Answer:
x = 33.5 °
Step-by-step explanation:
The two angle add to a straight 180 degree angle
so
4x+5 + 41 = 180
4x = 134
x = 33.5 °
DJ Titus is making a playlist for a radio show; he is trying to decide what 10 songs to play and in what order they should be played. Step 1 of 2 : If he has his choices narrowed down to 7 blues, 7 disco, 5 pop, and 7 reggae songs, and he wants to play no more than 4 reggae songs, how many different playlists are possible
Answer:
Different playlists possible = 18287141644800
Step-by-step explanation:
Given - DJ Titus is making a playlist for a radio show; he is trying to
decide what 10 songs to play and in what order they should be
played.
Step 1 of 2 : If he has his choices narrowed down to 7 blues,
7 disco, 5 pop, and 7 reggae songs.
To find - He wants to play no more than 4 reggae songs.
How many different playlists are possible ?
Proof -
Given that he wants to play no more that 4 reggae songs.
So the possibility of choice of reggae song is 0, 1, 2, 3, 4
Now,
Case I -
If 0 reggae song is selected
⇒All 10 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₁₀ ₓ ⁷C₀ = 92,378
Case II -
If 1 reggae song is selected
⇒All 9 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₉ ₓ ⁷C₁ = 646,646
Case III -
If 2 reggae song is selected
⇒All 8 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₈ ₓ ⁷C₂ = 1,587,222
Case IV -
If 3 reggae song is selected
⇒All 7 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₇ ₓ ⁷C₃ = 1,763,580
Case V -
If 4 reggae song is selected
⇒All 6 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₆ ₓ ⁷C₄ = 949,620
So,
Total possible ways = 92,378+ 646,646+ 1,587,222+ 1,763,580+ 949,620
= 5,039,446
⇒Total possible ways = 5,039,446
Now,
Also the 10 songs selected can arranged themselves in 10! ways. ( because order of song played does not matter )
∴ we get
Different playlists possible = 10! × 5,039,446
= 18287141644800
⇒Different playlists possible = 18287141644800
Michelle has four credit cards with the balances and interest rates listed below. She would like to consolidate all of her credit cards masingle credit card with an interest rate of 16% and pay off the balance in 36 months. If she did so, what would Michelle's monthly credit card payment be? Credit Card APR $4380 $1,385 a. $36735 b $464.95 $685.23
Answer:
$194.0008
Step-by-step explanation:
I'm not sure if this is correct but I hope it helps
16% of 4380
0,16×4380
=$700.8
16% of 1385
0,16×221.6
=221.6
16% of 36735
0,16×36735
=$5877.6
16% of 464.95
0,16×464.95
=$74.392
16% of 685.23
0,16×685.23
=$109. 6368
700.8+221.6+3877.6+5877.6+74.392+109.6368=$6984.0288
6984.0288÷36=$194.0008
the monthly payment for Michelle's consolidated credit card balance would be approximately $201.59.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, the total balance of all four credit cards:
Total balance = $4380 + $1385
Total balance = $5765
Hence, Determine the interest rate for the consolidated credit card: Interest rate = 16%
And, the term of the loan:
Term = 36 months
Hence, Use a loan calculator to calculate the monthly payment, using the total balance, interest rate, and term:
Monthly payment = $201.59
So, the monthly payment for Michelle's consolidated credit card balance would be approximately $201.59.
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Does this graph represent a function?
A group of researchers investigated the effects of bed room lighting conditions in developing eye sight problems and found that A) Of a total of 202 children who slept in darkness, 12 percent were nearsighted. B) Of a total of 333 who slept with a nightlight, 44 percent were nearsighted, and C) Of a total of 90 who slept with a lamp on, 65 percent were nearsighted. After data was collected, researchers realized that they forgot to formulate a hypothesis. Your task is to 1. Write a Directional hypothesis for this study 2. Write a Non directional hypothesis for this study 3. Identify the control group of this study 4. Identify experimental group(s) of this study 5. Identify dependent and independent variables of this study
Answer:
Step-by-step explanation:
From the given information:
We are to find the following:
1)
Directional hypothesis: The directional hypothesis is the groups with different bedroom lightning conditions having a different proportion of eyesight proportions.
2)
The non directional hypothesis is each group having the same proportion of eyesight problems regardless and independent of the condition of the bedroom lightning.
3)
Control group: Children that slept in darkness
4)
Experimental groups: Children that slept in night light and those that slept with lamp.
5)
Independent variable: Light condition of the bedroom
Dependent variable: Eye sight problem.
12,18,27,...
What is the 7th term in the sequence?
Answer:
[tex]T_7 = 136.6875[/tex]
Step-by-step explanation:
Given
12, 18, 27, ..
Required
Determine the 7th term
The above sequence shows a geometric sequence and the nth term is calculated by:
[tex]T_n = a * r^{n-1[/tex]
r is calculated by:
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]r = \frac{18}{12}[/tex]
[tex]r = 1.5[/tex]
[tex]a = 12[/tex] --- First term
[tex]n = 7[/tex]
So:
[tex]T_n = a * r^{n-1}[/tex]
[tex]T_7 = 12 * 1.5^{7-1[/tex]
[tex]T_7 = 12 * 1.5^6[/tex]
[tex]T_7 = 136.6875[/tex]
Mark thinks the equation y= 4^x will match the solid
graph. Mia thinks it will match the dotted graph.
Who is correct?
Mark
Mia
Both
Neither
Explain your thinking
Answer:
Mark
Step-by-step explanation:
because when x = 0; y = 1
x=1; y=4
and those points are on the solid line graph.
The thought of Mark is correct.
What are Exponential Functions?Exponential functions are functions where the independent variable, x is in the exponent.
Given a graph.
It has a solid line and a dotted line.
The given equation is, y = 4ˣ.
In order to find which graph shows the equation, find the points that the graph of the equation will pass through.
When x = 0, y = 4⁰ = 1
Solid graph passes through (0, 1).
Hence Mark is correct.
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Help me answer this for brainliest
Answer:
question 1(2)
answer 4
question 2(3)
answer 1
question 3(4)
(a)6; factored
(b)7; factored
c(8); factored
answer only if you know it ty.
Answer:
[tex]\Huge\boxed{x<3}[/tex]
Step-by-step explanation:
-9.5x-1.5>-30
Hello There!
So once again we want to isolate the variable using inverse operations
To get rid of the 1.5 we add 1.5 to each side
-1.5+1.5 cancels out
-30+1.5=-28.5
now we have
-9.5x>-28.5
to get rid of the -9.5 we divide each side by -9.5
-9.5x/-9.5=x
-28.5/-9.5=3
Remember we are dividing by a negative number so we have to flip the inequality sign
We're left with
x<3
Answer:
Solution bayan imnot aure
The question that is asked
Answer:
the answer is 35.0° pls thank :)
What is the volume of the cone to the nearest subic meter. r=4 h=5
A.)21m3
B.)84m3
C.)168m3
D.)335m3
Answer:
B.) 84m3
Step-by-step explanation:
V = 1/3 pi r2 h
1/3 × 22/7 × 4 × 4 × 5
84m3
2. Ronu's present age is "x “years and her sister Shaani's present age is twice
of Ronu's age. Write following as algebraic expression
a) Ronu's present age
b) Ronu's age after 2 years
c) Shaani's present age
d) Shaani's age after 2 years
What hould be added to 100 to get - 132
Answer:
x = -232
Step-by-step explanation:
Ronu's present age is "x “years and her sister Shaani's present age is twice of Ronu's age.
(a) Ronu's present age = x years
(b) Ronu's age after 2 years = (x+2) years
(c) Shaani's present age = 2x years
(d) Shaani's age after 2 years = (2x+2) years
Let x should be added to 100 to get -132.
x+100 = -132
x = -100-132
x = -232
Hence, -232 must be added to 100 to get -132.
What are some of the factors that would influence your insurance costs?
OA. Your gender.
OB. Where you live.
OC. The type of car you drive.
OD. All of the above.
Answer:
D. All of the above
Step-by-step explanation:
Insurance costs are influenced by any factor that can reasonably be tied to the cost of claims made against an insurance policy. These costs are carefully analyzed by insurance companies to determine correlations that may be influential.
__
In general, women have different driving habits than men, so gender has an influence on insurance costs.
Some areas of a city have different statistics related to vandalized or stolen vehicles, so may influence insurance costs. Certain areas may have different accident statistics, or may experience different kinds of accidents, so repair costs may differ by where you live or where you drive.
Some cars are more expensive to repair than others. Any car with custom features (stereo, upholstery, paint) will likely cost more to repair (and may be subject to more vandalism).
So, all of the above influence insurance costs.
Apply the distributive
property to write
equivalent expressions in
expanded form.
4(h+6) 7(3h + 3)
Answer:
25h + 45
Step-by-step explanation:
4(h+6) 7(3h+3)
4h + 24 21h + 21
25h + 45
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
solution to the inequality 2b + 8 < 12 ? *
Answer:
abcdefghmea aab is the breadth and comment of a student
Reviews of call center representatives over the last three years showed that 10% of all call center reps were rated as outstanding, 75% were rated as excellent/good, 10% percent were rated as satisfactory, and 5% were considered unsatisfactory. For a sample of 20 reps selected at random, the probability that two or less will be rated as outstanding is 0.9298.
A. True
B. False
1. Explain how to write 1.25 divided by 0.8 three ways.
Answer:
Step-by-step explanation:
1.25/.8=a
[tex]\frac{5}{4} /\frac{4}{5}[/tex]
1.25/4/5
Someone solve for x pls
Answer:
Possibly wrong but 13.66?
Answer:
√8
Step-by-step explanation:
a^2 + b^2 = 4^2
a^2 + b^2 = 16
a^2 = b^2
a^2 = 8
a & b = √8
Brainilist Maybe?
The line plot shows the distances in miles, run by joggers in a park.
Х
X
Х
Х
Х
Х
Х
Х
Х
X
0
1
2
3
4
5
6
7
8
9
How many runners ran at least 3 miles?
Enter your answer in the box
runners
Answer:
but i think is 2x
Step-by-step explanation:
hecause 2x
4x divided by 2x=2x
A two-sample t-test will be conducted to investigate whether the mean number of tickets sold for children each day is less at movie theater J than at movie theater K. From a random sample of 50 days at theater J, the average was 75 children tickets with standard deviation 12. From a random sample of 60 days at theater K, the average was 85 children tickets with standard deviation 14. Under the assumption that there is no difference in the population means (J minus K), what is the appropriate test statistic for the test?
Answer:
The solution is in attachment section
If <2 = 75 degrees and <3 = 30 degrees, find <3 and <4.
Answer:
angle 3 is 30 and 4 is 150 because total angle is 180 between 3 and 4
What is the solution to the inequality? -3x - 14 < -5
Answer:
-3x - 14 < -5
-3x < 9 (14 - 5)
x < 9: (-3)
x < -3
=> x = { -4, -5, -6, ...}
Step-by-step explanation:
Mr Ross told his class that the class pet hamster is 1/3 foot long. How long is the pet hamster in inches? (1 ft = 12in)
Finish solving blanks to answer the original question:
1/3 ft = 1/3 x 1ft
= 1/3 x 12 in
= _ in
The hamster is _ inches long
Answer:
4 inches
Step-by-step explanation:
Answer:
4 inches
Step-by-step explanation:
If 1ft= 12 inches
then 1/3ft= ?
cross multiply
12*1/3= 4
=4 inches
Select all the studies in which the results may have been skewed by bias.
a study of the popularity of a particular music genre, with a small standard deviation about the mean
a study on the heights of a group of fourth graders, where 90% of the data fell below the population mean
a study of the average annual rainfall, with 28% of the data having a z-score greater than 1
a study on employees’ commute time, with 90% of the data falling within 1 standard deviation of the population mean
a study with a significantly larger than expected standard deviation about the sample mean
a study on the average life span of a type of plant, where 50% of the data fell above the population mean
The studies in which the results may have been skewed by bias.
A study of the popularity of a particular music genre, with a small standard deviation about the mean.What is a skewed (biased) result?Others are:
A study on the average life span of a type of plant, where 50% of the data fell above the population mean.
A skewed or (biased) result, is known to often occur even if there was an accurate that is unbiased algorithm that is said to be seen as skewed (biased) data.
Note that when you If you wrongly remove or include some participants in your research, you can be able to get skewed data results.
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Triangle A'B'C'is the image of triangle ABC under a rotation about the origin. (0,0)
determine the angle of rotation
a. -105
b. -75
c. 75
d. 105
9514 1404 393
Answer:
b. -75°
Step-by-step explanation:
Point A moves from (-4, -3) to (-4, 3). We can find the angle of rotation several ways. One is to consider the tangent of the angle relative to the x-axis.
Point A is on a line that makes an angle to the x-axis of ...
∠A = arctan(-3/-4) = 36.9°
Point A' is on a line that makes an angle to the x-axis of ...
∠A' = arctan(3/-4) = -36.9°
Then the change in angle is ...
∠A' -∠A = -36.9° -36.9° = -73.8°
The closest answer choice is ...
b. -75°
Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get to receive an
award?
A 74
B 70
с. 84
D. 60
Brainliest quick
Answer:
The answer is 74 <33
Step-by-step explanation:
Tickets for a raffle cost $ 9. There were 788 tickets sold. One ticket will be randomly selected as the winner, and that person wins $ 1700 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places.
Answer:
24 because you have to subtract
I have $8$ pieces of strawberry candy (all identical) and $7$ pieces of rhubarb candy (all identical). Find the number of ways I can distribute this candy to $5$ children.
This is a math question,
Please Solve Correctly.
Given:
Number of strawberry candy = [tex]\bold{8\ pieces}[/tex]
Number of rhubarb candy = [tex]\bold{7 \ pieces}[/tex]
Find the number of ways for equally distributing candy to all 5 children
Using formula:
[tex]\to \bold{_{n} C_{r}=\frac{n !}{r!(n-r) !}}[/tex]
Calculating the distributing way for strawberry candy:
[tex]\to \bold{_{8} C_{5}=\frac{8 !}{5!(8-5) !}}[/tex]
[tex]\bold{=\frac{8 !}{5! \ 3 !}}\\\\\bold{=\frac{8 \times 7 \times 6 \times 5!}{5! \ 3 \times 2\times 1}}\\\\\bold{=\frac{8 \times 7 \times 6 }{ 6}}\\\\\bold{=8 \times 7}\\\\\bold{=56}[/tex]
Calculating the distributing way for rhubarb candy:
[tex]\to \bold{_{7} C_{5}=\frac{7 !}{5!(7-5) !}}[/tex]
[tex]\bold{=\frac{7 !}{5! \ 2 !}}\\\\\bold{=\frac{7 \times 6 \times 5!}{5! \ 2\times 1}}\\\\\bold{=\frac{ 7 \times 6 }{ 2}}\\\\\bold{=7 \times 3}\\\\\bold{=21}[/tex]
Adding both distributing ways:
[tex]\to \bold{56+21=77}[/tex] ways
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What is the result when 3x+25 is subtracted from 35x-410
Answer:
32x-435
Step-by-step explanation:
(35x-410) - (3x+25)
35x-3x=32x
-410-25=-435
Solve for x
Pls help
Step-by-step explanation:
collect the like terms 12x+4=9x+8
12x-9x=8-4
3x=4
X=1.333
Answer:
8
Step-by-step explanation:
As both angles are corresponding their sum will be 180➝12x+4+9x+8=180
➝12x+9x+4+8=180
➝21x+12=180
➝21x=180-12
➝21x=168
➝x=168/21
➝x=8