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
USPshnik [31]
3 years ago
8

A car drove at a rate of 32 miles every minute. If the speed per minute remains the same, which method could be used to determin

e the number of miles driven in 25 minutes? *
Mathematics
1 answer:
Radda [10]3 years ago
5 0

Step-by-step explanation:

if the car speeds at a constant rate of 32mi/m

the number of miles travelled in the next 25 min

= 32 mi/m ×25m

800 miles in the next 25 min

You might be interested in
"6. A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small s
statuscvo [17]

Answer:

(a) The probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b) The probability that all of the selected consumers recognize the brand name is 0.0041.

(c) The probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d) The events of 5 customers recognizing the brand name is unusual.

Step-by-step explanation:

Let <em>X</em> = number of consumer's who recognize the brand.

The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.40.

A random sample of size, <em>n</em> = 6 consumers are selected.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

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

(a)

Compute the value of P (X = 5) as follows:

P(X=5)={6\choose 5}0.40^{5}(1-0.40)^{6-5}\\=6\times0.01024\times0.60\\=0.036864\\\approx0.0369

Thus, the probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b)

Compute the value of P (X = 6) as follows:

P(X=6)={6\choose 6}0.40^{6}(1-0.40)^{6-6}\\=1\times 0.004096\times1\\=0.004096\\\approx0.0041

Thus, the probability that all of the selected consumers recognize the brand name is 0.0041.

(c)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = P (X = 5) + P (X = 6)

              = 0.0369 + 0.0041

              = 0.041

Thus, the probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d)

An event is considered unusual if the probability of its occurrence is less than 0.05.

The probability of 5 customers recognizing the brand name is 0.0369.

This probability value is less than 0.05.

Thus, the events of 5 customers recognizing the brand name is unusual.

8 0
3 years ago
Two trains leave New York at the same time heading in opposite directions. Train A travels at 4/5 the speed of train one. After
grandymaker [24]
<h3>Answer:  </h3><h3>speed of train A = 44 mph</h3>

=============================================

Work Shown:

x = speed of train A

y = speed of train B

"train A travels 4/5 the speed of train B" (I'm assuming "train one" is supposed to read "train B"). So this means x = (4/5)y

distance = rate*time

d = x*7

d = (4/5)y*7 = (28/5)y represents the distance train A travels

d = y*7 = 7y represents the distance train B travels

summing those distances will give us 693

(28/5)y + 7y = 693

5*(  (28/5)y + 7y ) = 5*693

28y + 35y = 3465

63y = 3465

y = 3465/63

y = 55

Train B's speed is 55 mph

4/5 of that is (4/5)y = (4/5)*55 = 4*11 = 44 mph

Train A's speed is 44 mph

8 0
3 years ago
After 6 months what would be the simple interest earned on an investment of $5,000 be at 6%.
stiks02 [169]

Answer:

$150

Step-by-step explanation:

I = prt

I = 5000(.06)(.5)

I = 150

8 0
3 years ago
Which expression is equivalent to 5^3?
AleksAgata [21]

Answer:

C and D

Step-by-step explanation:

5^3 - 5^0 = 125 - 1 = 124, so it's not A

5^12 / 5^4 = 5^(12-4) = 5^8, so it's not B

5^7 * 5^-4 = 5^(7+(-4)) = 5^3, so it can be C

5^0 * 5^3 = 5^(0+3) = 5^3, so it can be D

5 + 5^2 = 5 + 25 = 30, so it can't be E

3 0
2 years ago
Which of these equations are true when the value of y is 27?
charle [14.2K]

Answer: i and lll

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Write a percent between 25% and 50%.then write it as a decimal and as a fraction in simplest form
    10·1 answer
  • Joseph has started completing the square on the equation 3x^2-7x+12=0. He has worked to the point where he has the expression x^
    9·1 answer
  • Nine less than twice x is three more than x what is the value of x
    10·1 answer
  • Question 20
    8·1 answer
  • A tortoise is walking in the desert. It takes
    7·1 answer
  • Mrs. washington's class has x student. Three-fourths of these students like pizza.If 21 students in the class like pizza, which
    9·1 answer
  • During the Fall benchmark Ray missed 9 out of 24 questions. If the number of questions on the Spring benchmark is proportional t
    9·1 answer
  • Four friends were born in consecutive years. The sum of their
    7·1 answer
  • Whoever gives the right answer will get brainliest
    7·2 answers
  • Is a 100% a bad grade for a math test
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!