Answer:
A. 11 m
Step-by-step explanation:
Given that
the ten workers are fencing 25 m by 28 m
And, they finished the fencing 95 m
We need to find out the number of more meter of fence that could be developed
So,
= (25+25) + (28+28)
= 106 - 95
= 11
Hence, 11 more meters should be build
Therefore the correct option is A.
February has 28 days. It rained on [tex]\frac{3}{4}[/tex] of the days in February. What was the total number of rainy days during this month?
Answer:
21
Step-by-step explanation:
28x3/4
The Sine Function
The sine regression models is of form y = a sin(bx + c) + d. Why are sine functions such good models for repetitive behavior?
Answer:
Sine functions show repeated and periodic behavior. They are used to model wave-like behavior. They can be used to make predictions based on the model.
Step-by-step explanation:
I calculated it logically
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within three percentage points with 99% confidence, assuming that (a) she uses the estimates of 22.6% male and 18.1% female from a previous year
Answer:
A sample size of 1380 should be obtained.
Step-by-step explanation:
Minimum sample size:
The minimum sample size is of:
[tex]n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))[/tex]
In which z is the critical value, related to the confidence level, E is the desired margin of error, [tex]p_1[/tex] and [tex]p_2[/tex] are the proportions.
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
Estimates of 22.6% male and 18.1% female from a previous year
This means that [tex]p_1 = 0.226, p_2 = 0.181[/tex].
Within 3 percentage points, minimum sample size:
This is n for which [tex]E = 0.03[/tex]. So
[tex]n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))[/tex]
[tex]n = (\frac{1.96}{0.03})^2(0.226*0.774 + 0.181*0.819)[/tex]
[tex]n = 1379.4[/tex]
Rounding up:
A sample size of 1380 should be obtained.
Hey guys can you please help me?? Thank you!
Answer:
17x+44+51 = 180
x=5
Step-by-step explanation:
The angles in a triangle add to 180, so set up the equation by adding the measures of each angle on one side and putting 180 on the other side, then solve:
17x+44+51 = 180
17x+95=180
17x=85
x=85/17=5
Hope this helps :)
27. A bag contains 2 red and 4 yellow apples. Brandon selects 2 apples at random. What
is the probability that he has chosen 2 yellow apples?
Answer:12/30
Step-by-step explanation:
Total apple =6
Yellow apples = 4
4/6
3/5
(4/6)*(3/5)= 12/30
Arrange the vehicles in descending order according to the altitudes at which they operate.
Vehicle Altitude (feet)
sailboat 0
submarine -1,500
glider 5,000
airship 3,000
A.
sailboat, submarine, glider, airship
B.
submarine, sailboat, airship, glider
C.
airship, glider, submarine, sailboat
D.
glider, airship, sailboat, submarine
Answer:
airship, glider, submarine, sailboat
Find the surface area of a triangular pyramid.
Answer:
91in^2
Step-by-step explanation:
SA of base = 7x7 = 49in^2
SA of each triangle = 1/2 x 7 x 3 = 10.5in^2
SA of all 4 triangles = 10.5 x 4 = 42in^2
SA Total = 49 + 42.= 91inch^2
Determine if the following functions are inverses of each other:
f(x) = 7x + 14
g(x) = (1/7)x - 2
Answer:
both outputs are x so f(x) and g(x) are inverses of each other
Step-by-step explanation:
Answer:
what are the options of answers?
Step-by-step explanation:
A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
Answer:
2.25, or 2 1/4 or 9/4.
Step-by-step explanation:
3/4 times 3 = 9/4
evaluate -3x³-4x for x=-1
Answer:
7
Step-by-step explanation:
Sub -1 in for each x:
-3x³-4x
-3(-1)³-4(-1)
-3(-1)+4
3+4
7
According to the 2000 U.S. Census, 80% of Americans over the age of 25 have earned a high school diploma. Suppose we take a random sample of 120 Americans and record the proportion, p, of individuals in our sample that have a high school diploma.
Answer:
a) The mean is 0.8.
b) The standard deviation is 0.0365.
c) Normal
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
80% of Americans over the age of 25 have earned a high school diploma.
This means that [tex]p = 0.8[/tex]
Suppose we take a random sample of 120 Americans
This means that [tex]n = 120[/tex].
Question a:
The mean is:
[tex]\mu = p = 0.8[/tex]
The mean is 0.8.
Question b:
The standard deviation is:
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.8*0.2}{120}} = 0.0365[/tex]
The standard deviation is 0.0365.
Question c:
By the Central Limit Theorem, approximately normal.
a) The mean is 0.8.
b) The standard deviation is 0.0365.
c) Normal
Here, we have,
we know that,
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean x and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean x and standard deviation s = σ/√n .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean x=p and standard deviation s=√p(1-p)/n
80% of Americans over the age of 25 have earned a high school diploma.
This means that p=0.8
Suppose we take a random sample of 120 Americans
This means that n=120.
Question a:
The mean is:
x=p=0.8
The mean is 0.8.
Question b:
The standard deviation is:
s=0.0365
The standard deviation is 0.0365.
Question c:
By the Central Limit Theorem, approximately normal.
Learn more about standard deviation here:
brainly.com/question/23907081
#SPJ6
The ___________ of a numerical set of data is the value that occurs most frequently.
Find the measurement of angle FRQ
Answer:
90 degrees
Step-by-step explanation:
How many different 10-letter arrangements are possible using the letters in the word AUTOMOBILE?
Answer:
1,814,400
Step-by-step explanation:
the formula would be: nPr / x_1 ! x_2!....
since there are 2 O's and it is a 10-LETTER ARRANGEMENT, the equation would now be:
10P10 / 2!
10P10 would simplify down to 10! so you would have :
10! / 2!
if you simplify this above: you would get 1,814,400
What is the measure of angle SQR?
Answer:
All sides are the same length (congruent) and all interior angles are the same size (congruent). if Sqr refers to square
A nickel and a quarter are tossed once. What is the probability that both lands on tails? show work
Answer:
1/4
Step-by-step explanation:
1/2 x 1/2 = 1/4
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 2/5. If they have three children, what is the probability that exactly three of their three children will have that trait? Round your answer to the nearest thousandth.
Answer:
any details?
Step-by-step explanation:
HMP is isosceles triangle with base MP, also NP⊥OM and NM = OP Name the postulate or theorem you can use to prove NHM = OHP
Answer:
HL theorem
Step-by-step explanation:
since NP⊥OM, so, L H is a right angle.
and NM = OP as hypotenuse
HL theorem
NP is perpendicular to OM
<NHO=90°NM =OP given
So the triangles are congruent
The price of a video game was reduced from $60 to $45. By what percentage was the price of
the video game reduced?
F 15%
G 25%
H 75%
4096
Someone please help
Answer:
G. 25%
Step-by-step explanation:
given : The price of a video game was reduced from $60 to $45 .
$60 - $45 = $15
then, the percentage was the price of the video game reduced :-
reduction in price/previous price x 100 = 15/60 x 100 = 25%
the percentage was the price of the video game reduced = 25%
What is the slope of y<-3/4x-1
Answer:
-3/4
Step-by-step explanation:
In slope-intercept form, the slope is the coefficient of x.
if the radius of an argon atom is 0.0000000000098m, write in scientific notation
Answer:
90
Step-by-step explanation:
I really need help , someone please help :’( ... ill also make you brainlist.
Answer:
Step-by-step explanation:A)13 miles in feet = 68640 feet
we now need to get the number of cars, we use division to get groups
68640 / 15 = 4576.
we now see there are 4576 cars in the traffic jam.
B)Less, they are longer cars so the divosor would no longer be 15, it would be a higher number. 4576 cars would not be able to fit in a 13 mile stretch if those cars were any longer.
Plz help me well mark brainliest!!...
Answer:
B
Step-by-step explanation:
9+9+6+6=18+12=30
hope it helps :)
A study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 500 randomly selected people who rode a jet ski, 85% wore life vests. Out of 250 randomly selected boaters, 90.4% wore life vests. Using a 0.05 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2. State the null and alternative hypotheses for the test.
Answer:
The null hypothesis is [tex]H_0: p_1 - p_2 = 0[/tex]
The alternate hypothesis is [tex]H_a: p_1 - p_2 \neq 0[/tex]
The pvalue of the test is 0.03 < 0.05, which means that we have enough evidence to accept the alternative hypothesis that he proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
Step-by-step explanation:
Before testing the null hypothesis, we need to understand the Central Limit Theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Out of 500 randomly selected people who rode a jet ski, 85% wore life vests.
This means that [tex]p_1 = 0.85, s_1 = \sqrt{\frac{0.85*0.15}{500}} = 0.016[/tex]
Out of 250 randomly selected boaters, 90.4% wore life vests.
This means that [tex]p_2 = 0.904, s_2 = \sqrt{\frac{{0.904*0.096}{250}} = 0.019[/tex]
Test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
At the null hypothesis, we test that the proportions are the same, that is, the subtraction between them is zero. So
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternate hypothesis, we test that the proportions are different, that is, the subtraction between them is different of zero. So
[tex]H_a: p_1 - p_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples, we have that:
[tex]X = p_1 - p_2 = 0.85 - 0.904 = -0.054[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.016^2 + 0.019^2} = 0.0248[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.054 - 0}{0.0248}[/tex]
[tex]z = -2.17[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability that the difference differs from 0 by at least 0.054, which is P(|Z| > 2.17), which is 2 multiplied by the pvalue of z = -2.17
Looking at the z-table, z = -2.17 has a pvalue of 0.015
2*0.015 = 0.03
The pvalue of the test is 0.03 < 0.05, which means that we have enough evidence to accept the alternative hypothesis that he proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
i need to know the surface area of both 1 and 2 please
Answer:
1. 142 in.²
2. 190 cm²
Step-by-step explanation:
Both solids are rectangular prisms.
Surface area of a rectangular prism = 2(LW + LH + HW)
1. L = 7 in.
W = 3 in.
H = 5 in.
Plug ok the values into the formula
Surface area = 2(7*3 + 7*5 + 5*3)
= 142 in.²
2. L = 10 cm
W = 3 cm
H = 5 cm
Plug ok the values into the formula
Surface area = 2(10*3 + 10*5 + 5*3)
= 190 cm²
In how many ways can you answer 15 true/false questions
Answer:
32768
Step-by-step explanation:
Each question has 2 options.
On a true/false test with one question, there are 2¹, or 2 possible answers
On a test with 2 questions, there are 2², or 4 possible answers.
On a test with 3 questions, there are 2³, or 8 possible answers.
So, 2¹⁵ = 32768 possible ways.
3a+5b-9: a=2, b=3 that is my question I need help
Answer:
12
Step-by-step explanation:
What is the value of r, in inches?
7 in.
B
1403
30°
D
21
X
9514 1404 393
Answer:
A. 7√3
Step-by-step explanation:
The side length ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Here, the shortest side is 7, and x is the next-longer side.
x = 7√3
Simplify 150-(0.4 x 150 + 15)
Answer:
−60x + 135
Step-by-step explanation:
Answer:
150 - (0.4×150+15)
= 150-75
= 75
For Limit of StartFraction x squared minus 4 x minus 12 Over x minus 2 EndFraction as x approaches 2 minus =
✔ infinity
and Limit of StartFraction x squared minus 4 x minus 12 Over x minus 2 EndFraction as x approaches 2 plus=
✔ negative infinity
. These limits indicate there is an asymptote of
.
Answer:
x=2
Step-by-step explanation:
Just did the assignment
The given rational function, that is, (x² - 4 · x - 12) / (x-2), has no horizontal asymptotes but one vertical asymptotes at x = 2.
How to determine the asymptotes of a rational function
A rational function has a horizontal asymptote if and only if the limit exists for x tending to ±∞. Rational functions have a limit if and only if the grade of the denominator is equal to or greater than the grade of the numerator. A vertical asymptote exists for all values of x such that the denominator equals 0.
Based on these facts, we conclude that the given rational function has no horizontal asymptotes but one vertical asymptotes at x = 2.
To learn more on rational functions, we kindly invite to check this verified question: https://brainly.com/question/20850120