A fair, six-sided dice is thrown once.
Select the probability of a 3 showing on the dice.
Answer:
1/2
Step-by-step explanation:
The dice has 6 faces therefore the probability that three will show is 3/6 which when divided gives you 1/2
WILL MARK BRAINLIEST AND GIVE 75 POINTS!!!
Summer is thinking about buying a car for $45,000. The table below shows the projected value of two different cars for three years.
Number of years 1 2 3
Car 1 (value in dollars) 40,500 36,450 32,805
Car 2 (value in dollars) 42,000 39,000 36,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)
Part C: Summer wants to purchase a car that would have the greatest value in 13 years. Will there be any significant difference in the value of either car after 13 years? Explain your answer, and show the value of each car after 13 years. (4 points)
Answer:
A) 1: exponential; 2: linear
B) 1: f(x) = 45000·0.9^x; 2: f(x) = -3000x+45000
C) The difference is significant. 1: $11,348; 2: $6,000
Step-by-step explanation:
Part AThe values for Car 1 have a common ratio of 40500/45000 = 0.9. An exponential function is used to describe a sequence where the terms have a common ratio.
The values for Car 2 have a common difference of 42000-45000 = -3000. A linear function is used to describe a sequence where the terms have a common difference.
__
Part BAn exponential function can be written as ...
f(x) = (initial value)·(common ratio)^x
A linear function can be written as ...
f(x) = (common difference)x + (initial value)
The functions are ...
Car 1: f(x) = 45000·0.9^x
Car 2: f(x) = -3000x +45000
___
Part CThe formulas for the different car values after 13 years give ...
Car 1: f(13) = 45000·0.9^13 ≈ 11,348
Car 2: f(13) = -3000(13) +45000 = 6,000
The value of Car 1 will be almost double the value of Car 2 after 13 years. Yes the difference in value is significant.
solve for x
2/x -2 = 3/2x +3
Step-by-step explanation:
)) Fill in the missing number.
()) 70% of
=
56
Answer: x=80
Step-by-step explanation: multiplying both sides by 100 and dividing both sides by 70 then we have x=56 x 100/70 then your answer is x=80. If you're using a calculator, simply enter 56x100 divided by 70 which will give you the answerLet that be x
70% of x=567/10 × x=56x=56×10/7x=8(10)x=80The graph shows the distribution of the amount of time (in minutes) people spend watching TV shows on a popular streaming service. The distribution is approximately Normal, with a mean of 71 minutes and a standard deviation of 15 minutes.
A graph titled Streaming T V has time (minutes) on the x-axis, going from 11 to 131 in increments of 15. The highest point of the curve is at 71.
What percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service?
a- 13.5%
b- 34%
c- 47.5%
d- 95%
answer:a 13.5
Using the normal distribution, it is found that the percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service is:
a) 13.5%
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 71, hence [tex]\mu = 71[/tex]The standard deviation is of 15, hence [tex]\sigma = 15[/tex]The proportion between 41 and 56 minutes is the p-value of Z when X = 56 subtracted by the p-value of Z when X = 41, hence:
X = 56:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{56 - 71}{15}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.16
X = 41:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41 - 71}{15}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.025
0.16 - 0.025 = 0.135
0.135 x 100% = 13.5%
Hence option a is correct.
A similar problem is given at https://brainly.com/question/25769446
Plss help me! I’m so confused! Brainlist! Pls no links and deleting!
$60
Step-by-step explanation:
The unit rate can be determined by dividing $24 by 8 attendees to get
[tex]\dfrac{\$24}{8\:\text{attendees}} = \$3/\text{attendee}[/tex]
so when 20 people are attending the graduation picnic, his total cost is going to be
[tex]20\:\text{attendees}×\dfrac{\$3}{\text{attendee}} = \$60[/tex]
Need help from mathematics only ?
9514 1404 393
Answer:
8. 50 yards
9. 9%
Step-by-step explanation:
In each case, we fill in the given values in the formula, then divide both sides of the equation by the coefficient of the variable.
8)The missing formula is ...
A = LW . . . . where A is area, L is length, W is width
6000 yd² = (120 yd)W
W = (6000 yd²)/(120 yd) = 50 yd . . . the width of the field
__
9)The missing formula is ...
I = Prt . . . . where I is the interest on principal P at rate r for t years
1800 = 5000(r)(4)
r = 1800/20000 = 0.09 = 9% . . . interest rate on the investment
Rodolfo has 15 toys in a toy box, and he adds 2 new toys every month. Based on this information , which representation best shows this relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passed, x?
Answer: The image listed below. It's the only valid answer that best shows the numbers of toys Roldlfo has in his toy box, y, and the number of months that have passed, x.
Juwan went on a bike ride of 36 miles. He realized that if he had gone 15 mph faster, he would have arrived
10 hours sooner. How fast did he actually ride?
Step-by-step explanation:
Distance = (Rate)(Time) So, Time = (Distance)/(Rate)
Time at slower speed = Time at faster speed + 3
36/x = 36/(x+6) + 3
Multiply the equation by the LCD, x(x+6) to obtain:
36(x+6) = 36x + 3x(x+6)
36x + 216 = 36x + 3x2 + 18x
3x2 + 18x - 216 = 0
x2 + 6x - 72 = 0
(x + 12)(x - 6) = 0
x = -12 or x = 6
Since x can't be negative, x = 6 mph
the odds against your bet are to 3. if you bet $27 and win. how much you win
2+5(8-5)
Is it 17 or 21 cause me in my sister having a full blown argument right now
Answer:
The answer is seventeen (17)
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,380 ft Determine the flag's width and length if the length is ft greater than the width.
Answer:
Length is 50ft, width is 160ft
Step-by-step explanation:
9.
Use vertex form to write the equation of the parabola.
A. y = (x + 3)^2 - 3
B. y = 2(x - 3)^2 - 3
C. y = 2(x - 3)^2 + 3
D. y = 2(x + 3)^2 - 3
Answer:
Step-by-step explanation:
hmm
Complete the equivalent fraction.2/1= /18
Which inequality correctly compares 2/5, 1/8, and 5/7
• 1/8 < 2/5 < 5/7
• 1/8 < 5/7 < 2/5
• 2/5 < 5/7 < 1/8
• 2/5 < 1/8 < 5/7
Plz be quick I’m being timed
Answer:
second or last
Step-by-step explanation:
Answer: 1/8 < 2/5 < 5/7
Step-by-step explanation:
How to solve this question? Adding algebraic fractions
Answer:
it should be 2/12 and 9/11
Step-by-step explanation:
Pls help I will mark brainless
Answer:the answer is 1/5
Step-by-step explanation:
should I buy a new gold ring today
Answer: go for it!
Step-by-step explanation:
Can someone please help me with #14 and #15?
14.Given y=2(x - 10)+3, write an equation in point slope and slope intercept form that is:
a) Parallel and goes through (-4,1).
b) Perpendicular and goes through (-4,1).
15.Given 5x+2y=7
a.Find an equation parallel to the equation and through (0,10).
b.Find an equation perpendicular to the equation and through (0,10).
This picture is an example of what the answers should look like.
Problem 14, Part (a)
The given equation y = 2(x-10)+3 has a slope of m = 2. Anything parallel to this will also have the same slope, but a different y intercept.
Let's find the point slope form of the parallel line through (-4,1)
[tex]y-y_1 = m(x - x_1)\\\\y-1 = 2(x - (-4))\\\\y-1 = 2(x + 4)\\\\[/tex]
The point slope form is: y-1 = 2(x+4)Now solve for y to get the slope intercept form.
[tex]y-1 = 2(x + 4)\\\\y = 2(x + 4)+1\\\\y = 2x + 8+1\\\\y = 2x + 9\\\\[/tex]
The slope intercept form is: y = 2x+9============================================================
Problem 14, Part (b)
The original slope is m = 2. Apply the negative reciprocal to go from 2/1 to -1/2. The perpendicular slope is -1/2.
Using the same point (-4,1), we find that the point slope form is...
[tex]y-y_1 = m(x - x_1)\\\\y-1 = -\frac{1}{2}(x - (-4))\\\\y-1 = -\frac{1}{2}(x+4)\\\\[/tex]
The point slope form is: y-1 = (-1/2)*(x+4)Now solve for y
[tex]y-1 = -\frac{1}{2}(x+4)\\\\y = -\frac{1}{2}(x+4)+1\\\\y = -\frac{1}{2}x-2+1\\\\y = -\frac{1}{2}x-1\\\\[/tex]
The slope intercept form is: y = (-1/2)x - 1============================================================
Problem 15, Part (a)
Anything parallel to Ax+By = C will be in the form Ax+By = D. The only thing changes is the C becomes D, where [tex]C \ne D[/tex]. If C = D, then we'd be talking about the exact same line rather than two parallel lines.
We're given 5x+2y = 7. The answer is in the form 5x+2y = D. Plug in (x,y) = (0,10) to find the value of D
5x+2y = D
D = 5x+2y
D = 5(0)+2(10)
D = 20
The equation 5x+2y = D updates to 5x+2y = 20
Answer: 5x+2y = 20============================================================
Problem 15, Part (b)
If you are given Ax+By = C, then anything perpendicular to this is Bx-Ay = D. Here it's possible that C = D; however, it's likely that they'll be different.
The given equation 5x+2y = 7 is perpendicular to anything of the form 2x-5y = D. We'll plug in the given point to find D.
2x-5y = D
D = 2x-5y
D = 2(0)-5(10)
D = -50
Answer: 2x-5y = -50Testing a conjecture
What is the distance between -5 and 2?
units
So what do you think the answer would be
Answer:
the answer is 7
Step-by-step explanation:
Keshawn is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 5 miles.
Answer:
14 m actural sif 124075n
Step-by-step explanation:
how to find the circumference with a diameter?
Answer:
Multiply the diameter by pie which 3.14
Step-by-step explanation:
What do you measure the amount of water in a vase
Can anyone please help me?? Please?
Look at the given table of values and write the ordered pairs that represent the inverse of the function.
Sabrina has eight boxes of crayons, with ten crayons in each box. She uses twelve crayons. How many crayons does she
have left?
Answer:
68
Step-by-step explanation:
8 boxes. 10 per one box. 8×10=80
80-12= 68
i need help with #5
Answer:
<1 = 50
<2 = 130
Step-by-step explanation:
<1 and 130 are supplementary angles
<1 + 130 = 180
<1 =180-130
<1 = 50
130 and <2 are corresponding angles and corresponding angles are equal when the lines are parallel
<2 = 130
Step-by-step explanation:
Well first we can say measure angle 2 equals 130° because they are S.s.int.ext angles, (same side interior angles and exterior). Or also corresponding
Now with measure angle 1, it is a supplementary angle
Let 1 stand for measure angle 1
[tex]130 + m1 = 180[/tex]
Subtract 130° from both sides
[tex]m1 = 50[/tex]
Have a good day :)!pls say the answer to me
Answer:
Sohan has read more pages and Sonali was more faster
)Of the people in the theater, 5% have seen the movie before. If there are 8 people who have seen the movie before, how many people are in the theater?
Answer: 160
Step-by-step explanation: 5% of x = 8
In other words, x * 0.05 = 8. To find what x is, we need to work backwards.
x * 0.05 = 8
x = 8/0.05
x = 160
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A water bottling facility has a mean bottling rate of 33.5 thousand bottles per hour with a standard deviation of 1.92 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 26.2 thousand bottles per hour with a standard deviation of 1.42 thousand bottles. One Wednesday from noon to 1:00 p.m., the water bottling facility bottled 34.9 thousand bottles of water, and the cola bottling facility bottled 26.8 thousand bottles of cola. Which facility increased their efficiency more during that hour
Using z-scores, we have that due to the higher z-score, the water bottling facility increased their efficiency more during that hour.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean.In this problem, the facility with the higher z-score increased their efficiency more during that hour.
For the water bottling facility, we have that [tex]\mu = 33.5, \sigma = 1.92, X = 34.9[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{34.9 - 33.5}{1.92}[/tex]
[tex]Z = 0.73[/tex]
For the cola bottling facility, we have that [tex]\mu = 26.2, \sigma = 1.42, X = 26.8[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{26.8 - 26.2}{1.42}[/tex]
[tex]Z = 0.42[/tex]
Due to the higher z-score, the water bottling facility increased their efficiency more during that hour.
A similar problem is given at https://brainly.com/question/24663213
Use Pythagoras Theorem to determine which of the following shapes are rectangles. please awnser
Answer:
(a) - no, (b) - yesStep-by-step explanation:
Use equation and compare results:
d² = a² + b²(a)
10.15² = 8.1² + 6.3²103.0 ≠ 105.3, no(b)
15.31² = 14.4² + 5.2²234.4 = 234.4, yes#a
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto (10.15)^2=(8.1)^2+(6.3)^2[/tex]
[tex]\\ \sf\longmapsto 103=65.61+39.69[/tex]
[tex]\\ \sf\longmapsto 103\neq 105.3[/tex]
No
#b
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto (15.31)^2=(14.4)^2+(5.2)^2[/tex]
[tex]\\ \sf\longmapsto 234.4=207.3+27.1[/tex]
[tex]\\ \sf\longmapsto 234.4\neq 234.4[/tex]
Yes