2 and one half cakes are divided up into 18 pieces for guests how much cake will each person get
​

Answer:

z = 1.3345

Step-by-step explanation:

The z-score for a given data point, say x, from a normal distribution with a given mean and population standard deviation is usually calculated using the formula;

[tex]z=\frac{x-mean}{standard deviation}[/tex]

The following information is available;

mean = 7

population standard deviation = 3.522

x = 11.7

We simply employ the above formula to determine the z-score associated with the 11.7 data point;

[tex]z=\frac{11.7-7}{3.522}=1.3345[/tex]

They would need $16,049!

Price of the home is $145,900.

Percentage of the down payment is 5%

Subtract 5% from $145,900 = $138,605

That mean 5% of $145,900 is $7,295

Percentage of the closing cost is 6%.

Subtract 6% from $145,900 = 137,146

That mean 6% of 145,900 is $8,754

Add the down payment ($7,925) and closing cost ($8,745)

$16,049!

Mark me Brainliest!! Please!

they will need to pay $16,049

multiply $145,900 by 5%

multiply $145,900 by 6%

now add the totals to get $16,049

y = 3x - 5

So substitute 3x-5 for y:

6x + 3(3x-5) = 15

Simplify:

6x + 9x - 15 = 15

15x - 15 = 15

x - 15 = 1

x = 16

THEN find y by plugging the value of x back into the first equation:

y = 3(16) - 5

y = 48 - 5

y = 43

Answer:

x=7 units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

we know that

The triangles AMN and APQ are congruent by SAS similarity postulate

The include angle

∠MAN=∠PAQ

Because

Arc MN=Arc PQ

therefore

MN=PQ

substitute the values

38=4x+10

solve for x

4x=38-10

4x=28

x=7 units

x would be 7 units because 4 × 7 = 28 And 28 + 10 = 38

22 feet is the answer I hope this helps

Answer:

Longest rope is 44 feet. 1 piece is 1/2(44)=22. 22+44=66

Step-by-step explanation:

Answer:

Randomization can be replaced by accurately matching the sample to the population

You should never replace Randomization, its important. Thats why this is false (I just took this quiz)

Answer:

The events are not independent because the product of their marginal probabilities is not equal to their joint probability

Step-by-step explanation:

Two events A and B are said to be independent with respect to probability if the product of their marginal probabilities is equal to their joint probability. In the question presented we have;

Pr(A) = 0.4

Pr(B) = 0.2

Pr(A n B) = 0.1

The product of their marginal probabilities is;

Pr(A) * Pr(B) = 0.4 * 0.2 = 0.08

Their joint probability is given as;

Pr(A n B) = 0.1

Clearly, Pr(A) * Pr(B) ≠ Pr(A n B) and thus the events are not independent.

Answer:

Product of P(A) and P(B) is not equal to P(A and B)

Step-by-step explanation:

it would be option C on E2020

Every 5 red cars there are 3 Blue cars,

So if there are 40 red cars,

there are going to be 24 Blue cars

40 divided by 5 which is 8

Multiply 3 × 8 which is ( 24 blue cars )

Answer:

24

Step-by-step explanation:

The 5 part of the ratio represents 40 cars, thus

40 ÷ 5 = 8 cars ← value of 1 part of the ratio

3 parts = 3 × 8 = 24 ← number of blue cars

Answer:

41.51

Step-by-step explanation:

We can find the value of x using the trigonometry identify.

Cos (41) = x/55

x = 55cos (41)

x = 41.51

ANSWER

[tex]x = 41.51[/tex]

EXPLANATION

The given triangle has a right angle.

We were given an acute angle that measures 41°

The hypotenuse of the given right triangle is 55.

Since x is adjacent to the given angle and we also know the hypotenuse, we use the cosine ratio to find x.

[tex] \cos(41 \degree) = \frac{x}{55} [/tex]

Therefore

[tex]x = 55 \cos(41 \degree) [/tex]

[tex]x = 41.509[/tex]

We round to the nearest hundredth to obtain,

[tex]x = 41.51[/tex]

Answer:

Tationia Rolon

Step-by-step explanation:

I think its C because the median is the number in the middle

Answer

6

Step-by-step explanation:

I got is correct on usatestprep

18 is correct because 1300/65=20 1300-1282=18.

Answer:

3 weeks

Step-by-step explanation:

1 quart = 2 pints

6 quarts = 12 pints,

so 4 pints each week would take 3 weeks (4pints x 3weeks =12pints)

Answer:

90°

Step-by-step explanation:

The angles at the intersection of a kite will always be 90°

Answer:

[tex]\frac{r^2-10}{(r+4)(r+1)}[/tex]

Step-by-step explanation:

We want to evaluate:

[tex]\frac{r+2}{r+4}-\frac{3}{r+1}[/tex]

We collect the least common multiple of the denominators to get:

[tex]\frac{(r+2)(r+1)-3(r+4)}{(r+4)(r+1)}[/tex]

Expand the numerator:

[tex]\frac{r^2+3r+2-3r-12}{(r+4)(r+1)}[/tex]

[tex]\frac{r^2-3r+3r+2-12}{(r+4)(r+1)}[/tex]

[tex]\frac{r^2-10}{(r+4)(r+1)}[/tex]

Answer:

[tex]\frac{ r^2-10}{(r+4)(r+1)}[/tex]

Step-by-step explanation:

[tex]\frac{r+2}{r+4} - \frac{3}{r+1}[/tex]

To simplify the fractions we take common denominator

LCD is (r+4)(r+1)

we try to get same denominator on both fraction

multiply the first fraction by r+1 and second fraction by r+4

[tex]\frac{(r+2)(r+1)}{(r+4)(r+1)} - \frac{3(r+4)}{(r+1)(r+4)}[/tex]

(r+2)(r+1) becomes r^2 +3r+2

3(r+4) becomes 3r+12

[tex]\frac{ r^2 +3r+2}{(r+4)(r+1)} - \frac{3r+12)}{(r+1)(r+4)}[/tex]

[tex]\frac{ r^2 +3r+2-3r-12}{(r+4)(r+1)}[/tex]

combine like terms

[tex]\frac{ r^2-10}{(r+4)(r+1)}[/tex]

x = 16.

Hope this helps!

Answer:

x = 16

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{x}{4}[/tex] = [tex]\frac{20}{5}[/tex] ( cross- multiply )

5x = 80 ( divide both sides by 5 )

x = 16

Answer:

35.5 m

Step-by-step explanation:

The perimeter of the polygon is the sum of all the sides of the polygon. The sides are given as

11 m , 5 m ,7.5 m , 5m and 7m

Hence the perimeter would be,

11+5+7.5+5+7

= 35.50 m

Answer:

Step-by-step explanation:

1. 0.4y = x is a direct proportion.  It'd be more appropriate to write this as

   y =  x / 0.4, or y = 2.5x, in which case 2.5 is the constant of proportionality.

2. x = 1 - 2y is not a direct proportion because of the offset (1).  A line representing a direct proportion must go through the origin (0, 0); this particular line does not do that.

The first equation, 0.4y = x, represents a direct proportion with the constant of proportionality being 2.5. The second equation, x = 1 - 2y, does not represent a direct proportion since it does not have the form y = kx.

When we talk about two quantities being directly proportional, we mean that as one quantity increases, the other increases by a constant rate, and vice versa. This relationship can be represented by the equation y = kx, where k is the constant of proportionality.

For the first equation, 0.4y = x, this is rearranged as y = (1/0.4)x or y = 2.5x. This is indeed a directly proportional relationship, with the constant of proportionality being 2.5.

The second equation x = 1 - 2y does not describe a directly proportional relationship because it is not of the form y = kx. Instead, it shows that x decreases as y increases, which is suggestive of an inverse relationship, rather than a direct one.

Answer:Your Answer would be  B 0.2 meters

Step-by-step explanation:

Answer:

h=7.5 in

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In the right triangle ABC

sin(CAB)=15/18 ----> opposite side divided by the hypotenuse

In the right triangle CDE

sin(DCE)=h/9 ----> opposite side divided by the hypotenuse

In this problem

∠CAB=∠DCE ------> by corresponding angles

therefore

sin(CAB)=sin(DCE)

15/18=h/9

solve for h

h=15*9/18

h=7.5 in

Answer:

Step-by-step explanation:

7.5 inches is correct

Answer:

29

Step-by-step explanation:

The n th term of an arithmetic sequence is

• [tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

d = 1 - 7 = - 5 - 1 = - 6 and a₁ = 7, [tex]a_{n}[/tex] = - 161, hence

7 - 6(n - 1) = - 161 ← solve for n

7 - 6n + 6 = - 161

13 - 6n = - 161 ( subtract 13 from both sides )

- 6n = - 174 ( divide both sides by - 6 )

n = 29

There are 29 terms in the sequence

Answer:

the question is biased towards a no response, because they're asking participants "are you willing to spend the extra time to blah blah" obviously they're going to say no, and the second answer is the sample is not biased because they're not giving the consumers any reason to want the product they're selling.

Step-by-step explanation:

Answer:

The sample is not biased.

The question is biased toward a No response

Step-by-step explanation:

I took the test!

Answer:

C.

Step-by-step explanation:

distribute.

-3x+9 > 5-5x

put the x's to one side.

2x+9 > 5

put the number to the other side.

2x > -4

x > -2

Answer: Penny need to travel 49 feet before it hits the ground.

Step-by-step explanation:

Since we have given that

[tex]h(t)=-16t^2+305[/tex]

Here, h denotes the height of the penny

t denotes the time in seconds.

Now, t = 4 seconds

So, the penny needs to travel before it hits the ground is given by

[tex]h(4)=-16(4)^2+305\\\\h(4)=-16\times 16+305\\\\h(4)=256-+305\\\\h(4)=49\ feet[/tex]

Hence, Penny need to travel 49 feet before it hits the ground.

After 4 seconds, the penny needs to travel an additional 49 feet before it hits the ground.

The equation h(t) = -16t^2 + 305 represents the height of the penny at time t seconds. To find out how much further the penny needs to travel before it hits the ground after 4 seconds, we need to substitute t = 4 into the equation and solve for h.

h(4) = -16(4)^2 + 305

h(4) = -256 + 305

h(4) = 49 feet.

Therefore, the penny needs to travel an additional 49 feet before it hits the ground.

https://brainly.com/question/35873705

#SPJ3

Answer:

The surface area of the cylinder is [tex]748\pi[/tex].

Step-by-step explanation:

Given : Radius of the cylinder is 11 unit and height of the cylinder is 23 unit.

To find : What is the surface area of the cylinder in term of pi?

Solution :  

The formula of surface area of cylinder is

[tex]A=2 \pi r^2+2\pi rh[/tex]

Where, r is the radius of the cylinder r=11 unit.

h is the height of the cylinder h=23 unit.

Substitute the value in the formula,

[tex]A=2 \pi r^2+2\pi rh[/tex]

[tex]A=2\pi(r^2+rh)[/tex]

[tex]A=2\pi(11^2+11(23))[/tex]

[tex]A=2\pi(121+253)[/tex]

[tex]A=2\pi(374)[/tex]

[tex]A=748\pi[/tex]

Therefore, The surface area of the cylinder is [tex]748\pi[/tex].

Answer: 252 degrees!

7pi/5 is 252degrees.

The standard unit of angular measure used in many branches of mathematics is the radian, indicated by the symbol rad. The radian is the SI unit for measuring angles. The radian has replaced the unit as a SI derived unit, which was previously a SI supplementary unit.

Given

To convert radians to degrees, multiply by 180/π, since a full circle is

360° or 2π radians.

(7π/5)⋅180°/π

Cancel the common factor of π.

Rewrite the expression.7/5⋅180

7⋅36

Multiply 7 by 36.

252

To know more about radians refer to :

https://brainly.com/question/10443805

#SPJ2

Step-by-step explanation:

8.

[tex]\triangle CHF\sim\triangle YWS\\\\\angle C\cong\angle Y\\\angle H\cong\angle W\\\angle F\cong\angle S\\\\\dfrac{CH}{YW}=\dfrac{HF}{WS}=\dfrac{CF}{YS}[/tex]

Although it does not look like the picture.

From the picture ∠F ≅ ∠Y...

We must stick to the correct writing:

Δ → Δ

C → Y

H → W

F → S

12.

ΔMLK and ΔYWZ are not similar because they have different angles (different shape).

Answer: B 2/3

Step-by-step explanation:

1/6 + 1/2

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Substitute x = 2 into both h(x) and f(x)

h(2) = [tex]\frac{1}{2-1}[/tex] = 1 ⇒ (h(2))² = 1

f(2) = 2 + 2 = 4

Hence

[tex]\frac{h(x)^2}{f(x)}[/tex] when x = 2

= [tex]\frac{1}{4}[/tex]

1/4 is the following function at x=2​

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and co domain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Given

Substituting x = 2 into both h(x) and f(x)

h(2) = 1(2-1) = 1 ⇒ (h(2))² = 1

f(2) = 2 + 2 = 4

Hence

h(x)²/f(x)  when x = 2

=1/4

To know more about domain refer to :

https://brainly.com/question/11787743

#SPJ2

Answer:

see explanation

Step-by-step explanation:

The equation of the exponential function in the form

y = a[tex]b^{x}[/tex]

Substitute the given points into the equation and solve for a and b

Using (1, 7.5), then

7.5 = ab → (1)

Using (3, 16.875), then

16.875 = ab³ → (2)

Divide (2) by (1)

[tex]\frac{ab^3}{ab}[/tex] = [tex]\frac{16.875}{7.5}[/tex], hence

b² = 2.25 ( take the square root of both sides )

b = 1.5

Substitute b = 1.5 into (1)

1.5a = 7.5 ⇒ a = 5

The exponential function is y = 5[tex](1.5)^{x}[/tex]

Answer:

Translation

Step-by-step explanation: