4 m

5 m

6 m

Answer:
S = 2lw + 3lh + 2wh

94 = 2(3)(4) + 2(3)(h) + 2(4)(h)

94 = 2(12) + 2(3h) + 2(4h)

94 = 24 + 16h + 8h

94 = 24 + 14h

- 24 - 24

70 = 14h

14 14

5 = h

The answer is C.

94 = 2(3)(4) + 2(3)(h) + 2(4)(h)

94 = 2(12) + 2(3h) + 2(4h)

94 = 24 + 16h + 8h

94 = 24 + 14h

- 24 - 24

70 = 14h

14 14

5 = h

The answer is C.

Answer:

**Answer: answer is C**

**Step-by-step explanation:**

What angle during the first revolution will have the same sin value as 20.5 degrees? Enter only a number.

A mountain bike costs $675. If the sales tax is 8%, find the total cost of the bike. Round to the nearest cent, ifnecessary

Some parts of California are particularly earthquake- prone. Suppose that in one metropolitan area, 25% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random; let X denote the number among the four who have earthquake insurance. a. Find the probability distribution of X. [Hint: Let S denote a homeowner who has insurance and F one who does not. Then one possible outcome is SFSS, with proba bility (.25)(.75)(.25)(.25) and associated X value 3. There are 15 other outcomes.] b. Draw the corresponding probability histogram. c. What is the most likely value for X

14V + 5 − 5V = 4(V + 15)

What is the inequality solution for y+2<4

A mountain bike costs $675. If the sales tax is 8%, find the total cost of the bike. Round to the nearest cent, ifnecessary

Some parts of California are particularly earthquake- prone. Suppose that in one metropolitan area, 25% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random; let X denote the number among the four who have earthquake insurance. a. Find the probability distribution of X. [Hint: Let S denote a homeowner who has insurance and F one who does not. Then one possible outcome is SFSS, with proba bility (.25)(.75)(.25)(.25) and associated X value 3. There are 15 other outcomes.] b. Draw the corresponding probability histogram. c. What is the most likely value for X

14V + 5 − 5V = 4(V + 15)

What is the inequality solution for y+2<4

**Title:**

**Step-by-step explanation:**

It is given that, if 100 persons book their seats, then only 88 passengers come.

The **probability of 1 passenger to come** is = 0.88.

There will not be enough seats only when, 331 or more than 331 passengers will come.

The probability of 1 passenger will not come is (1 - 0.88)= 0.12.

Out of 354 passengers the **probability that n passengers will come** is .

The **required probability** is ∑, where .

Required:

a. Convert this to an exponential function using base e.

b. Verify that the original function and the result from part (a) yield the same result for Q(0), Q(1620), and Q(3240).

**Answer:**

**(a)**

**Step-by-step explanation:**

We are given that

Half life of radium-226=1620 yr

The quantity left Q(t) after t years is given by

a. We have to convert the given function into an exponential function using base e.

=

=

**=**

(b)

**=1**

From original function

**Q(0)=1**

From exponential function

**Q(3240)=0.249=**

Hence, verified.

**Answer:**

34.64 ft

**Step-by-step explanation:**

Distance from the building = 20 ft

Angle of inclination = π/3 radians

**The tangent of the angle of inclination must equal the height of the building divided by the distance of the observer from the building:**

**The building is 34.64 ft tall**

**Answer:**

2 remainder 5 ily

**Step-by-step explanation:**

Juan is applying basic statistical principles in a chemistry laboratory by reviewing the standard deviation of the lab measurements and repeating his measurements multiple times to find a more accurate mean. The more Juan repeats his measurements, the closer he gets to a normal distribution or an accurate mean as per the central limit theorem.

In this chemistry laboratory scenario, you're dealing with a situation in **statistics** known as repeated measurements. Essentially, you are considering the standard deviation of the lab measurements, which is a typical measure of the dispersion of a set of values. The **standard deviation** is denoted by σ, and it is given as 10 milligrams.

When Juan repeats the measurement 4 times and records the mean of his measurements, he's using another common measure of central tendency, the arithmetic mean.

According to the central limit theorem in statistics, the distribution of the mean of a large number of independent, identically distributed variables will be approximately normal, regardless of the underlying distribution. In this case, as Juan repeats his measurements, the mean of these measurements is likely to be more accurate (closer to the true value) than a single measurement.

#SPJ6

The **standard **deviation a measure of dispersion in a data set, lower values indicating data points closer to the mean of the data set, and higher values indicating a wide range of the data points. The scenario discusses the calculation of standard deviation for repeated measurements, with the standard error calculated as the original standard deviation divided by the square root of the number of measurements.

The subject matter of the question pertains to statistical concepts, primarily the standard deviation. In statistics, the standard deviation is a measure of the amount of variation or dispersion in a data set. A low standard deviation indicates that the data points tend to be close to the mean of the data set, while a high standard deviation indicates that the data points are spread out over a wider range.

In the scenario provided, Juan makes a measurement in a chemistry lab and the standard **deviation **of the students' lab measurements is 10mg. He repeats the measurement 4 times and records the mean of his 4 measurements. When you repeat a measurement multiple times and take the mean, the standard deviation of the mean tends to be smaller than the standard deviation of the individual measurements. In statistical terms, the standard deviation of the mean, also known as the standard error, is given by the original standard deviation σ divided by the square root of the number of measurements n. In this case, n is 4, so the standard error would be σ/√n = 10mg/√4 = 5mg.

#SPJ11

**Answer:**

10.8 yards

**Step-by-step explanation:**

Since she has 19.7 yards left over, the amount she used for curtains is ...

84.5 - 19.7 = 64.8 . . . . yards

Then each of the 6 identical curtains used 1/6 of this amount, or ...

(64.8 yards)/6 = **10.8 yards**

_____

You can write an equation if you like. Let c represent the yardage used for each curtain. Then the total number of yards of fabric Jennifer has is ...

6c +19.7 = 84.5

We can find the value of c by subtracting 19.7, then dividing by 6 (as above).

6c = 64.8 . . . . subtract 19.7

c = 10.8 . . . . . divide by 6

**Jennifer used 10.8 yards of fabric per curtain**.