Answer:
0.01, 0.2, 0.5, and 0.42
Step-by-step explanation:
this is correct
♤
Jake is 5 years older than his brother Kevin.
Kevin is k years old. Write an algebraic
expression for Jake's age.
Answer:
5+k
Step-by-step explanation:
its saying jake is 5 MORE then kevin so either add or multiply.
find the area of the triangle
Answer:
Step-by-step explanation:
You know two sides and the angle between them. Use the Law of Cosines to find the third side.
q = √(p²+r²-2pr·cosQ) ≅ 8.533 units
Use Heron's formula to find area
semi-perimeter s = (p+q+r)/2 ≅ 10.317 units
area = √(s(s-p)(s-q)(s-r)) ≅ 16.3 units²
The same survey database cited in exercise 4.3.1 (A-5) shows that 32 percent of U.S. adults indicated that they have been tested for HIV at some point in their life. Consider a simple random sample of 15 adults selected at a time. Let X be the number of adults who have been tested for HIV in the sample. For the following, find the numerical answer and describe the answer in words:
a. Three
b. Between five and nine, inclusive
c. More than five, but less than 10
d. Six or more
e. Less than five
f. Find the mean and the variance of the number of people tested for HIV in samples of size 15.
Answer:
a. P(X = 3) = 0.145736
b. P(5≤X≤9) = 0.5462
c. P(5<X<10) = 0.3332
d. P(X≥6) = 0.3393
e. P(X<5) = 0.4477
f. Mean = 4.8, Variance = 3.264
Step-by-step explanation:
Given - The same survey database cited in exercise 4.3.1 (A-5) shows
that 32 percent of U.S. adults indicated that they have been
tested for HIV at some point in their life. Consider a simple
random sample of 15 adults selected at a time. Let X be the
number of adults who have been tested for HIV in the sample.
To find - For the following, find the numerical answer and describe
the answer in words:
a. Three
b. Between five and nine, inclusive
c. More than five, but less than 10
d. Six or more
e. Less than five
f. Find the mean and the variance of the number of people
tested for HIV in samples of size 15.
Proof -
Given that , n = 15, p = 32% = 0.32
Now,
a.
P(X = 3) = binomial distribution (3, 15, 0.32, 0)
= [tex]\left(\begin{array}{ccc}15\\3\end{array}\right)(0.32)^{3}(1-0.32)^{15 - 3}[/tex]
= 455(0.032768)(0.009774)
= 0.145736
⇒P(X = 3) = 0.145736
b.
P(5≤X≤9) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)
= [tex]\left(\begin{array}{ccc}15\\5\end{array}\right)(0.32)^{5}(1-0.32)^{15 - 5}[/tex]+ [tex]\left(\begin{array}{ccc}15\\6\end{array}\right)(0.32)^{6}(1-0.32)^{15 - 6}[/tex] + [tex]\left(\begin{array}{ccc}15\\7\end{array}\right)(0.32)^{7}(1-0.32)^{15 - 7}[/tex] + [tex]\left(\begin{array}{ccc}15\\8\end{array}\right)(0.32)^{8}(1-0.32)^{15 - 8}[/tex]+ [tex]\left(\begin{array}{ccc}15\\9\end{array}\right)(0.32)^{9}(1-0.32)^{15 - 9}[/tex]
= 0.213 + 0.1671 + 0.1011 + 0.0476 + 0.0174
= 0.5462
⇒P(5≤X≤9) = 0.5462
c.
P(5<X<10) = + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)
= [tex]\left(\begin{array}{ccc}15\\6\end{array}\right)(0.32)^{6}(1-0.32)^{15 - 6}[/tex] + [tex]\left(\begin{array}{ccc}15\\7\end{array}\right)(0.32)^{7}(1-0.32)^{15 - 7}[/tex] + [tex]\left(\begin{array}{ccc}15\\8\end{array}\right)(0.32)^{8}(1-0.32)^{15 - 8}[/tex]+ [tex]\left(\begin{array}{ccc}15\\9\end{array}\right)(0.32)^{9}(1-0.32)^{15 - 9}[/tex]
= 0.1671 + 0.1011 + 0.0476 + 0.0174
= 0.3332
⇒P(5<X<10) = 0.3332
d.
P(X≥6) = 1 - P(X < 6)
= 1 - P(X ≤ 5)
= 1 - binomial(5, 15, 0.32, 1)
= 1 - 0.6607
= 0.3393
⇒P(X≥6) = 0.3393
e.
P(X<5) = P(X≤4)
= binomial (4, 15, 0.32, 1)
= 0.4477
⇒P(X<5) = 0.4477
f.
Mean = np
= 15(0.32)
= 4.8
⇒Mean = 4.8
Variance = np(1-p)
= 15(0.32)(1 - 0.32)
= 4.8(0.68)
= 3.264
⇒Variance = 3.264
Pls helppp I don’t understand also if you can can you show the works pls if you can tho
Answer:
I would help but it is just black try to repost it and i will tell you what it is
Step-by-step explanation:
write
[tex] \frac{12}{25?} [/tex]
as a decimal and as a percent
A square notepad has sides that are 14 centimeters long. What is the notepads perimeter?
Answer:
56 cm (22.4 in)
Step-by-step explanation:
14+14+14+14=56 or 14x4=56
Which of the following could result in higher living costs for the homeowner that the renter doesn't have?
a. decreased property value
b. down payment
C. maintenance
d. monthly payment
Please select the best answer from the choices provided
ΟΟΟΟ
Mark this and retum
Save and Exit
Next
Submit
Answer:
MAINTENANCE
Step-by-step explanation:
What is the value of p in the equation
8p +2 = 4p - 102
1) 1
2) -1
3) 3
4) -3
Answer:
-26
Step-by-step explanation:
sorry but from my calculations I didn't get any of the options I got -26
What are the two consecutive whole numbers that the quotient for 86/11 is between?
Answer:
7 and 8
Step-by-step explanation:
The quotient is the answer to a division problem.
86/11= 7.81818182
This number is in between 7 and 8
help me with this thank you
Answer: think it’s c 4/28
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the volume of the triangular prism.
PLEASE HELP!
Answer:
53.76 cm³
Step-by-step explanation:
1/2(4.8)(3.2)(7)=53.76
The picture is quite blurry. I think it's 4.8 at the base, but can't see for sure.
yo momma is 600 pounds she eats 300 more pounds of food and gets fatter how many more pounds does she need to get to weigh 3000 pounds
Answer:
2100
Step-by-step explanation:
L M A O
For every quarter spent, Reggie receives 75 food pebbles to feed the fish at a hatchery. Reggie has thrown 600 food pebbles into the fish pools. How many quarters did Reggie spend at the hatchery?
Answer:
8
Step-by-step explanation:
A flagpole is 4 meters tall. How many
centimeters tall is the flagpole?
Answer:
400 cm
Step-by-step explanation:
100 centimeters in a meter.
4 * 100 = 400
help plssssssssssssssssssssssssssssssssssssssssssssssssssssssss
what is the volue of j?
Answer:
23 is the answer the J is acute but it has a vary so it is even smaller than 49 so it's like subtracting 26
Answer: j=27 degrees
49+j=76 because vertical angles are always congruent. Now that we know that, we can subtract 49 from 76 which equals 27 degrees and that's your answer!
Hope this helped you!
what is 9^7 written in expanded form
Answer:
9*9*9*9*9*9*9
Step-by-step explanation:
it's basically 9 multiply by itself for 7 times
Solve.
5) Solve 2y + 12 < 42.
Show your work.
The answer is y < 15
Answer:
y<15
Step-by-step explanation:
Subtract 12 from both sides.
2y+12−12<42−12
2y<30
Step 2: Divide both sides by 2.
2y
2
<
30
2
y<15
Answer:
y<15
Graph the inequality on a grid which resembles the image. 400x + 4y < 2000
Answer:
te awnser is
Step-by-step explanation:
Olivia has 2 gallons and 3 quarts of vanilla ice cream and 1 gallon and 2 quarts of chocolate ice cream left over from a party What is the total number of gallons and quarts of ice cream that Olivia has left over?
Answer:
4 gallons 1 quart total ice cream
first you add the gallons and the quarts.
so, 2 gallons vanilla + 1 gallon chocolate is 3 gallons.
3 quarts vanilla + 2 quarts chocolate is 5 quarts.
4 of the 5 quarts are taken to make up another gallon.
so the answer is 4 gallons 1 quart total ice cream.
A group of 20 students attempting a MathematicalChallenge have an average age of 11. When their teacher is included their average age is12. What is the age of the teacher?
Answer:
32.
1st get the total age of the students
x/20 = 11
x=11x20
x =220 (total age of students)
add y ( teachers age) to the equation
(220 + y)/21=12
y= 32
Answer:
32
Step-by-step explanation:
20 * 11= 220
21 * 12= 252
252-220=32
(fractions) 3/4 + 1/5
Answer:
19/20
Step-by-step explanation:
write all numerators above the least common denominator 20
15+4/20
add the numbers
19/20
Answer: 19/20
Step-by-step explanation:
Find your common denominator
3/4
Multiply by 5
15/20
1/5
Multiply by 4
4/20 + 15/20= 19/20
Hope this helped :)
what is the value of X and Y
Answer:
x = 2.25 y =6
Step-by-step explanation:
Its a SCALE DRAWING with a factor of 3/4. Just multiply all the lengths of the first triangle by 3/4. 12 x 3/4 = 9 8 x 3/4 = 6 3 x 3/4 = 2.25
Hope this helped! If it did, please mark brainliest! It would help me out a lot! Thanks! :D
y = 2Vx+4
vertex:
domain:
range:
y-intercept:
x-intercept:
Answer:
y = 2vx+4
x= y/2v - 2/v
Domain (-infinite sign , infinite sign)
Range (-infinite sign , infinite sign)
vertex center (0,0)
vertices (2,0) , (-2,0)
Foci (6,0) , (-6,0)
Eccentricity 6/2
focal 6/3
Asymptotes : y=2x/2 , y=-x2/2
4. A square has a perimeter of 28 units, an
ared of 49 units, and sides that are either
horizontal or vertical. The vertices are all
located in the same quadrant where the x
value is negative. What are the possible
coordinates of the square?
Answer:
7
Step-by-step explanation:
perimeter - 7+7+7+7=28
area - 7×7 = 49
it's a square so all sides are the same length.
area is length times width
perimeter is all sides added together.
Point KK is located at (5,-4)(5,−4) on the coordinate plane. Point KK is reflected over the xx-axis to create point K'K
What ordered pair describes the location of K'?K
Answer:
The ordered pair that describes the location of K' is (5,4).
Step-by-step explanation:
Reflection over the x-axis:
When a point is reflected over the x-axis, it's x-coordinate stays the same, while the signal of the y-coordinate is changed. So
(x,y) -> (x,-y)
In this question:
Point K(5,-4)
Reflection over the x-axis:
(5,-4) -> (5,-(-4)) -> (5,4)
The ordered pair that describes the location of K' is (5,4).
How to get 10 with the numbers 7, 11, 4 and 2 in that order?
Answer:
Huh!! What is this question supposed to mean?
Please find the circumference, will give brainliest!
Answer:
43.96
Step-by-step explanation:
Help on question 5 please :))
Answer:
the answer is I LIKE YOUR CUT G
Step-by-step explanation:
your a bot at fortnite
Answer:
b. Substitute 8x+4 for y in the first equation.
can someone help me please
Answer:
i think its b
Step-by-step explanation:
A rectangular balcony is 10 feet long and 4 feet wide. What is its area?