Volume of this prism

Answer:

4/5

Step-by-step explanation:

You know 0.8 x 10 = 8, so 8/10 is the fraction.  

Now, simplify 8/10.  

8/10 = 4/5

Answer:

4/5

Step-by-step explanation:

Step 1: Convert decimal to fraction

0.8= 8/10

Step 2:Simplify

8/10=4/5

Answer:

Top left graph.

Step-by-step explanation:

If Juan didn't take a break, there is no plateau/flat line. And if he started hiking up and then down, then the graph should be an upside-down V shape.

Answer:

Graph A is the most acuurate

Answer:

0.15

Step-by-step explanation:

What we can use to solve this problem is the Bernoulli approximation of the Binomial distribution.

When we say at most 3, it means 0 or 1 or 2 or 3 people out of the 13 made the purchase

Mathematically, the Bernoulli approximation is applied as follows

P(X = n) = nCr p^r q^n-r

let p = probability of making online purchase = 0.41

while q = 1-p = 1-0.41 = 0.59 which is the probability of not making an online purchase.

Mathematically for each of the approximations up to 3, we have ;

13C0 P^0 q^13 + 13C1 P^1 q^12 + 13C2 P^2 q^11 + 13C3 P^3 q^10

Making substitutions, we have

{1 * 0.41^0 * 0.59^13} + {13 * 0.41^1 * 0.59^12} + {78 * 0.41^2 * 0.59^11} + {286 * 0.41^3 * 0.59^10}

= 0.150820944904 which is 0.15 to 2 decimal places

Answer:

proof

Step-by-step explanation:

Statements

Reasons

<2 is congruent to <5; Segment AB is congruent to Segment DE

Given

<3≅<4

Vertical angle theorem

ΔCDB≅ΔCAE

AAS

Segment BC is congruent to Segment EC

CPCTC

The segment BC is congruent to segment EC and this can be proven by using the properties of a triangle and the given data.

Given :

The following steps can be used in order to prove that segment BC is congruent to segment EC:

Step 1 - Using the triangle properties it can be proven that segment BC is congruent to segment EC.

Step 2 - According to the vertical angle theorem, angle 3 is congruent to angle 4.

Step 3 - Now, according to the AAS (Angle Angle Side) postulate, triangle CDB is similar to triangle CAE.

Step 4 - So, according to the CPCTC, segment BC is congruent to segment EC.

For more information, refer to the link given below:

https://brainly.com/question/25813512

We are given

m∠A = 75 deg

a = 2

b = 3

Apply the Law of Sines.

sin(B)/b = sin(A)/a

sin(B)/3 = sin(75)/2

sin(B) = (3*sin(75))/2 = 1.45

The value of the sin function cannot exceed 1.

This means that the triangle cannot exist.

Answer: No distinct triangles

Answer: A no triangles can be formed

Step-by-step explanation:

Answer:

4,6

Step-by-step explanation:

midpoint formular= ½(x¹+x²), ½(y¹+y²)

½(0+8), ½(3+9)

½(8), ½(12)

4,6

Step-by-step explanation:

For one course:

6+8+5=

Two courses with appetizers and main meals (* means times)

6*8

Two courses with appetizers and dessert

6*5

Two courses with main meals and dessert

8*5

Answer:

Im pretty sure that the answer is 32.

Step-by-step explanation:

Hope this helps

Complete question is;

Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 1816 students at Franklin High School. Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall?

Answer:

467

Step-by-step explanation:

We are told that 18 out of 70 of the surveyed students' favorite season is fall. This when expressed in fraction, gives; 18/70.

Now we need to multiply this fraction by the total number of Franklin High School students in order to get the estimate for the number of students at Franklin High School whose favorite season is fall. Total number of students = 1816. Thus, estimate is;

1816 × 18/70 = 467

Thus, the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall would be 467.

Answer:

A , B, E   1,2,5

Your the welcome my audience

Step-by-step explanation:

Answer:

a b e

Step-by-step explanation:

just believe me you $exy hunky man

Answer:

The answer is 3x(x - 3)(x + 2)

Step-by-step explanation:

3x³ - 3x² - 18x

Factor out 3x from the expression

We have

3x ( x² - x - 6)

Solve the terms in the bracket

We have

3x ( x² + 2x - 3x - 6)

Factor out x the expression in the bracket

We have

3x ( x ( x + 2) - 3( x + 2) )

Factor out x + 2 from the expression in the bracket

We have the final answer as

Hope this helps you.

Answer:

value of x=9

so value of large number is 90 and smaller number is 9

Answer:

k > - 2

Step-by-step explanation:

Given

6k + 9 > k - 1 ( subtract k from both sides )

5k + 9 > - 1 ( subtract 9 from both sides )

5k > - 10 ( divide both sides by 5 )

k > - 2

Answer:

k> -2

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

parallel lines have the same slope, perpendicular lines' slopes are the negative inverse of eachother.

Answer:

student 2

Step-by-step explanation:

35/50 = 70%

51/60 = 85%

Answer:

D. Infinite number

Step-by-step explanation:

A circular plate can be rotated by a part of a degree and it will look the same (as long as it does not have a design on it)

Assuming this plate does not have a design on it, we can rotate through infinite number of lines of symmetry

Answer:

D. infinite number

Step-by-step explanation:

Hope this helps ^_^

Answer:

1) 78.87%

2) 99.7%

Step-by-step explanation:

The z-score for a normal distribution is given by:

[tex]z=\frac{X-\mu}{\sigma}[/tex]

1- The given data is:

σ = 4 years

μ = 50 years

For X = 45 and X =55

[tex]z_1=\frac{45-50}{4}\\z_1=-1.25\\z_2=\frac{55-50}{4}\\z_2=1.25[/tex]

A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.

Therefore, the percentage of the alligators are between 45 and 55 years old is:

[tex]P=89.44-10.57=78.87\%[/tex]

78.87% of alligators.

2- The given data is:

σ = 2 minutes

μ = 17 minutes

For X = 11 and X =23

[tex]z_1=\frac{11-17}{2}\\z_1=-3\\z_2=\frac{23-17}{2}\\z_2=3[/tex]

A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.

Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:

[tex]P=99.865-.0135=99.73\%[/tex]

99.7% of people.

Using the normal distribution, it is found that:

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The proportion between 45 and 55 years old is the p-value of Z when X = 55 subtracted by the p-value of Z when X = 45, then:

X = 55:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55 - 50}{4}[/tex]

[tex]Z = 1.25[/tex]

[tex]Z = 1.25[/tex] has a p-value of 0.8944.

X = 45:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55 - 50}{4}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a p-value of 0.1057.

0.8944 - 0.10567= 0.7887.

0.7887 = 78.87% of the alligators are between 45 and 55 years old.

For the second question, by the Empirical Rule, 99.7% of people should be seen by the doctor between 11 and 23 minutes for this to be considered a normal distribution.

To learn more about normal distribution, you can take a look at https://brainly.com/question/24663213

Answer:

-3 is the value of the location where the line crosses the y-axis,and is commonly referred in the slope-intercept form of a line "the intercept". Now it may be your teacher expects you to answer this as the point on the plane where the y-intercept occurs, and that should be the point (0, -3). Make sure you follow your teacher's notation.

Step-by-step explanation:

Re-write the equation given in slope=intercept form by isolating the variable "y" on one side of the equation and expressing the rest in slope*x + y-intercet form:

[tex]-2y-4x-6=0\\-4x-6=2y\\y=-2x-3\\[/tex]

which tells us that the slope of the line is -2 and it y-intercept is "-3".

Now, watch out because you may be asked to write the actual coordinates of the y-intercept, which are: (0, -3)

giving the x-coordinate 0 and the y-value where the line crosses the y-axis.

Answer:

-3.

Step-by-step explanation:

-2y - 4x - 6 = 0

-2y = 4x + 6

y = -2x - 3

So, the y-intercept is (0, -3).

Hope this helps!

Answer:

b

Step-by-step explanation:

Answer:

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

Step-by-step explanation:

First, let is find the total amount of fir trees that occupies the area of 24 hectares. (1 hectare = 10000 square meters)

[tex]n = \sigma \cdot A[/tex]

Where:

[tex]\sigma[/tex] - Surface density, measured in trees per square meter.

[tex]A[/tex] - Total area, measured in square meters.

Given that [tex]\sigma = \frac{1}{20}\,\frac{tree}{m^{2}}[/tex] and [tex]A = 24\,h[/tex], the total amount of fir trees is:

[tex]n = \left(\frac{1}{20}\,\frac{trees}{m^{2}} \right)\cdot (24\,h)\cdot \left(10000\,\frac{m^{2}}{h} \right)[/tex]

[tex]n = 12000\,trees[/tex]

It is known that one-tenth of the tress are cut, whose amount is:

[tex]n_{c} = 0.1 \cdot n[/tex]

[tex]n_{c} = 0.1 \cdot (12000\,trees)[/tex]

[tex]n_{c} = 1200\,trees[/tex]

If each tree will yield 300 board-feet, then the yield related to the trees that are cut is:

[tex]y = S\cdot n_{c}[/tex]

Where:

[tex]S[/tex] - Yield of the tress, measured in board-feet per tree.

[tex]n_{c}[/tex] - Amount of trees that will be cut, measured in trees.

If [tex]n_{c} = 1200\,trees[/tex] and [tex]S = 300\,\frac{b-ft}{tree}[/tex], then:

[tex]y = \left(300\,\frac{b-ft}{tree} \right)\cdot (1200\,trees)[/tex]

[tex]y = 360000\,b-ft[/tex]

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

Answer:

w = 77°

Step-by-step explanation:

From the picture attached,

WXYZ is a quadrilateral having 4 interior angles,

m∠y = 90°

Therefore, (2x - 10) = 90°

2x = 90 + 10

2x = 100

x = 50

Now, m∠z = (x + 15)° = 65°

m∠x = (3x - 22)° = 150 - 22

                          = 128°

Sum of interior angles of a polygon = (n - 2)×180°

where n = Number of sides of the polygon

If n = 4,

m∠u + m∠x + m∠y + m∠z = (4 - 2) × 180°

w + 128 + 90 + 65 = 360

w = 360 - 283

w = 77°

Therefore, measure of w = 77°

Answer:

3times

Step-by-step explanation:

Baking Process: repeatedly rolling out and folding the dough to make layers

Soon Yi starts with a layer of dough = 2millimeters

Each time Soon Yi rolls and folds the dough, the thickness increases by 8 % = 1 + 8 %

When time = 1

Thickness = 2(1 + 8 %) = 2(1+0.08)

= 2(1.08) = 2.16

For time = n

Thickness = 2(1 + 8 %)^n = 2(1.08)^n

When thickness ≥ 2.5mm, n= ?

2.5 = 2(1.08)^n

2.5/2 = (1.08)^n

1.25 = (1.08)^n

Since the numbers are close (1.25 and 1.08), we can compute by multiplying 1.08 by itself till we get 2.5.

1.08 ×1.08× 1.08 = 1.259712

(1.08)³ is a bit above 1.25

2(1.08)³ satisfies the thickness of at least 2.5mm

Let's check our answer using the formula:

When n = 3

2(1.08)³ = 2 × 1.259712 = 2.519424

This satisfies the thickness of at least 2.5mm

Therefore, the smallest number of times Soon Yi will have to roll and fold the dough so that the resulting dough is at least 2.5 mm = 3

Answer:

Velocity = 4.22 m/s

Step-by-step explanation:

Time = 1 second

Radius = 6.1 cm

Diameter = 12.2 cm = 0.122 m

Displacement = Revolution × π × Diameter

Displacement = 11 × 3.14 × 0.122

Displacement = 4.22 m

Now, Linear velocity:

Velocity = displacement / Time

Velocity = 4.22 / 1

Velocity = 4.22 m/s

Answer:  4.216 meters per second

Step-by-step explanation:

Notes: Use the following conversions:

                                                                1 revolution = 2π

                                                                100 cm = 1 meter

and the following formula: v = ωr/t where v is in meters per second

[tex]\dfrac{11\ revolutions\times 6.1\ cm}{1\ second}\times \dfrac{2\pi}{1\ revolution}\times \dfrac{1\ meter}{100\ cm}=\dfrac{1.342\pi\ meters}{second}\\\\\\=\large\boxed{\dfrac{4.216\ meters}{second}}}[/tex]

Answer:

p = 5.50b

Step-by-step explanation:

2 beach balls cost 11

4 beach balls cost 22

6 beach balls cost 33

So each (1) ball b costs 5.50 ($) p

Answer:

x=-2/3

Step-by-step explanation:

1st you have to get rid of the number next to the x value

so you divide

Answer:

x = -2/3

Step-by-step explanation:

3x = -2

Divide both sides by 3.

3x/3 = -2/3

x = -2/3

Answer:

first and last options

Step-by-step explanation:

Difference of squares are in the form a² - b². The only choices that satisfy this are 25x² - 36 and 1 - 16x².

Answer:

1 and 4

Step-by-step explanation:

Answer:

Correct answer is option D.

Step-by-step explanation:

Given that [tex]\triangle ABC[/tex] in the image 1 attached.

If we have a look at the image attached, the coordinates are:

[tex]A(1,1)\\B(2,5)\ and\\C(4,1)[/tex]

To find reflection of a point across any line, the distance of points from the line must be same.

Point A(1,1) lies on the line x = 1, so its reflection A' will be at the same point A'(1,1).

Point C(2,5) is at a distance 1 from x = 1 on right side, so C' will be 1 distance on the left side of x = 1 i.e. 1 will be subtracted from its x coordinate.

i.e. C'(1 - 1, 5)

C'(0, 5)

Point B(4, 1) is at a distance 3 from x = 1 on right side, so B' will be 3 distance on the left side of x = 1 i.e. 3 will be subtracted from its x coordinate.

i.e. B'(1 - 3, 1)

B'(-2, 1)

When we plot the above point A', B' and C', we get the option D as correct.

The vertices of the triangle after reflection across the line x = 1 are:

A'(1, 1),

B'(-2, 1),

and C'(0, 6).

The correct option is D.

Given information:

As per the diagram,

The vertices of the triangle are:

A(1, 1),

B(4, 1),

and C(2, 6).

To find the reflection of the triangle across the line x = 1, we can apply the reflection transformation.

The line x = 1 acts as the mirror or reflection axis. To reflect a point across this line, we can imagine folding the image over the line so that the distance between the point and the line is preserved, but the point is now on the other side of the line.

Let's reflect each vertex of the triangle across the line x = 1:

Reflecting point A(1, 1):

The distance between point A and the line x = 1 is 0 since A lies on the line itself. Therefore, the reflection of point A will also be (1, 1).

Reflecting point B(4, 1):

The distance between point B and the line x = 1 is 3 units. Reflecting across the line x = 1 will place B 3 units to the left of the line, resulting in the point (1 - 3, 1), which simplifies to (-2, 1).

Reflecting point C(2, 6):

The distance between point C and the line x = 1 is 1 unit. Reflecting across the line x = 1 will place C 1 unit to the right of the line, resulting in the point (1 - 1, 6), which simplifies to (0, 6).

Therefore, the vertices of the triangle after reflection across the line x = 1 are:

A'(1, 1),

B'(-2, 1),

and C'(0, 6).

To learn more about the reflection;

https://brainly.com/question/11232423

#SPJ6

Answer:

D

Step-by-step explanation:

Suffrage is the right to vote, and the nineteenth amendment gave women the right to vote, and the indian citizenship act of 1924 gave native americans the right to vote

Answer:

it's 22.5

Step-by-step explanation:

You do 25% of 90 =22.5

Answer:

£120

Step-by-step explanation:

A reduction of 25% of the price, means the price of the dress in sale is 75%.

⇒ £90 →75%

    X→100%

⇒ the price before the reduction= X=(90×100)÷75=£120