Answer:
120
Step-by-step explanation:
let r be the rate for the slower, 84 miles, portion of the trip
let t1 be the time for the 120 miles portion of the trip and t2 for the 84 miles portion
:
1) t1 + t2 = 3
2) (r+9)*t1 = 120 and r*t2 = 84
3) (r+9)*t1 + r*t2 = 120 + 84 = 204
:
expand the left side of equation 3
:
r*t1 + 9*t1 + r*t2 = 204
r*(t1+t2) +9*t1 = 204
:
substitute for (t1+t2) by using equation 1)
:
3*r + 9*t1 = 204
:
divide both sides of = by 3
:
4) r + 3*t1 = 68
:
use the equation for t1 from the equations defined at 2)
:
t1 = 120 / (r+9)
:
substitute for t1 in equation 4)
:
r + 3*(120/(r+9)) = 68
:
r^2 +9r +360 = 68 * (r+9)
:
r^2 -59r -252 = 0
:
(r-63)*(r+4) = 0
:
r = 63 and r = -4
:
we reject the negative value for r
:
***************************************************************************
Joe and Nancy drove 63+9 = 72 miles per hour for the first 120 miles of the trip
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
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
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.
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
Simplify the sum. (8u^3+8u^2+6)+(4u^3-6u+3)
Answer:
[tex]\boxed{12u^3+8u^2-6u+9}[/tex]
Step-by-step explanation:
[tex](8u^3+8u^2+6)+(4u^3-6u+3) = 8u^3+8u^2+6+4u^3-6u+3[/tex]
Once
[tex]8x+4x = 12x, \text{ as } x = u^3[/tex]
[tex]8u^3+8u^2+6+4u^3-6u+3 = 12u^3+8u^2+6-6u+3 = \boxed{12u^3+8u^2-6u+9}[/tex]
You don't need to factor.
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
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.
Learn more about bias from
https://brainly.com/question/24491228
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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.
helpppp meeeee plz thee timee
Answer:
the triangle is congruent by sss.
Answer:
they are congruent by s.s s axiom
Stephanie bought a chair for $124.00. The finance charge was $24 and she paid for it over 12 months. (Finance Charge: #Months)(12) Use the formula Amount Financed calculate her approximate APR. Approximate APR to Round the answer to the nearest tenth.
O 20.5%
O 19.4%
O 1.6%
O 1.5%
Anwers
20.5%
step by step
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
If anyone could help with this
state cauchy's integral formula
Answer:
Step-by-step explanation:
The Cauchy integral formula states that the values of a holomorphic function inside a disk are determined by the values of that function on the boundary of the disk. More precisely, suppose f : U → C f: U \to \mathbb{C} f:U→C is holomorphic and γ is a circle contained in U.
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Out of what material did coal form?
Answer:
Coal is formed of carbon.
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°
Anyone can help please
I haven't done this in a while but I'm pretty sure the answer is
D; The outlier
Answer:
D - outlier
Step-by-step explanation:
It can’t be A - the spread would the minimum and maximum.
‘Can’t be B - the mean in the overall average, which would probably be a bit higher than 13
Can’t be C - the median is the “middle” number when ordered smallest to largest. It would be 13 in this example
24 is an odd number compared to the rest. It seems like it might be an error in the data, because it is so different than all the rest - hence it is the outlier.
What is 2/3 of 3/4 equal to
Answer:
3/4 Is equal to .74 and 2/3 is equal to 66.67
Step-by-step explanation:
Answer:
8/9
or
89% after being rounded to the nearest whole
Step-by-step explanation:
The connotation "of" means to divide to find the percent/part of the whole.
2/3 ÷ 3/4 = 2/3 x 4/3 = 8/9 = 0.88....
So it is either 8/9, or 89% (when rounded)
How much interest does a $482 investment earn at 5.5% over three years?
Answer:
Answer is 80192.75
Step-by-step explanation:
It's easy, I just used a calculator and I multiplied 482 x 5.5 three times since it's three years. Have a good day and I hope I helped you today!!!
This shape has been made from two identical triangles
Answer:
square or rectangle
Step-by-step explanation:
13,5,11,8,14,15
please find the median!!
Answer:
The answer is twelve :)))
Answer:
12
Step-by-step explanation:
Each of three supermarket chains in the Denver area claims to have the lowest overall prices. As part of an investigative study on supermarket advertising, a local television station conducted a study by randomly selecting nine grocery items. Then, on the same day, an intern was sent to each of the three stores to purchase the nine items. From the receipts, the following data were recorded. At the 0.100 significance level, is there a difference in the mean price for the nine items between the three supermarkets?
Item Super Ralph's Lowblaws
1 $2.32 $1.25 $1.25
2 2.40 1.80 1.87
3 2.10 3.10 3.10
4 2.30 1.87 1.87
5 1.21 1.37 1.37
6 4.04 3.05 1.72
7 4.32 3.52 2.22
8 4.15 3.08 2.40
9 5.05 4.15 4.21
1. State the null hypothesis and the alternate hypothesis.
2. What is the decision rule for both?
3. What is your decision regarding the null hypothesis?
4. Is there a difference in the item means and in the store means?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Item Super Ralph's Lowblaws
1 $2.32 $1.25 $1.25
2 2.40 1.80 1.87
3 2.10 3.10 3.10
4 2.30 1.87 1.87
5 1.21 1.37 1.37
6 4.04 3.05 1.72
7 4.32 3.52 2.22
8 4.15 3.08 2.40
9 5.05 4.15 4.21
H0 : sample mean are equal
H1: sample mean are not equal
Using the Chisquare distribution calculator :
Chisquare :
(Observed - Expected)² ÷ Expected
Chisquare value = 1.759
Degree of freedom (df) = (row - 1) * (column - 1)
Df = (9-1) * (3-1) = 8*2 = 16 at α = 0.10
Pvalue = 0.999
Decision region :
Reject H0 if Pvalue < α
Since, 0.999 > 0.10 ; Then, Fail to reject H0
Hence, there is no difference in the mean price and the store means.
For the function f(x)=−x2+x−7, find f(1)
Answer:
f(1)= -(1)2 + (1) -7
f(1)= -1+1-7
f(1)= -7
Step-by-step explanation:
when you substitute 1 in the function it doesn't carry the negative sign it's independent
evaluate in the following expression when x = 4 and y = 5
2.) Ms. Baker is out today. When she returns she hopes to see 100% of her 70
students to have completed and turned their work assigned by the sub. How
many students does Ms. Baker hope have their work assigned by the sub
completed and turned in?
Answer:
70
Step-by-step explanation:
100% means all of them.
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]
a group of preschoolers has 31 boys and 37 girls. What is the ratio of girls to boys
Answer:
37:31 or any other way of writing 37 to 31
Step-by-step explanation:
Write the ratio the same way the question asks, there are 37 girls and 31 boys. This cannot be simplified.
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
Learn more:
probability: brainly.com/question/23044118
Tammy ran 4 & 2/5 miles on Saturday. On Sunday she ran for 1/2 of the distance she
ran on Saturday.
Tammy ran Sunday.
Answer:
I need help right now with math
Step-by-step explanation:
Answer:
4 2/5 × 1/2= 2 1/5 / 2.2 miles
Step-by-step explanation:
hope this helps.
solution to the inequality 2b + 8 < 12 ? *
Answer:
abcdefghmea aab is the breadth and comment of a student