Answer:
Let x represent one of the equal length sides making the third side which is 3 inches shorter than each of the other two equal to:
Third piece = x − 3 . Knowing that the whole board is 10 feet, in inches it is:
10 feet × 12 inches / 1 foot = 120 inches
To find the length of the pieces, add them and equate it to the legth of the board in inches as shown below:
x + x + x − 3 = 120 + 3
3 x /3 = 123 /3
x = 41 inches
Third piece = x − 3 =
41 − 3
= 38 inches
Step-by-step explanation:
Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required
Answer:
A sample size of 1031 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
37% of freshmen do not visit their counselors regularly.
This means that [tex]\pi = 0.37[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?
A sample size of n is required.
n is found when M = 0.035. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}[/tex]
[tex]0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}[/tex]
[tex]\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2[/tex]
[tex]n = 1030.4[/tex]
Rounding up:
A sample size of 1031 is required.
Factor 5a2 - 30a + 40.
A) 5(a - 2)(a + 4)
B) (a - 20)(a - 2)
O C) 5(a - 2)(a - 4)
OD) (5a - 5)(a - 8)
John is giving out chocolate to his friends. If he wants to give each friend 23
of a chocolate bar and he has 13 friends, how many chocolate bars will he
need to buy?
Answer:
299
Step-by-step explanation:
23x13 = 299
The population of leave town is 1-23,560 and is decreasing at a rate of 1.5%
each
year.
a) when will the population of Leavetown drop below 47,000 Cto the nearest
year)?
b) what will the population of leavetown be years from now?
Answer: a is correct
Step-by-step explanation:
At 25 years
Step-by-step explanation:
123,000 x 2.375% = 2,921.25. This gives you the rate that the population is decreasing. How long will it take to get to 50,000. Do reverse operations to find this answer: 123,000 - 50,000 = 73,000, the population need to decrease by 73,000 to get to 50,000. So let's multiply our rate of 2,921.25 x 25 = 73,031 and our final step.. 123,000 - 73,031 = 49,969 below 50,000
BRAINLIST PLEASE CAN I GET BRAINLIST
Solve for x.
x+14
15x - 74
x = [?]
Enter
Answer:
###########
Step-by-step explanation:
Answer:
Solution given:
x+14=5x-74[corresponding angle]
74+14=5x-x
x=88/4
x=22
Select all ratios equivalent to
22:10.
11:5
110:50
33:15
Answer:
All the 3 choices are correct.
Step-by-step explanation:
11:5 11 divided by 22 is 1/2 and 5/10 is 1/2
110/50 110 divided by 22 is 5 and 50 divided by 10 is 5
33/15 33 divided by 22 is 1 1/2 and 15 divided by 10 is 1 1/2
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Samuel sets up a website where players can
buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
81 visitors purchased no costume.
17 visitors purchased exactly one costume.
2 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no
more than one costume as a fraction in simplest form.
Answer: 49/50
Step-by-step explanation:
81 + 17 + 2 = 10
98/100 = 49/50
The probability as a fraction in simplest form is 49/50.
I need answer tho this please help me
Answer:
there is two diagram 2,3, 4 and 5 this is the answer give
If x = 3 cm and z = 5 cm, what is the length of y? A. 3 cm B. 0.5 cm C. 4 cm D. 5 cm
If x = 3 cm and z = 5 cm, what is the length of y? A. 3 cm B. 0.5 cm C. 4 cm D. 5 cm
ans.C.4cm
Determining the Type of Function
What type of function is represented in the table?
Answer:
quadratic
Step-by-step explanation:
Geometry help needed!
Answer:
AC Midpoint (2,0)-
CB Midpoint (5,-4)
midlength is 5
Step-by-step explanation:
midpoint formula [tex](\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2} }{2})[/tex]
A(2,4) C(2,-4)
[tex]\frac{2+2}{2} =\frac{4}{2}=2\\\frac{4-4}{2} =\frac{0}{2} =0[/tex]
(2,0)
C(2,-4) B(8,-4)
[tex]\frac{8+2}{2} =\frac{10}{2} =5[/tex]
[tex]\frac{-4-4}{2} =\frac{-8}{2} =-4[/tex] midpoint is (5,-4)
Distance between the 2 midpoints is the midsegment
(2,0) and (5,-4)
[tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}) ^{2} }[/tex]
[tex]d=\sqrt{(5-2)^{2} +(-4-0)^{2} } \\d=\sqrt{3^{2} +(-4^{2})\\ } \\d=\sqrt{x} 9+16\\d=\sqrt{25} \\d=5[/tex]
The May 1, 2009, issue of a certain publication reported the following home sale amounts for a sample of homes in Alameda, CA that were sold the previous month (1,000s of $). 591 820 575 607 349 1,288 412 543 557 676 A button hyperlink to the SALT program that reads: Use SALT. (a) Calculate and interpret the sample mean and median. The sample mean is x
The sample mean is $641.80 thousand and the sample median is $583 thousand.
This means that the average sale price for a home in this sample was $641.80 thousand and that half the sales were for less than the median price and price and half the sales were more than the median price.
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
sum of the numbers = $ (591 + 820 + 575 + 607 + 349 + 1,288 + 412 + 543 + 557+ 676) = 6418
total number = 10
Mean = $6418 / 10 = $641.80
= $641.80 thousand
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Arranging the prices in ascending order : 349, 412, 543, 557, 575, 591, 607, 676, 820, 1288
The two numbers in the middle of the set of numbers are 575 and 591
Median = (575 + 591) / 2 = $583
$583 thousand
To learn more about median, please check : https://brainly.com/question/300591?referrer=searchResults
Please answer the question correctly with factual information for brainliest.
Answer:
4.5
Step-by-step explanation:
[tex]4= \sqrt[3]{64}\\5 = \sqrt[3]{125}[/tex]
[tex]\sqrt[3]{100}[/tex] is in between [tex]\sqrt[3]{64} \\[/tex] and [tex]\sqrt[3]{125}[/tex] so that means that the answer is between 4 and 5 so the best answer is 4.5.
Ed solved a puzzle minute faster than Brett. Brett solved the
puzzle in 98 seconds. How many seconds did it take Ed to solve
the puzzle?
Show your work.
NEED HELP ASAP!!!! 100 points up for grabs.
An expression is shown below:
6(m + 2 + 7m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Answer:
part a: 6m+12+42m
48m+12=0
m = -0.25
Answer:
Few expression are shown below :-6(2m+2+6m) , 6 (3m + 2+4m) , 3 (2m+4+14m)6(m+2+7m)Equivalent expression include:-6(8m+2)48m +126(2m+2+6m) , 6 (3m + 2+4m) , 3 (2m+4+14m)Putting the value of m = 1 we get6(m+2+7m) = 6(1+2+7)=606(2m+2+6m) = 6(2+2+6) = 60Similarly we will put the value till 3(2m +4+14m) = 6048m + 12 = (48×1 +12)=60This proves that all values are equal. Hence verification is done.Learn More:-To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.To get the answer, solve the equation for the variable. Then plug that variable value into the expression and simplify to get the answer.
Correctly identify step 3 and 4 of the accounting process:
Answer:
Step 3: record transactions into the journal; Step 4: post entries into the ledger
I think you are happy with this answer
The first 5 terms in a pattern are
shown below.
25 13 27
-6,-4' 2' 4-7
If the pattern continues, which
equatior. could be used to find the nth
term?
Answer:
Option B. m(n) = –5.75 –¼n
Step-by-step explanation:
The sequence is given below:
–6, –25/4, –13/2, –27/4, –7
Next, we shall determine the common difference.
Common difference (d) = 2nd – First
2nd term = –25/4
First term = –6
d = –25/4 – – 6
d = –25/4 + 6
d = –6.25 + 6
d = –0.25 = –¼
Finally, we shall determine the nth term
Tₙ = a + (n –1)d
First term (a) = –6
Common difference (d) = –¼
Tₙ = a + (n –1)d
Tₙ = –6 + (n –1)–¼
Tₙ = –6 –¼n + ¼
Tₙ = –6 + ¼ –¼n
Tₙ = –6 + 0.25 –¼n
Tₙ = –5.75 –¼n
Thus, the nth term is given by:
m(n) = –5.75 –¼n
What’s the correct answer????
Answer:
$39
Step-by-step explanation:
(hope you get a 100%:))
Francesa buys 25 songs from an online business. Each song costs $1.99. She pays a total of $52.74 for 25 songs.
Answer:
2.99
Step-by-step explanation:
if you are trying to ask what she payed for tax the anwser is above
HELP FAST I GIVE BRAINLIEST
Answer:
1st option (c = 15.00 + 3.50n)
Step-by-step explanation:
Answer:
A. c=15.00+3.50n
Step-by-step explanation:
We can find how much a single charm costs by taking the 2nd term and subtracting it by the first.
22.00-18.50=3.50
A charm is $3.50.
We can also find the initial price of the bracelet by taking the first term and subtracting off one charm.
18.50-3.50=15.00
The bracelet by itself is $15.00
Knowing n goes up by a rate of 3.50 and the initial price is 15.00, we can find the answer is
A. c=15.00+3.50n
pls help. I will mark BRAINLIEST
Estimate: 5+81.65
HELP
PLEASE
Answer: 5+81.65≈85
How to: Estimate.
Have a great day and stay safe !
Solve for xxx in the diagram below
Answer:
x=20°
Step-by-step explanation:
x° + 100° + 3x° = 180° => 4x°+100°=180° => 4x=180°-100°=80° => x=80° : 4 = 20° => x=20°
The value of angle x will be equal to 20°.
What is a supplementary angle?If two angles sum up to 180 degrees, they are referred to as supplementary angles. A straight angle is created by supplementary angles (180 degrees)
The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Given that the three angles are x, 3x, and 100 degrees. The value of the angle x will be calculated as below:-
For supplementary angles, the sum of the angles is 180 degrees.
x° + 100° + 3x° = 180°
4x°+100°=180°
4x=180°-100°=80°
x=80° : 4
x=20°
Therefore, the value of angle x will be equal to 20°.
To know more about supplementary angles follow
https://brainly.com/question/17706490
#SPJ5
Is a triangle with the side lengths 4 feet, 7.5 feet, and 8.5 feet a right triangle? Why or why not?
Answer: Yes, it is a right triangle
Step-by-step explanation:
Use the pythagorean theorem in order to determine whether this triangle is a right triangle. Plug in the values given in the problem (4, 7.5, and 8.5) into this equation (a^2+b^2=c^2). This gives you 4^2+7.5^2=8.5^2, and this equation is valid because 4^2+7.5^2 does equal 8.5^2.
Answer:
Yes, because 4^2+7.5^2=8.5^2.
Step-by-step explanation:
Slay just did this on my test good luck
Malia and her sister walk at a constant rate of 4 miles per hour.
At this constant rate, how far can Malia and her sister walk in 1.5 hours?
Answer:
6mi per 1.5h
Step-by-step explanation:
4miles per 1h
6miles per 1.5h
4×1.5=6
Tucker and Jeremy went scuba diving in the ocean together. Tucker dove to a depth of -115 feet, while
Jeremy dove to a depth of -109 feet. Who dove deeper into the ocean?
HELP WILL MARK BRAINLIEST
F'(x)=2x+17 f(1)=7 what is f(0)
9514 1404 393
Answer:
f(0) = -11
Step-by-step explanation:
The function f(x) is found by integrating its derivative. The constant of integration is found from the given point.
[tex]\displaystyle f(x)=\int{f'(x)}\,dx=\int{(2x+17)}\,dx=x^2+17x+c\\\\f(1)=7=1^2+17\cdot1+c\quad\rightarrow\quad c=-11\\\\f(0)=0^2+17\cdot0-11\\\\\boxed{f(0)=-11}[/tex]
what is the coefficient of the third term in the following expression? 4+9s+g
9514 1404 393
Answer:
1
Step-by-step explanation:
The third term is g. It is equivalent to 1g. (A coefficient of 1 is rarely shown.) The coefficient is the constant multiplier of the variable expression. In the third term, the coefficient is 1.
Find the distance between the two points in simplest radical form.
(-1,2) and (-7, -6)
Answer:
10
Step-by-step explanation: