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3 years ago

Find the value of x.

Mathematics

2 answers:

Dimas [21]3 years ago

7 0

Answer:

x=3

Step-by-step explanation:

32/24=(6x+6)/(9x-9)

simplify by 8 in the left

4/3=6(x+1)/9(x-1)

simplify by 3 in the right

4/3=2(x+1)/3(x-1)

*3 *3

4=2(x+1)/(x-1)

(x+1)/(x-1)=4/2=2

so x+1=2(x-1)=2x-2

-x -x

1=x-2

+2 +2

3=x

so x=3

verify (6*3+6)/(9*3-9)=32/24

24/18=32/24

simplify by 6 in the left

4/3=32/24

simplify by 8 in the right

4/3=4/3 TRUE

arlik [135]3 years ago

4 0

Answer:

or,6x+6=9x-9

or,6+9= 9x-6x

or,15=3x

or,15/3=X

therefore,X=5ans

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The pH of a solution is measured eight times by one operator using the same instrument. She obtains the following data: 7.15, 7.

Nikolay [14]

Answer:

(a)7.185

(b)0.000371

(d)Sample variance and Sample standard deviation

Step-by-step explanation:

We are given the following sample data.

7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.

(a) Calculate the sample mean. Round your answer to 3 decimal places.

The formula for sample mean =

Sum of terms/Number of terms

= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8

= 57.48/8

= 7.185

(b) Calculate the sample variance. Round your answer to 6 decimal places.

The formula for sample Variance =

(x - mean)²/n - 1

n = 8

Sample variance = (7.15 - 7.185)² + (7.20-

7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1

= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7

= 0.0026/7

= 0.000371428571

Approximately to 6 decimal places = 0.000371

The formula for Sample Standard Deviation = √Sample variance

= √0.000371428571

= 0.01927248223

To 3 decimal places = 0.019

(d) Which of the following are potential major sources of variability in the experiment

Sample variance

Sample standard deviation

4 0

4 years ago

Tomas has a garden with a length of 2.45 meters and a width of 5/8 meters. Use benchmarks to estimate the area and perimeter of

Alchen [17]

Answer: The area is 1 1/4. The perimeter is 6.

Step-by-step explanation: 2.45 is about 2.5. 5/8 is about 1/2. To find the area we need to multiply length times width. 2.5 is 2 and 1/2 which is 5/2. 5/2 times 1/2 is 5/4. To simplify it divide 5 by 4 which is 1 with remainder 1. 5/4 is 1 1/4. Therefore the area is 1 1/4 meters squared. To find the perimeter we have to add length + length + width + width. . 2.5 is the same thing as 2 1/2. 5/8 is about 1/2 if we use benchmarks. 2 1/2 + 2 1/2 + + 1/2 + 1/2 is 6. The perimeter is 6.

5 0

3 years ago

Read 2 more answers

Is this function quadratic? y+6x=14

grandymaker [24]

No, it’s a linear function

8 0

3 years ago

Question Progress

lorasvet [3.4K]

Answer=

a= 2<h<3

b=2.2

4 0

3 years ago

An article reports that blue eyed people earn less than brown eyed people, with these numbers: average blue-eyed salary $35,000,

stepladder [879]

Answer:

There is not enough evidence to support the claim that blue eyed people earn less than brown eyed people.

Step-by-step explanation:

In this case, we need to test whether the blue eyed people earn less than brown eyed people.

Let sample 1 denote the salary of blue eyed people and sample 2 denote the salary of brown eyed people.

The hypothesis to test the claim can be defined as follows:

H₀: The average salary of blue eyed people is not less than that for brown eyed people, i.e. μ₁ - μ₂ ≥ 0.

Hₐ: The average salary of blue eyed people is less than that for brown eyed people, i.e. μ₁ - μ₂ < 0.

It is provided that the p-value of the test is, p-value = 0.45.

The decision rule is:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

The p-value of the test is 0.45.

The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, it can be concluded that there is not enough evidence to support the claim that blue eyed people earn less than brown eyed people.

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3 years ago