Answer: the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559
Step-by-step explanation:
Given that;
the total number of raffle ticket sold by the student is 2629
Kevin bought 41 tickets
the probability that Kevin will win the spring break cruise to the Caribbean?
The required probability will be:
Probability
=(Number of favorable outcomes for an Event) / (Total Number of outcome)
so
probability = 41 / 2629
= 0.01559
Therefore the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559
What is the area of the rectangle?
60 units2
66 units2
70 units2
74 units2
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.
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
What is the measure of CAD
Answer:
CAD = 128
Step-by-step explanation:
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
Let f(x) be defined for any positive integer x greater than 2 as the sum of all prime numbers less than x. For example, f(4)=2+3=5 and f(8)=2+3+5+7=17. What is the value of f(86)−f(82)?
(A) 3 (B) 4 (C) 47 (D) 59 (E) 83
The answer is not B pls remember this
Answer:
E
Step-by-step explanation:
RSM proves correct
The value of a given function is required.
So, the answer is (E)83.
The given function [tex]f(x)[/tex] is the sum of all prime numbers less than [tex]x[/tex].
The required function is [tex]f(86)-f(82)[/tex]
[tex]f(86)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83[/tex]
[tex]f(83)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79[/tex]
[tex]f(86)-f(83)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83-(2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79)=83[/tex]
All numbers become get subtracted except for 83.
So, the answer is (E)83.
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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.
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
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:
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:
Find the values of x and y.
(40y + 20°
8xº (2x + 30°)
(60y – 40)
9514 1404 393
Answer:
x = 5y = 3Step-by-step explanation:
Vertical angles are congruent.
8x = 2x +30
6x = 30 . . . . . . subtract 2x
x = 5 . . . . . . . . divide by 6
__
60y -40 = 40y +20
20y = 60 . . . . add 40-40y
y = 3 . . . . . . . .divide by 20
_____
Check
The 'x' angles are 8x° = 8·5° = 40°.
The 'y' angles are (40y+20)° = (40·3+20)° = 140°.
The angles are supplementary, as they are supposed to be.
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]
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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
Answer the picture please and thank you!! :))
Answer:
B. 34º
Step-by-step explanation:
So we know that a straight line is equal to 180º and we already have to measure of angle 2. So to find the angle of measure 1, we just subtract 146 from 180.
180 - 146 = 34
So the measure of angle 1 is 34º.
Now, because of alternate exterior angles, we know that they would be the same. SO m∠7 = 34º
There are 207 students in 9 classes at east middle school at this rate how many students are in 6 classes
Answer:
138 students
Step-by-step explanation:
207/9 = 23
23*6=138
Answer:
138 students
Step-by-step explanation:
10. Anna divided integer A by -3 and got 8. Then she divided 8 by integer B and got -4. Find the quotient of integer A and B. I talling 2020
Answer:
cant help uu :(
Step-by-step explanation:
Graph the line with the equation y = -x - 1.
that is what the line will look like.
This is a straight line. We only need 2 points to graph a straight line.
Let x = 0
y = -(0) - 1
y = -1
Our first point is (0,-1).
Let x = 1
y = -(1) - 1
y = -2
Our second point is (1,-2).
See attachment for graph.
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:
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]
Q(9,10) R(-5,2) S(-8,-2) T(-1,2)
Answer:
its perpendicular
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^5Need help !!ILL GIVE BRAINLEST!
Answer:
Step-by-step explanation:
Whats the question???
-2/9×-5/3
As a fraction...?
Complete the point-slope equation of the line through (-5,7)(−5,7)left parenthesis, minus, 5, comma, 7, right parenthesis and (-4,0)(−4,0)left parenthesis, minus, 4, comma, 0, right parenthesis.
Answer:
The equation of line in point-slope form is: [tex]y-7 = -7(x+5)[/tex]
Step-by-step explanation:
Given points are:
(x1,y1) = (-5,7)
(x2,y2) = (-4,0)
Point slope form of equation is given by:
[tex]y-y_1 = m(x-x_1)[/tex]
Here m is the slope
The slope is calculated using the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values we get
[tex]m = \frac{0-7}{-4+5}\\m = \frac{-7}{1}\\m = -7[/tex]
Putting in the equation we get
[tex]y-y_1 = -7(x-x_1)[/tex]
Putting (-5,7) in the equation
[tex]y - 7 = -7\{x-(-5)\}\\y-7 = -7(x+5)[/tex]
Hence,
The equation of line in point-slope form is: [tex]y-7 = -7(x+5)[/tex]
Answer:
Step-by-step explanation:
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)
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
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.
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 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.
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