A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3. 5 and a height of 8. The frustum has a height of 11 and a radius of 7. 5. Which expression represents the volume, in cubic units, of the frustum? One-thirdĎ€(7. 52)(11) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(11) One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) One-thirdĎ€(3. 52)(8).

Answer:

10.23% to the nearest hundredth.

Step-by-step explanation:

This is a Binomial Probability Distribution.

If exactly 25 are left handed then exactly 5 are right handed.

So (probability that exactly 25 are left handed)

= 30C5*(0.1)^5(0.9)^25

= 0.1023047706

= 10.23%.

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

This problem involves the binomial probability distribution, where we have a fixed number of trials (30 students in this case), and each trial has two possible outcomes (left-handed or not left-handed).

The probability of success (a student being left-handed) is 0.9, based on the researchers' claim.

The probability of a failure (a student not being left-handed) is 1 - 0.9 = 0.1.

We want to find the probability that exactly 25 students out of 30 are left-handed.

This can be calculated using the binomial probability formula:

[tex]P(X = k) = ^nC_ kp^k (1 - p)^{n-k}[/tex]

where:

n = 30 (the number of trials)

k = 25 (the number of successes we want)

p = 0.9 (the probability of success in each trial)

Plugging in the values, we get:

[tex]P(X = 25) = ^{30}C_ {25}~ 0.9^{25} ~0.1^5[/tex]

Using a calculator or statistical software, we can find that:

P(X = 25) ≈ 0.2031

Therefore,

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

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Answer:

10

Step-by-step explanation:

if

  a= base 1 (1.5)

  b= base 2 (3.5)

  h= height (4)

[tex]A=\frac{a+b}{2}h=\frac{1.5+3.5}{2} 4[/tex]

Answer:

$1.75  cost of the funnel cake and $4.25 cost of the ice cream cone.

Step-by-step explanation:

x = cost of the ice cone cone

y = cost of the funnel cake

3x + 4y = 19.75      multiply (-2)       ⇔     -6x - 8y = -39.50

5x + 8y = 35.25    do not change   ⇔  +  5x + 8y = 35.25

                                                                     -x  =  -4.25

                                                                      x = 4.25  cost of the ice cream cone

Substitute into the second equation x = 4.25 and solve  for y

5(4.25) + 8y = 35.25

21.25 + 8y = 35.25

  8y = 14

y = 1.75    cost of the funnel cake

Answer:

x = 50 and y = 10

Step-by-step explanation:

The drawing shows several equal sides.  The triangles are a reflection of each other, so their angles will be the same.

Take the top and bottom angles:

2x + 5 and 3x - 45

They are equal, so:

2x + 5 = 3x - 45

-x = -50

x = 50

The angle y will have the same value as the one below it in the bottom triangle.  Add the angles in the lower triangle and since the sum of the angles in a triangle is always 180, we can say:

y + (8y-15) + (3x-45) = 180

Rearrange:

y  = 180 - (8y-15) - (3x-45)

y  = 180 - 8y + 15 - 3x + 45

9y = 180 + 15 - 3x + 45

Since x = 50:

9y = 180 + 15 - 3*(50) + 45

9y = 180 + 15 - 150 + 45

9y = 90

y = 10

[tex](a)\\\\\text{Given that, sin x = cos x }\\\\\text{So,} ~ \tan x = \dfrac{\sin x}{\cos x} = \dfrac{\sin x}{\sin x} = 1\\\\\\(b)\\\\\text{Given that,}\\\\\sin x = \cos x\\\\\implies \dfrac{\sin x}{\cos x} =1\\\\\implies \tan x =1\\\\\implies x = n\pi + \dfrac{\pi} 4 \\\\\text{For interval}~ [0, 2\pi),}\\\\x= \dfrac{\pi}4, \dfrac{5\pi}4~~;[\text{When n = 0,1}]\\\\\text{In degrees,} ~ x= 45^{\circ} , 225^{\circ}[/tex]

Answer:

1.023,1.032,1.203, and 1.23

Step-by-step explanation:

Answer:

Rational numbers

Step-by-step explanation:

any number that can be written as the ratio of two integers and that is terminating or repeating in decimal form



hoped that helped

Answer:

Rational numbers

Step-by-step explanation:

These numbers are numbers that can be expressed as a ratio of two integers and includes decimals that terminate (they end like 5.1 or 6.349) or repeat (such as 5.33333333333...)

The measure of side x equivalent to RS is 42

Similar shapes are shapes that have both their sides and angles to be equal.

Since both quadrilaterals JKLM and PQRS are similar, we will take the ratio of the sides as shown;

4/24 = 7/x

1/6 = 7/x

Cross multiply

x = 42

Hence the measure of side x equivalent to RS is 42

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There are 3feet in one yard.

Let B = number of feet

Let Y = number of yards

B = 3Y

Answer:

3 in 75,341 = the hundreth place.  3 in 293,467 = the thousandth place.

Step-by-step explanation:

Answer:

k translates a function up or down

Step-by-step explanation:

hope this helped :)

Answer:its a zero slope or you can do  x2-x1 and y2-y1 and if its an even fraction try simplifying it .

Step-by-step explanation:

The slope of the coordinates is 0.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.

So, Slope = m = tan θ

slope = (y2 - y1)/(x2 - x1)

given coordinates:

(−5,4) and (2,4)

So, slope = (y2 - y1)/ (x2 - x1)

slope = (4- 4)/ (2 - (-5))

slope = 0 / 7

slope = 0

Hence, the slope of the coordinates is 0.

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Answer: Neither are functions, so option D

On both tables, one of the inputs has 2 outputs, so no function

Answer:

C.2,134

Step-by-step explanation:

4÷2=2

2÷2=1

6÷2=3

8÷2=4

Answer:

C

Step-by-step explanation:

Had that same question and I just guessed and got it right

Answer: 6%

Step-by-step explanation:

Answer:

music test

Step-by-step explanation:

divide each one and find the highest answer.

Answer:

3x + 20

Step-by-step explanation:

Product is for multiplication therefore, the product of 3 and x is 3x.

increased = addition

Overall, the product of 3 and x increased by 20 is 3x + 20.

Answer:

negative

Step-by-step explanation:

The graph falls to both the left and right, so the leading coefficient has to be negative, and it must be raised to an even power.

Answer:

you would of read 3 pages

Step-by-step explanation:

the x-intercept is the point where the line touches the x-axis. The x-intercept is (4,0)

the y-intercept is the point where the line touches the y-axis. The y-intercept is (0,-2)

The answer:  a° = 180° - 62° = 118°    ,     b° = 62°  ,     c° = (180° - 62°) ÷ 2 = 59°

Ok done. Thank to me :>

Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.

Answer:

A = 2 (wl+hl+hw)=2·(4.7+5·7+5·4)=166

Answer: A=2(wl+hl+hw)=2·(4·7+5·7+5·4)=166

Step-by-step explanation:

Answer:

B save your time its the same answer

Step-by-step explanation:

Good Luck!

Answer:

x = 5

Step-by-step explanation:

3/2x is same as 15/10x

6/5x is same as 12/10x

3/10x = 3/2

cross-multiply:

6x = 30

x = 5

Answer:

  6√3 square units

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...

  3(2/√3) = 2√3 . . . . side AB in the attached figure

and

  2·3 = 6 . . . . . . . . . . side AC in the attached figure

Then the area of the triangle is ...

  A = 1/2bh

  A = 1/2(6)(2√3) = 6√3 . . . . square units

Answer:

y=c+12

Step-by-step explanation:

c=y-12

take the 12 from the right and move it to the other side by adding 12

c+12=y

Answer:

$35

Step-by-step explanation:

if $7 is only 20% of the original price multiply 7×5

-20%×5=100%

same thing as 7×5=35

just switch the percent by its worth

Answer:

  x = -2, x = 2

Step-by-step explanation:

The denominator factors as ...

  x^2 -4 = (x -2)(x +2)

The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.

Answer:

75 cm

Step-by-step explanation:

1 m = 100 cm , so

2 m = 200 cm

Then

[tex]\frac{3}{8}[/tex] × 200 cm

= 0.375 × 200 cm

= 75 cm