What is ½ (2x + 5) + 6(5y + 2x + 2)

Answer:

0.97547

Step-by-step explanation:

Given That:

Mean (m) = 102

Standard deviation (σ) = 12

Sample size (n) = 63

Probability that sample mean would differ from Population mean by less than 3.4 watts

P(m - s < X < m + s)

P(102 - 3.4 < Z < 102 + 3.4)

Using the Z formula :

Zscore = (x - m) / (σ/√n)

x = 102 - 3.4 = 98.6 ; x = 102 + 3.4 = 105.4

Z = (98.6 - 102) / (12/√63) = −2.248888

P(Z < - 2.2488) = 0.012263 (Z probability calculator)

Z = (105.4 - 102) / (12/√63) = 2.2488886

P(Z < 2.2488) = 0.98774 (Z probability calculator)

0.98774 - 0.012263 = 0.97547

The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.

To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30

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f=  p2−10

over −6r2+t

Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

Solution

37. The numerical coefficient of 3axy. The numerical coefficient is simply the number that multiplies the variables. In this case that is 3.

Answer: 3

38. The number of terms in a trinomial

Answer: There are 3 terms in a trinomial

39. Write xxxyy using exponents.

Answer: x³y²

40. Write 6 less than x.

Answer: 6 < x

41. Write the factors of 3xy.

The factors of 3xy are the numbers that when multiplied together, give us 3xy. Thus, the factors of 3xy are:

Answer: 1, 3, 3x, 3y, x, y, xy, 3xy

Answer:

3(x-6)=3x-18

Step-by-step explanation:

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer:

Let

the breadth =x

As we know that in a rectangle

\({\boxed{\sf Area=lb}}\)

\({:}\longrightarrow\)\(\sf 86\times x=6536\)

\({:}\longrightarrow\)\(\sf 86x=6536 \)

\({:}\longrightarrow\)\(\sf x={\dfrac{6536}{86}}\)

\({:}\longrightarrow\)\(\sf x=76 \)

\(\therefore\)\(Breadth=76m \)

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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Answer:

6x - 3 = 3(x + 2)

Step-by-step explanation:

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

7/3 or 21/9 or 2.3 repeated

Step-by-step explanation:

Answer: 7/3

Step-by-step explanation

\(\frac{7}{9}/\frac{1}{3} = \frac{7}{9}*\frac{3}{1}= 21/9=7/3\)

Keep change flip. Keep 7/9 change multiply to divide flip 1/3 to 3.

Answer: 80

Step-by-step explanation:

⇒  −(8 − 12) + 60 + (−4)²

⇒ -(-4) + 60 + 16

⇒ 4 + 60 + 16

⇒ 80

Answer:   5/18

=============================================

Explanation:

A = number of times we get 5 on the first die

B = number of times we get a sum of 6.

Refer to the sum of dice chart below. This chart represents every possible sum of two dice (eg: 1+1 = 2 in the top left corner or 6+6 = 12 in the bottom right corner).

Let's say the blue die is the first of the pair.

Locate 5 on the blue die and notice there are 6 occurrences when this happens. This corresponds to the 6 other possibilities for the red die. So we have A = 6.

Also notice how there are 5 occurrences of the sum "6" in the table. So B = 5.

We have A+B = 6+5 = 11 occurrences of either the first die is 5 or the sum is 6. However, we have to subtract off 1 because we double counted "6" when adding A and B.

So in reality we have 11-1 = 10 times this happens.

This is out of 36 total ways to roll two dice.

Therefore, the probability we want is 10/36 = 5/18

The probability of the following event. The first die is 5 or the sum is 6 would be 10/36 = 5/18

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

Let's say the blue die is the first of the pair.

A = number of times we get 5 on the first die

B = number of times we get a sum of 6.

Now Locate 5 on the blue die and notice there are 6 occurrences when this happens which corresponds to the 6 other possibilities for the red die. So we have A = 6.

Also,there are 5 occurrences of the sum "6" in the table. So B = 5.

We have A+B = 6+5 = 11 occurrences of either the first die is 5 or the sum is 6.

However, we have to subtract off 1 because we double counted "6" when adding A and B.

So in reality we have 11-1 = 10 times this happens.

This is out of 36 total ways to roll two dice.

Therefore, the probability of the following event.

The first die is 5 or the sum is 6 would be 10/36 = 5/18

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1.25 is the probability that the aircraft Will last 100 hours.

The area of mathematics described as probability concerns with numerical representations of the likelihood that an event will occur or that an assertion is correct. An event's probability is a number between 0 and 1, where, roughly speaking, 0 indicates the event's impossibility and 1 represents certainty. 

Given Data

Mean = 80

Standard deviation = 16

P( x < 100)

P( x < 100) = P( Z< \(\frac{x- mean}{standard deviation}\))

P(x<100 ) = P( Z < \(\frac{100-80}{16}\))

P(x< 100) = P(Z< \(\frac{20}{16}\))

P(x < 100) = 1.25

1.25 is the probability that the aircraft Will last 100 hours.

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Answer:

  2

Step-by-step explanation:

You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.

The slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.

  slope = rise/run = 2/1 = 2

The slope of DC is 2.

<95141404393>

        Thanks for reposting the pertinent question:

        Therefore the SLOPE of DC:

         DC  =   2

        POINTS:  D, C, B, and A  are COLLINEAR

       SLOPE of:  DC  is  Equal (=)  To the SLOPE  of: AB

       AB  =   2/1   =  2

       Therefore the SLOPE of DC:

       DC  =   2

I hope this helps you!

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

Answer:

160 books

Step-by-step explanation:

To find the total amount of something, when given the percent and how much value the percent is, use this

\(Total = \frac{Number*100}{Percent}\)

This way we get:

\(Total = \frac{24*100}{15} = \frac{2400}{15} = 160\)

Hope this answer helped! :)

Answer:

4:1

Step-by-step explanation:

So, although the ratio 8:2 is technically correct, it is not in its simplest form. To get it into its simplest form you need to find the largest multiplying factor that is the same for both numbers. In this case, 2 is the largest factor because it goes into both 2 and 8. Now, you need to divide the entire ratio by 2 the reach the simplest form, so 8 divided by 2 equals 4, and 2 divided by 2 equals 1. This gives us our final ratio of 4:1.

Answer:

1 \(\frac{11}{12}\)

Step-by-step explanation:

Answer:

2401

Step-by-step explanation:

2x³+4x²+1                                      x = 10

2(10)³ + 4(10)² + 1

2(1000) + 4(100) + 1

2000 + 400 + 1

2401

Answer:

y= 11x

Step-by-step explanation:

find the slope: 22-11/2-1= 11/1 or 11

To find the y-intercept you can use the slope by subtracting 11 (inverse operation) from the y value of (1,11). So the y- intercept is (0,0). To write the equation plug in 11 for m and 0 for b. Since 0 has no value the equation would be y= 11x

The percentage rate of change per day is approximately 0.1932%.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To represent the number of users on the website after t years, we can use the exponential growth formula:

\(N_t = N_0 \times e^{rt}\)

where \(N_0\) is the initial number of users, r is the growth rate, and t is the time in years.

Given that \(N_0\) = 6300 and the growth rate is 73%, or 0.73, per year,

The function is:

\(N_t = 6300 \times e^{0.73t}\)

To find the percentage rate of change per day, we can use the formula:

\(r = (e^{0.73/365} - 1) \times 100%\)

where 0.73/365 is the daily growth rate.

Solving for r, we get:

\(r = (e^{0.73/365} - 1)\) x 100%

r ≈ 0.1932%

Therefore,

The percentage rate of change per day is approximately 0.1932%.

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Answer:

66 square feet

Step-by-step explanation:

please review the attachment for a detailed explanation

Answer:

138 square centimeters

Step-by-step explanation:

You can find the area by splitting up the shape into pieces and adding it all together, and you get 138 square centimeters.

Answer: ask ggle it gives you the answer

Step-by-step explanation:

Answer:

5⁴

Step-by-step explanation:

625= 5×5×5×5

Answer:

(x, y)

(-1,0)

since the rest of the points aren't in the multiple choice well it's (-1,0)

The solution is :  the correct option is (B) (-1, 0), is an x-intercept of the graphed function.

Here, we have,

We are given to find the x-intercepts of the graphed function.

We know that

x-intercepts of a function are the points on the X-axis through which the graph of the function is crossing.

From the graph, we see that

the curve is crossing the X-axis at the points (-2, 0) and (-1, 0) .

Therefore, the x-intercept of the given function is (-1, 0).

Option (B) is CORRECT.

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Answer:

x intercept is (-40,0)

y intercept is (0,15)