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1 year ago

4 7/9 divided by 1 7/12

Mathematics

1 answer:

sesenic [268]1 year ago

6 0

Answer:

2 19/5

Step-by-step explanation:

4 7/9 ÷ 1 7/12

start by turning them into improper fraction by multiplying the denominator to the whole number and adding the product to the numerator , you will get :

42/9 ÷ 17/12

42/9 * 12/17 ( reciprocal )

42/3 * 4/17 (9 and 12 can be cut smaller because both are in 3's table)

= 172/51

turn this into mixed fraction by -

Divide the numerator by the denominator.

Write down the whole number answer

Then write down any remainder above the denominator

you will get = 2 19/5

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A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s

denpristay [2]

Answer:

For this case the 95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

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

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

In order to 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)

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

$df=n-1=40-1=39$

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

3 0

2 years ago

You sell sporting goods. Your wages depend on the value of your sales. One week you sold $3,500 in sporting goods, earning $950.

Semmy [17]

Answer:

y = 0.2x + 250

Step-by-step explanation:

let the sales be x and y be earnings

thus,

given

x₁ = $3,500 ; y₁ = $950

and,

x₂ = $2,800 ; y₂ = $810

Now,

the standard line equation is given as:

y = mx + c

here,

m is the slope

c is the constant

also,

m = $\frac{y_2-y_1}{x_2-x_1}$

m = $\frac{810-950}{\textup{2,800-3,500}}$

m = 0.2

substituting the value of 'm' in the equation, we get

y = 0.2x + c

now,

substituting the x₁ = $3,500 and y₁ = $950 in the above equation, we get

$950 = 0.2 × $3,500 + c

$950 = $700 + c

c = $250

hence,

The equation comes out as:

y = 0.2x + 250

7 0

1 year ago

Alinethatincludesthepoint(2, 7)has slope of 5 . what isitsequationin slope -intercept form

Vesna [10]

10? Im not sure though my friend just told me it was 10

8 0

1 year ago

A special shape is 2.02 m long and 1.22 m wide. A double row of tiles makes a border . Each tile is 2cm by 2cm. How many tiles a

Alex787 [66]

Answer:

6.48

Step-by-step explanation:

The computation of tiles are needed to make the border is shown below:-

$= 2 \times (length + breadth)$

where,

Length is 2.02 m

And, the breadth is 1.22

Now placing these values to the above formula

So, the number of tiles needed to make the border is

$= 2 \times (2.02 + 1.22)$

$= 2 \times 3.24$

= 6.48

Therefore for computing the tiles are needed to make the border we simply applied the above formula.

3 0

1 year ago

Zachary’s final project for college course took a semester to write and had 95,234 words.zachary wrote 35,295 words the first mo

kap26 [50]

Answer:

40,999

Step-by-step explanation:

95,234-35,295= 59,939 and then 59,939-19,240= 40,999

5 0

2 years ago