The 3/8 chance is the probability of winning a scholarship.
The odds of winning a scholarship is 3/5
How to determine the odds?The probability is given as:
P(Win) = 3/8
The odds is calculated using:
Odds = P(Win)/[1 - P(Win)]
This gives
Odds = 3/8/[1 - 3/8]
Evaluate the difference
Odds = (3/8)/(5/8)
Evaluate the quotient
Odds = 3/5
Hence, the odds of winning a scholarship is 3/5
Read more about probability at:
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Which of the following statements is a valid polynomial identity?
Statement 1: x3 + 216 = (x − 6)(x2 + 6x + 36)
Statement 2: x3 + 216 = (x + 6)(x2 − 6x + 36)
Group of answer choices
Only statement 1 is valid.
Only statement 2 is valid.
Statement 1 and statement 2 are valid.
Statement 1 and statement 2 are invalid.
Answer:
B. Only statement 2 is valid.Step-by-step explanation:
Using identities
a³ + b³ = (a + b)(a² - ab + b²)a³ - b³ = (a - b)(a² + ab + b²)Applying to the given statements, we can see the second one is valid.
Correct choice is B
Answer:
Only statement 2 is valid
Step-by-step explanation:
Let's see how
[tex]\\ \rm\rightarrowtail x^3+216[/tex]
[tex]\\ \rm\rightarrowtail x^2+6^3[/tex]
[tex]\\ \rm\rightarrowtail (x+6)(x^2-6x+36)[/tex]
Hence verified
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundred. radius is 5 height is 5
Which set of angle measures could be the interior angles of a triangle?
Answer:
the three angles inside a triangle need to add up to 180 degrees
Step-by-step explanation:
A tennis player makes a successful first serve 51% of the time. Assume that each serve is independent of the others. If she serves 9 times, what is the probability that she gets at most 3 successful first serves in?
Angelo used a radar gun to take a sample of the speeds of cars on the road in front of his house. The results are below.
{57,53,53,71,73,57,61,58,78,64,54,69,56,58,49,56,53,52,82,62,61,60,71,75,60}
Use the results of Angelo's sample to draw the following graphs by hand:
A stem-and-leaf plot,
A histogram with 5 classes,
A box plot.
Be sure your graph is neat by using a straight edge for all lines.
Use a ruler for even spacing on the axes.
Don't forget to include a title and axis labels.
Scan or take a picture of your work. You will upload your graphs in the next question.
Answer:
Step-by-step explanation:
MIlo receives a commission of 8% on all sales. If his commission on a sale was $114.80, find the cost of the item sold.
Answer:
if we divide 114.80 by 8 we get 14.35. We do this to get the 1% of the cost.
since we now know that 14.35 is 1% we can multiply 14.35 by 100 and once we do this we get 1435
8 points
Find the measure of the arc or
angle indicated. Assume that
lines which appear tangent are
tangent. *
O 56
O 45
O 52
O 65
Answer:
C. 52Step-by-step explanation:
The angle formed by two secants is half the difference of intercepted arcs.
55 = 1/2(162 - x)162 - x = 55*2x = 162 - 110x = 52Correct choice is C
Let that be y
2(55)=162-x110=162-xx=162-110x=52°Option C
Un numero disminuido en 18 es igual a uno. Cual es el nume
Answer:
19
Step-by-step explanation:
18 + 1 = 19
a circular logo has a 72 degree sector shaded orange and a 129 degree sector shaded blue. The radius of the logo is 10 inches. What is the total area shaded orange and blue?
I don't know the answer so help
what is 22 percent of 198
Answer:
43.56
Step-by-step explanation:
22 percent of 198 can be found by converting 22 percent into decimal form which is
22% = 0.22
because a 100% = 1
Then we can multiply 0.22 by 198
0.22*198 = 43.56
So the answer is 43.56
Hope this helps! :)
Does Function A or Function B have a greater rate of change over the Interval x=2 to x-47 Justify and explain your choice. (Do you like that they can't see the point (4,?) in the graph? If not you can change the interval to x-1 to x=3)
Answer:
Function BStep-by-step explanation:
Function Ax = 2 ⇒ y = - 4x = 4 ⇒ y = 6Rate of change
(6 - (-4))/(4 - 2) = 10/2 = 5Function Bx = 2 ⇒ y = 2² + 1 = 5x = 4 ⇒ y = 2⁴ + 1 = 17Rate of change
(17 - 5)/(4 - 2) = 12/2 = 6Since 6 > 5, the function B has greater rate of change in the given interval
Answer:
Function B
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: 2 ≤ x ≤ 4
Therefore: a = 2 and b = 4
Function A
From inspection of the given table:
f(2) = -4f(4) = 6Substituting these values into the formula:
[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{6-(-4)}{2}=5[/tex]
Function B
Given function: [tex]y=2^x+1[/tex]
[tex]\implies f(2)=2^2+1=5[/tex]
[tex]\implies f(4)=2^4+1=17[/tex]
Substituting these values into the formula:
[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{17-5}{2}=6[/tex]
As 6 > 5, function B has a greater rate of change over the interval 2 ≤ x ≤ 4
Find the domain {(1,8), (5,3), (7,6), (2,2), (8,4), (3,9), (5,7)}
Answer:
domain is just all of the x values while range is all of the y values
so domian is
1,2,3,5,7,8
there are 2 5's but you only put 1
never put two of the same number for range or domain
Step-by-step explanation:
at 8 the temp in the city was -8. at noon the same day the temp was 2. what was the difference in temp between 8 and noon
-8 to 0 = 8
0 to 2 = 2
total change = 8 + 2 = 10 degrees
Messyfull people I need your help!!!!
Step-by-step explanation:
[tex] \sin(θ) = \frac{2}{5} [/tex]
We know that
[tex] { \sin ^{2} (θ) } + \cos^{2} (θ) = 1[/tex]
Using that we get
[tex] \cos^{2} (θ) = 1 - \sin^{2}( θ) = 1 - { \frac{2}{5} }^{2} [/tex]
[tex] = 1 - \frac{4}{25} [/tex]
[tex] \frac{21}{25} [/tex]
hence
[tex] \cos(θ ) = \frac{ \sqrt{21} }{5} [/tex]
Step-by-step explanation:
please mark me as brainlest
a box is filled with 18 unit cubes what is the volume
Answer:
58
Step-by-step explanation:
hope this helps
Answer:
I believe 58
Step-by-step explanation:
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Answer:
See below ↓↓
Step-by-step explanation:
1. c║d
3. a║b
5. c║d
7. a║b
2. CACP
4. AICP
6. CACP
8. SSIASP
Answer:
a) c ║ d CACP
b) a ║ b AICP
c) c ║ d CACP
d) a ║ b SSIASP
Step-by-step explanation:
CACP - Corresponding Angles Congruent postulate
When two parallel lines are cut by a transversal, the pairs of corresponding angles (in the same relative position on different intersections) are congruent.
AICP - Alternate Angles Congruent postulate
When two parallel lines are cut by a transversal, the resulting alternate interior angles (opposite sides of the transversal line) are congruent .
SSIAS - Same Side Interior Angles Supplementary theorem
When two parallel lines are cut by a transversal, the resulting pairs of consecutive interior angles formed are supplementary (sum to 180°).
a) c ║ d CACP
The tranversal is line b
b) a ║ b AICP
The tranversal is line d
c) c ║ d CACP
The tranversal is line a
d) a ║ b SSIASP
The tranversal is line c
please help, super easy 7th grade math! worth a lot of points
Answer:
57mm
Step-by-step explanation:
Length of missing side= perimeter- known lengths
= 152mm- (30+20+45)mm
= (152 - 95)mm
= 57mm
In preparation for an earnings report, a large retailer wants to estimate p= the proportion of annual sales
that occur during the month of December. A SRS of sales from last year revealed that 37 of
the randomly selected sales occurred during the month December out of 161 sales.
Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The sample size and the estimate are given by:
[tex]n = 161, \pi = \frac{37}{161} = 0.2298[/tex]
Hence:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948[/tex]
The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).
More can be learned about the z-distribution at https://brainly.com/question/25890103
PLEASE HELP ME please
Answer: 4n-7
Step-by-step explanation:
Due NOWW!!! Due right now
Answer: [tex]A=539\pi /16=105.8m^2[/tex]
Step-by-step explanation:
Think of the white circle being on top of a larger shaded circle. You were given the diameter of this larger shaded circle. And, you were also secretly given the diameter of the inner white circle. If you find the area of the white circle, and subtract it from the area of the shaded circle, you will find the area of the shaded region.
Beginning with the area of the shaded circle. The diamater is 21 meters, while the radius is 21/2 meters. Therefore, the area is:
[tex]A=\pi r^2[/tex]
[tex]A=\pi (21/2)^2[/tex]
[tex]A=441\pi /4[/tex]
Moving on to the white circle. The diameter would be 21 meters with 3.5 meters subtracted from it:
[tex]d=21-3.5=17.5=35/2[/tex]
Therefore the radius is:
[tex]r=(35/2)/2=35/4[/tex]
Which means the area would be:
[tex]A=\pi r^2[/tex]
[tex]A=\pi (35/4)^2[/tex]
[tex]A=1225\pi /16[/tex]
Therefore the shaded region is:
[tex]A=441\pi /4-1225\pi /16[/tex]
Get common denominators:
[tex]A=1764\pi /16-1225\pi /16[/tex]
[tex]A=539\pi /16[/tex]
Write the slope-intercept form of the equation of the line that passes through the point (-4,0 ), and is parallel to y=-(5/4x)+4
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -4 y_1= 0
m= +5/4 (parallel means same slope)
an equation in the point-slope form is : y +0= -5/4(x+4)
Write the solution for x +5 ≤ 8 in set notation
1. Determine the lateral and total surface area
of the square pyramid.
12 cm
12.8 cm
qom
Lateral Surface Area
Total Surface Area
The areas of the square pyramid are the amount of space on it
The lateral surface area is 307.2 square cmThe total surface area is 451.2 square cmHow to determine the lateral surface area?The given parameters are:
Base (b) = 12 cm
Slant height (l) = 12.8 cm
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * 12 * 12.8
Evaluate the product
L = 307.2
How to determine the total surface area?This is calculated using:
T = L + b^2
So, we have:
T = 307.2 + 12^2
Evaluate
T = 451.2
Hence, the total surface area is 451.2 square cm
Read more about areas at:
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Jupiter takes 4332 earth days to orbit the sun mercury orbits the sun in 88 earth days. How many complete orbits will mercury make until Jupiter completes one
Answer:
At this distance, Jupiter takes 11.8618 Earth years to complete a single orbit of the Sun. In other words, a single Jovian year lasts the equivalent of 4,332.59 Earth days.
Step-by-step explanation:
that the best i can do !!!!
Expand and simplify (x - 7)(x + 4)
Answer:
x^2 - 3x - 28
Step-by-step explanation:
(x-7)(x+4) = x^2 + 4x - 7x - 28 according to the distributive property
Which = x^2 - 3x - 28
Answer:
[tex]x^{2} -3x-28[/tex]
Step-by-step explanation:
[tex](x - 7)(x + 4)\\x(x + 4)-7(x + 4)\\x^{2} +4x-7x-28\\x^{2} -3x-28[/tex]
Another math question for you guys
Answer: 65 Degrees
Hope this helps :)
If so brainliest would mean alot thanks!
Step-by-step explanation:
35/ 65 degrees
Pretty sure it's 65
Answer: 25 degrees
Step-by-step explanation: Angle ATC equals 90 degrees 90 - 65 = 25
I am confused can somebody help me
F ( - 5 ) =
Answer:
-5f
Step-by-step explanation:
Answer:
f(- 5) = 57
Step-by-step explanation:
substitute x = - 5 into f(x) , that is
f(- 5) = 3(- 5)² + 3(- 5) - 3
= 3(25) - 15 - 3
= 75 - 18
= 57
Christian traveled 45.5 miles in 3.25 hours How many feet did Christian travel (1 mile = 5,280 feet)
Answer:
280,280
Step-by-step explanation:
i believe you just multiply 45.5 times 5280
Step-by-step explanation:
[tex]1mile = 5280feet[/tex]
[tex]45.5miles = x[/tex]
[tex] \frac{45.5}{1} \times 5280[/tex]
[tex]x = 240240feet[/tex]
A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from 2013 to 2014 and by 5.1 % from 2014 to 2015. Which expression represents a strategy for estimating the total output of wheat, in tons, in 2015?
Answer:
19.8 X 0.098 = 1.9404
increased 1.9404 from 2013 to 2014
19.8 + 1.9404= 21.7404
increasses another 5.1% for 2014 to 2015
21.7404 X 0.051 = 1.1087757
1.1087757 + 21.7404 = 22.8491757
Total output of wheat for 2015 is 1.11
Total output of wheat 22.85 rounded off
Step-by-step explanation:
1. Which statement is not true? A. Rational numbers are closed under division. B. Odd numbers are closed under multiplication. C. Prime numbers are closed under subtraction. D. Integers are closed under addition
Answer:
integers are closed under division
Step-by-step explanation:
Integers are not closed under division.Let us consider two integers i and j.
Then need not necessarily be an integer. For example, 2 and 3 are integers but is not an integer. So the first option , namely, integers are closed under division is not true.
On the other hand, the remaining three options given are correct.
