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Leona [35]
3 years ago
11

Can anyone plz solve this for me??

Mathematics
1 answer:
Juliette [100K]3 years ago
6 0

Answer:

x = 33

Step-by-step explanation:

x/3 + 7 = 18

x/3 = 18 - 7

x/3 = 11

multiply both sides by 3

x = 33

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A community action committee is planning a block party. The party will be successful only if at least 70 adults and children att
Sergeeva-Olga [200]

Answer:

A. a + c ≥ 70; 15a + 4c ≤ 1000

Step-by-step explanation:

<u>Given data:</u>

A community action committee is planning a block party

The party will be successful if at least 70 adults (a) and children (c) attend

Their budget for the party is $1,000

The cost for each adult will be $15

And the cost for each child will be $4

<u>Solution:</u>

<u />

At least 70 adults and children attend.

So the inequality here is a + c ≥ 70

The budget for the party is $1,000.

So the cost for all adults plus the cost for all children cannot exceed $1,000

And hence the inequality here is; 15a + 4c ≤ 1,000

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3 years ago
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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

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3 years ago
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Factorize: x²+2+1/x² ​
andrew-mc [135]

x^{2}+\frac{1}{x^{2}}+2=\boxed{\left(x+\frac{1}{x} \right)^{2}}

8 0
2 years ago
How do I get to this answer step by step pleaseee quickly!!!!
frutty [35]

Answer:

Step-by-step explanation:

Direction: Opens Up

Vertex:  

(

3

,

−

4

)

Focus:  

(

3

,

−

15

4

)

Axis of Symmetry:  

x

=

3

Directrix:  

y

=

−

17

4

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

1

0

2

−

3

3

−

4

4

−

3

5

0

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

3

,

−

4

)

Focus:  

(

3

,

−

15

4

)

Axis of Symmetry:  

x

=

3

Directrix:  

y

=

−

17

4

x

y

1

0

2

−

3

3

−

4

4

−

3

5

0

5 0
3 years ago
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