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2 years ago

Help I need to tune in all my late work ...

Mathematics

2 answers:

Elena-2011 [213]2 years ago

8 0

Should be a scale factor of y= 1/9

kipiarov [429]2 years ago

6 0

Answer:

Scale factor is 9

Step-by-step explanation:

81 divided by 9 is 9

63 divided by 7 is 9

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The daily revenues of a cafe near the university are approximately normally distributed. The owner recently collected a random s

lbvjy [14]

Answer:

The sample size to obtain the desired margin of error is 160.

Step-by-step explanation:

The Margin of Error is given as

$MOE=z_{crit}\times\dfrac{\sigma}{\sqrt{n}}$

Rearranging this equation in terms of n gives

$n=\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2$

Now the Margin of Error is reduced by 2 so the new M_2 is given as M/2 so the value of n_2 is calculated as

$n_2=\left[z_{crit}\times \dfrac{\sigma}{M_2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{\sigma}{M/2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{2\sigma}{M}\right]^2\\n_2=2^2\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4n$

As n is given as 40 so the new sample size is given as

$n_2=4n\\n_2=4*40\\n_2=160$

So the sample size to obtain the desired margin of error is 160.

4 0

3 years ago

The sum of the arithmetic progression 4, ..., 76 is 1920. Find the number of terms and the common difference.

valkas [14]

<u>Number of terms = 48</u>

<u>common difference = 1.5</u>

This question involves the concept of Arithmetic Progression.

The formula for sum of an arithmetic progression series with first and last term given is;

$S_{n}$ = $\frac{n}{2}$ (a + l)

where;

a = first term

l = last term

n = number of terms

From the given sequence, we see that;

first term; a = 4

last term; l = 76

Sum of A.P; $S_{n}$ = 1920

Plugging in relevant values into the sum of an AP formula, we have;

1920 = $\frac{n}{2}$ (4 + 76)

simplifying this gives;

1920 = 40n

n = 1920/40

n = 48

Formula for nth term of an AP is;

$t_{n}$ = $a_{1}$ + (n - 1)d

where;

$a_{1}$ is first term

d is common difference

n is number of term

$t_{n}$ is the nth term in question

the 48th term is 76

Thus;

76 = 4 + (48 - 1)d

76 - 4 = 47d

72 = 47d

d = 72/47

d ≈ 1.5

Thus;

Number of terms = 48

common difference = 1.5

Read more at; brainly.com/question/16935540

4 0

2 years ago

3 packs of soda cost 10 dollars less than 5 packs of soda. How much does one pack of soda cost?

Nikolay [14]

3s = 5s - 10
-2s = -10
S = 5

S is the cost per pack in dollars

3 0

2 years ago

he volume of a rectangular prism is cubic units, and the base area of the prism is square units. The height of the rectangular p

lions [1.4K]

Answer: square units

Explanation: cubic units are used for volume, square units are used for he base, height, and area of a solid figure

4 0

2 years ago

Solve for x. 3x + 5 = 23

Lunna [17]

[|] Answer [|]

$\boxed{X \ = \ 6}$

[|] Explanation [|]

3x + 5 = 23

_________

Subtract 5 From Both Sides:

3x + 5 - 5 = 23 - 5

Simplify:

3x = 18

Divide Both Sides By 3:

$\frac{3x}{3} \ = \ \frac{18}{3}$

Simplify:

X = 6

_________

- Check Your Work -

Substitute 6 For X:

3 * 6 + 5 = 23

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

3 * 6 = 18

18 + 5 = 23

$\boxed{[|] \ Eclipsed \ [|]}$

8 0

2 years ago

Read 2 more answers