Suppose that X is an exponentially distributed random variable
with λ=0.35. Find each of the following probabilities:
A. P(X>1) =
B. P(X>0.2) =
C. P(X<0.35) =
D. P(0.18

The equation which can be used to find the value of "x" is "3x = 2x-3", and the value of "x" is x= -3.

In geometry, a "Tangent" to a circle is a straight line that intersects the circle at exactly one point, known as the point of tangency. The tangent line is always perpendicular to the radius of the circle at the point of tangency.

We know that, the two tangent drawn from an "external-point" to the two pints touching the circle are equal.

So, we can write, CH = BH and FH = GH;

Substituting the values of CH, BH and FH , GH;

We get,

⇒ 3x = 2x - 3      and      3y + 2 = 5y

⇒ x = -3               and     y = 1;

Therefore, the value of "x" is -3 and value of "y" is 1.

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Answer:

f(2) = 1

Step-by-step explanation:

We want to find the value of the line when x=2

f(2) = 1

The forecast value for time period 2 is 210, and the forecast error is -110 when the actual value is 100. Option B

To calculate the forecast value for time period 2, we substitute W = 2 into the regression equation:

y = 200 + W + 2W^2

= 200 + 2 + 2(2^2)

= 200 + 2 + 2(4)

= 200 + 2 + 8

= 210

Therefore, the forecast value for time period 2 is 210.

To calculate the forecast error, we compare the forecasted value with the actual value for time period 2. Given that the actual value is 100, the forecast error can be calculated as the difference between the actual value and the forecast value:

Forecast error = Actual value - Forecast value

= 100 - 210

= -110

Hence, the forecast error is -110.

Therefore, the correct answer is:

Forecast value = 210; forecast error is -110. So Option B is correct.

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Answer:

non Monterey

Step-by-step explanation:

The term "irrational" numbers refers to a group of numbers whose decimal representations neither repeat nor terminating.

A real number that cannot be stated as a fraction of two integers or as a finite decimal is said to be irrational. In other words, the decimal representation of an irrational number can go on indefinitely without repeating or can finally settle into a pattern of repetition. 2, e, and other odd integers are examples of irrational numbers.

In contrast, rational numbers are those that can be stated as a fraction of two integers or as a finite decimal. For instance, rational numbers include 1/2, 0.3333... (1/3 in fraction form), and 7.

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This question is incomplete

Complete Question

A baker uses 5.5 Ibs of flour daily

The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?

Answer:

51.3 loaves of bread

Step-by-step explanation:

Converting 5.5 Ibs to oz (ounces)

1 Ibs =>12 oz

5.5 Ibs => x

Cross Multiply

12 × 5.5 => 88 oz

1 loaf of bread =>12 oz

Hence, in 1 day

12 oz =>1 loaf of bread

88 oz => x

x =>88 oz/ 12 oz

x => 7.3333333333 loaves of bread

Hence, he can make 7.3333333333 loaves of bread in 1 day

Hence, in 7 days

1 day => 7.3333333333 loaves

7 days => x

x => 7 × 7.3333333333 loaves

x => 51.333333333 loaves of bread

Approximately => 51.3 loaves of bread

a. The exact coordinates of these points  (-12.25, -26) and (-12.25, -26).

b. The approximate area of the region enclosed by the curves y = 72 + 8x and y = -26 is 416.282

a. To find the points of intersection between the curves y = 72 + 8x and y = -26, we can set the equations equal to each other:

72 + 8x = -26

Subtract 72 from both sides:

8x = -98

Divide by 8:

x = -12.25

Now we can substitute this value back into either equation to find the corresponding y-coordinate. Let's use the first equation:

y = 72 + 8(-12.25)

y = 72 - 98

y = -26

Therefore, the points of intersection are (-12.25, -26) and (-12.25, -26).

b. To find the area of the region enclosed by these two curves, we need to find the integral of the difference between the curves with respect to x.

We integrate from x = -12.25 to x = 1.1:

Area = ∫[from -12.25 to 1.1] [(72 + 8x) - (-26)] dx

Simplifying:

Area = ∫[from -12.25 to 1.1] (98 + 8x) dx

Area = [49x + 4x^2] evaluated from -12.25 to 1.1

Area = [(49(1.1) + 4(1.1)^2) - (49(-12.25) + 4(-12.25)^2)]

Calculating:

Area ≈ 416.282

Therefore, the approximate area of the region enclosed by the curves y = 72 + 8x and y = -26 is 416.282 (rounded to three decimal places).

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Answer:

c

Step-by-step explanation:

(a) The slope of the line that is parallel to the line through the points (-2,-2) and (9,6) is 2.2.

(b) The slope of the line that is perpendicular to the line through the points (-2,-2) and (9,6) is -0.45.

To find the slope of the line parallel or perpendicular to the line passing through the points (-2,-2) and (9,6), we can use the formula for slope, which is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the given points.

(a) Parallel Line:

To find the slope of the line parallel to the given line, we need to find the slope of the given line first. Using the formula, we have:

Slope = (6 - (-2)) / (9 - (-2))

      = 8/11      

Since parallel lines have the same slope, the slope of the parallel line will also be 8/11.

(b) Perpendicular Line:

To find the slope of the line perpendicular to the given line, we take the negative reciprocal of the slope of the given line. So, the slope of the perpendicular line is:

Perpendicular Slope = -1 / (8/11)

                   = -11/8

                   = -1.375

Therefore, the slope of the line perpendicular to the given line is -11/8 or approximately -1.375.

In summary, the slope of the line parallel to the given line is 8/11, and the slope of the line perpendicular to the given line is -11/8 or approximately -1.375.

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Answer:

0.4

Step-by-step explanation:

The formula to calculate number of black marbles isnumber of favourable items by number of favourable items i.e for black marbles it will become

P(B)=number of black marbles divide by total number of marbles

P(B)=6/15

P(B)=0.4 OR 40%

Therefore the probability that Tommy will pick black marble is 0.4 or 40%

B

Step-by-step explanation:

Answer:

not enough information

Step-by-step explanation:

There are no options

Its an arithmetic sequence. Here is the formula and process.

An= A1 + (n-1) d

An = the nth term in the sequence

A1 = 1st term

n = number of terms

d = common difference

An = A1 + (n-1) d

= 11 + (100-1) 11

= 11 + (99) 11

= 11 + 1,089

= 1,100

sana makatulongg study hard

The required 100th term in the sequence is given as 1100.

What is the 100th term in the sequences 11, 22, 33, 44, 55 … is to determine.

Arithmetic progression is the series of numbers that have common differences between preceding values.

Given sequence
11, 22, 33, 44, 55 …

Where first term ( a ) = 11 ;
common difference ( d )  = 11 - 22
                                           = 11
The formula for the nth term of an Arithmetic progression is
a(nth) =   a  + ( n - 1 ) d
a (100th) = 11 + (100 - 1 )11
a (100th)  = 11+ (99)11
                = 11 + 1089
                = 1100
The 100th term in an arithmetic sequence is 1100.

Thus, The required 100th term in the sequence is given as 1100.

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The turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.

Part A:
The radius of the turntable is half of the diameter, which is 6.0 in. The ladybug crawls in a straight radial line to the edge, which means its displacement vector is equal to the radius of the turntable. Therefore, the magnitude of the ladybug's displacement vector is 6.0 in.

Part B:
The direction of the ladybug's displacement vector is the same as the direction of the radial line from the center of the turntable to the edge. This direction can be described by the angle between the positive x-axis and the radial line.

Since the turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.

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Answer:

2.44948974278

sqrt(6)

The coordinates of points A are -2 and 5.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

In the given image there is a rectangle ABCD on the coordinate axes. All the vertices of the rectangle are having coordinates. Point A of the rectangle is in the second quadrant where the value of y is positive but the value of x is negative. The coordinates of points A are -2 and 5.

Therefore, the coordinates of points A are -2 and 5.

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2x-8=12 2x=12+8

2x=20 x=20÷2

x=10

Answer:

10

Step-by-step explanation:

1/3 (2x-8) = 4​

1/3 ×2x - 1/3 ×8 = 4

2x/3-8/3=4

2x-8 /3=4

2x-8=4×3

2x-8=12

2x=12+8

2x=20

x=20/2

x=10

Answer:

x=3/4

Step-by-step explanation:

Look at the picture so you understand how To solve it.

the answer is: y = 3x + 1

P/s: i can't see the picture clearly but the answer is not A or C

ok done. Thank to me :>

prime factors of 900 =2 to power 2 ×3 to power 2 × 5 to power 2

: 2 x 375 = 750.

Answer:

6.75 x 10^5

Step-by-step explanation:

Answer:

5\sqrt(5) or about 11.2

Step-by-step explanation:

The change in x is 5, the change is y is 10.

Using the pythagorean theorem, the distance is

\sqrt(25+100) = \sqrt(125) = 5\sqrt(5) or 11.2

To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.

In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.

This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.

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The combined radical is: \(- 26\sqrt{3}\)

The radical is given as:

\(- 12\sqrt{12} - 2\sqrt{3}\)

We start by expressing 12 as 4 * 3

\(- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4* 3} - 2\sqrt{3}\)

Split the radical

\(- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4}* \sqrt{3} - 2\sqrt{3}\)

Take square root of 4

\(- 12\sqrt{12} - 2\sqrt{3} = - 12*2* \sqrt{3} - 2\sqrt{3}\)

\(- 12\sqrt{12} - 2\sqrt{3} = - 24* \sqrt{3} - 2\sqrt{3}\)

\(- 12\sqrt{12} - 2\sqrt{3} = - 24\sqrt{3} - 2\sqrt{3}\)

Combine like terms

\(- 12\sqrt{12} - 2\sqrt{3} = - 26\sqrt{3}\)

Hence, the combined radical is: \(- 26\sqrt{3}\)

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Answer:

7 1/5                 

Explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

7.2=7.2/1

Multiply to remove 1 decimal places. Here, you multiply top and bottom by 10^1 = 10

7.2/1×10/10=72/10

Find the Greatest Common Factor (GCF) of 72 and 10, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

7/2÷2/10÷2=36/5

Simplify the improper fraction,

=7 1/5

In conclusion,

−7.2=−7 1/5

Hope it helped. :)

a. The proportion of days with more than 650 hits is approximately 0.0808.

b. The proportion of days with between 580 and 650 hits is approximately 0.6772.

c. The number of hits such that only 15% of the days will have fewer hits is approximately 406.36.

To solve these questions, we will use the standard normal distribution and the z-score.

a. To find the proportion of days with more than 650 hits, we need to calculate the z-score for 650 and find the area under the standard normal curve to the right of that z-score.

First, calculate the z-score:

z = (x - μ) / σ

z = (650 - 510) / 100

z = 1.4

Using the standard normal table or a calculator, we find the area to the right of the z-score 1.4 is approximately 0.0808.

Therefore, the proportion of days with more than 650 hits is 0.0808 (rounded to four decimal places).

b. To find the proportion of days with between 580 and 650 hits, we need to calculate the z-scores for 580 and 650 and find the area between these two z-scores under the standard normal curve.

First, calculate the z-score for 580:

z1 = (580 - 510) / 100

z1 = 0.7

Next, calculate the z-score for 650:

z2 = (650 - 510) / 100

z2 = 1.4

Using the standard normal table or a calculator, we find the area to the right of z1 (0.7) is approximately 0.7580, and the area to the right of z2 (1.4) is approximately 0.0808. To find the area between these two z-scores, we subtract the smaller area from the larger area:

0.7580 - 0.0808 = 0.6772

Therefore, the proportion of days with between 580 and 650 hits is 0.6772 (rounded to four decimal places).

c. To find the number of hits such that only 15% of the days will have fewer hits, we need to find the z-score that corresponds to the cumulative probability of 0.15 (15%).

Using the standard normal table or a calculator, we find that the z-score corresponding to a cumulative probability of 0.15 is approximately -1.0364.

Now, we can use the z-score formula to find the number of hits:

z = (x - μ) / σ

-1.0364 = (x - 510) / 100

Solving for x:

x - 510 = -1.0364 * 100

x - 510 = -103.64

x = 510 - 103.64

x ≈ 406.36

Therefore, the number of hits such that only 15% of the days will have fewer hits is approximately 406.36.

In summary:

a. The proportion of days with more than 650 hits is approximately 0.0808.

b. The proportion of days with between 580 and 650 hits is approximately 0.6772.

c. The number of hits such that only 15% of the days will have fewer hits is approximately 406.36.

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Answer:

x ≈ 2.76

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan78° = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{13}{x}\) ( multiply both sides by x )

x × tan78° = 13 ( divide both sides by tan78° )

x = \(\frac{13}{tan78}\) ≈ 2.76 ( to 2 dec. places )

Answer:

Their masses are 100 kg and 90 kg

Step-by-step explanation:

Equations

We'll solve the problem by setting only one variable. Let's call:

x = weight of the heavier boxer

Since the sum of the masses of both boxers is 190 Kg:

190 - x = mass of the lighter boxer.

It's given that \(\frac{4}{5}\) of the mass of the heavier boxer is 10 kg less than the mass of the other, thus:

\(\displaystyle \frac{4}{5}x=190-x-10\)

Operating:

\(\displaystyle \frac{4}{5}x=180-x\)

Multiplying by 5:

\(\displaystyle 4x=5(180-x)\)

\(\displaystyle 4x=5*180-5x\)

Simplifying:

\(\displaystyle 9x=900\)

\(x=\frac{900}{9}=100\)

The heavier boxer's mass is 100 kg. The lighter boxer has a mass of 190-100 = 90 kg.

Their masses are 100 kg and 90 kg

Therefore, Andrea has 25 dimes in 37 coins, all nickels and dimes and the value of the 37 coins is $3.10.

Let's represent the number of nickels by "n" and the number of dimes by "d".

From the problem, we know that:

n + d = 37 (equation 1) ---(the total number of coins)

0.05n + 0.1d = 3.10 (equation 2) ---(the total value of the coins in dollars)

To solve for d, we can rearrange equation 1 to get:

n = 37 - d

Substitute this expression for n into equation 2 and simplify:

0.05(37-d) + 0.1d = 3.10

1.85 - 0.05d + 0.1d = 3.10

0.05d = 1.25

d = 25

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