Complete the table of inputs and outputs for the given function. g(x) = 3 - 8x g() 0 -5 3 Reset
Answers
Answer:
Step-by-step explanation:
Related Questions
b. If you take one spin, what is your expected value?
Answers
Answer:
3/7
Step-by-step explanation:
Expected Value:
3(1/7) + 1(2/7) + 0(2/7) - 1(2/7) = 3/7
Expected value when we take one spin = 3/7
What is the expected value?It is the sum of values multiplied by their respective probabilities.
How do we calculate the expected value after one spin?We have 2 red, 2 purple, 2 yellow, and 1 blue sector.
Total number of Sectors = 7
∴Probability of landing on red sector = 2/7
∴Probability of landing on purple sector = 2/7
∴Probability of landing on yellow sector = 2/7
∴Probability of landing on blue sector = 1/7
Points on blue sector = 3, on yellow sector = 1, on purple sector = 0, and on red sector = -1.
X 3 1 0 -1
P(X) 1/7 2/7 2/7 2/7
Expected Value = ∑X.P(X)
=3.(1/7) + 1(2/7) + 0(2/7) - 1(2/7)
= 3/7
Learn more about Expected Values on
https://brainly.com/question/15858152
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A cylinder with a radius of 3 cm and height h cm. If the volume is 75cm³ what is the value of h?
Answers
Answer:
h≈2.65cm
r Radius
3
cm
V Volume
75
cm³
Using the formula
V=πr2h
Solving forh
h=V
πr2=75
π·32≈2.65258cm
hope it's help ful
Let m Z1=(3x)º, m 22=(5x-7)", m 23=(4x+15), and m ZAFD=128º. Find m44 and m ZBFD.
Answers
Answer:
m<4 = 52°
m<BFD = 98°
Step-by-step explanation:
m<1 = (3x)°
m<2 = (5x - 7)°
m<3 = (4x + 15)°
m<AFD = 128°
✔️Find m<4:
m<4 = 180° - m<AFD (angles on a straight line)
Substitute
m<4 = 180° - 128°
m<4 = 52°
✔️m<BFD = m<2 + m<3
Substitute
m<BFD = (5x - 7)° + (4x + 15)°
We need to find the value of x.
Create an equation to find x.
m<1 + m<2 + m<3 = m<AFD (angle addition postulate)
Substitute
3x + 5x - 7 + 4x + 15 = 128°
Add like terms and solve for x
12x + 8 = 128
12x + 8 - 8 = 128 - 8
12x = 120
12x/12 = 120/12
x = 10
m<BFD = (5x - 7)° + (4x + 15)°
Plug in the value of x
m<BFD = 5(10) - 7 + 4(10) + 15
m<BFD = 50 - 7 + 40 + 15
m<BFD = 98°
Instant Dinner comes in packages with weights that are normally distributed, with a standard deviation of 0.5 oz. If 2.3% of the dinners weigh more than 13.2 oz, what is the mean weight?
Answers
Answer:
12.2
Step-by-step explanation:
2.3%= 0.023
So that is the probability that it will be over 13.2 oz, or .977 is the prob that it will be below 13.2
z-score = (real score - mean)/standard deviation
I found .977 at a z-score of 2.00
so 2.00 = (13.2-m)/0.5
=> m=12.2
the fraction 6/10 is equivalent to which of the following? 12/24 or 24/40 or 3/6 or 16/20
Answers
Answer:
24/40
Step-by-step explanation:
You can multiply both the numerator and denominator by any number
Option #3: Lets multiply by 1/2 since when you multiply 6*1/2 it equals 3 and that is the same numerator as option #3 and so now let's do the same again to the denominator 10*1/2 equals 5 and that is NOT equal to 6 in the denominator for option #3 and you can't get 3 any other way than multiplying by 1/2 (same as *.5) and so it is wrong.
Now since we know how to do it I'll just do the math for the rest.
Option 1:
6/10
6*2/10*2
12/20 and that doesn't match so it's wrong.
Option 2:
6/10
6*4/10*4
=
24/40
It matches so it's correct let's try option 4 just to check.
Option 4:
6/10
6*2/10*2
12/20
that doesn't match so it's wrong (you could have tried multiplying by decimals by I doubt you are there to that kind of math yet.)
Answer: 24/40
The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university.
No. of absences 0 1 2 3 4 5 6 7 8 9
Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2
a) Which variable is the explanatory variable?
b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form).
c) Compute the correlation coefficient
d) Does a linear relation exist between the number of absences and the final grade? Justify your answer.
e) Write out the least-squares regression line equation.
f) Compute and draw the residual (on your scatter plot) for a student who misses 5 class meetings.
g) Explain the slope in context.
h) Is the y-intercept meaningful in this situation? Explain.
i) Compute and interpret the coefficient of determination.
j) Construct a residual plot to verify the requirements of the least-squares regression model.
Answers
A landscaper buys 1 gallon of plant fertilizer. He uses 1/5 of the fertilizer, and then divides the rest into 3 smaller bottles. How much does he put in each bottle?
Answers
Answer:
4/15 gallon per bottle
Step-by-step explanation:
First, we find the remaining fraction of fertilizer after using 1/5. Using our fraction calculator, we see:
1 - 1/5 = 4/5
To find the amount of fertilizer per bottle, we then divide 4/5 by 3 and we get:
4/15 gallon per bottle
i need help plz help me
Answers
Answer:
a+2b
Step-by-step explanation:
2(a+2b)-a-2b
2a+4b-a-2b
=a+2b
Answer:
Step-by-step explana:2 ( a+ 2b) - a- 2b
=2a + 4b - a - 2b= a + 2b
Use the following formula for compound interest. If P dollars is invested at an annual interest rate r (expressed as a decimal) compounded n times yearly, the amount A after t years is given by
A= P(1+ r/n)^nt
Required:
What rate of interest is required so that $1000 will yield $1900 after 5 years if the interest rate is compounded monthly?
Answers
Answer:
12.906%/year
Step-by-step explanation:
Given data
Principal= $1000
Final Amount= $1900
Time= 5 years
The compound interest formula is given as
A= P(1+ r/n)^nt
Solving for rate r as a decimal
r = n[(A/P)1/nt - 1]
r = 12 × [(1,900.00/1,000.00)1/(12)(5) - 1]
r = 0.12906
Then convert r to R as a percentage
R = r * 100
R = 0.12906 * 100
R = 12.906%/year
Question 20
A transformer has 500 turns in its primary coil and 200 in the secondary coil.
a) If an AC voltage of 220 V and frequency 50 Hz is established in the primary coil, find the voltage
and the frequency induced in the secondary coil. (2)
Answers
9514 1404 393
Answer:
88 V50 HzStep-by-step explanation:
The secondary voltage is proportional to the primary voltage. The constant of proportionality is the ratio of secondary turns to primary turns.
The secondary voltage is ...
(200/500)(220 V) = 88 V
__
A transformer does not change the frequency.* The voltage in the secondary coil is still 50 Hz.
_____
* Most transformers are designed to operate as linear devices. It is possible to design a transformer (with special core material) that operates non-linearly, and/or that is "tuned" to a frequency other than the one exciting the primary. That is, the secondary voltage may be some harmonic of the primary voltage. This would be a relatively unusual application of a transformer, beyond the apparent scope of the question here.
3
5
6) through: (-3, -3), perp. to y=-**-4
5
A) y = 2x + B) y=--x+ 2
*
3
C) y=-x+2 D) y=-x+ 2
5
3
Answers
Step-by-step explanation:
answer in the image above
Which point represents the value of -(-2) on the number line?
Answers
Answer:
2
Step-by-step explanation:
-(-2)
negative x negative always give positive .
=>2
You can easily represent 2 on number line
Christen returned an overdue book to the library. Her fine was the same as the amount on the following day. Out of the fines shown below, which one would be closest to the number of days overdue?
Answers
Answer: 21 days overdue
Explanation: Since her fine was same as the amount on the following day. 21 will be closest to the number of day overdue so it is 21 days.
Answer:
22
Explanation:
They are saying that it has to be the closest number to the number of days overdue, cannot be neither 10 nor 14, and it cannot be 18 because that's one day from the days it's been overdue, and the question is saying: Her fine was the same as the amount on the following day. The graph shows us that it is about 1 more day than 18, so the only reasonable answer here is 22.
Also, I got it correct on edg =)
The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 72 cm, what is the
length of the diagonal?
The length of the diagonal is
cm.
Give your answer to 2 decimal places.
Answers
Answer:
Step-by-step explanation:
W=2L-2
A=72
LW=72
L(2L-2) = 72
2L^2 -2L= 72
2L^2 -2L-72=0
L^2 - L -36 = 0
L= -5.52 or 6.52(neg # not a solution)
W=11.04
L=6.52
DIAG = [tex]\sqrt{11.04^2+6.52^2}[/tex] = 12.82
~~~~~~~~~~~~~~
A,B and C are the vertices of a triangle,
A has coordinates (4,6)
B has coordinates (2,-2)
C has coordinates (-2,-4)
D is the midpoint of AB.
E is the midpoint of AC.
prove that DE is parallel to BC.
Answers
Answer:
SSS (side, side, side)
hope it helps:))!!!
Question
At a certain university, intramural volleyball is chosen as an activity by 50% of the student population. How likely is it that a
randomly chosen student will or will not participate in intramural volleyball?
Answers
Answer:
50%
Step-by-step explanation:
50% of the student population chooses instramural volleyball, meaning 50% doesn't. So if a random student is chosen, then it is a 50% chance that they will choose volleyball and 50% chance they won't.
If f(x) = x2 – 2x, find:
f(-3) = [?]
Answers
9514 1404 393
Answer:
15
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
f(-3) = (-3)² -2(-3) = 9 +6
f(-3) = 15
15
Step-by-step explanation:
f(-3)=(-3)^2 - 2(-3)
= 9 + 6 = 15
Create a tree diagram that shows all the possible outcomes for tossing a coin and spinning a spinner with six equal sections numbered 1 through 6.
Answers
Step-by-step explanation:
We can use a tree diagram to help list all the possible outcomes.
probability tree coin dice
From the diagram, n(S) = 12
This may help you....
plzzz mark me as brainlist....
GIVING OUT BRAINLIEST HELP PLEASE ❤️
Answers
Answer:
C
Step-by-step explanation:
how many solutions does this system have?
Answers
Answer:
B. One
Step-by-step explanation:
Multiply the first equation by 2 and then add both equations to get rid of [tex]x[/tex]:
[tex]\begin{cases}2x+8y=18,\\-2x+y=0\end{cases}[/tex]
Adding both equations:
[tex]8x+y=18,\\9y=18,\\y=2[/tex]
Substituting [tex]y=2[/tex]:
[tex]-2x+2=0,\\-2x-2,\\x=1[/tex]
Therefore the only solution to the system of equations is (1, 2) and the system has one solution.
Find the selling price of a $32 item after a 50% markup.
The selling price is $
Answers
Answer:
The seelijg price is $48.
Step-by-step explanation:
Markup is the amount a store adds to its cost of an item to come up with the selling price.
store cost + markup = selling price
If the markup on an item is 50%, then the store adds 50% of its cost to its cost to arrive at the selling price.
$32 + 50% of $32 =
= $32 + 0.5 * $32
= $32 + $16
= $48
Answer:
50% of 32 is 16 so it it 16$
2hr 57min+3hrs42min
Answers
Answer:
6 hrs 33 minutes
Step-by-step explanation:
2hr 57min
+3hrs42min
----------------------
5 hrs 99 minutes
But 1 hr = 60 minutes so subtract 60 minutes and add 1 hour
6 hrs 33 minutes
Answer:
6hr 39 min
Step-by-step explanation:
Add both
2hr 57 min
+ 3hr 42 min
5hr 99 min
we know that 1 hr = 60 min
then , 99 min = 1hr 39 min
so, 5hr + 1hr 39min
= 6hr 39 min
In the following distribution, P(X<2) = 0.35, and expected value is 1.9
X 0 1 2 3 4
P(X) 0.10 A 0.35 B C
Required:
a. Use the fact that P(X< 2) = 0.35 to find the value of A.
b. Determine the value of B.
c. Determine the value of C.
Answers
Solution :
We have :
X 0 1 2 3 4
P(X) 0.10 A 0.35 B C
a). P(X < 2) = 0.35
P(X < 2) = P(X = 0) + P(X = 1) = 0.35
⇒ 0.10 + A = 0.35
⇒ A = 0.25
So the value of A is 0.25
b). The total probability = 1
So ,
0.10 + A + 0.35 + B + C = 1
0.10 + 0.25 + 0.35 + B + C = 1
B + C = 1 - 0.70
B + C = 0.30 ......(i)
We have the expected value = 1.9
So, [tex]$\sum X P(X) = 19$[/tex] for x = 0, 1, 2, 3, 4
⇒ (0 x 0.10) + (1 x 0.25) + (2 x 0.35) + (3 x B) + (4 x C) = 1.9
⇒ 0 + 0.25 + 0.70 + 3B + 4C = 1.9
⇒ 3B + 4C = 1.9 - 0.95
⇒ 3B + 4C = 0.95 ...................(ii)
From (i), we take the value of B = 0.30 - C and substitute it in the equation (i), we get,
⇒ 3( 0.30 - C) + 4C = 0.95
⇒ 0.90 - 3C + 4C = 0.95
⇒ C = 0.95 - 0.90
= 0.05
Now substituting the value of C = 0.05 in (ii), we get,
⇒ B = 0.05 = 0.30
⇒ B = 0.25
c). The value of C is 0.05
4 pillows and 5 quilts cost £53, 6 pillows and 5 quilts cost £57, find the cost of one each
Answers
Answer:
p=2
q=9
Step-by-step explanation:
4p+5q=53
6p+5q =57
4x+5y=53
6x+5y=57
Subtract
4x+5y-6x-5y=53-57
-2x=-4
x=2
Put value of x in any equation
4*2+5y=53
8+5y=53
5y=53-8
5y=45
Y=9
Cost of each pillow is 2 and cost of each quilt is 9
Find the mean birth weight of these 29 babies
Answers
Answer:
The mean is 6.14
Step-by-step explanation:
Given
See attachment
Required
The mean
Mean is calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{5 * 4 + 10 * 6 + 14 * 7}{29}[/tex]
[tex]\bar x = \frac{178}{29}[/tex]
[tex]\bar x = 6.14[/tex]
What equation is always true?
Answers
Answer: 4)
Step-by-step explanation: angles 2 and 3 equal 7 because they are both missing angle 4 to make it either 180 degrees or 360 degrees respectively.
Solve the system by graphing. Write the solution as an ordered pair.
y = 13x + 2
y = –x – 2
PLEASE HELP!!!!!
Answers
Answer:
the answer to the question is - 2 over 7 and - 12 over 7
You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 66 different TVs, 1212 types of surround sound systems, and 1818 types of DVD players. How many different home theater systems can you build
Answers
Answer:
You can build 1296 different home theater systems.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
There are:
6 different TVs
12 types of surround sound systems.
18 types of DVD players.
How many different home theater systems can you build?
The components are independent, so, by the fundamental counting principle:
6*12*18 = 1296
You can build 1296 different home theater systems.
A swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.)
Answers
Answer:
[tex]V=6912ft^3[/tex]
Step-by-step explanation:
From the question we are told that:
Diameter [tex]D=40ft[/tex]
Radius [tex]r=d/2=>20ft[/tex]
Depth at south [tex]d_s=3ft[/tex]
Depth at north [tex]d_n=8ft[/tex]
Average depth of the pool
[tex]d_a=\frac{3+8}{2}[/tex]
[tex]d_a=5.5ft[/tex]
Generally the equation for Volume is mathematically given by
[tex]V=\pi r^2h[/tex]
[tex]V=3.142*(20)^25.5[/tex]
[tex]V=6912ft^3[/tex]
Ava was traveling in her car at 38 miles per hour (miles/h). Use the fact that 1 km is approximately equal to 0.6214 miles to convert this speed to kilometers per hour (km/h).
Answers
Answer:
Step-by-step explanation:
o.6214 miles= 1km
1 mile=1/0.6214 =(10000)/6214 km
38 miles=(10000)/6214 ×38 ≈61.1 km/hr
