A field is a rectangle with a perimeter of 1240 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.
The width
Answer: The length is 510 and the width is 110.
Step-by-step explanation:
To find the area of a rectangle, you will have to add the 2 times the length plus 2 times the width because a rectangle have 4 sides. Two widths and two lengths.
You can now use the formula P= 2l + 2w
were P is the perimeter , l is the length, and w is the width.
the length is 400 more than the width, so we can represent that by the equation, l = w + 400
And now we know that the width is w.
So now we will input the perimeter, length, and into the formula to solve for w.
1240 = 2(w + 400) + 2w
1240 = 2w + 800 + 2w
1240 = 4w + 800
-800 -800
440 = 4w
w = 110
L= 110 + 400
L = 510
Check :
1240 = 2(510) + 2(110)
1240 = 1020 + 220
1240 = 1240
Let's say a student scored 33 on a math achievement test for which scores are normally distributed with mean
43 and standard deviation 10.
What proportion of students finished worse than her?
Answer:
15.87%
Step-by-step explanation:
We are given;
x¯ = 33
μ = 43
σ = 10
Let's first find the z-score from the formula;
z = (x¯ - μ)/σ
Thus;
z = (33 - 43)/10
z = -10/10
z = -1
From the table attached the p-value at z = -1 is p = 0.15866 ≈ 0.1587 = 15.87%
Thus, proportion of students finished worse than her is 15.87%
In the text box, write the next 3 terms in the sequence and describe the pattern. In the checkbox, identify if the sequence is arithmetic, geometric or neither and identify if the sequence has a common ratio, a common difference or neither.
-4, -2, 0, 2, ____, ____, ____,
Arithmetic
Geometric
Neither
Common difference
Common ratio
Answer:
d = 2
Next 3 terms = 4, 6 and 8
Step-by-step explanation:
Given the sequence
-4, -2, 0, 2, ____, ____, ____,
common difference = -2-(-4) = 0-(-2) = 2
Since they have the same common difference, hence it is an arithmetoc progression
Tn = a +(n-1)d
a is the first term = -4
n is the number of terms
d is the common difference = 2
Get the fifth term
T5 = -4+(5-1)2
T5 = -4+(4)(2)
T5 = -4 + 8
T5 = 4
T6 = -4+(6-1)2
T6 = -4+(5)(2)
T6 = -4 + 10
T6 = 6
T7 = -4+(7-1)2
T7 = -4+(6)(2)
T7 = -4 + 12
T8 = 8
Hence the next 3 terms are 4, 6 and 8
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer!
Answer:
I'm not going to lie I'm not 100% sure but I think it's c
Answer:
D
Step-by-step explanation:
4x=4+2y
3y=5+2x
Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is the probability that the die shows a 1
Answer:
the probability is 0.6
Step-by-step explanation:
The computation is shown below:
Let us assume the X would be the number appear on the top face
Now
= P(X = 1) ÷ P(X = 0)
= 0.3 ÷ 0.3 + 0.1 + 0.1
= 0.3 ÷ 0.5
= 0.6
hence, the probability is 0.6
Choose the three rectangles that have a perimeter of 36 inches.
Step-by-step explanation:
The three rectangles that have perimeter of 36 inches are
A. C. and D
Just check by using the formula of perimeter of rectangle ; 2 (L + b)
Hope it will help :)
Need help with math points and brainlest
Answer: 10 because if they have the same shape then it must be 10.
I'm not sure if they want the same area or the same length. But if you want the volume then it would be 2. Because 2 x 75 = 150 and 15 x 10 = 150. Wait for more responses if needed.
Suppose a game uses a spinner that has four possible outcomes: 1, 2, 3, and 4. What outcomes make up the complementary event of getting "2 or greater" on this spinner?
Answer:
Outcome of complementary event of getting "2 or greater" on the spinner = {1}
Step-by-step explanation:
Let A be an event of getting '' 2 or greater ''
The complementary event of A be = A' = getting ''less than 2 ''
Now,
The Sample space S = { 1, 2, 3, 4 }
Outcome of A' = { 1 }
∴ we get
Outcome of complementary event of getting "2 or greater" on the spinner = {1}
The model below is shaded to represent 7 3/10
Answer:
blue 7.3
Step-by-step explanation:
Answer:
7.3
Step-by-step explanation:
There are 7 groups with 10 parts in each, 7 complete rows are filled in. 3 are left in the last row. This means that there are 7 wholes with 3 left over. 7.3
A department store buys 300 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup. The percent markup is 1%. (Round to the nearest whole number as needed)
Answer:
40%
Step-by-step explanation:
A department store buys 300 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup.
The formula for Percent Markup is given as:
Selling price - Cost price/Cost price × 100
Cost price = $3,600
Selling price = $20 × 300 shirts
= $6000
Percent Markup = $6000 - $3600/6000 × 100
= 2400/6000 × 100
= 40%
The percent Markup is 40%
Everyday the Norton Family restaurant serves 5/6 of a bottle is soda to their customers for how many days will 2 1/2 bottles of soda last ?
Which polygon(s) below are similar (not congruent) to polygon A? Mark the similar polygon(s) with true
Urgent!! Math!! What’s the answer to 2,3,4??
Answer:=25
Step-by-step explanation:
Answer:
2 is B
3 is C
and i'm pretty sure 4 is B
Step-by-step explanation:
the calculator says otherwise -.-
Thats the correct answer.
what is the difference between 1 and o.1978
Answer:
0,8022
Step-by-step explanation:
guess it helped
Ms. Rios washed 2 5 of her laundry. Her son washed 1 3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
The son has washed most of the laundry.
Step-by-step explanation:
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?
Answer:
P(15) = (200,000)(1.08)15 = 634,434
Step-by-step explanation:
If the population at the beginning of 2000 was 200,000
Then the growth equation is P = Po(1.08)(y) where year year 2000 was year 1 or y = 1
At the end of 2015 or 2015-2000 = 15 years later, or at the end of the 15th year
What is the value (m2h6w4)3
Answer:
The answer is 144 mhw
Answer:
[tex]3m^{2} 3h^{6}3w^{4}[/tex]
Step-by-step explanation:
[tex]3(m^{2} h^{6}w^{4})\\3m^{2} 3h^{6}3w^{4}[/tex]
WILL MARK BRAINLIEST HELP ASAP!! A caterpillar crawling in a straight line across a coordinate plane starts at point (—3, —4) and ends at point (25, 38). Counting the start point and end point, how many points with integer coordinates does the caterpillar touch?
Answer:
15
Step-by-step explanation:
The slope = [tex]\frac{change in y}{change in x} =\frac{38+4}{25+3} =\frac{42}{28} =\frac{3}{2}[/tex]
This means that when the caterpiller moves 2 units to the right, it moves 3 units up. Since 42/3 = 28/2 = 14. this happens 14 times from (-3, -4) to (25, 28). Counting the starting point (-3, -4) we get 14 + 1 = 15 points with integer coordinates.
i inserted a picture can you please help i dont get it thanks :)
Answer:
3V/pi r2=h
Step-by-step explanation:
pi is piπ
Choose the graph of the inequality - 3 > ..
Choose 1 answers
5
.4
-3
2
1
0
1
2
3
4
5
2
1
0
1
2
3
4
5
CO
-3
2.
0
1
3
4
5
Answer: 5
Step-by-step explanation: 5 isn’t equal to all
Definition: The number to which a base is raised to is called the___ this tells you how many times to multiply the base together
Answer:
power or give me the answer choices
Step-by-step explanation:
1. Adan and Darlene have entered the Pythagorean Lake Endurance Trial. Part of the
competition requires them to travel from Geoville, which is on the south side of the lake,
to Triple City, which is across the lake and due north of Geoville. Adan decides to ride
his scooter from Geoville to Angle Point, which is 20 miles due east of Geoville, and then
continue on to Triple City. There is a direct route that runs in a straight line for 25 miles
from Angle Point to Triple City. Adan's scooter can go no faster than 35 mph. Darlene
thinks she can beat Adan to Triple City by taking a fishing boat (average speed 12 mph)
directly from Geoville to Triple City. Who will get to Triple City first? Explain your
solution.
Answer:
Darlene will get there first
Step-by-step explanation:
I have uploaded the work
Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below arc summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage?
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Please find the complete question in the attachment file.
[tex]n_1 = 26 \\\\ x_1 = 16.12 \\\\s_1 = 3.58\\\\n_2 = 26\\\\ x_2 = 19.85 \\\\ s_2 = 4.51[/tex]
[tex]H_0: u_1 = u_2\\\\H_1: u_1 \neq u_2[/tex]
Using formula:
[tex]\to S^{2}_{p}=\frac{S^{2}_{1}(n_1 -1)+ S^{2}_{2}(n_2-1)}{n_1+n_2-2}[/tex]
[tex]\to Sp^2 = \frac{((26-1) \times (3.58^2) + (26-1) \times (4.51^2))}{(26+26-2)}[/tex]
[tex]= \frac{((25) \times 12.8164 + (25) \times 20.3401 )}{(26+24)}\\\\ = \frac{(320.41 + 508.5025)}{(50)}\\\\ = \frac{(828.9125)}{(50)}\\\\=16.57825[/tex]
[tex]\to Sp = 4.0716[/tex]
Calculating the value of standard error:
[tex]\to SE = Sp \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}[/tex]
[tex]=4.0716 \times \sqrt{\frac{1}{26}+\frac{1}{26}}\\\\=4.0716 \times \sqrt{\frac{1+1}{26}}\\\\=4.0716 \times \sqrt{\frac{2}{26}}\\\\=4.0716 \times \sqrt{\frac{1}{13}}\\\\=4.0716 \times 0.277 \\\\=1.1278332\\\\= 1.1293[/tex]
Calculating the value of test statistic:
Formula:
[tex]\to t = \frac{(x_1-x_2)}{SE}[/tex]
[tex]= \frac{(16.12 -19.85)}{1.1293}\\\\= \frac{(-3.73)}{1.1293}\\\\=-3.303[/tex]
Calculating the value of Degree of freedom:
[tex]= n_1+n_2 -2 \\\\= 26+26 -2 \\\\= 52 -2 \\\\= 50[/tex]
Because the P-value is a 2-tailed test = 0.0018
Thus they reject H0, because of P-value < 0.05,
Yeah, certain data show clearly that the means are different.
Surface Area of 40,40,40
Answer:
64000
Step-by-step explanation:
40×40×40
Multiply 40 and 40 to get 1600.
1600×40
Multiply 1600 and 40 to get 64000.
64000
Solve this system by using the elimination method. 2x + 3y = - 12 - x - 3y = 18
Answer:
Step-by-step explanation:
2x + 3y = -12
-x - 3y = 18
x = 6
-6 - 3y = 18
-3y = 24
y = -8
(6, -8)
The solution of the system by using the elimination method is (6, -8).
What is an Equation?An equation says that two things are equal. It will have an equals sign "="
How to solve it?
We have,
2x + 3y = -12
-x - 3y = 18
x = 6
Now,
-6 - 3y = 18
-3y = 24
y = -8
We got the solution:
(6, -8)
Learn more about Equations:
https://brainly.ph/question/4246696
#SPJ2
sinA•cosA•tanA+cosA-SinA.cotA give answer pls
Answer:
Step-by-step explanation:
Tan A = Sin A/Cos A
Cot A = Cos A / Sin A
Sin A*Cos A * tan A + Cos A * Sin A * Cot A
[tex]= Sin A * Cos A * \frac{Sin A}{Cos A} + Cos A*Sin A * \frac{Cos A}{Sin A}\\\\= Sin A * Sin A + Cos A * Cos A\\\\= Sin^{2} A + Cos^{2} A\\\\= 1[/tex]
Determine the permanent life insurance amount per thousand given that the policy belongs to a healthy 25-year-old
male with an annual premium of $4,072.2 and a face value of $110,000 on a 20-Year Endowment insurance policy
a $38.96
$37 67
b. $38.23
di $37.02
C
Answer:
The Answer is D
Step-by-step explanation:
Just took the quiz
Escribevel numero decimal que corresponde alos puntos intermedios que indican las flechas
Answer:
cualeeeeeeeeeeeeeeeeeeeeees fffffleeeeeccccchhhhaaaasssss
What is greater than 525.06 but less than 525.6?
Please help me with this, I have to turn it in today and I’ll give Brainly. please only answer if you know the answer...this is very important
The arcs on the Golden Gate Bridge.
I think about the Golden Gate Bridge, which is a suspension bridge.
As in any suspension bridge, a long cable is supported by two large supports.
The cable falls from support, in the form of a curve concave upwards, to a minimum point that is the vertex of the parabola, through which the axis of symmetry passes, and curves again upwards to ascend to the upper end of the other support.
As a unique feature of this parabolic arc, you can tell that the concavity is upward; the parabola opens upward.
Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.
The symmetry is clear because the curve to the left of the vertex is a mirror image of the curve to the right of the vertex. Hope I helped, have a good day!