Answer:
Step-by-step explanation:
The raked portion is 5/12 plus 4/9, or (applying the LCD, 36),
20/36 + 24/36.
The sum of these two fractions is 44/36, or 1/9.
1/9 of the yard remains to be raked.
Find the sum of the first five terms of the geometric series 50 + 25 + 12.5 +
The answer for this question is 6.25
Solve the formula Ax + By = C for X
Answer:
Step-by-step explanation:
Ax+By=C
Ax=C-By
x=C-By/A
Which equation is written in factor form?
Three baseball players are playing catch. Jessica is directly south of Aaron and directly west of Mike. Jessica and Mike are 8 meters apart and Mike and Aaron are 10 meters apart, How far apart are Jessica and Aaron?
Answer:
6 m
Step-by-step explanation:
The diagrammatic illustration of the problem. Is attached
The diaabcw between Aaron and Jessica can be obtained using Pythagoras :
d = √(10² - 8²)
d = √100 - 64
d = √36
d = 6
You weigh a random sample of adult golden retrievers and get the following results: 55, 64, 58, 61, 69, 64, 59, 69, 72, and 65. Which answer gives a 98% confidence interval for the mean of the population
Answer:
The 98% confidence interval for the mean of the population is (59, 68.2).
Step-by-step explanation:
Before building the confidence interval, we need to find the sample mean and the sample standard deviation.
Sample mean:
[tex]\overline{x} = \frac{55+64+58+61+69+64+59+69+72+65}{10} = 63.6[/tex]
Sample standard deviation:
[tex]s = \sqrt{\frac{(55-63.6)^2+(64-63.6)^2+(58-63.6)^2+(61-63.6)^2+(69-63.6)^2+(64-63.6)^2+(59-63.6)^2+(69-63.6)^2+(72-63.6)^2+(65-63.6)^2}{10}} = 5.142[/tex]
Confidence interval:
We have the standard deviation for the sample, and thus, we use the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.821
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.821\frac{5.142}{\sqrt{10}} = 4.6[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 63.6 - 4.6 = 59
The upper end of the interval is the sample mean added to M. So it is 63.6 + 4.6 = 68.2.
The 98% confidence interval for the mean of the population is (59, 68.2).
Puzzle- Please help me with this question
Answer:
Step-by-step explanation:
Multiply the two top numbers together. Then record the first digit of the answer.
5*4 =20 Record 2
9*8 = 81 Record 8
3*6 =18 Record 1
7*5 = 35 Record 3
A wall has an area of 40 square feet. Its
height is 8 feet. Which equation could you
use to find its width?
if the vertex of triangle abc is A(2, 3) B(4, 5) C(6, 2) . find the reflection of it through y axis
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A (2, 3 ) → A' (- 2, 3 )
B (4, 5 ) → B' (- 4, 5 )
C (6, 2 ) → C' (- 6, 2 )
Which best describes the relationship between the successive terms in the sequence shown?
9, -1, -11, -21,
The common difference is -10,
The common difference is 10
The common ratio is -9)
The common ratio is 9.
Answer:
the common difference is 10
Find the length of side y.
y=_ft
Answer:
x= 0.22947
Step-by-step explanation:
Step-by-step explanation:
x=0 22 im not sure though ok
Solve the following equation for x: 6( 4X +5) = 3( X +8) +3
Answer:
x= -1/7
Step-by-step explanation:
Which of the following is equal to the expression below?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
Answer:
D
hope this helps
PLEASE ANSWER DONT IGNORE ): I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
(this is a big part of my grade)
Answer:
Niether of them are correct
Step-by-step explanation:
If you actually put into your calculator 2^28, it equals 268,435,456. This is because you're not just squaring 28, you are multiplying 2 by 2-- 38 times. This will quickly add up, even if you start out with 2 it will create a very large number.
which expression is equivalent to (5^-2) ^5 x 5^4
Answer:
6.4 × 10 ^-5
Step-by-step explanation:
(0.04)^5 × 625 = 6.4 × 10^-5 (6.4e-5)
Solve for t 8t-{(6t-1)/2}=5
I'm not sure how to go about a removing the fraction here. I'm 20 years rusty.
Answer:
t=9/10 Hope that helped
if there consecutive terms of an AP are k+2 ,4k -6 and 3k-2 . What is the value of k
===========================================================
Explanation:
A = first term = k+2B = second term = 4k-6C = third term = 3k-2To go from the first term to the second term, we add on some common difference d.
So,
B = A+d
B = (k+2)+d
4k-6 = k+2+d
4k-6-k-2 = d
d = 3k-8
---------------
Similarly, to go from the second term to the third term, we also add on d
C = B+d
C = (4k-6)+d
C = (4k-6)+(3k-8)
C = 7k-14
3k-2 = 7k-14
---------------
Let's solve for k
3k-2 = 7k-14
-2+14 = 7k-3k
12 = 4k
4k = 12
k = 12/4
k = 3 is the final answer
---------------
If k = 3, then we have these three terms:
A = k+2 = 3+2 = 5B = 4k-6 = 4(3)-6 = 6C = 3k-2 = 3(3)-2 = 7The arithmetic progression (AP) is 5, 6, 7. The common difference is d = 1.
Note how d = 3k-8 = 3(3)-8 = 1
Can someone help with this one
Answer:
2 bicycles
Step-by-step explanation:
let no. of bicycles be xno.of tricycles = (6 -x)as there were 5 bicycles and tricycles
now,
a bicycle has 2 wheels a tricycle has 3 wheelstotal no.of wheels = 16
2x + 3(6 - x) = 16
2x + 18 - 3x= 16
2 - x = 0
2 = x
therefore, there are 2 bicycles.
Add the following
-5+(-7)+9+(-3)
- 5+(-7)+9+(-3)=(Simplify your answer.)
Answer:
-5+(-7)+9+(-3) = -6
Step-by-step explanation:
We need to add the following i.e.
-5+(-7)+9+(-3)
We know that, +(-) = - (minus)
So,
-5-7+9-3 = -12+6
= -6
So, the value of the given expression is equal to -6.
Which of the following have
a value equal to [-12]?
Answer:
option 3) ii, iv, v
Step-by-step explanation:
|-12| means write the absolute value, which means just the number without the sign.
Therefore |-12| = 12
So, ii. 12
iv. |12| is also = 12
v. -( -12) is also = 12
Answer:
12.00000000000000000
What is 17 % of 3,000?
Answer:
510
Step-by-step explanation:
17% of 3000 would be 17 in 30 hundreds, think about it that way
PLEASE HELP!
A news story needs to be shared 1,500,000 times in 5 days to get featured on a talk show. The exponential model y=5⋅7x represents the number of shares, y, a news story receives in x days.
About how many days will it take for a news story to reach 1,500,000 shares?
Answer:
It will take 8.17 days for a news story to reach 1,500,000 shares.
Step-by-step explanation:
Note: The correct exponential model is as follows:
y = 5⋅7^x ......................................... (1)
Where:
y = 1,500,000
x = ?
Substituting y = 1,500,000 into equation (1), we have:
1,500,000 = 5⋅7^x ........................ (2)
Taking the natural log of both sides of equation (2) and solve for x, we have:
ln1,500,000 = xln5.7
x = ln1,500,000 / ln5.7
x = 14.2209756660724 / 1.7404661748405
x = 8.17241379310345
Approximating to 2 decimall places, we have:
x = 8.17
Therefore, it will take 8.17 days for a news story to reach 1,500,000 shares.
I don’t understand the steps for this problem
Answer:
-53
Step-by-step explanation:
You start off with the g of x equation
then you substitute -5 for the x value
after you solve that, you should get g of x = 23
then you take the f of x equation and plug 23 in for x
then you simplify that and you should end up with an answer of -53
Step-by-step explanation:
i just need points so i can ask my questions
Use the formula C = 2nr and = 3.14 to find the circumference of a circle with a radius of 5 meters
Answer:
31.4
Step-by-step explanation:
C = 2 x 3.14 x 5
C = 10 x 3.14
C = 31.4
In a recent student government election, the ratio of students who voted for the winner to all the students who voted was 0.55. The number of students who voted was 60. How many votes did the winner get?
Find the quotient of these complex numbers (6-I) divided by (4+3i)=
Answer:
[tex]\frac{21}{25} -\frac{22}{25} i[/tex]
Step-by-step explanation:
We can start by writing the division as a fraction:
[tex]\frac{6-i}{4+3i}[/tex]
In order to rationalize the denominator, we need to multiply by the conjugate:
[tex]\frac{6-i}{4+3i} *\frac{4-3i}{4-3i}\\\\\frac{(6-i)(4-3i)}{4^2-(3i)^2}\\\\\frac{24-18i-4i+3i^2}{16+9}\\\\\frac{24-22i-3}{25}\\\\\frac{21-22i}{25} \\\\\frac{21}{25} -\frac{22}{25} i[/tex]
Help!!!!!!!!!!!!!!!!!
Answer:
the answer is one hundred and eight 108
Step-by-step explanation:
108 bro trust me
the perimeter p of a square is 4 times the length of a side x
Answer:
p = 4x
Step-by-step explanation:
The perimeter p of a square is 4 times the length of a side x
p = 4x
If there are 8 people, and each person has 4 coins, there are ____ times as many coins as people.
Answer:
2 times
Step-by-step explanation:
Answer:
4 times
Step-by-step explanation:
8 x 4 = 32 total coins
32÷8 = 4
Therefore, there are 4 times as many coins as people.
Hope this helps! :)
A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is
PA and B)?
Answer:
0.15
Step-by-step explanation:
What type of shape is pentagon
Answer:Polygon
Step-by-step explanation: