Answer:
0.230
Step-by-step explanation:
Given
Estimate = 72%
Number of citizens = 14
Required
Find the probability that exactly 10 of the citizens will be in favor
This question can be solved using binomial expansion of probability which states;
[tex](p + q)^n = ^nC_0 .\ p^n.\ q^{0} + ....+ ^nC_r .\ p^r.\ q^{n-r}+ .. +^nC_n .\ p^0.\ q^{n}[/tex]
Where p and q are the probabilities of those in favor and against of building a health center;
n is the selected sample and r is the sample in favor
So; from the above analysis
[tex]n = 14[/tex]
[tex]r = 10[/tex]
[tex]p = 72\% = 0.72[/tex]
[tex]q = 1 - p[/tex]
[tex]q = 1 - 0.72[/tex]
[tex]q = 0.28[/tex]
Since, we're solving for the probability that exactly 10 citizens will be in favor;
we'll make use of
Substituting these values in the formula above
[tex]Probability = ^nC_r .\ p^r.\ q^{n-r}[/tex]
[tex]Probability = ^{14}C_{10} .\ 0.72^{10}.\ 0.28^{14-10}[/tex]
[tex]^{14}C_{10} = 1001[/tex]
So, the expression becomes
[tex]Probability =1001 * \ 0.72^{10}.\ 0.28^{14-10}[/tex]
[tex]Probability =1001 * \ 0.72^{10}.\ 0.28^4[/tex]
[tex]Probability =1001 * 0.03743906242 * 0.00614656[/tex]
[tex]Probability =0.23035156495[/tex]
[tex]Probability =0.230[/tex] ----Approximated
Hence, the probability that exact;y 10 will favor the building of the health center is 0.230
What is the measure of
Answer:
C. 35
55 degrees + 35 degrees= 90 degrees
f(x)=(x−3)^2+5 in Standard form
Answer:
Step-by-step explanation:
hello
[tex]f(x)=(x-3)^2+5=x^2-6x+9+5=x^2-6x+14[/tex]
hope this helps
What is the rule for the reflection?
A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y) .
:D
Determine the function which corresponds to the given graph. (3 points) a natural logarithmic function crossing the x axis at negative two and y axis at one.
The asymptote is x = -3.
Answer:
[tex]y =log_e(x+3)[/tex]
Step-by-step explanation:
It is given that the graph corresponds to a natural logarithmic function.
That means, the function [tex]y[/tex] has a natural log (Log with base [tex]e[/tex]) of some terms of x.
It is given that asymptote of given curve is at [tex]x= -3[/tex]. i.e. when we put value
[tex]x= -3[/tex], the function will have a value [tex]y \rightarrow \infty[/tex].
We know that natural log of 0 is not defined.
So, we can say the following:
[tex]log_e(x+a)[/tex] is not defined at [tex]x= -3[/tex]
[tex]\Rightarrow x+a =0\\\Rightarrow x = -a[/tex]
i.e. [tex]x =-a[/tex] is the point where [tex]y \rightarrow \infty[/tex]
a = 3
Hence, the function becomes:
[tex]y =log_e(x+3)[/tex]
Also, given that the graph crosses x axis at x = -2
When we put x = -2 in the function:
[tex]y =log_e(-2+3) = log_e(1) = 0[/tex]
And y axis at 1.
Put x = 0, we should get y = 1
[tex]y =log_e(0+3) = log_e(3) \approx 1[/tex]
So, the function is: [tex]y =log_e(x+3)[/tex]
Any percentile point for a distribution of scores must have a value equal to one of the scores.
A. True
B. False
Answer:
False.
Step-by-step explanation:
We are asked if it is true or false that any percentage point for a score distribution must have a value equal to one of the scores.
In this case we have to:
False.
Because for example, many times the median (or 50th percentile) is the mean of the inputs in middle 2, and may not equal any data point.
The inclination (tilt) of an amusement park ride is accelerating at a rate of 2160 degreesmin22160\,\dfrac{\text{degrees}}{\text{min}^2} 2160 min 2 degrees 2160, start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, m, i, n, end text, squared, end fraction . What is the ride's acceleration rate in degreess2\dfrac{\text{degrees}}{\text{s}^2} s 2 degrees start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, squared, end fraction ? degreess2\dfrac{\text{degrees}}{\text{s}^2} s 2 degrees
Answer:
um
Step-by-step explanation:
not sure sorry
Which of the following is the equation of the quadratic function below?
A. y = x2 - 2x+2
B. y = x +2x-2
C. y = x2 - 8x+12
D. y = x2 +8x-12
If bis the unknown number of blankets, which equation best represents the
situation described below?
Ling gave some of her blankets to charity, decreasing her
total number of blankets by 9. After she gave the blankets
away, she had 11 left.
A. 6-9 = 11
B. 6+9 = 11
C.
= 11
D. b +11 = 9
Answer:
A. b-9=11
Step-by-step explanation:
I‘m assuming the equation should say b, not 6. She had b blankets, subtracted 9, and was left with 11. b-9=11.
What are the roots of the polynomial function? F(x) = x3 + 3x2 - 9x + 5
Which of the following are accurate descriptions of the distribution below? Choose all answers that apply: Choose all answers that apply: (Choice A) A The distribution has a peak from 101010 to 151515 \text{km}kmstart text, k, m, end text. (Choice B) B The distribution has a gap from 252525 to 303030 \text{km}kmstart text, k, m, end text. (Choice C) C None of the above
Answer:
C
Step-by-step explanation:
Answer:
CORRECT (SELECTED)
The distribution has an outlier.
Step-by-step explanation:
An outlier is a data point far away from the rest of the data. There is a lone data point in the 000 to 111 score category.
(Choice C, Incorrect)
12
12
Francis Bacon and his wife purchased a condominium on the beach for $235,000.
They made a $40,000 down payment. Their annual expenses were mortgage
interest of $11,700, depreciation of 3% of the purchase price of the house, and
taxes, repairs, and insurance of $15,430. They rented the condo for $3,000 per
month. What is the annual yield?
(A) 1.52%
(C) 3.62%
(B) 2.55%
(D) 4.55%
Answer:
D) 4.55%
Step-by-step explanation:
Given:
Rented Income = $3000 per month
= $3000 * 12 = $36,000 annually
Less : - Annual expenses = $11700
Depreciation(3% OF 235000) = $7050
Tax, repairs and Insurance = 15430
Annual net income = $36,000 - ($11,700+$7,050+$15,430)
= $36,000 - $34,180
Annual net income = $1,820
To find annual yield, use the formula below:
Annual yield = (annual net income/down payment) * 100
Therefore, annual yield will be:
Annual yield [tex] = \frac{1,820}{40,000} * 100 [/tex]
= 0.0455 * 100
= 4.55%
Annual yield = 4.55%
what is the y-value when x equals 30? y=350-25(x)
Answer:
-400
Step-by-step explanation:
y=350-25(x)
y=350-25x30
y=350-750
y=-400
Answer:
-400
Step-by-step explanation:
y=350-25x
x=30....
y=350-25×30
y=350-750
y=-400
In a survey of sleeping habits, 8400 national adults were selected randomly and contacted by telephone. Respondents were asked, "Typically, how many times per week do you sleep less than 6 hours during the night
Answer:
C) 1.8 is a statistic and represents an estimate of the unknown value of a parameter of interest.
Step-by-step explanation:
The complete question is: In a survey of sleeping habits, 8400 national adults were selected randomly and contacted by telephone.
Respondents were asked: “Typically, how many times per week do you sleep less than 6 hours during the night?” On average, those surveyed reported an average of 1.8 nights per week in which they got less than 6 hours of sleep. Which of the following is true with respect to this scenario?
A) 8400 is the size of the population being studied.
B) 1.8 is a parameter and represents an estimate of the unknown value of a statistic of interest.
C) 1.8 is a statistic and represents an estimate of the unknown value of a parameter of interest.
D) None of the above
We are given that in a survey of sleeping habits, 8400 national adults were selected randomly and contacted by telephone.
On average, those surveyed reported an average of 1.8 nights per week in which they got less than 6 hours of sleep.
In the question 8400 is the sample size (n) as it is taken from the population to conduct a survey.
So, the statement is not true that 8400 is the size of the population being studied. It is the size of the sample being tested.
Also, the sample mean = 1.8 nights per week, it is sample or statistic value because it is calculated using sample size value and it is an estimate or representation of the population unknown parameter.
So, the correct statement is that 1.8 is a statistic and represents an estimate of the unknown value of a parameter of interest.
Find the missing side. Round the answer to the nearest tenth. Thanks.
Answer:
74.3
Step-by-step explanation:
we can use the tangent ratio to solve for X
first, set up the equation
tan(22 deg)= 30/x
next, solve for x
multiply both sides by x
(x)(tan(22 deg))=30
then, divide both sides by tan (22 deg)
x=30/tan (22 deg)
plug this into a calculator
this gives us approximately 74.25
A poll stated that 32% of those polled think the economy is getting worse. An economist wanted to check this claim so she surveyed 750 people and found that 30% of them thought the economy is getting worse. What is the p-value? (α=0.05)
Answer:
[tex]z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174[/tex]
The p value for this case would be given by:
[tex]p_v =2*P(z<-1.174)=0.240[/tex]
For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %
Step-by-step explanation:
Information given
n=750 represent the random sample taken
[tex]\hat p=0.30[/tex] estimated proportion of people who thought the economy is getting worse
[tex]p_o=0.32[/tex] is the value that we want to verify
[tex]\alpha=0.05[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to check if the true proportion of interest is equal to 0.32 or not.:
Null hypothesis:[tex]p=0.32[/tex]
Alternative hypothesis:[tex]p \neq 0.32[/tex]
The statistic would be given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing we got:
[tex]z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174[/tex]
The p value for this case would be given by:
[tex]p_v =2*P(z<-1.174)=0.240[/tex]
For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %
what is the y-intersept of y=4x-6
━━━━━━━☆☆━━━━━━━
▹ Answer
y-intercept = -6
▹ Step-by-Step Explanation
The format of slope is:
y = mx + b
The b represents the y-intercept which is, -6.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: -6
Step-by-step explanation: This equation is written in slope-intercept form which is more commonly known as y = mx + b form where the multiplier or the coefficient of the x term represents the slope of the line and the b or the constant term represents the y-intercept.
So this line has a y-intercept of -6.
This means it crosses the y-axis 6 units up from origin.
Write an equation:
For every 2 apples there
are 6 bananas
Answer:
[tex]2a=6b\\a=3b[/tex]
Step-by-step explanation:
Let [tex]a[/tex] equal the amount of apples and [tex]b[/tex] equal the amount of bananas.
[tex]2a=6b\\a=3b[/tex]
Answer:
every 2 apples there
are 6 bananas
Step-by-step explanation:
2a=6b
Suppose that the number of square feet per house are normally distributed with an unknown mean and standard deviation. A random sample of 22 houses is taken and gives a sample mean of 1500 square feet and a sample standard deviation of 151 square feet. 1. The EBM, margin of error, for a 95% confidence interval estimate for the population mean using the Student's t. distribution is 66.96.2. Find a 95% confidence interval estimate for the population mean using the Student's t-distribution.
Answer:
1. The margin of error is of 66.96 square feet.
2. The 95% confidence interval estimate for the population mean using the Student's t-distribution is between 1433.04 square feet and 1566.96 square feet
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 22 - 1 = 21
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.08
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.08*\frac{151}{\sqrt{22}} = 66.96[/tex]
In which s is the standard deviation of the sample.
The margin of error is of 66.96 square feet.
The lower end of the interval is the sample mean subtracted by M. So it is 1500 - 66.96 = 1433.04 square feet
The upper end of the interval is the sample mean added to M. So it is 1500 + 314 = 1566.96 square feet
The 95% confidence interval estimate for the population mean using the Student's t-distribution is between 1433.04 square feet and 1566.96 square feet
Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 3 minutes. When taking off, the run time of an airplane on the runway is 33 seconds. Planes are on average waiting 6 minutes and 48 seconds for take-off. On average there are 16 planes taking off per hour. How many planes are either on the runway or waiting to take off? (Round your answer to 2 decimal places.)
Answer:
1.96 planes
Step-by-step explanation:
The computation of the number of planes is shown below:
As we know that
System Inventory is
= Flow rate in the system × Throughput time
where,
Flow rate is
= Frequency of taken off
= 16 planes ÷ hour
= 16 ÷ 60 Planes per minute
Throughput time is
= runway waiting time + runway Run time
= 33 seconds + 6 minutes × 60 seconds + 48 seconds
= 441 seconds
= 441 per 60 seconds
Therefore the number of planes is
[tex]= \frac{441}{60} \times \frac{16}{60}[/tex]
= 1.96 planes
13 lb 14oz + 30 lb 12 oz = lb. oz
Answer:
33 lbs 10 ounces
Step-by-step explanation:
13 lb 14oz
+ 30 lb 12 oz
================
32 lbs 26 oz
But we know that 16 ounces 1 1 lb
Subtract 16 ounces and add 1 lb
32 lbs 26 oz
+1 lb - 16 ounces
==================
33 lbs 10 ounces
Copy the diagram and calculate the sizes of x°, yº and zº. What is the sum of the angles of the
triangle?
Answer:
180
Step-by-step explanation:
to find angle :
x =180 - 150=30
y =180-80=100
z = 180-130=50
so, 30+50+100=180
Which of the following is equal to 7 1/3
You add 7 to 1/3 and that gives 22/3
What is the measure of the third side of a triangle below where P is the measure of the perimeter? 2x-3y x+2y p=5x+2y
Answer:
[tex]2x + 3y[/tex]
Step-by-step explanation:
Given
Shape: Triangle
[tex]P = 5x + 2y[/tex]
Sides: [tex]2x - 3y[/tex] and [tex]x + 2y[/tex]
Required
The measure of the third side
The perimeter of a triangle is the sum of all three sides;
Let the third side be represented by Side3
Hence;
[tex]Side3 + 2x - 3y + x + 2y = 5x + 2y[/tex]
Collect like terms
[tex]Side3 + 2x + x - 3y + 2y = 5x + 2y[/tex]
[tex]Side3 + 3x - y = 5x + 2y[/tex]
Collect like terms
[tex]Side3 = 5x + 2y - 3x + y[/tex]
[tex]Side3 = 5x - 3x + 2y + y[/tex]
[tex]Side3 = 2x + 3y[/tex]
Hence, the measure of the third side is 2x + 3y
In math list the angles in order from smallest to the largest
Answer:
A) S,T,R
Step-by-step explanation:
Please answer this correctly
Answer:
100%
Step-by-step explanation:
The numbers odd or greater than 1 are 1, 2, 3, 4, 5, and 6.
6 numbers out of 6.
6/6 = 1.
P(odd or greater than 1) = 100%
Answer:
100%
Step-by-step explanation:
So the original fraction is 6/6 because is is odd and 3 and 5 also 2,4,6 are all more than 1.
Which figure is described below?
The locus of points 9 units from the
point (-1,3) on the coordinate plane.
A. circle
B. plane
C. ray
D. line
Answer:
Option A.
Step-by-step explanation:
Circle contains all points in a plane that are equidistant from a point, i.e., center of the circle.
The locus of points 9 units from the point (-1,3) on the coordinate plane.
It means, the figure represents the set of all points which are 9 units from the point (-1,3).
So, the given describes a circle with of 9 units and center at (-1,3).
Therefore, the correct option is A.
At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
Answer:
{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)
Step-by-step explanation:
From this equation 4x − y = 3
-y = 3 - 4x
then, y = 4x - 3
From line equation y = mx + b
Therefore, the slope is 4
Since the are parallel line, they will have same slope
Finding the derivative of y = 2 + 2e^x − 4x
y = 2 + 2e^x − 4x
y' = 0 + 2e^x - 4
Therefore,
4 = 2e^x - 4
4 = e^x
x = ln 4 = 1.39
To find the y coordinate
y = 2 + 2e^x − 4x
y = 2 + 2e^ln 4 − 4 ln 4
y = 4.45
Hence, they are parallel at point (1.39 and 4.45)
which of these is a ratio table?
Answer:
The last graph.
Step-by-step explanation:
The last graph is the only one that has a constant pattern that can have a rule, which is every number is multiplied by two.
Hope this helped ! good luck :)
Please help me and my daughter.
Answer:
you can either factorise or use tge formula method
Step-by-step explanation:
3x2−7x−20=03x2-7x-20=0
Use the quadratic formula to find the solutions.
−b±√b2−4(ac)2a-b±b2-4(ac)2a
Substitute the values a=3a=3, b=−7b=-7, and c=−20c=-20 into the quadratic formula and solve for xx.
7±√(−7)2−4⋅(3⋅−20)2⋅37±(-7)2-4⋅(3⋅-20)2⋅3
Simplify.
Tap for more steps...
x=7±176x=7±176
The final answer is the combination of both solutions.
x=4,−53
A Japanese garden has a circular koi pond in the middle that has a radius of 3 feet. A rectangle with length of 16 feet and width of 14 feet. A circle with radius 3 feet is cut out of the rectangle. What is the area of the Japanese garden around the koi pond? Use 3.14 for Pi. 195.74 feet squared 224.00 feet squared 252.26 feet squared 337.04 feet squared
Answer:
first, find the area of the circle cut.
r= 3 feet
π=3.14
area of a circle= πr²= 3.14×3×3= 28.26 sq.feet
Now, find the area of the rectangle and subtract it by the area of the circle.
area of rectangle = l×b
length of the rectangle= 16 feet
breadth/width of the rectangular garden= 14 feet
area= 16×14= 224 sq. feet
now, area of the garden surrounding the koi pond= 224-28.26
=195.74 sq. feet
Answer:
A. 195.74
Step-by-step explanation:
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