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2 years ago

A certain bag of potting soil is 1/4 peat moss, and the rest is dirt, what part is dirt

Mathematics

2 answers:

11111nata11111 [884]2 years ago

6 0

Answer: $\dfrac{3}{4}$

Step-by-step explanation:

In fraction, we consider natural number "1" as the whole part.

Given : A certain bag of potting soil is $\dfrac{1}{4}$ peat moss, and the rest is dirt .

Then , the part of dirt will be :-

$1-\dfrac{1}{4}=\dfrac{4-1}{4}=\dfrac{3}{4}$

Therefore, the part of bag is dirt $=\dfrac{3}{4}$ or three-fourth.

AVprozaik [17]2 years ago

4 0

If you do the math you'll get 3/4 of the bag is dirt.

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The closing price (in dollars) per share of stock of tempco electronics on the tth day it was traded is approximated by p(t) = 2

Vaselesa [24]

solution:

The closing price (in dollars) per share of stock of Tempco Electronics on the tth day it was

traded is approximated by

P(t) = 20 + 12 sin πt/30 − 6 sin πt/15 + 4 sin πt/10 − 3 sin 2πt/15 (0 ≤ t ≤ 24)

where t = 0 corresponds to the time the stock was first listed on a major stock exchange.

What was the rate of change of the stock's price at the close of the 15th day of trading?

P'(t) = 12(cos πt/30) - 6 (cos πt/15) + 4(cos πt/10) - 3(cos 2πt/15)

t = 15

P'(t) = 12(cos 15π/30) - 6 (cos 15π/15) + 4(cos 15π/10) - 3(cos 30π/15)

P'(t) = 12(cos π/2) - 6 (cos π) + 4(cos 3π/2) - 3(cos 2π)

P'(t) = 12(0) - 6(-1) + 4(0) - 3(1) = 6 - 3

P'(t) = $3 per day RATE OF CHANGE

the closing price on that day

P(t) = 20 + 12 sin πt/30 − 6 sin πt/15 + 4 sin πt/10 − 3 sin 2πt/15

t = 15

P(t) = 20 + 12 sin 15π/30 − 6 sin 15π/15 + 4 sin 15π/10 − 3 sin 30πt/15

P(t) = 20 + 12 sin π/2 − 6 sin π + 4 sin 3π/2 − 3 sin 2π

P(t) = 20 + 12(1) − 6(0) + 4(-1) − 3(0) = 20 + 12 - 0 - 4 - 0 = 20 + 12 - 4

P(t) = $28 per share close price

4 0

2 years ago

Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. Scores o

otez555 [7]

Answer:

Due to the higher z-score, David has the higher standardized score

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Which student has the higher standardized score

Whoever had the higher z-score.

David:

Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. So $X = 52, \mu = 70, \sigma = 11$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{52 - 70}{11}$

$Z = -1.64$

Steven:

Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. So $X = 52, \mu = 64, \sigma = 6$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{52 - 64}{6}$

$Z = -2$

Due to the higher z-score, David has the higher standardized score

3 0

2 years ago

37 For a class picnic, two teachers went to the same store to purchase drinks. One teacher purchased 18 juice boxes and 32 bottl

Pavel [41]

Answer:

Step-by-step explanation:

Let j represent the cost of a juice box.

Let w represent the cost of a bottle of water.

One teacher purchased 18 juice boxes and 32 bottles of water, and spent $19.92.. This means that

18j + 32w = 19.92 - - - - - - - - - - - - 1

The other teacher purchased 14 juice boxes and 26 bottles of water, and spent $15.76. This means that

14j + 26w = 15.76- - - - - - - - - - - - 2

Multiplying equation 1 by 14 and equation 2 by 18, it becomes

252j + 448w = 278.88

252j + 468w = 283.68

Subtracting, it becomes

- 20j = - 4.8

j = - 4.8/- 20 = 0.24

Substituting j = 0.24 into equation 1, it becomes

18 × 0.24 + 32w = 19.92

4.32 + 32w = 19.92

32w = 19.92 - 4.32 = 15.6

w = 15.6/32 = 0.4875

Kara's prices are incorrect.

the cost of a juice box is $0.24

the cost of a bottle of water is $0.4875

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2 years ago

Credit card A offers an introductory APR of 4.1% for the first 3 months and a standard APR of 18.5% thereafter, while credit car

vfiekz [6]

Credit card A
First 3 months:
4.1% / 360 = 0.011% x 30 = 0.34% per month for the first 3 months.
Next 9 months:
18.5% / 360 = 0.051% x 30 = 1.54% per month for the next 9 months.

Credit card B:
First 3 months
3.7% / 360 = 0.010% x 30 = 0.30% per month for the first 3 months
Next 9 months:
18.9% / 360 = 0.0525% x 30 = 1.575% per month for the next 9 months

Credit Card B is the better deal for the first 3 months.
Credit Card A is the better deal for the next 9 months.

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2 years ago

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Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. Let A be the event

Gekata [30.6K]

Answer:

$\text{A and B are independent events}, P(A|B)=P(A)=0.16$

Step-by-step explanation:

First of all we need to know when does two events become independent:

For the two events to be independent, $P(A|B)=P(A)$ that is if condition on one does not effect the probability of other event.

Here, in our case the only option that satisfies the condition for the events to be independent is $P(A|B)=P(A)=0.16$ . Rest are not in accordance with the definition of independent events.

4 0

2 years ago

Read 3 more answers