Answer:
36
Step-by-step explanation:
Number of new houses = 60
Number of houses sold last month = (1/4) of 60
[tex]= \frac{1}{4}*60[/tex]
= 15
Remaining houses = 60 - 15 = 45
Number of houses sold this month = (1/5) of 45
[tex]=\frac{1}{5}*45\\\\= 9[/tex]
Number of houses that are left = 45 - 9 = 36
The time taken by artisans A. B and C to do an
embroidery job is 15 hours, 18 hours, and 15 hours.
respectively. A, B, and C begin working together but
after 3 hours B is put on another job. How long will A
and C take to finish the embroidery job?
Answer:
3 hours 15mins
Step-by-step explanation:
in 1 hours time, A will complete 1/15 of the job, B will complete 1/18 and C 1/15.
After 3 hours, A completed 3/15 (aka 1/5) of the job, B 3/18 (aka 1/6) and C being the same as A.
total job done after 3 hrs is 1/5 + 1/6 + 1/5 which is 17/30 of the job
left: 13/30
in 1 hr, A and C will do 2/15 of the job (4/30)
therefore, no. of hours needed: 13/4 hours = 3.25 hours (3 hours 15mins)
In a clinical trial of oxycodone, 16 subjects experience headaches among the 227 subjects treated with oxycodone. Construct a 95% confidence interval for the proportion of treated subjects who experience headaches. Provide both probabilistic and practical interpretations. (Hint: this is proportion problem).
Answer:
95% Confidence Interval = (0.037, 0.104)
Step-by-step explanation:
The formula for Confidence Interval if a proportion is:
p ± z × √p(1 - p)/n
z = z score of a 95% confidence interval = 1.96
p = proportion = x/n
x = 16, n = 227
p = 16/227
p = 0.0704845815
≈ 0.0705
Confidence Interval
= 0.0705 ± 1.96 × √0.0705(1 - 0.0705)/227
= 0.0705 ± 1.96 × √0.0002886773
= 0.0705 ± 0.0333013921
Confidence Interval
= 0.0705 - 0.0333013921
= 0.0371986079
≈ 0.037
= 0.0705 + 0.0333013921
= 0.1038013921
≈ 0.104
Hence, 95% Confidence Interval = (0.037, 0.104)
Find the slope of the line passing through the points (-4,7) and (2,-8)
Answer:
[tex]m=\frac{-5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, 7)
Point (2, -8)
Step 2: Find slope m
Substitute: [tex]m=\frac{-8-7}{2+4}[/tex]Subtract/Add: [tex]m=\frac{-15}{6}[/tex]Simplify: [tex]m=\frac{-5}{2}[/tex]three less than the total of a number and
nine
Answer:
(x+9)-3
Step-by-step explanation:
HOPEFULLY MY LAST ONE!!!!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
1/3
Step-by-step explanation:
Rise/run
10/30
I hope this is right and that it helps.
Mitchell walked 5/12 of a mile in 1/2 of an hour. At this rate, how far could Mitchell walk in 1 hour?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]2 \times \frac{1}{2} hour = 1hour \\ [/tex]
Thus ;
[tex]2 \times \frac{5}{12} \: \: miles = \frac{10}{12} \: \: miles = \frac{5}{6} \: \: miles \\ [/tex]
,♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I think the answer is 5/6
Volume of 120 grams divided by 480cm3
Answer:
= 0.25 g/cm3
Step-by-step explanation:
this is called density the grams per volume.
density = mass
volume
= 120g
480cm3
= 0.25 g/cm3
The store buys easels for 10.20 each he marks up the cost by 75% to get the selling price what is the selling price of each easel? show your work
please answer asap it’s due in 1 min
the product of the sum and the difference of 8x and 4y
Answer:
4
Step-by-step explanation:
o dont really know. I dont understand the question
PLZ HELP I BEG U!!!!!! ILL MARK U BRAINLIEST
Create a story using the inequality symbols , ≤,≥,≠ . the story must be creative, detailed, coherent, and written clearly. it does not have to be solely math related.
Answer:
T_T said to 个_个: Hallo, I am so happee!!!
Step-by-step explanation:
Plz mark as Brainliest!
Use the information mZ1 = (3x + 30), m42 = (5x – 10°, and x = 20, and the theorems you have learned to
show that 1 || m.
Answer:
Step-by-step explanation:
First you have to do 2 + 2=
At Jay Street Middle School, 25%of eighth graders wear glasses. If 100 students wear glasses how many eighth graders are there in total?
Answer:
400 total
Step-by-step explanation:
so 100 is 25% of 100% and 25%x4=100%
so do 100x4=400=100% of the middle schoolers
The population of a certain town is growing at a constant rate. Suppose the population is 1900 initially, and after 4 years the population is 2212. Which of these expresses the rate at which the population is increasing?
Answer:
The rate of change relates the change in population to the change in time. The population increased by 2212−1900=312 people over the four-years. To find the rate of change, divide the change in the number of people by the number of years.
2212−19004=3124
3124/4 =78
So the population increased by 78 people per year.
Because we are told that the population increased, we would expect the slope to be positive. This positive slope we calculated is therefore reasonable.
(04.04 LC)
On a coordinate grid, point T is at (2,-4) and point S is at (2,6). The distance (in units) between points T and S is
numbers, such as 2.)
Answer:
The distance between T and S is 10 units.
Step-by-step explanation:
Given the points
T(2, -4)S(2, 6)[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
The distance between T and S is:
[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]
[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]
[tex]=\sqrt{0+10^2}[/tex]
[tex]=\sqrt{10^2}[/tex]
[tex]=10[/tex] ∵ [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
Therefore, the distance between T and S is 10 units.
Please help due in 5 min
Duval went to bat 80 times during a baseball season. In the first half of the season he had 15 hits. In the second half of the season he had 9 hits. Which percent of the time did Duval get a hit during the entire season?
A. 24%
B. 30%
C. 44%
D. 60%
PLEASE show work
Answer:
B. 30 Percent
15+9=24
24/80=30 Percent
Step-by-step explanation:
Opps- THIS IS DUE IN 7 MINS HALPPPPP!!!! I FORGOT TO DO THIS AND NOW I NEED HALPPPP
ps. Giving 30 points if answer is given
Answer:
I believe the bottom one is true and the rest are false
Step-by-step explanation:
bottom one true
Answer:
it is the last one. it is a smaller distance from Drachten
Step-by-step explanation:
on the first day of camp, Sara hiked 20 miles in 5 hours. At this rate how long would it take Sara to hike 12 miles?
Answer:
3 hours
Step-by-step explanation:
20 ÷ 5 = 4 mph
12 ÷ 4 = 3 hours
hope this explanation makes sense! :)
Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
On the first day of camp, Sara hiked 20 miles in 5 hours.
The rate = 20/5 = 4 miles per hour
Let x be the time taken by Sara to hike 12 miles
As its rate of speed of Sara is 4 miles per hour
x = 12/4
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
x = 3 hours
Thus, Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
A. 0.75s+0.4t=980
B. 0.75s-0.4t=980
C. 0.75s+0.04t=980
D. 0.75s-0.04t=980
what is the slope of the line
Answer:
y-mx+b
Step-by-step explanation:
A train is traveling at 60 mph. If the rate of speed increases 4 mph each hour,
how long will it be before the train is traveling at a rate of 80 mph?
OA) 4 hours
B) 5 hours
OC) 6 hours
OD 7 hours
Answer:
B) 5 hours
Step-by-step explanation:
First, find the amount of mph between 60 and 80:
80 - 60
= 20 mph
Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:
20/4
= 5
So, the correct answer is B, 5 hours
please help will give brainlyest again
Answer:
8
_
12 I think
that's it it you can cross multiple it will be 7/10
Reduce the fraction and find the domain.
[tex]\frac{a(x-2y)}{b(2y-x)}[/tex]
Thanks!
Answer:
-a/bStep-by-step explanation:
a(x - 2y)/b(2y - x) = ⇒ consider x - 2y = - (2y - x)-a(2y - x)/b(2y - x) =-a/bWhich equations has a solution of X=1.5
8.91 divided by 5 dividing with decimal
Answer:
1.782
Step-by-step explanation:
8.91 ÷ 5= 1.782
Answer: 1.782
Step-by-step explanation:
Divide 8.91 by 5
1.782
Anthony receives $12 in allowance every week.He currently has $492 saved.How many weeks has he been saving?
Answer:
He has been saving for 41 weeks.
Step-by-step explanation:
492 is the total, we need to divide 492 by 12 to get how many weeks, 41 is the answer
what is the constant of porportionality between 9 and 4.5
Answer:
1/2
Step-by-step explanation:
Suppose 52R% of the population has a college degree. If a random sample of size 808808 is selected, what is the probability that the proportion of persons with a college degree will be less than 54T%
Answer:
The probability is [tex]P( p < 435.82 ) = 0.54094[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 54% = 0.54
The sample size is n = 808
Generally the distribution of the population with college degree follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n * p[/tex]
=> [tex]\mu = 808 * 0.52[/tex]
=> [tex]\mu = 420.16[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{np(1- p )}[/tex]
=> [tex]\sigma = \sqrt{808 * 0.52(1- 0.52 )}[/tex]
=> [tex]\sigma = 14.2[/tex]
Generally 54% of the population proportion is
[tex]\^ p = 0.54 * 808[/tex]
=> [tex]\^ p = 436.32[/tex]
Generally by normal approximation of the binomial distribution the probability that the proportion of persons with a college degree will be less than 54% is mathematically evaluated as
[tex]P(p < \^ p ) = P(\frac{p - \mu }{\sigma } < \frac{\^ p - \mu }{\sigma } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(p < 436.32 ) = P( Z < \frac{436.32 - 420.16 }{14.20 } )[/tex]
applying continuity correction
[tex]P(p < (436.32-0.5) ) = P( Z < \frac{(436.32-0.5) - 420.16 }{14.20 } )[/tex]
=> [tex]P(p < (435.82 ) = P( Z < \frac{435.82 - 420.16 }{14.20 } )[/tex]
=> [tex]P(p < (435.82 ) = P( Z < 0.1028 )[/tex]
From the z table the area under the normal curve to the left corresponding to 0.1028 is
[tex]P( Z < 0.1028 ) = 0.54094[/tex]
=> [tex]P( p < 435.82 ) = 0.54094[/tex]
Whoever answers this first gets brainliest
Pls help ASAP
Answer:
Terminating goes to 3
Repeating goes to 4
Rational goes to 1
Irrational goes to 2
Answer:
1. Rational Number
2. Irrational Number
3. Terminating Decimal
4. Repeating Decimal
Step-by-step explanation:
A Rational Number can be written as a ratio of two integers. For example, as a simple fraction. That leaves us for the answer to the second one as irrational. To terminate means to end, so a terminating decimal is a decimal that does not go on forever. Whereas, a repeating decimal continues repeating forever (or indefinitely).
I would like to apologize in advance if any of these were incorrect.
Recidivism occurs when a person continues to commit criminal behavior even after having been punished. A prison official wants to estimate the proportion of cases of recidivism. Examining the records of 250 convicts, the official determines that there are 65 cases of recidivism. Construct a 99% confidence interval for the proportion of cases of recidivism.A. (0.331, 0.567)B. (0.188, 0.332)D. (0.289, 0.431)E. (0.069, 0.111)
Answer:
Option (C) [0.2574 , 0.2626]
Step-by-step explanation:
Of 250 convicts, there are 65 cases of recidivism.
- Construct a 99% confidence interval for the proportion of cases of recidivism.
This calls for first finding the proportion of cases of recidivism. This will be 65/250 = 0.26
You are 100% confident that the proportion of cases of recidivism is 0.26
You will be 99% confident that the recidivism cases are between:
99% of 0.26 = 0.2574
1% of 0.26 = 0.0026
[0.26 - 0.0026] , [0.26 + 0.0026] = [0.2574 , 0.2626]
This should be OPTION C, as that option is missing in the list of options.