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Serjik [45]
3 years ago
6

#3: A home security company provides security systems for $5 per week plus an installation fee. The total fee for 12 weeks of se

rvice is $210. Write and solve a linear equation to find the cost of the installation fee.
Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer:

The installation fee is $150

Step-by-step explanation:

Ok so we need to see how much of the $210 is the installation fee. So first were going to multiply 5 by 12 which equals 60. So now were going to subtract that from the $210 so that gives us...

$210-$60=$150

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lakkis [162]

Answer:

<u>P (E1) = 1/2 or 50%</u>

<u>P (E2) = 3/13 or 23%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of playing cards = 52

Number of suits = 4

Number of cards per suit = 13

Number of black suits = 2

Number of red suits = 2

2.  Suppose E1 = the outcome is a red card and E2 = the outcome is a face card (K, Q, J). Determine P(E1 or E2).

P (E1) = Number of red cards/Total of playing cards

P (E1) = 26/52 = 1/2 = 50%

P (E2) = Number of face cards/Total of playing cards

P (E2) = 12/52 = 3/13 = 23%

8 0
3 years ago
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What sample size should be used if we would like to estimate the mean age of the college students at a particular campus with 95
nevsk [136]

Answer: 12

Step-by-step explanation:

The formula to find the sample size is given by:-

n=(\dfrac{z_c\cdot \sigma}{E})^2 , where \sigma is the population standard deviation, z_c is the z-value for the (1-\alpha) confidence interval and E is the margin of error .

As per given , we have

Population standard deviation : \sigma=5.1

z-value for 95% confidence interval : z_c=1.960

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Then, the required minimum sample :-

n=(\dfrac{(1.96)\cdot (5.1)}{3})^2\\\\\Rightarrow\ n=(3.332)^2=11.102224\approx12

Hence, the required minimum sample size = 12

3 0
3 years ago
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kykrilka [37]

Answer:

A) 2 cm

Step-by-step explanation:

The sum of two sides of a triangle must be greater than the third side

2 + 3 is not greater than 5

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kotegsom [21]
Check the picture below.

you simply come "clockwise" to get the negative angle.

and to get the positive angle, simply go around 2π and then add π/7 to it.

3 0
3 years ago
I NEED HELP <br> The perimeter of the shape is ____ feet.
Mademuasel [1]

Answer:

36

Step-by-step explanation:

Add all of the sides.

7 0
3 years ago
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