it takes two pizzas to feed five people how much pizza does it take to feed 45 people

Answer:

No solution

Step-by-step explanation:

-9 = a - 3 - a

-6 = a - a

-6 [tex]\neq[/tex] 0, -6 doesn't equal 0 so no solution

Complete Question

The proportion of adult women in the United States is 51% (p=0.51).What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?

Answer:

The probability is  [tex]P( 0.48 < p < 0.54 ) = 0.77[/tex]  or  [tex]P( 0.48 < p < 0.54 ) = 77\%[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  400

    The population proportion is  p = 0.51

Generally the standard deviation of this sampling distribution is mathematically represented as

          [tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]

=>      [tex]\sigma = \sqrt{\frac{0.51(1-0.51)}{400} }[/tex]

=>      [tex]\sigma = 0.02499[/tex]

Generally the lower limit for the range of the population proportion within 0.03 is

    [tex]a = p - 0.03[/tex]

=>[tex]a = 0.51 - 0.03[/tex]

=>[tex]a = 0.48[/tex]

Generally the  upper  limit for the range of the population proportion within 0.03 is

    [tex]b = p + 0.03[/tex]

=>[tex]a = 0.51 + 0.03[/tex]

=>[tex]a = 0.54[/tex]

Generally the  probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p) is mathematically represented as

     [tex]P( a < p < b) = P( \frac{a - p }{\sigma } < \frac{\^ p - p }{\sigma} < \frac{b - p}{\sigma } )[/tex]

=>   [tex]P( 0.48 < p < 0.54 ) = P( \frac{0.48 - 0.51 }{0.02499 } < \frac{\^ p - p }{\sigma} < \frac{0.54 - 0.51}{0.02499 } )[/tex]

[tex]\frac{\^ p -p }{\sigma }  =  Z (The  \ standardized \  value\  of \  \^ p )[/tex]

=>   [tex]P( 0.48 < p < 0.54 ) = P( -1.2 < Z < 1.2 )[/tex]

=>   [tex]P( 0.48 < p < 0.54 ) = P( Z < 1.2) - P(Z < -1.2 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1.2 and  -1.2  is

     [tex]P( Z < 1.2) =0.88493[/tex]

and  

    [tex]P( Z < -1.2) =0.11507[/tex]

So

   [tex]P( 0.48 < p < 0.54 ) = 0.88493 - 0.11507[/tex]

=>  [tex]P( 0.48 < p < 0.54 ) = 0.77[/tex]

The roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.

A quadratic equation is of the form ax² + bx + c = 0 , which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

Given:

x² + 2x + 7 = 0

now, using Discriminant Method

D= √b² - 4ac

D= √4- 4(1)(7)

D= √-24

D= 2i√6

Now, x= -b± D/2a

x= -2 ± 2i√6/2

x= -2 + 2i√6/2  or x= -2 - 2i√6/2

x= -1 + i√6 or x= -1 - i√6/2

Hence, the roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.

Learn more about quadratic equation here:

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Answer:

.5 pounds I believe

Step-by-step explanation:

I hope this helps!!!

Answer:

17=.y+1. 0.14

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

Katie has a negative trade balance of -$10.

Step-by-step explanation:

James exports 23 pounds for $23 and Katie exports 13 pounds for $13.

Jamie $23 - $13 = $10

Katie $13 - $23 = -$10

Answer:

hi I don't know the answer but really sorry I did because I needed some points so that I can ask my questions from another people and thank you for free points

Answer:

its 40

Step-by-step explanation:

You've already divided 320 and 8 and you get 40

-56x + 49y= -14

- 56x + 56y=64

105y=50

y=0.48

-8x+7(0.48)=-2

-8x+3.36=-2

-8x=-5.36

x=0.67

Answer:

(x, y) = (9, 10)

Step-by-step explanation:

-8x + 7y = -2...... (1)

- 8x + 8y = 8......(2)

Multiplying on both sides of the equations (1) & (2) by 8 and 7 respectively, we find:

-64x + 56y = - 16...(3)

-56x + 56y = 56.....(4)

Subtracting equation (4) from equation (3), we find:

-64x + 56y = - 16

-56x + 56y = 56

+ - -

_____________

- 8x = - 72

x = - 72/-8

x = 9

Substituting x = 9 in equation (1), we find:

-8(9) +7y = - 2

-72 +7y = - 2

7y = 72 - 2

7y = 70

y = 70/7

y = 10

(x, y) = (9, 10)

Answer:

Reflexive

Step-by-step explanation:

Because C and D are right angles. That’s def of perpendicular. I’m not sure about the vertical angles but it’s shown in the proof

Answer:

Reflexive

Step-by-step explanation:

<-----------------------●-->

1-2-3-4-5-6-7-8-9

go to the right

Answer:

-9------------>       (the circle would be filled in, too)

____._____

        0

Step-by-step explanation:

Answer:

Step-by-step explanation:

The bird will experience a centripetal force, this is the force exerted on a body that moves through a curve path.

[tex]F_c = \frac{mv^2}{r}[/tex]

Fc=centripetal force

m=mass

v=velocity

r=radius

Step one:

given data

mass of bird m=0.3kg

the radius of curve r= 20m

velocity v= 15 m/s

Substituting we have

[tex]F_c = \frac{0.3*15^2}{20}\\\\F_c= \frac{0.3*225}{20}\\\\ F_c=\frac{67.5}{20}\\\\F_c=3.37N[/tex]

The force is 3.37N

total cost for the blake family :

3d + 2s = 12 — (1)

total cost for the reese family :

2d + 4s = 16 — (2)

multiply equation 1 by 2 so that we can cancel out s later :

(1) x 2 : 2(3d+2s)=2(12)

6d+4s = 24 — (3)

using simultaneous equations,

(3) - (2)

(6d+4s) - (2d+4s) = 24-16

6d-2d+4s-4s = 8

4d = 8

d = 2

the cost of one drink is $2.

Answer:

g/(b + g)

Step-by-step explanation:

We are told the group of individuals contain b number of boys and g number of girls.

Now the number of ways of selecting 1 girl out of g number of girls is;

gC1 = g!/(g - 1)! = (g × (g - 1)!)/(g - 1)!

(g - 1)! will cancel out to give;

gC1 = g

Now, since total number of boys and girls is b + g, and we have chosen one girl out, the remaining number of people will be; b + g - 1.

Thus, number of ways to arrange the remaining people will be;

(b + g - 1)!

Now, the probability that the person in the ith position (1 ≤ I ≤ b+g) is a girl will be;

(gC1 × (b + g - 1)!)/(b + g)!

We know that gC1 = g from earlier derivation.

Expanding this gives;

[g(b + g - 1) × (b + g - 2)!]/[(b + g) × (b + g - 1) × (b + g - 2)!]

(b + g - 1) × (b + g - 2)! will cancel out to give;

g/(b + g)

Answer:

third one

Step-by-step explanation:

Answer:

x=3/2

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer: 65 people completed graduate school.

Step-by-step explanation:

25% of 260 is 65.

Answer:

is 65

Step-by-step explanation:

Got 26 wrong on test

Answer:

3808

Step-by-step explanation:

Answer:

ummm did you need help or....

Step-by-step explanation:

cause you got the answer right....

Answer:

Each car weighs 2,265 pounds

Step-by-step explanation:

Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:

50,855 - 35,000 = X

15.855 = X

Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:

15.855 / 7 = X

2,265 = X

Therefore, each car weighs about 2,265 pounds.

Answer:

Put the segment mark above each set.

fe is congruent to Rs (do the opposite rs is congruent to fe)

Rs congruent to fe (opposite)

fd is congruent to rt (opposite) I think

Answer:

x (divistion symbol) 7 + 5

Step-by-step explanation:

Answer:

10 meters per sec

Step-by-step explanation:

Answer:

10 meters per seconds.

Step-by-step explanation:

Answer:

2x+3

Step-by-step explanation:

Answer:Can you find the sum [5.5 + (-2.3)] + (-5.5 + 2.3) without performing any additions? - Slader.

1 answer

Missing: 7.25-5.5 ‎7.25)

Step-by-step explanation:

Answer:

Its B.

Step-by-step explanation:

It said so.

Answer:

[tex]Distance = 880ft[/tex]

Step-by-step explanation:

Given

[tex]Speed = 20\frac{miles}{hour}[/tex]

[tex]Time = 30\ seconds[/tex]

Required

Determine the distance

To answer this question, we make use of speed-distance relationship

[tex]Speed = \frac{Distance}{Time}[/tex]

Make Distance the subject

[tex]Distance = Speed * Time[/tex]

[tex]Distance = 20 miles/hour * 30 seconds[/tex]

Convert seconds to hour

[tex]Distance = 20 miles/hour * \frac{30}{3600} hour[/tex]

[tex]Distance = 20 miles * \frac{30}{3600}[/tex]

[tex]Distance = \frac{20 miles * 30}{3600}[/tex]

[tex]Distance = \frac{600\ miles}{3600}[/tex]

[tex]Distance = \frac{1}{6} miles[/tex]

Convert to foot

[tex]Distance = \frac{1}{6} * 5280\ ft[/tex]

[tex]Distance = \frac{1* 5280\ ft}{6}[/tex]

[tex]Distance = \frac{5280\ ft}{6}[/tex]

[tex]Distance = 880ft[/tex]

Answer:

Adjacent angles are two angles in the same plane with a common  VERTEX and a common  SIDE but no common interior points.

Step-by-step explanation:

Adjacent angles share a common side on the same vertes, but they do not overlap each other.

In the attached image, ∠ABD is adjacent to ∠DBC, but ∠ABC is not adjacent to any of them.