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lesya692 [45]
3 years ago
7

4= t/2.5 t=? this is mathematics

Mathematics
2 answers:
nirvana33 [79]3 years ago
6 0

Answer:

4=t/2.5

*2.5 on both sides

10=t

Hope this helps!

-mark as brianliest-

taurus [48]3 years ago
4 0

Answer:

<h2>t = 10</h2>

Step-by-step explanation:

4=\dfrac{t}{2.5}\qquad\text{multiply both sides by 2.5}\\\\4\cdot2.5=\dfrac{t}{2.5\!\!\!\!\!\diagup}\cdot2.5\!\!\!\!\!\diagup\qquad\text{cancel 2.5}\\\\10=t\to t=10\\\\\text{Check:}\\\\\dfrac{10}{2.5}=4\qquad\bold{CORRECT}

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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 445445 gram setting. Is
marusya05 [52]

Answer:

Yes there is sufficient evidence.

Null hypothesis; H_o ; μ = 445

Alternative hypothesis; H_o ; μ ≠ 445

Step-by-step explanation:

The null hypothesis states that there is no difference in the test which is denoted by H_o. However, the sign of null hypothesis is denoted by the signs of = or ≥ or ≤.

Meanwhile, the alternative hypothesis is one that defers from the null hypothesis. This therefore implies a significant difference in the test. Thus, the signs of alternative hypothesis is denoted by; < or > or ≠.

Now, the question we have is a two tailed test. Thus;

The null hypothesis is;

bag filling machine works correctly at the 445 gram setting which is;

H_o ; μ = 445

The alternative hypothesis is;

bag filling machine works incorrectly at the 445 gram setting which is;

H_o ; μ ≠ 445

8 0
3 years ago
24 x 12 1/2 x 12 3/4 what is the volume of the fish tank
hjlf

Answer:

The volume is 3825 cubic units

Step-by-step explanation:

To find the volume of the fish tank multiply out the dimensions.

We were given the dimensions as:

24 \times 12 \frac{1}{2}  \times 12 \frac{3}{4}

Change the numbers to improper fractions

24 \times  \frac{25}{2}  \times \frac{51}{4}

We cancel out to get

3 \times 25 \times 51

3825

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3 years ago
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Step-by-step explanation:

7 0
3 years ago
Help? I can't seem to understand arithmegic sequence.
katrin2010 [14]

A sequence \{a_n\} is arithmetic if the difference between consecutive terms is some fixed number, regardless of which pair of consecutive terms you pick out of the sequence.

For example, the following sequences are arithmetic:

1, 2, 3, 4, 5, 6, ... (difference = 1)

-25, -20, -15, -10, -5, ... (difference = 5)

2. Carla's sequence is not arithmetic, because the differences between consecutive terms are all different:

13 - 11 = 2

17 - 13 = 4

25 - 17 = 8

She can adjust the sequence by changing the last two numbers to 15 and 17, since this makes the difference fixed:

13 - 11 = 2

15 - 13 = 2

17 - 15 = 2

and so on.

3. The sequence

45, 48, 51, 54, ...

is arithmetic with difference 3 between terms. Recursively, we can write the nth term, a_n, in terms of the previous, (n-1)th term, a_{n-1}:

a_n=a_{n-1}+3

By this definition, we can just as easily write the (n-1)th term in terms of the (n-2)th term:

a_{n-1}=a_{n-2}+3

Then, substituting this into the previous equation, we have

a_n=(a_{n-2}+3)+3=a_{n-2}+2\cdot3

We can continue this process to write a_n in terms of a_1:

a_{n-2}=a_{n-3}+3\implies a_n=a_{n-3}+3\cdot3

a_{n-3}=a_{n-4}+3\implies a_n=a_{n-4}+4\cdot3

and so on. (You might notice that the subscript of the term on the right side, and the number of 3s being added, together sum to n.) The pattern continues down to

a_n=a_1+(n-1)\cdot3

The first term in this sequence is a_1=45, so we have

a. a_n=45+3(n-1)=42+3n

where n=1,2,3,\ldots.

b. You can fill in the blanks by just adding 3 to the previous term:

45, 48, 51, 54, <u>57</u>, 60, <u>63</u>, 66, 69, ...

Then, using the formula found in (a), the 15th term of the sequence is

a_{15}=42+3\cdot15=87

4 0
2 years ago
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