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3 years ago

The cost of a school banquet is 64 + 14n, where n is the number of people attending. What is the cost for 67 people

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

6 0

Answer:

ima probably fail I've been on this app just to get my grades up

Step-by-step explanation:

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What is the length of the missing leg?

Crank

Answer:

$a=\sqrt{609}\\\\a\approx 24.67793$

Step-by-step explanation:

To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,

$a^2+b^2=c^2$

Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,

$a^2+b^2=c^2\\$

Substitute,

$a^2+40^2=47^2\\$

Simplify,

$a^2+1600=2209\\$

Inverse operations,

$a^2=609$

$a=\sqrt{609}\\\\a\approx 24.67793$

8 0

3 years ago

Read 2 more answers

Suppose that 10% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Four homeown

guapka [62]

Remainder of question:

Find the probability distribution of x

Answer:

The random variable x is defined as: X = {0, 1, 2, 3, 4}

The probability distribution of X:

P(X = 0) = 0.656

P(X = 1) = 0.2916

P(X= 2) = 0.0486

P(X=3) = 0.0036

P(X = 4) = 0.0001

Step-by-step explanation:

Sample size, n = 4

Random variable, X = {0, 1, 2, 3, 4}

10% (0.1) of the homeowners are insured against earthquake, p = 0.1

Proportion of homeowners who are not insured against earthquake, q = 1 - 0.1

q = 0.9

Probability distribution of x,

$P(X = r) = ^nC_r *p^r q^{n-r} \\\\P(X= 0) =(^4C_0 *p^1 q^4 )\\P(X=0) = (^4C_0 *0.1^0 0.9^4 ) = 0.656\\P(X= 1)= (^4C_1 *p^1 q^3 )\\P(X=1) = (^4C_1 *0.1^1 0.9^3 ) = 0.2916\\P(X= 2)=( ^4C_2 *p^2 q^2) \\P(X=2) = (^4C_2 *0.1^2 0.9^2 ) = 0.0486\\P(X= 3) = (^4C_3 *p^3 q^3) \\ P(X=3) = (^4C_3 *0.1^3 0.9^1 ) = 0.0036\\P(X= 4) = (^4C_4 *p^4 q^0 )\\ P(X=4) =(^4C_4 *0.1^4 0.9^0 ) = 0.0001$

5 0

3 years ago

Susan deposits $1,200 in an account that earns 8% simple interest annually.

spayn [35]

interest = principal x rate x time

interest = 1344-1200 = 144

principal = 1200

rate = 8% = .08

144 = 1200 x .08 x Time

Time = 1.5 yrs

3 0

4 years ago

3. Elena can make 15 pizzas in 3 hours. If the number of pizzas is represented by p and time is represented by t, Write an equat

zhuklara [117]

Answer:

Your answer is 3x = 15

Step-by-step explanation:

3x = 15

Since 3 is being multiplied by x, we divide both sides by 3. 3x/3 cancels out, and you're left with x.

15/3 = 5

x = 5

This is my take using algebraic methods.

6 0

3 years ago

At a particular restaurant, each chicken wing has 80 calories and each slider has 300 calories. A combination meal with sliders

RoseWind [281]

Answer:

4 Sliders 2 chicken wings

Step-by-step explanation:
4x300=1200 2x80=160

8 0

3 years ago