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sertanlavr [38]
3 years ago
14

Simplify 7(x - 1) - 2(x + 1) + 3(x - 4) 8x - 21 8x - 4 8x + 21

Mathematics
1 answer:
Anna007 [38]3 years ago
7 0

Answer:

all work is shown and pictured

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Question 7 of 10
TEA [102]
The answer is definitely a
7 0
3 years ago
The radius of a cylindrical water tank is 4.5 ft, and its height is 8 ft. What is the volume of the tank?
Brums [2.3K]
The answer is 509 ft^3


Formula:
V = πr^2h
V = 3.14 * 4.5^2 * 8
V = 3.14 * 20.25 * 8
V = 508.68 ft^3

508.68 rounded to the nearest whole number is 509

So the volume of the cylinder is 509 ft^3
5 0
3 years ago
A sum of money was to be shared among three friends,Albert,Micheal,Moses in the ratio 3:5:6.if Micheal receives $45,find the sum
kirza4 [7]

Answer:

The sum of the money shared is $1372

Step-by-step explanation:

The given ratio is

Albert:Michael:Moses=3:5:6

The total ratio is 3+5+6=14

Let the sum of money shared be $x.

Then Albert's share = 3/14 x x = 3x/ 14

Michal's Share   = 5x/14

If Michael received $196 more than Albert, then the difference between their share is the $196.

7 0
3 years ago
While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem
Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = <em><u>population proportion</u></em>.

So, Null Hypothesis, H_0 : p = 0.013      {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, H_A : p > 0.013      {means that this is an unusually high number of faulty modems}

The test statistics that would be used here <u>One-sample z-test</u> for proportions;

                             T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~  N(0,1)

where, \hat p = sample proportion faulty modems= \frac{10}{367} = 0.027

           n = sample of modems = 367

So, <u><em>the test statistics</em></u>  =  \frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }

                                     =  2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. <u>Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.</u>

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u><em>we reject our null hypothesis</em></u>.

Therefore, we conclude that this is an unusually high number of faulty modems.

6 0
3 years ago
What is N in 25-n=32?
Lostsunrise [7]
Simplify both sides of the equation.

<span><span>25−n</span>=32

</span><span>Simplify:

</span><span><span><span>−n</span>+25</span>=32

</span>Subtract 25 from both sides.

<span><span><span><span>−n</span>+25</span>−25</span>=<span>32−25

</span></span><span><span>−n</span>=7

</span>Divide both sides by -1.

<span><span><span>−n/</span><span>−1 </span></span>= <span>7/<span>−1

</span></span></span><span>n=<span>−7

</span></span>Ans:
<span>n = <span>−7</span></span><span>
</span>
7 0
3 years ago
Read 2 more answers
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