help me on this please ​

Answer:

1/3 and 5/7. that's number one I think

Answer:

Uhh what??

Step-by-step explanation:

Do you mean like 1.75 in a decimal form??

The probability of the teacher choosing 2 sophomores, then 2 freshmen is approximately 0.04136 or 4.136%.

To find the probability of the teacher choosing 2 sophomores, then 2 freshmen, we need to calculate the probability of each event and multiply them together.

Let's start with the probability of choosing 2 sophomores first.

The total number of students to choose from is 21 sophomores + 8 freshmen = 29 students.

The probability of choosing the first sophomore is 21/29 since there are 21 sophomores out of the total 29 students.

After choosing the first sophomore, there are now 20 sophomores left out of 28 remaining students.

Therefore, the probability of choosing the second sophomore is 20/28.

To find the probability of choosing 2 sophomores, we multiply these probabilities together:

(21/29) * (20/28) = 420/812 ≈ 0.517

Now, let's move on to the probability of choosing 2 freshmen.

After selecting 2 sophomores, there are 29 - 2 = 27 students left to choose from.

The probability of choosing the first freshman is 8/27 since there are 8 freshmen out of the remaining 27 students.

After choosing the first freshman, there are now 7 freshmen left out of 26 remaining students.

Therefore, the probability of choosing the second freshman is 7/26.

To find the probability of choosing 2 freshmen, we multiply these probabilities together:

(8/27) * (7/26) = 56/702 ≈ 0.08

Finally, to find the probability of the teacher choosing 2 sophomores, then 2 freshmen, we multiply the probabilities of each event together:

(0.517) * (0.08) ≈ 0.04136

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Given the position function r(t) = ti + (2t^2 + 7)j, we can find the velocity and acceleration vectors by taking the first and second derivatives of r(t) with respect to time t.

1. Find the velocity vector v(t) by taking the first derivative of r(t):

v(t) = dr(t)/dt

= (d(t)/dt)i + (d(2t^2 + 7)/dt)j v(t)

= (1)i + (4t)j

2. Find the acceleration vector a(t) by taking the second derivative of r(t):

a(t) = dv(t)/dt

= (d(1)/dt)i + (d(4t)/dt)j a(t)

= (0)i + (4)j

Now we can find the velocity and acceleration vectors at t = 0:

v(0) = (1)i + (4*0)j

= i a(0)

= (0)i + (4)j

= 4j

So the velocity vector at t = 0 is v(0) = i, and the acceleration vector at t = 0 is a(0) = 4j.

To sketch them as vectors on the curve, draw the parabola y = 2x^2 + 7. At the point (0,7), which corresponds to t = 0, draw the velocity vector as a horizontal arrow pointing to the right (since it is i), and draw the acceleration vector as a vertical arrow pointing upward (since it is 4j).

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Answer:

Length = 20, width = 14

Step-by-step explanation:

Let  L  represent length.

Let W  represent width.

Since the length is 6 yd longer than its width:  L  =  6 + W

The formula for perimeter:  P  =  2L + 2W    

Since the perimeter is 68 yds:     68 =  2L + 2W

Substituting:                             68  =  2(6 + W) + 2W

                                               68  =  12 + 2W + 2W

                                              68  =  12 + 4W  

                                               32  =  4W

                                                W  =  8 yds

Since  L  =  6 + W  --->  L  =  14 yds

Answer: Length = 20, width = 14

Step-by-step explanation:

Let width be w, and length be w + 6.

Perimeter of a rectangle = 2l + 2w

                                  68  = 2(w + 6) + 2w

                                  68  = 2w + 12 + 2w

                                  68  = 4w + 12    [subtract 12 from both side]

                                  56  = 4w            [Divide 4 from both side]

                                   w   = 14

Plug w in l, where l = w + 6 = 14 + 6 = 20

Answer:

B. 30

Step-by-step explanation:

The mosaic tile has a trapezoidal shape, so that its area can be determined as follows;

Area of a trapezium = \(\frac{1}{2}\)(a + b)h

where: a and b represent the length of its plane sides, and h is the height.

Area of a mosaic tile =  \(\frac{1}{2}\)(4 + 6) 4

                                  = 10 x 2

Area of a mosaic tile = 20 square inches.

But, Dan wants to cover a 600 square inch area.

So that the number of tiles needed = \(\frac{600}{20}\)

                                       = 30

The number of mosaic tiles needed by Dan is 30.

Answer:

0.858 ft^2

Step-by-step explanation:

The area of shaded region = Area of the square - Area of Circle

here

length = diameter=2ft

so, radius= diameter/2=2/2=1ft

Now

Area of square= length*length=2*2=4 ft^2

Area of circle=πr^2=π*1^2=π ft^2

again

The area of shaded region = Area of the square - Area of Circle

The area of the shaded region = 4ft^2-πft^2=0.858 ft^2

Based on the definition of congruent angles, the value of x is: 23.

Congruent angles have the same measure. Examples of angles that are congruent are:

Thus:

(5x + 16) = (6x - 7) -- congruent angles

Combine like terms

5x - 6x = -16 - 7

-x = -23

x = 23

Therefore, based on the definition of congruent angles, the value of x is: 23.

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The percentage of the employed population are people older than 40 who do not work in the hospitality industry is B. 17%.

The city's residents work in the hospitality industry = 28%

The residents that are age 40 or younger, and 15% of residents are people age 40 or younger = 55%

Those who work in the hospitality industry that are younger than 40% = 15%

Therefore, those that don't work in the industry will be:

Percentage of 40 or older - Percentage of those working

= (100 - 55%) - 28%

= 45% - 28%

= 17%

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The total amount of money that was spent by Petra in the purchase of a pair of jeans and a T-shirt is equal to $34.79.

Given the following data:

To determine how much Petra spend:

In this exercise, you're required to calculate the total amount of money that was spent by Petra in the purchase of a pair of jeans and a T-shirt.

Hence, we would sum up the cost of each of the items to determine the total cost.

\(Total \;cost=Cost\;of\;jean + Cost\;of\;Tshirt\\\\Total \;cost=28.39+6.40\)

Total cost = $34.79

Complete Question:

Petra buys a pair of jeans for $28.39 and a T-shirt that costs $6.40. How much does Petra spend?​

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According to Weber's law, two items must differ in weight by "5 percent"of weight in order to detect a difference.

We are given that Weber's law

For weight discrimination, Weber’s law states that the JND is proportional to the weight of the stimulus.

The JND is defined as the smallest difference between two weights that can be detected by an observer.

The proportionality constant is known as Weber’s fraction and varies depending on the type of stimulus and the sensory modality involved.

For weight discrimination, Weber’s fraction is typically around 2-3%.

This means that two items must differ in weight by approximately 2-3% of their weight in order to detect a difference.

The difference of weight in percent is 5%, the correct option is A.

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Answer:  We can use the Pythagorean theorem to find the length of the hypotenuse (c) of a right triangle, which is given by:

c^2 = a^2 + b^2

where a and b are the lengths of the legs.

In this case, a = 4 and b = 6. Substituting these values into the formula, we get:

c^2 = 4^2 + 6^2

c^2 = 16 + 36

c^2 = 52

Taking the square root of both sides, we get:

c = sqrt(52)

Simplifying, we can factor out a 4 from under the radical:

c = sqrt(4 * 13)

c = 2 sqrt(13)

Therefore, the exact length of the hypotenuse is 2 sqrt(13) units.

Step-by-step explanation:

Answer:

Step-by-step explanation:

<B is a complement of <A

=> m<A + m<B = 180°

65.2° + m<B = 180°

m<B = 180° - 65.2° =114.8°

Answer:

24.8

Step-by-step explanation:

Complementary means they add u to 90°. So to find the  measurement of ∠B you must subtract ∠A from 90°. ∠A = 65.2. 90 - 65.2 = ∠B.   90 - 65.2 = 24.80°

The probability of tossing at least one head in three tosses of a fair coin is 7/8 i.e seven eighths.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The probability of an event A is denoted as P(A)

Here we have

A fair coin is tossed three times

When a coin is tossed number of outcomes = 2

Number of outcomes that we get 1 tail = 1

The probability of getting a tail = 1/2

Hence,

The probability of getting tails on the 1st toss = 1/2

The probability of getting tails on the 2nd toss = 1/2

The probability of getting tails on the third toss = 1/2

The probability of getting at least one head is equal to 1 minus the probability of getting all tails, which is:

=> 1 - (1/2) x (1/2) x (1/2) = 7/8

=> 1 - 1/8 = 7/8

Therefore,

The probability of tossing at least one head in three tosses of a fair coin is 7/8 i.e seven eighths.

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Answer/Exaplantion:

Given, a coin is tossed 3 times.We have to find the probability of getting at least one head.The possible outcomes areT H HH T HH H TT T HT H TH T TT T TH H HWe observe that there is only one scenario in throwing all coins where there are no heads.The chances for one given coin to be heads is 1/2.The chance for all three to have the same result would be (1/2)3= (1/2)(1/2)(1/2)= 1/8So, the probability to have atleast one head is 1 - 1/8= (8 - 1)/8= 7/8Therefore, the probability of getting at least one head is 7/8.

The approximate probability of getting a z-score between +1 standard deviation and +2.5 standard deviations in a standard normal distribution is 0.1525.

To find the area under the standard normal curve between +1 standard deviation and +2.5 standard deviations, we can use a standard normal distribution table or calculator. Here are the steps:

Therefore, the area under the standard normal curve between +1 standard deviation and +2.5 standard deviations is approximately 0.1525.

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Answer:

Step-by-step explanation:

Here you go mate

step 1

k^2+8k+22=6​  equation

step 2

k2+8k+22(-6)=6(-6)  subtract -6

k2+8k+16=0

step 3

k2+8k+16=0  factor

(k+4)(k+4)=0

step 4

(k+4)(k+4)=0  set the numbers equal to zero

answer

k=-4

Answer:

f(x) does not have an inverse function, because its graph fails the horizontal line test. ⇒ A

Step-by-step explanation:

The vertical line test is used to show that the graph represents a

function or not

The horizontal line test is used to show that the function has an

inverse or not

Let us look at the given graph

→ The graph represents a parabola, which represents the function f(x)

∵ Any horizontal line drawn will cross the graph in more than one point

∴ f(x) has no inverse

∴ f(x) does not have an inverse function, because its graph fails the

  horizontal line test.

Compared with the graph of the parent function, an equation which shows only a vertical compression by a scale factor of 1/3 and a shift downward of 4 units is: A. y = 1/3∛x - 4.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (1/3x, 1/3y)

Where:

In this scenario, the only equation that is vertically compressed by a scale factor of 1/3 and translated (shifted) downward by 4 units is given by:

y = 1/3∛x - 4.

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Answer:

The first part is A

and second part is D

Step-by-step explanation:

100% on edge 2023

Answer:

3x10 15x2 5x6

Step-by-step explanation:

Step-by-step explanation:

mark me as the brainliest

Answer: Your answer will be \(x=7\)

If it's okay, I would like someone to talk to. My email address is jeremiah.mccrocklin06 at symbol g mail . com

The area of the squares are

A = 17 units², B = 20 units², C = 13 units², and D = 37 units²

Count the number of complete squares that are fully contained within the shape. Start from one corner of the shape and count each square until you reach the opposite corner. Include any partial squares as well.

If there are partial squares, estimate the area they cover. You can do this by visualizing how much of each square is filled by the shape and approximate the area accordingly.

Add up the areas of the complete squares and the estimated areas of the partial squares to find the total area of the shape.

Here we have 4 squares A, B, C, and D

Now count the number of unit squares covered by each square

Number of squares covered by A =  17

Hence, the Area of Square A = 17 units²

Number of squares covered by B = 20

Hence, the Area of square B = 20 units²

Number of squares covered by C = 13

Hence, the Area of square C = 13 units²

Number of squares covered by D = 37

Hence, the Area of square D = 37 units²

Therefore,

The area of the squares are

A = 17 units², B = 20 units², C = 13 units², and D = 37 units²

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Complete Question is attached below

Answer:

Step-by-step explanation:

Say the cost for plumbing services be y

and also the charges for any number of hours be x

we can model the cost as given that the flat rate is $100 and an additional $35 per hour

y=35x+100

From the expression above we can see that come what may Paula's earnings for a house call will be greater than $135 so long as Pauls spent an hour which will also give an amount greater than or equal to $35

If a bank receives a new deposit of $15,000, the bank can lend out $13,785.

The required reserve ratio is the fraction of deposits that banks must hold as reserves. If the current required reserve ratio is 8.1% and a bank receives a new deposit of $15,000, they can lend out $13,785.

The bank can lend out the amount equal to the deposit minus the required reserve amount. In this case, the new deposit is $15,000 and the required reserve ratio is 8.1%, so the calculation is as follows:

Required reserve amount = Deposit × Required reserve ratio

Required reserve amount = $15,000 × 0.081

Required reserve amount = $1,215

The bank must hold $1,215 as required reserves and can lend out the remaining amount:Amount available for lending = Deposit − Required reserve amount

Amount available for lending = $15,000 − $1,215

Amount available for lending = $13,785

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A person pays $1 to play a certain game by rolling a single die once. if a 1 or 2 comes up, the person wins nothing. if, however, the player rolls a 3, 4, 5, or 6 he or she wins the difference between the number rolled and $1, this means that the game is not fair, based on the expected value

We can see that the expected value of the game can be found by multiplying each payout by its probability of occurring and then summing up the results:Expected value = (0.2)($1) + (0.2)($1) + (0.2)($2) + (0.2)($3) + (0.2)($4) + (0.2)($0) + (0.2)($0)Expected value = $0.40 Since the expected value of the game is positive, it means that, over the long run, players are expected to make money on average. This means that the game is not fair.

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Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

The maximum Number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

To find the maximum number of  scholars in each row, we need to determine the  topmost common divisor( GCD) of the total number of  scholars in each section. The GCD represents the largest number that divides all the given  figures unevenly.  

Given that there are 24, 36, and 60  scholars in the three sections, we can calculate the GCD as follows    Step 1 List the  high factors of each number  24 =  23 * 31  36 =  22 * 32  60 =  22 * 31 * 51    

Step 2 Identify the common  high factors among the three  figures  Common  high factors 22 * 31    Step 3 Multiply the common  high factors to find the GCD  GCD =  22 * 31 =  4 * 3 =  12  

 thus, the maximum number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

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