Assume that when adults with smartphones are randomly selected, 48% use them in meetings or classes. If 15 adult smartphone users are randomly selected, find the probability that exactly 11 of
them use their smartphones in meetings or classes.

What is the probability?

Answers

Answer 1

The probability that exactly 11 of them use their smartphones in meetings or classes is 3.89%

What is probability ?

Probability is the likelihood of something occurring. This branch of mathematics studies the nature of chance. It is expressed as a number between 0 and 1. Probability has been brought to mathematics in order to foresee the potential of events. Probability can be defined as the degree of likely that something will occur. The probability that the outcomes of a random experiment will be as expected can be calculated using this fundamental theory of probability, which is also applied to the probability distribution. To establish the probability that a particular event will occur, we must first determine the total number of choices.

x = 11

n= 15

P =48%

=0.48

P(x=11)=[tex]15C_{11} (0.48)^{11} (1-0.48)^{4}[/tex]

=1365(0.0003116403)(0.09150625)

=0.0389

=3.89%

The probability that exactly 11 of them use their smartphones in meetings or classes is 3.89%

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Related Questions

Consider the graph of the function f(x) = 2^x Which statements describe key features of function g if g(x) = f(x + 2)?

Answers

The statements that describe key features of function g if g(x) = f(x + 2) are;

a. y-intercept at (0,4)

b. domain of {x|-∞ < x < ∞}

c. horizontal asymptote of y = 0

What are the features of the Function?

We are given the function f(x) = 2^(x)

We want to find the features of the function g if;

g(x) = f(x + 2)

Let us first find f(x + 2);

g(x) = f(x + 2) = 2^(x + 2)

The y-intercept is when x = 0;

g(0) = 2^(0 + 2)

g(0) = 4

Some features in a function that limit the x values are: roots, fractions, etc.

g(x) = 2^(x + 2) does not have any restricting value of x.

This means the value of x ranges from negative infinity to positive infinity.

Hence, the domain is: (-∞, ∞)

Next, calculate the horizontal asymptote.

To do this, we plot the graph of g(x) --> see attachment

Then we trace a horizontal line from the horizontal part of the curve of g(x) till it gets to the y-axis.

From the attached graph of g(x), the line touches the y-axis at y = 0

So, the horizontal asymptote is: y = 0

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The missing options are;

a. y-intercept at (0,4)

b. domain of {x|-∞ < x < ∞}

c. horizontal asymptote of y = 0

d. horizontal asymptote of y=2

e. y-intercept at (0,1)​

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

divide and round to the nearest hundredths place. 4.05 divided 0.07

Answers

We have the next operation

[tex]\frac{4.05}{0.07}=57.857=57.86[/tex]

the result of this operation rounded to nearest hundredths place is 57.86

2x-5>3 and -4x+7<-25

whats the compound inequality and how would it be graphed

Answers

Answer:

  8 < x

  see attached for the graph

Step-by-step explanation:

You want the compound inequality and the graph that represents the solution to the system ...

  2x-5>3 and -4x+7<-25

Solution

The first inequality has the solution ...

  2x -5 > 3 . . . . . given

  2x > 8 . . . . . . . add 5

  x > 4 . . . . . . . divide by 2

The second inequality has the solution ...

  -4x +7 < -25

  -4x < -32 . . . . . . subtract 7

  x > 8 . . . . . . . . divide by -4

The solution is the intersection of these solution spaces:

  4 < x    and   8 < x

The intersection is ...

  8 < x . . . . . solution to the compound inequality

The graph is attached.

At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 28 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon. How many fencers are expected to not use the foil as their main weapon? (Round your answer to the nearest whole number.)

Answers

Based on the percentage of fencers who said they used foil as their main weapon when surveyed, the number of fencers out of 28 fencers who would not use foil as their main weapon is 11 fencers

How to find the number of fencers?

The random survey showed that in a given sample, there would be 60% of fencers who would prefer to use foil as their main weapon. This means that the percentage of fencers who would not use foil as their main weapon is:

= 1 - percentage who use foil as main weapon

= 1 - 60%
= 40%

If 28 fencers are randomly surveyed, the percentage of them who would not use foil as their main weapon would be expected to be:

= Number of fencers x Percentage who don't use foil as main weapon:

= 28 x 40%

= 11.2 fencers

= 11 fencers to the nearest whole number

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Please help I’ll mark you as brainliest if correct!!

Answers

The set of letters in the word 'woodpecker' using the most concise method is {c, d, e, k, o, p, r, w}

Writing the elements of a set

From the question, we are to write the set of letters of the given word.

The word is 'woodpecker'

We are to write the set using the listing (roster) method or the set builder notation.

The roster method or listing method is a way to show the elements of a set by listing the elements inside of brackets

Set builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy

The set builder notation is not a suitable method to list the elements of the given word.

The most concise method to list the elements of the given word, 'woodpecker', is the listing (roster) method.

Thus,

Using the listing (roster) method,

The set of letters of the given word is {c, d, e, k, o, p, r, w}

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Molly grows corn on her farm to sell for pig feed. one of her fields produced 176.4 bushels of corn this year . if corn is currently selling 3.75 per bushel, how much will molly earn from this field

Answers

This year, one of her fields yielded 176.4 bushels of corn. $661.5 will Molly make from this field if corn is now selling for $3.75 per bushel.

Given that,

On her farm, Molly raises corn that she sells for pig food. This year, one of her fields yielded 176.4 bushels of corn.

We have to find how much will Molly make from this field if corn is now selling for $3.75 per bushel.

We have to multiply

=176.4×3.75

=661.5

Therefore, $661.5 will Molly make from this field if corn is now selling for $3.75 per bushel.

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the functions f and g are defined as follows.
f (x) = -2x^3 - 3 g (x) = 2x + 4.
find f (-2) and g (-6)
Simplify your answers as much as possible.

Answers

Answer: [tex]f(-2)=13, g(-6)=-8[/tex]

Step-by-step explanation:

[tex]f(-2)=-2(-2)^3 -3=13\\\\g(-6)=2(-6)+4=-8[/tex]

The values of functions f(-2) and g(-6) are 13 and -8 respectively.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

It is given in the question  that:-

[tex]f (x) = -2x^3 - 3[/tex]

g(x) = 2x + 4

We have to find the values of f(-2) and g(-6).

Putting x = -2 in f(x), we get,

f(-2) = [tex]-2(-2)^3 - 3[/tex] = -2*(-8) - 3 = 16 - 3 = 13

Putting x = -6 in g(x), we get,

g(-6) = 2(-6) + 4 = -12 + 4 = -8

Hence, the values of functions f(-2) and g(-6) are 13 and -8 respectively.

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Find the savings plan balance after 6 months with an APR of 8% and monthly payments of $200

Answers

The savings account balance after six months with an 8% annual percentage rate and $200 monthly contributions is $202.6.

What does a savings plan formula serve?

Savings Plan Formula

The future worth of a savings or investment account in which you make regular deposits can be calculated using the formula below.

EXAMPLE 1 Assume you put $100 into a savings account each month that pays 7.3% interest that is compounded monthly.

To determine the saving plan balance after 6 month

First of all we have to calculate the growth factor

Growth factor =(1+(0.08/6)) per month

Growth factor= 1.013

Now let calculate the savings plan balance after 6 month

Saving plan balance after 6

Months =$200.00x1.0133

             = $202.6

From conclusion the saving plan balance after 6 month is=$202.6

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A friend lends you $720, which you agree to repay with 4% interest. How much will you have to repay? How much was the interest?

Answers

Answer: $16081.60

Step-by-step explanation:

1)

FV=3000(1.03)=$3090

2)

240*1.04=$249.60

3)

FV=14000(1.02)^7

FV=14000(1.1487)

FV=$16081.60

A sales representative receive a monthly salary of $1600 plus a commission of 3% of the total monthly sales. write a linear model that relates total monthly wages W to sales S

Answers

Answer:

The equation is W = 1600 + .03S

Using the digits 1 to 9 as many times as you want, fill in the boxes to create three equivalent ratios. _ : _ = _ _ : _ = _ _ : _ _

Answers

The  three equivalent ratios are given below .

What are equivalent ratios?

Ratios that can be streamlined or decreased to the same value are said to be equivalent. In other words, if one ratio can be written as a multiple of the other, then they are said to be equivalent. The ratios 1:2 and 4:8, 3:5 and 12:20, 9:4 and 18:8, and others are some examples of analogous ratios. To put it another way, two ratios are said to be equivalent if one of them can be written as the multiple of the other. Therefore, we must multiply the two values (antecedent and consequent) by the same number in order to obtain the equivalent ratio of another ratio. This approach is comparable to the approach for determining equivalent fractions.

1:9 , 99:11 , 9:11 , 1:99

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in a large bag of marbles, 20% of them are red. A child chooses 14 marbles from his bag. If the child uses the marbles at random what is a chance that the child gets less than six red marbles?

Answers

If the child uses the marbles at random what is the chance that the child gets less than six red marbles is given as   0.9561. See the calculation below.



What is the explanation given for the above solution?

Note that we are given the following:

p = 20% = 0.20

1 - p = 1 - 0.20 = 0.80

n = 14

Utilizing the binomial formula, we have:

P(X = x) = ((n! / x! (n - x)!) * px * (1 - p)n - x

P(X < 6) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)+  P(x = 4) + P(x = 5)  

Plugging in the value of n, we have:

=  ((14! / 0! (14)!) * 0.200 * (0.80)14 + ((14! / 1! (13)!) * 0.201 * (0.80)13 + ((14! / 2! (12)!) * 0.202 * (0.80)12 + ((14! / 3! (11)!) * 0.203 * (0.80)11 + ((14! / 4! (10)!) * 0.204 * (0.80)10 + ((14! / 5! (9)!) * 0.205 * (0.80)9

=  0.9561

As a result, the probability that the youngster would receive less than six red marbles is provided as 0.9561 if the marbles are used at random.

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1/4(n-6)= 1/4n-3/2

Hint: undo the fraction

Answers

1/4(n-6)=1/4n-3/2. We can say left side is equal to right side.

Given that,

1/4(n-6)=1/4n-3/2

We have to find the n value.

We have to 1st prove left side is equal to right side

We can split an equation into two parts, the left hand side and the right hand side. We refer to the LHS and RHS of the equation in abbreviated form. If the LHS and RHS are equal, then the equation is true; otherwise, the equation does not hold for at least some real number values.

First take the left side which is

1/4(n-6)

We multiply 1/4 to n-6

1/4n-1/4(6)

Now we divide 6/4

1/4n-3/2

See the right side

1/4n-3/2

Therefore,

left side is equal to right side.

1/4(n-6)=1/4n-3/2

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Solve for x: |x − 2| + 10 = 12 (1 point)

x = 0 and x = 4
x = −4 and x = 0
x = −20 and x = 4
No solution

Answers

Answer:

x=20 and x=4

Step-by-step explanation:

ASAP!! The Brown family baked 3 pies for Thanksgiving. They made a pumpkin pie, an apple pie, and a cherry pie. They ate 0.75 of the pumpkin pie, 0.5 of the apple pie, and 0.6 of the cherry pie How many pies did the Brown family eat in all? Record your answer as a decimal number.

Answers

Answer: The Brown family ate 1.85 pies in all

Step-by-step explanation: If you think about it all you have to do is 0.75+0.5= 1.25 and then you do 1.25+ 0.6  and then get 1.85 so they ate 1.85 pies in all

Hope this helped!!!!

Solve: (6x2 + 5x + 1) ÷ (x + 2).

A.) 6x - 7
B.) 6x - 7 - x/15 + 2
C.) 6x + 8
D.) 6x - 7 + 15/ x+ 2

Answers

Answer:

d

Step-by-step explanation:

Divide

6x2+5x+1

x+2

=6x−7+

15

x+2

What’s the correct answer answer asap

Answers

the answers is a. bones to bones

Fråga 5 20 poäng A farmer wants to plant a small rectangular plot of ornamental blue corn. He has enough fencing material to enclose a space with a perimeter of 144 feet. He wants to know the dimensions of the largest rectangle that can be enclosed with 144 feet of fence. To help find them, he graphed the following equation. Area = x (72 - x) What are the dimensions of the largest area the farmer can enclose with 144 feet of fence?

Answers

The maximum dimensions is a square of sides 36 ft by 36 ft;

The maximum area is 1,296 ft^2

Here, we want to know the diemensions of the largest area the farmer can enclose within the perimeter

Mathematically, the greatest dimension that can maximize the area of the plot is the shape being a square

In other words, we need the diemnsions of both sides to be equal so as to get the area

If the dimensions are equal, we can say the length and width are represented by x

The length is thus as follows;

[tex]\begin{gathered} 4\text{ }\times\text{ x = 144} \\ 4x\text{ = 144} \\ \text{ x = 144/4} \\ x\text{ = 36 ft} \end{gathered}[/tex]

The greatest possible or the maximum area is thus;

[tex]36\times36=1,296ft^2[/tex]

pls help
what are the coordinates of Y if 5,12 is 1/3 of the way from X to Y

Answers

The coordinates of the point Y at the other endpoint is 41

How to determine the coordinates of the point Y?

From the question, the given parameters are

Point X = 5The location of the point between X and Y = 12Proportion = 1/3

Because there is not y coordinates in the coordinates, we can make use of only the x coordinate

So, we have the following equation

Point = Proportion * (Y - X)

Substitute the known values in the above equation

So, we have the following equation

12 = 1/3 * (Y - 5)

Multiply through the equation by 3

So, we have the following equation

36 = Y - 5

Add 5 to both sides of the equation

So, we have the following equation

Y = 41

This means that the conclusion is the coordinate of the point Y is 41

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Find a smart way to compute.1 8/11 x 5/12 + 5/12 x 3/11

Answers

On simplifying the given equation, the answer is [tex]\frac{5}{6}[/tex]

How an equation can be simplified?

The fundamental guidelines and procedures to simplify any statement are as follows:

By multiplying factors, remove any grouping symbols like brackets and parenthesis.

If the words contain exponents, use the exponent rule to eliminate grouping.

Add or subtract like terms to combine them.

Add the constants together.

Given,

1 8/11 x 5/12 + 5/12 x 3/11

[tex]\frac{19}{11}[/tex]  ×  [tex]\frac{5}{12}[/tex]    +  [tex]\frac{5}{12}[/tex]   × [tex]\frac{3}{11}[/tex]

Taking [tex]\frac{5}{11 * 12}[/tex] as a common factor,

⇒ [tex]\frac{5}{11 * 12}[/tex] ( [tex]19 + 3[/tex])

⇒ [tex]\frac{5}{11 * 12}[/tex] × 22

On simplifying,

⇒ [tex]\frac{5}{6}[/tex]

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Help me pls with this fast!

Answers

Answer:

Step-by-step explanation:

...

Answer:

2x+9=7

Step-by-step explanation:

"Sum" means addition

"2 times a number" since the number is unknown we use a letter, since its a letter we usually don't need parentheses

"and" is usually used ror addition so another clue

"is" just means equals

) Which problem below would require that you use the distributive property to help yousimplify it? Explain why the distributive property is required for that problem. What wouldyou use to simplify the other problem?2 (x+4)5+ 9(5-1)

Answers

Given the expressions:

[tex]\begin{gathered} 2(x+4) \\ 5+9\mleft(5-1\mright) \end{gathered}[/tex]

You need to remember that the Distributive Property states that:

[tex]a(b\pm c)=ab\pm ac[/tex]

• In order to simplify the first expression, you only need to apply the Distributive Property, because there is a number multiplying a Sum. Therefore, get:

[tex]\begin{gathered} =(2)(x)+(2)(4) \\ =2x+8 \end{gathered}[/tex]

• In order to simplify the second expression, you need to follow these steps:

1. Apply the Distributive Property:

[tex]=5+(9)(5)-(9)(1)[/tex]

[tex]=5+45-9[/tex]

2. Solve the Addition:

[tex]=41[/tex]

Hence, the answers are:

• The first problem requires to use only the Distributive Property to simplify it. It is required because there is a number multiplying a Sum:

[tex]2(x+4)[/tex]

Notice that the second expression can be simplified using the Distributive Property as the first step.

• The second problem can be simplified by applying the Distributive Property and then adding the numbers.

2. Solve the following addition problem. Remember to carry as necessary.
6 cu yd 9 cu ft
134 cu in
+ 1 cu yd 12 cu ft
200 cu in

Answers

The solution to the given addition problem is 150.6 ft^9.

Converting everything to the same unit is the simplest solution to this problem.

The conversions are:

1 cubic yard = (27 cubic feet)

1 cubic inch = (0.000578704 cubic feet)

The addition can be performed as,

(6 cu yd × 9 cu ft × 134 cu in) + (1 cu yd × 12 cu ft × 200 cu in)

=  [6(27 cu ft) × 9 cu ft × 134(0.000578704 cu ft)] + [1(27 cu ft) × 12 cu ft × 200(0.000578704 cu ft)]

= 150.6 ft^9

The result of the addition is 150.6 ft^9.

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In 25 minutes Shiloh can In 10 laps around the track. Determine the number of
laps he can run
per minute.
A.
Find the constant of proportionality in this situation.
Answer:
B. Write an equation to represent the relationship.
Answer:

Answers

Shiloh can run 04 laps per minute if in 25 minutes Shiloh can run in 10 laps around the track and it is Laps per minute is simply division.

What is constant of proportionality?

The ratio that is connecting two given numbers is what is known as the exact proportional relationship is the constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names that can be given for the constant of proportionality.

To represent the equation in laps per min,

L/m = 10/25

= 2/5

= 0.4 laps per minute

The constant of proportionality in this situation

10/25 = 0.4

The equation to represent the relationship.

y = 0.4x

How do you determine the proportionality constant?

Identifying the same x and y variables is the first step in determining the proportionality constant. X will be the weight and Y will be the number of butter sticks in order to calculate the exact weight to stick ratio.

Then to determine the proportionality constant, we can use the constant equation k = y x.

Why is K the proportionality constant?

When two variables are directly or indirectly proportional to one another, their relationship can be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables. The proportionality constant, k, is often used.

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What is the product of the reciprocal of 2/3, 1/8, and 5?
A. 5/12

B. 15/16

C. 2-2/5

D.9-1/10.

The answer key says (C) but I’m getting 12/5 so I’m confused

Answers

Answer:

c

Step-by-step explanation:

2-2/5=12/5

12/5=

2-2/5 is the mixed fraction for the number 12/5

well, the key and you are absolutely correct, so you're golden

[tex]\stackrel{reciprocals}{\cfrac{3}{2}\cdot \cfrac{8}{1}\cdot \cfrac{1}{5}}\implies \cfrac{3}{5}\cdot \cfrac{8}{2}\cdot \cfrac{1}{1}\implies \cfrac{3}{5}\cdot \cfrac{4}{1}\cdot \cfrac{1}{1}\implies \cfrac{12}{5}\implies \cfrac{10+2}{5} \\\\\\ \cfrac{10}{5}+\cfrac{2}{5}\implies 2+\cfrac{2}{5}\implies 2\frac{2}{5} ~~ \checkmark[/tex]

Is the package late? A shipping company claims that 90% of its shipments arrive on time.
Suppose this claim is true. If we take a random sample of 20 shipments made by the
company, what's the probability that at least 1 of them arrives late?

Answers

Using the binomial distribution, there is a 0.8784 = 87.84% probability that at least 1 of them arrives late.

Binomial distribution

The probability mass function, giving the the probability of x successes is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters of the distribution are given as follows:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.

In the context of this problem, of 20% shipments with 90% on time, the parameters are:

p = 0.9, n = 20.

The probability that all arrive on time is:

P(X = 20) = (0.9)^20 = 0.1216.

All on time and least one late are complementary events, hence the probability of at least one package arriving late is given as follows:

P(X < 20) = 1 - P(X = 10) = 1 - 0.1216 = 0.8784.

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go quick if you have a good brain

see attachment beloww.

Answers

Answer:y=21°

x=8°

Step-by-step explanation:

3y+27=90

3y=63

y=21°

x+90°+8x+18°=180°

9x+108°=180°

9x=72°

x=8°

Which of the following is the correct factorization of the polynomial below?
2p²-11pq+24q²
A. (2p-4q)(p-4q)
B. (2p-4q)(p+ 4q)
C. (2p-4q)(2p² + 2q)
D. The polynomial is irreducible.

Answers

Answer:

I think it's D because it can't be factorized

I need help with question #8

Answers

There is no picture provided. Make sure when you make a question with a specific understanding of the photo, you press choose file, or add a photo. Also, remember to double check!!



Hope this helps!!

at birth,a male baby giraffe stands almost 2 feet tall.at 3 years of age ,the male giraffe will be about three times as tallas at birth.

Answers

Answer: if you're asking how tall it will stand at 3 years of age it would be 6.

Step-by-step explanation: 2 times 3 equals 6.

Other Questions
The greenhouse effect is the result of A) reflection of outgoing shortwave radiationB) absorption of outgoing shortwave radiationC) absorption of outgoing longwave radiation A recipe says that 2 cups of dry rice will serve 6 people. Complete the table as you answer the questions. Be prepared to explain your reasoning.How many people will 10 cups of rice serve?How many cups of rice are needed to serve 45 people?A recipe says that 6 spring rolls will serve 3 people. Complete the table The sum of 5 times the first number and 6 times the second number is 235. The difference between 7 times the first number and 17 is 2 times the second number. Find both the numbers.a) Using the variable x to represent the first number and y to represent the second number, write the information given in the first sentence, "The sum of 5 times the first number and 6 times the second number is 235." Correct b) Using the variable x to represent the first number and y to represent the second number, write the information given in the second sentence, "The difference between 7 times the first number and 17 is 2 times the second number." Correct c) Find both the numbers.The first number is: CorrectThe second number is: Correct what is the importance of sexuality? (350 words) Convert (2,210 ) to rectangular form.A. (1,-3)B. (-3,-1)C. (-3,1)D. (-1,-3)E. (3,-1) A biological toilet, or composting toilet, isn't hooked up to sewer lines. The unit has a seat and a lid, but not a toilet bowl filled with water. How does it function? First, the waste is deposited into the unit in the normal way. After that, natural processes take over: ninety percent of the waste is water, which evaporates into the air. The toilet usually has fans and ventilation to assist in this process. The solid part of the waste then remains in a chamber, where it decomposes. Specialized bacteria digest the waste, given the right combination of oxygen, moisture, and heat. When the decomposition process is complete, the compost from the toilet can be removed and used in gardens and around trees.Which organizational structure does this text primarily use? a client at 38 weeks' gestation has an ultrasound performed at a routine office visit and learns that her fetus has not moved out of a breech position. which intervention does the nurse anticipate for this client? You are considering a 5/1 arm what does 5 represent Please help me!!! I need help TwT Describe the important features of the administration in North India. What does President Obama say he will do in hisspeech?A. convince people to stop discussing the trial and itsconsequencesB. explain how the justice system works and howthey arrived at this rulingC. discuss the life of the man who shot TrayvonD. address and contextualize the responses to thetrial Which equation has no solution4(x+1)=2x+4 or 9-5x+2=4-5x Find the derivative of the following function: What does each part of a bomb calorimeter do? if a business manager deposits $120,000 in a bond fund at the end of each year for 20 years, what will be the value of her investment: at a compounded annual rate of 6 percent? at a compounded annual rate of 4 percent? To build a new skate park, a community board must have at least 40% of the voters agree to the build. At a recent voters meeting, 125 voters were asked if they would vote for the new skate park and 58 responded yes. Should the community board go ahead and start planning the park? No, they should not plan for the skate park because the sample had about 46.4% people vote no. No, they should not plan for the skate park because the sample had about 53.6% people vote no. Yes, they should plan for the skate park because the sample had about 46.4% people vote yes. Yes, they should plan for the skate park because the sample had about 53.6% people vote yes. Write the ions present in a solution of NaC2H3O2. A. Write the decimals in words. Example: 32.76-thirty-two point seven six 1. 60.03 - 2. 209.11 - What was at the heart of cities in early civilzations? A.people's homes B. trading center C. temples and other religious build D. Schools and libraries Use algebra tiles to show the expressions are equivalent.1) y + 10y and 11y2) -2(x + 8) and -2x + (-16)3) x + 2(y - 5x) and 2y - 9x