Answer:
[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex], option c
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used 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 = 16 - 1 = 15
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and an [tex]\alpha[/tex] level of [tex]\frac{1 - 0.95}{2} = 0.025[/tex], thus, we have [tex]t_{(0.025,15)}[/tex]
The margin of error is of:
[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have [tex]s = 50,n = 16[/tex]. So
[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]
[tex]M = t_{(0.025,15)}\frac{50}{\sqrt{16}}[/tex]
[tex]M = t_{(0.025,15)}\frac{50}{4}[/tex]
Upper bound:
The upper bound is less than the sample mean of 700 added to the margin of error of M. Thus
[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex]
And the correct answer is given by option c.
From a 60-ft observation tower on the coast, a Coast Guard officer sights a capsized boat. The angle of depression to the
boat is 5º. How far is the boat from the shoreline?
A. 173 ft
B. 523 ft.
C. 686 ft.
D. 60 ft.
C
How far is the boat from the shoreline? C. 686 ft.
One week, Gabriel bought 2 bags of beans and 3 bags of rice. The next week, he bought 4 bags of beans and 1 bag of rice. Let b represent the cost of each bag of beans and r represent the cost of each bag of rice. Simplify the expression for the total cost, shown below.
(2b + 3r) + (4b+ r)
Can someone help me with this?
Answer:
add to 180, equal, add to 180, equal
Step-by-step explanation:
<1 + <2 = 180
<1 = <3
<3 + <4 = 180
<2 = <4
state if the given functions are inverses
NO LINKS!!!! Part 1
Step-by-step explanation:
3:
h(x)=(-3x-15)/5
let y=(-3x-15)/5
interchanging role of x &y
x=(-3y-15)/5
5x+15=-3y
y=-(5x+15)/3
h-1(x)=-(5x+15)/3
not
equal to f(x)=(-3x-6)/4
Given function are not function of each other .
4:
g(x)=2/3x-2/3
let
y=2/3(x-1)
interchanging role of x &y
x=2/3(y-1)
3/2x+1=y
g-1(x)=3/2x+1
not equal to f(x)=½x+1
Given function are not function of each other .
Problem 1
Answer: You are correct. They are inverses--------------------
Explanation:
One way to see if we have an inverse pair or not is to compute these two composite functions
f(g(x))g(f(x))If both result in x, and just that, then we have shown that they are inverses of one another.
f(x) = (2x)/3
f(x) = (2/3)x
f(g(x)) = (2/3)*g(x)
f(g(x)) = (2/3)*(3/2)x
f(g(x)) = x
The steps to show that g(f(x)) = x are very similar
g(x) = (3/2)x
g(f(x)) = (3/2)*f(x)
g(f(x)) = (3/2)*(2/3)*x
g(f(x)) = x
So this verifies that you have the correct answer.
======================================================
Problem 2
Answer: These functions are inverses of each other.--------------------
Explanation:
We'll use the same idea as problem 1
f(x) = 2 - (3/4)*x
f(g(x)) = 2 - (3/4)*( g(x) )
f(g(x)) = 2 - (3/4)*( (-4/3)x + 8/3 )
f(g(x)) = 2 - (3/4)*(-4/3)x - (3/4)*(8/3)
f(g(x)) = 2 + x - 2
f(g(x)) = x
So far so good, but we need to check the other way around as well
g(x) = (-4/3)x + 8/3
g(f(x)) = (-4/3)*( f(x) ) + 8/3
g(f(x)) = (-4/3)*( 2 - (3/4)*x ) + 8/3
g(f(x)) = (-4/3)*(2) + (-4/3)*(-3/4)*x + 8/3
g(f(x)) = -8/3 + x + 8/3
g(f(x)) = x
This verifies that f(x) and g(x) are inverses of each other.
Problems 3 and 4 will have similar steps.
18
The measures tanker are shown
12 inches
10 inches
8 inches
Enter the come of the coolerin cubie inches
Answer:
78
Step-by-step explanation:
If y varies directly as x and y = 24 when
x= 16, what is y when x = 50?
Answer:
[tex]y = 75[/tex]
Step-by-step explanation:
Given
[tex]y\ \alpha\ \ x[/tex]
[tex]y=24; x =16[/tex]
Required
Find y when [tex]x = 50[/tex]
We have:
[tex]y\ \alpha\ \ x[/tex]
Express as equation
[tex]y = kx[/tex]
Solve for k
[tex]k = \frac{y}{x}[/tex]
When [tex]y=24; x =16[/tex]
[tex]k = \frac{24}{16}[/tex]
[tex]k = \frac{3}{2}[/tex]
When [tex]x = 50[/tex], we have:
[tex]y = kx[/tex]
[tex]y = \frac{3}{2} * 50[/tex]
[tex]y = 75[/tex]
A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
Answer:
2.25, or 2 1/4 or 9/4.
Step-by-step explanation:
3/4 times 3 = 9/4
Consider the sequence 1, 3, 9, 27, 81, … Which statement describes the sequence? The sequence diverges. The sequence converges to 1. The sequence converges to ∞. The sequence converges to –∞.
ANSWER: A
Answer:
a
Step-by-step explanation:
just took it!
If a fair coin is tossed 7 times, what is the probability, to the nearest thousandth, of getting exactly 5 heads?
Answer:
0.164
Step-by-step explanation:
delta math said so but
n=7 ; r=5; p=1/2
q= 1- 1/2 = 1/2
7c5(1/2)^5 (1/2)^2 = 0.16406 which is 0.164
Use the model to represent 80% as a fraction in simplest form.
0 A 9
10
O
В.
83
100
O
C.
4
5
o
D.
15
20
Answer: 45.
Step-by-step explanation:
Answer:
80% of 100 in fraction form is 4/5
Step-by-step explanation:
Use the completing the square method to transform the equation 2.2 + 2x = 13 into an equation of the form
(2 + a)? = b, where Q and bare real numbers. What are the values of Q and br?
Answer:55
Step-by-step explanation:
PLEASE HELP! I WILL GIVE BRAINLIEST! Determine whether the statement is always, sometimes, or never true.
13. If a triangle is acute triangle, then it is an equilateral triangle.
14. If a triangle has two acute angles it must be an acute triangle. 15.An obtuse triangle can have a right angle.
Answer:
Step-by-step explanation:
13. All equilateral triangles are acute triangles. An equilateral triangle has three sides of equal length and three equal angles of 60.~ I think it is False.
14. If a triangle has two acute angles, then the third angle must also be acute.~ I think it is true.
15. A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. ~I think it is false.
Please don't trust me... I hope I helped
~LampteyJ
x and y are two integers and x ≠ 0. Which of the following is not a rational number? a) z b) y c)x/y d) y/x
Answer: Choice A) z
==========================================================
Explanation:
x and y are two integers, with x being nonzero
This means x/y is rational as long as y is nonzero as well. If y = 0, then we have a division by zero error. Try something like 1/0 on your calculator and you'll find it doesn't work.
Similarly, y/x is rational as well. Any rational number is simply dividing two integers as a fraction like this. Other examples include stuff like 1/2, 4/5, 8/17, and so on.
Since y is an integer, this means we can write it like this: y = y/1. This shows any integer is also rational, but not the other way around. A fraction like 2/3 is rational but not an integer.
All of what was discussed above indicates that choices B, C and D can be ruled out. The only thing left is choice A. The variable z isn't defined, so it's not clear what it is exactly. But it's likely the answer as it's the only thing left after the eliminations.
Find the equation of the line. Use exact numbers
y= ?x+ ?
Answer:
y=3x+3
Step-by-step explanation:
slope is 3 because rise over run. Rise is 3 and run is 1. 3/1 is 3. and b= y-intercept and the poiunt wehre the line intercepts the y axis is 3. so your answer is y=3x+3
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 3x + 3 ← equation of line
What is the value of n in the equation shown below?
2² x 21 = (24)3
Answer:
4
Step-by-step explanation:
i hope this helped :]
Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did
each person invest?
Step-by-step explanation:
212×3= 636 two hundred and twelve multiple by three equals six hundred and thirty six
One more question 50 points
Answer:
5 complete scarves
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Total yarn = (amount of yarn per scarf) (amount of scarfs)
(8/9) = (1/6) (amount of scarfs)
amount of scarfs = (8*6)/9 = 48/9 = 5. 33333, so the amount of complete handkerchiefs she can make is 5.
Average rate change to the nearest hundredth can be which answer ?
Answer:
0.47
Step-by-step explanation:
f(x) = (x - 2)^(1/3)
average rate of change from x = -2 to x = 4 is [f(4) - f(-2)]/[4 - (-2)]
f(-2) = (-4)^(1/3) = -1.587401
f(4) = 2^(1/3) = 1.25992
[f(4) - f(-2)]/[4 - (-2)] = [1.25992 - (-1.587401)]/[4 - (-2)] = 0.47
Researchers wish to examine the effectiveness of a new weight-loss pill. A total of 200 obese adults are randomly assigned to one of four conditions: weight-loss pill alone, weight-loss pill with a low-fat diet, placebo pill alone, or placebo pill with a low-fat diet. The weight loss after six months of treatment is recorded in pounds for each subject. To analyze this data, you would use __________.
a. a z-test
b. a t-test
c. an ANOVA F test
d. a Chi-square test
Answer:b
Step-by-step explanation:
To analyze this data, you would use An ANOVA F test.
What is a normal distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center
The study involves comparing the weight loss of four groups of participants (weight-loss pill alone, weight-loss pill with a low-fat diet, placebo pill alone, or placebo pill with a low-fat diet) after six months of treatment. ANOVA (Analysis of Variance) is a statistical method used to analyze the differences among means of two or more groups.
In this case, ANOVA can be used to determine if there are significant differences in weight loss among the four treatment conditions.
A t-test or z-test would be appropriate if there were only two groups being compared.
A chi-square test is used to analyze categorical data, which is not applicable in this scenario where the data is continuous.
Therefore, an ANOVA F test would be used.
Learn more about normal distribution here:
https://brainly.com/question/29509087
#SPJ2
Mark bought a plasma TV for $2,499 on the installment plan. He paid a down payment of $300 and agreed to pay $101.50 a month for the next 24 months.
How much will he pay in all for the TV?
$2,499
$2,635
$2,736
$2,850
Asia Durr is practicing her free throws for the upcoming season. She took 12 shots and made 9 shots. Predict how many free throws Asia Durr would make if she took 72 shots in the season.
Answer:
its
Step-by-step explanation:
Is 46 ounces greater than 2 pounds? Pls help
Answer:
yes
Step-by-step explanation:
yes because 46 ounces is equal to 2.9 pounds
Answer: Yes
Step-by-step explanation:
Im correct because, 1 pound equals 16 ounces. So to find how much 2 pounds is we just have to multiply 16 by 2. 16 times 2 equals 32 ounces and 46 ounces is more then 32 ounces, so it is greater.
Hope This Helps!
You went out to lunch with three friends and your subtotal was $42 not including the sales tax of 6%.
Calculate what the total bill would be with the sales tax.
Answer:
It's DEFINITELY 2.52
Step-by-step explanation:
Change 6% to a decimal, which will be .06! Times $42 Times.06 and you'll end with the answer $2.52 !!!
The area of a rectangle is 108 square meters the width is 9 meters what is the length
Answer:
12
Step-by-step explanation:
9x12=108
Answer:
length is 12
Step-by-step explanation:
108 divided by 9 is 12
Two planes start from the same point and fly opposite directions. The first plane is flying 20 mph slower than the second plane in 2 h the planes are 540 mi apart. Find the rate of each plane
Answer:
This
Step-by-step explanation:
let x = rate of the slower plane (First plane!)
x+25 = rate of the faster plane (Second plane!)
The planes fly for 2 hours, where Distance = R*T
Distance between the planes = SUM of the distances.
R*T + R*T= 470 miles
2*x + 2*(x+25)=470
2x+2x + 50 = 470
4x+50=470
4x=420
x=105 mph First plane
x+25= 105+25=130 mph Second plane.
Answer:
4x+50=470
4x=420
x=105 mph First plane
x+25= 105+25=130 mph Second plane.
R^2
Step-by-step explanation:
At football games, Stagg Boosters charges $2 for hot chocolate and $3 for Gatorade. The boosters sold
126 drinks totaling $306. How many hot chocolates did they sell?
Pleas help!
Answer:
72 hot chocolates
Step-by-step explanation:
2h + 3g=306 equation 1 h=hot chocolate g=Gatorade
h + g =126. equation 2
h=126-g isolate h in equation 2
2(126-g) + 3g =306 substitute h value of equation 2 (126-6) into h value eq 1
252-2g+3g=306
g=54
solve for h:
h + g = 126
h+54=126
h=72
check answer:
2h + 3g=306
2(72) +3(54)=306
144+162=306
306=306
Solve for x then find the measure of arc GF.
Answer:
Step-by-step explanation:
180 = x + 135 + x + 65
-20 = 2x
-10 = x
x = -10
GF = 55°
Can someone please help me i will mark u brilliant
Answer:
11
Step-by-step explanation:
The line plot shows how many people read many many books with the number of "x"s above each number. So, through this graph, we see that 0 people read 0 books, 5 people read 1 book, 3 people read 2 books, 6 people read 3 books, 3 people read 4 books, 3 people read 5 books, 2 people read 6 books, 2 people read 7 books, and 1 person read 8 books. The problem asks how many people read 4 or more books. So, we add up all the people that read 4 or more books shown on the graph, which is 4, 5, 6, 7, and 8.
3 people read 4 books, 3 people read 5 books, 2 people read 6 books, 2 people read 7 books, and 1 person read 8 books.
3 + 3 + 2 + 2 + 1 = 11. 11 students read 4+ books.
you need to put a, b, c, d in the right four spots
Answer:
A: Southeast
B: Northwest
C: Southwest
D: Northeast
Step-by-step explanation:
Answer:
B: Northwest
C: Southwest
D: Northeast A: Southeast
5. Michelle sells flowers for weddings. The
price she charges (P) can be approximated by
the equation: P = 40 + 12d , where d
represents how many dozens of flowers are
ordered. Ann paid Michelle $400 for the
flowers at her wedding. How many dozens of
flowers did Ann order?
A. 37
B. 30
C. 25
D. 22
Answer:
B. 30
Step-by-step explanation:
since Ann paid $400, you set the equation equal to 400
400=40+12d
Then you solve for d to find how many dozen of flowers Ann ordered.
400-40=12d
360=12d
360/12=d
d=30