All categories

3 years ago

A machine can wrap 110 candies per minute. At this production rate, how many candies can the machine wrap in 15 minutes

Mathematics

2 answers:

Gala2k [10]3 years ago

5 0

Answer:

1,650 candies

Step-by-step explanation:

rate: 110 candles per minute

time: 15 minutes

rate x time = work

110 x 15 = 1650

ExtremeBDS [4]3 years ago

3 0

Answer:

Therefore in 15 minutes the machine can wrap 1650 candies

Step-by-step explanation:

A machine can wrap 110 candies per minute. At this production rate, how many candies can the machine wrap in 15 minutes

We can solve this using proportion.

Let x be the number of candies the machine can wrap in 15 minutes.

110 candies = 1 minute

x = 15 minutes

cross-multiply

x = 15×110

x =1650 candies

Therefore in 15 minutes the machine can wrap 1650 candies

You might be interested in

The time taken to deliver a pizza has a uniform probability distribution from 20 minutes to 60 minutes. What is the probability

Whitepunk [10]

Answer:

(1) The probability that the time to deliver a pizza is at least 32 minutes is 0.70.

(2a) The percentage of results more than 45 is 79.67%.

(2b) The percentage of results less than 85 is 91.77%.

(2c) The percentage of results are between 75 and 90 is 15.58%.

(2d) The percentage of results outside the healthy range 20 to 100 is 2.64%.

Step-by-step explanation:

(1)

Let Y = the time taken to deliver a pizza.

The random variable Y follows a Uniform distribution, U (20, 60).

The probability distribution function of a Uniform distribution is:

$f(x)=\left \{ {{\frac{1}{b-a};\ x\in [a, b] } \atop {0};\ otherwise} \right.$

Compute the probability that the time to deliver a pizza is at least 32 minutes as follows:

$P(Y\geq 32)=\int\limits^{60}_{32} {\frac{1}{b-a} } \, dx \\=\frac{1}{60-20} \int\limits^{60}_{32} {1 } \, dx\\=\frac{1}{40}\times[x]^{60}_{32}\\=\frac{1}{40}\times[60-32]\\=0.70$

Thus, the probability that the time to deliver a pizza is at least 32 minutes is 0.70.

(2)

Let X = results of a certain blood test.

It is provided that the random variable X follows a Normal distribution with parameters $\mu = 60$ and $s = 18$ .

The probabilities of a Normal distribution are computed by converting the raw scores to z-scores.

The z-scores follows a Standard normal distribution, N (0, 1).

(a)

Compute the probability that the results are more than 45 as follows:

$P(X>45)=P(\frac{X-\mu}{\sigma}> \frac{45-60}{18})=P(Z>-0.833)=P(Z$

The percentage of results more than 45 is: $0.7967\times100=79.67\%$

Thus, the percentage of results more than 45 is 79.67%.

(b)

Compute the probability that the results are less than 85 as follows:

$P(X$

The percentage of results less than 85 is: $0.9177\times100=91.77\%$

Thus, the percentage of results less than 85 is 91.77%.

(c)

Compute the probability that the results are between 75 and 90 as follows:

$P(75$

The percentage of results are between 75 and 90 is: $0.1558\times100=15.58\%$

Thus, the percentage of results are between 75 and 90 is 15.58%.

(d)

Compute the probability that the results are between 20 and 100 as follows:

$P(20$

Then the probability that the results outside the range 20 to 100 is: $1-0.9736=0.0264$ .

The percentage of results outside the range 20 to 100 is: $0.0264\times100=2.64\%$

Thus, the percentage of results outside the healthy range 20 to 100 is 2.64%.

4 0

3 years ago

Write two times eighteen hundredths

Rzqust [24]

Answer

:2 X 0.018 = 0.036 (thirty six hundreds)

Step-by-step explanation:

8 0

2 years ago

in basketball, if a player is fouled, they are awarded a free throw.A free throw allows the player to take 1 or 2 shots dependin

avanturin [10]

Answer:

I'm confused what is the question?

Step-by-step explanation:

7 0

3 years ago

Solve for x: 2700=300•2^10x Check all that apply.Options are in image above

Genrish500 [490]

Answer:

B and C

Step-by-step explanation:

$300 \times {2}^{10x} = 2700 \\ {2}^{10x} = \frac{2700}{300} = \frac{27}{3} = 9 \\ {2}^{10x} = 9 \\ log( {2}^{10x} ) = log(9) \\ 10x \times log(2) = log(9) \\ (10 log(2) )x = log(9) \\ x = \frac{ log(9) }{10 \times log(2) }$

However, if you replace log with ln you can easily reach to the following solution as well.

$x = \frac{ ln(9) }{10 \times ln(2) }$

8 0

3 years ago

If m∠XWZ = 90, what is x?

satela [25.4K]

Answer: x=11

Step-by-step explanation:

4 0

3 years ago