In designing an experiment involving a treatment applied to 3 test​ subjects, researchers plan to use a simple random sample of 3 subjects selected from a pool of 59 available subjects.​ (Recall that with a simple random​ sample, all samples of the same size have the same chance of being​ selected.) Answer the questions below.
How many different simple random samples are​ possible?

There are 8 zeroes at the end of \(20!^{2}\)

Here, we are given an expression- \(20!^{2}\)

To find the number of zeroes in any expression, we need to find the number of multiples of 10 in the expression.

10 is made up of 2 prime numbers, that are- 2 and 5

Thus, the number of multiples of 5 and 2 will give us the number of zeroes.

In 20!, the multiples of 5 will be- 5, 10, 15 and 20

⇒ there are total 4 multiples of 5 in 20!

Now, looking at the multiples of 2, we can see that there will definitely be more than 4 multiples, some of them are- 2, 4, 6, 8, 10 and so on

But since there are only 4 multiples of 5, there will be only 4 multiples of 10 and hence only 4 zeroes in the expansion of 20!

If we square 20!, the number of zeroes will also double and become 8

Thus, there are 8 zeroes at the end of \(20!^{2}\)

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The asked net for the cube of side length 2 cm has been shown.

The surface area is defined as a region of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
The cube of side length 2 cm is given we have to draw the net for the given cube.

So first we calculate the surface area,

surface area of the cube  = 6 [a]²
surface area = 6 (2)² = 24 cm²

Here, as the cube has 6 faces, unbind the cube on the coordinate plate.

Thus. the required net for the cube has been shown.

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Answer:

A. is the correct answer

Step-by-step explanation:

Stay safe.

Answer:

\(\angle N\cong \angle Z\)

Step-by-step explanation:

Given:

In ΔLMN and ΔXYZ, \(MN=3\,,\,LN=2\,,\,YZ=9\,,\,XZ=6\)

To find: criteria that needs to be shown to prove ΔLMN \(\sim\) ΔXYZ using SAS similarity theorem

Solution:

According to SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle between the sides are congruent, then the two triangles are said to be similar.

In ΔLMN and ΔXYZ,

\(\frac{LN}{XZ}=\frac{2}{6}=\frac{1}{3}\\\frac{MN}{YZ}=\frac{3}{9}=\frac{1}{3}\\\therefore \frac{LN}{XZ}=\frac{MN}{YZ}\)

So, ΔLMN \(\sim\) ΔXYZ by SAS similarity theorem if \(\angle N\cong \angle Z\)

For both triangles to be proven to be similar by the SAS similarity theorem, the additional information needed to be shown is a pair of congruent included angles, which is: a. ∠N ≅ ∠Z

The SAS Similarity Theorem states that two triangles are similar to each other if they have two pairs of corresponding sides that are proportional to each other and a pair included angles that are congruent.

△LMN and △XYZ have:

two pairs of corresponding sides that are proportional (YZ/MN = XZ/LN = 3)

Therefore, for both triangles to be proven to be similar by the SAS similarity theorem, the additional information needed to be shown is a pair of congruent included angles, which is: a. ∠N ≅ ∠Z

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Answer:

ME! but that's not a real question on top right

Answer:

I love Damon so much

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

dividend

Step-by-step explanation:

Answer:

D) 5 * (19 + 11) = r

Step-by-step explanation:

Monday -> 19 miles

Tuesday -> 11 miles

Monday and Tuesday Combined -> 19 + 11

Wednesday - Five times the combined amount for Monday and Tuesday -> 5 * (19 + 11)

Hope this helps!

The fraction of the recipes has she not made is 112/125

How many new recipes can be made in a year?

The number of new recipes that can be made in a year is a function of the number of recipes per week and the number of weeks in a year

Total recipes in 1 year=2 recipes per week*52 week

Total recipes in 1 year=104 recipes

Out of the 1,000 recipes , only 104 recipes would have been made in a period of 1 year, which means that the recipes not yet made is 1000 recipes minus 104 recipes

recipes yet to be made=1000-104

recipes yet to be made=896

The fraction of the recipes has she not made=recipes yet to be made/total recipes

The fraction of the recipes has she not made=896/1000

divide both numerator and denominator by 8

The fraction of the recipes has she not made=112/125

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The number of flu virus particles in a person's body after 1 day is 28.46 billion, based on the given polynomial function.

The polynomial given to us is, y = −0.74x⁴ + 2.8x³ + 26.4 which describes the billions of flu virus particles in a person’s body. To find the number of virus particles in a person's body after 1 day, we need to substitute x = 1 into the given polynomial and evaluate it.

So, we have,

y = -0.74(1)⁴ + 2.8(1)³ + 26.4

= -0.74 + 2.8 + 26.4

= 28.46

Therefore, the number of virus particles in a person's body after 1 day is 28.46 billion.

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Complete question - The polynomial y=−0.74x⁴ + 2.8x³ + 26.4 describes the billions of flu virus particles in a person’s body x days after being infected. find the number of virus particles, in billions, after 1 day.

Given:

Dimensions of the cube: 14 × 14 × 14

The height of the square pyramid: 24

To find:

The volume of the given solid.

Step-by-step solution:

We know that:

The volume of the cube = a³

The volume of the square pyramid = a² (h/3)

The Total volume of the figure = The volume of the cube + The volume of the square pyramid.

The Total volume of the figure = a³ + a² (h/3)

The Total volume of the figure = (14)³ + (14)² (24/3)

The Total volume of the figure = 2744 + 196 × 8

The Total volume of the figure = 2744 + 1568

The Total volume of the figure = 4312 cube units

Final answer:

Thus we can say that the final volume of the figure is 4312 cube units.

The total number of leaves the tree has is :

19 where  the degrees of the non-leaf vertices are 10, 7, 4, and 4.

Given:

a tree contains some number of leaves (degree 1 vertices) and four non-leaf vertices.

the degrees of the non-leaf vertices are 10, 7, 4, and 4.

how many leaves does the tree have = ?

The degree of the non leaf vertices are 10, 7, 4, 4

let the number of leaves be = k

So the tree has 4+k vertices.

and hence (4+k)-1 edge ⇒ 3+k

so ∑ deg(v) = 10+7+4+4+1k

                   = 25+k

and 2[E(T)] = ∑ deg(v)

2(3+k) = 25+k

6 + 2k = 25+k

2k-k = 25-6

k = 19

Hence the number of leaves the tree have is 19.

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Answer:

B- nearly symmetrical

Step-by-step explanation:

it’s not perfect, and it’s not skewed in either direction so it leaves b, nearly symmetry

Answer:

C. g(x) = -2^x

Step-by-step explanation:

----------

The function shown in the graph is C. g(x) = -2ˣ.

Exponential functions are functions where the independent variable, x is in the exponent.

Given is a graph of a  function.

The graph must be a negative function since as the value of x increases, the value of y decreases and the y value is always negative.

The graph of |x| is a straight line.

Similar in the case of x also, y = x is a straight line.

The graph of the function x² will be a parabola since the highest exponent is 2.

So the graph is that of a exponential function.

Since it is negative g(x) = -2ˣ is the required function.

Hence the required function is g(x) = -2ˣ.

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The simplified form of the expression ( a⁻⁴ / 2 × b² )³ is a⁻¹² / 8b⁶

Given,

a raised to the negative fourth power over quantity 2 times b squared end quantity all cubed.

The expression : ( a⁻⁴ / 2 × b² )³

Simplify the expression :

( a⁻⁴ / 2 × b² )³

= a⁻⁴⁽³⁾ / 2³ ˣ b²⁽³⁾

= a⁻¹² / 2³ ˣ b⁶

= a⁻¹² / 8b⁶

Therefore, the simplified form of the expression ( a⁻⁴ / 2 × b² )³ is a⁻¹² / 8b⁶

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Answer:

The adult's ticket cost $15 and the child's ticket cost $13

Step-by-step explanation:

System of Equations

Let's call:

x = price of the adult's ticket

y = price of the child's ticket

Three adults and four children must pay $97, thus:

3x + 4y = 97       [1]

Two adults and three children must pay $69, thus:

2x + 3y = 69      [2]

Multiplying [1] by -2 and [2] by 3:

-6x - 8y = -194       [3]

6x + 9y = 207         [4]

Adding [3] and [4] (the x's cancel out):

-8y + 9y = 13

y = 13

From [1]

3x + 4*13 = 97

3x + 52 = 97

Subtracting 52:

3x = 45

Dividing by 3:

x = 15

The adult's ticket cost $15 and the child's ticket cost $13

Hi there, here's your answer:

Given the equation p(x) = 2x - 7 = 9

Taking 7 to the right hand side we get

2x  = 9 + 7 = 16

Or

x = 8

Thus, the required solution for this equation is x = 8.

Hope it helps! Please mark as brainliest!

Answer:

\( \sf \: x = 8\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 2x - 7 = 9

Then the value of x will be,

→ 2x - 7 = 9

→ 2x = 9 + 7

→ 2x = 16

→ x = 16 ÷ 2

→ [ x = 8 ]

Hence, the value of x is 8.

Answer:

8/25

Step-by-step explanation:

5+8+12=25
8/25

Answer: 8/25

Step-by-step explanation:

Find probability with item/total.

total is 25

there are 8 chocolate chip cookies

8/25 is your answer

HOPE THIS HELPS _ MM

Answer:

0

Step-by-step explanation:

-4 times -6x is 24x and-4 x -3 = 12

isolating 24x on the right side we subtract twelve on the right and on the left to get 24x=0 and 24 divided by zero is 0

Answer:

I think the answer is x=0

Step-by-step explanation:

To determine statistical significance, the probability of making a type I error depends on the criterion that is used to accept or reject the null hypothesis. This criterion is known as the alpha.

A Type I error is a type of error in which the null hypothesis is rejected when it is actually true. It reflects concluding that results are statistically significant when, in actuality, they came about purely by chance or because of unrelated factors. The risk of committing the type I error is the significance level (alpha ) you choose.

An alpha value of 0.05 indicates that you can accept a 5% chance that you are wrong when you reject the null hypothesis.

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The statistical technique used to estimate future values by successive observations of a variable at regular intervals of time that suggest patterns is called trend analysis.

Trend analysis is a statistical technique that helps identify patterns and tendencies in a variable over time. It involves analyzing historical data collected at regular intervals to identify a consistent upward or downward movement in the variable.

By examining the sequential observations of the variable, trend analysis aims to identify the underlying trend or direction in which the variable is moving. This technique is particularly useful when there is a time-dependent relationship in the data, and past observations can provide insights into future values.

Trend analysis typically involves plotting the data points on a time series chart and visually inspecting the pattern. It helps in identifying trends such as upward or downward trends, seasonality, or cyclic patterns. Additionally, mathematical models and statistical methods can be applied to quantify and forecast the future values based on the observed trend.

This statistical technique is widely used in various fields, including finance, economics, marketing, and environmental sciences. It assists in making informed decisions and predictions by understanding the historical behavior of a variable and extrapolating it into the future.

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Answer:

the first one i think

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The term which best describes the pattern of occurrence of the diseases noted below in a single area is an Epidemic. Option B.

According to the given question, Disease 1: usually no more than 2-4 cases per week; last week, 13, This type of disease pattern shows an epidemic. An epidemic is a widespread outbreak of an infectious disease in a community or region, which is more cases than expected. A disease that occurs frequently in a particular region or population and is maintained at a stable level is called an endemic. For instance, Malaria is endemic in many parts of Africa, whereas Yellow Fever is endemic in South America. Hence, the term which best describes the pattern of occurrence of the diseases noted below in a single area is an Epidemic.

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Answer:

X=11

Step-by-step explanation:

5x+9+4x+5+7x-10=180°

5x+4x+7x+9+5-10=180°

16x+4=180°

16x=180°-4°

16x=176

X=11

Step Guide:

Step 1: Place your compass at W and extend it to X.

Step 2: Using the same length, place your compass at P and mark an arc.

Step 3: Using the straightedge, draw a line from P to meet the arc.

Step 4: Label the point of intersection of the line and the curve Q.

This gives segment PQ that is congruent to WX,

The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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The number of people who don't use any alternative transportation mode is 18 people.

To find the number of people who don't use any alternative transportation mode we can use the principle of inclusion and exclusion (PIE) method.

adding the number of people who use each mode:

walk = 144

bus = 102

bicycle = 105

Next, subtract the number of people who use two modes:

walk and bus = 78

walk and bicycle = 65

bus and bicycle 45

adding people who use all three modes:

all three modes of transportation = 34

Therefore, the total number of people who use at least one alternative mode of transportation is:

= 144 + 102 + 105 - 78 - 65 - 45 + 34

= 197

To find the number of people who don't use any alternative transportation. we need to subtract the number of people who use at least one alternative mode of transportation from the total number of people in the survey:

= 215 - 197

= 18

Therefore, The number of people who don't use any alternative transportation mode is 18.

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\(\frac{18.6}{x} =0.02\)    X is the "something" in this problem

\(x=\frac{18.6}{0.02}\)

\(x=930\)

Hope this helped :)