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Alisiya [41]
3 years ago
14

≈ Please help 35 pts ≈

Mathematics
2 answers:
stepladder [879]3 years ago
8 0

Answer:

The drama club sample was randomly chosen and more representative.

Step-by-step explanation:

Svetllana [295]3 years ago
3 0

Answer:

The sample from the drama club is a more accurate sample. It is a random sample that represents the target population and it is large enough for inferences.

Step-by-step explanation:

The drama club sample was randomly chosen and more representative.

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Graph each function y=3x2-7
liq [111]
What you need to do step 1 y=6-7

step 2 y=1

then you make an ordered pair with the x and y

then graph
7 0
3 years ago
The quantity demanded x each month of Russo Espresso Makers is 250 when the unit price p is $138. The quantity demanded each mon
Stells [14]

Answer:

(a)D(q)=\frac{-1}{25} q+148

(b)S(q)=\frac{1}{50}q+58

(c)p_{*} =88\\\\q_{*} =1500

Step-by-step explanation:

(a) For the demand equation D(q) we have

<em>P1: 138 Q1: 250</em>

<em>P2: 108 Q2: 1000</em>

We can find <u><em>m</em></u>, which is the slope of the demand equation,

m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{108-38}{1000-250} =\frac{-30}{750}=\frac{-1}{25}

and then we find b, which is the point where the curve intersects the y axis.

We can do it by plugging one point and the slope into the line equation form:

y=mx+b\\\\D(q)=mq+b\\\\138=\frac{-1}{25}(250) +b\\\\138=-10+b\\\\138+10=b=148

<em>With b: 148 and m: -1/25 we can write our demand equation D(q)</em>

D(q)=\frac{-1}{25} q+148

(b) to find the supply equation S(q) we have

<em>P1: 102 Q1: 2200</em>

<em>P2: 102 Q2: 700</em>

<em></em>

Similarly we find <em>m</em>, and <em>b</em>

m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{72-102}{700-2200} =\frac{-30}{-1500}=\frac{1}{50}

y=mx+b\\\\D(q)=mq+b\\\\72=\frac{1}{50}(700) +b\\\\72=14+b\\\\72-14=b=58\\

<em>And we can write our Supply equation S(q):</em>

S(q)=\frac{1}{50}q+58

(c) Now we may find the equilibrium quantity q* and the equilibrium price p* by writing <em>D(q)=S(q)</em>, which means the demand <u><em>equals</em></u> the supply in equilibrium:

D(q)=S(q)\\\\\frac{-1}{25}q+148=\frac{1}{50}q+58\\\\

148-58=\frac{1q}{50} +\frac{1q}{25} \\\\90= \frac{1q}{50} +\frac{2q}{50}\\\\90=\frac{3q}{50}\\ \\q=1500\\\\

We plug 1500 as q into any equation, in this case S(q) and we get:

S(q)=\frac{1}{50}q+58\\\\S(1500)=\frac{1}{50}(1500)+58\\\\S(1500)=30+58\\\\S(1500)=88

Which is the equilibrium price p*.

8 0
3 years ago
What is the sum of the polynomials (-x^2+9)+(-3x^2-11x+4)
Marta_Voda [28]
You can just add the terms:

<span>(-x^2+9)+(-3x^2-11x+4) = -4x</span>² - 11x + 13
6 0
3 years ago
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Solve the inequality, <br> x + 6.56 &gt; 25.2
pogonyaev

Answer: x>18.64

Step-by-step explanation:

x+6.56-6.56>25.2-6.56

x>18.64

7 0
3 years ago
Sarah has 25 coins that are dimes and nickels. Together they total $2.00. How many of each type does she have?
Ivanshal [37]

Answer:

15 dimes and 10 nickels

Step-by-step explanation:

15 dimes because 15 multiplied by 10 cents is $1.50

10 nickels because 10 multiplied by 5 cents is $0.50

15 x 0.10 = 1.50         10 x 0.50 = 0.50

0.50 + 1.50 = 2.00

8 0
3 years ago
Read 2 more answers
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