Answer: 7.5
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year,
then, solving our equation
I = 1200 × 0.075 × 2 = 180
I = $ 180.00
Angle A corresponds to Angle
OB
Oc
ОЕ
OD
none of the above
Answer:
A corresponds to angle E
Pls help ASAP. Pls and thx.
Answer:
(assuming the. values are the shaded areas)
area = x^2 + 2x +2
perimeter = 4x + 8
Step-by-step explanation:
you have all the side except the side of the 2 squares at the top.
The squares are 1 unit on each side because the area of the 2 slender rectangles on each side is x.
So the area is x^2 + x + x + 1 + 1
The perimeter is 1+x+1+1+1+x+1+1+1+x+1+x
(starting from the lower left side and walking around the perimeter clockwise)
The local street cart sells bacon egg and cheese sandwiches for $2.50, and soft drinks for $0.75. The street vendor made a total of $933 after selling a total of 747 sandwiches and soft drinks.
thanks:b
Answer:
Step-by-step explanation:
The blue segment below is a radius of oo. What is the length of the diameter of the circle?
Answer:
Diameter = 25.4 unitsStep-by-step explanation:
radius = 12.7
Diameter = 2 × radius
= 2 × 12.7
= 25.4 units
Fill in the blanks
will choose brain
Mr. Simpson has 5 boxes of paintbrushes in his art room. After the first week of school, he buys 3 more paintbrushes. The expression below shows the total number of paintbrushes in Mr. Simpson's art room when prepresents the number of brushes in each box. 3 + px 5 If each box contains 8 paintbrushes, how many total paintbrushes are in Mr. Simpson's art room? (Show your work or explain how you got your answer in words)
Answer:
5+3+8 or if its wrong then 5+3+8+5+3 or just one 3.
Step-by-step explanation:
The sum of two numbers is 50. One number is 23 more than the other one. Find the numbers.
What is the domain of the following parabola? (5 points)
u-shaped graph that opens down with a vertex of 1, 2
Group of answer choices
y ≤ 2
x ≥ 1
All real numbers
x ≤ 1
Answer:
the domain for this parabola is all real numbers
The quadratic function h is shown on the graph. If the graph is h(x) = (3/5 ) (x – d)(x + 6), what is the value of d?
Answers ↓
(A) -14
(B) 14
(C) -60
(D) 42/5
9514 1404 393
Answer:
(B) 14
Step-by-step explanation:
"d" is a value that makes the function be zero. The x-intercepts (zeros) of the function are at x=-6 and x=14, corresponding to factors (x +6) and (x -14). The (x+6) factor is already given in the equation, so we must conclude d=14.
We intend to estimate the average driving time of a group of commuters. From a previous study, we believe that the average time is 42 minutes with a standard deviation of 10 minutes. We want our 90 percent confidence interval to have a margin of error of no more than plus or minus 2 minutes. What is the smallest sample size that we should consider
Answer:
The smallest sample size that we should consider is 68.
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 - 0.9}{2} = 0.05[/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 - 0.05 = 0.95[/tex], so Z = 1.645.
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.
Standard deviation of 10 minutes.
This means that [tex]\mu = 10[/tex]
What is the smallest sample size that we should consider?
This is n for which M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 1.645\frac{10}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 1.645*10[/tex]
[tex]\sqrt{n} = 1.645*5[/tex]
[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]
[tex]n = 67.7[/tex]
Rounding up:
The smallest sample size that we should consider is 68.
Help with translations!
Given:
The figure of a trapezoid.
The figure is translated down 5 units and then rotated 180 degrees clockwise.
To find:
The coordinates of the image of point W after these transformation.
Solution:
From the given figure it is clear that the coordinates of point W are (-6,3).
The figure is translated down 5 units. So,
[tex](x,y)\to (x,y-5)[/tex]
[tex]W(-6,3)\to W'(-6,3-5)[/tex]
[tex]W(-6,3)\to W'(-6,-2)[/tex]
After that the figure is rotated 180 degrees clockwise.
[tex](x,y)\to (-x,-y)[/tex]
[tex]W'(-6,-2)\to W''(6,2)[/tex]
Therefore, the coordinates of point W after the given transformations are (6,2).
What is the surface area of the triangular prism? (please help)
Answer:
72 sq ft.
Step-by-step explanation:
Surface area of Triangular prism=[2*(1/2)*3*4]+(5*5)+(3*5)+(4*5)=12+25+15+20=72 sq ft.
Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 5656 per hour. Find the average and standard deviation of the number of service calls in a 1515-minute period. Round your answer to three decimal places, if necessary.
Answer:
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The variance is the same as the mean.
Average rate of 56 calls per hour:
This means that [tex]\mu = 56n[/tex], in which n is the number of hours.
Find the average and standard deviation of the number of service calls in a 15-minute period.
15 minute is one fourth of a hour, which means that [tex]n = \frac{1}{4}[/tex]. So
[tex]\mu = 56n = \frac{56}{4} = 14[/tex]
The variance is also 14, which means that the standard deviation is [tex]\sqrt{14} = 3.74[/tex]
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
2 potatoes
Step-by-step explanation:
10 ×1/5 =2×1=2
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
What’s the answer and work for this? Someone please telllllllll meeee!!!!
Answer: 25
Step-by-step explanation: The median is the average of the middle two numbers and if the median will be 17.5 then the sum of the middle numbers will be 35, and when we arrange the numbers in the least to greatest order we realize that 10 will be one of the middle two numbers when a number is added, and so the other number must be 25. Hope this helped!
A spherical water tank with diameter of 26 meters supplies water to a small town. The town uses about 400 cubic meters of water per day. To
the nearest day, how long would a full tank last if no water were replaced due to drought conditions.
Answer:
23 days
Step-by-step explanation:
We would first determine the volume of the tank. This gives information on the amount of water it can carry
WE divide the volume by the amount of water the town uses per day
Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³
n = 3.14
r == radius
radius = 1/2 x diameter
radius = 26/2 = 13 meters
volume = (4/3) x (3.14) x (13^3) = 9198.106667 m^3
How long the tank would last = 9198.106667 / 400 = 23 days
Warren reads 6 books each month as part of his book club. If Warren has read 24 books so
far, how many months has he been with his book club?
Answer: 4 months
Look at it this way: 6 books in a group. How many groups are there? well this is multiplication. Just add 6 a bunch of times until you get 24. You will add 6+6+6+6. There are 4 6's. This means, there are 4 months, with 6 books each month.
Answer: 4months
Step-by-step explanation:
Consider this: a set of six novels. What is the total number of groups? This is, after all, multiplication. Simply multiply 6 by 6 until you have 24. You'll multiply 6 by 6 by 6 by 6 There are four sixes. This implies there are four months in all, each with six books.
Look at the image for the question:
9514 1404 393
Answer:
te, tm, (m-e), t
Step-by-step explanation:
The problem statement tells you how to interpret the expressions and their parts.
Swap the top two expressions on the right and the list will be in the appropriate order:
tetmm-etSolve the following equation for x.
m(7-x) = 5-y
Need help ASAP!!! Will mark brainliest if correct!!
What part of a
a dozen is 8?
Answer:
8 Dozen eggs would mean, 8 X 12 = 96 eggs
Step-by-step explanation:
Answer:
[tex]\frac{2}{3}[/tex]
or
0.67
Step-by-step explanation:
a dozen is 12
12/4 = 3
8/4 = 2
8 is 2/3 of a dozen(12)
2/ 3 = 0.66666666666667 which is about 0.67
Your answer should have the same number of significant figures as the starting measurement. 0.0510 cm = mm
Answer: 0.0510 cm = 0.510 mm
Step-by-step explanation: zeros in the end of decimal number are significant.
Also 0.0510 cm has three significant numbers
Professors often attempt to determine if the submissions by the students are genuine or copied off the web sources. The program that performs this task is only 95 % accurate in correctly identifying a genuine submission and 80% accurate in correctly identifying copies. Based on the past statistics, 15% of the student turned in copied work. If a work is identified as a copy by the program, what is the probability that it is indeed a sample of copied work.
Answer:
0.7385 = 73.85% probability that it is indeed a sample of copied work.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Identified as a copy
Event B: Is a copy
Probability of being identified as a copy:
80% of 15%(copy)
100 - 95 = 5% of 100 - 15 = 85%(not a copy). So
[tex]P(A) = 0.8*0.15 + 0.05*0.85 = 0.1625[/tex]
Probability of being identified as a copy and being a copy.
80% of 15%. So
[tex]P(A \cap B) = 0.8*0.15 = 0.12[/tex]
What is the probability that it is indeed a sample of copied work?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12}{0.1625} = 0.7385[/tex]
0.7385 = 73.85% probability that it is indeed a sample of copied work.
The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with Sigma = 0.200 kg. Let µ denote the true average weight reading on the scale.
Required:
a. What hypotheses should be tested?
b. With the sample mean itself as the test statistic, what is the P-value?
Solution :
a).
Given : Number of times, n = 25
Sigma, σ = 0.200 kg
Weight, μ = 13 kg
Therefore the hypothesis should be tested are :
[tex]$H_0 : \mu = 13 $[/tex]
[tex]$H_a : \mu \neq 13$[/tex]
b). When the value of [tex]$\overline x = 12.84$[/tex]
Test statics :
[tex]$Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $[/tex]
[tex]$Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $[/tex]
[tex]$=\frac{1.82}{0.04}$[/tex]
= 45.5
P-value = 2 x P(Z > 45.5)
= 2 x 1 -P (Z < 45.5) = 0
Reject the null hypothesis if P value < α = 0.01 level of significance.
So reject the null hypothesis.
Therefore, we conclude that the true mean measured weight differs from 13 kg.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
F
Step-by-step explanation:
answer:
shape f !
step-by-step explanation:
hi there!
the question is asking us which shape matches shape a right, now if we look closely we already know that shapes d and b look like they match each other rather then shape a
shape a - 2, 2, 4
so they are out of the equation ( checking how long the sides are )
shape d - 3, 3, 3
shape b - 3, 3, 3
shapes e and c look like they match each other but just to make sure, i counted how long the each side was for both of them
( going by blocks )
shape c - 2, 3, 4,
shape e - 2, 3, almost 5
which does leave us left with shape f, but just to make sure.. lets count it!
shape f - 2, 2, 4,
which is the same numbers that shape a has!
shape f = shape a
hope this helps you!! and if i made a mistake reading the problem or doing the problem then please tell me :) have a good day
Solve.
b + 2/9 = 1 3/5
What is -1/4-(-3/5).
Answer:Okay that was easy its 0.35
Step-by-step explanation:
Tammy will run more than 28 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run?
Answer:
Any number that is greater than 10
Step-by-step explanation:
Tammy is wanting to run more than 28 miles. Having already ran 18, she has to run 10 more to even reach 28 miles in total. She wants to run MORE than 28 so the number of miles she has yet to run in possibility is any number that is GREATER than 10.
ex: 11, 12,13, 14.....
boht agyi yaade
hmm
:)
Five friends want to share 5/6 of a pie equally what fraction of the whole pie should each friend receive?
Answer:
1/6
Step-by-step explanation:
Answer: 1/6
Step-by-step explanation: 1/6 because your splitting it equally among 5 friends so all five friends gets 1/6 pie
Rewrite 14/32 in the simplest form.
Answer:
7/16
Step-by-step explanation: