Answer:
The 95% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 185, \pi = \frac{100}{185} = 0.5405[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5405 - 1.96\sqrt{\frac{0.5405*0.4595}{185}} = 0.4687[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5405 + 1.96\sqrt{\frac{0.5405*0.4595}{185}} = 0.6123[/tex]
The 95% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).
Silvie states that the sum of a rational number and an irrational number is sometimes rational and sometimes irrational. Which statement correctly describes whether Silvie is correct or incorrect?
A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational
B) Silvie is correct; the sum of a rational number and an irrational number may be rational or irrational
C) Silvie is incorrect; the sum of a rational number and an irrational number is always rational
Answer:
A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational
Step-by-step explanation:
The concept of adding rational and irrational numbers states that the result will always be irrational.
Take for instance the addition of 4.5 and 3.142857
4.5 is a rational number because it can easily be expressed in fractions while 3.142857 is irrational because it can't be expressed as a simple fraction.
The addition of these two numbers gives 7.642857
7.642857 is an irrational number.
Similarly, any sum of two numbers (rational and irrational) will always result in irrational number.
Hence, Silvie is incorrect.
Answer:
A.
Step-by-step explanation:
Silvie is incorrect; the sum of a rational number and an irrational number is always irrational
What is the product?
(x - 3)(2x2 - 5x + 1)
N
273 - 2 + 16x + 3
2x3 - 11X2 + 16x + 3
O 2x3 - 11x2 + 16x - 3
O 2x3 - x2 + 16x - 3
The right answer is of option C
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] = 2 {x}^{3} - 11 {x}^{2} + 16x - 3 \\ [/tex]
Step-by-step explanation:
[tex](x - 3)(2 {x}^{2} - 5x + 1) \\ x(2 {x}^{2} - 5x + 1) - 3(2 {x}^{2} - 5x + 1) \\ 2 {x}^{3} - 5 {x}^{2} + x - 6 {x}^{2} + 15x - 3 \\ = 2 {x}^{3} - 11 {x}^{2} + 16x - 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
12
a + 5
18
Find the value of a.
A. 3
B. 5
C. 8
D. 11
What's the question asking? 12a+15(18)?
Answer:
the answer is 3
Step-by-step explanation:
If a rock falls from a height of 43 meters on Earth, the height H (in meters) after x seconds is approximately Upper H (x )equals 43 minus 4.9 x squared . (a) What is the height of the rock when xequals1.6 seconds? The height of the rock when xequals1.6 seconds is nothing meters.
Answer:
2.96 seconds
Step-by-step explanation:
Let H(x) = zero and solve for "x".
43 - 4.9x² = 0
4.9x²=43
x²=8.77
x=2.96
therefore, approximately when x=2.96seconds, the rock strike the ground.
help me in this question
who can solve everything the fastest
Answer:
Step-by-step explanation:
1. 90
2. 42,49
3. 2860
4. 13cm
5. 16-5=11
6. Sector
7. 1 whole no. 1 divided by 5
8. 7 and 4
9. 3/9
10.57.8
11. 19:20pm
12.
The Statue of Liberty in New York stands on top of a foundation and a pedestal. The statue, including foundation and pedestal, measures about 305 feet from the ground to the top of the statue’s torch. The statue herself stands 151 feet. What is the height of the foundation and pedestal?
Answer:
The answer is 154 ft.
Step-by-step explanation:
You would take the total height (305) and subtract is by the actual statue(151) to get your answer.
305-151=154
Answer:
154
Step-by-step explanation:
A house and a lot are apprised at $212,400.If the value of the house is four times the value of the lot, how much is house worth?
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
A. [tex]G(x) = x^2+7[/tex]
Step-by-step explanation:
To shift the function F(x), seven units upwards, there needs to be a 7 being added. Based on this, only "A," is correct.
An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Beverage Sample Size Sample Mean Sample SD Strawberry Drink 10 530 23 Cola 10 553 16 Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. (Use α = 0.05.)
Answer:
Step-by-step explanation:
This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean compression strength from the extra carbonation of strawberry drink and μ2 be the mean compression strength from the extra carbonation of cola.
The random variable is μ1 - μ2 = difference in the mean compression strength from the extra carbonation of strawberry drink and the mean compression strength from the extra carbonation of cola.
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 < μ2 H1 : μ1 - μ2 < 0
This is a left tailed test.
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(x1 - x2)/√(s1²/n1 + s2²/n2)
From the information given,
x1 = 530
x2 = 553
s1 = 23
s2 = 16
n1 = 10
n2 = 10
t = (530 - 533)/√(23²/10 + 16²/10)
t = - 2.6
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [23²/10 + 16²/10]²/[(1/10 - 1)(23²/10)² + (1/10 - 1)(16²/10)²] = 6162.25/383.752
df = 16
We would determine the probability value from the t test calculator. It becomes
p value = 0.0097
Since alpha, 0.05 > than the p value, 0.0097, then we would reject the null hypothesis. Therefore, at 5% significance level, the data suggests that the extra carbonation of cola results in a higher average compression strength.
According to www.whitehouse.gov, the government had about $2.1 trillion in receipts and $2.8 trillion in outlays (expenses) for 2013. Does this represent a surplus or a deficit? What was the ratio of the government's expenses to it's receipts for 2013? Express this as a decimal rounded to the thousandths place.
Answer:
The ratio of the government's expenses to it's receipts for 2013 is 1.3333333 trillion
Step-by-step explanation:
According to the given data we have the following:
Receipt=$2.1 trillion
Expenses=$2.8 trillion
Hence, it represent a decifit of $2.8 trillion-$2.1 trillion=$0.7 trillion
Therefore, to calculate the the ratio of the government's expenses to it's receipts for 2013 we would have to use the following formula:
ratio of the government's expenses to it's receipts=$2.8 trillion/$2.1 trillion
ratio of the government's expenses to it's receipts=1.3333333 trillion
The ratio of the government's expenses to it's receipts for 2013 is 1.3333333 trillion
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
c.
Step-by-step explanation:
The product of - 6 and a number x, increased by 23 is – 163. What is
the number?
Answer:
Hope this is correct
Natalie is scuba diving in the ocean. She starts 30 feet below sea level. She then dives down another 20 feet. From there, she goes up 15 feet. Which equation shows Natalie's current level?
Answer:
35
Step-by-step explanation:
30+20=50
50-15=35
(Brainliest helps)
Answer:
Answer on imagine math ;)
View the image.View the image.View the image.
Answer:
7098
Step-by-step explanation:
For this we need to identify the area of the garden entirely and subtract the area of the parallelogram getting our land of grass.
1) 65*110=7150
2) 13*4=52
3) 7150-52=7098
Please help me I have limited time plzzzz select all that apply
Answer:
B and C.
Step-by-step explanation:
just divide going all the way down starting from the number 4th spot. and if you get the same number each time, its exponential
Find the range of f(x) = 3x + 2 for the domain = {1,2,3}.
Answer:
Range = {5, 8, 11}
Step-by-step explanation:
On the function f(x) = 3x + 2
For the first domain, when x = 1, f(x) = 3(1) + 2 = 3 + 2 = 5
For the second, when x = 2, f(x) = 3(2) + 2 = 6 + 2 = 8
For the third domain, when x = 3, f(x) = 3(3) + 2 = 9 + 2 = 11
Simplify this God please
Answer:
10
Step-by-step explanation:
[tex] \frac{ \sqrt{75a} + \sqrt{12a} + \sqrt{27a} }{ \sqrt{3a} } \\ \frac{ \sqrt{(25 \times 3)a} + \sqrt{(4 \times 3)a} + \sqrt{(9 \times 3)a} }{ \sqrt{3a} } \\ \frac{ 5\sqrt{3a} + 2 \sqrt{3a} + 3\sqrt{3a} }{ \sqrt{3a} } \\ \frac{(5 + 2 + 3) \sqrt{3a} }{ \sqrt{3a} } = 10[/tex]
Answer: See below
Step-by-step explanation:
My old math notebook had simillar question,hope that help
√75a+√12a-√27a/√3a
=√a(3*25)+√a(3*4)+√a(3*9)/√3a
=√25*√3a+√4*√3a+√9*√3a/√3a
=(5+2+3)√3a/√3a
=5+2+3=10
r=p/4(c+k) for k, please help, thank you!
Answer:
[tex]k=\frac{-cp+4r}{p}[/tex]
Step-by-step explanation:
[tex]r=p/4(c+k)[/tex]
[tex]\frac{r}{p/4} =c+k[/tex]
[tex]\frac{r}{p/4} -c=k[/tex]
[tex]-cp+4r=kp[/tex]
[tex]\frac{-cp+4r}{p} =k[/tex]
Lauren drinks a variety of soft drinks. Over the past month, she has had 19 diet colas, 4 cans of lemonade, and 5 cans of root beer. a. Given this history, what is the probability that her next drink will be a diet cola? Lemonade? Root beer? b. What definition of probability should be used to answer this question?
Answer:
a.
Probability of Diet Cola = 19/28
Probability of Lemonade = 4/28
Probability of Root Beer = 5/28
b. Theoretical Probability
Step-by-step explanation:
Given
Diet Cola = 19
Lemonade = 4
Root Beer = 5
Required
Probability the her next drink will be
- Diet Cola
- Lemonade
- Root beer
To calculate the probability of each of the above, first we need to calculate the total number of drinks she's had
Total = Diet Cola + Lemonade + Root Beer
Total = 19 + 4 + 5
Total = 28
The probability that her next drink can be any of the above can then be calculated.
This is calculated by dividing each outcome by the total; as follows;
Probability of Diet Cola = 19/28
Probability of Lemonade = 4/28
Probability of Root Beer = 5/28
This type of probability is referred to as theoretical probability because it makes predictions base on previous occurrence of events.
Choose at random a person aged 20 to 39 years. Ask their age and marital status (never married, married, or widowed/divorced/separated). Offered is the probability model for 12 possible answers. Age in years 20 – 24 25 – 29 30 – 34 35 – 39 Never married 0.227 0.156 0.089 0.054 Married 0.027 0.086 0.137 0.148 Widowed/divorced/separated 0.006 0.015 0.022 0.033 (a) Is this a legitimate finite probability model? Select the correct description. No. This is not a legitimate finite probability model because each probability is between 0 and 1 , and all sum to 1 . Yes. This is a legitimate finite probability model because each probability is between 0 and 1 , and all sum to 1 . Yes. This is a legitimate finite probability model because the probabilities are all greater than 0 and do not sum to 1 . No. This is not a legitimate finite probability model because the probabilities are all greater than 0 and do not sum to 1 . (b) What is the probability that the person chosen is a 20 ‑ to 24 ‑ year‑old who is married? (Enter your answer rounded to three decimal places.) P(20‑ to 24‑year‑old who is married)= (c) What is the probability that the person chosen is 20 – 24 years old? (Enter your answer rounded to three decimal places.) P(20–24 year old)= (d) What is the probability that the person chosen is married? (Enter your answer rounded to three decimal places.) P(married)=
Answer:
(a)(B)Yes. This is a legitimate finite probability model because each probability is between 0 and 1 , and all sum to 1 .
(b)P(20‑ to 24‑year‑old who is married)=0.027
(c)P(20–24 year old)=0.26
(d)P(married)=0.398
Step-by-step explanation:
Given the probability model below:
[tex]\left\begin{array}{|c|c|c|c|c|}$Age in years& 20 - 24& 25 - 29& 30 - 34& 35 - 39\\$Never married& 0.227& 0.156& 0.089& 0.054\\ $Married &0.027& 0.086& 0.137& 0.148\\$Widowed/divorced/separated &0.006 &0.015& 0.022& 0.033\end{array}\right\\[/tex]
(a)
Adding the probability for each row, we obtain: 0.227+0.156+0.089+0.054=0.5260.027+0.086+0.137+0.148=0.3980.006+0.015+0.022+0.033=0.0760.526+0.398+0.076=1
Therefore this is a legitimate finite probability model because each probability is between 0 and 1 , and all sum to 1 .
(b) The probability that the person chosen is a 20‑24-year‑old who is married
P(20‑ to 24‑year‑old who is married)=0.027
(c)Probability that the person chosen is 20 – 24 years old
P(20–24 year old)=0.227+0.027+0.006=0.26
(d)Probability that the person chosen is married
P(married)=0.027+0.086+0.137+0.148=0.398Suppose you have been on the train for at least 5 hours. A passenger
says that the trip to Fairbanks takes 10 hours. Write an inequality
that describes in how many more hours h the train will reach
Fairbanks.
Answer:
[tex]h \leq 5[/tex]
Step-by-step explanation:
Time already spent on the train is at least 5 hours
Since the trip to Fairbanks take 10 hours, we have that, the sum of the number of hours left, h and the time already spent will be equal to 10.
[tex]t+h=10\\$Since the time for which the passenger has been on the train \geq 5\\5+h \leq 10\\h \leq 10-5\\$The inequality that describes in how many more hours, h the train will reach Fairbanks, therefore, is:\\h \leq 5[/tex]
Could someone give me the answer to this.
Answer:
B =33.69
Step-by-step explanation:
Since this is a right triangle, we can us trig functions
tan B = opposite side/ adj side
tan B = 6/9
Take the inverse tan of each side
tan ^ -1 tan B = tan ^-1 (6/9)
B =33.69006753
To the nearest hundredth
B =33.69
Answer:
33.69°
Step-by-step explanation:
From Trigonometry identity;
Tan<B = 6/9 = 2/3 [opposite/adjacent]
B = Tan^{-1} 2/3
=33.69°
Based on the Census, state A has 21 fewer electoral votes for president than state B. If the total number of electoral votes for these two states is 85, find the number for each state
Answer:
state A = 32 votes, state B = 53 votes
Step-by-step explanation:
Let the number of electoral votes for state A be a and state B be b
a = b - 21
a + b = 85
Substituting a for b - 21 in the second equation
2b - 21 = 85
2b = 106
b = 53
Plugging b back in
85 - 53 = 32
PLEASE HELP!!! Two towns are 1100 miles apart. A group of hikers starts from each town and walks down the trail toward each other. They meet after a total hiking time of 240 hours. If one group travels one half mile per hour slower than the other group, find the rate of each group.
Answer:
2.54 miles/hr
2.04 miles/hr
Step-by-step explanation:
Given: Distance between the two towns = 1100 miles
Difference between speeds = [tex]\frac{1}{2}[/tex] miles/hr
Total time when they meet = 240 hours
To find:
Let distance traveled by first group = [tex]x[/tex] miles.
Now, the distance traveled by second group = (1100-[tex]x[/tex]) miles/hr
The relation between Speed, Time and Distance is given as:
[tex]\text{Speed =} \dfrac{\text{Distance}}{\text{Time}}[/tex]
Let speed of first group = [tex]S_1[/tex]
[tex]S_1 = \dfrac{x}{240}[/tex]
Let speed of second group = [tex]S_2[/tex]
[tex]S_2 = \dfrac{1100-x}{240}[/tex]
As per question, [tex]S_1[/tex] = [tex]S_2[/tex] + [tex]\frac{1}{2}[/tex]
[tex]\dfrac{x}{240} = \dfrac{1100-x}{240} + \dfrac{1}{2}\\\Rightarrow \dfrac{x}{240} - \dfrac{1100-x}{240} = \dfrac{1}{2}\\\Rightarrow \dfrac{x-1100+x}{240} = \dfrac{1}{2}\\\Rightarrow 2x - 1100 = 120\\\Rightarrow 2x = 1220\\\Rightarrow x = 610 ft[/tex]
Now,
[tex]S_1 = \dfrac{x}{240}[/tex]
Putting value of [tex]x[/tex]:
[tex]S_1 = \dfrac{610}{240}\\\Rightarrow S_1 = 2.54\ miles/hr[/tex]
Similarly, putting value of [tex]x[/tex] in [tex]S_2[/tex]:
[tex]S_2 = \dfrac{1100-610}{240}\\\Rightarrow S_2=\dfrac{490}{240}\\\Rightarrow S_2 = 2.04\ miles/hr[/tex]
A worker is paid $2,350 monthly and has $468 withheld from each monthly paycheck. Which of the following is her annual net salary
Answer:
Annual net salary = $22,584
Step-by-step explanation:
Given:
Monthly wage = $2,350
Withheld paycheck = $468
Find:
Annual net salary = ?
Computation:
Total net salary = Monthly wage - Withheld paycheck
Total net salary = $2,350 - $468
Total net salary = $1,882
Annual net salary = Total net salary × 12
Annual net salary = $1,882 × 12
Annual net salary = $22,584
solve the expression x + 3 = 7
Answer:
x=4
Step-by-step explanation:
think of the equation like this: you have to do the inverse(opposite) operations so for adding you would subtract it. So for the adding 3 you would subtract it from both sides of the equation and get X=4
simplificar A=4x2-6x2+7x2-20x2+19x2
Answer:
4x²
Step-by-step explanation:
Your equation is 4x² - 6x² + 7x² - 20x² + 19x².
Since they all have the same variable, simply combine them all to find your answer.
4x² - 6x² + 7x² - 20x² + 19x²
-2x² + 7x² - 20x² + 19x²
5x² - 20x² + 19x²
-15x² + 19x²
4x²
8. If3:8=c:56, the value of c will be
The scale for the second values is 56/8 = 7
C = 3 x 7 = 21
C= 21
The top most point of a pyramid is at the center of a cube The height of a cube is 10 inches what is the volume of the square pyramid inside the cube?
Answer:
166.67 in³
Step-by-step explanation:
If the top of the pyramid is at half of the height of 10 cm tall cube, the height of the pyramid (h) is 5 inches.
Assuming that the base of the pyramid is the same as the base of the cube, the volume of the square pyramid is given by:
[tex]V=\frac{1}{3}*B*h[/tex]
Where B is the area of the square base:
[tex]V=\frac{1}{3}*(10*10)*5\\ V=166.67\ in^3[/tex]
The volume of the square pyramid inside the cube is 166.67 in³.
How do I solve this ?
Answer:
g(-9) = 1
Step-by-step explanation:
g(-9) is the value of the function at x = -9
Go over the x = -9 and go up until you hit the blue line
Read the value of y
g(-9) = 1