Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
The average of a set of [tex]n[/tex] values is equal to the sum of all values in that set divided by [tex]n[/tex].
Conceptually, if [tex]p=n[/tex], the average should the mean of 70 and 92, which is 81. Since the combined mean is actually 86, we know that [tex]n>p[/tex] (just something to keep in the back of your mind).
To solve, write an equation using the definition of arithmetic mean (refer to the first sentence in the answer):
[tex]\frac{70p+92n}{p+n}=86,\\70p+92n=86(p+n),\\70p+92n=86p+86n,\\6n=16p,\\\frac{p}{n}=\frac{6}{16}=\boxed{\frac{3}{8}}[/tex]
How many centimeters are equal to 7 meters? Enter your answer in the box.
Answer:
56 but i could be wrong
Step-by-step explanation:
Quieres un chocolate?
Please help reply correctly in Spanish
Answer:
sí, (yo) quiero un chocolate
Select the correct answer.
Solve the following inequality for x.
x - 9 ≤ 2(9 - x)
A. x ≤ 9
B. x ≥ 11
C. x < -7
D. x < 1
x - 9 ≤ 2(9 - x)
x - 9 ≤ 18 - 2x
3x - 9 ≤ 18
3x ≤ 27
x ≤ 9
(just handle it like an equation)
Y is directly proportional to
the square of (x - 1). y=63
when x=4. find the value of y
when x=6.
Answer:
y = 100
Step-by-step explanation:
y [tex]\alpha[/tex] [tex](x -1)^{2}[/tex]
y = c ([tex]x^{2}[/tex] - 2x + 1)
When y = 63, x = 4;
63 = c ([tex]4^{2}[/tex] - 2(4) + 1)
= 9c
63 = 9c
c = [tex]\frac{63}{9}[/tex]
c = 7
Thus,
y = 4([tex]x^{2}[/tex] - 2x + 1)
The value of y when x = 6 can be determined as;
y = 4([tex]6^{2}[/tex] - 2(6) + 1)
= 4(25)
y = 100
Therefore, y = 100
7 is an unending decimal. Find the
circumference of the circle below using
exact TT
12
C = [?]
C=πd
Answer:
Solution given;
diameter[d]=12
we
have
circumference of circle=πd=12π
12 is a required answer.
_________
#LetsStudy
peter is 13 years old peters father is 6 years more than twice her age. how old is Peter's father
Answer:
32 years old.
Step-by-step explanation:
13 times 2 is 26, and 6 added to 26 is 32.
I hope this helps, have a nice day.
Retention rates in a weight loss program. Americans spend over $30 billion annually on a variety of weight loss products and services. In a study of retention rates of those using the Rewards Program at Jenny Craig in 2005, it was found that about 18% of those who began the program dropped out in the first four weeks.10 Assume we have a random sample of 300 people beginning the program.
a) What is the mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size? What is the standard deviation?
b) What is the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks?
Answer:
(a)
[tex]\mu=54[/tex]
The standard deviation is
[tex]\sigma=6.6543[/tex]
(b)
[tex]\mu=246\\\sigma=6.6543[/tex]
Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is
[tex]z=-1.73[/tex]
So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is
[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]
Step-by-step explanation:
Let X is a random variable that shows the number of people who would drop out of the Rewards Program within four weeks. Here X has binomial distribution with parameters n = 300 and p = 0.18.
(a)
The mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size is
[tex]\mu=np=300\cdot 0.18=54[/tex]
The standard deviation is
[tex]\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]
(b)
Let Y is a random variable that shows the number of people in the sample who will still be in the Rewards Program after the first four weeks. Here Y has a binomial distribution with parameters n= 300 and p=0.82. So mean of Y is
[tex]\mu=np=300\cdot 0.82=246\\\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]
Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is
[tex]z=\frac{Y-\mu}{\sigma}=\frac{234.5-246}{6.6543}=-1.73[/tex]
So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is
[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]
Find the greatest common factor of 56, 42, and 98.
Question 13 options:
A)
7
B)
36
C)
14
D)
24
Answer:
C, 14
Step-by-step explanation:
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14. (The greatest factor that they all have in common.)
Please vote brainliest, thanks!
What is the value of Y if x=1
Answer:
y=6
the first equation:
3(1)+y=9
3+y=9
y=6
the second equation:
y= -4(1)+10
y= -4+10
y=6
I hope this helped! :)
Solve for x. Round your answer to the nearest thousandth.
Answer:
b
Step-by-step explanation:
what is the total volume of a cone with a diameter of 4 cm inverted in a cube that's 6cm by 6 cm by 6 cm
Answer:
yes
Step-by-step explanation:
Hurry plz what is the following prouduct?
Answer:
2nd one
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
Answer:
A
Step-by-step explanation:
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have side
lengths 1 cm?
Answer:
First one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Rita made $289 for 17 hours of work. At the same rate, how much would she make for 13 hours of work?
Answer:$221
Step-by-step explanation:
Divide 289 by 17
Get 17, then multiply by 13.
Answer:
$221
Step-by-step explanation:
Use unit rates. First find out how much money Rita makes per hour. To do this, simply divide 289/17=17. Rita makes $17 per hour. We want to find out how much money she makes in 13 hours of work. So, we just need to multiply 17$*13=$221
Hope this helps!
Hopefully the photo posted...
The teacher of a statistics class records the heights (in inches) of his students and draws a box-and-whisker plot to look over the data collected. This box-and-whisker plot shows theresult. (a) What is the median height? (b) What is the range of heights?
Answer:
a) Median Height = 66 inches
b) Range of Heights = 18 inches
Step-by-step explanation:
a) The median in a box-and-whisker plot is the second quartile, located between the first and third quartiles indicated by the dashed line. Therefore, the median height is 66 inches.
b) The range in a box-and-whisker plot uses the same process of finding the range of a set of data. You find the difference between the maximum and the minimum values of the data. Therefore, the range of heights is 77 - 59 = 18 inches.
Help pls, the question is in the picture. I'm to lazy to do the math today. I hate math.
Answer:
C
Step-by-step explanation:
Both models represent half of the gymnasium, its just that one is vertical and one is horizontal. Both are basically correct. C is the right answer since it says both models are correct. Each class also does occupy 1/12 of the gymnasium since they get 1/6 of 1/2 of the gymnasium. Of means multiply so 1/6 * 1/2 = 1/12.
The cost of a large cake at a bakery is $21.00. The cost of a small cake is
$8.25. The bakery also charges a sales tax of 8.25% and a delivery cost of
$10.50 for each order. The following expression represents the cost of an
(1) order
1.0825(21x + 8.25y) + 10.5
What does the term (21x + 8.25y) represent?
A А
the total cost of the order before delivery
the total delivery cost of the order
B
the total cost of the large cakes ordered
the subtotal cost of all the cakes ordered
before tax and delivery
Answer:
The Subtotal cost of all the cakes before tax and delivery
Step-by-step explanation:
(21x+8.25y)
21 is the price of 1 large cake and X is the number of cakes they want to purchase not counting tax and delivery fee.
8.25 is the price of 1 small cake and Y is the number of cakes they want to purchase not counting tax and delivery fee.
Order of Operations
1) (35 - 5) - 5 - 22
6 ) (53 - 5) + 12 + 2?
I need help ASAP please due tomorrow
Answer:
answers are 3 and 62
Step-by-step explanation:
the answers were give above. If further instruction needed lmk :)
A consumer wanted to find out how accurate Siri (an Apple digital assistant) is, so he asked questions on general facts and recorded how many Siri got right. Out of the 84 questions he asked Siri, Siri responded correctly to 73 of them. What is the estimate of the population proportion
Answer:
The answer is "0.869"
Step-by-step explanation:
Number of sample [tex](n) = 84[/tex]
Number of correct response [tex](X) = 73[/tex]
Calculating the Sample proportion:
Formula:
[tex]\text{Sample proportion}=\frac{\text{number of sample}}{\text{correct responses}}[/tex]
[tex]=\frac{n}{X}\\\\= \frac{73}{84} \\\\=0.869[/tex]
The fuel efficiency (mpg rating) for cars has been increasing steadily since 1980. The formula for a car's fuel efficiency for a given year between 1980 and 1996 is E 0.36x + 15.9 where E is miles per gallon and z is the number of years after 1980. Note: Round your answers down to get the corresponding year. For instance, at 3.25, the year is 1983 .
a. In what years was the average fuel efficiency for cars less than 17 mpg (in interval form)?
b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?
Answer:
a) In the interval of [1980,1983].
b) In the interval of [1991, 1996].
Step-by-step explanation:
Fuel efficiency:
The fuel efficiency, for the cars, in x years after 1980, is given by:
[tex]E(x) = 0.36x + 15.9[/tex]
15.9 is the fuel efficiency in 1980.
a. In what years was the average fuel efficiency for cars less than 17 mpg (in interval form)?
From 1980 to:
[tex]E(x) < 17[/tex]
[tex]0.36x + 15.9 < 17[/tex]
[tex]0.36x < 1.1[/tex]
[tex]x < \frac{1.1}{0.36}[/tex]
[tex]x < 3.06[/tex]
3.06 = 1980 + 3 = 1983. So
In the interval of [1980,1983].
b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?
From x until 1996.
[tex]E(x) > 20[/tex]
[tex]0.36x + 15.9 > 20[/tex]
[tex]0.36x > 4.1[/tex]
[tex]x > \frac{4.1}{0.36}[/tex]
[tex]x > 11.38[/tex]
11.38 = 1980 + 11 = 1991. So
In the interval of [1991, 1996].
1. In two similar triangles, find the ratio of:
b. the perimeter, if the areas are 50cm and 16cm.
Answer:
54cm and 36cm
Step-by-step explanation:
triangle a : triangle b
50cm² : 16cm²
25 : 8
thus,
area of triangle a :
2cm×25cm
=50cm²
area of triangle b :
2cm×16cm
=32cm²
then,
perimeter of triangle a:
2cm+2cm+25cm+25cm
=54cm
perimeter of triangle b:
2cm+2cm+16cm+16cm
=36cm
Which set of side lengths forms a right triangle?
O 2,3, 13
O 4,6, 10
O 9, 12, 18
O 15, 36, 39
Awnser:
9,12,18
Step-by-step explanation:
you have to add the smallest numbers together and it has to be greater that the greatest number.
9+12= 21
21>18
Find the area of the regular polygon. Round to the nearest tenth
what is the sum of all the negative integers that are greater than -5?
Answer:
-10
Step-by-step explanation:
The negative integers greater than -5 are: -4, -3, -2, and -1. So,
(-4)+(-3)+(-2)+(-1) = -10
The figure below shows a circle with segment AB as it's diameter. The center of the circle is NOT known. A square needs to be inscribed in the circle with A and B as a pair of opposite vertices.
Which step will be used in the construction? PLEASE HELP
A. constructing four arcs on the circles circumference with the compass width as the radius
B. constructing a segment that is tangent to the circle at point A
C. constructing a perpendicular to a line segment through a point not lying on it.
D. constructing a perpendicular bisector of a line segment.
Answer:
its b i took the test
Step-by-step explanation:
Patrick is keeping track of how far he jogs each morning.
Use a ratio in lowest terms
to represent how much
farther he ran today
The ratio of
420 m to 1 km =
Answer:
21:50
Step-by-step explanation:
We need to find the ratio of 420 m to 1 km.
We know that,
1 km = 1000 m
So,
The ratio becomes,
[tex]\dfrac{420\ m}{1\ km}=\dfrac{420\ m}{1000\ m}\\\\=\dfrac{42\ m}{100\ m}\\\\=\dfrac{21}{50}[/tex]
So, the required ratio is 21:50.
PLEASE I NEED HELP! ILL GIVE BRAINLIEST!
Answer:
Your answer is correct
Step-by-step explanation:
B. 112 degrees
Answer:
x = 112
Step-by-step explanation:
x and 68 are supplementary angles so they add to 180
x+68 = 180
x = 180 -68
x = 112
Please help with imaginary numbers worksheet!
Problem 5
Answer: 6i------------------
Explanation:
We have these four identities
i^0 = 1i^1 = ii^2 = -1i^3 = -iNotice how computing i^4 leads us back to 1. So i^4 = i^0. The pattern repeats every 4 terms. So we divide the exponent by 4 and look at the remainder. We ignore the quotient entirely. We can see that 28/4 = 7 remainder 0. Meaning that i^28 = i^0 = 1.
We can think of it like this if you wanted
i^28 = (i^4)^7 = 1^7 = 1
Then the sqrt(-36) becomes 6i
So overall, we end up with the final answer of 6i
=============================================
Problem 6
Answer: -3i------------------
Explanation:
We'll use the ideas mentioned in problem 5
46/4 = 11 remainder 2
i^46 = i^2 = -1
sqrt(-9) = 3i
The two outside negative signs cancel out, but there's still a negative from -1 we found earlier. So we end up with -3i
In other words, here is one way you could write out the steps
[tex]-i^{46}*-\sqrt{-9}\\\\-i^{2}*-3i\\\\i^{2}*3i\\\\-1*3i\\\\-3i\\\\[/tex]
=============================================
Problem 7
Answer: -1------------------
Work Shown:
i^10 = i^2 because 10/4 = 2 remainder 2
i^19 = i^3 because 19/4 = 4 remainder 3
i^7 = i^3 because 7/4 = 1 remainder 3
Again, all we care about are the remainders.
[tex]i^{10}+i^{19} - i^{7}\\\\i^{2}+i^{3} - i^{3}\\\\i^{2}\\\\-1[/tex]
=============================================
Problem 8
Answer: -1 + i------------------
Work Shown:
i^22*i^6 = i^(22+6) = i^28
Earlier in problem 5, we found that i^28 = i^0 = 1
So,
[tex]i^1 - \left(i^{22}*i^{6}\right)\\\\i^1 - i^{28}\\\\i^1 - i^{0}\\\\i - 1\\\\-1+i[/tex]
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has an approximate normal distribution with mean 50 and a standard deviation 10. Use the Empirical Rule to determine the approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70.
Answer:
The approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70 is 0.9735.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 50, standard deviation = 10.
Between 20 and 70.
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
20
20 = 50 - 3*10
So 20 is 3 standard deviations below the mean. Of the 50% of the measures below the mean, 99.7% are within 3 standard deviations of the mean, that is, above 20.
70
70 = 50 + 2*10
So 70 is 2 standard deviations above the mean. Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, that is, below 70.
Percentage:
0.997*50% + 0.95*50% = 97.35%
As a proportion, 97.35%/100 = 0.9735.
The approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70 is 0.9735.
The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
5
Answer:
x = 10
Step-by-step explanation:
In an equilateral triangle, the altitude, or height is also the median and angle bisector. So, we can say a side of the equilateral triangle is 2 x 5 or 10. Every side of an equilateral triangle is congruent, so x is 10.