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Sonja [21]
3 years ago
9

I have to find the value of x​

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0

Answer:

x = 10

Step-by-step explanation:

To find x, write a proportion between the side lengths for the similar triangles in the figure.

\frac{x+5}{x}=\frac{18}{12}

To solve, cross multiply and isolate x.

(x+5)(12) = 18(x)

12x + 60 = 18x

60 = 6x

10 = x

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A random sample of 64 items is selected from a population of 400 items. The sample mean is 200. The population standard deviatio
Usimov [2.4K]

Answer:   (188.24,\ 211.76 ).

Step-by-step explanation:

Given : Sample size : n= 64 , the sample is a large sample (n>30), so we can apply z-test.

Sample mean = \overline{x}=200

Standard deviation : \sigma=48

Level of confidence:1-\alpha=0.95

\Rightarrow\ \alpha=0.05

Then, critical z-value =z_{\alpha/2}=1.96

The  confidence interval to estimate the population mean is given by :_

\overline{x}\ \pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

=200\ \pm\ (1.96)\dfrac{48}{\sqrt{64}}\\\\=200\pm11.76=(200-11.76, 200+11.76)=(188.24,\ 211.76 )

Hence, the  95% confidence interval to estimate the population mean can be computed as (188.24,\ 211.76 ).

7 0
3 years ago
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
Raul has 56 bouncy balls. he puts three times as many balls into red gift bags as he puts into green gift bags. if he puts the s
Oksi-84 [34.3K]

Raul has 56 bouncy balls

he puts the balls into red gift bags and green gift bags

so lets say he puts x number of balls into green gift bags

then we are told that he puts three times as many balls into red gift bags as he puts into green gift bags

so the number of balls he puts into red gift bags is - 3 * x = 3x

the total number of balls = 56

so we can write the following equation

x + 3x = 56

4x = 56

x = 56/4

x = 14

therefore the amount of balls he puts into green bags is - 14 balls


6 0
2 years ago
Read 2 more answers
PLATO
vitfil [10]

Answer:

d.)33.33%

Step-by-step explanation:

There are a total of 102 students that enjoy watching soccer most.

Of those 102, 34 are middle school students; that makes the relative frequency 34/102 = 33.33%.

7 0
3 years ago
Read 2 more answers
In what career would you most likely apply concepts from geometry?
Nitella [24]

Answer:

- Architect

- Cartographer and Photogrammetrist

- Drafter

- Mechanical Engineer

- Surveyor

- Urban and Regional Planner

Step-by-step explanation:

Architects utilize geometric principles while designing layouts for their ongoing projects, which can include buildings, electrical systems, and plumbing architecture.

Cartographers utilize geographic data to create or update maps for use in education, as well as environmental presentations.

Using the same geometric knowledge and applications as architects and engineers, drafters create design plans with the use of computer-aided design (CAD) software.

Mechanical engineers, some of the most diversified engineers, use a multitude of geometric concepts to design mechanical devices, or update existing structures.

Surveyors use geometry to take exact measurements of boundaries for different types of property.

Urban and regional planners rely on the same geometry practices used by surveyors when examining the positives and negatives of introducing new and updated plans for a community.

* Not my own words. This is the website if you need more info;

https://study.com/articles/jobs_that_involve_geometry.html

8 0
3 years ago
Read 2 more answers
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