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MissTica
2 years ago
12

Student Council is selling t-shirts and hats for $21 and $14, respectively. The club needs to raise at least $2730. They have re

ceived pre-sale orders of 80 t-shirts and 40 hats. Graph a system of linear inequalities that shows the number of t-shirts and hats they must sell in order to reach their goal. Use x for the number of t-shirts and y for the number of hats.
Choose the graph that shows all the possible combinations. List two possibilities.
Mathematics
1 answer:
sesenic [268]2 years ago
3 0

The required inequality is 3x + 2y > 390 and two possibilities is given by (100,45) and (80,75).

Student Council is selling t-shirts and hats for $21 and $14, respectively. The club needs to raise at least $2730.

<h3>What is inequality?</h3>

Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.

Let x for the number of t-shirts and y for the number of hats.

Now,
equation for to raise at least $2730.
21x + 14y > 2730
3x + 2y > 390

Two possibility can be caroled out from the graph i,e.  (100,45) and (80,75).

Thus, the required inequality is 3x + 2y > 390 and two possibilities is given by (100,45) and (80,75).  

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1

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Assume that a policyholder is four times more likely to file exactly two claims as to file exactly three claims. Assume also tha
kykrilka [37]

Answer:

1.3125

Step-by-step explanation:

Given that our random variable X follows a Poisson distributionP(X=k)=\frac{\lambda^k e^-^p}{k!} \ \ \ \ \ \ \ \ p=\lambda

Evaluate the formula at k=2,3:

P(X=2)=0.5\lambda^2e^{-\lambda}\\\\P(X=3)=\frac{1}{6}\lambda^2e^{-\lambda}

#since

4P(X=2)=P(X=3);\\\\0.5\lambda^2e^{-\lambda}=4\times\frac{1}{6}\lambda^3e^{-\lambda}\\\\0.5\lambda^2=\frac{2}{3}\lambda^3\\\\0.75=\lambda

The mean and variance of the Poisson distributed random variable is equal to \lambda:

\mu=\lambda=0.75\\\sigma ^2=\lambda=0.75

#By property variance:

\sigma ^2=V(X)=E(X^2)-(E(X))^2=E(X^2)\\\\E(X^2)=\sigma^2+\mu^2=0.75+0.75^2=1.3125

The expectation is 1.3125

4 0
3 years ago
The balance of a loan is $2,570 in January, and the monthly payment is $125.50. The relationship between the loan balance, y, an
tigry1 [53]

Answer:

600<2570-125.5x<2000  subtract 2570 from all terms...

-970<-125.5x<-570  divide all terms by -125.5 (and reverse signs because of division by a negative!)

7.73>x>4.54  and x is months since January, and since months can only be integers...

x=[5,7]

So January + 5, 6, and 7 respectively are the three months that satisfy the equation...

June, July, and August.

Step-by-step explanation:

6 0
2 years ago
Terry needs to carry a pole that
Natasha2012 [34]

Answer:

Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole.

Step-by-step explanation:

Using the Pythagorean Theorem, (a^2+b^2=c^2 ) we can measure the hypotenuse of a right triangle. Since the doorway is a rectangle, and a rectangle cut diagonally is a right triangle, we can use Pythagorean Theorem to measure the diagonal width of the doorway.

Plug in the values of the length and width of the door for a and b. The c value will represent the diagonal width of the doorway:

6^2+9^2=c^2

36+81=c^2

117=c^2

Since 117 is equal to the value of c multiplied by c, we must find the square root of 117 to find the value of c.

\sqrt{117} =10.8

10.8=c

Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole, measuring 10 feet.

7 0
3 years ago
The path of a roller coaster after it has reached the top of the first hill follows a polynomial function as shown in the graph
Paraphin [41]
The interval that f(x) is increasing is the distance from 200 to 300.
The minimum value of f(x) in the interval 0<x<300 is 200.
At a value of 500, the value of f(x) is 0.
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5 0
3 years ago
Read 2 more answers
Find the approximate side length of a square game board with an<br> area of 184 in2
andrey2020 [161]

The approximate side length of a square game board with an

area of 184 in^2 is 14 inches

<h3>Area of a square</h3>

The formula for calculating the area of a square is expressed as;

A = l^2

where

l is the side length of a square

Given the following parameters

A = 184 square inches

Substitute

184 l^2

l = √184

l = 13.56

Hence the approximate side length of a square game board with an

area of 184 in^2 is 14 inches

Learn more on area of a square here: brainly.com/question/25092270

#SPJ1

4 0
1 year ago
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