decision Rule
Reject H₀ if x² is greater than xₐ².
Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )
Therefore, we reject H₀ at 0.05 level of significance.
Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household
A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 59 cars owned by students had an average age of 7.72 years. A sample of 49 cars owned by faculty had an average age of 6.1 years. Assume that the population standard deviation for cars owned by students is 2.73 years, while the population standard deviation for cars owned by faculty is 3.8 years. Determine the 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places.
3. Do you UNDERSTAND? Write an expression for the area of
the rectangle.
1
2x4
6x4
PLS HELP!! EASY VOLUME AND SURFACE AREA!!!! WORTH 10 PTS AND WILL GIVE BRAINLIEST!!
Answer:
1) 152
Step-by-step explanation:
(Length)l = 10cm
(width) w = 4cm
(height) h = 8 cm
SA= lw+wh+lh
= 10×4+4×8+10×8
=40+32+80
=152
The dimensions of a figure are 5(2x+3). Which figure below represents the same figure and its area? F H 12x 36 5x 8 10x 15 2x 15
Answer:
The correct answer is G(1, 4).so go through it.
Eloise can fertilize her lawn in t hr. What is the rate at which she does this job?
Answer:
1 / t
Step-by-step explanation:
The rate at which a job, chore or a certain task is executed is expressed as the reciprocal of the time taken to complete such task. That is ;
Rate = 1 / time taken
From the scenario above, the time taken = t hours
Then the rate at which work is done can be expressed as :
1 / t
A store pay $120 for a bicycle. The store has a 60% markup policy. What is the selling price of the bicycle? (answer $192)
Use your answer from the above question to help answer this question!! The store is now going out of business and is selling all of the bicycles at a 30% discount. What is the sale price of the bicycle?
PLEASE HELP I WILL GIVE BRAINLIEST! Mason already has 11 plants in his backyard, and he can also grow 1 plant with every seed
packet he uses. How many seed packets does Mason need to have a total of 20 plants in his
backyard?
Mason needs 9 more seed packets to have a total of 20 plants in his yard.
Simplified:
20-11=9
Help please I’ll give extra points and brainlist
True
______
A closed circuit basically means everything is connected by wires and for this setup every device receives electricity making this true
Find the equation of the line passing through the point (–1, 5) and perpendicular to the line y = – 3x + 4.
Question 8 options:
A)
3y = x + 16
B)
y = –3x + 2
C)
y = –3x + 8
D)
3y = –x + 16
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Answer:
A) 3y = x + 16
Step-by-step explanation:
The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.
Swapping coefficients, we get ...
-3y = x + c
Negating the y-coefficient gives ...
3y = x + c
Filling in the given point, we have ...
3(5) = -1 + c
16 = c
The equation of the perpendicular line can be written as ...
3y = x + 16 . . . . matches choice A
_____
Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.
An auditorium has 40 rows of seats. There are 20
seats in the first row. Each row has 2 more seats
than the row before.
Identify the number of seats in the first 4 rows:
Answer:
140 seats
Step-by-step explanation:
40 rows
1ˢᵗ row = 20 seats
39 next rows = 2×20 = 40 seats
First 4 rows = 20 seats + 3(40) seats = 140 seats
➪the 2ⁿᵈ, 3ʳᵈ and 4ᵗʰ rows have equal number of seats = 40 seats
Answer:
98
Step-by-step explanation:
what is the difference between
7z
and z to the power of 7
Answer:
7z is the sum of seven 'z's while z to the power of z is the multiplication of z to itself z times.
Step-by-step explanation:
7z is 7 times of z.
7z= z +z +z +z +z +z +z
z⁷ (z to the power of 7) is multiplying z by itself 7 times.
z⁷= z ×z ×z ×z ×z ×z ×z
Write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression) that have the following solution sets: One solution: x=15. PLEASE ANSWER FAST
Answer:
|x-8| = 7
Step-by-step explanation:
The following equation would make x=15 when solved.
|x-8| = 7
This is because if we substitute 15 for x we would have to subtract 8 from 15 which would give us 7 and the absolute value of 7 is 7 which would ultimately make the equation true.
Which of the following is a biconditional statement?
Question 4 options:
A)
A shape has four sides if and only if it's a quadrilateral.
B)
If a shape has four sides, then it's a quadrilateral.
C)
If a shape is a quadrilateral, then it has four sides.
D)
If a shape doesn't have four sides, then it isn't a quadrilateral.
Answer:A)
A shape has four sides if and only if it's a quadrilateral.
Step-by-step explanation:
If a conditional statement and its converse are both true, then the statement is a biconditional statement. Biconditional statements can be written using the phrase “if and only if.” For example, a polygon is a hexagon if and only if it has six sides.
The following prism has a base area of 20\pi20π20, pi square units and a volume of 120\pi120π120, pi cubic units. The cylinder has the same base area and height. What is the volume of the cylinder?
Given:
A prism has a base area of [tex]20\pi [/tex] square units and a volume of [tex]120\pi[/tex] cubic units.
To find:
The volume of the cylinder if the cylinder has the same base area and height.
Solution:
Volume of a prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
The volume of cylinder is:
[tex]V=\pi r^2h[/tex]
[tex]V=Bh[/tex]
Where, r is the radius, h is the height of the cylinder and [tex]B=\pi r^2[/tex] is the base area.
Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.
Hence the volume of the cylinder is [tex]120\pi[/tex] cubic units.
Answer:
120 pi cubic units
Step-by-step explanation:
The lengths of a certain species of beetles are normally distributed with a mean of 1.9 centimeters and a standard deviation of 0.2 centimeters.
What is the z-score of a beetle of this species with a length of 2.38 centimeters?
Enter your answer in the box.
Enter your answer, rounded to the nearest tenth, in the box.
Answer:
The z-score of a beetle with a length of 2.38 centimeters is 2.4
Step-by-step explanation:
As we know,
z = (x - µ)/σ
x is the length of the beetle species.
µ is the mean length
σ is the standard deviation
Substituting the given values in above equation, we get
z = (2.38 - 1.9)/0.2
z = 0.48/0.2
z = 2.4
The ratio of the lengths of 3 squares of different sizes is 2:4:7. If the length of the biggest
square is 10 cm longer than the smallest square, find the perimeter of the smallest square.
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Answer:
16
Step-by-step explanation:
The largest square is 7-2 = 5 ratio units larger than the smaller square. Hence, each ratio unit stands for (10 cm)/5 = 2 cm. The side length of the smaller square is 2(2 cm) = 4 cm. The perimeter is 4 times that: 16 cm.
The perimeter of the smallest square is 16 cm.
Joe ran 3 miles yesterday and wants to run at least 15 miles this week. Write an inequality that can be used to determine the additional number of days Joe must run this week if each run is 3 miles. Then solve the inequality.
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Answer:
3 +3d ≥ 15
d ≥ 4
Step-by-step explanation:
Since Joe runs 3 miles for each day he runs, the number of miles he runs in d days is 3d. That, added to the distance he has already run, will total the amount for the week. He wants that to be at least (greater than or equal to) 15 miles:
3 + 3d ≥ 15
__
We can divide by 3 to get ...
1 + d ≥ 5
d ≥ 4 . . . . . . . subtract 1
Joe must run at least 4 additional days this week to run at least 15 miles.
Use a+= then find the perimeter
A rectangle with a length of 15 feet has a
diagonal that measures 17 feet. Find the
perimeter of the rectangle.
A. 46 feet
B. 32 feet
C. 58 feet
D. 64 feet
ОА
Answer:
The answer is 46
Step-by-step explanation:
Since there is a diagonal, you can't assume that it is the width because if it was the width, it would say so. Since 17 was the measure of the diagonal, I did pythagorean theorem: 15^2 + x^2 = 17^2 --> 225 + x^2 = 289 --> x^2 = 64 --> x = 8. So now we have figured out the width of the rectangle and it's 8. Now we can add: 8 + 8 + 15 + 15 = 46. That is why the answer is 46.
The perimeter of the rectangle 46 feet.
The correct option is (A).
What is perimeter?Perimeter is the distance around the edge of a shape.
Learn how to find the perimeter by adding up the side lengths of various shapes.
Given : length= 15 feet and diagonal= 17 feet
Since there is a diagonal.
So, using Pythagorean theorem:
H² = P²+B²
15²+ x² = 17²
or, 225 + x² = 289
or, x² = 64
x = ± 8 feet.
Thus, width = 8 feet
Perimeter of rectangle= 2*(l+b)
= 2*(15+8)
= 2*23
=46 feet
Learn more about perimeter here:
https://brainly.com/question/6465134
#SPJ2
If X and Y are supplementary angles, then X and Y are: always, sometimes, or never vertical?
Pick one
Answer:
sometimes
Step-by-step explanation:
Meatball subs used to cost $5.40 at Mike's Sub Shop, but he just increased the price by $0.54.
How much do subs cost now?
Answer:
Step-by-step explanation: $5.40 + $0.54 now equals $5.94
What is the answer to 129 x 526
129×526
=67,854
it is the correct answer
hope it helps you have a good day please mark me as brain list
Answer:
129×526
= 67854 is your answer
hope it is helpful to you
Please Help Me ASAP!
Answer:
-4
Step-by-step explanation:
[tex] \sqrt{16} = 4[/tex]
but there is a negative sign so -4
Answer:
4
as the square root of 16 is 4 the answer will be +as well as -4 but the minus sign will be cancel out as there iss -sign outside
Define decimal number system.
[tex] \\ \\ \\ \\ [/tex]
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: BTS \: }[/tex]
➳ Ofc BTS!!!!!
➳Jimin - BTS
what steps can be taken to find the product of 8.31 and 1,000
8300 is the product of 8.31 and 1,000
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
We need to find the product of 8.31 and 1,000.
product of Eight point three one and thousand.
In the given numbers 8.31 is a decimal number and 1000 is a whole number.
To multiply both let us make thousand as a whole number by placing two zeros on right side of 1000 with a point.
1000.00
× 8.31
_________
8310
Hence, 8300 is the product of 8.31 and 1,000
To learn more on Multiplication click:
https://brainly.com/question/5992872
#SPJ2
how to write 600 108
in words
Answer:
Six Hundred Thousand One Hundred and Eight
Find d using a trigonometric ratio(no links I can’t click them)
Answer: 38 is your answer hope this helped
plz make brainly
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.01 mm.
Required:
What are the null and alternative hypotheses?
Answer:
The null hypothesis is [tex]H_0: \mu = 4.1[/tex]
The alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters
This means that the null hypothesis is that the diameter has the supposed value, that is, [tex]H_0: \mu = 4.1[/tex]
If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.
Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]