Answer:

9514 1404 393

**Answer:**

(1/120 mile/min)(60 min/h)(3 h)

1.5 mile

the increase in depth after 3 hours

**Step-by-step explanation:**

The rate is given in terms of miles per minute. To find the elevation after 3 hours, we need a conversion from minutes to hours. One possible product is ...

** (1/120 mile/min)(60 min/h)(3 h)**

The value of this product is ...

(1·60·3)/(120·1·1) mile = **1.5 mile**

The value represents **the increase in depth after 3 hours**.

Answer:
### Final answer:

### Explanation:

### Learn more about Rational Numbers here:

The product of three rational numbers is 1.5, which represents the change in the submarine's elevation after 3 hours.

To represent the change in the submarine's elevation after 3 hours, we need to find the product of the descent rate per minute and the total number of minutes in 3 hours. The descent rate per minute is 1/120 mile, and there are 60 minutes in an hour. So, the product is:

**(1/120) * (60 * 3)**

Simplifying the expression:

**(1/120) * 180 = 1.5**

The value of the product, 1.5, represents the total change in the submarine's elevation after 3 hours. Since the submarine is descending, the elevation decreases by 1.5 miles.

#SPJ3

Call a household prosperous if its income exceeds $100,000. Call the household educated if the householder completed college. Select an American household at random, and let A be the event that the selected household is prosperous and B the event that it is educated. According to the Current Population Survey, P(A)=0.138, P(B)=0.261, and the probability that a household is both prosperous and educated is P(A and B)=0.082. What is the probability P(A or B) that the household selected is either prosperous or educated?

Sharon has a new beaded necklace. 72 out of the 80 beads on the necklace are blue. Whatpercentage of beads on Sharon's necklace are blue?Write your answer using a percent sign (%).

An attacker at the base of a castle wall 4 m high throws a rock straight up with speed 7.5 m/s from a height of 1.5 mabove the ground.(a) Will the rock exceed the top of the wall?(b) If so, what is its speed when it reaches the top of the wall? Page 4 of 74(c) If we don’t want the stone to exceed the top of the wall (we want the top of the wall to be the maximum height)what the initial speed that the stone must have?

During an experiment, Aika measured the time it took for a ball to roll down a ramp set at an angle. She measured that it took 1.010 seconds. The exact time it should take based on calculations is 0.904 seconds. What was her experimental error?

F3 + 11g - 4h when f=3 g=2 h=7

Sharon has a new beaded necklace. 72 out of the 80 beads on the necklace are blue. Whatpercentage of beads on Sharon's necklace are blue?Write your answer using a percent sign (%).

An attacker at the base of a castle wall 4 m high throws a rock straight up with speed 7.5 m/s from a height of 1.5 mabove the ground.(a) Will the rock exceed the top of the wall?(b) If so, what is its speed when it reaches the top of the wall? Page 4 of 74(c) If we don’t want the stone to exceed the top of the wall (we want the top of the wall to be the maximum height)what the initial speed that the stone must have?

During an experiment, Aika measured the time it took for a ball to roll down a ramp set at an angle. She measured that it took 1.010 seconds. The exact time it should take based on calculations is 0.904 seconds. What was her experimental error?

F3 + 11g - 4h when f=3 g=2 h=7

(–6, –2)

(–6, –3)

(–3, –6)

**Step-by-step explanation:**

the first one -2,-6 .......

5/8 divided by 1/24 =

**Answer:**

The answer to this question is **15**.

**Step-by-step explanation:**

We know that dividing a fraction by another fraction is the same as multiplying a fraction by the other fractions reciprocal, where the numerator and denominator are switched.

5/8 ÷ 1/24 =

5/8 x 24/1 =

120/8

120 ÷ 8 = 15.

Hence, the answer to this question is **15**.

Hope this helps! :D

__ Final Answer:__

**15**

__Step-by-step explanation:__

5/8 ÷ 1/24

5/8 ÷ 24/1

5/8 × 24/1 = 120/8

120/8 ⇒ 15/1 ⇒ **15**

**Answer: 1/2**

**Step-by-step explanation:**

Kim ate 2/5 which is also equal to 4/10 and Courtney has eaten 1/10

4/10 + 1/10 = 5/10 = 1/2

There are two ways of doing this

3y x 3y

Or

9y

3y x 3y

Or

9y

" ^ " indicates exponentiation. " ^2 " indicates squaring, or multiplying the base by itself. Thus, w^2 is the same as w times w.

What is (3y) times (3y)?

What is (3y) times (3y)?

1/2 + 2/5=

**Answer:**

9/10 or 0.9

**Step-by-step explanation:**

1/2 + 2/5 =

1 × 5 + 2 × 2/2 × 5

5 + 4 = 10

**9/10 ****or 0.9**

__I____n____F____r____a____c____t____i____o____n____=____9/10__

__I____n____D____e____c____i____m____a____l____=____0____.____9__

**T****h****u****s****,**The answer is **9/10**** or 0.9**

**-**__T____h____e____U____n____k____n____o____w____n____S____c____i____e____n____t____i____s____t__

**Answer:**

9/10 or 0.9.

**Step-by-step explanation:**

1/2 + 2/5 =

5/10 + 4/10 =

5 + 4/10 =

9/10

**Answer:**

**1.** Due to the lower standard deviation, it is more likely to obtain a sample of females within $10,000 of the population mean

**2. **15.87% probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean

**Step-by-step explanation:**

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

**Normal probability distribution**

When the distribution is normal, we use the z-score formula.

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

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.

**Central Limit Theorem**

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

**1. In which of the preceding two cases, part a or part b, do we have a higher probability of obtaining a smaple estimate within $10,000 of the population mean? why?**

The lower the standard deviation, the less dispersed the values are, meaning it is more likely to find values within a certain threshold of the mean.

So

Due to the lower standard deviation, it is more likely to obtain a sample of females within $10,000 of the population mean.

**2. What is the probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean?**

We have that:

This probability is the pvalue of Z when X = 168000 - 4000 = 164000. So

By the Central Limit Theorem

has a pvalue of 0.1587

15.87% probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean

1. We have a higher **probability** of obtaining a sample estimate within $10,000 of the population mean when the standard deviation is smaller. In this case, the standard deviation for female graduates is smaller, so the probability is higher. 2. The probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean can be calculated using the z-score formula and the z-table.

1. In the case where the **standard deviation** is smaller, we have a higher probability of obtaining a sample estimate within $10,000 of the population **mean**. This is because a smaller standard deviation indicates less **variability** in the data, making it more likely for the sample mean to be closer to the population mean. In this case, the standard deviation for female graduates is smaller, so the probability is higher.

2. To calculate the probability, we need to calculate the **z-score** and then use the z-table. The z-score formula is z = (x - μ) / (σ / sqrt(n)), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size. Plugging in the given values, we find the z-score and use the z-table to find the probability.

Learn more about **Probability** here:

#SPJ3