Answer:
Some of the examples of biological sequence of he Fibonacci sequence include:
O. petaled flowers like daisies
O. seeds on the head of a sunflower
O. change of seasons
O. bottom of a pine cone
Step-by-step explanation:
how many cubic units are there in one layer
Answer:
24 cubic units
Step-by-step explanation:
In the figures above it has 24 cubic units in one layer and it has 8 layers. If you are going to count the total number of cubic units the figure it has 192 cubic units which represent the volume of this figure. If you can still remember that volume of rectangular prism is the productvof its length width and height.
mark me as brainlest
Write an equation of the line below in the picture?
Answer:
0,-1, -7-2 is the correct answer
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail. A 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
Required:
Construct a 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail.
Answer:
The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.
This means that [tex]n = 603, \pi = \frac{142}{603} = 0.2355[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value 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}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694[/tex]
The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
Please help, I will mark you brainly, thank you if you do
Please explain well
Look at the picture
Answer:
Vertex: (1/2, 9/2)
the axis of symmetry: 1/2
x-intercept(s): (2,0) , (-1,0)
y-intercept: (0,4)
Step-by-step explanation:
you can search up math.way to solve math problems hope this helped!
(no dot between it ^) have a good day
Can someone help plz I’m stressing!
Jayda takes her dog Rolo to obedience training once each week. Jayda bought a box of 96 dog treats and split them evenly into b bags. Each bag contains 16 treats.
Write an equation to describe this situation.
How many dog bags of treats does Jayda have?
The median age of residents of the United States is 31 years. If a survey of 100 randomly selected U.S. residents is to be taken, use the normal approximation to the binomial distribution to approximate the probability that at least 57 will be under 31 years of age.
Answer:
P (x≥ 57) = 6.7789 e^-8
Step-by-step explanation:
Here n= 100
p = 31/100 = 0.31
We formulate the null hypothesis that H0: p= 0.31 against the claim Ha: p≠0.31
The significance level is chosen to be ∝= 0.05
The test statistic x to be used is X, the number U.S. residents is to be taken which is at least 57
The binomial calculator gives the
P (x≥ 57) = 6.7789 e^-8
IF ∝= 0.05 then ∝/2 = 0.025
We observe that P (x≥ 57) is less than 0.025
Hence we reject H0 and conclude that p ≠0.31
This is true because for normal distribution the median = mean which is usually the 50 % of the data.
ANSWER FAST I JUST NEED ANSWER
Answer: 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The graph shows 180 pages on it, and if you go over and down then it shows chapter 18.
SHORT ANSWER Question 7 Using the data set below, find the mean absolute deviation (MAD). 4,6,6,7,7,8,8,8,9 Steps to find Mean Absolute Deviation: Step 1: Find the distance of each data value from the mean by
Answer:
1.1111111111111
Step-by-step explanation:
Question 3 (4 marks)
A certain retail outlet found that 40% of all customers walking into their store will buy at least one item on
that occasion. Customers make a purchase independently from one another. Calculate the following
probabilities correct to 4 decimal places.
3.1. (2 marks) What is the probability that one or two out of the next four customers will make a purchase?
3.2. (2 marks) What is the probability that at least one out of the next four customers do not make a purchase?
Answer:
3.1 0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.
3.2 0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent of any other customer. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
40% of all customers walking into their store will buy at least one item on that occasion.
This means that [tex]p = 0.4[/tex]
4 customers:
This means that [tex]n = 4[/tex]
3.1 What is the probability that one or two out of the next four customers will make a purchase?
This is:
[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{4,1}.(0.4)^{1}.(0.6)^{3} = 0.3456[/tex]
[tex]P(X = 2) = C_{4,2}.(0.4)^{2}.(0.6)^{2} = 0.3456[/tex]
So
[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2) = 0.3456 + 0.3456 = 0.6912[/tex]
0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.
3.2. What is the probability that at least one out of the next four customers do not make a purchase?
This is:
[tex]P(X \leq 4) = 1 - P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.4)^{4}.(0.6)^{0} = 0.0256[/tex]
[tex]P(X \leq 4) = 1 - P(X = 4) = 1 - 0.0256 = 0.9744[/tex]
0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase
Jenny paid $17 for 2 large boxes of popcorn and 3 large soft drinks. Justin paid $10 for 1 large box of popcorn and 2 large soft drinks. Which system of equations could be used to find the costs of one large box of popcorn, p, and one large soft drink, s?
A. 2 p + 3 s = 17 p + 2 s = 10
B. 3 p + 2 s = 17 p + s + 10
C. 2 p + 3 x = 17 p + s = 10
D. 2 p + 3 s = 10 p + 2 s = 17
2p + 3d = 17
1p + 2d = 10
^
|
3
D is the correct answer
eeeeeeeeeeeeeeeeeeeeeeehhhheelllllllpppppppppp
Answer:
2/3
Step-by-step explanation:
My brain is too big
Answer:
2/3
Step-by-step explanation:
What is the product?
4
-2
1
6
7
30
Answer:
-2
Step-by-step explanation:
Mrs. Nickel puts a variety of wrapped chocolate candies in a bag. There are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies. If 15 students select one candy at a time out of the bag, without looking, and replace the candy after each draw, how many students would be expecting to select a gold-wrapped candy from the bag?
Answer:
5 students would be expecting to select a gold-wrapped candy from the bag.
Step-by-step explanation:
Since Mrs. Nickel puts a variety of wrapped chocolate candies in a bag, and there are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies, if 15 students select one candy at a time out of the bag, without looking, and replace the candy after each draw, to determine how many students would be expecting to select a gold-wrapped candy from the bag, the following calculation must be performed:
5 + 1 + 2 + 4 = 12
4 gold-wrapped candies out of 12 in total
4/12
15 x 4/12 = X
15 x 0.333 = X
5 = X
Therefore, 5 students would be expecting to select a gold-wrapped candy from the bag.
What the answer please help me
Answer:
It's c
Step-by-step explanation:
[tex] \sqrt{ {15}^{2} + {8}^{2} } = 17 \\ \sin(x) = \frac{8}{17} \\ \cos(x) = \frac{15}{17} [/tex]
In triangle ABC, the complement of < B is < A.
Which statement is not always true?
Answer:
[tex](c)\ \tan B = \sin A[/tex]
Step-by-step explanation:
Given
[tex]\angle A + \angle B = 90[/tex] --- Complement angles
See attachment for complete question
Required
Which is not always true
To do this, we simply test each option
[tex](a)\ \sin A = \cos B[/tex]
The above is always true, if A and B are complements.
Examples are:
[tex]\sin(40) = \cos(50)[/tex]
[tex]\sin(90) = \cos(0)[/tex]
etc
[tex](b)\ \sec A = \csc B[/tex]
The above is always true, if A and B are complements.
The expression can be further simplified as:
[tex]\frac{1}{\cos A} = \frac{1}{\sin B}[/tex]
Cross Multiply
[tex]\sin B = \cos A[/tex]
This is literally the same as (a)
[tex](c)\ \tan B = \sin A[/tex]
The above is not always true, if A and B are complements.
The expression can be further simplified as:
[tex]\frac{\sin B}{\cos B} = \sin A[/tex]
Cross multiply
[tex]\sin B = \sin A * \cos B[/tex]
If A and B are complements. then
[tex]\sin A = \cos B[/tex]
So, we have:
[tex]\sin B = \sin A * \sin A[/tex]
[tex]\sin B = \sin^2 A[/tex]
The above expression is not true, for values of A and B
[tex](d) \cot B = \tan A[/tex]
The above is always true, if A and B are complements.
An example is:
[tex]\cot (55) = \tan (25) = 0.7002[/tex]
etc.
need help plz help me out i have a bad grade rn
Answer:
I only know the second part sorry
9.35
Step-by-step explanation:
3(9)÷4+2.6=
27÷4+2.6=
6.75+2.6=
9.35
The recommended adequate intake (RAI) of calcium for adults is 1000 mg. per day. To investigate the calcium intake of people living below the poverty level, a researcher obtained a random sample of 18 adults below the poverty level and found a mean daily calcium intake of 947.4 mg.
Required:
a. Determine the margin of error
b. Find 95% confidence interval fo rthe population mean
c. Interpret the confidence inteval. ( explain what it tells us about the estimated mean daily camlium intake for the population).
Answer:
93.50
(853.90 ; 1040.90)
Step-by-step explanation:
Mean, xbar = 947.4 mg
Sample size, n = 18
σ = 188
Margin of Error :
Tcritical * σ/√n
TCritical at 95% , df = n - 1 = 17 = 2.11
Margin of Error = 2.11 * 188/√18 = 93.50
The 95%, confidence interval :
Xbar ±Margin of error
Lower boundary = Xbar - margin of error
Lower boundary = 947.4 - 93.50 = 853.90
Upper boundary = Xbar + margin of error
Lower boundary = 947.4 + 93.50 = 1040.90
(853.90 ; 1040.90)
I need help. someone help me and quick,!
Answer:
true
Step-by-step explanation:
because 25+11 = 36
______
For a sample of 9 automobiles, the mileage (in 1000s of miles) at which the original front brake pads were worn to 10% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 10% of their original thickness. The results were as follows:
Car Rear Front
1 41.6 32.6
2 35.8 26.7
3 46.4 37.9
4 46.2 36.9
5 38.8 29.9
6 51.8 42.3
7 51.2 42.5
8 44.1 33.9
9 47.3 36.1
Find a 95% confidence interval for the difference in mean lifetime between the front and rear brake pads.
Answer:
(8.734 ≤ μd ≤ 10.026)
Step-by-step explanation:
Given the data:
Car Rear Front
1 41.6 32.6
2 35.8 26.7
3 46.4 37.9
4 46.2 36.9
5 38.8 29.9
6 51.8 42.3
7 51.2 42.5
8 44.1 33.9
9 47.3 36.1
Difference, d :
9, 9.1, 8.5, 9.3, 8.9, 9.5, 8.7, 10.2, 11.2
Mean difference, μd = Σd / n = 84.4 / 9 = 9.38
Standard deviation of difference, Sd = 0.84 (calculator)
The confidence interval :
μd ± margin of error
Margin of Error = Tcritical * Sd/√n
TCritical at 95%, df = 9-1 = 8
Tcritical = 2.306
Margin of Error = 2.306 * (0.84/√9) = 2.306*(0.84/3) = 0.64568
Lower boundary = 9.38 - 0.64568 = 8.73432
Upper boundary = 9.38 + 0.64568 = 10.02568
(8.734 ; 10.026)
Solve for V . -2(v+1)=3v-17 Simplify your answer as much as possible.
Answer:
v = 3
Step-by-step explanation:
You can start by distributing -2:
-2v - 2 = 3v -17
Next, add 2v to both sides to combine the v terms:
-2v - 2 = 3v - 17
+2v +2v
-2 = 5v - 17
To isolate the v term, we add 17 to both sides:
-2 = 5v - 17
+17 +17
15 = 5v
Lastly, divide by 5 to get v:
15 = 5v
÷ 5 ÷5
3 = v --> v = 3
Factor y2 - 5y - 1y+ 5 by grouping.
A) (y + 1)(y – 5)
B) (y - 1)(y – 5)
C) (y - 1)(y + 5)
D) (y + 1)(y + 5)
Answer:
C
Step-by-step explanation:
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Answer:
the answer is (y-1) (y-5)
I need help with this
Answer:
i thinck its just 1 and 2
Step-by-step explanation:
So lost. How do I find the area when the height isn’t shown.
Answer:
By taking the height as x most probably
Step-by-step explanation:
SOMEONE PLEASE ANSWER I NEED THE ANSWER URGENTLY!!!! PLEASE ILL GIVE U BRAINLIEST I JUST NEED ANSWERS!!!
Identify the functions that exhibit a removable discontinuity
if your recipe for minestrone soup call for 3 quart of chicken broth. You have 2 liters. How much more do you need? give answer in quarts.
What’s the value of this expression?
6x4-(5+3) dividend by 2
Answer:
20
Step-by-step explanation:
If you use PEMDAS(Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) you would take care of what's in the parentheses, so you would at 5 and 3 to get 8. Then you would multiply 6 and 4 to get 24, so far your equation looks like this 24 - 8 ÷ 2. You then divide 8 by 2 to get 4 then subtract 24 from 4 to get 20.
An investment of $8500 increases in value by 4.5% every year. How long until the investment reaches about $17323.
Answer:
It would take 16 years and 64 days until the investment reaches about $ 17323
Step-by-step explanation:
Given that an investment of $ 8500 increases in value by 4.5% every year, to determine how long it would take until the investment reaches about $ 17323, the following calculation must be performed:
8,500 x (1 + 0.045 / 1) ^ X = 17,323
8,500 x 1,045 ^ X = 17,323
1,045 ^ X = 17,323 / 8,500
1.045 ^ X = 2.038
1,045 ^ 16,175 = 2,038
X = 16.175
1 = 365
0.175 = X
0.175 x 365 = X
63.875 = X
Therefore, it would take 16 years and 64 days until the investment reaches about $ 17323
Find the equation of a circle that is centered at the origin and is tangent to the circle (x−6)^2+(y−8)^2=25
Center: ( 6 , 8 )
Radius: 5
Answer:
[tex] x^2 +y^2 = 25 [/tex]
Step-by-step explanation:
Center of the required circle = (0, 0)
Center of the given circle = (6, 8)
Radius of the given circle = 5 units
Distance between the centers of both the circles
[tex] =\sqrt{(6-0)^2 +(8-0)^2} [/tex]
[tex] =\sqrt{(6)^2 +(8)^2} [/tex]
[tex] =\sqrt{36 +64} [/tex]
[tex] =\sqrt{100} [/tex]
[tex] =10\: units [/tex]
Since, required circle is tangent to the given circle with radius 5 units.
Therefore,
Radius of required circle = 10 - 5 = 5 units
Now, Equation of required circle can be obtained as:
[tex] (x - 0)^2 +(y - 0)^2 = 5^2 [/tex]
[tex] (x)^2 +(y)^2 = 25 [/tex]
[tex] x^2 +y^2 = 25 [/tex]
Which of the following equations have no solutions?
Choose all answers that apply:
5x + 5 = -4.0-5
4x + 5 = -435
- 4x + 5 = - 48 - 4
- 4x + 5 = – 4x – 5
Answer:
Answer D
Step-by-step explanation:
First equation
5x + 5 = (-4) - 5
5x + 5 = -9
5x = -14
x = -2.8
Solvable
Second equation
4x + 5 = -435
4x = -440
x = -110
Solvable
Third equation
-4x + 5 = (-48) - 4
-4x + 5 = -52
-4x = -57
4x = 57
x = 14.25
Solvable
Fourth equation
-4x + 5 = -4x - 5
5 = -5
Not solvable