Answer:
39,739
Step-by-step explanation:
The formula for exponential growth regarding this situation would be y=32600(1+0.02)^10, because 32600 is our initial amount, 1.02 is our growth rate, and 10 is the number of years. after putting it into a calculator you get 39.739.
Write an expression for the area of each section of the wall.
***NOTE, that x is the TOTAL length of the rectangle so you can't call x the length of each of the 5 sections.
Answer:
50
Step-by-step explanation:
10*5=50
The height of a triangle is 7 inches greater than the base. The area of the triangle is 225 square inches. Find the length of the base and the height of the triangle.
Answer:
Height is 25in
Base is 18in
Step-by-step explanation:
225=[x*(x+7)]/2=[x^2+7x]/2
450=x^2+7x
x^2+7x-450=0
(x+25)(x-18)=0
A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof residential backyard decks. With cooperation of several builders in the area, they randomly assign 38 newly constructed decks to be treated with Very Clear deck sealant and another 37 newly constructed decks to be treated with Sure Seal deck sealant. After one year of being exposed to similar weather conditions, the decks are rated on a scale of 1 to 100. The mean rating for the decks treated with Very Clear is 89.2 with a standard deviation of 3.1. The mean rating for the decks treated with Sure Seal is 92.4 with a standard deviation of 3.8.
Required:
What represents the 90 percent confidence interval to estimate the difference (Very Clear minus Sure Seal) in mean ratings for the two deck sealants?
Answer:
(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)
Step-by-step explanation:
Very clear deck :
n1 = 38
x1 = 89.2
s1 = 3.1
Sure seal
n2 = 37
x2 = 92.4
s2 = 3.8
Confidence interval for difference in sample means :
(X1 - X2) ± margin of error
(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))
Using the degree of freedom calculator ; df = 70
Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))
Tcritical at 90% confidence interval, df = 70 = 1.688
Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)
Confidence interval :
(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)
What's the circumference of a
circle with a diameter of 9 inches?
Use 3.14 for n.
Answer:
28.26 in
Step-by-step explanation:
Radius = (1/2) diameter
Radius = (1/2)(9)
Radius = 4.5 in
Circumference = 2πr
Circumference = 2(3.14)(4.5)
Circumference = 28.26 in
16ft by 24ft what is the are?
Can someone please help me I will mark u brilliant
Answer:
I believe the answer is 3 3/4.
Step-by-step explanation:
the volume of a rectangular prism is length × width × height
Answer: The volume is 3 3/4 cubic inches.
Step-by-step explanation:
V= l*w*h
V= 1 1/4* 1 1/2*2
v= 3 3/4
Your weekly allowance is $15. You spent 30% How much did you spend?
Answer:
You would have spent $4.50
Step-by-step explanation: Divide 100 by 30 and multiply to 15. So it will look like: 30/100*15= $4.50. I hope this helps
If a fraction is equal to 2/9
and the sum of the numerator and denominator is 99, what is the fraction?
Answer:
18/81
Step-by-step explanation:
the current fraction adds up to 11 so to get 99 you would need to multiply both the numerator and the denominator by 9 to get a sum of 99
so 2 x 9 = 18 and 9 x 9 =81
so answer is 18/81
i need help with this math question
Answer:
it is S
Step-by-step explanation:
because it is being reflected on the X-axis
Answer:
point R
Step-by-step explanation:
If you move point R across the x-axis, and then up the y-axis, you meet point Q
An unknown number y is 12 more than an unknown number x. The number y is also x less than 17. The equations to find x and y are shown below.
y = x + 12
y = −x + 17
Which of the following statements is a correct step to find x and y? (4 points)
a
Multiply the equations to eliminate y.
b
Write the points where the graphs of the equations intersect the x-axis.
c
Write the points where the graphs of the equations intersect the y-axis.
d
Add the equations to eliminate x.
Answer:
d because then you can solve for y then use your answer to find x
Answer:
the answer is D even tho you asked a month ago i figured i can still answer
Step-by-step explanation:
what fraction belongs in the box?
l_i_i_i_i_l_i_i_i_i_l_i_i_i_i_l_i_i_i_i_l_i_i_i_i_l___
0 1 2 3 4
*box
helpppp meeee! pleaseeee!
Answer:
9
11
17
25
Step-by-step explanation:
Input the x into the equation
Answer:
2×2+5=9
2×3+5=11
2×6+5=17
2×10+5=25
Tara has 4 and 4 over 5 feet of rope.
Part A: How many 2 over 5 foot pieces can Tara cut from the 4 and 4 over 5 feet of rope? Show your work. (5 points)
Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)
I already got part a correct but I need help with part b, I don't understand it cause I'm d u m b pls help
9514 1404 393
Answer:
A) 12 pieces
B) the meaning of the quotient is that Tara got 12 pieces of length 2/5 ft from her 4 4/5 ft rope
Step-by-step explanation:
A) (4 4/5)/(2/5) = (24/5)/(2/5) = 24/2 = 12
Tara can cut 12 pieces from the rope.
__
B) The quotient is the answer to the question. The meaning of it is that Tara can get 12 pieces from the rope, in answer to the question, "how many pieces can Tara cut?"
It doesn't matter whether the numbers are whole numbers, decimals, fractions, or even irrational numbers. The whole is the sum of the parts, so the number of parts is equal to the size of the whole divided by the size of a part.
_____
Comment on the question
This sort of question seems to appear a lot in modern "common core" math materials. They tell you "x means <such and such>", and then they ask you, "What is the meaning of x?" It seems to be a reading comprehension exercise. Of course, the meaning of x is <such and such>, just as the problem statement tells you.
please help i don't know what to do
A slope and x-intercept
B slope and y-intercept
C Slope and a point that is not an intercept
D x-intercept and y-intercept
E y- intercept and a point that is not an intercept
F two points that are not a intercepts
Answer:
5
It is that because I know this
The average annual cost of the first year of owning and caring for a cat is $1,500. A sample of 81 will be used. Based on past studies, the population standard deviation is assumed known with σ = $198. What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?
Answer:
The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Sample of 81
This means that [tex]n = 81[/tex]
What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{198}{\sqrt{81}}[/tex]
[tex]M = 43.12[/tex]
The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.
What is the area of the triangle?
Answer:
30 units²
Step-by-step explanation:
a=1/2 ×length × width
a=1/2 × 12 ×5
a=6×5
a=30units squared
Surface Area Homework (Help)
HELP! WILL GIVE BRANLIEST!
Answer:
A cone
Step-by-step explanation:
It volume it 42.411
Chloe asked students in her school band these two questions.
Question 1: How many days per week do you practice your instrument?
Question 2: How many times will our band perform this year?
Use the drop-down menus to explain whether each question is a statistical question.
Question 1
Choose
a statistical question because each student's answer will be
Choose...
Question 2 Choose.
a statistical question because each student's answer will be
Choose the options to the question is is and is not
Answer:
Question 1: Statistical
Question 2: Not Statistical
Step-by-step explanation:
Given
Question 1 and 2
Required
Are they statistical questions?
A question is said to be statistical if it can be answered through data collection and if there are variances in the collected data.
Using this yardstick, we can say that (1) is a statistical question because the frequency at which the band perform in a week can be determined by gathering data of their past practice.
This can not be said of (2) because (2) has not been done yet, there is no available data to make predictions and lastly, the variance of an unavailable data can not be determined.
Ethan earns $12 per hour for walking Ms. Barns's two dogs, plus an additional $7 for brushing the dogs after their walk.
→ Let x represent the hours Ethan works.
→ Let y represent the total he earns each day.
Which number sentence best represents this situation?
A. 12 + 7 + 2 = y
B. 12x · 2 + 7 = y
C. 12x + 7 = y
D. 12x - 7 = y
Answer:
i think the answer is C. 12x+7=y :)
Step-by-step explanation:
what is the answer to this?
Classify the angle pair using all names that apply
Answer:
Vertical and supplementary
Step-by-step explanation:
Angles 1 and 2 are Vertically opposite angles and therefore they are equal to each other.
There are 3 students in the class and 27 apples. If the apples are shared equally by all of the students. How many apples will each student get? Please write your answers in complete sentences.
Answer:
9(Nine)
Step-by-step explanation:
9 × 3 = 27
so Each student will get 9 apple's
what is 15x-24x, this is very urgent please
Answer:
-9x
Step-by-step explanation:
Miguel has $30. He spends $6.00 on a movie ticket, $3.80 for snacks, and $1.00 for bus fare each way.
How much money does Miguel have left?
Miguel has $ left.
Answer:
answer is 19.2 left ........
Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 6 people, and there are 6 different possible weapons and 9 possible rooms. At one point in the game, you have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer:
the required probability is 0.0071
Step-by-step explanation:
Given the data in the question;
we have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms.
so total number of combinations for the narrowed down metrics is computed as follows;
using multiplication rule:
⇒ 4 × 5 × 7 = 140 ways
Now, the probability of making a random guess from our narrowed down choices as well as getting the guess correct will be;
⇒ 1 / 140
{ assuming that the narrowed down choices have within it the correction combination }
= 0.007142 ≈ 0.0071 { four decimal place }
∴ the required probability is 0.0071
Find the surface area of the prism , need help and steps fast please!!
Answer:
190cm squared
Step-by-step explanation:
The surface area formula and a surface area calculator both gave this answer. Hope you do good on your assignment.
Examine the diagram, where quadrilateral HIJK is inscribed in OC.
H
RD
K
112
1
J
© 2016 StrongMind. Created using GeoGebra.
If mZIJK = 112°, what is mZIHK?
Answer:
m<IHK = 68°
Step-by-step explanation:
In an inscribed quadrilateral, opposite angels are supplementary. This means that the sum of the opposite angles in am inscribed quadrilateral equals 180°. One is the supplement of the other.
Therefore,
m<IHK = 180 - m<IJK
m<IHK = 180° - 112°
m<IHK = 68°
Which expression is equivalent to ? Assume
[(2x³y⁴)² × 2x]½
(2x³y⁴)½ ×(2x)½
2x³y⁴(2x)½
6. Alice is covering a foam cube with fabric to make a footstool. Each side of the cube is 20 inches. How
many square inches of fabric will she need?
120 in? of fabric
0 720 in.of fabric
1,200 in? of fabric
2,400 in 2 of fabric