Answer:
6,138
Step-by-step explanation:
Given the following:
Vocalist needed :
First day (a) = 6
For subsequent days : number doubles
Using the relation. :
Sn = a(r^n -1)/(r -1)
Where a = first term = 6
r = common ratio = r3/r2 = r4/r3
Since number doubles after each consecutive day, then ; r = 2, n = 10
Sn = 6(2^10 -1)/(2 -1)
Sn = 6(1024 - 1) / 1
Sn = 6144 - 6
Sn = 6138
A Buffalo school district randomly tests its employees to determine how many have gotten the flu shot this season. Their sample shows that 15 of them have gotten it, and 27 have not. Estimate the true proportion of employees in the district who have gotten a flu shot, with a 90% confidence level. Check conditions to see if you can use normal sampling distribution for sample proportion
Using the z-distribution, as we are working with a proportion, the 90% confidence level estimate for the true proportion of employees in the district who have gotten a flu shot is (0.2355, 0.4784).
What is a confidence interval of proportions?As long as there are 10 successes and 10 failures in the sample, that is, [tex]n\pi \geq 10[/tex] and [tex]n(1 - \pi) \geq 10[/tex], a confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, the parameters are:
[tex]n = 42, \pi = \frac{15}{42} = 0.3571, z = 1.645[/tex]
We have the [tex]n\pi = 15, n(1 - \pi) = 27[/tex], hence you can find the interval.
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3571 - 1.645\sqrt{\frac{0.3571(0.6429)}{42}} = 0.2355[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3571 + 1.645\sqrt{\frac{0.3571(0.6429)}{42}} = 0.4787[/tex]
The 90% confidence level estimate for the true proportion of employees in the district who have gotten a flu shot is (0.2355, 0.4784).
More can be learned about the z-distribution at https://brainly.com/question/25890103
In one study on the effect of coconut oil on hair growth, 140 subjects who acknowledged being long-time coconut oil users had their hair growth compared with those of 140 people who had never used coconut oil. In a second study, 80 subjects were randomly chosen to use coconut oil and 80 were chosen to use a placebo. Identify the types of studies performed.
The first study was an observational study whereas the second was a controlled experiment.
The first study was a controlled experiment whereas the second was an observational study.
Both studies were controlled experiments.
Both studies were observational studies.
Each study was part controlled experiment and part observational study.
Answer:
The first study was an observational study whereas the second was a controlled experiment.
I just took the test and it was right.
The first study was an observational study whereas the second was a controlled experiment.
What is study?Study is the devotion of time and attention to gaining knowledge of an academic subject, especially by means of books.
Here, given that,
In one study on the effect of coconut oil on hair growth, 140 subjects who acknowledged being long-time coconut oil users had their hair growth compared with those of 140 people who had never used coconut oil.
In a second study, 80 subjects were randomly chosen to use coconut oil and 80 were chosen to use a placebo.
Hence, The first study was an observational study whereas the second was a controlled experiment.
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#SPJ2
8.
Use the graph to
write an equation of the
and interpret the slope.
Answer:
cant really solve for it i think
Step-by-step explanation:
to find the slope use the equation
y 2 y- 1 / x2 - x1
300 - 180 / 3 - 5
120 / -2
-60
y = -60x + b
now to find the y-intercept you need another point so umm... you may need to ask your teacher
The questions are below! Best answer get brainliest! 50+ points!!
Poop answers get reported!!!
Be clear when answering!!!
1. 54
2. 4
3. 2
4. 60
5.46
Answer:
1. 54
2. 4
3. 2
4. 60
5.46
what are these number below as a fraction
1. 21.5
2. 7.42
3. 3.875
Answer:
1. 43/2
2. 371/50
3. 31/8
Help me asap 24 points and will mark
Answer:
Step-by-step explanation:what is your question
Heya! Mates....
Where is your questions....?
please post the question....
Lemme follow dear:)
Thanks:)Anyone else hate geometry
Answer:
35
Step-by-step explanation:
since KJ is a tangent to angle HJK is right 90°
then triangle KHJ is right triangle with hypothenus HK = 37
applying pytha
hk ² = kj ² + hj ²
37² = 12² + radius²
radius = sqrt (37² - 12²)
radius = sqrt (1225)
radius = 35
What is the distance between each pair of numbers? 0 and a
Answer:
a units
i do rsm and its right
answer: its a because ITS A
Each day, 1035 new apps are uploaded to a web server after 28 days. How many apps would have been uploaded?
Answer:
28980
Step-by-step explanation:
since 1035: nb of apps uploaded \ 28:days
then ; the rule of whole number multiplication is
1035×28=28980( nb of apps×days)
i need help please help me
Answer: -4
Step-by-step explanation:
This means we want to find where y=0.
This is at point A, since it has coordinates (-4, 0).
Since A has an x coordinate of -4, f(-4)=0.
x y 3 9 6 18 9 27 12 36 The table shows a proportional relationship between x and y. What is the unit rate of y per x? A) 1 B) 3 C) 6 D) 9
Answer:yes
Step-by-step explanation:
It does show a proportion relationship because it has an upward growth of approximately 5.99999483838and 6x so if you do that together in your calc then you can get that answer please vote 5 stars.
5(−3.4k−7)+(3k+21) =
Answer:
-14k-14
Step-by-step explanation:
I hope this helps :)
Answer:
-14k - 14
Thats what i got! And i got it right so i really hope that this helps
Pls answer i will mark u brainlist
Answer:
35000
Step-by-step explanation:
Convert 25m to cm
25m = 2500cm
2500 x 7 = 17500cm
Convert 17500cm to m
17500cm = 175m^2
Now take 175m^2 x 200
35000
At which approximate x-value are these two equations equal? A. 0. 5 B. 0. 8 C. 1. 2 D. 1. 4.
Answer:
What are the two equations?
Step-by-step explanation:
Once u answer that I'll edit this and answer ur question :)
At an international conference, flags from 12 different countries will be displayed. Of these flags, 6 are from the continent of South America and 6 flags are from the continent of Europe. The flags will be displayed in a row, alternating between continents. A flag from South America will be in the first position. In how many ways can the flags be displayed?
Using the Fundamental Counting Theorem, it is found that the flags can be displayed in 518,400 ways.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, we have that odd positions get South American countries, hence:
[tex]n_1 = 6, n_3 = 5, n_4 = 3, \cdots, n_11 = 1[/tex]
Even positions get European countries, hence:
[tex]n_2 = 6, n_4 = 5, \cdots, n_12 = 1[/tex]
Hence, since the number of ways for both the South American and European countries is the factorial of 6, we have that:
N = 6! x 6! = 518,400
The flags can be displayed in 518,400 ways.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
-6n - 2n= 16
Show answer
Answer:
n= -2
Step-by-step explanation:
¿cual es la respuesta?
Answer:
A=96
Step-by-step explanation:
An algebra tile configuration. only the product spot is shown. 9 tiles are in the product spot in 5 columns with 5 rows. first row: 1 x squared, 4 x. below the x squared tile are 4 x tiles. which value is needed in the expression below to create a perfect square trinomial? x2 8x ______ 4 8 16 64
We need 16 in the given expression to create a perfect square trinomial.
Let us say the given expression is:
[tex]x^{2} +8x +k^2[/tex]...............(1)
We can rewrite the above expression as:
[tex]x^{2} +2*x*4 +k^2[/tex].........(2)
What is (a+b) squared?The square of a+b is a²+2ab+b².
If we compare (2) with [tex]a^{2} +2ab+ b^{2}[/tex]
We get, a =x, b = 4 and k²=b²
Since b=4
So, k² =4²
k² =16
Put the value of k² in (1)
We get the expression [tex]x^{2} +8x +16[/tex]
Therefore, We need 16 in the expression [tex]x^{2} +8x+....[/tex]to create a perfect square trinomial.
To get more about polynomials visit:
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Answer: OPTION C aka 16
Step-by-step explanation:
write down and simplify the product of these three factors: 2x, 3x and -4z
2x,3x and -4z
-24x^2z is the answer
What is the value of m in the equation 5m − 7 = 6m 11? 18 1 −18 −1.
Answer:
18
Step-by-step explanation:
Find the value of n so that the line perpendicular to y=−15x − 6 passes through the points (n, −12) and (4, 8) .
Answer:
[tex]n = 304[/tex]
Step-by-step explanation:
Given
[tex]y = -15x - 6[/tex]
[tex]Points: (n,-12) \& (4,8)[/tex]
Required
Determine the value of n
First, we need to determine the slope of the given equation.
An equation is of the form;
[tex]y = m_1x + b[/tex]
Where m = slope.
By comparison.
[tex]m_1 = -15[/tex]
Since the given point and the given equation are perpendicular, then:
[tex]m = -\frac{1}{m_1}[/tex]
[tex]m = -\frac{1}{-15}[/tex]
[tex]m = \frac{1}{15}[/tex]
The slope of the point is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (n,-12)[/tex]
[tex](x_2,y_2) = (4,8)[/tex]
[tex]m = \frac{1}{15}[/tex]
So, we have:
[tex]\frac{1}{15} = \frac{8 - (-12)}{4 - n}[/tex]
[tex]\frac{1}{15} = \frac{8 +12}{4 - n}[/tex]
[tex]\frac{1}{15} = \frac{20}{4 - n}[/tex]
Cross Multiply
[tex]4 - n = 20 * 15[/tex]
[tex]4 - n = 300[/tex]
Solve for n
[tex]n = 4 + 300[/tex]
[tex]n = 304[/tex]
Which is true of a geometric point?
Answer:
It has no size i.e. no width, no length and no depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions. It has one dimension, length.
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
The cost of tuition at a 2 year school is $12,000 per academic year. Alejandro is eligible for $7,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school. What is the minimum amount he needs to save each month? $375 $450 $750 $1,200.
Division is one of the most basic arithmetical operators. The amount that Alejandro need to save for each month is $375.
What is division?The division is one of the most basic arithmetical operators. When we divide a number (P) by another number(q), then it tells us how many times the other number(q) must be added to itself to form the first number(P).
It is given that the cost of tuition for the two years is $12,000, while the financial aid that Alejandro is eligible for is $7500, therefore, the amount that he will not be able to pay with his scholarship(financial aid) will be the difference in the fees of the student and the financial aid he is getting.
Difference = Two-year tuition fees - Financial Aid
= $12,000 - $7,500
= $4,500
Now, since Alejandro needs to save for a year so the sum he saves is $4500 therefore, the amount he needs to save each month can be written as,
[tex]\text{Amount Alehjandro needs to save each moth}=\dfrac{\text{Amount that Alejandro need to save}}{\text{Number of months he needs to save}}[/tex]
[tex]\text{Amount Alehjandro needs to save each moth}=\dfrac{4500}{12} = \$375[/tex]
Hence, the amount that Alejandro need to save for each of the month so that he can pay his tuition fee is $375.
Learn more about Division:
https://brainly.com/question/1594099
The change, in yards, in a football team’s position on the field in the last 4 plays is -4, 8, -3, 2 Which list correctly compares the changes, in yards, in the football team’s position on the field?
Answer:
you must changed 4 8 and 3 2
5 2/3 / 3/3
please help it’s due at 11:59 and it’s 10:17 and last day to turn in missing work
Answer:
34/9 or 3 7/9
Step-by-step explanation:
to do this u must turn 5 2/3 into an improper fraction first
5 2/3 is also 17/3
to divide you can multiply the first number by the second numbers reciprocal or flipped numbers
17/3 * 2/3
you flipped 3/2 to make it 2/3
for 17/3 * 2/3 just multiply across
34/9
then you can make that a mixed number
3 7/9
that is your answer
Answer:
the answer is 3 7/9
Step-by-step explanation:
in order to find the answer to this you need to change the mixed fraction into a improper fraction then do the reciprocal on 3/2 would would change to 2/3. Then, since you cant divide fractions you need to multiply 17/3×2/3 which would give you 34/9. But since 34/9 is improper, you need to change it to a mixed fraction and simplify if you can. So that means your final answer should be 3 7/9
♡--------------------------------------------------♡
What is the negative reciprocal of 2
Answer:
- [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex]
The negative reciprocal is the negative of this, thus
reciprocal of 2 is - [tex]\frac{1}{2}[/tex]
3. Find the area of a trapezoid with bases 20 cm and 14 cm and height 5 cm.
Given :
Base = 20 cm and 14 cm.Height = 5 cm.To find :
Area of trapezoid.Solution :
We know,
[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times (b_{1} + b_{2}) \times h} }}[/tex]
Now, Substituting the values :
[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times (20 + 14) \times 5} }}[/tex]
[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{5}{2 } \times 34} }}[/tex]
[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{5}{ \cancel2 } \times \cancel{34}} }}[/tex]
[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}=5 \times 17} }}[/tex]
[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}=85} }}[/tex]
Therefore,
The area of the trapezoid is 85 cm² .Answer:
85cm²
Step-by-step explanation:
Here we are given a trapezium with base = 20cm and 14cm and height = 5cm . And we are interested in finding the area of the trapezium .
Figure :-
[tex]\setlength{\unitlength}{1.5cm}\begin{picture}\thicklines\qbezier(0,0)(0,0)(1,2.2)\qbezier(0,0)(0,0)(4,0)\qbezier(3,2.2)(4,0)(4,0)\qbezier(1.5,2.2)(0,2.2)(3,2.2)\put(0.8,2.4){$\bf A $}\put(3,2.4){$\bf D $}\put(-0.3,-0.3){$\bf B$}\put(4,-0.3){$\bf C$}\put(4.4,0){\vector(0,0){2.2}}\put( 4.4, 0){\vector(0,-1){0.1}}\put(4.6,1){$\bf 5\ cm$}\put(0, -0.5){\vector(1,0){4}}\put(0, -0.5){\vector( - 1, 0){0.1}}\put(1.7, - 0.9){$\bf 20\ cm $}\put(0.8, 2.8){\vector(1,0){2.5}}\put(0.8, 2.8){\vector( - 1, 0){0.1}}\put(1.7, 3){$\bf 14\ cm $}\end{picture} [/tex]
As we know that the area of trapezium is given by ,
[tex]\longrightarrow\rm Area =\dfrac{1}{2}(sum \ of \ || \ sides)\times height [/tex]
Here 20cm and 14cm are parallel sides .Substitute the respective values in stated formula,
[tex]\longrightarrow\rm Area =\dfrac{1}{2}(20cm +14cm)5cm \\[/tex]
Solve the parenthesis ,
[tex]\longrightarrow\rm Area =\dfrac{1}{2}\times (34cm)(5cm)[/tex]
Simplify by multiplying ,
[tex]\longrightarrow\rm \underline{\underline{\red{{Area = 85\ cm^2}}}}[/tex]
And we are done !
[tex]\rule{200}4[/tex]
Find the value of x. Then find the angle measures of the trapezoid.
Sum of angle
measures: 360°
the value of x is 120 ....
What is 6/8 minus 1/4? Answer as a decimal and reduce the answer.
Answer:
0.5 or 1/2
Step-by-step explanation:
so we make 6/8 have the same denominator as 1/4 (but if you want to make it harder sure make 1/4 have the same denominator loll)
6/8 = 3/4
3/4 - 1/4 = 2/4 = 1/2
Answer:
0.5 or 1/2
Step-by-step explanation:
hope this he's you
Stefan said that the y-intercept for the graph of the function f(x)=3log(x−7)+1 is 1. He also said that as x approaches positive infinity, the graph of f(x) approaches positive infinity. Describe which of Stefan's statements, if any, are incorrect, and, if so, correct the statements.
Answer:
see below
Step-by-step explanation:
f(x)=3log(x−7)+1
There is no y intercept
log (x) does not intercept the y axis. This shifts the function 7 units to the right so the graph will not intercept the y axis
Answers:
His first statement is incorrect
His second statement is correct.
======================================
Explanation:
The first statement is incorrect because plugging x = 0 into f(x) leads to
f(x) = 3*log(x-7)+1
f(0) = 3*log(0-7)+1
f(0) = 3*log(-7)+1
We stop here because we cannot take the log of a negative number (unless you want a complex number but that's for another time). This means that x = 0 is not in the domain. The domain is x > 7 to ensure that x-7 > 0. That way we avoid taking the log of a negative number, and taking the log of zero as well.
The vertical asymptote is at x = 7 and the log curve is entirely to the right of it, so there's no way it's reaching the y axis.
Simply put: there is no y intercept for this function.
---------------------
The second statement is correct.
The function y = log(x) has y go off to infinity when x does.
The same applies to y = 3log(x) and y = 3log(x-7) and y = 3log(x-7)+1
We can say it "rises to the right" as another way of describing part of the end behavior.
A graph can confirm this as shown below.