Which table represents a linear function ?

Answer:

P = 76%

Step-by-step explanation:

We look for the percentage of employees who are at least 25 years old.

We know that:

μ = 32 years

[tex]\sigma = 10[/tex] years

And we want to find

[tex]P(X\geq25) [/tex]

Then we find the z-score

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

So

[tex]Z = -0.7[/tex]

Then

[tex]P (X\geq25) = P(\frac{X- \mu}{\sigma}\geq\frac{25-32}{10})\\\\\P (X\geq25) = P (Z\geq -0.7)[/tex]

By symmetry of the distribution

[tex]P(Z\geq -0.7)= 1-P(Z<-0.7)[/tex]

[tex]P(Z\geq -0.7)= 1-0.242[/tex]

Looking in the normal standard tables

[tex]P(Z\geq -0.7)= 0.758[/tex]

Finally P = 76%

Answer:

P = 73%

Step-by-step explanation:

We look for the percentage of employees who are not more than 40 years old.

This is:

[tex]P = \frac{x}{n} *100\%[/tex]

Where x is the number of new employees who are not over 40 years old and n is the total number of new employees.

We do not know the value of x or n. However, the probability of randomly selecting an employee that is not more than 40 years old is equal to [tex]P = \frac{x}{n}[/tex]

Then we can solve this problem by looking for the probability that a new employee selected at random is not more than 40 years old.

This is:

[tex]P(X< 40)[/tex]

Then we find the z-score

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

We know that:

μ = 34 years

[tex]\sigma = 10[/tex] years

So

[tex]Z = 0.6[/tex]

Then

[tex]P (X<40) = P (\frac{X- \mu}{\sigma} < \frac{40-34}{10})\\\\P(X<40) = P(Z<0.6)[/tex]

So we have

[tex]P(Z<0.6)[/tex]

Looking in the normal standard tables:

[tex]P(Z<0.6)=0.726[/tex]

Finally P = 73%

Answer:

[tex]y-12=13(x-15)[/tex]

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=13[/tex]

[tex](x1,y1)=(15,12)[/tex]

substitute

[tex]y-12=13(x-15)[/tex] -----> equation of the line into point slope form

Answer:

Y-12=13(x-15)

Step-by-step explanation:

Answer:

The father is 40 and the son is 4.

Step-by-step explanation:

40 + 5 = 45.

4 +5=9.

45 divided by 5 = 9

Answer:

The father is 40 and the son is 4.

Step-by-step explanation:

Answer:

320in^3

Step-by-step explanation:

V=lwh/3

V=(10)(8)(12)/3

V=960/3

V=320

For this case we have by definition, that the volume of a rectangular pyramid is given by:

[tex]V = \frac {a * b * h} {3}[/tex]

Where:

a, b: Are the sides of the rectangular base

h: It's the height of the pyramid

Substituting the values:

[tex]V = \frac {10 * 8 * 12} {3}\\V = \frac {960} {3}\\V = 320[/tex]

Thus, the volume of the pyramid is 320 cubic inches

Answer:

[tex]320 \ in ^ 3[/tex]

Answer:

radius = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 2)² + (y - 8)² = 16 ← is in standard form

with r = [tex]\sqrt{16}[/tex] = 4

the answer is A multiply 3x2 and multiply 4x3 then add hope that helps

Answer:

A

Step-by-step explanation:

It is asking for the total amount of miles the boys walked therefore addition for step 3.

Answer: 1/16=1/4*1/4

              125=5*5*5

               24= (2*6)*2

               125= 5*5*5

Step-by-step explanation:

Answer: three type of life cycles are Haploid life cycle,Diploid life cycle, and alternation of generations.

The three main life cycles in multicellular organisms are the haploid life cycle, found in some fungi and algae, the diploid life cycle, common in animals like humans, and the alternation of generations, seen in plants and some algae. Insects may undergo complete metamorphosis, with distinct life stages.

Types of Life Cycles in Multicellular Organisms

There are three main types of life cycles in multicellular organisms, which are characterized by the prominence of either the haploid or diploid stages and the process of alternation between these stages. In the haploid life cycle, organisms spend most of their life in the haploid state, such as many single-celled eukaryotes. Fertilization briefly produces a diploid zygote, which immediately undergoes meiosis to form new haploid gametes. An example of this life cycle can be found in certain fungi and algae.

The diploid life cycle is where organisms spend the majority of their lives as diploid individuals. Here, only the gametes are haploid. Most animals, including humans, follow this type of life cycle.

The alternation of generations life cycle is characterized by alternating haploid and diploid stages. This is common in plants and some types of algae. The diploid stage, called the sporophyte, produces haploid spores by meiosis that develop into the haploid stage, known as the gametophyte, which in turn creates haploid gametes. Fertilization of these gametes will result in a new sporophyte, continuing the cycle.

In summary, sexual reproduction leads to varying life cycle types based on the dominancy and alternation of haploid and diploid stages, each vital for the propagation and genetic diversity of species.

Additionally, in the context of insects, which undergo distinct transformations, there are three types of metamorphosis: no metamorphosis, gradual metamorphosis (or incomplete), and complete metamorphosis. Most insects, such as butterflies, undergo complete metamorphosis, exhibiting different forms at each stage of their life cycle: egg, larva, pupa, and adult.

Answer:

x = 16

Step-by-step explanation:

Note that vertical angles are congruent, hence

4x + 20 = 84 ( subtract 20 from both sides )

4x = 64 ( divide both sides by 4 )

x = 16

solution

-4t < 12 3t-15<-3

-4 -4 3t<-3+15

t>-3 3t<12

3 3

t<4

therefore the numbers that makes both equations right is -3<t<4

Answer:

t<4

dont worry its right

45% :) Step-by-step explanation:

In this diagram, there are a total of 20 squares, and 9 of them are shaded. This means that 9/20 of them are shaded, and to find what percent this is, divide 9 by 20 and multiply what you get by 100.

9 divided by 20 =0.45

0.45 x 100 = 45%.

45% is your final answer!

I hope this helps and have a great rest of your day!

Answer:

(6, -11)

Step-by-step explanation:

The translation (x-2,y+3) means "subtract 2 from x coordinate" and "add 3 to the y coordinate".

After the transformation, we have the point B'(4,-8). Which point, let it be (x,y), after being transformed is B'(4,-8)??

According to the transformation rule, we have to "subtract 2 from x coordinate" and "add 3 to the y coordinate", thus

x-2=4

x=4+2

x=6

and

y+3=-8

y=-8-3

y=-11

THe coordinate of B are (6,-11)

Answer:

x = 5/3

Step-by-step explanation:

We have the fifth root of 8^3 and we want it equal to 8

(8^3) ^ (1/5) ^x = 8

We know that a^b^c = a^ (b*c)

8 ^ (3*1/5x) = 8

8 ^ (3/5x) = 8

We can rewrite 8 as 8^1

8 ^ (3/5x) = 8^1

The exponents must be the same

3/5 x = 1

Multiply each side by 5/3 to isolate x

5/3 * 3/5x = 1 * 5/3

x = 5/3

Answer:

[tex]\large\boxed{-1<x<4}[/tex]

Step-by-step explanation:

[tex]-6<2x-4<4\qquad\text{add 4 to all sides}\\\\-6+4<2x-4+4<4+4\\\\-2<2x<8\qquad\text{divide all sides by 2}\\\\\dfrac{-2}{2}<\dfrac{2x}{2}<\dfrac{8}{2}\\\\-1<x<4[/tex]

Answer: (3, 10)

Step-by-step explanation:

X=3 y=10

Answer:

x = 3

y = 10

Step-by-step explanation:

Equation (1) : -2x + y = 4

Equation (2) : y = 3x + 1​

Substitute (2) into (1):

-2x + (3x + 1) = 4

-2x + 3x + 1 = 4

x + 1 = 4

x = 3

Sub x = 3 into (2):

y = 3(3) + 1

y = 10

Answer:

Step-by-step explanation:

This question is too general.  We can take a look at the behaviors of the two different graphs:

f(x)=3^x-3 is an exponential function whose y-intercept is (0, -2).  Note that 3^0 = 1.  To draw this function, we'd drawn f(x)=3^x first and then translate the whole graph down by 3 units.  The graph appears in Quadrants III, IV and I, in that order.

g(x)=7x^2-3 is not an exponential function, but rather a quadratic whose graph is a parabola.  Here the parabolic graph opens up.  Its y-intercept is (0, -3).  This graph will intersect that of f(x)=3^x-3 in two places.

A:  False.  It is g that has minimum y value of -3.  The minimum y value of f is -2.

B:  The smallest y value f can have is just above y = -2.  y = -2 is the horizontal asymptote for this function.  The smallest y value g can have is -3.  So B is False.

C:  True.  g has the smallest possible y-value; it is -3.

D:  True.  The min. y-value of g is -3.

Answer: C and D are true

Step-by-step explanation:

A P E X

Answer:

YOur answer would be -1/5.

Step-by-step explanation

rise/run

-4--5/-2-3

=-1/5

For this case we have by definition, that the slope of a line is given by:

 the following formula:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]

Having two points through which the line passes:

[tex](x_ {1}, y_ {1}): (- 2, -4)\\(x_ {2}, y_ {2}) :( 3, -5)[/tex]

Substituting:

[tex]m = \frac {-5 - (- 4)} {3 - (- 2)}\\m = \frac {-5 4} {3 2}\\m = \frac {-1} {5}[/tex]

Finally, the slope of the line is:

[tex]m = - \frac {1} {5}[/tex]

Answer:

[tex]m = - \frac {1} {5}[/tex]

Answer:

y ≥ 3x +4

Step-by-step explanation:

The line is solid, so the inequality will include the "or equal to" case. The shading is above the line, so values of y greater than or equal to those on the line are in the solution set. The only choice with the correct (≥) inequality symbol is ...

y ≥ 3x +4

Answer:

$100 + $66.67 + $55 = $221.67/month, which is the amount that must be deposited into Pam's escrow account each month....

Step-by-step explanation:

Pam's annual taxes are $1200 per year. It means her escrow each month needs to have 1/12 of that amount. 1200/12 = $100 per month

Her homeowner's insurance is $800 per year, that's 1/12 of that needs to be in her escrow account each month:

$800 / 12, or $66.67/month.

And PMI is $55/month

Add these three together:

$100 + $66.67 + $55 = $221.67/month, which is the amount that must be deposited into Pam's escrow account each month....

Answer:

60x + 18

Step-by-step explanation:

8x - 4 [2x - 5 ( 3x + 1 )] - 2 [x - (x - 1)]

distribute

8x - 4 [2x - 15x - 5] - 2 [x - x + 1]

combine like-terms

8x - 4 [- 13x - 5] - 2 [1]

distribute again

8x + 52x + 20 - 2

combine like-terms again

60x +18

Answer:

1/64x^12

Step-by-step explanation:

Answer: x^12/64

Step-by-step explanation:

Apply exponent rule: a^-b = 1/a^b

(4x^-4)^-3 = 1/(4x^-4)^3 : 64/x^12

= 1/64/x^12

Apply the fraction rule: 1/b/c = c/b

=x^12/64

Answer:

Step-by-step explanation:

The equation of a circle in standard form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex]x^2+y^2=2[/tex]

Convert to the standard form:

[tex](x-0)^2+(y-0)^2=(\sqrt2)^2[/tex]

State the center and radius of x^2+y^2=2

Answer:

D. [tex]x>0[/tex]

Step-by-step explanation:

We have been given a quotient [tex]\sqrt{6x^2}\div\sqrt{4x}[/tex]. We are asked to find an inequality that represents all values of x for which the quotient below is defined.

We can rewrite our given expression as:

[tex]\sqrt{6x^2}\div\sqrt{4x}[/tex]

We know that a square root expression is defined for all values of x greater than or equal to 0. We also know that a fraction is defined when its denominator is greater than 0.

So our fraction will be defined for all values of x greater than 0.

[tex]4x>0[/tex]

Upon dividing both sides of our inequality by 4, we will get:

[tex]\frac{4x}{4}>\frac{0}{4}[/tex]

[tex]x>0[/tex]

Therefore, the inequality [tex]x>0[/tex] represents all values of x for which the given quotient is defined and option D is the correct choice.

Answer:

x = 5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

15x-30=45

    +30 +30

 15x=75

15/15=1

75/15=5

x=5

62 plus 48 is 110

Then add everyone together to find the total 62+48+36 which is 152

110 over 152 is the probability that a person selected at random will be a doctor or woman

Hope this helps;)

The probability that a person at random from the conference is either a doctor or a woman (or both) is 74%, computed from the principle of inclusion and exclusion.

The probability of a person at the conference being a Doctor or a Woman (or both) can be found by adding the individual probabilities - that of being a woman and that of being a doctor - and subtracting the probability of being both a doctor and a woman because this is counted twice in the addition. This is called the principle of inclusion and exclusion in probability theory. So by substituting the given percentages, P(Doctor or Woman) = P(Doctor) + P(Woman) - P(Doctor and Woman) = 62% + 48% - 36% = 74%. So, the probability that a person chosen at random from the conference is either a doctor or a woman (or both) is 74%.

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Answer:

[tex]a_n=a_{n-1}+16[/tex]

Step-by-step explanation:

The given arithmetic sequence is

14,30,46,62

The first term of this sequence is

[tex]a_1=14[/tex]

The common distance is obtained by subtracting a subsequent term from a previous term;

d=30-14

The common difference is

d=16

The recursive formula is given by:

[tex]a_n=a_{n-1}+d[/tex]

We now plug in the known value for the common difference to get;

[tex]a_n=a_{n-1}+16[/tex]

The recursive formula for the arithmetic sequence 14, 30, 46, 62 is an = aₙ₋₁ + 16 with the initial term a₁ = 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. In this case, we have the sequence: 14, 30, 46, 62.

Step-by-Step Process

1. Determine the common difference (d) by subtracting the first term from the second term:

2. Using the first term (a1) and the common difference (d), we can now write the recursive formula.

Therefore, each subsequent term is obtained by adding 16 to the previous term.

Answer:

The answer is C! I just took the quiz and got 100% shout out to all the cheaters out there, let's get this E2020 bread!

The percentage profit on a wheelbarrow is 512%

The percentage profit of an item is the amount of profit when the item is sold, expressed in terms of percentage

The selling price is given as:

SP = $42.50

The cost price is given as:

CP = $6.94

The percentage profit is then calculated as:

[tex]Profit = \frac{SP - CP}{CP} * 100\%[/tex]

This gives

P = (42.50 - 6.94)/6.94 * 100%

Evaluate the difference

P = 35.56/6.94 * 100%

Evaluate the quotient

P = 5.12 * 100%

Evaluate the product

P = 512%

Hence, the percentage profit on a wheelbarrow is 512%

Read more about percentage profit at:

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Answer:

Part 1) The scale factor is [tex]1.5[/tex]

Part 2) The altitude QS is [tex]4\ units[/tex]

Part 3) The scale factor is [tex]\frac{2}{3}[/tex]

Part 4) The value of x is [tex]12\ units[/tex]

Part 5) The perimeter of ABCDE is [tex]46\ units[/tex]

Step-by-step explanation:

Part 1) Find the scale factor of triangle TQR to triangle NQP

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

[tex]z=\frac{NP}{RT}[/tex]

substitute the values

[tex]z=\frac{24}{16}=1.5[/tex]

Part 2) Find the length of the altitude QS

we know that

To find the altitude QS, divide the altitude of triangle NQP by the scale factor

so

[tex]QS=\frac{6}{1.5}=4\ units[/tex]

Part 3) Find the scale factor of FGHJK to ABCDE

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

[tex]z=\frac{AB}{FG}[/tex]

substitute the values

[tex]z=\frac{10}{15}=\frac{2}{3}[/tex]

Part 4) Find the value of x

we know that

The value of x is equal to multiply the length side FK by the scale factor

so

[tex]AE=FK(z)[/tex]

substitute the values

[tex]AE=18(2/3)=12\ units[/tex]

Part 5) Find the perimeter of ABCDE

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of ABCDE

y-----> the perimeter of FGHJK

[tex]z=\frac{x}{y}[/tex]

we have

[tex]z=\frac{2}{3}[/tex]

[tex]y=15+9+12+15+18=69\ units[/tex]

substitute the values

[tex]z=\frac{x}{y}[/tex]

[tex]x=(z)(y)=\frac{2}{3}(69)=46\ units[/tex]

The answer is A.) ( 4, -3 )