Question 3 Consider the input numbers: 3; 5; 7:9; 11 3.1.1 Write all the output numbers if the rule 2x is applied. (2)​

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

34

Step-by-step explanation:

17% of 100 is 17, so you can put that into a proportion, 17/100.  We need to find what the numerator will be if the denominator is 200. Since you multiply 100 by 2 to get to 200, you have to do the same to the top, and 17x2 is 34.

Therefore, the correct answer is 34.

Hope I helped!!!

Answer:100 times 7

Step-by-step explanation: because

Answer:

1.6709 is the answer for the question

When boys and girls are equally likely, the likelihood that at least 50 of 125 infants born will be females is 0.40.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

total number of sample=125

number of girls=50

Probability that out of 125 babies born, at least 50 will be girls,

=50/125

=0.40

The probability that out of 125 babies born, at least 50 will be girls is 0.40 when boys and girls are equally probable.

To know more about probability,

https://brainly.com/question/11234923

#SPJ1

Answer:

I think that is 26y

Step-by-step explanation:

Answer:

the answer for y-18 =7y + 9 - 10y

Step-by-step explanation:

Answer:

I have no idea

Step-by-step explanation:

1/3 + 1/4

(1 x 4) + (1 x 3)

____________

3 x 4

= 4 + 3

________

   12            

7/12

Answer:

7/12 pounds

Step-by-step explanation:

1/3 * 1 = 1/3

1 = 4/4

then

1/3 * 4/4 = 1/3

1/3 * 4/4 = (1*4)/(3*4) = 4/12

1/3 = 4/1|2

1/4 * 3/3 = (1*3) / (4*3) = 3/12

1/4 = 3/12

then:

1/3 + 1/4 = 4/12 + 3/12 = (4+3)/12 = 7/12

The meal will weigh  7/12 pounds.

Answer:

(a) The probability that a study participant has a height that is less than 67 inches is 0.4013.

(b) The probability that a study participant has a height that is between 67 and 71 inches is 0.5586.

(c) The probability that a study participant has a height that is more than 71 inches is 0.0401.

(d) The event in part (c) is an unusual event.

Step-by-step explanation:

The complete question is: In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 67.5 inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below. ​(a) Find the probability that a study participant has a height that is less than 67 inches. The probability that the study participant selected at random is less than inches tall is nothing. ​(Round to four decimal places as​ needed.) ​(b) Find the probability that a study participant has a height that is between 67 and 71 inches. The probability that the study participant selected at random is between and inches tall is nothing. ​(Round to four decimal places as​ needed.) ​(c) Find the probability that a study participant has a height that is more than 71 inches. The probability that the study participant selected at random is more than inches tall is nothing. ​(Round to four decimal places as​ needed.) ​(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.

We are given that the heights in the​ 20-29 age group were normally​ distributed, with a mean of 67.5 inches and a standard deviation of 2.0 inches.

Let X = the heights of men in the​ 20-29 age group

The z-score probability distribution for the normal distribution is given by;

                          Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = population mean height = 67.5 inches

            \(\sigma\) = standard deviation = 2 inches

So, X ~ Normal(\(\mu=67.5, \sigma^{2}=2^{2}\))

(a) The probability that a study participant has a height that is less than 67 inches is given by = P(X < 67 inches)

      P(X < 67 inches) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{67-67.5}{2}\) ) = P(Z < -0.25) = 1 - P(Z \(\leq\) 0.25)

                                                                 = 1 - 0.5987 = 0.4013

The above probability is calculated by looking at the value of x = 0.25 in the z table which has an area of 0.5987.

(b) The probability that a study participant has a height that is between 67 and 71 inches is given by = P(67 inches < X < 71 inches)

    P(67 inches < X < 71 inches) = P(X < 71 inches) - P(X \(\leq\) 67 inches)

    P(X < 71 inches) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{71-67.5}{2}\) ) = P(Z < 1.75) = 0.9599

    P(X \(\leq\) 67 inches) = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{67-67.5}{2}\) ) = P(Z \(\leq\) -0.25) = 1 - P(Z < 0.25)

                                                                = 1 - 0.5987 = 0.4013

The above probability is calculated by looking at the value of x = 1.75 and x = 0.25 in the z table which has an area of 0.9599 and 0.5987 respectively.

Therefore, P(67 inches < X < 71 inches) = 0.9599 - 0.4013 = 0.5586.

(c) The probability that a study participant has a height that is more than 71 inches is given by = P(X > 71 inches)

      P(X > 71 inches) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{71-67.5}{2}\) ) = P(Z > 1.75) = 1 - P(Z \(\leq\) 1.75)

                                                                 = 1 - 0.9599 = 0.0401

The above probability is calculated by looking at the value of x = 1.75 in the z table which has an area of 0.9599.

(d) The event in part (c) is an unusual event because the probability that a study participant has a height that is more than 71 inches is less than 0.05.

Answer:

The equation in the orange background

Step-by-step explanation:

• from the general formular describing arithmetic progression

\(a _{n} = a _{1} + (n - 1)d\)

» a1 is the first term of the sequence.

» n is the number of terms

» d is the common difference.

• when first term is 7 and common difference is 5, therefore recurssive equation is;

\({ \boxed{ \boxed{a _{n} = 7 + (n - 1)5}}}\)

Answer:

0.6

Step-by-step explanation:

\(\sqrt{0.36}=\sqrt{\frac{36}{100}}=\frac{6}{10}=0.6\)

Answer:

Hey!

\(\sqrt{0.36}\) is otherwise written as 0.6!

Other ways... \(\sqrt{\frac{36}{100} }\) = \(\frac{6}{10}\) = 0.6

Step-by-step explanation:

There's a way without using a calculator...

IGNORE the 0. and just do \(\sqrt{36}\) = 6 THEN add on the 0.

OR to be safe just use the calculator!!

I HOPE THIS HELPS!!

Step-by-step explanation:

-(7x² + 5x) / (x² + 1) − 5x / (x² − 6)

To add or subtract fractions, you need a common denominator.

The common denominator of these fractions is (x² + 1) (x² − 6).

Multiply the first fraction by (x² − 6) / (x² − 6).

-(7x² + 5x) (x² − 6) / ((x² + 1) (x² − 6))

-(7x⁴ + 5x³ − 42x² − 30x) / ((x² + 1) (x² − 6))

(-7x⁴ − 5x³ + 42x² + 30x) / ((x² + 1) (x² − 6))

Multiply the second fraction by (x² + 1) / (x² + 1).

5x (x² + 1) / ((x² − 6) (x² + 1))

(5x³ + 5x) / ((x² − 6) (x² + 1))

Subtract the fractions.

(-7x⁴ − 5x³ + 42x² + 30x − 5x³ − 5x) / ((x² + 1) (x² − 6))

(-7x⁴ − 10x³ + 42x² + 25x) / ((x² + 1) (x² − 6))

Answer:

Step-by-step explanation:

58.33333333333333

The volume of the prisms are:

1. 432 yd³

2. 36in³

3. 252 m³

4. 240 ft³

5. 576 mm³

6. 144 cm³

7. 343 m³

8. 120 yd³

9. 150 in³

The formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

such that;

Now, substitute the value for each of the prisms, we have;

1. Volume = 6 × 6 ×12

Multiply

Volume = 432 yd³

2. Volume = 2 ×9 × 2

Multiply

Volume = 36in³

3. Volume = 9 × 4 × 7

Multiply

Volume = 252 m³

4. Volume = 10 × 8 × 3

Multiply

Volume = 240 ft³

5. Volume = 4 × 12 × 12

Multiply the values

Volume = 576 mm³

6. Volume = 6 × 8 × 3

Volume = 144 cm³

7. Volume = 7 × 7 ×7

Volume = 343 m³

8. Volume = 8 × 3 × 5

Volume = 120 yd³

9. Volume = 5 × 6 × 5

Volume = 150 in³

Learn more about volume at: https://brainly.com/question/1972490

#SPJ1

Answer:

Option 4

Step-by-step explanation:

The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).

hope this helps :)

the solutions are:

The only information of h(x) that we have is the given graph.

To find the value of x, we need to go to the vertical axis and find y = 4, then we move horizontally to the left until we meet the curve.

That intersection will give the value of x for which h(x) = 4.

Doing that, we conclude that h(x) = 4 when x = 0 (on the vertical axis).

Now we want to find h(-2), and we can do that using the graph.

By finding x = -2 on the horizontal axis and then moving up until we intercept the graph, we can see that:

h(-2) = 2

Concluding, the solutions are:

If you want to learn more about parabolas:

https://brainly.com/question/4061870

#SPJ1

Step-by-step explanation:

Hey, there!!

Look this figure, simply we find that;

In triangle ABC,

angle CBD is an exterior angle of a triangle.

and its measure is 90°

Then,

angle CBD= y +48° {sum of interior opposite angle is equal to exterior angle or from theorem}.

or, 90°= y + 48°

Shifting, 48° in left side,

90°-48°= y

Therefore, the value of y is 42°.

Hope it helps...

Answer: 0.06p = 0.72

p = 12

Step-by-step explanation:

The original price was $12.

Answer:

12

Step-by-step explanation:

Answer:

AB = 5√55

Step-by-step explanation:

Part 1 = AD = 25

Hypotenuse = AC = 55

Leg 1 = AB = x

To find AB, apply the leg rule which is:

Hypotenuse/leg 1 = leg 1/part 1

Plug in the values

55/x = x/25

Cross multiply

x*x = 55*25

x² = 1,375

x = √1,375

x = 5√55

AB = 5√55

Using the binomial distribution, it is found that:

A. The salesperson should expect 1.54 customers until he finds one that makes a purchase.

B. There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

For this problem, the probability of a success on a single trial is of p = 0.65.

The expected number of trials until q successes is:

E(X) = q/p

Hence, for one purchase:

E(X) = 1/0.65 = 1.54.

The salesperson should expect 1.54 customers until he finds one that makes a purchase.

For item B, the probability is P(X = 0) when n = 3 multiplied by 0.65, hence:

p = (0.35)³ x 0.65 = 0.0279.

There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Answer:8

Step-by-step explanation answe is 8beuase the tree

a)The unit rate of ash tree is equal to 25.5 inches per year .(Table attached)   b) The magnolia tree grows by 16 inches every year.(Table attached)

c) Ash tree has the faster growth rate.

d) growth rate of ash tree = 1.77 mm

  growth rate of magnolia tree =1.113 mm

Double number line diagrams are best used when the quantities have different units.

Given here, the ash tree grows 51 inches over two years therefore unit rate of growth is 51/2 = 25.5 inches/year. Similarly, the magnolia tree grows 80 inches over five years thus the tree grows by 16 inches every year. Finally converting the growth rate of each tree in mm per day we get

growth rate of ash tree = 25.5 × 25.4 / 365

                                       = 1.77 mm

 growth rate of magnolia tree = 16 × 25.4 / 365

                                                  =1.113 mm

Hence, clearly ash tree grows faster than the magnolia tree and refer to the attachments for the table and double number line.

Learn more about double number line here:

https://brainly.com/question/13553589

#SPJ2      

Answer:

C

Step-by-step explanation:

All sides make a cube

Answer:

D

Step-by-step explanation:

rom the point it passed We were given

Vertex = (3,1)

Point = (2, -2)

The equation of the parabola is given by:

where (h, k) is the vertex = (3,1)

a is a cnstant

On substitution:

Substituting the value of (x,y) from the point it passed through to find a:

Therefore substitute a into the original equation:

The equation of the parabola is given by:

y = -3(x-3)^2 + 1

Answer:

1/10, 1/2, 0.6, 1.9

Step-by-step explanation:

1/10 is equivalent to 0.1 and 1/2 is the same as 0.5, thus making your order 1/10, 1/2, 0.6, 1.9

The person whose fruit salad will taste more melony is Genesis. The Option B is correct.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

We need to compute the melon percentage to determine whose fruit salad will taste more melony:

1. Ownen mixes 14 cups of melon and 3 cups of apple. The percentage for melon will be:

= 14/(3+14) × 100

= 82.3529411765

= 82.35%

2. Genesis mixes 6 cups of melon and 1 cups of apple. The percentage for melon will be:

= 6/7 × 100

= 85.7142857143

= 85.71%

Read more about percentages on:

brainly.com/question/24877689

#SPJ1

Answer:

90

Step-by-step explanation:

since mean = sum of terms / number of terms, we can find the total sum of the tests currently to see how much it needs to be raised

76 * 6 = 456

x = score of the new test

(456 + x)/7 = 78

x =90

The last boxplot is the one that displays the values range  of the distribution that is given.

The range of a function in mathematics can refer to one of two ideas that are connected in some way: Codomain for the function an illustration of the action If there is precisely one y in Y and there are two sets X and Y, then a binary relation f between X and Y is a function that connects x and y.

Here ,Given information:

6,7,9,9,20,22,26,28,29,30

N = 10 observations were made.

The base number is 6. ( least value)

Quartile lower= n+1(0.25)

term = 0.25(13) = 3.25term = 13

Median equals 0.5 (n + 1)

term = 0.5(13) = 6.5 term = (20 + 24) /2 = 22

Upper quartile: 0.75 (13)

A term equals 9.75 a term equals 26.5

Interquartile Range (IQR) is equal to= Q3 - Q1= (26.5 - 13) = 13.5

The highest value is 30. (highest value in the distribution)

As a result, the Last boxplot is the one that shows the distribution that is given.

To know more about range , visit

brainly.com/question/28135761

#SPJ1

Answer:

-1/2

Step-by-step explanation:

We know

The dilation of K(-2,4) equals K'(1,-2)

To get from -2 to 1, we time -1/2

To get from 4 to -2, we time -1/2

So, the scale factor used for the dilation is -1/2