Answer:
[tex]3\ point\ word = 5[/tex]
[tex]2\ point\ word = 15[/tex]
[tex]1\ point\ word = 10[/tex]
Step-by-step explanation:
Given
Represent
3-point word with T;
2-point with U and
1-point with V
[tex]U = 5 + V[/tex] --- (1)
If total questions is 30, then
[tex]T + U + V = 30[/tex] --- (2)
If total points is 55, then
[tex]3T + 2U + V = 55[/tex] --- (3)
Substitute 5 + V for U in (2) and (3)
[tex]T + U + V = 30[/tex] --- (2)
[tex]T + 5 + V + V = 30[/tex]
[tex]T + 5 + 2V = 30[/tex]
[tex]T + 2V = 25[/tex] ---- (4)
[tex]3T + 2U + V = 55[/tex] --- (3)
[tex]3T + 2(5 + V) + V = 55[/tex]
[tex]3T + 10 + 2V + V = 55[/tex]
[tex]3T + 10 + 3V = 55[/tex]
[tex]3T + 3V = 55 - 10[/tex]
[tex]3T + 3V = 45[/tex]
Divide through by 3
[tex]T + V = 15[/tex] ---- (5)
Subtract (5) from (4)
[tex](T + 2V = 25 )- (T + V = 15)[/tex]
[tex]T - T + 2V - V = 25 - 15[/tex]
[tex]V = 10[/tex]
Recall that:
[tex]U = 5 + V[/tex]
[tex]U = 5 + 10[/tex]
[tex]U = 15[/tex]
Substitute 10 for V in (5)
[tex]T + V = 15[/tex]
[tex]T + 10 = 15[/tex]
[tex]T = 5[/tex]
At the beginning of a study of individuals, 10% were classified as heavy smokers, 20% were classified as light smokers, and 70% were classified as nonsmokers. In the five-year study, it was determined that the death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively. A randomly selected participant died over the five-year period: calculate the probability that the participant was a nonsmoker.
Answer: 0.39
Step-by-step explanation:
Given the following classification :
Heavy smokers (H) = 10%
Light smokers (L) = 20%
Non smokers (N) = 70%
Given that :
The death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively
Let probability of death = D
P(D | N) = d
P(D | H) = 5d
P(D | L) = 3d
Hence,
P(D) = [P(H) * P(D | H) + P(L) * P(D | L) + P(N) * P(D | N)]
P(D) = [0.1 * 5d + 0.2 * 3d + 0.7 * d]
P(D) = [0.5d + 0.6d + 0.7d]
P(D) = 1.8d
A randomly selected participant died over the five-year period: calculate the probability that the participant was a nonsmoker.
P(N | D) = [P(N) * P(D | N)] / P(D)
P(N | D) = 0.7d / 1.8d
P(N | D) = 0.3888
= 0.39
Find the coordinates of the point 3/10 of the way from A to B.
Answer:
[tex] (\frac{3}{13}, -3) [/tex]
Step-by-step explanation:
Apply the formula following formula to find the coordinate pair of the point that is 3/10 of the way from A(-3, -6) to B(11, 7):
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(-3, -6) = (x_1, y_1) [/tex]
[tex] B(11, 7) = (x_2, y_2) [/tex]
[tex] m = 3, n = 10 [/tex]
Finding the x coordinate:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{3(11) + 10(-3)}{3 + 10} [/tex]
[tex] x = \frac{33 - 30}{13} [/tex]
[tex] x = \frac{3}{13} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{3(7) + 10(-6)}{3 + 10} [/tex]
[tex] y = \frac{21 - 60}{13} [/tex]
[tex] y = \frac{-39}{13} [/tex]
[tex] y = -3 [/tex]
The coordinates of the point 3/10 of the way from A to B are [tex] (\frac{3}{13}, -3) [/tex]
the powers of the variable in the algebraic expression should be
Answer:
a5 means that ia is variable and 5 is the power of variable a.This also ,eans variable(a)is multiplied fivr times by itself.And algebraic number'x'has 1 as irs power.or we can say that x1=x.This meansthat when a variable has 2 as its power,its poweris ignored and o ly variable in written as such.
What is the square root of -1
Answer:
i
I hope this helps!
Answer:
[tex] { - 1}^{ \frac{1}{2} } .[/tex]
Step-by-step explanation:
[tex] \sqrt{ - 1} \: \: = - 1 ^{ \frac{1}{2} } = {( - 1 \times 1)}^{ \frac{1}{2} } \\ since \: - 1 \times 1 = - 1 \\ the \: ans \: is : \\ { - 1}^{ \frac{1}{2} } .[/tex]
♨Rage♨
Find the area of a triangle with a base of 27 ft and a height of 14 ft. 41 ft2 82 ft2 189 ft2 378 ft2
Answer:
The answer is 189 ft²Step-by-step explanation:
The area of a triangle can be found by using the formula
[tex]A = \frac{1}{2} \times bh[/tex]
where
b is the base
h is the height
From the question
b = 27 ft
h = 14 ft
Substitute the values into the above formula and solve
That's
[tex]A = \frac{1}{2} \times 27 \times 14 \\ = \frac{1}{2} \times 378 [/tex]
We have the final answer as
189 ft²Hope this helps you
Answer:
189ft²
Step-by-step explanation:
Triangle
Solve for area
A=189ft²
b Base
27
ft
hb Height
14
ft
Find the equation of the line with slope -2 which goes through the point (-6,-9).
The equation of the line with slope -2 which goes through the point (-6,-9) is y=-2x-21.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, the line with slope -2 which goes through the point (-6,-9).
Substitute m=-2 and (x, y)=(-6,-9) in y=mx+c, we get
-9=-2×(-6)+c
-9=12+c
c=-21
Substitute m=-2 and c=-21 in y=mx+c, we get
y=-2x-21
Therefore, the equation of the line with slope -2 which goes through the point (-6,-9) is y=-2x-21.
To learn more about the the equation of a line visit:
https://brainly.com/question/2564656.
#SPJ2
help find equivalent equation please
Answer:
the first one
Step-by-step explanation:
Answer:
3x²+7x-8
Step-by-step explanation:
(7x²+5x-5) - (4x²-2x+3)7x²+5x-5-4x²+2x-33x²+7x-8Question 7 of 12. Step 1 of 1
4/12
Correct
2
Incorr
Kara has five exam scores of 85, 75, 86, 69, and 68 in her biology class. What score does she need on the final exam to have a mean grade of 80? Round your answer
to two decimal places, if necessary. (All exams have a maximum of 100 points.)
Answer
How to enter your answer
І кеурас
Keyboard Shortcu
Answer:
97
Step-by-step explanation:
Sorry for messy working out
If n = 4, all of the following expressions are equivalent except _____.
16
n -2
1/16
1/n^2
Answer:
16
Step-by-step explanation:
Answer:
The answer is 16.
Step-by-step explanation:
15 For a hot air balloon ride, the function H(t) gives
the height of the balloon after t minutes. Its graph
is shown alongside.
a Find H(30), and explain what your answer
means.
b Find the values of t such that Il(t) = 600.
Interpret your answer.
€ For what values of I was the height of the
balloon recorded?
d What range of heights was recorded for the
balloon?
Solve the equation k+10=27 k=
Steps to solve:
k + 10 = 27
~Subtract 10 to both sides
k = 17
Best of Luck!
The area of a rectangle that has a length of 10 and a width of w.
Answer:
B
Step-by-step explanation:
To find the area, multiply length by width (lw, or l×w). If the length is 10, that just leaves the width, which is unknown. We can substitute 10 for l, which leaves us with 10w.
The area of a square garden is 81 How long is each side of the garden?
Copy the axes below onto your paper. Add an appropriate scale and then place and label a point on the graph for each of the
products listed below.
Hotdogs
a. Dog-Eat-Dog has a supreme hotdog that weighs 80 grams and has 40 grams of fat MOT DOGS
b. Hot Doggies has a diet hotdog that weighs 50 grams and has only 9 grams of fat.
100
Fat (8)
50
c. Dog-alicious has a cheap hotdog that weighs 40 grams and has 30 grams of fat.
0
SO 100
Weight (8)
3
Alex and leanardo went to the movies a drink cost $4.00 each and a bag of popcorn cost $ 5.00 each how many would they spend of they bouth 2 drinks and 2 Bags of popcorn
If Alex and Leonardo are both buying two bags of popcorn and drinks then the overall price would be $18.00.
$4.00 + $4.00 = $8.00 + $5.00 + $5.00 = $18.00
Therefore, they would spend 18 dollars.
Hope this helps ! <3
I need the answer Pleaseee
Answer:
10 %+-5
Step-by-step explanation:
I don't really know
Please to these click on the paper clip. No fake stuff please
PLEASE PLEASE HELP
please help Math Question!
Answer: The answer is D
Answer:
D
Step-by-step explanation:
4 ÷ x+3.
4 + x(a number) + 3
4/x+3
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5)
Answer:
y=3 x=1 hope this helps :)
Step-by-step explanation:
How do you do surface area
Heres the formula i hope this helps... SA=2lw+2lh+2hw
Answer:
length + width + height
Step-by-step explanation:
For example, for a 3D shape you will have to add all of the sides to get the surface area.
What is 76.58 × 1.92
Answer:
147.0336
Step-by-step explanation:
Which is greater 4P3 or 4C3
Answer:
4P3
Step-by-step explanation:
Answer:
4P3 is greater
Step-by-step explanation:
Find the GCF of 12 and 40
what's the probability of pulling two red cards in a row from a deck of cards?
Hey there! I'm happy to help!
Let's say that we don't have jokers. In that case, there are 52 cards, and half of them are red (so 26 are red). The probability of pulling a red card once is 1/2 since half the cards are red.
If we pick one out, there are only 51 total cards left and 25 red cards. So, the probability of picking one again would be 25/51.
We multiply the probabilities of these two events to find the probability of them both happening.
1/2×25/51=25/102
The probability of picking two red cards in a row is 25/102 or around 24.5%.
Have a wonderful day! :D
When multiplying 0.9 X 4 you must turn the 4 into a 4.0 and then line up the decimal points
3.6 is the answer to the question
What is formed when polyatomic ions bond with other ions? ionic compounds neutral compounds ionic elements neutral elements
Answer:
iconic compounds
Step-by-step explanation:
Ionic components are formed up of ions, which are charged particles formed whenever an atom (or group of atoms) acquires or loses electrons.
Polyatomic ions were covalently bonded groupings of atoms. It has a positive or negative charge as little more than a result of an ionic bond with the other ion. Polyatomic positive ions are formed from certain ion combinations, however, the polyatomic ion acts as just a single unit.Therefore, the final answer is "ionic compounds".
Learn more:
brainly.com/question/4191889
express sin110 as ratio of acute angle
Answer:
sin70°
Step-by-step explanation:
Given sin110° where 110° is an obtuse angle in the second quadrant.
The related acute angle in the first quadrant is 180° - 110° = 70°
Thus
sin110° = sin70°
Find the area of the given region using any method.
The best method would certainly be integration :)
The area is given by the integral,
[tex]\displaystyle\int_0^2\frac{\mathrm dx}{9-x^2}[/tex]
We can split up the integrand into partial fractions:
[tex]\dfrac1{9-x^2}=\dfrac16\left(\dfrac1{3-x}+\dfrac1{3+x}\right)[/tex]
Then the area is
[tex]\displaystyle\frac16\int_0^2\left(\frac1{3-x}+\frac1{3+x}\right)\,\mathrm dx[/tex]
[tex]=\dfrac16(-\ln|3-x|+\ln|3+x|)\bigg|_0^2[/tex]
[tex]=\dfrac16\left((\ln5-\ln1)-(\ln3-\ln3)\right)=\boxed{\dfrac{\ln5}6}[/tex]
Which of the following is a source of income?
A. House purchase
B. Investment
C. FICA
D. Timeshare
Apex answer is:
B Investment
