Ali is a very good student. The probability that he studies and passes his math test is 17/20. If the probability that Ali studies is 15/16 find the probability that Ali passes his math test, given that he has studied.​

Answer:

-45

Step-by-step explanation:

-100 + -80 = 6x + -2x

-180 = 4x

-180/4 = -45

Answer:

x= -45

Step-by-step explanation:

-100 + 2x =  80 + 6x

-80  - 2x  =  -80 -2x

------------------------------

-180 + 0   =    0 + 4x

-180/4 = x

-45 = x

Volume of the cylinder is = \(\pi r^{2}h\) = \(3.14 * (.9)^{2}*2.9\) = 7.37586 = 7.38 cu. mm

A cylinder is a three-dimensional solid that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centres of the two bases. The height of the cylinder is "h," while the radius of the cylinder is "r," measuring the distance from the axis to the outside surface.

Each form has specific characteristics that set it apart from other shapes. Consequently, cylinders share those same traits.

Radius(r) of the cylinder is .9 mm

Height(h) of the Cylinder is 2.9 mm

Volume of the cylinder is = \(\pi r^{2}h\) = \(3.14 * (.9)^{2}*2.9\) = 7.37586 = 7.38 cu. mm.

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Answer:

60 dollars for 5 tickets.

Step-by-step explanation:

4x=48

x=12

5 times 12= 60

Answer:

$60

Step-by-step explanation:

4x=48

x=12 so each ticket costs 12 dollars

so for 5 movie tickets 12x5=60 dollars

so 5 movie tickets would cost 60 dollars

The sample space is 4845.Therefore, option C is correct.

Given: The mayor of a city randomly chooses 4 of the 20 wards in her city and surveys all the voters in those selected wards.

Solution: We have a sample size of 4 wards out of a total of 20 wards. The mayor has chosen all the voters in those 4 wards. So, the sampling method used here is stratified sampling as the mayor chose the voters of specific 4 wards.

Sample space = Total number of ways to select 4 wards out of 20 wards= C(20,4) = 20!/(4!(20 - 4)!) = 4845

Hence, the sample space is 4845.Therefore, option C is correct.

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After considering the given data we conclude that the value of CE = x = 6, under the condition that the given figure is AEC. The set up proportion is 6/4 = 1.5

In the given figure, we have two right-angled triangles ABC and CBE such that triangle ABC meets triangle CBE at a common side of BC. The base of triangle ABC is 8 and the base of triangle CDE is 4. We need to find the length of CE.
We can see that triangle ABC and triangle CBE are similar triangles because they share an angle (angle B) and have a common side (BC). Therefore, we can write:
AB/BC = CB/CE
We know that AB = AC - CB = √(AC² - BC²) = √(8² - BC²) and CB = CE - BE = √(CE² - 4²).

Substituting these values in the above equation, we get:
√(8² - BC²)/BC = CB/CE
√(8² - BC²)/BC = √t(CE² - 4²)/CE
Squaring both sides of the equation, we get:
(8² - BC²)/BC² = (CE² - 4²)/CE²
Multiplying both sides by BC² × CE², we get:
(8² - BC²) × CE² = (CE² - 4²) × BC²
64CE² - BC² × CE² = CE² × BC² - 16
80CE² = BC² × CE² + 16
Substituting BC = BE + EC = BE + CE/3 (because triangle CBE is a right-angled triangle), we get:
80CE² = (BE + CE/3)² × CE² + 16
80CE² = (BE×CE + CE³/3)² + 16×CE²
Substituting BE = AB - AE and AB = √(8² - BC²), we get:
80CE⁴ = ((√(8² - BC²) × CE) + (CE/3)³)² + 16×CE²
Substituting BC with √(8² - BC²), we get:
80CE⁴ = ((√(8² - (√(8² - BC²))²) × CE) + (CE/3)³)² + 16×CE²
80CE⁴ = (√64 - BC²) × CE) + (CE/27))² + 16×CE²
80CE⁴ = (64×CE⁴ - BC×BC×CE×CE + 32×√(64-BC×BC)×CE×CE/27 + CE×CE/729) + 16×CE×CE
0 = 64×CE×CE - BC×BC×27×CE×CE + 32×√(64-BC×BC)×27×CE×CE + CE×CE/5
0 = 3200×CE×CE - 27×(BC⁴)×5
Solving for CE, we get:
3200 × CE² = 27 × (8⁴)
3200 × CE² = 27 × (4096)
3200 ×CE² = 110,592
CE² = 110,592 / 3200
CE² = 34.56
CE = 6

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Answer: 1kg

Step-by-step explanation:

Answer:

almost 4.5g

Step-by-step explanation:

Hope this is the answer you are looking for

Answer:

B

Step-by-step explanation:

it have higher vowel words it's my opinion

Answer:

D. Manitoba

Step-by-step explanation:

a = 2/5 (not jncluding y as a vowel)

b = 4/12

c = 3/7

d = 4/8

0.4, 0.33, 0.43, 0.5

Answer:

y = 2.5x

Step-by-step explanation:

The equation representing direct proportion is

y = kx ← k is the constant of proportion

Here k = 2.5 , thus

y = 2.5x ← equation of proportion

Answer:

A

Step-by-step explanation:

what the other guy said

Answer:

5 units

Step-by-step explanation:

If both points are translated the same amount, then the length of the line will stay the same.

The number of feet down the hallway where you go until you start to feel pain is 14 feet.

A sort of sequence known as geometric progression (GP) is one in which each following phrase is created by multiplying every preceding term by such a fixed number, or "common ratio."

The general form of GP is

a, ar, ar², ar³ ... arⁿ⁻¹

where, a is the initial term.

r is the common ratio.

According to the question,

The initial term is; a = 2.

The common ratio r = 2.

The threshold value beyond which  person start feeling pain is 127.

Thus, last term; arⁿ⁻¹ = 128 (1 feet beyond 127 person start feeling pain)

Last second value is arⁿ⁻².

As, the common ratio is same in GP.

Thus,  arⁿ⁻¹ / arⁿ⁻² = ar/a

==> 128/arⁿ⁻² = r

==> 128/arⁿ⁻² = 2

==> 2×2ⁿ⁻² = 64

==> 2ⁿ⁻² = 32

==> n = 7

As, i step is of 2 feet, the total steps taken by the person is 2×7 = 14.

Therefore, the total number of steps beyond which person will feel pain is 14.

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Answer:

y divided by k

Step-by-step explanation:

x is greater than eleven thirds.

Inequality are expression that have <, > , ≤ and ≥ .

Therefore,

1 / 5 (5x) + 10 + 5x > 32

Hence,

1 / 5 × 5x + 10 + 5x > 32

x + 10 + 5x >32

combine like terms

x + 10 + 5x >32

x + 5x + 10 > 32

Therefore,

x + 5x + 10 > 32

6x + 10 > 32

subtract 10 from both sides

6x + 10 - 10 > 32 - 10

6x > 22

divide both sides by 6

x > 22 / 6

x > 11 / 3

Therefore, x is greater than eleven thirds.

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Answer:

x = 3 , x = 7

Step-by-step explanation:

3(x - 5)² - 17 = - 5 ( add 17 to both sides )

3(x - 5)² = 12 ( divide both sides by 3 )

(x - 5)² = 4 ( take square root of both sides )

x - 5 = ± \(\sqrt{4}\) = ± 2 ( add 5 to both sides )

x = 5 ± 2

then

x = 5 - 2 = 3

x = 5 + 2 = 7

For the first equation you add 2 on both sides to get m < -6.

For the second you multiply by 8 on both sides to get m > 8

The answer is C.

Hope this helps

The following inequality of m - 2 < -8 or m/8 > 1 is m < -6 or m > 8.

Option C is the correct answer.

It is a statement of an ordered relationship

- greater than,

- greater than or equal to,

- less than,

- less than or equal to between two numbers or algebraic expressions.

We have,

m - 2 < -8 or m/8 > 1

Let's find m for each inequality.

m - 2 < -8

Adding 2 on both sides.

m - 2 + 2 < -8 + 2

m < -6 _____(1)

m/8 > 1

Multiply 8 on both sides.

8 x m/8 > 8 x 1

m > 8 _____(2)

From (1) and (2) we get,

m < -6 or m > 8

Thus,

The following inequality of m - 2 < -8 or m/8 > 1 is m < -6 or m > 8.

Option C is the correct answer.

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Answer:

imaginary number and a real number

The coordinate points of the solid circles indicates that the reason the graph is not a function is the option;

A function is a rule or definition which maps the elements of an input set unto the elements of output set, such that each element of the input set is mapped to exactly one element of the set of output elements.

The location of the solid circles on the coordinate plane are;

(-2, -5), (-1, 3), (1, -2), (3, 0), (4, -2), (4, 4)

The above coordinates can be arranged in a tabular form as follows;

x;\({}\) -2, -1,   1,  3,   4, 4

y; \({}\)-5, 3,  -2,  0, -2, 4

The above coordinate point values indicates that the x-coordinate point x = 4, has two y-coordinate values of -2, and 4, therefore, a vertical line drawn at the point x = 4, on the graph, intersect the graph at two points, y = -2, and y = 4, therefore, the data does not pass the vertical line test and the graph for a function, which indicates;

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The 16% variability in weight can be explained by the relationship with height.

What is correlation?

In statistics, there are three different forms of correlation: positive, negative, and no correlation.

The link between two variables is said to be positive correlated when both variables move in the same direction. When one variable decline (or grows) while the other variable lowers (or increases), there is a positive perfect correlation, denoted by the number +1.

When two variables are correlated negatively, both of the variables are moving in the opposing direction. When one variable rises (or falls) while the other rises (or falls), there is a negative perfect correlation, which is symbolised by the number -1.

No correlation, which is represented by 0, means that there is no connection or reliance between the two variables.

On the basis of provided information, the correlation between the height and weight for adults is,

r = +0.4

So, the coefficient of determination is calculated as,

\(r^{2} = (0.40)^{2}\) = 0.16 = 16%

Based on the provided information, the required answer is 16%.

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Answer:

x=5 (If u write this down without actually looking at the explanation, ur not gonna understand anything).

Step-by-step explanation:

60 + 42.95x = 25 + 49.95x

Isolate the variable:  49.95x - 42.95x = 60 -25

Solve and calculate: 7x = 35

=> x=5

The value of x in the equation 60+42.95x=25+49.95x is 5 .

Equation : When the value of two mathematical expressions are same is called as equation.

Given, equation with variable x : 60+42.95x=25+49.95x.

Now, solve for x to get the desired values of x.

60 + 42.95x = 25 + 49.95x

Combine like terms, separate constant terms and terms with variable x.

60 - 25 = 49.95x - 42.95x

35 = 7x

Solve for x ,

35/7 = x

x = 5

Thus the value of x is 5 in the equation.

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From the given information, cholesterol level X follows the N(222, 37) distribution.

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be calculated by using the z-score formula as follows:

z = (x - μ) / σ

For lower limit x1 = 200, z1 = (200 - 222) / 37 = -0.595

For upper limit x2 = 240, z2 = (240 - 222) / 37 = 0.486

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be computed as

P(200 ≤ X ≤ 240) = P(z1 ≤ Z ≤ z2) = P(Z ≤ 0.486) - P(Z ≤ -0.595) = 0.683 - 0.277 = 0.406

In this population, 90% of men have a cholesterol level that is at most X90.The z-score corresponding to a cholesterol level of X90 can be calculated as follows:

z = (x - μ) / σ

Since the z-score separates the area under the normal distribution curve into two parts, that is, from the left of the z-value to the mean, and from the right of the z-value to the mean.

So, for a left-tailed test, we find the z-score such that the area from the left of the z-score to the mean is 0.90.

By using the standard normal distribution table,

we get the z-score as 1.28.z = (x - μ) / σ1.28 = (X90 - 222) / 37X90 = 222 + 1.28 × 37 = 274.36 ≈ 274

The cholesterol level of 90% of men in this population is at most 274 mg/dl.

The distributions that we can consider to be approximately normal are the sampling distribution of mean BMI for random samples of 60 adults and the sampling distribution of mean BMI for random samples of 9 adults.

The reason for considering these distributions to be approximately normal is that according to the Central Limit Theorem, if a sample consists of a large number of observations, that is, at least 30, then its sample mean distribution is approximately normal.

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Answer:

2 (2r + t)

Step-by-step explanation:

2r + (t + r) × 2

➡️ 2r + 2 (t + r)

➡️ 2 (r + t + r)

➡️ 2 (2r + t)

The volume of the frustum of the right circular cone is approximately 21850.2 cubic units where  frustum of a cone is a three-dimensional geometric shape that is obtained by slicing a larger cone with a smaller cone parallel to the base.  

To find the volume of a frustum of a right circular cone, we can use the formula:

V = (1/3) * π * h * (r₁² + r₂² + (r₁ * r₂))

where V is the volume, h is the height, r₁ is the radius of the lower base, and r₂ is the radius of the top base.

Given the values:

h = 15

r₁ = 25

r₂ = 19

Substituting these values into the formula, we have:

V = (1/3) * π * 15 * (25² + 19² + (25 * 19))

Calculating the values inside the parentheses:

25² = 625

19² = 361

25 * 19 = 475

V = (1/3) * π * 15 * (625 + 361 + 475)

V = (1/3) * π * 15 * 1461

V = (1/3) * 15 * 1461 * π

V ≈ 21850.2 cubic units

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The volume of the frustum of the right circular cone is approximately 46455 cubic units.

To find the volume of a frustum of a right circular cone, we can use the formula:

V = (1/3) * π * h * (R² + r² + R*r)

where V is the volume, π is a constant approximately equal to 3.14, h is the height of the frustum, R is the radius of the lower base, and r is the radius of the top base.

Given that the height (h) is 15 units, the radius of the lower base (R) is 25 units, and the radius of the top base (r) is 19 units, we can substitute these values into the formula.

V = (1/3) * π * 15 * (25² + 19² + 25*19)

Simplifying this expression, we have:

V = (1/3) * π * 15 * (625 + 361 + 475)

V = (1/3) * π * 15 * 1461

V ≈ (1/3) * 3.14 * 15 * 1461

V ≈ 22/7 * 15 * 1461

V ≈ 46455

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The area of the parallelogram in the middle of the shape would be 6 units ²

The area of a parallelogram can be found by the formula :
= Base x Height

We can find the base of the parallelogram in the middle of the shape to be :

= Base of Parallelogram 1 - Base of Parallogram 2

= 5 - 3

= 2

The height would be:

= Height of Parallelogram 2 - Height of Parallogram 1

= 6 - 3

= 3

The area of the parallelogram is:

= 2 x 3

= 6 units ²

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Answer:

a. what is the perimeter of a square with side length:

3 cm=12cm

7 cm=28

b.90

SRRC is a pulse shaping filter used in digital communications to minimize intersymbol interference and improve the signal-to-noise ratio.

The square root raised cosine (SRRC) is a famous heartbeat molding channel utilized in computerized correspondences, especially in applications like advanced tweak and demodulation. It is intended to limit intersymbol obstruction (ISI) by restricting the data transmission of the sent sign while keeping a consistent envelope.

The SRRC channel is described by a reaction that is like the raised cosine channel, yet with a square root capability applied to the recurrence reaction. This outcomes in a smoother change between the passband and stopband, which assists with decreasing ISI and work on the sign to-clamor proportion.

The SRRC channel is usually utilized in correspondence frameworks that utilization quadrature sufficiency regulation (QAM) or stage shift keying (PSK) tweak plans, as it gives great ghastly control and heartbeat molding properties that are appropriate to these kinds of signs.

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Step-by-step explanation:

sin x°= 12/9

sin x°= 4/3

: . sin x°= 1.333

Answer:

x=32/7

Step-by-step explanation:

7x-2(1)=30  Plug in 1 as y and simplify.

7x-2=30     Add 2 on both sides of the equation.

  +2 +2

7x=32         Divide both sides of the equation by 7.

/7   /7

x=32/7

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