Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale.
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Captionless Image
1209 m^2
790 m^2
1125 m^2
898 m^2

Answer:

Step-by-step explanation:

Hey there!

Given;

(1-tan^2a) + (1+tan^2a)= 2

LHS:

=(1-tan^2a)+(1+tan^2a)

Remove brackets.

=1-tan^2a + 1 +tan^2a

Cancel "tan^2a" and "-tan^2a"

= 1+1

= 2

RHS proved....

Hope it helps...

The probability of drawing no defective pens from a sample of 6 is 0.5314. The probability of drawing 5 or 6 defective pens is 0.0000064. The probability of drawing less than 3 defective pens is 0.9726.

To find the probability of drawing no defective pens, we calculate the probability of drawing a non-defective pen (0.9) raised to the power of 6 (since we are drawing 6 pens): 0.9^6 ≈ 0.5314.

To find the probability of drawing 5 or 6 defective pens, we calculate the probability of drawing a defective pen (0.1) raised to the power of 5 (for 5 defective pens) or 6 (for 6 defective pens), multiplied by the probability of drawing a non-defective pen (0.9) raised to the power of 1 or 0, respectively: (0.1^5 * 0.9) + (0.1^6) ≈ 0.0000064.

To find the probability of drawing less than 3 defective pens, we calculate the sum of the probabilities of drawing 0, 1, or 2 defective pens: (0.9^6) + (6C1 * 0.1 * 0.9^5) + (6C2 * 0.1^2 * 0.9^4) ≈ 0.9726.

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Answer:

BC = 1 \(\frac{1}{5}\)

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{BC}{EF}\) = \(\frac{AB}{DE}\) ( substitute values )

\(\frac{BC}{4}\) = \(\frac{\frac{3}{4} }{\frac{5}{2} }\) ( 2 \(\frac{1}{2}\) = \(\frac{5}{2}\) )

cross- multiply

\(\frac{5}{2}\) BC = 4 × \(\frac{3}{4}\) = 3 ( multiply both sides by 2 to clear the fraction )

5 BC = 6 ( divide both sides by 5 )

BC = \(\frac{6}{5}\) = 1 \(\frac{1}{5}\)

Answer:

d) 76

Step-by-step explanation:

there are 180 degrees inside a triangle

so, 40+(3x+10)+(2x+20) = 180

combine 'like terms' to get:

5x + 70 = 180

subtract 70 from each side to get:

5x = 110

divide each side by 5:

x = 22

m∠BCA = 3(22)+10

= 66+10

= 76°

Answer:

68

Step-by-step explanation:

3x20=60-4x-2 =           4x-2=-8  60-{ -8}= 68

Identifying  the first term and common difference and writing a recursive rule:

a. an = an-1 - 5, n > 1

b.  an = an-1 + 12, n > 1

a) The first term is 1 and the common difference is -5. To write a recursive rule for this sequence, we can use the formula:

an = an-1 + d

where an is the nth term of the sequence, an-1 is the (n-1)th term, and d is the common difference.

Using this formula, we get the recursive rule:

a1 = 1

an = an-1 - 5, n > 1

b) The first term is 11 and the common difference is 12. To write a recursive rule for this sequence, we can use the same formula as above:

an = an-1 + d

Using this formula, we get the recursive rule:

a1 = 11

an = an-1 + 12, n > 1

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The probability that more than 50 inspections are required before one with the defect is found is very low , approximately 1.05 x 10^-9.

We can use a geometric distribution to model the number of cars that need to be inspected before one with the defect is found. Since the probability of finding a car with the defect is p = 0.4, the probability of not finding a car with the defect on a given inspection is q = 1 - p = 0.6.

Let's define the random variable X as the number of inspections required until one with the defect is found. The PMF of the geometric distribution is:

P(X = k) = q^(k-1) * p

where k is the number of inspections required.

To find the probability that more than 50 inspections are required, we need to calculate the cumulative probability:

P(X > 50) = Σ(k=51 to ∞) P(X = k)

Using the PMF of the geometric distribution, we get:

P(X > 50) = Σ(k=51 to ∞) q^(k-1) * p

This sum can be simplified using the formula for the sum of an infinite geometric series:

P(X > 50) = q^50 * p / (1 - q)

Substituting in the values of p = 0.4 and q = 0.6, we get:

P(X > 50) = 0.6^50 * 0.4 / 0.4 = 0.6^50

Using a calculator or software, we can calculate that this probability is approximately 1.05 x 10^-9, which is a very small probability.

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Complete question is:

Of the automobiles produced at a particular plant, 40% had a certain defect. what is the probability that more than 50 cars will need to be inspected before one with the defect is found?

Step-by-step explanation:

1\5 ÷3/7=7/15

3/7 multiply by 7/15=1/5

The 20% off of Jeremy's purchases is $5.50.

What is discount?

Discount is a noun that designates a sum or a portion taken off of a product's suggested retail price. Check to see if you really need all of that stuff before waiting until after the holiday to buy it. A good or service's price being reduced is referred to by the noun discount.

Given:

Jeremy has a 20%-off coupon for his purchases at a store.

His total purchases are $27.50 without the coupon.

We have to find the 20% off (discount) of Jeremy's purchases.

The 20% off on $27.50 is.

$27.50 x 20% = $27.50 x 0.20 = $5.50

Hence, the 20% off of Jeremy's purchases is $5.50.

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"Financial" as it is not an effectiveness MIS metric.

To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.

Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.

Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.

Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.

Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.

Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.

In summary, the answer is "Financial" as it is not an effectiveness MIS metric.

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Evaluating the function as simplified expression, we have:

A. f(x + 1) = 7x + 7 - 3

B. f(-x) = -7x - 3

To state the simplified form of each of the given functions in descending order, implies that we are to leave our answer in the standard form.

A. f(x + 1) = 7(x + 1) - 3

Apply the distributive property

f(x + 1) = 7(x) + 7(1) - 3

f(x + 1) = 7x + 7 - 3

Combine like terms

f(x + 1) = 7x + 4 [descending order/standard form]

B. f(-x) = 7(-x) - 3

Simplify

f(-x) = -7x - 3 [descending order/standard form]

Therefore, evaluating the function as simplified expression, we have:

A. f(x + 1) = 7x + 7 - 3

B. f(-x) = -7x - 3

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The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).

To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.

Substitute 0 for y in the equation.0 = 3x - 1

Add 1 to both sides1 = 3x

Divide both sides by 3x = 1/3

The x-intercept of the line is (1/3, 0).

To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.

Substitute 0 for x in the equation.y = 3(0) - 1y = -1

The y-intercept of the line is (0, -1).

Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).

Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.

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Answer:

432,690 mi I think

Answer:

432,690 miles

Answer:

the scale factor would be .75 or 3/4

Step-by-step explanation:

Answer:

the answer is .75

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Since there is an absolute value, the answer must be positive. Multiply 2 by 8 since two negatives equal a positive. So, |15-47 + 9 - 8 -17|. Then add and subtract to get the answer. -32 + 9 - 8 -17 = -48. |-48| = 48

Answer: 50

Step-by-step explanation:

Answer:

Step-by-step explanation:

So first, do 10 x 2 equal now add the 10 plus 10 that is two times so that =

20 so then the answer for 10 time 2 = 20

the answer for this is 20

Answer:

a=75

b=70

c=110

d=105

e=110

f=105

Step-by-step explanation:

Answer:

what's your Questions ?

The translation rule (x + 7, y - 19) has the meaning given as follows:

The four translation rules are defined as follows:

The meaning of each translation in this problem is given as follows:

The problem asks for the meaning of the translation (x + 7, y - 19).

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Answer:

.8?

Step-by-step explanation:

The mean square errors for the three-month and four-month moving average forecasts shown below.

How closely a regression line resembles a set of data points is determined by the Mean Squared Error. It is a risk function that corresponds to the squared error loss's expected value. The average, more particularly the mean, of errors squared from data related to a function is used to determine mean square error.

Given:

According to the Given data we construct a table as

Month   Sales   3- month           4- month      3- month     4- month      

                         moving             moving         squared       squared

                        averages            averages      error           error

1             9.6      

2             9.2

3             9.3

4             9.2     9.367                                        0.111            

5             9.2     9.400                   9.450           0.160        0.123    

6             9.2     9.500                  9.500            0.010        0.140    

7             9.2     9.733                   9.625            0.001         0.006  

8             9.2     9.733                   9.725            0.751          0.776  

9             9.2     10.000                 9.950           0.010           0.002  

10            9.2     10.067                  9.975            0.218          0.141  

11             9.2     10.033                   9.950          0.401           0.322

12            9.2     9.633                   9.975             0.004          0.031

13                       9.567                 9.650    

                                                        MSE             0.185            0.176

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The anchor was released from a height of 72.5 meters above the water's surface

We are given the rate at which the anchor is dropping (2.5 meters per second), the time it took to reach 40 meters below the water (45 seconds), and we need to find the initial height of the anchor above the water's surface.

Step 1: Calculate the distance the anchor traveled during the 45 seconds.
Distance = Rate × Time
Distance = 2.5 meters/second × 45 seconds
Distance = 112.5 meters

Step 2: The anchor is now 40 meters below the water, so it has traveled 40 meters below the water's surface plus the initial height above the water's surface.
Total Distance = 112.5 meters = Distance below water + Initial height above water
112.5 meters = 40 meters + Initial height above water

Step 3: Solve for the initial height above the water's surface.
Initial height above water = 112.5 meters - 40 meters
Initial height above water = 72.5 meters

So, the anchor was released from a height of 72.5 meters above the water's surface.

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The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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The probability that both darts will land on the shaded region is given as follows:

(3x² + 3x)²/(12x² + 16x + 4)²

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width.

Hence the area of the shaded region is given as follows:

3x(x + 1) = 3x² + 3x.

The total area is given as follows:

(2x + 2)(6x + 2) = 12x² + 16x + 4.

Hence, for a both darts, the probability of landing on the shaded region is given as follows:

(3x² + 3x)/(12x² + 16x + 4) x (3x² + 3x)/(12x² + 16x + 4) = (3x² + 3x)²/(12x² + 16x + 4)²

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Answer:

Step-by-step explanation:

2  *  2 *  3    0 − 1  2    2   * 3 4 −  3

The graph of the first five terms can be seen in the image at the end.

We know that we have an arithmetic sequence:

3, -10, -23, -36

The common difference is what we get when we subtract two consecutive terms, we will get:

d = -36 - (-23) = -3

Then the recursive relation is:

a(n) = a(n - 1) - 13

At the moment we know:

a(1) = 3

a(2) = -10

a(3) = -23

a(4) = -36

Then fifth term will be:

a(5) = a(4) - 13 = -36 - 13 = -49

Now to graph it, we use the "n-th" value as the input, then we need to graph the five points (1, 3), (2, -10), (3, -23), (4, -36), (5, -49).

The graph can be seen in the image below:

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