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3 years ago

Twice the difference of a number And 6 equals 5

Mathematics

1 answer:

Annette [7]3 years ago

3 0

Answer:

x = 11/2

Step-by-step explanation:

solve : 2x-6 = 5

2x-6+6= 5+6 add 6

2x = 11 divid by 11

x = 11/2

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Gemiola [76]

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3 years ago

A or D i'm having a little trouble with this

sergeinik [125]

I believe it’s D bc I went over A and it doesn’t add up

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2 years ago

Hei has $1,300 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional

SVEN [57.7K]

Answer:

Her account balance after 5 years is $8702.87

Step-by-step explanation:

1500 (1.05) = 1575 --> after one year

1575 + 1500 = 3075

3075 (1.05) = 3228.75 --> after two years

3228.75 + 1500 = 4728.75

4728.75 (1.05) = 4965.1875 --> after three years

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7 0

2 years ago

Match the property name with the appropriate equation. Use each once.

vagabundo [1.1K]

Answer:

19. Opposite of a Difference ↔ E. -(8 - 3·m) = 3·m - 8

20. Opposite of a sum ↔ A. -[(-r) + 2p] = -(-r) - 2p

21. Opposite of an Opposite ↔ F. -1[ -1(9 - 2w)] = 9 - 2w

22. Multiplication by 0 ↔ B. 160 - (3d + 2)(0) = 160 - 0

23. Multiplication by ↔ D. -1 -(4r + 3s) + t = (-1)(4r + 3s) + t

21. Distributive property ↔ C. 5(2 - x) = 10 - 5x

Step-by-step explanation:

19. Opposite of a difference is the difference of the opposites

20. Opposite of a sum is the sum if the opposites

21. Opposite of an opposite is the original number

22. Multiplication by 0- The result of multiplication by 0 is 0

23. Multiplication by -1 results in the change in sign of a number

24. Distributive property - Multiplying the sum or difference of two numbers by a number, will have the same result as multiplying each each of the addends by the number individually and adding the product together.

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2 years ago

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

Kruka [31]

Answer:

$6.76-2.01\frac{2.55}{\sqrt{50}}=6.03$

$6.76+2.01\frac{2.55}{\sqrt{50}}=7.49$

The 95% confidence interval would be given by (6.03;7.49)

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n=50 represent the sample size

Solution

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

We can calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=6.76$

The sample deviation calculated $s=2.55$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=50-1=49$

We assume a standard confidence level of 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$6.76-2.01\frac{2.55}{\sqrt{50}}=6.03$

$6.76+2.01\frac{2.55}{\sqrt{50}}=7.49$

The 95% confidence interval would be given by (6.03;7.49)

3 0

3 years ago