10.9 + (-15.6) + 2.1 write as a decimal

Find the value of x. if necessary, round to the nearest tenth a=47sq in

kipiarov [429]

the picture in the attached figure

we know that

area of the triangle is equal to

$A=(b*h)/2$

in this problem

A=47 in²

b=x

h=x

so

$47=x*x/2 \\ x^{2} =94 \\ x= \sqrt{94} \\ x=9.69 in \\ x=9.7in$

therefore

the answer is

x=9.7 in

3 0

3 years ago

Read 2 more answers

A white rabbit mates with a black rabbit the offspring is gray in color what type of heredity is this

koban [17]

I believe that it would actually be when it would be a "<span>codominace" as when both of the rabbits would be have a part in this baby.</span>

7 0

3 years ago

A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What pe

kicyunya [14]

Answer:

(a) 5.48%

(b) 17.82 years

(c) 21.19%

(d) 15.21 years

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

µ=12 years and σ=2.5 years.

(a) What percent of the radios will function for more than 16 years?

For x = 16

z = 16 - 12/2.5

z = 1.6

Probability value from Z-Table:

P(x<16) = 0.9452

P(x>16) = 1 - P(x<16)

1 - 0.9452

= 0.054799

Converting to percentage = 0.054799 × 100

= 5.4799%

Approximately = 5.48%

(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.

find the z score of the 99th percentile = 2.326

Hence:z = (x-μ)/σ

2.326 = x - 12/2.5

Cross Multiply

2.326 × 2.5 = x - 12

5.815 = x - 12

x = 12 + 5.815

x = 17.815

Approximately = 17.82 years

(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?

When x < 10

Hence,

z = 10 - 12/2.5

z = -0.8

Probability value from Z-Table:

P(x<10) = 0.21186

Converting to percentage

0.21186 × 100

= 21.186%

Approximately = 21.19%

(d) If 10% of the radios will function for more than X years, find X.

The z score would be : 100 - 10%

= 90th percentile z score

We find the z score of the 90th percentile = 1.282

Hence:z = (x-μ)/σ

1.282 = x - 12/2.5

Cross Multiply

1.282 × 2.5 = x - 12

3.205 = x - 12

x = 12 + 3.205

x = 15.205

Approximately = 15.21 years

4 0

3 years ago

Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football

Ronch [10]

Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

Boys Girls Total

Basketball 10 8 18

Football 25 7 32

Soccer 9 19 28

Baseball 18 22 40

Total 62 56 118

Compute the probability that Kyle will pick a girl who likes football as follows:

$P(F|G)=\frac{n(G\cap F)}{n(G)}$

$=\frac{7}{56}\\\\=0.125\\\\=12.5\%$

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

6 0

3 years ago

The International Average Salary Income Database provides a comparison of average salaries for various professions. The data are

Tamiku [17]

Solution :

The monthly average salary and the standard deviation of the salaries of five different countries are provided. A person is interested in the relationship between the job performance, job satisfaction and the job compensation of the five different countries and try to compare them.

She calculated the z scores for accounting that makes $ ,500 per month as :

Country z-score for salary $ 1,500

Brazil $\frac{1500-1351}{337.80} = 0.44$

US $\frac{1500-3370}{1011} = -1.85$

China $\frac{1500-165}{24.80} = 53.83$

Slovakia $\frac{1500-646}{96.80} = 8.82$

Kuwait $\frac{1500-2697}{808.20} = -1.48$

From above it is clear that an account from China getting z score of 53.83 will ne more pleased than other countries because the salary of $1,500 in one month for this particular country corresponds to the highest z score.

7 0

3 years ago

10.9 + (-15.6) + 2.1 write as a decimal​

10.9 + (-15.6) + 2.1 write as a decimal