subtract 2a-3b from b-a

The probability that a set of all bulbs work is 0.88.

The total probability rule (also known as the Law of Total Probability) divides probability calculations into discrete steps.

Now, as per the question;

The total number of bulbs be 120 and each bulb is working as independent event.

The reliability of each bulb is 99.9% = 0.999

Let 'p' the probability the bulb will work.

The probability that all will work = p¹²⁰

The probability that all will work = (0.999)¹²⁰ = 0.886

Thus, the probability that all bulb will work is 88.6%.

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The value of x from the given line segment is 5

A line is defined as the shortest distance between two points. From the given line segment, the addition below is true;

NM + ML = NL

Given

NM = 9

ML = 2x-7

NL = x + 7

Substitute to have:

9 + 2x - 7 = x + 7

2x + 2 = x + 7

2x-x = 7 - 2

x = 5

Hence the value of x from the given line segment is 5

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1/2 is the likelihood of rolling an odd or even number in probability.

What is probability and how is it calculated?

The event "rolling an odd number" contains three outcomes. There are 6 equally likely outcomes in the sample space. Divide to find the probability of the event.

  P(E) = 3/9 = 1/2

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Answer: GoodMorning: )✨Ok so We should Know that The top number in a fraction is always considered a numerator, and that It shows the number of parts we have. The bottom number in a fraction is considered a denominator. It shows the total number of parts into which anything is divided. For example, in the fraction 8/7, 8 is the numerator and 7 is the denominator.

Step-by-step explanation:  Like In this fraction 7/3, 7 is the numerator and 3 is the denominator. In the fraction 9/7, 9 is the numerator and 7 is the denominator.The value placed above the horizontal line in a fraction is called a numerator. It signifies the number of parts taken out of the whole. The numeric value below the vinculum of a fraction is called the denominator. It represents the total number of equal parts as a whole. Hope this helps: )

Have A Nice Day: )

Answer:

A numerator is a value on the upper character set of a rational or fraction value and a denominator is the downer

[tex]{ \rm{fraction = \frac{numerator}{denominator} }} \\ [/tex]

For example;

Three quarters

[tex]{ \rm{ = \frac{3}{4} }} \\ [/tex]

3 is numerator and 4 is denominator

The digit 8 in Carla’s number represents 10 times of what the digit 8 represents in Travis’ number.

The number written by Carla = 814,247

The number written by Travis = 683,571

The place value of digits starting from left is ones, ten's, hundreds, thousands, ten thousand, hundred thousand and so on.

As per this sequence of values, we can see that digit 8 in Carla's number is at hundred thousand place value. Also, digit 8 in Travis' number is at ten thousand place value. So, representing these place value in numeral form and finding the number of times one is greater than other.  

Digit 8 in Carla's number: 100,000

Digit 8 in Travis' number: 10,000

Finding the answer -

Value = 100,000 ÷ 10,000

Cancelling common zeroes from numerator and denominator

Value = 10

Hence, digit 8 in Carla’s number represents 10 times of what the digit 8 represents in Travis’ number.

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The correct question is -

Carla wrote this number: 814,247

Travis wrote this number: 683, 571

The digit 8 in Carla’s number represents how many times what the digit 8 represents in Travis’ number?

A. 10

B. 100

C. 1000

D. 1/10

Clyde and Mason are 432 mi apart from each other in distance.

We are given that:

Clyde and mason can each leave a rest area on the Florida turnpike.

Clyde travels north whereas Mason travels south.

After 4 hr., we get that Clyde has gone 248 mi and Mason, due to the heavy traffic he got , traveled only 184 mi.

We need to tell how far are they from each other.

We will do this by addition.

Distance = 248 mi + 184 mi

Distance = 432 mi.

Therefore, we get that, Clyde and Mason are 432 mi apart from each other in distance.

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Batting common is the the wide variety of runs scored via way of means of the batsman withinside the wide variety of fits performed via way of means of him in that supply weeks Walk to strike out is the wide variety of wickets taken via way of means of the sports activities character withinside the wide variety of fits performed via way of means of him in that week Home runs are the house run hit via way of means of that participant in that 5 weeks throughout which the sports activities creator cited these types of happenings

The number of hits A got is 186 hits.

​A player's batting average is calculated by dividing the number of hits by the number of at-bats.

Player A batting average =  0.312

Number of at-bats A did =  596

We have to find the number of hits A got.

0.312 = Number of hits / 596

Number of hits = 0.312 x 596

                        = 185.952 hits.

Rounding to a whole number we get,

= 186 hits

Thus, the number of hits A got is 186 hits.

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The option that correctly ranks the three boys in order from lowest to highest average speed is:

The average speed calculated is obtained by dividing the total distance covered by the total time taken. That said, we will obtain the average speeds for each of the boys as follows:

Terri = 3.95 km/48 min

= 0.082 km/min

Aaron = 2.65 km/31 min

= 0.085 km/min

Jamal = 6.50 km/81 min

= 0.080 km/min

When the results are obtained from lovwest to highest we will have:

0.080, 0.082, 0.085 which represent the figures for Jamal, Terri, Aaron.

Complete Question:

Terri, Aaron, and Jamal all walked along straight paths. Terri walked 3.95 km north in 48 min. Aaron walked 2.65 km west in 31 min. Jamal walked 6.50 km south in 81 min. Which of the following correctly ranks the three boys in order from lowest to highest average speed?

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According  to the given data the slope mpq of the secant line pq  for the following values of x are :

The slope is defined as the proportion of both the vertical difference of two points, known as the rise, towards the horizontal change between those same two points, known as the run.

Calculate the values of two line points. Determine the difference in y-coordinates between these two locations (rise). Calculate the x-coordinate distinction between these two locations (run). Divide the x-coordinate variation (rise/run or slope) by the y-coordinate difference.

Slope(m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

so,

m for x

3.333333 for 2.9

3.030303 for 2.99

3.003003 for 2.999

3.00030003 for 2.9999

2.727272 for 3.1

2.90297 for 3.01

2.997002 for 3.001

2.999700 for 3.0001

this shows that the  slope m for the required x.

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I understand that the question you are looking for is:

The point P(3, −3) lies on the curve y = 3/(2 − x).

If Q is the point (x, 3/(2 − x)), use your calculator to find the slope m PQ of the secant line PQ (correct to six decimal places) for the following values of x.

i. 2.9 =

ii 2.99 =

iii. 2.999 =

iv.2.9999 =

v. 731

vi. 3.01

vii. 3.001

viii. 3.0001

a. Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(3,-3)

b. Using the slope from part (b), find an equation of the tangent line to the curve at P(3,- 3).

Answer:

29

Step-by-step explanation:

6C - B substitute in 6 for C and 7 for B

6(6) - 7

36 - 7

29

Answer:

Step-by-step explanation:

200/250 =0.8

25.5x0.8 =20.4

answer=20.4

Answer:

343.

Step-by-step explanation:

nice :)

The product of 3 and 7 is 21.

The product of two numbers is the result you get when you multiply the  numbers together.

Given are two numbers, 3 and 7.

When we multiply 3 to 7 we get 21,

Mathematically, it can be expressed as,

3x7 = 21

Hence, The product of 3 and 7 is 21.

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Answer:

the side of a cube is 5 cm.

Total surface area of cube =6× (side)

2

=6×5×5

=150

∴ The total surface area of cube is 150 cm

2

Step-by-step explanation:

Sorry I I don't have much time to answer the rest

The numerical value in this sentence, "the average price of a house in the new subdivision is $257,000" describes a Population Parameter.

A population parameter is a figure that describes a fact about a whole population. In this sentence, we can see that the figure quoted is representative of an entire population. A sample statistic, on the other hand, describes something about a part of a population.

So, for the statement above, we can see that the average price is representative of all the houses in the new subdivision. Thus, the figure is a population parameter.

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Mother spent (4r - 8) dollars more on cherries than did the father.

An expression using numbers and related operations is called a numerical expression.

According to the question, a pound of cherries costs $4.

Mom purchased r pounds.

The price of the cherry is calculated as follows: 4r = weight x $/lb.

Father purchased 2 pounds, thus the price of the cherries is 4 (2), or $8.

We remove the smaller value from the higher value, which is 4r - 8, where r must be more than two. Given that the mother spent more money on cherries than the father, the mother's cost of cherries is a greater value.

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Answer:

crying -adjective. mending -noun. envying -verb.

Step-by-step explanation:

since an adjective is a word naming an attribute of a noun, the word cry is a noun and so the action being carried out "crying" is an adjective.

a noun is a word used in identifying a person, place or thing. and mending is a... you get the idea?

For a real number a, a + 0 = a: TRUE

For a real number a, a + 0 = a:

Therefore, the statement "for a real number a, a + 0 = a" is TRUE.

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Answer: 4==> D

Step-by-step explanation:

b=1

|2b-5|+1=

|2(1)-5|+1=

|2-5|+1=

|-3|+1=       ==> Absolute value equations are always positive: |-x|=x, not -x.

3+1=4==> D

Answer:

Step-by-step explanation:

D 4

Answer:

1/3 is a repeating decimal. 0.33333....

7/12 is a repeating decimal 0.5834....

1/5 is a terminating decimal 0.5

5/8 is a terminating decimal 0.625

2/9 is a repeating decimal 0.2222......

Step-by-step explanation:

Hope it helps! =D

Answer:

1/3 is a repeating decimal

7/12 is a repeating decimal

1/5 is a terminating decimal

5/8 is a terminating decimal

2/9 is a repeating decimal

The prediction method Linear Extrapolation is the method used to estimate a point on a line when the point does not lie between the given points.

Using the equation of a line to obtain a new data point based on an existing collection of data points is known as linear interpolation in mathematics.

Now,

Since it employs a linear model to forecast the necessary point that does not reside between the given locations, this prediction technique is known as linear extrapolation.

Hence, The prediction method Linear Extrapolation is the method used to estimate a point on a line when the point does not lie between the given points.

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Answer:

  21

Step-by-step explanation:

You want the value of the expression 2f(-3)-f(4), given that f(x) = 3x²-x+ 5.

A function is evaluated by putting the argument where the variable is, and simplifying the result. Polynomials are often easier to evaluate if they are written in Horner form.

  f(x) = 3x² -x +5

  f(x) = (3x -1)x +5

The values we need are ...

  f(-3) = (3(-3) -1)(-3) +5 = (-10)(-3) +5 = 35

  f(4) = (3(4) -1)(4) +5 = (11)(4) +5 = 49

Then the expression of interest has the value ...

  2f(-3) -f(4) = 2(35) -49 = 70 -49

  2f(-3) -f(4) = 21

Answer:

No solution

Step-by-step explanation:

You can solve this in a few ways. One way is to graph the equation, and the solution is the x-value of the point of intersection. Another way would be to factor, which is more difficult to complete with a square bigger than 2.

By graphing, you can see a parabola that never touches that x-axis, which means no solution.

Answer:

Step-by-step explanation:

[tex]\lim\limits_{x \to 0} (1+x)^\frac{1}{x} =e\ (the\ second\ remarkable\ limit.)\\\\ \lim\limits_{x \to 0} (1+x)^\frac{1}{x} \approx2.718[/tex]

[tex]4x - 29 = 13 + 6 + 2x - 18 \\ 4x - 2x = 13 + 6 - 18 + 29 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15[/tex]

Answer:

Step-by-step explanation:

13 + 6 + 2x - 18 = 4x - 29

2x + 1 = 4x - 29

1 = 2x - 29

30 = 2x

15 = x

The gas mileeage in miles per gallon is 44.69 miles per gallon

We'll begin by converting 19 Km/L to miles per litres. This can be obtained as follow:

1 Km/L = 0.621371 mile per litre

Therefore,

19 Km/L = (19 Km/L × 0.621371 mile per litre) / 1 Km/L

19 Km/L = 11.806 miles per lire

We can convert 11.806 miles per litre to miles per gallon as follow:

1 mile per litre = 3.78541178 miles per gallon

Therefore,

11.806 miles per litre = (11.806 miles per litre × 3.78541178 miles per gallon) / 1 mile per litre

11.806 miles per litre = 44.69 miles per gallon

Thus, the gas mileage is 44.69 miles per gallon

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The product of the given expression 24.8 × 3.5 is 86.8. option D

Product refers to any operation or a result thereof which generalises multiplication of numbers, like the multiplicative operation in a ring, product of types or a categorical product.

This is also a quantity obtained by multiplication of two or more numbers.

The Multiplication symbol is represented by ( × )

For instance,

24.8 × 3.5

= 86.8

Therefore, the product of the given expression 24.8 × 3.5 is 86.8.

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Answer: x=6

Step-by-step explanation: (x+54)+5x=90 -> 6x+54=90 -> 6x=36 -> x=6

you know it equals 90 because it's on a 180 and there's a right angle.

simplify the equation to 6x+54=90, subtract 54 from 90, and divide by 6 to isolate x.