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
alexandr402
8 days ago
9

Kim is training for a long-distance marathon. Before training, she was able to run one mile in seven minutes. For each of the ne

xt three weeks, she improved her time an average of 7 percent over the previous week. What is her time now?
Mathematics
1 answer:
Zina [3.9K]8 days ago
5 0

Answer:

0.93 minute

Step-by-step explanation:

During the first week:

Kim ran = 1 mile

Duration for this distance = 1 minute

In the second week:

The distance covered by Kim = 1 mile

The time taken by Kim = 7% less compared to the first week

                         = 1 min - 0.07 min = 0.93 minute

<pSo, she completed 1 mile in 0.93 minute this week.
You might be interested in
g European roulette. The game of European roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green. A bal
Leona [4187]

Answer:

The total expected value and standard deviation of your winnings are -$0.081 and $3, respectively.

Step-by-step explanation:

In European roulette, a wheel with 37 slots is spun: 18 are red, 18 are black, and 1 is green.

Bettors can wager on either red or black. Winning on their chosen color means they double their bet, while losing means they forfeit their stake.

Define the probability for the ball landing in a red slot = \frac{18}{37}

The probability of it landing in a black slot = \frac{18}{37}

The probability for landing in the green slot = \frac{1}{37}

Since bets are only placed on red or black,

The winning probability = \frac{18}{37}

and losing probability = \frac{18}{37}+\frac{1}{37}

= \frac{19}{37}

If a gambler wins, they receive $3, and if they lose, it amounts to -$3.

The expected value of the total winnings is hence;

E(X) = \sum X \times P(X)

= \$3 \times \frac{18}{37} + (-\$3 \times \frac{19}{37})

= \$3 \times (-\frac{1}{37})  = -$0.081

Furthermore, the standard deviation of the total winnings is given by;

S.D.(X) = \sqrt{(\sum X^{2} \times P(X))-(\sum X \times P(X))^{2} }

<pTherefore, E(X^{2})=\sum X^{2} \times P(X)

= \$3^{2} \times \frac{18}{37} + (-\$3^{2} \times \frac{19}{37})

= \$9 \times (\frac{18}{37}+\frac{19}{37})  = $9

Thus, S.D.(X) = \sqrt{\$9-(-\$0.081)^{2} }

= \sqrt{8.993}  = $2.99 ≈ $3

Consequently, the anticipated value and standard deviation of your total winnings are -$0.081 and $3, respectively.

6 0
9 days ago
L'età media di Aldo, Bruno, Carlo e Davide è 16 anni. Se non si tiene conto di Davide, l'età media dei tre rimanenti sale a 18.
AnnZ [3900]

Answer:

Davide is 10 years old.

L'età di Davide è 10.

Step-by-step explanation:

The average ages of Aldo, Bruno, Carlo, and Davide amount to 16 years.

Let’s denote:

x for Aldo's age.

y for Bruno's age.

z for Carlo's age.

w for Davide's age.

The average for all four is 16 years.

This gives us:

16 = \frac{x + y + z + w}{4}

x + y + z + w = 64

Excluding Davide, the average age of the other three is 18. Therefore:

18 = \frac{x + y + z}{3}

x + y + z = 54

Substituting into the original equation:

x + y + z + w = 64

54 + w = 64

w = 10

Hence, Davide’s age is indeed 10.

L'età di Davide è 10.

4 0
4 days ago
The main span of Bridge A ​(2300 ​feet) is​ _____ percent shorter than the main span of Bridge B ​(4700 ​feet).
Svet_ta [4341]
To determine this answer, you need to calculate the percentage change.
This involves dividing the difference in lengths by the original length. We begin with the main bridge.

4700 - 2300 = 2400
2400 divided by 4700 equals approximately 51.1% shorter.
3 0
11 days ago
According to the U.S. Census Bureau (2016), a substantial pay gap still exists. The average American man, with an advanced colle
Leona [4187]

Answer:

The earnings gap, over a career spanning 30 years, between men and women totals $1,200,150

Step-by-step explanation:

Calculated annually.

The typical male earns $90,761 each year.

The typical female earns $50,756 per annum.

Therefore, the annual difference is:

90,761 - 50,756 = 40,005

Across 30 years:

30*40,005 = 1,200,150

The earnings gap over a 30-year career, when comparing men and women, is $1,200,150

0 0
16 days ago
Which statements are correct steps in finding the linear equation of a line that passes through the points (-1, 7) and (2, 4) us
AnnZ [3900]

Answer:

Detailed steps:

y – 4 = –1 (x – 2)

y – 7 = –1 (x + 1)

y = –x + 6

Please consider marking me as the brainliest

6 0
9 days ago
Read 2 more answers
Other questions:
  • The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight
    11·1 answer
  • One division of a large defense contractor manufactures telecommunication equipment for the military. This division reports that
    12·2 answers
  • What type of triangle has side lengths of 4√5, √145 and 19?
    14·1 answer
  • What is the perimeter of a triangle with vertices located at (-1, 4), (2, 7), and (1, 5), rounded to the nearest hundredth? A. 7
    12·2 answers
  • It is recommended that adults consume at least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of ca
    13·1 answer
  • A mattress store sold 1,330 mattresses in one year. If 30% of the mattresses sold were king size mattresses, how many king size
    8·2 answers
  • The velocity of a ball is thrown up is 20 meters/second. It attains zero velocity after 3.5 seconds. What is the average acceler
    12·2 answers
  • Seven different models cars, from which there are three blue and four red, are to be parked in a row. Find how many different ar
    14·1 answer
  • Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dolla
    14·2 answers
  • The actual length (L) of a rectangle is 27 centimeters. Use the scale drawing of the rectangle to find the actual width (W).
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!