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
ValentinkaMS [17]
3 years ago
9

Using the formula r = d/t where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you tr

avel to cover 337.5 miles in 4.5 hours?
Mathematics
2 answers:
mote1985 [20]3 years ago
6 0
75 is the answer for the rate
BlackZzzverrR [31]3 years ago
3 0

Answer:

75 miles/hour

Step-by-step explanation:

Given information: d=337.5 miles and t=4.5 hours.

The given formula is

r=\frac{d}{t}

where d is the distance in miles, r is the rate, and t is the time in hours.

We need to find the rate for d=337.5 miles and t=4.5 hours.

Substitute d=337.5 and t=4.5 in the above formula.

r=\frac{337.5}{4.5}

r=75

The value of r is 75, therefore we need to travel at the rate of 75 miles per hours to cover 337.5 miles in 4.5 hours.

You might be interested in
If you place a 17-foot ladder against the top of a 8-foot building, how many feet will the bottom of the ladder be from the bott
Goshia [24]

Answer:

15 feet

Step-by-step explanation:

This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.

The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.

1. Plug your given values correctly into the Pythagorean Theorem.

a^{2} + b^{2} = c^{2}

8^{2} + b^{2} = 17^{2}

2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).

8^{2} + b^{2} = 17^{2} --> Square 8 and 17

64 + b^{2} = 289 --> Subtract 64 from both sides

b^{2} = 225 --> Square root both sides to get b by itself

b = 15

3. The distance is 15 feet

*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder

7 0
3 years ago
A manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective
Inessa05 [86]

Answer:

(a) P(X \leq 20) = 0.9319

(b) Expected number of defective light bulbs = 15

Step-by-step explanation:

We are given that a manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective independently. A box of 150 bulbs is selected at random.

Firstly, the above situation can be represented through binomial distribution, i.e.;

P(X=r) = \binom{n}{r} p^{r} (1-p)^{2} ;x=0,1,2,3,....

where, n = number of samples taken = 150

            r = number of success

           p = probability of success which in our question is % of bulbs that

                  are defective, i.e. 10%

<em>Now, we can't calculate the required probability using binomial distribution because here n is very large(n > 30), so we will convert this distribution into normal distribution using continuity correction.</em>

So, Let X = No. of defective bulbs in a box

<u>Mean of X</u>, \mu = n \times p = 150 \times 0.10 = 15

<u>Standard deviation of X</u>, \sigma = \sqrt{np(1-p)} = \sqrt{150 \times 0.10 \times (1-0.10)} = 3.7

So, X ~ N(\mu = 15, \sigma^{2} = 3.7^{2})

Now, the z score probability distribution is given by;

                Z = \frac{X-\mu}{\sigma} ~ N(0,1)

(a) Probability that this box will contain at most 20 defective light bulbs is given by = P(X \leq 20) = P(X < 20.5)  ---- using continuity correction

    P(X < 20.5) = P( \frac{X-\mu}{\sigma} < \frac{20.5-15}{3.7} ) = P(Z < 1.49) = 0.9319

(b) Expected number of defective light bulbs found in such boxes, on average is given by = E(X) = n \times p = 150 \times 0.10 = 15.

                                           

5 0
3 years ago
There are 1.67 x 10^21 molecules in a drop of water. How many molecules are in 100 drops of water? Write in scientific notation.
likoan [24]
3.34x10^23 molecules are in a 100g of water
8 0
2 years ago
4. 1/3(3y - 6) = 8 i need the answer to this please​
tiny-mole [99]

1/3 (3y - 6) = 8

distribute: y - 2 = 8

add 2 to both sides: y = 10

10

8 0
2 years ago
Read 2 more answers
Could someone please answer this question
polet [3.4K]

Its D, because the 40% were licensed drivers and the 37%were probably just drivers without their license.  

8 0
3 years ago
Other questions:
  • 6th grade math, help me pleasee:)
    13·2 answers
  • Elena drank 3 liters of water yesterday. Jada drank 3/4 time as much water as Elena
    5·1 answer
  • The mean of the following Data Set 5, 9, 3, 13, 5
    6·2 answers
  • A flower garden has been designed with an L-shaped walkway and viewing area around two sides as shown.
    9·1 answer
  • A cylinder has a volume of 320 cubic inches and a height of 5 inches.
    14·2 answers
  • Hey I need help on this question not getting it, if one of you could please help me it would mean alot! Thank you!!
    7·1 answer
  • Using the system below, find the maximum value using the given f(x,y) function
    10·1 answer
  • 4a^2 - 7b + 2ab - a^2 + b
    6·2 answers
  • Simplification <br>-4a+b+3c+3a-3b+c​
    10·1 answer
  • Triangle BED is located at B(1,1),E(3,1), and D(2,5). If the triangle is dilated by 3, what is the new location of E?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!