Answer:
Border should be 1 ft wide
Step-by-step explanation:
The pool is 10 feet long and 6 feet wide.
Now, since the landscape contractor wants to make an exposed gravel border of uniform width. Let the uniform width of the border be x. Thus it means the length is now (10 + 2x) and width is now (6 + 2x).
We are told there is enough material to cover 36 square feet.. Thus;
New area - old area = 36
[(10 + 2x) × (6 + 2x)] - (10 × 60) = 36
4x² + 32x + 60 - 60 = 36
4x² + 32x = 36
Subtract 36 from both sides to get;
4x² + 32x - 36 = 0
Using quadratic formula, we have;
x = -9 or 1
We will pick the positive value as the width can't be negative.
Thus;
x = 1 ft
The table shows the results of a random survey about the mayor's performance. The mayor
is running for re-election. A total of 2,400 people are expected to vote in the election. Based
on the data, which is the most likely result?
Answer:
the mayor will lose in a close race
Step-by-step explanation:
If two sides of a triangle are 7 and 14, the third side may be?
The Chapin Social Insight Test evaluates how accurately the subject appraises other people socially. In the reference population used to develop the test, scores are approximately normally distributed with mean 25 and standard deviation 5. The range of possible scores is 0 to 41. a) What proportion of subjects in the population will have scores above 31
Answer:
0.11507
Step-by-step explanation:
Given that:
Mean (m) = 25
Standard deviation = 5
Proportion of subject in the population with score above 31
P(x > 31)
Obtain the standardized score of x = 31
Zscore = (x - m) / s
Zscore = (31 - 25) / 5
Zscore = 6 / 5
Zscore = 1.2
Hence, p(Z > 1.2)
Using the Z probability calculator :
p(Z > 1.2) = 0.11507
Help me with this pleaseeeeee
Answer:
7.8
Step-by-step explanation:
Use Pythogoras Theorem
a²+b²=c²
a²=36
b²=25
a²+b²=61
√61=7.8
hope it helps
Have a nice Day , I would appreciate it if you could mark my answer brainliest
Convert the following repeating decimal into a fraction. *
0.497
Answer:
497/1000
Step-by-step explanation:
sorry but that's as simplified as it gets
Which stalement correctly describes the diagram?
triangel b is a reflection of triangle a the x-axis triangle c
Translate into a variable expression.
18 added to Z
Answer:
z + 18 or z+18
if you want i can even put it in word form.
Answer:
zjsjsjwjs1 balducci howbto
Step-by-step explanation:
hendrickson
what is the nth term for
- 2, 7, 22, 43
Answer:
3n^2 - 5
Step-by-step explanation:
there are 18 boys and 46 girls in a class. 87.5% of the students in the class take the bus to school. How many students do nnot take the bus to school?
Find the area of this figure 115 ft 2 125 ft 2 60 ft 2 100 ft 2
Answer:
125
Step-by-step explanation:
divide the Figure into 3 parts
1 st = 5 X 10 =50
2nd = 5×10 =50
3rd = 5×5 = 25
total = 50+50 + 25 = 125
2. Find the area of a quadrant of a circle whose circumference is 22 cm.
Answer:
answer is 38.5 cm². Hope this helps
I really need help please asap
Answer:
[tex]\sqrt{8 m^{6} n^{3}}[/tex]
Step-by-step explanation:
9,240 yd= how many mi?
Answer:
5.25 miles
Step-by-step explanation:
Answer:
There is 5.25 miles in 9,240 yards
Step-by-step explanation:
1 mile is equal to 1760 yards, so the equation would be
9240/1760 = 5.25
Ayuda por favorrr lo necesito yaa
a house worth $350,000 when purchased was worth 335,000 after the first year and $320,000 after the second year. if the economy does not pick up and his trend continues, what will be the value of the house after 6 years? ( process step by step)
Answer:
260,000
15,000*6 = 90,000
350,000 - 90,000 = 260,000
Step-by-step explanation:
mark brainliest
A scientist studies the development of brain size in mice, believing that exposure to statistics videos is related to brain development.. After having mice intensively watch statistics videos, the scientist discovers that mice have doubled the size of their brains. After running a statistical test on the difference, the scientist obtained a p-value of .04. What should the scientist conclude, assuming an a
Answer:
The conclusion of the scientist should be that the results are statistically significant and that there is a high probability that the mice brains doubled in sizes after watching the videos
Step-by-step explanation:
The complete question is as follows;
A scientist studies the development of brain size in mice, believing that exposure to statistics videos is related to brain development.. After having mice intensively watch statistics videos, the scientist discovers that mice have doubled the size of their brains. After running a statistical test on the difference, the scientist obtained a p-value of .04. What should the scientist conclude, assuming an a=.05?
Solution;
We start by forming the null hypothesis
The null hypothesis H0 here is that;
The mice have not doubled the sizes of their brains after watching the the videos
While the alternative hypothesis H1 is that the mice have double their brain sizes after watching the videos
To know what to conclude, we will need to look at the p-value obtained
The p-value we have here is 0.04 which is less than 0.05 and thus , shows the existence of a strong evidence against the null hypothesis which means we will have to accept the alternative
Hence, the conclusion of the scientist should be that the results are statistically significant and that there is a high probability that the mice brains doubled in sizes after watching the videos
What is the reason for each step in the solution of the equation?
-6x = -2(a + 12)
Match the reason with the correct step in the equation.
Find the slope using the points (0, -2) and (3, 4)
A car can travel 400 miles on 16 gallons of gasoline. How much gasoline will it need to go 275 miles?
*HELP WILL GIVE BRAINLIEST!!!*
Answer:
11 miles.
Step-by-step explanation:
[tex]\frac{16 gallons}{400 miles} =\frac{x}{275 m}[/tex]
So x is the number of miles. This is a ratio problem, so if we had a situation like 1:2, when 1 changes 2 will accordingly change. 2:4. And 1:2 = 2:4.
So now to solve the equation. Cross multiply 16 and 275 = 4400. Cross multiply 400 and x. You'll end up with an equation like 400x = 4400. Then solve and you'll get x = 11. Hope this helps!
Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake. Jacob spent 3 hours and 45 minutes fishing, and it took 1 hour and 15 minutes to hike back. What time was it when Jacob got back to camp?
Include A.M. or P.M. in your answer Please help me fast!!
Answer:
7:15 A.M. 1 hour and 45 min = 105 min3 hour 45 min= 225 min1 hour and 15 min = 105 min105(2)+ 225= 435 min= 7 hours and 25 min. Add that to the original total you get 14:40 P.MAccording to a report in USA Today, more and more parents are helping their young adult children buy homes. You would like to construct a 90% confidence interval of the proportion of all young adults in Louisville, Kentucky, who received help from their parents in buying a home. How large a sample should you take so that the margin of error is no more than 0.06?
Answer:
The value is [tex]n = 188 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.06[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally will assume that the sample proportion young adults in Louisville, Kentucky, who received help from their parents in buying a home is [tex]\^ p = 0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.645}{0.06 } ]^2 * 0.5 (1 - 0.5 ) [/tex]
=> [tex]n = 188 [/tex]
(3, 4) and (5, -8)
a . 6
b . 1/2
c . 1/5
d . -2
Answer:
If you are looking for the slope, it equals -6
Step-by-step explanation:
(3,4) (5, -8)
[tex]\frac{4+8}{3-5}[/tex] = [tex]\frac{12}{-2}[/tex] = [tex]\frac{6}{-1}[/tex] = -6
Hey there!
The formula to this equation is: y2 - y1 /x2 - x1
• y2 = -8
• y1 = 4
• x2 = 5
• x1 = 3
EQUATION:
-8 - 4/5 - 3
-8 - 4 = -12
5 - 3 = 2
NEW EQUATION: -12/2
-12/2 = your answer
-12 / 2 = -6 because 2 • -6 = -12
Answer that you’re looking for: -6
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Guide to REMEMBER :
- Negative & Negative = Positive
- Negative & Positive = Negative
- Positive & Positive = Positive
- Positive & Negative = Negative
Write an equation in slope-intercept form of the line with slope −45 that contains the point (−5,−4).
Answer:
(-5,-4)x=45
Step-by-step explanation:
PLEASE HELP DUE AT 8:30 A.M. I WILL MARK BRAINLIEST! Thank you
Choose the correct solution to the equation:
1. 7B+ 4= 7B - 3
A. No Solution
B. Infinitely Many Solutions
C. One Solution
2. 2C-5=8C+7
A. No Solution
B. Infinitely Many Solutions
C. One Solution
3. 5A+7=3A+7+2A
A. No Solution
B. Infinitely Many Solutions
C. One Solution
Answer:
1. no solution
2. one solution
3. infinitely many solutions
Step-by-step explanation:
1. 4= -3
false
2. -5=6c+7
2=6c
c=3
3. 5a+7=5a+7
true
Answer:
No solution
One solution
Infinite number of solutions
Step-by-step explanation:
f(x)=3x2-15. find x if f(x)=-3
Step-by-step explanation:
Given
f(x) = - 3
Now
f(x) = 3x² - 15
-3 = 3x² - 15
3x² = 15 - 3
3x² = 12
x² = 12/ 3
x² = 4
x = + 2
Therefore x = + 2.
12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.
Answer:
467
Step-by-step explanation:
guys help I am stuck on this question I have to send my winter holiday
48 girls and 64 boys belong to the Twelve Mile Coulee School choir. The choir teacher plans to arrange the students into equal rows (the same number of students in each row). Only girls or boys will be in each row. What is the greatest number of students that could be in each row?
Answer:
16
Step-by-step explanation:
To find the greatest number of students that could be in each row, we need to find their greatest common factor. We can list out their prime factors first.
48: 2 × 2 × 2 × 2 × 3
64: 2 × 2 × 2 × 2 × 2 × 2
Here, their common prime factors are 2 × 2 × 2 × 2 which is 16. Thus, the greatest number of students that could be in each row is 16.
No. of rows in the girls = 48 ÷ 16
= 3
No. of rows in the boys = 64 ÷ 16
= 4
Answer:
Step-by-step explanation:
I believe for this question you need to find the HCF (or GCF you may say) of 48 and 64
HCF - Highest Common Factor
GCF - Greatest common Factor
First, prime factorize 48 and 64 (write them in the product of their prime numbers)
64 = 2 × 2 × 2 × 2 × 2 × 2
48 = 2 × 2 × 2 × 2 × 3
Choose common prime factors (all of them that are common)
on observation, there is 2 × 2 × 2 × 2 common between both of them
which is 16.
So 16 maximum people in each row
Also additional thing, it's fine if some questions were wrong, try and attempt it yourself first before asking it from someone. Getting used to ask someone is going to be troublesome in the long run. If you get stuck, then get help from your teachers (unless the teacher is unco-operative) in which case, seek help from your friends, or talk to your parents about it if you freely share stuff with them.
But anyway, hope that helps ^
Kaitlin received a $2100 bonus. she decided to invest in a 2 year certificate of deposit with an annual interest rate of 1.13% compounded monthly.
Assuming no withdrawals are made, how much money is in kaitlins account after 2 years?
How much interest is earned on kaitlins investment after 2 years?
Answer:
interest rate is .000951667 and total interest gained is 47.98 and total money in the bank account is 2147.98
Step-by-step explanation:
you have to find the interest rate then multiply it by 1 year then put it to the power of 24. 24 because you have 34 months in 2 years
Can someone help with this ?
Answer: b=-12
Step-by-step explanation:
120/-10 = -12
-10b/-10 = b
b=-12
Answer:
b= -12
Step-by-step explanation:
you would divide -10 on both sides of the equation and get -12= b or b= -12.
Find the largest three-digit number that can be written in the form 3^m + 2^n, where m and n are positive integers.
Answer:
985
Step-by-step explanation:
[tex]let\ m=6[/tex]
[tex]3^{6}=729[/tex][tex]999-729=270[/tex]
[tex]2^{8}=256[/tex] and [tex]2^{9}=512[/tex] which would be to big of a number.
[tex]3^{6}+2^{8}=729+256=985[/tex]
Therefore the largest three-digit integer in this system is 985
