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wolverine [178]
2 years ago
5

Pls help! will mark branliest!!! :)

Mathematics
1 answer:
Ket [755]2 years ago
8 0

The area of the house is the amount of space on the house.

  • The length of the addition is x + 20
  • The area of the original house is x^2 + 30x + 200

<h3>The length of the addition</h3>

The area of the addition is given as:

Area = x^2 + 10x - 200

Expand

Area = x^2 + 20x - 10x - 200

Factorize

Area = x(x + 20) - 10(x + 20)

Factor out x + 20

Area = (x -10)(x + 20)

The width of the addition is x - 10.

Hence, the length of the addition is x + 20

<h3>The area of the original house</h3>

The dimension of the original house is

x + 20 by x + 10

So, the area is:

Area =(x + 20)(x + 10)

Expand

Area =x^2 + 20x + 10x + 200

This gives

Area =x^2 + 30x + 200

Hence, the area of the original house is x^2 + 30x + 200

Read more about areas at:

brainly.com/question/24487155

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Listed below are the measured radiation emissions​ (in W/kg) corresponding to cell​ phones: A,​ B, C,​ D, E,​ F, G,​ H, I,​ J, a
Sophie [7]

Answer: a. Mean = 0.696364

b. Median = 0.64

c. Midrange = 0.895

d. There is no Mode

e. 2. The maximun data value is the most relevant statistic, because it is closest to the limit of 1.6W/kg and that cell should be avoided.

Step-by-step explanation:

a) Mean is an average number of the data set, calculated by the sum of all the value divided by the quantity of the set:

mean = \frac{0.75+0.22+1.23+0.64+0.54+0.24+0.81+1.57+0.29+1.02+0.35}{11}

mean = 0.696364

b) Median is the middle number in the list of numbers. In this case, since there are 11 elements in the set, the middle number is:

sorted numbers of the data set:

0.22 0.24 0.29 0.35 0.54 0.64 0.75 0.81 1.02 1.23 1.57

median = 0.64

c) Midrange is another type of average number. It is calculated as:

midrange = \frac{high+low}{2}

midrange = \frac{1.57+0.22}{2}

midrange = 0.895

d) Mode is the number that appears most often in the list of numbers. For this data set, each number appears only one time, so there is no mode.

Mode = 0

e) According to the question, cell phone radiation is dangerous when it is higher than 1.6W/kg. The cell phone with the maximum data value (1.57 W/kg) should be avoided, since it is too close to the limit described.

So, the measures of center are not the most important statistic to be observed but the maximum data value.

7 0
3 years ago
What is the solutuon to the eqation 1/2x+3=2/3x+1
pishuonlain [190]

Answer:

x =12

Step-by-step explanation:

1/2x + 3 = 2/3x + 1

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2 years ago
A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited
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Answer:

a: 28 < µ < 34

Step-by-step explanation:

We need the mean, var, and standard deviation for the data set.  See first attached photo for calculations for these...

We get a mean of 222/7 = 31.7143

and a sample standard deviation of: 4.3079

We can now construct our confidence interval.  See the second attached photo for the construction steps.

They want a 90% confidence interval.  Our sample size is 7, so since n < 30, we will use a t-score.  Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)

The t-value is: 1.943

We rounded down to the nearest person in the interval because we don't want to over estimate.  It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate.  It's better to use 28 and underestimate a little when considering customer flow.

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Answer:

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6f/6=84/6 f=14

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6f=84    

6/6f=84/6 cross out the sixes. Then, f=84/6. So, 84 divided by 6= 14. f=14. Each person paid $14.

YW!

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