1answer.
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
Setler79 [48]
3 years ago
5

Speed was increased 20% to 48 mph. What was the speed before the increase

Mathematics
1 answer:
grigory [225]3 years ago
8 0

Answer:

40 mph

Step-by-step explanation:

If the speed increased by 20%, now the speed is 120% of the original speed.

48 mph is 120%, so dividing by 6 will get 8 which is 20%.

If 8 is 20%, you can multiply it by 5 to get 40, which is 100%. This means 40 mph is the original speed.

Hope this helps!

You might be interested in
Find the volume.!!.!
zhuklara [117]

Answer:

The image is blurry for me

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
seven different gifts are to be distributed among 10 children. How many distinct results are possible if no child is to receive
Alik [6]

Answer:

120 distinct results are possible if no child is to receive more than one gifts.

Step-by-step explanation:

When the order is not important, we use the combination formula:

C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.

In this problem, we have that:

Combinations of 7 from a set of 10 elements. So

C_{n,x} = \frac{n!}{x!(n-x)!}

C_{10,7} = \frac{10!}{7!(3)!} = 120

120 distinct results are possible if no child is to receive more than one gifts.

6 0
3 years ago
How many hours will it take to complete a 76km bike ride if you go bike ride if you go 14km per hour the whole time?
soldi70 [24.7K]

To find the number of hours, divide the total distance by the speed.

Hours = 76 km / 14 km per hour

Hours = 4.529

Round the answer as needed.

8 0
3 years ago
Calculate the value of 1/3 a = -5
sladkih [1.3K]

Answer:

- 15

Step-by-step explanation:

\frac{1}{3} a =  - 5 \\  \\ a =  - 5 \times 3 \\  \\ a =  - 15

6 0
2 years ago
Read 2 more answers
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p
Alekssandra [29.7K]

Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so z = 1.645.

Item a:

The estimate is \pi = 0.213 - 0.195 = 0.018.

The sample size is <u>n for which M = 0.03</u>, hence:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}

\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2

n = 53.1

Rounding up, a sample size of 54 is needed.

Item b:

No prior estimate, hence \pi = 0.05

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2

n = 751.7

Rounding up, a sample of 752 should be taken.

A similar problem is given at brainly.com/question/25694087

5 0
2 years ago
Other questions:
  • Andrea Is selling candles as a fundraiser she spent $50 on supplies for making the candles she plans to sell candles for $10 eac
    15·1 answer
  • Would 1/5 be greater than 1/3 but less than 2/3
    9·1 answer
  • The table shows partial results of a survey about students who speak foreign languages.
    11·2 answers
  • How do you find the inverse of a function
    14·1 answer
  • you buy a used car for 15,000 it depreciates at the rate of 23% per year. find the value of the car for the given year
    10·1 answer
  • The drama club was selling tickets
    8·1 answer
  • If EG = 28 and F is the midpoint of<br> segment EG, the length of EF =<br> E<br> F.<br> G
    9·1 answer
  • The triangles shown below must be congruent.
    11·1 answer
  • Zero Product Property<br> Help asap<br><br> (n-5)(n+3)=0
    8·1 answer
  • Can you help wit this question
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!