Answer:
×=126+28
=154 degrees
A random sample of 17 hotels in Boston had an average nightly room rate of $165.40 with a sample standard deviation of $21.70. The critical value for a 98% confidence interval around this sample mean is ________.
Answer:
153.158 ; 177.642
Step-by-step explanation:
Given the following:
Sample mean (m) = 165.40
Sample standard deviation (s) = 21.70
Sample size (n) = 17
α = 98%
Confidence interval = m ± z(SE)
z at 98% = 2.326
SE = s/√n
SE = 21.70/√17 = 5.2630230
Hence,
Confidence interval = 165.40 ± 2.326(5.2630230)
165.40 - 12.241791498 OR 165.40 + 12.241791498
153.158 ; 177.642
Determine wheather the given lines are parallel or not. Write the reasons .
Answer:
yes it is parallel because the alternate interior angles are equal
what is the density of the rectangular prism 3cm 4cm 6cm that weighs 36 grams?
Answer:
a. 0.5 g/cc
Step-by-step Explanation:
Given:
Measurement of rectangular prism = 3 cm × 4 cm × 6 cm
Mass of rectangular prism = 36 grams
Required:
Density of rectangular prism
SOLUTION:
[tex] Density = \frac{Mass}{Volume} [/tex]
Mass = 36 g
Volume = 3*4*6 = 72 cm³
[tex] Density = \frac{36}{72} [/tex]
Density = 0.5 g/cc
An ice sculpture is melting at a constant rate. Its weight changes -1 4/5 pounds every hour. What is the total change in weight of the sculpture after 3 1/2 hours
Answer:it said i was wrong and the correct answer should have been -6 3/10
Step-by-step explanation:
The total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.
What is rate of change of function?"The rate of change function is the rate at which one quantity is changing with respect to another quantity."
Given: The weight of an ice sculpture changes [tex]-1\frac{4}{5}[/tex] pounds every hour.
We need to find the total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours.
i.e., the rate of change of an ice sculpture per hour is -1 4/5 pound.
Total change in weight of the sculpture after t hours
= change in the weight of the sculpture per hour × t
= [tex](-1\frac{4}{5}) \times (3\frac{1}{2} )[/tex]
= [tex](-\frac{9}{5} ) \times (\frac{7}{2} )[/tex]
= [tex]-\frac{63}{10}[/tex]
= [tex]\bold{-6\frac{3}{10}}[/tex] pounds
Therefore, the total change in weight of the sculpture after 3 1/2 hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.
Learn more about rate of change here:
https://brainly.com/question/11499305
#SPJ2
Which number line shows 1/3 and its opposite
Shelley and her friend are working together on a group homework assignment. Shelley has
completed 2/12 of the problems and her friend has completed another 9/12 of them.
Together, what fraction of the problems have they completed so far?
Answer: The answer is 11/12 problems
Step-by-step explanation:
You add 2/12 + 9/12 which gives you a result of 11/12
Find mWYZ as well Find mACB please help with both. Thank you every much! Triangles, Need help, right now I’m does adding more stuff so it can stop saying 20 characters.
Answer:
m<WYZ = 23°
m<ACB = 87°
Step-by-step explanation:
Problem 1: Find WYZ
Given,
m<WVX = (3x - 7)°
m<VYZ = (16x - 3)°
∆WYZ ~ ∆WVX, therefore:
m<WYZ = m<WVX (corresponding angles of similar triangles are congruent)
m<WYZ = (3x - 7)° (substitution)
Create an equation to find the value of x.
m<WYZ + m<VYZ = 180° (linear pair)
(3x -7)° + (16x - 3)° = 180° (substitution)
Solve for x
3x - 7 + 16x - 3 = 180
Add like terms
19x - 10 = 180
Add 10 to both sides
19x - 10 + 10 = 180 + 10
19x = 190
Divide both sides by 19
19x/19 = 190/19
x = 10
m<WYZ = (3x - 7)
Substitute x = 10
m<WYZ = 3(10) - 7 = 30 - 7
m<WYZ = 23°
Problem 2: Find m<ACB
Given,
m<A = 62°
m<AED = (11x - 2)°
m<B = (6x + 13)°
∆ADE ~ ∆ACB, therefore:
m<AED = m<B (corresponding angles of similar ∆s are congruent)
(11x - 2)° = (6x + 13)°
Solve for x
11x - 2 = 6x + 13
Collect like terms
11x - 6x = 2 + 13
5x = 15
Divide both sides by 5
5x/5 = 15/5
x = 3
m<ACB + m<B + m<A = 180° (sum of ∆)
m<ACB + (6x + 13) + 62° = 180° (substitution)
Plug in the value of x and solve
m<ACB + (6(3) + 13) + 62° = 180°
m<ACB + (6(3) + 13) + 62° = 180°
m<ACB + (18 + 13) + 62° = 180°
m<ACB + 31° + 62° = 180°
m<ACB + 93° = 180°
Subtract 93 from both sides
m<ACB = 180° - 93°
m<ACB = 87°
What equation is equivalent to 3x+6=4x+7
Answer:
x=-1
Step-by-step explanation:
The first thing we can do is subtract 3x from both sides (it makes solving the equation easier if you get rid of the variable first).
3x+6=4x+7
-3x -3x
6=x+7
All we need to do now is subtract 7 on both sides.
6=x+7
-7 -7
-1=x or x=-1 (they both mean the same thing!)
Hope this helps!! Have a wonderful day c:
Write 81% as a fraction. There is no need to simplify your answer.
Answer:
81/100
Step-by-step explanation:
Answer:
81/100
Step-by-step explanation:
If x^(y)=5^(x-y) then dy/dx=
First, rewrite
[tex]x^y=e^{\ln x^y}=e^{y\ln x}[/tex]
[tex]5^{x-y}=e^{\ln5^{x-y}} = e^{\ln(5)(x-y)}[/tex]
Now, differentiate both sides using the chain rule:
[tex]\dfrac{\mathrm d\left(e^{y\ln x}\right)}{\mathrm dx}=\dfrac{\mathrm d\left(e^{\ln(5)(x-y)}\right)}{\mathrm dx}[/tex]
[tex]e^{y\ln x}\dfrac{\mathrm d(y\ln x)}{\mathrm dx}=e^{\ln(5)(x-y)}\dfrac{\mathrm d(\ln(5)(x-y))}{\mathrm dx}[/tex]
[tex]x^y\left(\dfrac{\mathrm dy}{\mathrm dx}\ln x+y\dfrac{\mathrm d(\ln x)}{\mathrm dx}\right)=\ln(5)5^{x-y}\left(\dfrac{\mathrm d(x)}{\mathrm dx}-\dfrac{\mathrm dy}{\mathrm dx}\right)[/tex]
[tex]x^y\left(\ln x\dfrac{\mathrm dy}{\mathrm dx}+\dfrac yx\right)=\ln(5)5^{x-y}\left(1-\dfrac{\mathrm dy}{\mathrm dx}\right)[/tex]
[tex]\left(x^y\ln x+\ln(5)5^{x-y}\right)\dfrac{\mathrm dy}{\mathrm dx}=\ln(5)5^{x-y}-yx^{y-1}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\ln(5)5^{x-y}-yx^{y-1}}{x^y\ln x+\ln(5)5^{x-y}}[/tex]
Which of the following lists the numbers shown below in order from least to
greatest? Please hurry
Let z = z = 8 (cosine (StartFraction pi Over 3 EndFraction) + I sine (StartFraction pi Over 3 EndFraction) ) and w = 3 (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction) ).
Which statement describes the geometric construction of the product zw on the complex plane?
Stretch z by a factor of 3 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 3 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Answer:
c on edge
Step-by-step explanation:
fr
Answer:
(B) Stretch z by a factor of 3 and rotate π/6 radians counterclockwise.
Step-by-step explanation:
edge:2022 Happy new year!
For the function f(x)=ab^x, what are the possible values for b if the function is an exponential growth function? Please select two answers.
A) 1-0.00001
B) 0.9
C) square root of 2
D) 1/2
E) 1.1
Answer:
C and E
Step-by-step explanation:
the b value of an exponential function needs to be greater than one to be exponential growth
[tex] \sqrt{2} [/tex]
and 1.1 are the only 2 that are greater than one
The possible values for b are those that are greater than 1. The correct answers are square root of and 1.1, the correct options are C and E.
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, then there is exponential growth happening by r fraction or 100r %
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
We are given that;
f(x)=ab^x
Now,
An exponential growth function is a function that increases as x increases. For the function f(x) = ab^x, this means that the base b must be greater than 1, so that the exponent x makes the function larger.
Therefore, by the exponential growth and decay the answer will be square root of 2 and 1.1
Learn more about exponential growth and decay here:
https://brainly.com/question/2193820
#SPJ2
Which statement is true
Answer:
b
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
A architect made a scale drawing of a house to be built. The scale is 2 inches to 3 feet. The house in the drawing is 24 inches tall. How tall is the actual house?
Answer:
36 feet.
Step-by-step explanation:
2 goes into 24 12 times, 12 times 3 is 36 therefore the actual house is 36 feet tall.
The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (18, −6).
Answer:
(x-18)^2+(y+6)^=36
Step-by-step explanation:
circle basic equation is (x-h)^2+(y-k)^2=r^2
center is (18,-6) it is also externally tangent
so
(x-18)^2+(y+6)^2=36 answer
The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]
The center is (18,-6) it is also externally tangent;
Therefore,
[tex](x-18)^2+(y+6)^2=36[/tex]
Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]
Learn more about equation of a circle here:
https://brainly.com/question/10165274
#SPJ2
Explain how the sample proportion p-hat can be viewed as the sample mean X-bar.
Answer:
Step-by-step explanation:
we need the picture
How many solutions does this equation have
2x + 1 = 2x – 1
Simplify powers of i.
ASSIGNMENT
Simplify each of the following powers of i.
I^32
Answer:
i^15=-i
i^32=1
1^99=-i
i^22=-1
hope this helps :)
im sorry for the late answer, i put all the answers incase some one needs them, have a nice day!
Step-by-step explanation:
Answer: The answer is "1".
Step-by-step explanation:
Correct on edgen.
Help me please help
15 men can dig a ditch in 10 days, how many day
Will 10men take working at the same rate
Answer:
If 10 men dig a ditch in 12 days .
Total man-days required to dig the ditch
= 10 men × 12 days
= 120 man-days
how long would 15 men take to dig it?
No of days required to finish the job by 15 men
= 120 men-days / 15 men
= 8 days
Answer: 8 days will be required to finish the job by 15 men
Step-by-step explanation:
Hope this helps u
Crown me as brainliest:)
Factorise fully
48 + 6x
please do quick it's due In 2 min
Answer:
6(8+x)
Step-by-step explanation:
Notice that the constant and the coefficient have a greatest common factor of 6. Therefore, we can just factor the 6 out to get 6(8+x).
Answer:
6(x+8)Step-by-step explanation:
[tex]48 + 6x\\\\\mathrm{Rewrite\:}48\mathrm{\:as\:}6\times\:8\\\\=6x+6\times\:8\\\\\mathrm{Factor\:out\:common\:term\:}6\\\\=6\left(x+8\right)[/tex]
Find mo 8 5 m n o
Mo=
Answer:
MO is 13 units
Step-by-step explanation:
If point lies on a segment, then this point divides the segment into two parts, the sum of their lengths equals the length of the segment
∵ Point N ∈ segment MO
→ That means point N divide segments MO to two parts MN and NO
∴ Point N divides segment MO into two parts MN and NO
→ That mans the length of segment MO equals to the sum of
lengths of MN and NO
∴ MO = MN + NO
∵ MN = 8 units
∵ NO = 5 units
∴ MO = 8 + 5
∴ MO = 13 units
How will you write 4x + 23y into a statement
Answer:
Tom wants to go to disneyland this weekend with 23 adults including himself and 4 children Ashley 3, Leslie 1, Brit 4, Victor 2. Children under the age of 6 pay "x" amount while anyone older pay "y" amount. What equation can tom use to find out how much the tickets in total will be.
Step-by-step explanation:
Y = Adults pay y amount - There are 23 adults
X =kids under 6 pay x amount - there are 4 children
4x+23y
4 (kids under 6 ticket cost)+ 23 (Adults ticket cost)
What’s the height of the building if it 77% of 596
The large Ferris wheel makes a revolution in 60 seconds. The small Ferris wheel makes one revolution in 20 seconds. How many seconds will pass before Jeremy and Deborah are both at the bottom again?
Answer:
120 seconds
Step-by-step explanation:
60 20
120 40
180 60
80
100
120
A survey showed that 82% of kids play video games at home. What fraction of kids play video games at home?
Answer:
8.2/10
Step-by-step explanation:
Answer:
42/50
Step-by-step explanation:
* Which answer choice describes y = -3x² +7x - 2
Answer:
y = -[tex]3^{2}[/tex] + 7x - 2
Step-by-step explanation:
-9-2= -11
y = -11 +7x
+11
y+11 = 7x
/7
1.57142857143= x
Find the midpoint of the line segment joining the points R(3,3) and S(-2,6).
Answer: 2,9
(3,3) & (-2,6) midpoints
Answer:
(0.5,4.5)
Step-by-step explanation:
Use the midpoint formula to find the answer: ((x1+x2/2),(y1+y2/2))
((3-2/2),(3+6/2))
((1/2),(9/2))
(0.5,4.5)
1. How many numbers less than 10,000 are there which are divisible
by 21, 35 and 63?
Answer:
31
Step-by-step explanation:
To solve this problem, we must find the lowest common multiple of 21, 35 and 63
Find the prime factors of the number;
Prime factors of 21 = 3 x 7
35 = 3 x 5
63 = 3 x 3 x 7
The lcm = 3 x 3 x 5 x 7 = 315
The numbers between 1 and 10, 000 divided by these three numbers;
First number = 315
Last number = 9765
Now the total number:
= [tex]\frac{first number - last number }{315} + 1[/tex]
= [tex]\frac{9765 - 315}{315}[/tex] + 1
= 30 + 1
= 31