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Find the measure of 48.
48
97/83
97
48 = [?]
Enter

Answer:

x= 1/8 or 0.125

Step-by-step explanation:

8x=1

x=1/8

Answer:

1/8 is the answer

Step-by-step explanation:

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

Yes.

Step-by-step explanation:

They are equivalent because if you divide 19 by 8, the result is 2.375.

Answer:

yes

Step-by-step explanation:

convert 19/8 into a decimal:

\(\frac{19}{8}\)=2.375

2.375=2.375

Hope this helps!

Complete Question

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze

(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?

Answer:

\(P(X=6)=(0.162)\)

Step-by-step explanation:

From the question we are told that:

Sample size \(n=18\)

Probability \(P=0.267\)

No. that do not cover their mouth when sneezing \(x=6\)

Generally the equation for The Binomial distribution is mathematically given by

Parameters

B(18,0.267)

Therefore

\(P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}\)

Where

\(x=6\)

Therefore

\(P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}\)

\(P(X=6)=(0.162)\)

The perimeter of rectangle M'N'O'P' is given as follows:

54 cm.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The ratio between the areas is given as follows:

126/14 = 9.

The area is measure in square units, while the perimeter is measured in units, hence the ratio of the perimeters is the square root of the ratio of the areas, that is:

3.

Hence the perimeter of rectangle M'N'O'P' is given as follows:

3 x 18 = 54 cm.

The complete problem is:

Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?

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Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

Answer:

 (b)  30 Mm

Step-by-step explanation:

Dividing the given equation by 202500 puts the equation of the ellipse in standard form.

  x^2/900 +y^2/225 = 1

The values 900 and 225 are the squares of the semi-major axis and the semi-minor axis, respectively. The maximum distance of the moon from the center of its orbit is √900 Mm = 30 Mm.

The probability that more than 2 students will attend is 0.9179.

Part (a) List the values that X may take on.

X may take on the values 0, 1, 2, 3, ..., 13.

Part (b) Give the distribution of X.

The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23

Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)

We can expect 3 students to attend the festivities.

Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)

The probability that at most 3 students will attend is 0.6923.

Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)

The probability that more than 2 students will attend is 0.9179.

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Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

For, n = 0, 1 we proved that 7⁽ⁿ⁺⁴⁾ - 7ⁿ hence by induction it is divisible by 30 for all n ∈ N.

An inductive proof requires two cases. The first, or base case, establishes the proposition that n = 0 without requiring any prior knowledge of other situations. The second example, the induction step, demonstrates that if the assertion is true for any particular case where n = k, then it must also be true for the subsequent case when n = k + 1. These two actions prove that the statement is true for all n = 1 natural numbers. The base case establishes the truth of the statement for all natural numbers n N, but it does not always start with n = 0. Instead, it frequently starts with n = 1, and it may also start with any fixed natural number n = N.

Given, We have to prove 7⁽ⁿ⁺⁴⁾ - 7ⁿ is divisible by 30 for all n ∈ N.

Let, n = 0.

Therefore,

7⁴ - 7⁰.

= 2401 - 1.

= 2400.

= 30×80, Divisible by 30.

Similarly for n = 1 we have,

7⁵ - 7¹.

= 16807 - 7.

= 16800.

= 30×560.

Hence by induction, the cycle will continue.

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Answer: y = 5x-2

Step-by-step explanation:

Using it's concept, the slope of the line is of 3.

The slope of a line, given two points, is given by change in y divided by change in x.

In this problem, the points are (1,5) and (2,8), hence the slope is given by:

m = (8 - 5)/(2 - 1) = 3.

The slope of the line is of 3.

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Answer:

That is negative x and negative y values - so its Quadrant III.

Step-by-step explanation:

Answer:

Quadrant III

Step-by-step explanation:

That's the only quadrant with all negatives.

Answer:

C

Step-by-step explanation:

You are asking a group of people to gain knowledge, and through that, you would be conducting a survey.

Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.

The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

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Answer:

600

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-12°F +  3 =-9

1/2 * 6 = 3

The solution to the given inequality is x<2. Therefore, option C is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is |x|+1<3.

Here, subtract 1 on both the sides of an inequality, we get

x<2

Therefore, option C is the correct answer.

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Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

5/6x18

The height of the projectile after 4 seconds is 421.28 ft.

The projectile is in the air for 8.015 seconds.

The horizontal distance traveled by the projectile is 881.77 ft.

The maximum height of the projectile is 464.1 ft.

To solve this problem, we can use the kinematic equations of motion for a projectile.

Let's assume that the initial height of the projectile is zero.

What is the height of the projectile after 4 seconds:

We can use the equation:

\(y = yo + vot + 1/2at^2\)

where

y = height of the projectile

yo = initial height (zero in this case)

vo = initial vertical velocity = 220 sin(60°) = 190.53 ft/sec

a = acceleration due to gravity \(= -32.2 ft/sec^2\) ( negative since it acts downwards)

t = time = 4 sec

Plugging in the values, we get:

\(y = 0 + (190.53)(4) + 1/2(-32.2)(4)^2 = 421.28 ft\)

Therefore, the height of the projectile after 4 seconds is 421.28 ft.

Long is the projectile in the air:

The time of flight of a projectile can be calculated using the equation:

t = 2vo sinθ / g

where θ is the launch angle and g is the acceleration due to gravity.

Plugging in the values, we get:

t = 2(220 sin(60°)) / 32.2 = 8.015 sec

Therefore, the projectile is in the air for 8.015 seconds.

Horizontal distance traveled by the projectile:

The horizontal distance traveled by the projectile can be calculated using the equation:

\(x = xo + vot + 1/2at^2\)

where

x = horizontal distance traveled

xo = initial horizontal position (zero in this case)

vo = initial horizontal velocity = 220 cos(60°) = 110 ft/sec

a = acceleration due to gravity (zero in the horizontal direction)

t = time = 8.015 sec

Plugging in the values, we get:

\(x = 0 + (110)(8.015) + 1/2(0)(8.015)^2 = 881.77 ft\)

Therefore, the horizontal distance traveled by the projectile is 881.77 ft.

Maximum height of the projectile:

The maximum height of a projectile can be calculated using the equation:

\(ymax = yo + (vo^2 sin^2 \theta ) / 2g\)

Plugging in the values, we get:\(ymax = 0 + (190.53^2 sin^2(60\degree )) / (2)(32.2) = 464.1 ft\)

Therefore, the maximum height of the projectile is 464.1 ft.

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Answer:

A foot is 12 inches and 4 is closer to 0 than 12 meaning 13 ft 4 in simplified is 13 ft

Step-by-step explanation:

Answer:

No, but they add up to 180 degrees.

Step-by-step explanation:

Take one of the angles, interior or exterior and subtract it from 180 and you should have your other angle.

Answer:

y = 3x - 27

Step-by-step explanation:

Since the slope is three, that is the only one that can be the answer.

answer: y = 3x - 27

explanation:

equation of a straight line: y = mx + c

( m is the slope and c the y- intercept )

here m = 3 , then y = 3x + c ← is the partial equation

to find c substitute (6, - 9) into the partial equation

-9 = 18 + c ⇒ c = -9 - 18 = - 27

y = 3x - 27 ← equation of line

The new total after the 13% discount has been applied to a bill of £39 is £33.93.

percentage, a relative value indicating hundredth parts of any quantity.

To calculate the new total after the discount, we need to first find the amount of discount applied to the original bill.

We can do this by multiplying the original bill by the discount rate (as a decimal):

Discount = 0.13 * £39 = £5.07

Therefore, the amount of the discount is £5.07.

To find the new total, we need to subtract the discount from the original bill:

New total = £39 - £5.07 = £33.93

Therefore, the new total after the 13% discount has been applied to a bill of £39 is £33.93.

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Answer:

(4 + 7i)(4 - 7i)

Step-by-step explanation:

Factors of the form of a conjugate pair always produce a real number

(a + bi)(a - bi) ← produce a real number product ( a and b are real ), that is

(a + bi)(a - bi) ← expand using FOIL

= a² - bi² ( i² = - 1)

= a² + b² ← a real number

Thus

(4 + 7i)(4 - 7i)

= 16 - 49i²

= 16 + 49 = 65

Answer:

the correct answer is the last one, (4+7i)(4-7i)

Step-by-step explanation:

Answer:

Step-by-step explanation:

X is a variable.

A sum is an addition.

\(\Longrightarrow: \sf{x+8}}\)

I hope this helps. Let me know if you have any questions.

The relationship in the figure is a function because each input has only one output to which they are linked

A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.

The data in the sets can be presented as follows;

x  \({}\)               f(x)

-1 \({}\)      →         2

0\({}\)        →        2

1\({}\)         →        -3

2\({}\)         →       -2

8\({}\)         →        3

The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.

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