Given:
Felix's total credit card balance is described by the following function
[tex]f(p)=p(1.30)[/tex]
To find:
The total bill plus interest if Felix owes 2500.
Solution:
We have,
[tex]f(p)=p(1.30)[/tex]
Where [tex]p[/tex] is the amount Felix owes.
Putting [tex]p=2500[/tex] in the given function, we get
[tex]f(2500)=2500(1.30)[/tex]
[tex]f(2500)=3250[/tex]
Therefore, the total bill plus interest is 3250.
An incomplete sentence is given. “The value of 2 x 1014 is times the value of 4 x 106" What number correctly completes the sentence?
Answer:
0.00000002
Step-by-step explanation:
Let the unknown number be x.
Translating the word problem into an algebraic expression, we have;
2 * 10¹⁴ * x = 4 * 10⁶
To find the value of x;
x = 4 * 10⁶/2 * 10¹⁴
x = 2 * 10^{-8}
Therefore, the value of 2 x 10¹⁴ is 0.00000002 times the value of 4 x 10⁶
One bar of candy A and two bars of candy B have 777 calories. Two bars of candy A and one bar of candy B contain 783 calories. Find the caloric content of each candy bar.
Answer:
A has 263 calories
B has 257 calories
Step-by-step explanation:
system of equations:
a + 2b = 777
2a + b = 783
I multiplied the first equation by -2 to eliminate the 'a' terms
-2a - 4b = -1554
+ 2a + b = 783
-3b = -771
b = 257
solve for 'a'
a + 2(257) = 777
a + 514 = 777
a = 263
Help pleaseee is for now
Answer: it’s none. Because: all of them don’t fit in perfectly.
I REALLLY NEED HELP, PLZ PLZ WILL MARK BRAINEST ANS 10 POINTS
A coach is assessing the correlation between the number of hours spent practicing and the average number of points scored in a game. The table shows the data:
Number of hours spent practicing
(x) 0 0.5 1 1.5 2 2.5 3 3.5 4
Score in the game
(y) 5 8 11 14 17 20 23 26 29
Part A: Is there any correlation between the number of hours spent practicing and the score in the game? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate? (3 points)
Answer:
Part A:
Is there any correlation between the number of hours spent practicing and the score in the game? Justify your answer.
Yes, there appears to be a positive correlation between the number of hours spent practicing and the score in the game as seen in the scatter diagram. The pattern formed is a straight line that rises as one moves from 0 along the x axis.
Part B:
Write a function that best fits the data. (3 points)
y = 5 + 6x
Score in the game = 5 + 6*(Number of hours spent practicing)
Part C:
What does the slope and y-intercept of the plot indicate? (3 points)
slope = 6
When the number of hours spent practicing increases by by 1 hour, the score in a game is predicted to increase by an average of 6.
y-intercept = 5
Score in a game is predicted to be 5 when the Number of hours spent practicing is equal to 0.
Step-by-step explanation:
just to let people know who do FLVS reword this because they will give you an F
50 points for good answer plz plz plz
Answer:
true
Step-by-step explanation:
have a good day sorry if i am wrong
can i please have a brainlliest
(2+5x)9= combine like terms
Answer:
18+45x
Step-by-step explanation:
need some help with this problem on ixl
Answer:
I believe its 9 pieces.
Step-by-step explanation:
passerby took 1/3 vanilla and 2/3 coconut. 27/3=9
The authors of a certain paper describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece. Fifty taxi drivers drove in a driving simulator where they were following a lead car. The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.70 meters and the sample standard deviation was 1.17 meters.
a. Construct and interpret a 95% confidence interval for m, the population mean following distance while talking on a mobile phone for the population of taxi drivers.
b. What assumption must be made to generalize this confidence interval to the population of all taxi drivers in Greece?
a. The population of taxi drivers in Greece falls between 3.3766 meters and 4.0234 meters.
b. The assumption is that the sample of 50 taxi drivers is representative of the population.
a.
To construct a 95% confidence interval for the population mean following distance while talking on a mobile phone, we can use the formula:
Confidence Interval = sample mean ± (critical value × standard error)
The standard error:
Standard Error = sample standard deviation / √(sample size)
Standard Error = 1.17 / √(50)
Standard Error = 0.165
Since the sample size is large (n > 30), we can use the Z-table to find the critical value.
For a 95% confidence level, the critical value is approximately 1.96.
Now we can construct the confidence interval:
Confidence Interval = 3.70 ± (1.96 × 0.165)
Confidence Interval = 3.70 ± 0.3234
Confidence Interval = (3.3766, 4.0234)
Interpretation: We are 95% confident that the true population means following distance while talking on a mobile phone for the population of taxi drivers in Greece falls between 3.3766 meters and 4.0234 meters.
b.
The assumption that must be made to generalize this confidence interval to the population of all taxi drivers in Greece is that the sample of 50 taxi drivers is representative of the population. It is assumed that the sample was randomly selected and that the taxi drivers included in the study are a fair and unbiased representation of all taxi drivers in Greece.
Learn more about the confidence interval here:
https://brainly.com/question/31420373
#SPJ12
Write the algebraic expression:
99 times the sum of y and 9
A baseball team has scheduled its opening game for April 1. If it rains on April 1, the game is postponed and will be played on the next day that it does not rain. The team purchases insurance against rain. The policy will pay 1000 for each day, up to 2 days, that the opening game is postponed. The insurance company determines that the number of consecutive days of rain beginning on April 1 is a Poisson random variable with mean 0.6.
Required:
What is the standard deviation of the amount the insurance company will have to pay?
Plz help if correct ill give Brainlyest
Answer:
taena mo
Step-by-step explanation:
taenamo bubung yawa
Is this question correct? I know the 96 part is but i'm not sure about part A
Find the value of x.
Pleaseeee I needddd helpppp!!!!!!
Answer:
x = 40
Step-by-step explanation:
Measure of an external angle of a circle = ½(difference of the intercepted arcs)
This means that:
½(PQ - RS) = m<T
m<T = x/2
PQ = (x + 70)°
RS = (x + 30)°
Plug in the values
½((x + 70) - (x + 30)) = x/2
½(x + 70 - x - 30) = x/2
½(x - x + 70 - 30) = x/2
½(0 + 40) = x/2
½(40) = x/2
20 = x/2
Multiply both sides by 2
20*2 = x
40 = x
x = 40
A six-sided die is tossed and a coin is flipped. What is the fractional probability that the die lands on 4 and the coin is heads?
Answer:
1/12
Step-by-step explanation:
First we have to calculate the sample space i.e. The total number of outcomes,
(H represents heads, T represents Tails and Numericals represent the number on the die)
H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6
= 12 sample spaces
Ok now so what is the probability that the die lands on 4 and it pops up as heads. So when we see the total outcomes we see that such event has only one such outcome
The number of outcomes/Total number of outcome
So therfore we can represent it in fraction as
1 / 12
What is the range of the shoe sizes?
Answer:
The answer will be 9 and the frequency will be 18
Write an expression for the area of the gym.
Write an expression for the area of the cafeteria
Answer:
eating area?
Step-by-step explanation:
I need help with this please
I don’t get this lol can someone tell me the answer ?
Answer:
8 miles
Step-by-step explanation:
when its 3.5hours look to the left which is 8 miles
How many integers satisfy each inequality?
102 < x <105
Answer:
2
Step-by-step explanation:
The 2 integers are 103 and 104
Answer:
2
Step-by-step explanation:
103, 104
in a decimal[tex]\\4\frac{1}{5} \f}[/tex]
7TH GRADE MATH!!!!!!
Answer:
it a
Step-by-step explanation:
Answer:
the first one
Step-by-step explanation:
persent = part / hole
The perimeter of a rectangular lawn is 24m. If
the area of the lawn is 35m2; how wide is the
lawn?
Answer:
.
Step-by-step explanation:
.///////
Choose all the multiples of 6.
48
18
36
12
22
16
38
Answer:
48, 18, 36, 12
Step-by-step explanation:
6 evenly goes into all of them
Charleston's mom has a basket of nail polish containing 7 bottles of
pink, 2 purple, 1 red, 1 black, 1 white, and 3 glitter. If Charleston reaches
into the basket and pulls out a random bottle of nail polish, what is the
probability it will not be pink or purple? *
Answer:
Step-by-step explanation:
total number of nail polish = 15
number of pink nail polish= 7
number of purple nail polish = 2
so 7+2 = 9
15-9 = 6
so probability( of not getting pink or purple nail polish ) = favourable outcomes/ total outcomes
= 6/15
please help im literally crying i cant fail this
Answer:
V = 189
Step-by-step explanation:
V= lwh/3 = 9·9·7/3 = 189
Sam can run
2 1/2 miles in 30 minutes. At this rate, how long would it take Sam to
run 4 miles?
Can someone please help me
Will mark Brainly
Answer:
30
Step-by-step explanation:
[tex]3*5*4=60\\\\\frac{60}{2} =30[/tex]
P=6 and q=5, what is the value of 3pq
Answer:
90
Step-by-step explanation:
3pq
3×6×5=90
mark as brainliest please
Carl is on the school track team. To prepare for an upcoming race, he plans to run 217 miles total over the next 31 days. Write an equation to determine how many miles, m, he needs to run per day, assuming he runs the same amount each day. How many miles does Carl need to run each day?
Answer:
He needs to run 7 miles per day. 217/31 = 7m
Step-by-step explanation:
Graph the inequality p < -8
Please leave an answer! I’ll give brainlist
Answer:
start from 0 then take the line going to the left put it at 0 and drag it to -8
Step-by-step explanation: