Answer:
d. The sample mean used to build this interval was 170 pounds.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
In this question:
Bounds 160 and 180, so the sample mean used was (160+180)/2 = 170, and thus the correct answer is given by option d.
At noon, ship A is 150 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM?
Answer:
At 4:00 PM the distance between the two ships is 104.40 kilometers.
Step-by-step explanation:
Given that at noon, ship A is 150 km west of ship B, and ship A is sailing east at 30 km / h and ship B is sailing north at 25 km / h, to determine how fast is the distance between the ships changing at 4:00 PM the following calculation must be performed:
150 - (30 x 4) = 150 - 120 = 30
0 + (25 x 4) = 0 + 100 = 100
30 ^ 2 + 100 ^ 2 = X ^ 2
√ (900 + 10,000) = X
√10,900 = X
104.40 = X
Therefore, at 4:00 PM the distance between the two ships is 104.40 kilometers.
Solve using the quadratic equation 3x^2+x-5=0
Answer:
comparing with ax²+bx+c=0
a=3, b=1 , c= -5
Solve using the formula now ,,
For a particular species of wolf, 55% are female, 20% hunt in medium-sized packs, and 15% are both female and hunt in medium-sized packs. What is the percent of wolves that are female but do not hunt in medium-sized packs?
: Use the image to complete the equation below.
Vertically opposite angles are equal.
So,
(11y - 36)° = 63°
=> 11y - 36 = 63
Answer:
11y-36=63
Step-by-step explanation:
use the concept of vertically opposite angle
What is the product of
(5^-4)(5^-3)
Answer:
option one is the correct answer
Answer:
1/625
Step-by-step explanation:
Omgg please help right now
Answer:
64in^3
Step-by-step explanation:
6×3 = 18
18×2 = 36
4×7 = 28
36+28 = 64
Hope this helps! :)
A construction company needs 2 weeks to construct a family room and
3 days to add a porch. Find the ratio of the time it takes for constructing the porch to the time constructing the family room, with all units in days.
Answer:
3/14
Step-by-step explanation:
it takes 3 days to construct a porch and 14 days to construct a family room
so porch/family room = 3/14
Brainliest if this was correct
There are four different colored balls in a bag. There is equal probability of selecting the red, black, green, or blue ball.What is the expected value of getting a green ball out of 20 experiments with replacement?
Answer:
The expected value is of 5 green balls.
Step-by-step explanation:
For each experiment, there are only two possible outcomes. Either it is a green ball, or it is not. Since there is replacement, the probability of a green ball being taken in an experiment is independent of any other experiments, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
20 experiments
This means that [tex]n = 20[/tex]
There is equal probability of selecting the red, black, green, or blue ball.
This means that 1 in 4 are green, so [tex]p = \frac{1}{4} = 0.25[/tex]
What is the expected value of getting a green ball out of 20 experiments with replacement?
[tex]E(X) = np = 20*0.25 = 5[/tex]
The expected value is of 5 green balls.
The expected value of getting a green ball out of 20 experiments with replacement is 5.
What is a binomial distribution?The binomial probability distribution of the number of successes in a sequence of n independent experiments is the binomial distribution with parameters n and p.
As it is given that the probability of all the balls coming out of the bag is equal. Therefore, the probability of a green ball coming can be written as,
[tex]\text{Probability of Green Ball} = 0.25[/tex]
Also, we can write the probability of not getting a green ball can also be written as,
[tex]\rm Probability(\text{Not coming Green Ball}) = P(Red\ ball)+P(Black\ ball)+P(Blue\ ball)[/tex]
[tex]=0.25+0.25+0.25\\\\=0.75[/tex]
Now, as there are only two outcomes possible, therefore, the distribution of the probability is a binomial distribution. And we know that the expected value of a binomial distribution is given as,
[tex]\rm Expected\ Value, E(x) = np[/tex]
where n is the number of trials while p represents the probability.
Now, substituting the values, we will get the expected value,
[tex]\rm Expected\ Value, E(Green\ ball) = 20 \times 0.25 = 5[/tex]
Hence, the expected value of getting a green ball out of 20 experiments with replacement is 5.
Learn more about Binomial Distribution:
https://brainly.com/question/12734585
Solve this
4 X (10 - 3+2)
Answer:
36
Step-by-step explanation:
10-3=7+2=9
4×9=36
36 is the answer
Which of the following is result of using the remainder theorem to find F(3) for the polynomial function F(x) = x^3 - 9x^2 + 5x - 2
A. -32
B. 11
C. -59
D. -41
-41
Step-by-step explanation:The remainder theorem states that when a polynomial F(x) is divided by (x - k) the remainder is F(k). In other words, the remainder when f(x) is divided by (x-k) is calculated by simply calculating F(k).
Given:
F(x) = x³ - 9x² + 5x - 2 -----------------(i)
To calculate F(3), substitute x = 3 into equation (i) as follows;
F(3) = (3)³ - 9(3)² + 5(3) - 2
F(3) = 27 - 81 + 15 - 2
F(3) = -41
This means that if the polynomial F(x) = x³ - 9x² + 5x - 2 is divided by x - 3, the remainder will be -41.
You have to find the value of k
Answer:
115
Step-by-step explanation:
It rains 1 day in a week and dry for 6 days. What fraction of the week is dry
Answer:
6/7
Step-by-step explanation:
7 days make a week. 7 would go into the denominator and 6 would go in the numerator. 6 is the amount of days through the week that it is dry.
Answer:
6/7
Step-by-step explanation:
[tex]\frac{number \ of \ dry \ days}{total \ number \ of \ days \ in \ a \ week} =\frac{6}{7}[/tex]
Cuál es el valor de x en la ecuación −7x+16=3x−4?
A.
2
Answer:
x=2
Step-by-step explanation:
16+4=3x+7x
20=10x
20/10=10x/10
2=x
82 less than r is less than -164
Answer:
82<r<-164
Step-by-step explanation:
We need to form an inequality of the given statement.
82 less than r is less than -164
Less than is written as <.
82 less than r means, 82<r
r is less than -164, r<-164
Combining two statements,
82<r<-164
Hence, the expression for 82 less than r is less than -164 is 82<r<-164.
what is nine and three hundred twenty-one thousandths in decimal notation?
Answer:
Step-by-step explanation:
Create a circle such that its center is point A and B is a point on the circle.
Answer:
The center of a circle is the point in the circle which is equidistant to all the edges of thr circle. The point a is the center, while point b is an arbitrary point in the circle. Find attachment for the diagram.
See attached writing an equation for the graph
y=
Answer:
Step-by-step explanation:
-2*x +2
it is reveresed with a y interecept of 2
What is the volume of the triangular prism shown below?
10
A. 100 cu. units
B. 200 cu. units
C. 400 cu. units
D. 300 cu. units
Answer:
B. 200 cu. units
Step-by-step explanation:
Volume of the triangular prism = ½*b*h*l
Where,
b = 8 units
h = 5 units
l = 10 units
Plug in the values
Volume of the prism = ½*8*5*10
= 4*5*10
= 200 cu. units
Juan and Lizette rented a car for one week to drive from Phoenix to Boise. The car rental rate was $250 per week and $0.20 per mile. By the most direct route, the drive is 926 miles. How much did they spend on the rental car?
( solution at pic)
What is the appropriate measure of angle B?
Answer:
36.87
Step-by-step explanation:
sin(b)/12 = .05
arcsin(.6) = 36.87
What’s this answer help please
B is the answer for this question hope it helps
when solving 4x-3=5 the property used in the first step is the____ property of equality
Answer:
x = 2
Step-by-step explanation:
4x-3 + 3 = 5 + 3
4x = 8
4x ÷ 4 = 8 ÷ 4
x = 2
Hi there!
»»————- ★ ————-««
I believe your answer is:
"When solving 4x-3=5 the property used in the first step is the addition property of equality."
[tex]\boxed{x = 2}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
We would 'undo' operations to solve for x. We would have to remove the '-3' first. Since the opposite of subtraction is addition, we would use the addition property of equality.⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'....}}\\\\4x-3=5\\----------\\\text{\textbf{Addition Property of Equality:} Add three on both sides.}}\\\\\rightarrow 4x - 3 = 5 \\\rightarrow 4x -3 + 3 = 5 + 3\\\\\rightarrow \boxed{4x = 8}\\\\\text{\textbf{Division Property of Equality:} Divide both sides by 4.}}\\\\\rightarrow {4x=8}\\\rightarrow \frac{4x=8}{4}\\\\\rightarrow \boxed{x = 2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which statement best describes g(x) = 3x + 6 - 8 and the parent function f(x) = } ?
The domains of g(x) and f(x) are the same, but their ranges are not the same.
* The ranges of g(x) and f(x) are the same, but their domains are not the same.
The ranges of g(x) and f(x) are the same, and their domains are also the same.
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.
Answer:
In general gf(x) is not equal to fg(x)
Some pairs of functions cannot be composed. Some pairs of functions can be composed only for certain values of x.
Only with they can be composed some values of x are the ranges of g(x) and f(x) are the same, and their domains are also the same. Or else lies inside it.
Step-by-step explanation:
g(x) = 3x + 6 - 8, f(x) = √x.
The domain of a composed function is either the same as the domain of the first function, or else lies inside it
The range of a composed function is either the same as the range of the second function, or else lies inside it.
Or vice versa
Now only positive numbers, or zero, have real square roots. So g is defined only for numbers
greater than or equal to zero. Therefore g(f(x)) can have a value only if f(x) is greater than or
equal to zero. You can work out that
f(x) ≥ 0 only when x ≥3/2
.
Write two pairs of integers (a, b) such that a / b = -4.
One such pair is (8, -2) because 8/ -2 = (-4).
Answer: a= 16 a=8
b=4 b=2
because, 2 when multiplied by 4 gives 8
4 when multiplied gives 16
Simplify 2(12-18\3+4)
Question
Simplify
[tex]2(12 - \frac{18}{3} + 4)[/tex]
Answer:-
ATQ->
[tex]2(12 - ( \frac{ \cancel{18}^{ \: \: \: 6} }{3} ) + 4 \\ 2(12 - 6 + 4) \\ 2(16 - 6) \\ 2(10) \\ 20 \: \: is \: your \: ans[/tex]
Answer:
Depends on how the 3 and the 18 are positioned in the fractions on the equation.
47/3
4
Step-by-step explanation:
Step 1. To simplify this, you need to know one of the most basic sayings in math which summarizes the Order of Operations: PEMDAS
Using PEMDAS:
P- Parenthesis
E- Exponents
M- Multiply
D- Divide
A- Add
S- Subtract
P- Parenthesis: We start off by preforming the parts of the equation within the parenthesis.
The 2 on the outside of the parenthesis, will not affect anything until we deal with what is inside the parenthesis.
The next part that we do, is to go through the rest of the steps, looking for either exponents, multiplication or division, skipping over the adding and subtracting until those are done.
The next part that we see, is Division.
D- Division
We find the point of division after the 18. The value we get has to be either:
a. 3/18
b. 18/3
depending on what you were asking for.
The equation, 2(12-18\3+4) at the bolded point, states that the division should be 1/6 because of the way of the division symbol.
Now the equation should either be one of the following:
a. 2(12-1/6+4)
b. 2(12-6+4)
A-Addition
Now, we can add the 4 to the number we got before, which should get us either
A. 1/6+4
B. 6+4
which added together gets us either
A. 25/6<=>4+1/6
B. 10
S-Subtraction
Now, we subtract both parts from the value of 12 getting us:
A. 12-(4+1/6)=12-4-1/6=8-1/6=7+5/6<=>47/6
B. 12-10=2
M-multiply:
Now we move on to the 2 we put aside earlier and multiply both of the answers:
A. 2(47/6)=47/3 or 15+2/3
B. 2(2)=4
Thus the answer is either 47/3 or 4
y-2x-1=0 for -2 ≤ x ≤ 4 . can someone help me graph a straight line for this pls ?
Answer: See the graph below.
It is a straight line segment with endpoints (-2,-3) and (4,9).
===============================================================
Explanation:
We're told that x is between -2 and 4, including both endpoints.
Let's see what y is when we plug in x = -2
y-2x-1 = 0
y-2(-2)-1 = 0
y+4-1 = 0
y+3 = 0
y = -3
So x = -2 pairs up with y = -3. The point (x,y) = (-2,-3) is on the line. This is the left most endpoint.
Repeat for x = 4 to find what y must be
y-2x-1 = 0
y-2(4)-1 = 0
y-8-1 = 0
y-9 = 0
y = 9
Therefore the point (x,y) = (4,9) is also on the line. It's the right most endpoint
Once we have the two points, we can form the straight line. Simply connect the endpoints mentioned as shown below. We don't extend the line infinitely outwards in both directions because [tex]-2 \le x \le 4[/tex] meaning x cannot be smaller than -2, and x cannot be greater than 4 either.
Side note: The given equation is the same as y = 2x+1. It has slope 2 and y intercept 1.
In a random sample of students at a university, stated that they were nonsmokers. Based on this sample, compute a confidence interval for the proportion of all students at the university who are nonsmokers. Then find the lower limit and upper limit of the confidence interval.
Answer:
(0.8165 ; 0.8819)
Lower boundary = 0.8165
Upper boundary = 0.8819
Step-by-step explanation:
Given :
Sample proportion. Phat = x/ n = 276/ 325 = 0.8492
Confidence interval :
Phat ± margin of error
Margin of Error = Zα/2* [√Phat(1 - Phat) / n]
Phat ± Zα/2* [√Phat(1 - Phat) / n]
The 90% Z critical value is = 1.645
0.8492 ± 1.645*[√0.8492(1 - 0.8492) / 325)
0.8492 ± 1.645*[√0.8492(0.1508) / 325]
0.8492 ± 1.645*√0.0003940288
0.8492 ± 0.0326535
Lower boundary = 0.8492 - 0.0326535 = 0.8165
Upper boundary = 0.8492 + 0.0326535 = 0.8819
Confidence interval = (0.8165 ; 0.8819)
tr(n)*2 I NEE HELP ASAP
Answer:
2TRN
Let me know if this is wrong!
233115555532224444432
Insert a digit in place of each “…” to make numbers that are divisible by 6 if it
is possible:
4…6
?
Answer: Either 2, 5, or 8
This means the number 426 is divisible by 6. So are 456 and 486
===============================================================
Explanation:
A number is divisible by 6 if both of the following are true
The number is divisible by 2The number is divisible by 3This is simply because 6 = 2*3. So if 6 is a factor of a number, then 2 and 3 must be factors.
To have 2 be a factor, the units digit must be in the set {0,2,4,6,8} which is the case here (the units digit is 6 in this case). Therefore we know the number is a multiple of 2 regardless of what the other digits are. To have 3 be a factor, the digits must add up to a multiple of 3. Through trial and error, we see that 0 doesn't work because 4+0+6 = 10 which is not a multiple of 3. Same goes for 4+1+6 = 11, but 4+2+6 = 12 is a multiple of 3.Therefore, 426 is a multiple of 6
Increment that middle digit 2 by 3 and we jump from 426 to 456. Those three digits add to a multiple of 3 as well (4+5+6 = 15). Following that line of logic, we go from 456 to 486 as the last possible three digit number that has these conditions of having 4 first and 6 last, and the number is a multiple of 6.
-------------------------------
In short,
The numbers 426 and 456 and 486 are all multiples of 6 since they are multiples of 2 and 3 at the same time.
So we could replace that middle digit with either 2, 5 or 8.
Identifying Possible Triangles
From which set of dimensions could a triangle be constructed?
side length of 8
side length of 5
side length of 14
O side length of 7
side length of 8
side length of 15
side length of 2
side length of 6
side length of 7
side length of 6
side length of 3
side length of 10 can somebody answer this quickly pls
Answer:
3rd triangle can be constructed with dimensions 2,6,7.
Step-by-step explanation:
sum of any two sides > third side.
difference of any two sides < third side
1.
8+5=13 not >14 (no triangle.)
2.
7+8=15 not >15 (no triangle)
3.
2+6=8>7
2+7=9>6
7+6=13>2
7-2=5<6
7-6=1<2
6-2=4<7
so it is a triangle.
4.
6+3=9 not >10 (not a triangle)
