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alexandr402 [8]
3 years ago
13

How many unique values of x solve x2 + 14x + 49 = 0?

Mathematics
1 answer:
Natalka [10]3 years ago
3 0
I think x= -7 but I'm not to sure
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Emanuel was charged \$32$32dollar sign, 32 for a 14\dfrac29 \text{ km}14 9 2 ​ km14, start fraction, 2, divided by, 9, end fract
zaharov [31]

Answer:

$2.25/km

Step-by-step explanation:

The cost charged for a total taxi ride of 14\frac{2}{9}\ km was $32. To get the cost per km, we divide the cost charged for the total taxi ride by the total distance that was traveled by the taxi. The cost per km is given by:

Cost per km = \frac{Cost \ of\ money\ charged}{Total\ distance}=\frac{\$ 32}{14\frac{2}{9} \ km}=\frac{32}{\frac{128}{9} }=   \$2.25/km

Therefore the cost per kilometer is $2.25 per kilometer. Each kilometer traveled by the taxi cost $2.25.

8 0
3 years ago
Read 2 more answers
An important factor in selling a residential property is the number of times real estate agents show a home. A sample of 23 home
yanalaym [24]

Using the t-distribution, it is found that:

a. The <u>margin of error</u> is of 4.7 homes.

b. The 98% confidence interval for the population mean is (19.3, 28.7).

The information given in the text is:

  • Sample mean of \overline{x} = 24.
  • Sample standard deviation of s = 9.
  • Sample size of n = 23.

We are given the <u>standard deviation for the sample</u>, which is why the t-distribution is used to solve this question.

The confidence interval is:

\overline{x} \pm M

The margin of error is:

M = t\frac{s}{\sqrt{n}}

Item a:

The critical value, using a t-distribution calculator, for a two-tailed <u>98% confidence interval</u>, with 23 - 1 = <u>22 df</u>, is t = 2.508.

Then, the <em>margin of error</em> is:

M = t\frac{s}{\sqrt{n}} = 2.508\frac{9}{\sqrt{23}} = 4.7

Item b:

The interval is:

\overline{x} - M = 24 - 4.7 = 19.3

\overline{x} + M = 24 + 4.7 = 28.7

The 98% confidence interval for the population mean is (19.3, 28.7).

A similar problem is given at brainly.com/question/15180581

3 0
2 years ago
Jason tossed a fair coin 3 times. What is the probability of getting a head and two tails in any order 1.3/8 2.4/8 3.5/8 4.6/8 p
ladessa [460]

Answer:

1. 3/8

Step-by-step explanation:

Total tossed times = 3

Total Possibilities = 8

Possibilities = (Head, Head, Head), (Tails,Tail,Tails), (Head,Head,Tails), (Head,Tail,Head), (Tails,Head,Head), (Head,Tail,Tail), (Tail,Tail,Head), (Tail,Head,Tail)

Number of options with a head and two tails = 3

So, Probability = Number of correct options ÷ Number of total possibilities

= 3 ÷ 8 or 3/8

4 0
3 years ago
Using the diagram on the right, find the length of GT and TA.
Art [367]

Answer:

GT=10\ units  and TA=6\ units

Step-by-step explanation:

we know that

In the diagram

Triangles GRT and GEA are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

\frac{GR}{GE}=\frac{GT}{GA}

we have

GR=5\ units

GE=5+3=8\ units

GT=16-x\ units

GA=16\ units

substitute

\frac{5}{8}=\frac{16-x}{16}\\ \\5*16=8*(16-x)\\ \\80=128-8x\\ \\8x=128-80\\ \\x=48/8\\ \\x=6\ units

therefore

GT=16-x=16-6=10\ units

TA=x=6\ units

5 0
2 years ago
Find the midpoint of the segment with endpoints of −11 + i and −4 + 4i.
Y_Kistochka [10]
The midpoint is the average of the endpoints.
  ((-11+i) + (-4+4i))/2 = -15/2 +5/2i
4 0
2 years ago
Read 2 more answers
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