Answer: Well, 4 groups of four, and roughly 6 student in a group
Step-by-step explanation:
The question is not clear, but 25 divided by 4 is 6.25, but it’s students so 6 or 7.
Identity the conic section whose equation is R=1/(2-3sinx)
Answer:
hyperbola
Step-by-step explanation:
A graphing calculator shows the equation is that of a hyperbola.
__
Multiplying by the denominator gives ...
r(2 -3sin(x)) = 1
2r -3y = 1 . . . . . . . . substituting y=r·sin(x)
2r = 1 +3y . . . . . . . .isolating r
4r² = 1 +6y +9y² . . squaring both sides
4(x² +y²) = 1 +6y +9y² . . . . . substituting x²+y² = r²
4x² -5y² -6y -1 = 0 . . . . . . . . general form equation of a hyperbola
Harris Interactive® conducted a poll of American adults in August of 2011 to study the use of online medical information. Of the 1,019 randomly chosen adults, 60% had used the Internet within the past month to obtain medical information. Use the results of this survey to create an approximate 95% confidence interval estimate for the percentage of all American adults who have used the Internet to obtain medical information in the past month.
Answer:
[tex]0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570[/tex]
[tex]0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630[/tex]
The 95% confidence interval for the true proportion would be given by (0.570;0.630) .
And if we convert this into % we got (57.0%, 63.0%)
Step-by-step explanation:
The information given we have the following info given:
[tex] n = 1019[/tex] represent the sampel size
[tex] \hat p=0.6[/tex] represent the sample proportion of interest
The confidence level is 95%, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:
[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]
The confidence interval for the mean is given by the following formula:
[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]
Replacing the info given we got:
[tex]0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570[/tex]
[tex]0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630[/tex]
The 95% confidence interval for the true proportion would be given by (0.570;0.630) .
And if we convert this into % we got (57.0%, 63.0%)
Every year, census researchers collect data from 850 public and private hospitals across the United States. Which issue will invalidate the conclusion of the hypothesis test? Group of answer choices The data comes from only 850 hospitals in the U.S. when there are 5,700 hospitals in the U.S. Researchers received more data from public hospitals than from private hospitals. The data is selected by choosing the first 850 hospitals from an alphabetized list.
Answer:
Option C
Step-by-step explanation:
For a better, clear and unbiased sampling, choosing randomly might not allow for a biased sampling. Choosing in an alphabetical order might not give a representative of the whole hospitals both private and public, thus invigilator the conclusion of our hypothesis test.
Need help on this assignment it is due VERY SOON
All have something to do with area of composite figures. Please help. I'd be very greatful.
Answer
the first photo answer is 174 (2nd photo is A) Answer to 3rd photo is 72. The last photo is 8100 ft²
Step-by-step explanation:
1st Photo
12 x 12 is 144
5 times 12 divided by 6 - (5 x 6) 30
144 plus 30 is 174
2nd Photo
3 x 5 15
15 is A
3rd Photo
6 x 12 is 72
72 for 3rd Photo
4th Photo
90 x 90 is
8,100
A fair coin is flipped 10 times and lands on heads 8 times. Provide a reason to justify the difference between the experimental and theoretical
probabilities. Use the drop-down menus to explain your answer.
There should be a
Choose...
number of trials. With Choose...
flips of the coin, the experimental probability will likely
approach the theoretical probability of Choose...
Answer:
THere will be 8 heads and 2 tails
Step-by-step explanation:
I don't know
Of all the Sunny Club members in a particular city, 25% prefer swimming on weekends and 75% prefer swimming on weekdays. It is found that 20% of the members in that city prefer swimming on weekends and are female, while 55% of the members in that city prefer swimming on weekdays and are female.
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is_____.
P = Desired outcomes divided by the total outcomesm me
Answer:
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Prefers swimming on weekends.
Event B: Being female.
25% prefer swimming on weekends
This means that [tex]P(A) = 0.25[/tex]
It is found that 20% of the members in that city prefer swimming on weekends and are female
This means that [tex]P(A \cap B) = 0.2[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2}{0.25} = 0.8[/tex]
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.
The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm197.5 cm and a standard deviation of 8.3 cm8.3 cm. a. Find the probability that an individual distance is greater than 210.90210.90 cm. b. Find the probability that the mean for 1515 randomly selected distances is greater than 196.00 cm.196.00 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
Answer:
a) 5.37% probability that an individual distance is greater than 210.9 cm
b) 75.80% probability that the mean for 15 randomly selected distances is greater than 196.00 cm.
c) Because the underlying distribution is normal. We only have to verify the sample size if the underlying population is not normal.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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.
In this question, we have that:
[tex]\mu = 197.5, \sigma = 8.3[/tex]
a. Find the probability that an individual distance is greater than 210.9 cm
This is 1 subtracted by the pvalue of Z when X = 210.9. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{210.9 - 197.5}{8.3}[/tex]
[tex]Z = 1.61[/tex]
[tex]Z = 1.61[/tex] has a pvalue of 0.9463.
1 - 0.9463 = 0.0537
5.37% probability that an individual distance is greater than 210.9 cm.
b. Find the probability that the mean for 15 randomly selected distances is greater than 196.00 cm.
Now [tex]n = 15, s = \frac{8.3}{\sqrt{15}} = 2.14[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 196. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{196 - 197.5}{2.14}[/tex]
[tex]Z = -0.7[/tex]
[tex]Z = -0.7[/tex] has a pvalue of 0.2420.
1 - 0.2420 = 0.7580
75.80% probability that the mean for 15 randomly selected distances is greater than 196.00 cm.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
The underlying distribution(overhead reach distances of adult females) is normal, which means that the sample size requirement(being at least 30) does not apply.
Pls help with this one I give brainliest thank you! Number 7
Answer:
length x width x height = volume
5.5 x 2 = 11 x 3 = 33
33 ft.
hope this helps
if you have any questions you can ask!
Step-by-step explanation:
help please quick 100 points quick tell me what to write please if you now how to do this
Answer:
8 footballs
18 basketballs
36 baseballs
24 softballs
Step-by-step explanation:
Let f = footballs
f = 8
Let b = basketballs
b = 2+2f = 2 +2(8) = 2 +16 = 18
Let B = baseballs
B = 5f -4 = 5(8) -4 = 40-4 = 36
Let s = softballs
s = 6+1/2B = 6+1/2(36) = 6+18 = 24
The total is 86
f+b+B +s = 86
8+18+36+24 = 86
86=86
There are 8 footballs.
Two more than twice the number of footballs are basketballs:
2f + 2 = b
f = number of footballs
b = number of basketballs
In the first statement, there are 8 footballs. So, f = 8
2(8) + 2 = b
16 + 2 = b
18 = b
Therefore, there are 18 basketballs.
Four less than 5 times the number of footballs are baseballs:
5f - 4 = a
f = number of footballs
a = number of baseballs
In the first statement, there are 8 footballs. So, f = 8
5(8) - 4 = a
40 - 4 = a
36 = a
Therefore, there are 36 baseballs.
Six more than half of the baseballs are softballs:
a/2 + 6 = s
a = number of baseballs
s = number of softballs
In the third statement, there are 36 baseballs. So, a = 36
(36)/2 + 6 = s
18 + 6 = s
24 = s
Therefore, there are 24 softballs.
Best of Luck!
A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles: (5 points)
An oval is formed by a rectangle with semicircles at each end. The length of the rectangle is 62 inches. The width of the rectangle is 27 inches.
Which of the following is the perimeter of the inner edge of the frame?
Answer:
696.265 inches
Step-by-step explanation:
Radius = 27/2 = 13.5
2 semicircles + 2 lengths
(3.14 × 13.5²) + 2(62)
696.265 inches
Answer:
696
Step-by-step explanation:
The cost for a pack of 9 padlock is $25.20 find the unit price in dollars per padlock if necessary round your answer to the nearest cent.
Answer:
2.80
Step-by-step explanation:
Take the cost and divide by the number of padlocks
25.20/9
2.80
Each padlock costs 2.80
Answer:
$2.80
Step-by-step explanation:
25.20 is the total price, and there are 9 padlocks, so to get the price of each padlock, divide 25.20 by 9
25.20/9=2.8
write your answer in dollars: $2.80
In a bowl of marbles, there are 5 red ones, 6 green ones, and 4 blue ones. If two marbles are chosen at random with replacement If two marbles are chosen at random with replacement, find P(red and a blue).
Answer:
4/45.
Step-by-step explanation:
There are a total of 15 marbles in the bowl, so:
P(red) = 5/15 = 1/3
P(blue) = 4/15
Required probability = 1/3 * 4/15
= 4/45
Answer:
P(red, blue) = (5/15)*(4/15) = 4/45
how to graph y=2^x+3
Answer:
see below
Step-by-step explanation:
It is usually convenient to choose small exponents when graphing an exponential function. You can get a reasonable idea of the shape of the curve using x-values with a magnitude of 3 or less.
The exponential term 2^x has a horizontal asymptote of y=0 for large negative values of x. Adding 3 to that term shifts the horizontal asymptote up to y=3. Of course, everything else is shifted up the same amount.
You know that ...
2^-1 = 1/2
2^0 = 1
2^1 = 2
2^2 = 4
Adding 3 to these values will give you points on the graph for x=-1 to 2.
Erin built a wooden box to hold hay on her farm. The box is 3 m long, 1 m wide, and 1 m high. Hay costs $14 per cubic meter.
Answer:
It will cost 42 to completely fill the box with hay.
have a good day <3
2. Inflation is at a rate of 7% per year. Evan's favorite bread now costs $1.79. What did it cost 10 years ago? How long
before the cost of the bread doubles?
Answer:
It cost $0.91 10 years ago.
It takes 10.24 years for the cost of bread to double.
Step-by-step explanation:
The equation for the price of bread after t years has the following format:
[tex]P(t) = P(0)(1+r)^{t}[/tex]
In which P(0) is the current price, and r is the inflation rate, as a decimal.
If we want to find the price for example, 10 years ago, we find P(-10).
Inflation is at a rate of 7% per year. Evan's favorite bread now costs $1.79.
This means that [tex]r = 0.07, P(0) = 1.79[/tex]. So
[tex]P(t) = P(0)(1+r)^{t}[/tex]
[tex]P(t) = 1.79(1+0.07)^{t}[/tex]
[tex]P(t) = 1.79(1.07)^{t}[/tex]
What did it cost 10 years ago?
[tex]P(-10) = 1.79(1.07)^{-10} = 0.91[/tex]
It cost $0.91 10 years ago.
How long before the cost of the bread doubles?
This is t for which P(t) = 2P(0) = 2*1.79. So
[tex]P(t) = 1.79(1.07)^{t}[/tex]
[tex]2*1.79 = 1.79(1.07)^{t}[/tex]
[tex](1.07)^{t} = 2[/tex]
[tex]\log{(1.07)^{t}} = \log{2}[/tex]
[tex]t\log{1.07} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.07}}[/tex]
[tex]t = 10.24[/tex]
It takes 10.24 years for the cost of bread to double.
Jose invests $4000 in an investment account paying 8% annually for 12 years. Suppose the interest was compounded quarterly instead of annually.
How much would the future value of the investment increase?
Enter your answer as a dollar amount, such as: $302.26
Answer:
$275.6
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.
In this question:
[tex]P = 4000, r = 0.08, t = 12[/tex]
Anually:
[tex]n = 1[/tex]
Then
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(12) = 4000(1 + \frac{0.08}{1})^{12}[/tex]
[tex]A(12) = 10072.68[/tex]
Quarterly:
[tex]n = 4[/tex]
Then
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(12) = 4000(1 + \frac{0.08}{2})^{12*4}[/tex]
[tex]A(12) = 10348.28[/tex]
How much would the future value of the investment increase?
10348.28 - 10072.68 = 275.6
The future value of the investment would increase by $275.6.
Complete 12 for 10 points.
Answer:
5 minutes
Step-by-step explanation:
200+15=215
214/43=5
It moved up a total of 200 + 15 = 215 meters at 43 meters per minute
t = 215 m / (43 m/min) = 5 minutes
Answer: 5 minutes
solve for x round to the nearest tenths
Answer:7.3
Step-by-step explanation:
hypotenuse=h=16
Adjacent=x
Φ=63°
CosΦ=x/h
Cos63=x/16
Cross multiply
16 x cos63=x
Cos63=0.4540
16 x 0.4540=x
7.3=x
x=7.3
7y - 2y + 8 = 19 + 4y
Steve drew a triangle. Its sides were 5 m, 5 m, and 5 m.
It has three acute angles.
Complete the sentence to describe the triangle Steve drew.
Steve's triangle is
an acute triangle
and
Answer:
Acute and equilateral triangle
Step-by-step explanation:
An acute triangle is a triangle in which each of its angles measures less than 90 degrees.
There are three types of acute e triangle
1. Equilateral triangle: This is an acute triangle which has all of its sides equal as in the case of Steve.
2. Isosceles triangle is an acute triangle that has only two equal sides.
3. Scalene triangle is an acute triangle that has no Equal sides, that is, none of its sides are equal.
Answer:
Equilateral triangle
Step-by-step explanation:
Steve's triangle is an acute triangle.
An acute triangle has each of its 3 acute. That is the angles are less than 90°. It could be an equilateral triangle, isosceles or scalene triangle.
In this case, it is an equilateral triangle since all 3 sides (5m) are equal. Therefore all 3 angles of the triangles are equal( angle would be 60°).
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.The quantities xxx and yyy are proportional.
xxx yyy
777 353535
121212 606060
202020 100100100
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
Answer:
5
Step-by-step explanation:
Solving the given equation for r, we get ...
y = rx
y/x = r
Then we can find r from any pair in the table:
r = 35/7 = 5
The constant of proportionality is 5.
Answer:
y=3
Step-by-step explanation:
i did it in khan academy :)
The box plot show the weights, in pounds, of the dogs in two different animal shelters.
Which correctly compares the ranges of the data?
• The range shelter A in 11, and the range in shelter B is 4.
• The range in shelter A is 20, and the range in shelter B is 10.
• The range in shelter A is 13, and the range in shelter B is 8.
• The range in shelter A is 22, and the range in shelter B is 18.
Answer:
The range in shelter A is 22, and the range in shelter B is 18.
Subtract 8 from 30 shelter A which gives you 22. Then subtract 10 from 28 which gives you 18 for Shelter B.
Answer:
The range in shelter A is 22, and the range in shelter B is 18.
Subtract 8 from 30 shelter A which gives you 22. Then subtract 10 from 28 which gives you 18 for Shelter B.
Step-by-step explanation:
00:00
Hei has the element shown for his science experiment. How many kilograms of the material does he have?
(1.000 grams = 1 kilogram)
Copper
3,508 g
350.8 kilograms
35.08 kilograms
3.508 kilograms
0.3508 kilograms
Answer:
3.508 kilograms
Step-by-step explanation:
This question can be solved using a rule of three.
We have that each kilogram is 1000 grams. How many kilograms are there for 3508 grams?
1kg - 1000g
xkg - 3508g
[tex]1000x = 3508[/tex]
[tex]x = \frac{3508}{1000}[/tex]
[tex]x = 3.508[/tex]
So the correct answer is:
3.508 kilograms
A store sells gift cards in preset amounts. You can purchase gift cards for $20 or $30. You have spent $680 on gift cards. Write an equation in standard form to represent this situation. What are three combinations of gift cards you could have purchased?
Let x be the number of gift cards for $20, and let y be the number of gift cards for $30. Write an equation in standard form to represent this situation
Answer:
20x + 30y = 680
Step-by-step explanation:
Give me a good rating please!
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The equation represents the number of $20 and $30 gift cards bought.
20x + 30y = 680
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Number of gift cards for $20 = x
Number of gift cards for $30 = y
Total amount spend on gift card = $680
The equation represents the number of $20 and $30 gift cards bought.
20x + 30y = 680
Thus,
The equation represents the number of $20 and $30 gift cards bought.
20x + 30y = 680
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
Alice and Bob share some money in the
ratio 7:5. Alice got £4 more than Bob. How
much did Alice get?
Answer:
14
Step-by-step explanation:
7-5 = 2
4/2 = 2
2 x 7 = 14
One brand of coffee is packaged in cylinders where the height is equal to the radius, r. The volume of the package, in cubic centimeters, can be found using the function V(r) = πr3. The number of ounces of coffee in the cylinder depends on the volume of the cylinder, V, in cubic centimeters. This can be modeled by the function C(V) = 3.2V. Which function can be used to find the number of ounces of coffee in the can based on its radius? C(V(r)) = 32.768πr3 C(V(r)) = 3.2πr3
Answer:
C(V(r)) = 3.2πr3Step-by-step explanation:
This problem is a composition of function defined by C(V(r)), now we have the functions [tex]V(r)= \pi r^{3}[/tex] and [tex]C(V)=3.2V[/tex], where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,
[tex]C(V(r))=3.2(\pi r^{3} )[/tex]
Therefore, the right answer is the last choice.
Weights of men: 90% confidence; n = 14, x=161.5 lb, s =13.7 lb
Answer:
The 90% for the average weights of men is between 137.24 lb and 185.76 lb.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
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 = 14 - 1 = 14
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709
The margin of error is:
M = T*s = 1.7709*13.7 = 24.26
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 161.5 - 24.26 = 137.24 lb
The upper end of the interval is the sample mean added to M. So it is 161.5 + 24.26 = 185.76 lb
The 90% for the average weights of men is between 137.24 lb and 185.76 lb.
Sarah invested $800 in an account paying an interest rate of 3.5% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 8 years?
Answer:
$ 1,057.22
Step-by-step explanation:
A = $ 1,057.22
A = P + I where
P (principal) = $ 800.00
I (interest) = $ 257.22
After 8 years, total amount will be $1057.
Given that,
Principal amount that invested is (P) $800.Annual interest rate is (r) 3.5% or 0.035.We need to find total amount after (t) 8 years when, interest is compounding quarterly n (4).According to the given data, calculation are as follows,
Compound interest formula,
A = [tex]P (1 + \frac{r}{n} )^{nt}[/tex]
A = [tex]800 (1 + \frac{0.035}{4} )^{4\times 8}[/tex]
A = [tex]800 (1 + 0.00875 )^{32}[/tex]
A = $800 [tex]\times[/tex] 1.3215
A = $1057.2 or $1057.
Learn more: https://brainly.com/question/4557688
A cylinder has a base diameter of 8 feet and a height of 5 feet. What is its volume in
cubic feet, to the nearest tenths place?
Can someone answer I barely have any points now :(
A. True, a rhombus is a parallelogram with equal sides. A rhombus has four congruent sides.
B. True, but there are two other ways to find the area of a rhombus: there is the "diagonals" method and the "trigonometry" method.
C. False, the area of a rhombus is not less than the area of a parallelogram because it will depend on the diagonals.
D. False, a parallelogram is not always a rhombus because the dimensions and other attributes of a parallelogram may vary while the rhombus will remain equal for all aspects.
E. True, if you use the base times height formula but if you used any of the other formulas this would be false.
