Standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.
What is the standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Therefore, the standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.
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Hi you guys. Did I do this right ? I got 18
Answer:
the answer seems right to me
A painting service charges $65 for a project in addition to $11 per hour. if they charge you a total of $263, how many hours did it take to complete the project?
Answer:
18 hours.
Step-by-step explanation:
Subtract $65 from the total.
263 - 65 = 198
Divide by 11.
198 ÷ 11 = 18
Answer:
18 hours
Step-by-step explanation:
$263-$65=$198
$198÷$11=18 hours
solve the following below
6 3/5 + 4 1/2
|−5| − (−9) I need help asap!!!
Answer:
14
Step-by-step explanation:
the absolute value function always gives a positive result , that is
| - a | = | a | = a
- (- ) = + given
| - 5 | - (- 9)
= 5 + 9
= 14
Answer:
14
Step-by-step explanation:
Be extremely careful with absolute values, parentheses, and subtraction.
[tex]\left|-5\right|-\left(-9\right)=\left|-5\right|+9\\\left|-5\right|+9\\\left|-5\right|=5\\5+9\\=14[/tex]
1. What is the slope of the line that passes through the given points? (1
(2, 12) and (6, 11)
0-11
4
4
04
04
Answer:
Step-by-step explanation:
The slope of the line that passes through the given points (2, 12) and (6, 11) is -1/4.
expression for "the quotient of 6 and y."
Answer:
Step-by-step explanation:
That expression can be written as:
Hope it helped,
I HAVE 2 MINS TO ANSWER THIS HELP
Answer:
A.
Step-by-step explanation:
In the 2nd Quadrant, the y is POS and the x is NEG. That's what will happen if reflected from the 1st Quadrant over the Y axis.
Answer: A
Step-by-step explanation:
6/7 x 2 2/14 please answer my question and tell me how to get the answer
Answer:
90/49
Step-by-step explanation:
you want to convert 2 2/14 into 30/14 (2 x 14 is 28, 28 + 2=30)
reduce 30/14 into 15/7 by dividing by 2
multiply 6 x 15 and 7 x 7
90/49 is the answer and you cannot reduce it so that's the answer
To pay for a home improvement project that totals $9,000, Genesis is choosing between taking out a simple interest bank loan at 9% for 3 years or paying with a credit card that compounds monthly at an annual rate of 18% for 7 years. Which plan would give Genesis the lowest monthly payment?
The monthly credit card payment would be $295, which is lower than the monthly payment on the bank loan.
The monthly payment on a bank loan would be $272.50, which is lower than the monthly credit card payment.
The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
The monthly credit card payment would be $374.21, which is lower than the monthly payment on the bank loan.
well, first off, let's see how much each one costs per month.
so, hmmm if she goes with the Bank loan at 9% for 3 years
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$9000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &3 \end{cases} \\\\\\ A=9000[1+(0.09)(3)] \implies \boxed{A = 11430}[/tex]
now, that's for 36 months, so she'd be owing the Bank per month [tex]\cfrac{\stackrel{total}{11430}}{\underset{months}{36}}~~ = ~~\text{\LARGE 317.5}[/tex]
now let's take a look at the Credit Card's loan at 18% for 7 years
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$9000\\ r=rate\to 18\%\to \frac{18}{100}\dotfill &0.18\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A=9000\left(1+\frac{0.18}{12}\right)^{12\cdot 7} \implies A \approx \boxed{31433.31}[/tex]
now, in 7 years there are 84 months, thus [tex]\cfrac{\stackrel{total}{31433.31}}{\underset{months}{84}}\approx \text{\LARGE 374.21}[/tex]
so, the Bank will give her a better deal per month, and to be honest altogether.
The plan with simple interest will give the lowest monthly repayment.
The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
Option C is the correct answer.
What are simple interest and compound interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Compound interest is the interest that is made from the principal and the interest as well in consecutive years.
We have,
Simple interest:
Principal = $9000
Rate = 9%
Time = 3 years
Simple interest:
= P x R x T / 100
= 9000 x 9 x 3 / 100
= 2430
Amount = simles interest + principal
A = 9000 + 2430 = $11430
3 years = 36 months
Monthly payment = 11430 / 36 = $317.5
Compound interest:
Principal = $9000
Rate = 18%
Time = 7 years
A = P [tex](1 + \frac{18}{100}) ^{7}[/tex]
A = 9000 [tex](1 + 0.18) ^{7}[/tex]
A = 9000 x3.19
Amount = $28,710
7 years = 84 months
Monthly payment = 28710 / 84 = $341.78
Thus,
The plan with simple interest will give the lowest monthly repayment.
The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
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Not sure how to go about this
Answer:
hoping the equation wasn't cut off. from what i see it started at 1/2.
-3
__
Work[tex]\left(4\right)^2=16\\=\frac{1}{2}\cdot \:16-2\left(4\right)-3\\=\frac{1}{2}\cdot \frac{16}{1}\\=\frac{1\cdot \:16}{2\cdot \:1}\\=\frac{16}{2}\\\frac{16}{2}=8\\=8-2\left(4\right)-3\\2\left(4\right)\\2\cdot \:4 = 8\\=8-8-3\\8-8=0\\0-3\\= -3[/tex]
__
Hope this helps!
Given an Algebraic Expression: 8x³y - 11x²y² + xy³ +17.
1.1. What is the name of the algebraic expression?
Answer: The name of the algebraic expression is polynomial.
Step-by-step explanation: An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations .
A binomial expression is an algebraic expression which is having two terms, which are unlike. Examples of binomial include 5xy + 8.
similarly;
algebraic expression which is having only one term is known as a monomial. example: 5x,10y.
an expression with more than one term with non-negative integral exponents of a variable is known as a polynomial.
example: 8x³y - 11x²y² + xy³ +17.
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Answer:
Step-by-step explanation: algebric expression of degree4.
2.
Robert heard that there 94 different apartments in the part of New York City he is considering moving to
rental price is $1,800 with a standard deviation of $100. He is assuming his data is normally distributed
to know how many apartments he will have to look at if his goal rental price is $1,700. Use the standard
table to help Robert narrow down his search to How Many Apartments are priced under $1,700
OURSE
4. Which statement is false? (1 point)
Every integer is a real number.
Every real number is a rational number.
Every positive rational number has a square root.
Every integer is a rational number.
Answer:
Every positive rational number has a square root.
Step-by-step explanation:
this is not true because there are prime numbers
The cost to reserve a banquet hall is $500. The catering cost per guest is $17.50 for the first 40 guests and $14.75 for each additional guest.
a. Write a piecewise function describing the cost C
of the reunion.
b. Use a graphing calculator to graph the function
The piecewise function describing the cost C of the reunion are C(x) = 500 + 17.5x, where x <= 40 and C(x) = 1200 + 14.75(x - 40), where x > 40
Write a piecewise function describing the cost C of the reunion.The given parameters are:
Reserve = $500
Cost per guest = $17.50 for the first 40 guests
Cost per guest = $14.75 for each additional guest
The above means that
C(x) = 500 + 17.5x, where x <= 40
C(x) = 500 + 17.5 * 40 + 14.75(x - 40), where x > 40
Next, we evaluate the functions
This gives
C(x) = 500 + 17.5x, where x <= 40
C(x) = 1200 + 14.75(x - 40), where x > 40
Use a graphing calculator to graph the functionTo do this, we simply plot each function with its domain
See attachment for the graph of the piecewise functions
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What statements describe the properties of a plane? select three options. a plane is one dimensional. a plane has length and width. a plane extends infinitely in all directions. a plane is precisely defined. a plane is a flat surface.
The correct options for defining a plane are-
2)A plane has length and width.3)A plane extends infinitely in all directions5)A plane is a flat surface.What is a plane?A plane is a flat, 2-dimensional surface which extends indefinitely in mathematics. Planes can appear as infinitely expanded subspaces from some multidimensional space, such as one of the room's walls, or they can exist independently, as in the configuration of Euclidean geometry.
Some key properties of the plane are-
If two distinct planes exist, they either are parallel to one another or intersect in a line.A line either runs parallel to the a plane, intersects it at a specific point, or exists within the plane.If two distinct lines are perpendicular to same plane, they has to be parallel to one another.Two planes that are perpendicular to same line must be parallel.Parallel planes & intersecting planes are the two types of planes. Parallel planes are two non-intersecting planes, and intersecting planes are planes that intersect along a line.To know more about the plane, here
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The correct question is -
What statements describe the properties of a plane? Select three options.
1)A plane is one dimensional.
2)A plane has length and width.
3)A plane extends infinitely in all directions.
4)A plane is precisely defined.
5)A plane is a flat surface.
need a decent explanation thanks!
from what I read, the roads look like the picture below.
first off, we'd want to know the distance in "red", well, using the pythagorean theorem, that'd be √(127² + 47² ), which gives us around 135.4 miles.
now, the larger triangle containing the "red" line and the smaller triangle on the left-side containing the "green" line, are similar triangles by AA, so we can use proportions to get the distance from Appletown to "park and ride", because that is the distance that Irving is going to be covering at 45 mph, so that'd be like
[tex]\cfrac{135.4}{127}~~ \approx ~~\cfrac{\textit{park and ride}}{94}\implies \cfrac{135.4\times 94}{127}\approx\textit{park and ride}\implies 100.2\approx\stackrel{park~\&}{ride}[/tex]
now, we know that Irving is going to be covering that distance at 45 mph, so
[tex]\begin{array}{ccll} miles&hour\\ \cline{1-2} 45&1\\ 100.2&h \end{array}\implies \cfrac{45}{100}\approx\cfrac{1}{h}\implies h\approx\cfrac{100}{45}\implies h\approx 2.22[/tex]
without boring you to death, that's about 2 hours and 13 minutes.
well, that means Irving, taking off at 8am, is going to arrive at "park and ride" at 10:13am roughly.
now, we know Carol is taking off at 9am, an hour later than Irving, and she'll be traveling the "green" distance up to the junction, well, we know her distance is 42 miles plus some change, let's use proportions to get the change.
[tex]\cfrac{47}{127}=\cfrac{change}{94}\implies \cfrac{47\cdot 94}{127}=change\implies 34.8\approx change[/tex]
so for Carol to get to "park and ride" she'll be covering about 42 + 34.8 miles, and she needs to get there by 10:13am, that is, 1.22 of an hour later so she can get there at the same time Irving does.
so she needs to cover roughly 76.8 miles in 1.22 hours, let's do the fraction for that in miles over hours.
[tex]\cfrac{76.8~miles}{1.22~hour} ~~ \approx ~~ 62.95[/tex] due to rounding we get 0.95, but should be 0.94 if we adjust the rounding, but roughly [tex]\cfrac{76.8~miles}{1.22~hour} ~~ \approx ~~ 62.95~\frac{miles}{hour}[/tex]
The pearson correlation is calculated for a sample of n = 25 individuals. what value of df should be used to determine whether or not the correlation is significant?
The correlation is a significant non-zero value.
The number of samples is n.
n = 25
The correlation of the coefficient is r.
r = -0.40
When correlation is significant,
[tex]H _{0} : p = 0[/tex]
When correlation is non-zero,
[tex]H _{ \alpha } : p ≠0[/tex]
The test statistic is,
[tex]TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } [/tex]
[tex] = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } [/tex]
[tex] = \frac{ - 1.918 }{ \sqrt{0.84} } [/tex]
= -2.093
The test statistic is -2.093.
The correlation is,
[tex]H _{ \alpha } : - 2.93 ≠0[/tex]
The correlation is not equal to zero and is significant.
Therefore, the correlation is a significant non-zero value.
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Write two ratio that are equivalent to 4:5
Answer:
8:10, 12:15
Step-by-step explanation:
someone pls help asap thank u so much
Answer: $16.67
Step-by-step explanation:
8% of $48 = 16.67
The first one would be $ 3.59
Explanation- 15% of 23.95 = 3.5925
Rounded off to max. 2 decimal places:
Percentage of
15% of 23.95 ≈ 3.59
Find the product. Write your answer as a fraction in simplest form.
-2(-1 1/4)
Answer:
2.5
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation:
Negative times negative equals positive
2 * 1.25 = 2 * 1 + .25 * 2 = 2.5
Square root of 750 ..?
Answer: 27.3861278753
Step-by-step explanation:
√750 = 27.3861278753
work out the y^3 + 5y when y = 2
Step-by-step explanation:
y³ + 5y
2³ + 5 × 2
8 + 10
18...
Hi!
[tex]\diamondsuit[/tex] Plug in 2 for y:
[tex]\boldsymbol{2^3+5(2)}[/tex]
[tex]\diamondsuit[/tex] Cube 2 first:
[tex]\boldsymbol{8+5(2)}[/tex]
[tex]\diamondsuit[/tex] Multiply 5 times 2 next:
[tex]\boldsymbol{8+10}[/tex]
[tex]\diamondsuit[/tex] Add.
[tex]\boldsymbol{18}[/tex]
Therefore,
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\boldsymbol{Answer:~~18}}}}[/tex]
Cheers!!I hope I helped, have an amazing rest of your day!
If you need any explanation or clarification - comment! :)
find the product of the next two numbers in the sequence.
-27,-17,-13,-9, _ , _
Answer:
-5,-1
Step-by-step explanation:
add 4 to get the next number
4 (c) The high mountains of the world
Write 0.003 59 in standard form.
Answer:
answer is 3.59×10^-3.
.
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Suppose that a single die with 6 sides (numbered 1, 2, 3, ... , 6) is rolled twice. what is the probability that the sum of the two rolls equals 5 ?
The probability that the sum of the two rolls equals 5 is 1/16.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given a single die with 8 sides (numbered 1, 2, 3, ..., 8) is rolled twice, the total outcome will be:
Total outcome = 8^2
Total outcome = 64
For the sum of two rolls, the expected outcome will be:
E = {(1, 4), (4, 1), (3, 2), (2, 3)}
n(E) = 4
Pr(sum of the two rolls is 5) = 4/64
Pr(sum of the two rolls is 5) = 1/16
Hence the probability that the sum of the two rolls equals 5 is 1/16
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Esearchers followed 803 patients, of whom 398 ended up getting surgery. after two years, of those who had surgery, 63% percent said they had a major improvement in their condition, compared with 29% among those who received nonsurgical treatment. a. what is the probability that a patient had surgery and experienced a major improvement in his or her condition? b. what is the probability that a patient received nonsurgical treatment and experience a major improvement in his or her condition?
The required probability that a patient had surgery and experienced a major improvement 31% and that a patient received nonsurgical treatment 14.5%.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Number of patients who got surgery = 398,
63% of percent said they had a major improvement in their condition,
= 0.63 * 398 ≈ 250
29% among those who received nonsurgical treatment,
= 0.29 * (803 - 398)
= 0.29 * 405
≈ 117
Now,
The probability that a patient had surgery and experienced a major improvement in his or her condition.
= 250 / 803
= 31%
The probability that a patient received nonsurgical treatment and experienced an improvement in his or her condition.
= 117 / 803
= 14.5%
Thus, the required probability is 31% and 14.5%.
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If i have 608 employees and the total salary is $39,086,197.48; what is the average salary of employees?
Answer:
$64,286.51
Step-by-step explanation:
This is the arithmetic mean, and is calculated by adding a group of numbers and then dividing by the count of those numbers. In this case, you have the total number of employees and the total salary.
39,086,197.48 ÷ 608 = 64286.5090132
You would then round up.
A teacher surveys a random group of students about their preference for doing classwork
online or on paper. The results are shown in the table below.
STUDENT CLASSWORK
PREFERENCE
Preference
Online
Paper
Number of
Students
17
8
Based on the results, how many students out of 350 will most likely have a preference to
do their classwork online?
Show your work.
The number of students those who will most likely have their preference to do their classwork online is 238 out of 350
According to the question statement, A teacher surveys a random group of students about their preference for doing classwork online or on paper.
17 Preferred Online and 8 Preferred on paper.
We are supposed to find the number of students who will most likely have their preference to do their classwork online.
We will be using the concept of Probability for solving this.
[tex]Probability(Event)=\frac{Favourable Outcomes}{Total Outcomes}[/tex]
Probability(Event) = Favorable Outcomes/Total Outcomes
For the survey probability of students preferring online mode of classwork is = [tex]\frac{17}{17+8} =\frac{17}{25}[/tex]
= [tex]0.68[/tex]
Now if we consider a group of 350 students and probability of students preferring online mode of classwork as 0.68
Let the number students preferring online mode of classwork be "x"
so [tex]\frac{x}{350} =0.68[/tex]
or [tex]x=0.68*350\\x =238[/tex]
Therefore, the number of students those who will most likely have their preference to do their classwork online is 238 out of 350
Probability: P(A) = n(A)/n(S)where P(A) is the probability of an event “A”, n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.
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T / 23 equals -9 solve for t
Answer:
-207
Step-by-step explanation:
t/23 = -9
Multiply both sides by 23 to cancel out the denominator.
23 * (t/23) = (-9) * 23
t = -207