answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inga [223]
2 years ago
9

a group of 10 people ran an average of 2.7 miles in one week. if the first 4 people in the group averaged 3 miles, what did the

last 6 people average
Mathematics
1 answer:
FromTheMoon [43]2 years ago
4 0
In this question, 10 people average running distance is 2.7miles. Then the sum of their running distance would be: 10 people * 2.7 miles/people= 27 miles.

The group then divided into 2, 4 people with 3 miles average and 6 people with unknown average. Since the people are same like the 10 people group, their total running distance would be the same. The calculation would be:

total distance = group1 * average1 + group2 * average2
27 miles= 4 people * 3 miles/people + 6 people* average2
6 people * average2 = 27 miles -12 miles = 15 miles
average2= 15 miles/6people= 2.5 miles/people
You might be interested in
Jenny is taking a vacation to Florida. She travels 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. O
Helga [31]
Jenny traveled 70 km/h over 2 hours and 63 km/h over 5 hours. Her travel time was a total of 7 hours. 

We need to find out how far she traveled during this 7-hour period.

70 km/h * 2 h = 140 km 
63 km/h * 5 h = 315 km

Then, we can add 140 km and 315 km to get a total distance traveled of <em>455 km/h.</em>

We were asked to find the average <em>speed.</em> We can find it now, since we have total distance traveled (455 km) and total time taken (7 hours).

Then, 
455km / 7h = 65 km/h.
6 0
2 years ago
What is the ratio of the afternoon to morning temperatures shown in the table? Temperatures Morning Afternoon 15 degrees. 30 deg
Nikitich [7]

Given:

Morning Temperature = 15 degrees, Afternoon Temperature = 30 degrees

Morning Temperature = 20 degrees, Afternoon Temperature = 40 degrees

Morning Temperature = 26 degrees, Afternoon Temperature = 52 degrees

To find:

The ratio of the afternoon to morning.

Solution:

Taking any one pair of morning and afternoon temperature, we can find the ratio.

Morning Temperature = 15 degrees

Afternoon Temperature = 30 degrees

\text{Ratio}=\dfrac{\text{Afternoon Temperature}}{\text{Morning Temperature}}

\text{Ratio}=\dfrac{30}{15}

\text{Ratio}=\dfrac{2}{1}

\text{Ratio}=2:1

Therefore, the correct option is C.

7 0
1 year ago
Read 2 more answers
Write an equation in slope intercept form for the line that contains the given point and is parrallel to the given line (0,4),Y=
Ilya [14]

Answer:

y = ½x + 4

Step-by-step explanation:

4 = ½[0] + b

0

4 = b

Parallel lines have SIMILAR <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so the 4 remains in the <em>m</em><em> </em>spot, plug in the ordered pair into the equation, then solve for <em>b</em><em>.</em><em> </em>This is your new equation once done:

y = ½x + 4

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**I have a video that explains how to find perpendicular and parallel lines of given lines. It is titled "Finding Slopes, y-intercepts, Perpendicular Equations, and Parallel Equations". Watch and gain alot more knowledge, so you can be one of the best of the best.

4 0
2 years ago
There are 5 Snickers, 10 Baby Ruths, 13 Milky Ways, 12 Twixs and17 Almond Joys in a bowl of candy. You reach into the bowl and r
agasfer [191]

Answer: 0.2415

Step-by-step explanation:

Given : There are 5 Snickers, 10 Baby Ruths, 13 Milky Ways, 12 Twixs and17 Almond Joys in a bowl of candy.

Total candy bars : 5+10+13+12+17=57

Probability of getting a Milky Way bar=p=\dfrac{\text{No. of Milky bars}}{\text{Total candy bars}}

\Rightarrrow\ p=\dfrac{13}{57}\approx0.23

Using Binomial distribution , the probability of getting success in x trials is given by:-

P(x)=^nC_xp^x(1-p)^{n-x}, where p uis probability of success in each trial and n is sample size.

If you randomly select n= 5 candy bars, then the probability you select exactly 2 Milky Way bars Will be :_

P(2)=^5C_2(0.23)^2(1-0.23)^{3}\\\\=\dfrac{5!}{2!(5-2)!}(0.23)^2(0.77)^3\\\\=0.241505957\approx0.2415

Hence, the probability you select exactly 2 Milky Way bars = 0.2415

8 0
2 years ago
Throughout the 2016 Presidential election primaries, Millennials (those aged 20 t 36 years) consistently supported Senator Berni
Dmitrij [34]

Answer:

The 90% confidence interval for the support of Sanders by millenials is between 53% and 57%.

0.53 \leq p \leq 0.57

Step-by-step explanation:

In this question we have to calculate a confidence interval (90% CI) on the proportion of millenials that had a favorable opinion on Sanders.

The sample size is n=1,754.

The p-hat, taken from the poll, is

\hat{p}=0.55

The estimated standard deviation is equal to:

\sigma_p=\sqrt{\frac{p(1-p)}{N}}=\sqrt{\frac{0.55*0.45}{1754}}=0.012

For a 90% CI, the z-value is z=1.645.

Then, the confidence interval is

\hat{p}-z*\sigma_p\leq p\leq\hat{p}-z*\sigma_p\\\\0.55-1.645*0.012\leq p\leq 0.55-1.645*0.012\\\\0.55-0.02 \leq p \leq 0.55+0.02\\\\0.53 \leq p \leq 0.57

6 0
2 years ago
Other questions:
  • there are 254 counties in Texas. Zane rounds the number of counties to the nearest ten. What is the difference between the actua
    8·2 answers
  • A marina is in the shape of a coordinate grid. Boat A is docked at (4.2, −2) and Boat B is docked at (−5.2, −2). The boats are _
    11·2 answers
  • If pq=9 and qr=28, find PR
    9·1 answer
  • which expression is equivalent to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2
    11·2 answers
  • 16 tons 400 pounds divided by 5
    14·1 answer
  • The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of
    11·1 answer
  • Randal builds and sells cabinets. When deciding what price to charge for a project, he considers the cost of materials and the t
    10·2 answers
  • The figure shows two semicircles centered at G and H. Point B is on both semicircles. Line DF touches each circle at one point o
    6·1 answer
  • Sergio has p paintings in his art collection. He and other local painting collectors agreed to donate a total of 48
    5·1 answer
  • Write the simplest form of the expression (64/729)^(−1/6)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!