Please help me on this question too! =)
Answer:
congruent angles
Step-by-step explanation:
Because congruent angles mean when two angles have the same measure.
Answer:
number 2 is the answer............
Congruent Angles
A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are normally distributed with a standard deviation of $30,000, determine the 90% confidence interval estimate of the mean annual income of all company presidents. Interpret the statistical results.
Answer:
The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
Step-by-step explanation:
The information provided is:
[tex]n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%[/tex]
The critical value of z for 90% confidence level is, 1.645.
Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)[/tex]
Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.
Point A is located on the coordinate planet (3,-6) Point B is directly across the x-axis from point A and is the same distance from the x-axis as point A
What are the coordinates of point B?
Answer:
(3,6)
Step-by-step explanation: it is a reflection across the x-axis which is positive (3,6)
-2/9×-5/3
As a fraction...?
In one 24-hour day there are 86,400 seconds. What is this number written in scientific notation?
The answer would be
8.64 x 10^4
GR has coordinates g (2, -2) and R (3,8) and it is the result of the
dilation of HM centered at the origin. The coordinates of HM (-1,1) and M (-1.5,-4). Complete the following algebraic description that it represents the transformation of HM. Please help
Answer:
(- 2x , - 2y)
Step-by-step explanation:
A(x, y) ----> A' (kx, ky)
~~~~~~~~
H(- 1 ,1) ----> [k(- 1), k(1)] ----> G(2, - 2) ⇒ k = - 2
M( - 1.5, - 4) -----> [(- 2)(- 1.5) , (- 2)(- 4)] ------> R(3. 8)
k = - 2
Thus, the rule of dilation centered in origin is (- 2x , - 2y)
Carlos is blowing air into a spherical soap bubble at the rate of 5 cm3/sec.
How fast is the radius of the bubble changing when the radius is 10 cm? (Round your answer to four decimal places.)
How fast is the surface area of the bubble changing at that time? (Round your answer to one decimal places.)
Answer:
The answer is below
Step-by-step explanation:
a) dV/dt = 5 cm³/s
The volume (V) of the bubble is:
[tex]V=\frac{4}{3} \pi r^3\\\\Differentiating\ with\ respect\ to \ time(t)\\\\\frac{d}{dt}(V)=4\pi r^2 \frac{dr}{dt} \\\\Substituting\ \frac{d}{dt}(V)=5\ cm^3/s \ and\ r = 10\ cm\\\\5 = 4\pi *10^2*\frac{dr}{dt}\\\\5=400\pi *\frac{dr}{dt}\\\\\frac{dr}{dt}=0.004\ cm/s[/tex]
b) The surface area of the sphere (A) is:
[tex]A=4\pi r^2\\\\Differentiating\ w.r.t.\ t:\\\\\frac{dA}{dt}= 8\pi r\frac{dr}{dt} \\\\r=10, dr/dt=0.004\\\\\frac{dA}{dt}= 8\pi *10*0.004\\\\\frac{dA}{dt}=1\ cm^2/s[/tex]
The rate at which the radius of the bubble is changing at that time is [tex]0.0125 \pi cm^2/s[/tex]
The rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]
The formula for calculating the volume of a sphere is expressed as;
[tex]V =\frac{4}{3} \pi r^3[/tex]
r is the radius of the sphere
Differentiating the volume with respect to time;
[tex]\frac{dV}{dt} = \frac{dV}{dr} \times \frac{dr}{dt} \\\frac{dV}{dt} = 4 \pi r^2\frac{dr}{dt}[/tex]
Given the following parameters
dV/dt = 5 cm^3/sec.
r = 10 cm
Substitute into the formula to get dr/dt
[tex]\frac{dV}{dt} = 4 \pi (10)^2 \times \frac{dr}{dt}\\5 = 400 \pi \times \frac{dr}{dt}\\ \frac{dr}{dt}=0.0125 \pi cm/s\\[/tex]
The surface area of the bubble is expressed as:
[tex]S = 4 \pi r^2\\\frac{dS}{dt} = \frac{dS}{dr}\times \frac{dr}{dt}\\ \frac{dS}{dt} =8 \pi r \times 0.0125 \pi\\ \frac{dS}{dt} =\pi ^2 cm^2/s[/tex]
Hence the rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]
Learn more here: https://brainly.com/question/12663882
Henry loves to read. He reads 90 pages in one hour. How many pages does he read in 5 hours
Answer:
450
Step-by-step explanation: 90x 5 = 450 hoped i helped
Meg laid 15 tiles in 50 minutes.
Jessica worked for 85 minutes at a faster rate per tile than Meg.
Choose all the rates that could be Jessica’s rate.
A: 20 tiles in 85 minutes
B: 24 tiles in 85 minutes
C: 28 tiles in 85 minutes
D: 1 tile in 3 minutes
E: 1 tile in 4 minutes
Answer:
I think C and E
Step-by-step explanation:
meg played at lace of 3.3333 tiles a minute so has to be over 25 tiles
The correct options are C and D.
Important information:
Meg laid 15 tiles in 50 minutes.Jessica worked for 85 minutes at a faster rate per tile than Meg.Rates:The rate per tile of Meg is:
[tex]\text{Rate}=\dfrac{\text{Time}}{\text{No. of tiles}}[/tex]
[tex]\text{Rate}=\dfrac{50}{15}[/tex]
[tex]\text{Rate}=3.333...[/tex]
Calculate the rates per tile for each option.
[tex]\frac{85}{20}=4.25[/tex]
[tex]\frac{85}{24}=3.54167...[/tex]
[tex]\frac{85}{28}=3.0357...[/tex]
[tex]\frac{3}{1}=3[/tex]
[tex]\frac{4}{1}=4[/tex]
From the above calculation is clear that the time spent per tile is less than Meg's rate in options C and D.
Therefore, the correct options are C and D.
Find out more about 'Rates' here:
https://brainly.com/question/17879320
One pound of candies costs $3.50.
How much will we have to pay for 4.5 lb?
Answer:
$15.75
Step-by-step explanation:
Multiply the cost of one pound, 3.50 times how many we want, 4.5
3.5×4.5=15.75
Answer: $15.75
Step-by-step explanation:
3.5 x 4.5 = 15.75
A sofa regularly sells for $710. The sale price is $553.80. Find the percent decrease of the sale price from the regular price.
Given:
A sofa regularly sells for $710.
The sale price is $553.80.
To find:
The percent decrease of the sale price from the regular price.
Solution:
We have,
[tex]Decrease\%=\dfrac{\text{Regular price - Sale price}}{\text{Regular price}}\times 100[/tex]
[tex]Decrease\%=\dfrac{710-553.80}{710}\times 100[/tex]
[tex]Decrease\%=\dfrac{156.2}{710}\times 100[/tex]
[tex]Decrease\%=0.22 \times 100[/tex]
[tex]Decrease\%=22\%[/tex]
Therefore, the percent decrease of the sale price from the regular price is 22%.
Solve the quadratic equation and give both solutions.
14x^2 − 29x − 15 = 0
Answer:
Step-by-step explanation:
[tex]x_{1,\:2}=\frac{-\left(-29\right)\pm \sqrt{\left(-29\right)^2-4\cdot \:14\left(-15\right)}}{2\cdot \:14}[/tex] so [tex]x=\frac{5}{2}[/tex] [tex]x=-\frac{3}{7}[/tex]
If start fraction 1 over 3 end fraction is equivalent to 33start fraction 1 over 3 end fraction%, what percent is equivalent to two-thirds? A. 33two-thirds% B. 150% C. 66two-thirds% D. 65%
Answer:
The answer is C 66%
Step-by-step explanation:
Use the critical points to determine the test regions. Which are possible test points
Answer: -6, -3, 0
Step-by-step explanation:
Because it’s right :)
Answer:
A, C, E
Step-by-step explanation:
-6, -3, 0
Question 10 of 20 :
Select the best answer for the question.
10. If five times a number plus two is 17, what is the number?
A. 2
B. 5
ООО
C.3
D. 7
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Answer:
C. 3
Step-by-step explanation:
3 x 5 = 15, 15 + 2 = 17 :)
Need help !!ILL GIVE BRAINLEST!
Answer:
Step-by-step explanation:
Whats the question???
Solve for x: 6x - 3 - 4x + 5 = 3(x - 1) *
And do check
Answer:
x>-1
Step-by-step explanation:
your welcome-
work-
Step by Step Solution:
More Icon
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
(6*x-3)-((4*x-5))>0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
2x + 2 = 2 • (x + 1)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by 2
Solve Basic Inequality :
2.2 Subtract 1 from both sides
x > -1
Inequality Plot :
2.3 Inequality plot for
2.000 X + 2.000 > 0
One solution was found :
x > -1
What is the area of the rectangle?
60 units2
66 units2
70 units2
74 units2
Select the correct answer. Leeann works 20 hours per week and makes $15 per hour. What is her yearly pay? A. $10,100 B. $12,500 C. $15,600 D. $18,200
Answer:C
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer would be C, It would be 300$ an hour and then you multiply that by the amount of weeks you get the number in C.
Rip king Von pop smoke quando rondo timmie and yea
Points and brainlest help me out on my question !!
Answer:
RIP to all those kings!!
Step-by-step explanation:
Enter the decimal equivalent of 9/12
Answer:
Hey! so its simple to find the decimal you need to divide so 12/9 is 1.33
Step-by-step explanation:
Hoped I helped please put me on brainliest oh and have a great day! ^-^
12. How much combined snowfall was there
in Milwaukee and Oklahoma City?
105.1 You simply find the amount fomr each and add them up hope this helped.
a recent survey showed that ⅖ of students have hearing problems. In a school of 450 students, how many would you expect to have hearing problems?
Step-by-step explanation:
250 i think sorry if im wrong solution it said 2/5 of students have hearing problems. so since there is 450 students and it said 2/5 that means 2/5 will be 250 hope if i could help.
what is 32 divided by 97
Answer:
0.32989690721
Step-by-step explanation:
Answer:
rounded to the nearest hundred: 0.33
Step-by-step explanation:
hope this helps :3
What is the measure of PRQ?
Answer:
the answer is 172
Step-by-step explanation:
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[tex]PRQ = \frac{PQ +TS}{2} \\ [/tex]
[tex]PRQ = \frac{102 + 70}{2} \\ [/tex]
[tex]PRQ = \frac{172}{2} \\ [/tex]
[tex]PRQ = 86°[/tex]
Thus the correct answer is (( A )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Q(9,10) R(-5,2) S(-8,-2) T(-1,2)
Answer:
its perpendicular
Step-by-step explanation:
What is the measure of CAD
Answer:
CAD = 128
Step-by-step explanation:
can someone explain step by step how to do this please. I'm lost :(
(ab)^-6 (b^2 c)^-8 / a^-8 bc^-3
Answer:
a^2/b^23c^5Step-by-step explanation:
(ab)^-6 (b^2 c)^-8 / a^-8 b c^-3 =a^-6 b^-6 b^-16 c^-8 a^8 b^-1 c^3 =a^(-6 + 8) b^(-6 - 16 - 1) c^(-8 + 3) =a^2 b^-23 c^-5 =a^2/b^23 c^5dwayne needs 1 1/4 cups of crushed oreos to put in his chocolate pudding and 2/3 cup of oreo crumbs for decoration on the top if he has 3 cups of crushed oreo in all how much will he have left
Answer:
1 1/4 cup left
Step-by-step explanation:
.75 of a third is a fourth, so that would mean that 2/3 is .50, 75% of 2/3, is 0.50, 1/4 is 0.25, so that would mean .75, which is 3/4 cups, so that would mean he needs 1 3/4 cups, so he has 1 1/4 cup left
Rasheed wants to buy two new video games that cost $28.50 each. He earns money for them by mowing lawns in his neighborhood, and his earnings are shown in the table below. Rasheed’s Earnings Week Amount Earned 1 $7.50 2 $4.85 3 $12.25 4 $9.00 5 $8.15 How much more does Rasheed need to earn before he can buy the video games? $3.85 $13.25 $15.25 $17.00
Answer:c
Step-by-step explanation:
I just toke the quiz
Answer:
c
Step-by-step explanation: